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Removing DESpecs directory which deserted to git
| author | Klaus Thoden <kthoden@mpiwg-berlin.mpg.de> |
|---|---|
| date | Wed, 29 Nov 2017 16:55:37 +0100 |
| parents | 22d6a63640c6 |
| children |
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<?xml version="1.0" encoding="utf-8"?><echo xmlns="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:de="http://www.mpiwg-berlin.mpg.de/ns/de/1.0/" xmlns:dcterms="http://purl.org/dc/terms" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:echo="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.0RC"> <metadata> <dcterms:identifier>ECHO:merse_quest_508_fr_1635.xml</dcterms:identifier> <dcterms:creator identifier="GND:118581201">Mersenne, Marin</dcterms:creator> <dcterms:contributor identifier="GND:118537229">Galilei, Galileo</dcterms:contributor> <dcterms:title xml:lang="fr">Questions physico-mathematiques : et Les mechaniques du sieur Galilee : avec Les Prelvdes de l' harmonie universelle utiles aux philosophes, aux medecins, aux astrologues, aux ingenieurs, & aux musiciens</dcterms:title> <dcterms:date xsi:type="dcterms:W3CDTF">1635</dcterms:date> <dcterms:language xsi:type="dcterms:ISO639-3">fra</dcterms:language> <dcterms:rights>CC-BY-SA</dcterms:rights> <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license> <dcterms:rightsHolder xlink:href="http://www.mpiwg-berlin.mpg.de">Max Planck Institute for the History of Science, Library</dcterms:rightsHolder> <echodir>/permanent/archimedes_repository/large/merse_quest_508_fr_1635</echodir> <parameters>despecs = 1.1.2</parameters> </metadata> <text xml:lang="fr" type="free"> <div xml:id="echoid-div1" type="section" level="1" n="1"><pb file="00002" n="1"/> <handwritten/> </div> <div xml:id="echoid-div2" type="section" level="1" n="2"> <head xml:id="echoid-head1" xml:space="preserve">QVESTIONS <lb/>PHY SICO-MATHE-<lb/>MATIQVES.</head> <head xml:id="echoid-head2" xml:space="preserve">ET LES MECHANIQVES <lb/>du ſieur Galilee<unsure/> tres excellent Ma-<lb/>thematicien, & Ingenie<unsure/>ur du <lb/>Duc de Florence.</head> <head xml:id="echoid-head3" xml:space="preserve">AVEC LES PRELVDES <lb/>del harmonie vniuerſelle.</head> <head xml:id="echoid-head4" style="it" xml:space="preserve">Vtiles aux Philoſophes, aux Medecins, <lb/>aux Aſtrologn<unsure/>es, aux Ingènieurs, <lb/>& aux Muſiciens.</head> <head xml:id="echoid-head5" xml:space="preserve">Traduites del Italien par L.P.MM.</head> <handwritten/> <figure> <image file="00002-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00002-01"/> </figure> </div> <div xml:id="echoid-div3" type="section" level="1" n="3"> <head xml:id="echoid-head6" xml:space="preserve">APARIS, <lb/>Chez <emph style="sc">Henry</emph> <emph style="sc">Gvenon</emph>, rue S. Iacques <lb/>prèsles lacobins, à l’image S. Bernard. <lb/>M DC. XXXV.</head> <handwritten/> </div> <div xml:id="echoid-div4" type="section" level="1" n="4"> <head xml:id="echoid-head7" xml:space="preserve">Auet<unsure/> Approbat<unsure/>ion & Pr@@ilege.</head> <pb file="00003" n="2"/> <pb file="00004" n="3"/> <handwritten/> </div> <div xml:id="echoid-div5" type="section" level="1" n="5"> <head xml:id="echoid-head8" xml:space="preserve">LES <lb/>QVESTIONS <lb/>THEOLOGIQVES, <lb/>PHYSIQVES, MORALES, <lb/>ET MATHEMATIQVES.</head> <head xml:id="echoid-head9" style="it" xml:space="preserve">Où chacun trouuera du contentement, <lb/>ou de l’exercice.</head> <head xml:id="echoid-head10" xml:space="preserve">Compoſees par L. P. M</head> <handwritten/> <figure> <image file="00004-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00004-01"/> </figure> <handwritten/> </div> <div xml:id="echoid-div6" type="section" level="1" n="6"> <head xml:id="echoid-head11" xml:space="preserve">A PARIS, M. DC. XXXIV.</head> <head xml:id="echoid-head12" xml:space="preserve">Chez <emph style="sc">Henry</emph> <emph style="sc">Gvenon</emph>, ruë ſainct<unsure/> <lb/>Iacques, prés les Iacobins, à l’ima-<lb/>ge ſainct Bernard.</head> <head xml:id="echoid-head13" style="it" xml:space="preserve">Auec Priuilege & Approbation.</head> <pb file="00005" n="4"/> <figure> <image file="00005-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00005-01"/> </figure> <pb file="00006" n="5"/> <figure> <image file="00006-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00006-01"/> </figure> </div> <div xml:id="echoid-div7" type="section" level="1" n="7"> <head xml:id="echoid-head14" xml:space="preserve">A MONSIEVR <lb/>MONSIEVR <lb/>MELIAN, <lb/>THRESORIER <lb/>General de France.</head> <head xml:id="echoid-head15" xml:space="preserve">MONSIEVR,</head> <p style="it"> <s xml:id="echoid-s1" xml:space="preserve">Apres auoir conſideré pluſieurs effets <lb/>dela nature, & </s> <s xml:id="echoid-s2" xml:space="preserve">quelques difficultez <lb/>dans les ſciences, qui a<unsure/>rrestent les plus <lb/>ſçauans, i’en ay voulu propoſer vn cer-<lb/>tain nombre dans ce liure que ie vous <lb/>preſente, affin de vous tèmoigner l’eſti-<lb/>me que ie fais de voſtre excellent eſprit, <lb/>& </s> <s xml:id="echoid-s3" xml:space="preserve">d’ exciter les doctes àla recherche des <lb/>raiſons, qui peuuent ſatisfaire a tous <lb/>ceux qui ne ferment pas les yeux à la <lb/>lumiere. </s> <s xml:id="echoid-s4" xml:space="preserve">Ie ne doute nullemĕt que vous <pb file="00007" n="6" rhead="EPISTRE."/> ne ſçachiez tres bienqu il<unsure/> eſt mal ayſé <lb/>derencontrer les vrayes raiſons dont on <lb/>croit ſouuĕt enuiſager l’éclat, &</s> <s xml:id="echoid-s5" xml:space="preserve">la ſplĕ-<lb/>deur, encore que l on n’ayt trouué que <lb/>l’ombrc, & </s> <s xml:id="echoid-s6" xml:space="preserve">l’obſcurité, qui font ſou-<lb/>uent paroiſtre le menſonge ſous les <lb/>habits de la verité. </s> <s xml:id="echoid-s7" xml:space="preserve">Ce qui n’empeſche <lb/>pas que ceux qui ſ’efforcĕt de la trouuer <lb/>ne meritent de la loüange; </s> <s xml:id="echoid-s8" xml:space="preserve">& </s> <s xml:id="echoid-s9" xml:space="preserve">certes l’on <lb/>auroit tort de blaſmer tous ceux qui ont <lb/>recherché la raiſon pourquoy la pierre <lb/>d’aymant ne peut attirer le fer rougi, <lb/>pourquoy elle chaſſe les aiguilles par <lb/>l’vn de ſes coſtés, & </s> <s xml:id="echoid-s10" xml:space="preserve">qu’elle les attire <lb/>par l’autre, pourquoy le bout des barres <lb/>qui demeure long temps en bas attire <lb/>le midy de l’aiguille touchée, & </s> <s xml:id="echoid-s11" xml:space="preserve">que <lb/>l’autre bout le chaſſe, & </s> <s xml:id="echoid-s12" xml:space="preserve">qu’il attire ſa <lb/>partie ſeptentrionale, encore qu’ils <lb/>n’ayent pas trouué des raiſons aſſez for-<lb/>tes pour contenter tout le monde. </s> <s xml:id="echoid-s13" xml:space="preserve">Ilfaut <lb/>iuger la méme choſe des autres qui tra-<lb/>uaili<unsure/>ĕt à la recherche desveritez parti- <pb file="00008" n="7" rhead="EPISTRE."/> culi<unsure/>eres, car il ſemble que la capacité des <lb/>hommes eſt bornée par l’ècorce, & </s> <s xml:id="echoid-s14" xml:space="preserve">par <lb/>la ſurface des choſes corporelles, & </s> <s xml:id="echoid-s15" xml:space="preserve"><lb/>qu’ils ne peuuĕt penetrer plus auantque <lb/>la quantité, auec vne entiere ſatisfa-<lb/>ction. </s> <s xml:id="echoid-s16" xml:space="preserve">C eſt pourquoy les anciens n’ont <lb/>peu donner aucune demonſtration de ce <lb/>qui appartient aux qualités, & </s> <s xml:id="echoid-s17" xml:space="preserve">ſe ſont <lb/>reſtrei<unsure/>nts aux nombres, aux li<unsure/>gnes, & </s> <s xml:id="echoid-s18" xml:space="preserve"><lb/>aux figures. </s> <s xml:id="echoid-s19" xml:space="preserve">ſi l’on en excepte la peſan-<lb/>teur, dont Arcbimede a parlé dans ſes <lb/>Iſorropiques.</s> <s xml:id="echoid-s20" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s21" xml:space="preserve">Ori’eſpere que les Corollaires qui ſont <lb/>àla fin des Queſtions que ie propoſe, ne <lb/>vous plaironi<unsure/> pas moins que les Que-<lb/>ſtions meſmes, & </s> <s xml:id="echoid-s22" xml:space="preserve">que vous vous ran-<lb/>gerez libremĕt du partide Socrate, qui <lb/>tenoit que l’on ne peut rien ſçauoir ſi <lb/>l’on ignore Dieu: </s> <s xml:id="echoid-s23" xml:space="preserve">car puis qu’il n’ya<unsure/> rien <lb/>de poſſible ſi Dieu n’eſt, & </s> <s xml:id="echoid-s24" xml:space="preserve">que la poſ-<lb/>ſibilité de tous les eſtres depend abſolu-<lb/>ment de l’eſtre actuel de Dieu, comme <lb/>la puiſſance de l’acte, il est certain que <pb file="00009" n="8" rhead="EPISTRE."/> l’onne peut auoir la parfaite connoiſ-<lb/>ſance d’aucune choſe, ſi l’on ne connoiſt <lb/>la ſource dont elle prend ſon origine. </s> <s xml:id="echoid-s25" xml:space="preserve">Et <lb/>comme l’on auroit ſuiet de blaſmer vn <lb/>Philo ſophe qui voudroit connoiſtre la <lb/>nature des couleurs ſans<unsure/> ſçauoir celle de <lb/>la lumiere, qui leur donne l’eſtre, & </s> <s xml:id="echoid-s26" xml:space="preserve"><lb/>la ſubſiſtance, puis qu’il eſt impoſſible <lb/>qu il y ayt des couleurs ſans elle: </s> <s xml:id="echoid-s27" xml:space="preserve">de <lb/>meſme l’on peut iuſtement me ſpriſerce-<lb/>luy qui s’applique aux ſciences, s’il <lb/>n’eſſaye par leur moyen de s’auancer à <lb/>la connoiſſance de Dieu, pui@ qu’ elles <lb/>ſont comme des rayons de la diuinité, <lb/>qui; </s> <s xml:id="echoid-s28" xml:space="preserve">demonſtrent par leurs veritez im-<lb/>muables & </s> <s xml:id="echoid-s29" xml:space="preserve">et<unsure/>ernelles, & </s> <s xml:id="echoid-s30" xml:space="preserve">par leur <lb/>grande @ſtend@ë ſon immutabil@tè, ſon <lb/>éternit<unsure/>é, & </s> <s xml:id="echoid-s31" xml:space="preserve">ſon in@menſité. </s> <s xml:id="echoid-s32" xml:space="preserve">C’eſt donc <lb/>enceſte maniere<unsure/> que @ous les Chreſtiens <lb/>doiuent e<unsure/>nuiſager les ſciences, & </s> <s xml:id="echoid-s33" xml:space="preserve"><lb/>qu’ils s’en doiuĕt ſeruir comme de puiſ-<lb/>ſantes machines pour éleuer leur amour <lb/>qui<unsure/>@ſtle cenire de la peſanteur de toutes <pb file="00010" n="9" rhead="EPISTRE."/> leurs affections, aucentre de toutes les <lb/>creatures quine ſe trouue que dans la <lb/>bonté diuine, dont toutes les choſes tant <lb/>actuelles que poſſibles dependent beau-<lb/>coup plus que les ruiſſeaux ne depen-<lb/>dent de leur ſource. </s> <s xml:id="echoid-s34" xml:space="preserve">Car il eſt tres rai-<lb/>ſonnable qu’elles y retournent, & </s> <s xml:id="echoid-s35" xml:space="preserve"><lb/>qu’elles n’ayent point de plus grand <lb/>deſſein que de s<unsure/>‘y rendre, & </s> <s xml:id="echoid-s36" xml:space="preserve">de s’y pre-<lb/>cipiter, comme font tous les corps peſans <lb/>au centre de la terre, & </s> <s xml:id="echoid-s37" xml:space="preserve">toutes les ri-<lb/>uieres dans l’Ocean. </s> <s xml:id="echoid-s38" xml:space="preserve">Ie ne doute pas, <lb/>MONSIEVR, que vous ne <lb/>vous ſeruiez. </s> <s xml:id="echoid-s39" xml:space="preserve">de toutes les ſciences en <lb/>cette façon, & </s> <s xml:id="echoid-s40" xml:space="preserve">que vous n’en agreyez <lb/>l’vſage, dont i’ay tracé quelque crayon <lb/>dans ce liure, lequel ie vous prie de <lb/>receuoir auec la meſme affection que <lb/>celle qui m’a porté à vous l’offrir; </s> <s xml:id="echoid-s41" xml:space="preserve">c’eſtce <lb/>qu’eſpere</s> </p> <p> <s xml:id="echoid-s42" xml:space="preserve">Voſtre tres humble & </s> <s xml:id="echoid-s43" xml:space="preserve">tres-<lb/>affe<unsure/>ctionné ſeruiteur. <lb/></s> <s xml:id="echoid-s44" xml:space="preserve">F.</s> <s xml:id="echoid-s45" xml:space="preserve">M.</s> <s xml:id="echoid-s46" xml:space="preserve">Merſene M.</s> <s xml:id="echoid-s47" xml:space="preserve"/> </p> <pb file="00011" n="10"/> <figure> <image file="00011-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00011-01"/> </figure> </div> <div xml:id="echoid-div8" type="section" level="1" n="8"> <head xml:id="echoid-head16" style="it" xml:space="preserve">PREF ACE AV LECTEVR.</head> <p> <s xml:id="echoid-s48" xml:space="preserve">LEs Queſtions de ce Liure ne<unsure/> <lb/>ſont pas trop longues pour <lb/>ennuyer, ny ſi courtes qu’elles ne <lb/>faſſent voir les difficultez, qui ſe <lb/>rencontrent dans toutes les cho-<lb/>ſes que l’on ſe peut imaginer; <lb/></s> <s xml:id="echoid-s49" xml:space="preserve">c’eſt pourquoy i’eſpere qu’elles <lb/>ſeront aſſez agreables à ceux qui <lb/>prendront la peine de leslire, & </s> <s xml:id="echoid-s50" xml:space="preserve"><lb/>qu’elles ſeront cauſe que plu-<lb/>ſieurs nous dõneront leurs expe-<lb/>riences, & </s> <s xml:id="echoid-s51" xml:space="preserve">qu’ils enrichiront le <lb/>public de leurs penſées, & </s> <s xml:id="echoid-s52" xml:space="preserve">des ſo-<lb/>lutions de pluſieurs doutes quiſe <lb/>ſont formez, ou que l’on leur a <lb/>propoſez. </s> <s xml:id="echoid-s53" xml:space="preserve">Neantmoins ſi qu’el-<lb/>qu’vn ſe plaint de leur briefueté, <lb/>il trouuera dequoy ſe ſatisfaire <lb/>dans l’autre traité des Preludes de <pb file="00012" n="11" rhead="PREFACE."/> l’harmonie, dont les Queſtions <lb/>ont vneiuſte longueur, & </s> <s xml:id="echoid-s54" xml:space="preserve">dans <lb/>celuy des Mechaniques, qui re-<lb/>quiert plus d’attention que les <lb/>autres. </s> <s xml:id="echoid-s55" xml:space="preserve">Quoy qu’il en ſoit, l’on <lb/>verrale tiltre deſdites Queſtions <lb/>dans la table qui ſuit.</s> <s xml:id="echoid-s56" xml:space="preserve"/> </p> <pb file="00013" n="12"/> <figure> <image file="00013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00013-01"/> </figure> </div> <div xml:id="echoid-div9" type="section" level="1" n="9"> <head xml:id="echoid-head17" xml:space="preserve">TABLE <lb/>DES QVESTIONS <lb/>deceLiure.</head> <p style="it"> <s xml:id="echoid-s57" xml:space="preserve">I. </s> <s xml:id="echoid-s58" xml:space="preserve">Qu. </s> <s xml:id="echoid-s59" xml:space="preserve">QVelles ſont les principales cu-<lb/>rioſitez quioccupent les hõmes.</s> <s xml:id="echoid-s60" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s61" xml:space="preserve">II. </s> <s xml:id="echoid-s62" xml:space="preserve">Quclt. </s> <s xml:id="echoid-s63" xml:space="preserve">Pourquoy il y a des hommes <lb/>qui s’eſtiment ſi ſçauans, & </s> <s xml:id="echoid-s64" xml:space="preserve">que les autres <lb/>qui ſont plus ſçauans qu’eux s’eſtiment ſi <lb/>ignorans.</s> <s xml:id="echoid-s65" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s66" xml:space="preserve">III. </s> <s xml:id="echoid-s67" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s68" xml:space="preserve">Powrquoy l’eſtain calciné eſt <lb/>plus peſant que non calciné.</s> <s xml:id="echoid-s69" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s70" xml:space="preserve">IV. </s> <s xml:id="echoid-s71" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s72" xml:space="preserve">Aſſauoir ſi les corps peſans aug-<lb/>mcntent tou ſiours leurviſteſſe en deſcendant <lb/>aucentre de la terre.</s> <s xml:id="echoid-s73" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s74" xml:space="preserve">V. </s> <s xml:id="echoid-s75" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s76" xml:space="preserve">Pourquoy l’or de tonnerre fait-<lb/>ilvn grand bruit lors qu’il ſent la chaleur.</s> <s xml:id="echoid-s77" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s78" xml:space="preserve">VI. </s> <s xml:id="echoid-s79" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s80" xml:space="preserve">Comment les metaux s’en-<lb/>gendrent-ils dans la terre, puis que la cha-<lb/>leur du Soleil n’entre pas ſi auant.</s> <s xml:id="echoid-s81" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s82" xml:space="preserve">VII. </s> <s xml:id="echoid-s83" xml:space="preserve">Qucſt. </s> <s xml:id="echoid-s84" xml:space="preserve">Queleſt la plus grande por-<lb/>tée des Arque@uſcs, & </s> <s xml:id="echoid-s85" xml:space="preserve">des Canons, & </s> <s xml:id="echoid-s86" xml:space="preserve">en <lb/>quelle proportion diminuent ils leur force, <lb/>& </s> <s xml:id="echoid-s87" xml:space="preserve">leurviteſſe,</s> </p> <p style="it"> <s xml:id="echoid-s88" xml:space="preserve">VIII. </s> <s xml:id="echoid-s89" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s90" xml:space="preserve">Quelle eſt la ligne de di- <pb file="00014" n="13" rhead="TABLE."/> rection qui ſert aux Mechaniques.</s> <s xml:id="echoid-s91" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s92" xml:space="preserve">IX. </s> <s xml:id="echoid-s93" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s94" xml:space="preserve">Peut on donner la raiſen de <lb/>tout ce qui arriue à la Romaine & </s> <s xml:id="echoid-s95" xml:space="preserve">aux ba-<lb/>lances.</s> <s xml:id="echoid-s96" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s97" xml:space="preserve">X. </s> <s xml:id="echoid-s98" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s99" xml:space="preserve">Pourquoy les Romans ſe de-<lb/>bitent-@s mi@ux que les liures des ſciences.</s> <s xml:id="echoid-s100" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s101" xml:space="preserve">XI. </s> <s xml:id="echoid-s102" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s103" xml:space="preserve">Pourquoy les ſçaisans n’arri-<lb/>uent-ils pas ſi ordinairement aux grandes <lb/>dignitez, que les vaillans.</s> <s xml:id="echoid-s104" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s105" xml:space="preserve">XII. </s> <s xml:id="echoid-s106" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s107" xml:space="preserve">Peut-on trouuer la vraye <lb/>longitude tant ſur la mer que ſur la terre pour <lb/>la ſeureté, & </s> <s xml:id="echoid-s108" xml:space="preserve">la facilité des nauigarions, & </s> <s xml:id="echoid-s109" xml:space="preserve"><lb/>des autres vorages.</s> <s xml:id="echoid-s110" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s111" xml:space="preserve">XIII. </s> <s xml:id="echoid-s112" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s113" xml:space="preserve">Quelle eſt la choſe la plus <lb/>admirable de tout le monde.</s> <s xml:id="echoid-s114" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s115" xml:space="preserve">XIV. </s> <s xml:id="echoid-s116" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s117" xml:space="preserve">Pourquoy la pluſpart des <lb/>hommes preferent-ils le lucre & </s> <s xml:id="echoid-s118" xml:space="preserve">l’vtilité à <lb/>la ſcience, & </s> <s xml:id="echoid-s119" xml:space="preserve">à l’honneſteté.</s> <s xml:id="echoid-s120" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s121" xml:space="preserve">XV. </s> <s xml:id="echoid-s122" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s123" xml:space="preserve">Peut-on faire vn monuement <lb/>perpetuel par artifice.</s> <s xml:id="echoid-s124" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s125" xml:space="preserve">XVI. </s> <s xml:id="echoid-s126" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s127" xml:space="preserve">La quadrature du cercle eſt-<lb/>elle impoſsible?</s> <s xml:id="echoid-s128" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s129" xml:space="preserve">XVII. </s> <s xml:id="echoid-s130" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s131" xml:space="preserve">Les Taliſmans & </s> <s xml:id="echoid-s132" xml:space="preserve">les me-<lb/>taux que l’on graue peur attirer les influen-<lb/>ces du ciel ent ils quelque vertu particuliere?</s> <s xml:id="echoid-s133" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s134" xml:space="preserve">XVIII. </s> <s xml:id="echoid-s135" xml:space="preserve">Queſt Les Camaieux & </s> <s xml:id="echoid-s136" xml:space="preserve">Gamahez <lb/>ont-ils quelque vertu on ſignification.</s> <s xml:id="echoid-s137" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s138" xml:space="preserve">XIX. </s> <s xml:id="echoid-s139" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s140" xml:space="preserve">A quoy ſeruent les ſections <pb file="00015" n="14" rhead="TABLE."/> Coniques, & </s> <s xml:id="echoid-s141" xml:space="preserve">quel eſt leur vſage.</s> <s xml:id="echoid-s142" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s143" xml:space="preserve">XX. </s> <s xml:id="echoid-s144" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s145" xml:space="preserve">Peut-on lire dans les aſtres par <lb/>le moyen des miroirs, & </s> <s xml:id="echoid-s146" xml:space="preserve">de leurs rencontres.</s> <s xml:id="echoid-s147" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s148" xml:space="preserve">XXI. </s> <s xml:id="echoid-s149" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s150" xml:space="preserve">La lumiere eſt-elle di<unsure/>ſtincte <lb/>des couleurs: </s> <s xml:id="echoid-s151" xml:space="preserve">& </s> <s xml:id="echoid-s152" xml:space="preserve">quels corps terreſtres ent de <lb/>la lumicre.</s> <s xml:id="echoid-s153" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s154" xml:space="preserve">XXII. </s> <s xml:id="echoid-s155" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s156" xml:space="preserve">D’où vient la ſympathie, <lb/>& </s> <s xml:id="echoid-s157" xml:space="preserve">l’antipathie, & </s> <s xml:id="echoid-s158" xml:space="preserve">qu’elles ſont les vertus <lb/>occultes.</s> <s xml:id="echoid-s159" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s160" xml:space="preserve">XXIII. </s> <s xml:id="echoid-s161" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s162" xml:space="preserve">Pourquoy les nouuelles <lb/>demonſtrations que l’on trouue donnent-elles <lb/>tant de plaiſir.</s> <s xml:id="echoid-s163" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s164" xml:space="preserve">XXIV. </s> <s xml:id="echoid-s165" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s166" xml:space="preserve">Pourquoy la corne, le <lb/>verre le ta<unsure/>lc, & </s> <s xml:id="echoid-s167" xml:space="preserve">c. </s> <s xml:id="echoid-s168" xml:space="preserve">ſont-il; </s> <s xml:id="echoid-s169" xml:space="preserve">tranſparans.</s> <s xml:id="echoid-s170" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s171" xml:space="preserve">XXV. </s> <s xml:id="echoid-s172" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s173" xml:space="preserve">Le froid n’eſt-il autre choſe <lb/>que la priuation du chaud, & </s> <s xml:id="echoid-s174" xml:space="preserve">l’ombre de la <lb/>lumiere.</s> <s xml:id="echoid-s175" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s176" xml:space="preserve">XXVI. </s> <s xml:id="echoid-s177" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s178" xml:space="preserve">Qui ſont les ſecrets les-<lb/>plus recherchez dans tous les arts.</s> <s xml:id="echoid-s179" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s180" xml:space="preserve">XXVII. </s> <s xml:id="echoid-s181" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s182" xml:space="preserve">Combien la pierre d’ay-<lb/>mant a-elle de proprietez.</s> <s xml:id="echoid-s183" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s184" xml:space="preserve">XXIII. </s> <s xml:id="echoid-s185" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s186" xml:space="preserve">Peut-on confirmer les <lb/>myſteres de la Religion Chreſtienne par les <lb/>operations de la Chymie: </s> <s xml:id="echoid-s187" xml:space="preserve">où l’on void la <lb/>tenſure de la Sorbonne ſur les liures de K un-<lb/>rath.</s> <s xml:id="echoid-s188" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s189" xml:space="preserve">XXIX. </s> <s xml:id="echoid-s190" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s191" xml:space="preserve">Que peut-on inferer de tou-<lb/>tes les macules, & </s> <s xml:id="echoid-s192" xml:space="preserve">les flammes du Soleil.</s> <s xml:id="echoid-s193" xml:space="preserve"/> </p> <pb file="00016" n="15" rhead="TABLE."/> <p style="it"> <s xml:id="echoid-s194" xml:space="preserve">XXX. </s> <s xml:id="echoid-s195" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s196" xml:space="preserve">Que ſeruent les lunettes <lb/>de longueveuë pour la vie & </s> <s xml:id="echoid-s197" xml:space="preserve">pour les ſçiences.</s> <s xml:id="echoid-s198" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s199" xml:space="preserve">XXXI. </s> <s xml:id="echoid-s200" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s201" xml:space="preserve">Peut-on ſe chauffer en <lb/>France ſans vſer de bois, auec la ſeule torre.</s> <s xml:id="echoid-s202" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s203" xml:space="preserve">XXXII. </s> <s xml:id="echoid-s204" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s205" xml:space="preserve">Si le ſel engraiſſe la <lb/>terre pourquoy en ſome t’on deſſ@@ pour la <lb/>rendre ſterile.</s> <s xml:id="echoid-s206" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s207" xml:space="preserve">XXXIII. </s> <s xml:id="echoid-s208" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s209" xml:space="preserve">A quoy ſeruent les rai-<lb/>ſons, & </s> <s xml:id="echoid-s210" xml:space="preserve">les proportions de la Geometrie: </s> <s xml:id="echoid-s211" xml:space="preserve">& </s> <s xml:id="echoid-s212" xml:space="preserve"><lb/>qu’i<unsure/>ſt-ce que la Quadrature de la Parabole.</s> <s xml:id="echoid-s213" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s214" xml:space="preserve">XXXIV. </s> <s xml:id="echoid-s215" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s216" xml:space="preserve">Peut-on inuenter vne <lb/>nouuelle ſcience des ſons, qui ſe nomme <lb/>pſopho´ogie:</s> <s xml:id="echoid-s217" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s218" xml:space="preserve">XXXV. </s> <s xml:id="echoid-s219" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s220" xml:space="preserve">Pourquoy fait-il plus chaud <lb/>à l’ Eſté qu’a l’byuer, auquelle Soleileſtbeau-<lb/>coup plus pres de nous.</s> <s xml:id="echoid-s221" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s222" xml:space="preserve">XXXVI. </s> <s xml:id="echoid-s223" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s224" xml:space="preserve">Pourquoy les nuës qui <lb/>ſont ſi peſantes ne tombent elles pas ſur nous.</s> <s xml:id="echoid-s225" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s226" xml:space="preserve">XXXVII. </s> <s xml:id="echoid-s227" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s228" xml:space="preserve">Combien faut-il eſtre <lb/>éleué ſur la terre, ou ſur le Soleil pour voir <lb/>teleſpace qu’on voudra.</s> <s xml:id="echoid-s229" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s230" xml:space="preserve">XXXVIII. </s> <s xml:id="echoid-s231" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s232" xml:space="preserve">Les principes de l’O-<lb/>ptique ſont ils plus certains que ceux de la <lb/>Muſique.</s> <s xml:id="echoid-s233" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s234" xml:space="preserve">XXXIX. </s> <s xml:id="echoid-s235" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s236" xml:space="preserve">De quelles matieres ſe <lb/>ſoruent les Teincturiers pour teindre la leine, <lb/>& </s> <s xml:id="echoid-s237" xml:space="preserve">la ſoye.</s> <s xml:id="echoid-s238" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s239" xml:space="preserve">XL. </s> <s xml:id="echoid-s240" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s241" xml:space="preserve">Pourquoy void-on l’baleine <pb file="00017" n="16" rhead="TABLE."/> dupoulmon à l’byuer, & </s> <s xml:id="echoid-s242" xml:space="preserve">non à l’eſté.</s> <s xml:id="echoid-s243" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s244" xml:space="preserve">XLI. </s> <s xml:id="echoid-s245" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s246" xml:space="preserve">Les figures Iſoporimetres <lb/>les mieux ordonnées ſont elles touſiours les <lb/>plus grandes.</s> <s xml:id="echoid-s247" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s248" xml:space="preserve">XLII. </s> <s xml:id="echoid-s249" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s250" xml:space="preserve">La blancheur eſt-elle la <lb/>plus exellente de toutes les conlour.</s> <s xml:id="echoid-s251" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s252" xml:space="preserve">XLIII. </s> <s xml:id="echoid-s253" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s254" xml:space="preserve">Pourquey les recreations <lb/>que l’on prend en preſence des Superiturs ne <lb/>ſont-elles pas ſi grandes qu’on leur ab-<lb/>ſence.</s> <s xml:id="echoid-s255" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s256" xml:space="preserve">XLIV. </s> <s xml:id="echoid-s257" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s258" xml:space="preserve">Quelle doit @ſtre la force <lb/>de la voix pour eſtre portée, & </s> <s xml:id="echoid-s259" xml:space="preserve">ente@due de-<lb/>puis la terre iuſques au Firmament.</s> <s xml:id="echoid-s260" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s261" xml:space="preserve">XLV. </s> <s xml:id="echoid-s262" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s263" xml:space="preserve">Eſt il permis de ſouſtenir <lb/>que la terre eſt mobile: </s> <s xml:id="echoid-s264" xml:space="preserve">où la Cenſure des dia-<lb/>logues de Galilee eſt rapportée tout au long.</s> <s xml:id="echoid-s265" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s266" xml:space="preserve">XLVI. </s> <s xml:id="echoid-s267" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s268" xml:space="preserve">Pourquoy la nature ſe <lb/>plaiſt elle à la diuerſité des obiets.</s> <s xml:id="echoid-s269" xml:space="preserve"/> </p> <pb file="00018" n="17"/> </div> <div xml:id="echoid-div10" type="section" level="1" n="10"> <head xml:id="echoid-head18" style="it" xml:space="preserve">APPROBATION.</head> <p> <s xml:id="echoid-s270" xml:space="preserve">Novs Decteur en la Faculté de Theolo-<lb/>giede Paris, & </s> <s xml:id="echoid-s271" xml:space="preserve">Curé de S. </s> <s xml:id="echoid-s272" xml:space="preserve">Iacques de la <lb/>Boucherie certifions auoir leu le liure de qua-<lb/>rantes ſix Queſtions Phyſiques & </s> <s xml:id="echoid-s273" xml:space="preserve">Mathemati-<lb/>ques compoſé Par le R. </s> <s xml:id="echoid-s274" xml:space="preserve">P. </s> <s xml:id="echoid-s275" xml:space="preserve">Merſenne R. </s> <s xml:id="echoid-s276" xml:space="preserve">Minime, <lb/>& </s> <s xml:id="echoid-s277" xml:space="preserve">n’y auoir rien trouué qui ſoit contre les bon-<lb/>nes mœurs & </s> <s xml:id="echoid-s278" xml:space="preserve">regles de la foy. </s> <s xml:id="echoid-s279" xml:space="preserve">Faict à Paris <lb/>cezo. </s> <s xml:id="echoid-s280" xml:space="preserve">Iuin, 1634.</s> <s xml:id="echoid-s281" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s282" xml:space="preserve"><emph style="sc">Chapelas</emph>.</s> <s xml:id="echoid-s283" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div11" type="section" level="1" n="11"> <head xml:id="echoid-head19" style="it" xml:space="preserve">APPROBATION.</head> <p> <s xml:id="echoid-s284" xml:space="preserve">NOvs auons veu & </s> <s xml:id="echoid-s285" xml:space="preserve">approuué lestraitez <lb/>ſuiuans du R. </s> <s xml:id="echoid-s286" xml:space="preserve">P. </s> <s xml:id="echoid-s287" xml:space="preserve">M. </s> <s xml:id="echoid-s288" xml:space="preserve">Merſenne Reli-<lb/>gieux de noſtre Ordre, à ſçauoir les Queſtions <lb/>Thcologiques, Phyſiques, & </s> <s xml:id="echoid-s289" xml:space="preserve">tradution des Mecbani-<lb/>ques de Galiiée, & </s> <s xml:id="echoid-s290" xml:space="preserve">les Preludes de l<unsure/> Harmonic & </s> <s xml:id="echoid-s291" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s292" xml:space="preserve">& </s> <s xml:id="echoid-s293" xml:space="preserve">n’y auons rien trouué qui ne ſoit conforme <lb/>à la vraye Theologie, & </s> <s xml:id="echoid-s294" xml:space="preserve">aux bonnes mœurs. </s> <s xml:id="echoid-s295" xml:space="preserve"><lb/>En foy dequoy nousauons icy misnos ſeings <lb/>faic en noltre Conuent de la place Royalle <lb/>ce<unsure/>zo. </s> <s xml:id="echoid-s296" xml:space="preserve">Iuin 1634.</s> <s xml:id="echoid-s297" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s298" xml:space="preserve">F. </s> <s xml:id="echoid-s299" xml:space="preserve"><emph style="sc">François de la</emph> <emph style="sc">Noüe</emph> Minime.</s> <s xml:id="echoid-s300" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s301" xml:space="preserve">F. </s> <s xml:id="echoid-s302" xml:space="preserve"><emph style="sc">Martin</emph>. </s> <s xml:id="echoid-s303" xml:space="preserve"><emph style="sc">Herisse</emph> Minime.</s> <s xml:id="echoid-s304" xml:space="preserve"/> </p> <pb file="00019" n="18"/> </div> <div xml:id="echoid-div12" type="section" level="1" n="12"> <head xml:id="echoid-head20" style="it" xml:space="preserve">PRIVILEGE DV ROγ.</head> <p> <s xml:id="echoid-s305" xml:space="preserve">PAr lettres du Roy donnees à Paris <lb/>le mois d’Aouſt de l’année 1634. <lb/></s> <s xml:id="echoid-s306" xml:space="preserve">ſignees Perrochel, & </s> <s xml:id="echoid-s307" xml:space="preserve">ſeellees du grand <lb/>ſceau de cire iaune, il eſt permi<unsure/>s au <lb/>P. </s> <s xml:id="echoid-s308" xml:space="preserve">M. </s> <s xml:id="echoid-s309" xml:space="preserve">Merſenne Religieux Minime <lb/>de faire imprimer par tel Libraire que <lb/>bon luy ſemblera Pluſieurs Trautez de <lb/>Philoſophi@, de Theologie, & </s> <s xml:id="echoid-s310" xml:space="preserve">de Mathema-<lb/>tique. </s> <s xml:id="echoid-s311" xml:space="preserve">Et deffences ſont faite; </s> <s xml:id="echoid-s312" xml:space="preserve">à toutes <lb/>perſonnes de quelque qualite qu’ils <lb/>ſoientde les faire imprimer, vendre & </s> <s xml:id="echoid-s313" xml:space="preserve"><lb/>diſtribuer pendantle temps de ſix ans à <lb/>compter du iour que leidits liures ſe-<lb/>tont acheuez d’imprimer, comme il <lb/>eſt plus amplement potté dans les let-<lb/>tres dudit Priuilege.</s> <s xml:id="echoid-s314" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s315" xml:space="preserve">Etledit P. </s> <s xml:id="echoid-s316" xml:space="preserve">M. </s> <s xml:id="echoid-s317" xml:space="preserve">Merſenne à conſenty & </s> <s xml:id="echoid-s318" xml:space="preserve">con-<lb/>fent que Henry Guenon ioüiſſe dudit Pri-<lb/>nilege, comme il eſt plus amplement decla-<lb/>ré par l’accord fait entr eux.</s> <s xml:id="echoid-s319" xml:space="preserve"/> </p> <pb o="1" file="00020" n="19"/> <figure> <image file="00020-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00020-01"/> </figure> </div> <div xml:id="echoid-div13" type="section" level="1" n="13"> <head xml:id="echoid-head21" xml:space="preserve">PREMIERE <lb/>PARTIE DES <lb/>QVESTIONS THEO-<lb/>LOGIQVES, MORALES, <lb/>Phyſiques & Mathematiques.</head> <head xml:id="echoid-head22" xml:space="preserve">QVESTION PREMIERE.</head> <head xml:id="echoid-head23" style="it" xml:space="preserve">Quelles ſont les principales curioſitez qui <lb/>occupent les hommes?</head> <p> <s xml:id="echoid-s320" xml:space="preserve">IEne mets pasles Arts qui <lb/>ſont neceſſaires à la vio<unsure/> <lb/>humaine entre les curio-<lb/>ſitez, mais ſeulemĕt ceux <lb/>dont il eſt ayſé de ſe paſ-<lb/>ſer: </s> <s xml:id="echoid-s321" xml:space="preserve">car l’Agriculture & </s> <s xml:id="echoid-s322" xml:space="preserve">tous les Att@ <lb/>qui appattiennent au meſnage, par <lb/>exemple, l’att de la peſcherie, & </s> <s xml:id="echoid-s323" xml:space="preserve">de la <lb/>chaſſe, l’art de boulanger, & </s> <s xml:id="echoid-s324" xml:space="preserve">de faire l@ <pb o="2" file="00021" n="20" rhead="Queſtions Phyſiques,"/> beurre, & </s> <s xml:id="echoid-s325" xml:space="preserve">c. </s> <s xml:id="echoid-s326" xml:space="preserve">ſont ſi vtiles à la vie, qu’il <lb/>eſt difficile de l’entretenir ſans ces Arts <lb/>que la neceſſité a fait rencontrer.</s> <s xml:id="echoid-s327" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s328" xml:space="preserve">Or les hommes monſtrent euidern-<lb/>ment par leur procedé, & </s> <s xml:id="echoid-s329" xml:space="preserve">par leurs <lb/>exercices, qu’ils donnent plus de temps <lb/>aux curioſitez qu’aux choſes neceſſai-<lb/>res, car les Canadois & </s> <s xml:id="echoid-s330" xml:space="preserve">pluſieurs autres <lb/>nations témoignent par leur façon de <lb/>viure que l’art de lire, & </s> <s xml:id="echoid-s331" xml:space="preserve">d’écrire, & </s> <s xml:id="echoid-s332" xml:space="preserve"><lb/>que tous les Arts, dont ie parleray <lb/>apres, ne ſont pas neceſſaires; </s> <s xml:id="echoid-s333" xml:space="preserve">& </s> <s xml:id="echoid-s334" xml:space="preserve">con-<lb/>ſequemment qu’ils peuuent eſtre mis <lb/>au nombre des curioſitez, car les doigts <lb/>ſuffiſent à nombrer tout ce dont on a <lb/>beſoin, tant parce que le nombre de-<lb/>naire contient tous les autres, que par-<lb/>ce qu’on recommence à nombrer par <lb/>les meſmes doigts tant de fois que l’on <lb/>veut; </s> <s xml:id="echoid-s335" xml:space="preserve">ce qui ſe peut auſſi faire auec <lb/>de petits cailloux, qui ont donné le <lb/>nom au calcul, ſans qu’il ſoit beſoin <lb/>de jettons, ou de plume. </s> <s xml:id="echoid-s336" xml:space="preserve">L’on peut <lb/>dire la meſme choſe de la @eometrie, & </s> <s xml:id="echoid-s337" xml:space="preserve"><lb/>de toutes les parties des Mathemati-<lb/>ques, mais parce que l’õ les a iugées ne-<lb/>ceſlairesen noſtre temps, à raiſon de la <lb/>guerre, des fortifications, & </s> <s xml:id="echoid-s338" xml:space="preserve">de plu- <pb o="3" file="00022" n="21" rhead="& Mathematiques."/> ſieurs parties de la police, il vaut mieux <lb/>mettre l’art des Floriſtes qui gouuer-<lb/>nentles Tulipes, & </s> <s xml:id="echoid-s339" xml:space="preserve">les autres fleurs, & </s> <s xml:id="echoid-s340" xml:space="preserve"><lb/>ceux qui font des cabinets de medail-<lb/>les, d’empreintes, de crayons, de por-<lb/>traits, d’images, & </s> <s xml:id="echoid-s341" xml:space="preserve">de tableaux, entre <lb/>les curieux, d’autãt que cet eſtude n’eſt <lb/>pas neceſſaire à la Republique. </s> <s xml:id="echoid-s342" xml:space="preserve">Ce qu’il <lb/>faut auſſi conclure de ceux qui ramaſ-<lb/>ſent les gemmes, les camaieux, les pie-<lb/>res fines, les coquilles, les fruits eſtran-<lb/>gers, le ſcelet des differentes eſpeces <lb/>de poiſſons, les papillõs, les mouches, & </s> <s xml:id="echoid-s343" xml:space="preserve"><lb/>les autres inſectes. </s> <s xml:id="echoid-s344" xml:space="preserve">Ie laiſſe l’art de filler <lb/>la ſoye, de nourrir lesvers, les beſtes fau-<lb/>ues, & </s> <s xml:id="echoid-s345" xml:space="preserve">les oyſeaux, & </s> <s xml:id="echoid-s346" xml:space="preserve">de leur apprendre <lb/>à parler: </s> <s xml:id="echoid-s347" xml:space="preserve">l’art de faire les Inſtruments <lb/>de Muſique, & </s> <s xml:id="echoid-s348" xml:space="preserve">d’enioüer, & </s> <s xml:id="echoid-s349" xml:space="preserve">generale-<lb/>ment toutes les differentes ſortes de <lb/>ieux, & </s> <s xml:id="echoid-s350" xml:space="preserve">d’exercices tant de l’eſprit que <lb/>du corps, ſans leſquels l’on peut viure, <lb/>& </s> <s xml:id="echoid-s351" xml:space="preserve">dont on n’a pas grand beſoin, car l’on <lb/>peut mettre tous ces Arts entre les <lb/>principales curioſitez du monde: </s> <s xml:id="echoid-s352" xml:space="preserve">ſi ce <lb/>n’eſt que l’on leur prefere l’eſtude des <lb/>Aſtrologues, des Phyſionomes, & </s> <s xml:id="echoid-s353" xml:space="preserve">des <lb/>Chyromanciens, & </s> <s xml:id="echoid-s354" xml:space="preserve">que l’on croye que <lb/>toutes les gentilleſſes qui dependenr <pb o="4" file="00023" n="22" rhead="Queſtions Phyſiques,"/> des miroirs, des lunettes à longue & </s> <s xml:id="echoid-s355" xml:space="preserve"><lb/>courte veuë, & </s> <s xml:id="echoid-s356" xml:space="preserve">des operations de Chy-<lb/>mie, ſont les principales curioſitez.</s> <s xml:id="echoid-s357" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s358" xml:space="preserve">Oril y a plaiſir de conſiderer ce que <lb/>les hommes priſent dauantage dans <lb/>chaque genre de curioſités: </s> <s xml:id="echoid-s359" xml:space="preserve">parexem-<lb/>ple, ce que l’on iuge de plus excellent, <lb/>& </s> <s xml:id="echoid-s360" xml:space="preserve">de plus remarquable parmy les co-<lb/>quilles, dõt quelques-vns croyent que <lb/>celles qui ſont faites à vis, ou en helice <lb/>qui va de droit à gauche ſont fort rares, <lb/>parce que toutes les autres vont de <lb/>gauche à droit. </s> <s xml:id="echoid-s361" xml:space="preserve">Où l’on peut ſembla-<lb/>blemĕt remarquer, que toutes les plan-<lb/>tes & </s> <s xml:id="echoid-s362" xml:space="preserve">les herbes qui s’entortillent au-<lb/>tour des pieux, ou des arbres qu’elles <lb/>rencontrent, commencent & </s> <s xml:id="echoid-s363" xml:space="preserve">conti-<lb/>nuent touſiours leurs plis de droict à <lb/>gauche, comme l’on experimente aux <lb/>poids de coq & </s> <s xml:id="echoid-s364" xml:space="preserve">à toutes celles que l’on <lb/>appelle Volubiles, excepté le ſeul hou-<lb/>blon, qui s’entortille de gauche à droit. <lb/></s> <s xml:id="echoid-s365" xml:space="preserve">On tientauſſi queles coquilles qui ont <lb/>des notes de Muſique, ſont rates: </s> <s xml:id="echoid-s366" xml:space="preserve">ce <lb/>qui arriue encore aux papillons, qui <lb/>ont des lettres Grecques, ou d’autres <lb/>characteres ſur leurs aiſles. </s> <s xml:id="echoid-s367" xml:space="preserve">Ie laiſſe la<unsure/> <lb/>maniere de tourner en l’air par le moyĕ <pb o="5" file="00024" n="23" rhead="& Mathematiques."/> de laquelle on fait des eſcaliers ſi me-<lb/>nus en forme de colomnes torces, & </s> <s xml:id="echoid-s368" xml:space="preserve"><lb/>en pluſieurs autres manieres, que l’on a <lb/>de la peine à les voir, ou à les tenir, en-<lb/>core qu’ils ſoient d’vn pied de long. </s> <s xml:id="echoid-s369" xml:space="preserve">Ie <lb/>laiſſe toutes les ſubtilitez des pompes, <lb/>des fontaines artificielles, des differen-<lb/>tes manieres d’écrire occultement ſans <lb/>que l’on puiſſe apperceuoir l’écriture; <lb/></s> <s xml:id="echoid-s370" xml:space="preserve">la maniere de tirer & </s> <s xml:id="echoid-s371" xml:space="preserve">de battre l’or, l’ar-<lb/>gent & </s> <s xml:id="echoid-s372" xml:space="preserve">les autres metaux, de faireles <lb/>tapiſſeries de haute lice, & </s> <s xml:id="echoid-s373" xml:space="preserve">pluſieurs <lb/>autres Arts, qui peuuent eſtre mis au <lb/>rang des curioſitez, puis qu’ils ne ſont <lb/>pas neceſſaires à la vie humaine, com-<lb/>me l’on experimente chez les Toupi-<lb/>nambous, Montagnards, & </s> <s xml:id="echoid-s374" xml:space="preserve">autres ſau-<lb/>uages, qui viuent ſans l’vſage de ces <lb/>Arts.</s> <s xml:id="echoid-s375" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s376" xml:space="preserve">D’où l’on peut aiſèment conclure <lb/>que la plus grande partie de lavie & </s> <s xml:id="echoid-s377" xml:space="preserve">du <lb/>labeur des hommes s’employe aux cu-<lb/>rioſitez, & </s> <s xml:id="echoid-s378" xml:space="preserve">conſequemment que l’on <lb/>en employe la moindre à la neceſſité.</s> <s xml:id="echoid-s379" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div14" type="section" level="1" n="14"> <head xml:id="echoid-head24" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s380" xml:space="preserve">Il ſeroit à deſirer que ceux qui ont <pb o="6" file="00025" n="24" rhead="Queſtions Phyſiques,"/> des cabinets tres-rares, remarquaſſent <lb/>ce qu’il y a de plus exquis dans chaque <lb/>genre, & </s> <s xml:id="echoid-s381" xml:space="preserve">qu’ils aduertiſſent de l’vtilité <lb/>que l’on en peut retirer pour les Arts, <lb/>& </s> <s xml:id="echoid-s382" xml:space="preserve">pour les ſciences: </s> <s xml:id="echoid-s383" xml:space="preserve">par exemple, qu’ils <lb/>fiſſent vn dénombrement des coquil-<lb/>les les plus rares, & </s> <s xml:id="echoid-s384" xml:space="preserve">dont on fait plus <lb/>d’eſtime; </s> <s xml:id="echoid-s385" xml:space="preserve">& </s> <s xml:id="echoid-s386" xml:space="preserve">puis des fleurs, & </s> <s xml:id="echoid-s387" xml:space="preserve">des oi-<lb/>gnons de tulipes, & </s> <s xml:id="echoid-s388" xml:space="preserve">des autres plan-<lb/>tes, & </s> <s xml:id="echoid-s389" xml:space="preserve">c. </s> <s xml:id="echoid-s390" xml:space="preserve">car il n’y a nul doute que l’on <lb/>peut découurit de grands ſecrets de la <lb/>nature par la ſpeculation de ſes ouura-<lb/>ges, comme a fait Paliſſy, lors qu’il a <lb/>trouué le moyen de rendre vne place <lb/>imprenable par le moyen de l’helice, <lb/>qui ſe remarque dãs les coquilles, dont <lb/>quelques-vns maintiennent que l’on <lb/>peut vſer pour ſçauoir quelle heure il <lb/>eſt par les differentes couleurs, ou lu-<lb/>mieres qu’elles font, à raiſon de leurs <lb/>differentes reflexions.</s> <s xml:id="echoid-s391" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s392" xml:space="preserve">L’on pourroit auſſi grandement pro-<lb/>fiter des differĕtes remarques que font <lb/>les Iardiniers, & </s> <s xml:id="echoid-s393" xml:space="preserve">les Floriſtes en culti-<lb/>uant les plantes, car ils obſeruent plu-<lb/>ſieurs choſes dans les oignons, & </s> <s xml:id="echoid-s394" xml:space="preserve">dans <lb/>les racines, qui peuuent aider à la Phy-<lb/>ſique. </s> <s xml:id="echoid-s395" xml:space="preserve">Et qui doute que la conduite <pb o="7" file="00026" n="25" rhead="& Mathematiques."/> de la durée & </s> <s xml:id="echoid-s396" xml:space="preserve">de la vie des plantes de-<lb/>puis leurs germes juſques a la maturité <lb/>de leurs graines ne puiſſe nous ſeruir de <lb/>conduite pour la noſtre, puiſque toute <lb/>la nature eſt ſi bien reglée, que les plus <lb/>ſçauans ſont contraints de confeſſer <lb/>que le moindre de ſes ouurages ſurpaſ-<lb/>ſe toute la ſageſſe, & </s> <s xml:id="echoid-s397" xml:space="preserve">la ſcience des hõ-<lb/>mes, & </s> <s xml:id="echoid-s398" xml:space="preserve">qu’il eſt tout à fait impoſſible <lb/>qu’elle les pouſſe, & </s> <s xml:id="echoid-s399" xml:space="preserve">les ameine au <lb/>point de perfectiõ, où nous les voyons, <lb/>qu’elle ne ſoit conduite & </s> <s xml:id="echoid-s400" xml:space="preserve">aydée par <lb/>vne ſouueraine intelligence, qui nous <lb/>oblige par des ſentimens interieurs à <lb/>l’adorer, & </s> <s xml:id="echoid-s401" xml:space="preserve">à l’aimer eternellement?</s> <s xml:id="echoid-s402" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div15" type="section" level="1" n="15"> <head xml:id="echoid-head25" xml:space="preserve"><emph style="sc">Qvestion</emph> II.</head> <head xml:id="echoid-head26" style="it" xml:space="preserve">D’où vient qu’il y a des bommes qui s’eſti-<lb/>ment ſi ſçauans, & que les autres qui <lb/>ſont plus ſçauans qu’eux s’eſti-<lb/>ment ſi ignorans?</head> <p> <s xml:id="echoid-s403" xml:space="preserve">L’On pourroit reſpondre que quel-<lb/>ques-vns font sĕblant de s’eſtimer <lb/>ſçauans, encore qu’ils cognoiſſent aſſez <lb/>qu’ils ne ſcauent rien, ou qu’ils ſcauent <pb o="8" file="00027" n="26" rhead="Queſtions Phyſiques,"/> fort pcu de choſes, parce qu’ils veulent<unsure/> <lb/>acquerir de la reputation, afin de par-<lb/>uenir au deſſein qu’ils ſe ſont formés, & </s> <s xml:id="echoid-s404" xml:space="preserve"><lb/>qu’ils ſe sõt propoſés, & </s> <s xml:id="echoid-s405" xml:space="preserve">de paroiſtre les <lb/>plus ſcauans dans les compagnies, où <lb/>ils ſe rencontrent, parce que voyant <lb/>qu’ils y ont quelquefois reüſſi, & </s> <s xml:id="echoid-s406" xml:space="preserve">n’a-<lb/>yant rencontré perſonne qui leur ait <lb/>peu, ou voulu reſiſter, ſoit par reſpect <lb/>& </s> <s xml:id="echoid-s407" xml:space="preserve">modeſtie, ou pour quelqu’autre rai-<lb/>ſon, ils veulent entretenir le monde <lb/>dans la bonne opinion que l’on a con-<lb/>ceuë de leur capacité. </s> <s xml:id="echoid-s408" xml:space="preserve">Mais l’autre ré-<lb/>ponce eſt, peut-eſtre plus veritable, <lb/>particulierenient à l’égard de ceux qui <lb/>ſe croyent treſ-ſçauans, & </s> <s xml:id="echoid-s409" xml:space="preserve">qui ſe ſont <lb/>perſuadez que cela eſt, & </s> <s xml:id="echoid-s410" xml:space="preserve">qu’en effect <lb/>ils peuuent inſtruire, & </s> <s xml:id="echoid-s411" xml:space="preserve">deſabuſer tout <lb/>le monde: </s> <s xml:id="echoid-s412" xml:space="preserve">or ceſte creance peut eſtre <lb/>fondée ſur ce qu’ils ont rencõtré quel-<lb/>que façon de raiſonner qui leur ſemble <lb/>extraordm<unsure/>aire, ſoit pour diſcourir des <lb/>difficultez de la Phyſique, ou des au-<lb/>tres ſciences, ou parce qu’ils ont ſpecu-<lb/>lé quelque verité particuliere, dont ils <lb/>ne trouuent nulle connoiſſance ail-<lb/>leurs.</s> <s xml:id="echoid-s413" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s414" xml:space="preserve">Mais quand ils rencontrent quel- <pb o="9" file="00028" n="27" rhead="& Matbematiques."/> qu’vn qui ne leur cede point pour la fa-<lb/>cilité du diſcours, & </s> <s xml:id="echoid-s415" xml:space="preserve">qui a autant, ou <lb/>plus de@apacité qu’eux<unsure/>, ils ſe peuuent <lb/>ayſément deſabuſer, & </s> <s xml:id="echoid-s416" xml:space="preserve">quitter toute <lb/>ſorte de preſomption, & </s> <s xml:id="echoid-s417" xml:space="preserve">de preoccu-<lb/>pation d’eſprit, quoy qu’il ne ſoit pas <lb/>neceſſaire d’eſtre remis dãs le bon che-<lb/>min, quand on a aſſez d’eſprit & </s> <s xml:id="echoid-s418" xml:space="preserve">de ju-<lb/>gement pour cognoiſtre, & </s> <s xml:id="echoid-s419" xml:space="preserve">pour con-<lb/>clure que l’on ne ſçait quaſi rien dans la <lb/>Phyſique, ſi l’on ſuit la definition de la <lb/>ſcience qu’ Ariſtote a donnée: </s> <s xml:id="echoid-s420" xml:space="preserve">car ſi el-<lb/>le doiteſtre des objects eternels & </s> <s xml:id="echoid-s421" xml:space="preserve">im-<lb/>muables, & </s> <s xml:id="echoid-s422" xml:space="preserve">que Dieu puiſſe changer <lb/>t<unsure/>out ce qui eſt dans la Phyſique, l’on <lb/>n’en peut faire vne ſcience.</s> <s xml:id="echoid-s423" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div16" type="section" level="1" n="16"> <head xml:id="echoid-head27" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s424" xml:space="preserve">Il faut icy remarquer que le plus <lb/>haut ſommet de la ſcience où les hom-<lb/>mes puiſſent arriuer, ſert à les humilier, <lb/>& </s> <s xml:id="echoid-s425" xml:space="preserve">à rabatre leur orgueil, d’autant qu’ils <lb/>voyent clairement qu’apres auoir eſtu-<lb/>dié l’eſpace de 60. </s> <s xml:id="echoid-s426" xml:space="preserve">ou 80. </s> <s xml:id="echoid-s427" xml:space="preserve">ans, qu’ils <lb/>ont ſeulement trauaillé à deſcouurir, <lb/>& </s> <s xml:id="echoid-s428" xml:space="preserve">à reconnoiſtre leur ignoiance. </s> <s xml:id="echoid-s429" xml:space="preserve">De là <lb/>vient que quelques-vns eſtiment que <pb o="10" file="00029" n="28" rhead="Queſtions Phyſiques,"/> l’extreme ſcience des hommes a le <lb/>meſme effet qu’vne extreme ignoran-<lb/>ce, & </s> <s xml:id="echoid-s430" xml:space="preserve">que toutes les extremitez ſe ren-<lb/>contrent au meſme but, comme le ſon <lb/>graue, & </s> <s xml:id="echoid-s431" xml:space="preserve">l’aigu de l’Octaue, ou du Dia-<lb/>paſon, qui ſont ſi ſemblables, qu’il eſt <lb/>difficile d’en remarquer la difference. <lb/></s> <s xml:id="echoid-s432" xml:space="preserve">D’où l’on pouroittirer pluſieurs autres <lb/>concluſions, queiereſerue pour vn au-<lb/>tre lieu. </s> <s xml:id="echoid-s433" xml:space="preserve">I’ajouſte ſeulement que cha-<lb/>cun peut faire la preuue de ce corollai-<lb/>re ſur ſoy meſme, lors qu’il conſidere-<lb/>ra qu’il ſ’imaginoit pouuoir donner la <lb/>raiſon de toutes choſes à la ſortie du <lb/>cours de Philoſophie, ou de Theolo-<lb/>gie, & </s> <s xml:id="echoid-s434" xml:space="preserve">qu’il ſera contraint d’auoüer 20. </s> <s xml:id="echoid-s435" xml:space="preserve"><lb/>ou 30. </s> <s xml:id="echoid-s436" xml:space="preserve">ans apres qu’il ne ſcait nulle rai-<lb/>ſon qui le contente, & </s> <s xml:id="echoid-s437" xml:space="preserve">qui luy ſoit ſi <lb/>euidente, & </s> <s xml:id="echoid-s438" xml:space="preserve">ſi certaine, qu’il n’en <lb/>puiſſe douter.</s> <s xml:id="echoid-s439" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s440" xml:space="preserve">C’eſt pourquoy il ne faut nullement <lb/>craindre que la plus grãde ſcience que <lb/>l’on puiſſe aquerir en ce monde rem-<lb/>pliſſe l’eſprit des ſçauans de vanité, ou <lb/>d’artogance, attendu qu’il y a plus de <lb/>danger qu’ils s’aillent cacher ſans oſer <lb/>paroiſtre, & </s> <s xml:id="echoid-s441" xml:space="preserve">qu’ils demeurent dans vn <lb/>perpetuel ſilence, auec vn deſeſpoic <pb o="11" file="00030" n="29" rhead="& Matbematiques."/> d’arriuer à quelque connoiſſance eui-<lb/>dente, & </s> <s xml:id="echoid-s442" xml:space="preserve">infaillible des ouurages de la <lb/>nature, ou de ce qui ſe fait<unsure/> dans eux-<lb/>meſmes, qu’il n’y en a qu’ils s’ĕorgueil-<lb/>liſſent de connoiſtre ſeulement qu’ils <lb/>ne ſçauent nulle choſe auec aſſcz d’eui-<lb/>dence, & </s> <s xml:id="echoid-s443" xml:space="preserve">de certitude pour en eſtablir <lb/>vne ſcience.</s> <s xml:id="echoid-s444" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s445" xml:space="preserve">Car l’on peut dire que nous voyons <lb/>ſeulement l’écorce, & </s> <s xml:id="echoid-s446" xml:space="preserve">la ſurface de la <lb/>nature, ſans pouuoir entrer dedans, & </s> <s xml:id="echoid-s447" xml:space="preserve"><lb/>que nous n’aurons jamais autre ſcience <lb/>que celle de ſes effects exterieurs, ſans <lb/>en pouuoir penetrer les raiſons, & </s> <s xml:id="echoid-s448" xml:space="preserve">ſans <lb/>ſçauoir la maniere dont elle agit, iuſ-<lb/>ques a ce qu’il plaiſe à Dieu de nous de-<lb/>liurer de cette miſere, & </s> <s xml:id="echoid-s449" xml:space="preserve">nous deſſiller <lb/>les yeux par la lumiere qu’il reſerue à <lb/>ſes vrays adorateurs.</s> <s xml:id="echoid-s450" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div17" type="section" level="1" n="17"> <head xml:id="echoid-head28" xml:space="preserve"><emph style="sc">Qvestion</emph> III.</head> <head xml:id="echoid-head29" style="it" xml:space="preserve">Eſt-il vray que l’Eſtain calciné, eſt plus <lb/>peſant apres auoir eſté calciné, que lors <lb/>qu’il eſt crud.</head> <p> <s xml:id="echoid-s451" xml:space="preserve">L’Experiĕce que pluſieurs’ publient <lb/>pour veritable, eſt aſſez eſtrange, <pb o="12" file="00031" n="30" rhead="Queſtions Phyſiques,"/> à ſçauoir que l’Eſtain calciné eſt plus <lb/>peſant que lors qu’il eſt crud, encore <lb/>que l’on n’adjouſte rien à ſa chaux, & </s> <s xml:id="echoid-s452" xml:space="preserve"><lb/>qu’en le calcinant il ſ’euapore grande <lb/>quantité de ſes parties en fumées & </s> <s xml:id="echoid-s453" xml:space="preserve"><lb/>vapeurs. </s> <s xml:id="echoid-s454" xml:space="preserve">Ce que le ſieur Brun excel-<lb/>lent Apoticaire de Bergerac, conſirme <lb/>par l’experience qu’il propoſe à Mon-<lb/>ſieur Rey Docteur en Medecine, pour <lb/>en ſçauoir la raiſon. </s> <s xml:id="echoid-s455" xml:space="preserve">Ledit Brun ayant <lb/>mis deux liures & </s> <s xml:id="echoid-s456" xml:space="preserve">6. </s> <s xml:id="echoid-s457" xml:space="preserve">onces du plus ſin <lb/>eſtain d’Anglcterre dansvn vaſe de fer, <lb/>accommodé à vn fourneau ouuert, & </s> <s xml:id="echoid-s458" xml:space="preserve"><lb/>l’ayant reduit dans ſix heures en vne <lb/>chaux treſ-blanche ſans y adjoûter au-<lb/>o<unsure/>une choſe, il en a trouué 2. </s> <s xml:id="echoid-s459" xml:space="preserve">liures 13. <lb/></s> <s xml:id="echoid-s460" xml:space="preserve">onces, ceſt à dire 7. </s> <s xml:id="echoid-s461" xml:space="preserve">onces dauantage: </s> <s xml:id="echoid-s462" xml:space="preserve"><lb/>quoy qu’apres auoir calciné 6. </s> <s xml:id="echoid-s463" xml:space="preserve">liures de <lb/>plõb, il ayt trouué 6. </s> <s xml:id="echoid-s464" xml:space="preserve">onces de dechet.</s> <s xml:id="echoid-s465" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s466" xml:space="preserve">Or il eſt raiſonnable queie die mon <lb/>jugement ſur cette difficulté, puiſque <lb/>l’vn & </s> <s xml:id="echoid-s467" xml:space="preserve">l’autre m’ont fait l’honneur de <lb/>m’écrire ſur ce que ie leur auois pro-<lb/>poſé ſur ce ſujet, & </s> <s xml:id="echoid-s468" xml:space="preserve">que le ſieur Rey <lb/>m’a donné ſon liure, dans lequel il eſ-<lb/>ſaye de prouuer qu’il n’y a nul corps dãs <lb/>la nature qui ne ſoit peſant: </s> <s xml:id="echoid-s469" xml:space="preserve">ce qu’il <lb/>monſtre par l’air, qui deſcend treſ-vite <pb o="13" file="00032" n="31" rhead="& Mathematiques."/> dans tous les puits, & </s> <s xml:id="echoid-s470" xml:space="preserve">les autres trous <lb/>que l’on fait en terre , de ſorte qu’il <lb/>conclud dans ſon 6. </s> <s xml:id="echoid-s471" xml:space="preserve">eſſay, que la terrc<unsure/> <lb/>c<unsure/>ſtant conuertie en eau, & </s> <s xml:id="echoid-s472" xml:space="preserve">l’eau en air, <lb/>l’air eſt auſſi peſant que la terre. </s> <s xml:id="echoid-s473" xml:space="preserve">Son <lb/>fondement conſiſte en ce que le ſeu du <lb/>fourneau faiſant euaporer les parties <lb/>les plus ſubtiles de l’air, ſes parties plus <lb/>groſſieres & </s> <s xml:id="echoid-s474" xml:space="preserve">plus peſantes deſcendent <lb/>dans le vaiſſeau de fer, & </s> <s xml:id="echoid-s475" xml:space="preserve">f’attachent <lb/>tellementà la chaux de l’eſtain, qu’el-<lb/>les la rendent plus peſante, commeil <lb/>arriue au ſable, qui deuient plus peſant <lb/>par l’humidité de l’eau quel’õ y adjoû-<lb/>te : </s> <s xml:id="echoid-s476" xml:space="preserve">de forte que fi l’on diſtilloit l’air <lb/>dans vn alarnbic en vn lieu plus leger <lb/>quela Sphere de l’air, l’on trouueroit <lb/>que celuy qui demeureroit aufond du <lb/>vaiſſeau ſeroit plus peſant que celuy <lb/>quel’on auroit diſtillé, & </s> <s xml:id="echoid-s477" xml:space="preserve">quiſeſeroit <lb/>exhalé.</s> <s xml:id="echoid-s478" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s479" xml:space="preserve">Ie croy queceux qui lirontſon liure <lb/>en receuront vn particulier contente-<lb/>ment, car il rapporte pluſieurs belles <lb/>remarques qui ſont veritables, & </s> <s xml:id="echoid-s480" xml:space="preserve">don-<lb/>ne de l’entrée á pluſieurs excellentes <lb/>difficultez dela Phyſique, & </s> <s xml:id="echoid-s481" xml:space="preserve">de la Me-<lb/>decine. </s> <s xml:id="echoid-s482" xml:space="preserve">Orauant que de conclure cet- <pb o="14" file="00033" n="32" rhead="Queſtions Phyſiques,"/> te queſtion, ie veuxaduertir quele Ca-<lb/>laë, dont il eſtparlédans le 27. </s> <s xml:id="echoid-s483" xml:space="preserve">eſſay <lb/>de ſonliure, eſt vne eſpece deregule, <lb/>que l’on apporte des Indes, & </s> <s xml:id="echoid-s484" xml:space="preserve">que l’on <lb/>appelle Sin, ou Speautre. </s> <s xml:id="echoid-s485" xml:space="preserve">Il reſſemble <lb/>quaſi à l’eſtain de glace, comme m’a <lb/>récrit le ſicur Brun : </s> <s xml:id="echoid-s486" xml:space="preserve">ſi quelques-vns <lb/>veulent voir la lettre que Monſieur <lb/>Rey m’a enuoyée pour l’éclairciſſemĕt <lb/>des difficultez que i’ay formées ſur ſes <lb/>eſſais, iela leur monſtreray treſ-libre-<lb/>ment.</s> <s xml:id="echoid-s487" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s488" xml:space="preserve">Quant à la ſolution de la difficulté, <lb/>l’on peut, ceſemble, reſpondre quela <lb/>chaux d’eſtain deuient plus peſante, <lb/>parce qu’elle attire vne grande quan-<lb/>tité de vapeurs, parmy leſquelles ſont <lb/>meſlées plufieurs petites partiesdeter-<lb/>re, qui augmentent ſon poids: </s> <s xml:id="echoid-s489" xml:space="preserve">quoy <lb/>qu’il ſoit difficile qu’elle en attire au-<lb/>tant, ou dauantage que ce qu’elleen <lb/>perd parla force du feu: </s> <s xml:id="echoid-s490" xml:space="preserve">ce quiarriue <lb/>ſemblablement, à ce quel’ondit, á la <lb/>chaux de l’antimoine, & </s> <s xml:id="echoid-s491" xml:space="preserve">à pluſieurs au-<lb/>tres metaux calcinez, car encore que <lb/>la chaux de plomb ſe ſoit trouuée plus <lb/>legere dans l’experience du ſieur Brun, <lb/>c<unsure/>lle ſ’eft trouuée plus peſante dansl’ex- <pb o="15" file="00034" n="33" rhead="& Mathematiques."/> perience des autres: </s> <s xml:id="echoid-s492" xml:space="preserve">& </s> <s xml:id="echoid-s493" xml:space="preserve">f’il arriue quo<unsure/> <lb/>quelque chaux ſe trouue beaucoup <lb/>plus legere, il en fautrapporter la cau-<lb/>ſe àla trop grande quantité de vapeurs <lb/>quiſont ſorties du corps calciné, com-<lb/>mel’on experimente dans les plantes, <lb/>& </s> <s xml:id="echoid-s494" xml:space="preserve">dans les animaux.</s> <s xml:id="echoid-s495" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s496" xml:space="preserve">Mais cette raiſon ne me ſatisfait pas, <lb/>c’eſt pourquoy ie prefere celle dudit<unsure/> <lb/>Rey à toutesles autres, quoy que l’on <lb/>puiſſe propoſer pluſieurs difficultez <lb/>contre elle, dontil en a reſolu vne bon-<lb/>ne partie.</s> <s xml:id="echoid-s497" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div18" type="section" level="1" n="18"> <head xml:id="echoid-head30" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s498" xml:space="preserve">Ie deſirerois quetousfe portaſſent à <lb/>ayder le public, & </s> <s xml:id="echoid-s499" xml:space="preserve">qu’ils obſeruaſſentla <lb/>grandeloy de la morale, qui conſiſte à <lb/>faire tout le biĕ à tous les hommes quo<unsure/> <lb/>l’on voudroit receuoir d’eux. </s> <s xml:id="echoid-s500" xml:space="preserve">C’eft à <lb/>quoy les Chymiſtes, & </s> <s xml:id="echoid-s501" xml:space="preserve">ceux qui tra-<lb/>uaillent ſur les metaux mãquentgran-<lb/>dement, car s’ils communiquoient mil-<lb/>legentilles obſeruations qu’ils rencon. <lb/></s> <s xml:id="echoid-s502" xml:space="preserve">trent en trauaillant, pluſieurs excel-<lb/>lents eſprits en pourroient tirer des lu-<lb/>mieres pour eſtablir quelque choſe de <pb o="16" file="00035" n="34" rhead="Queſtions Phyſiques,"/> certain dãs la Phyſique, ou d’vtile pour <lb/>la vie, & </s> <s xml:id="echoid-s503" xml:space="preserve">pour la ſocieté des hommes. <lb/></s> <s xml:id="echoid-s504" xml:space="preserve">N’eſt ce pas vne choſe cent fois plus <lb/>genereuſe & </s> <s xml:id="echoid-s505" xml:space="preserve">plus glorieuſe d’ayder <lb/>tous les morteis de ce que l’on peut, <lb/>quand on n’en reçoit nul dommage, <lb/>que deretenir la verité en injuſtice, & </s> <s xml:id="echoid-s506" xml:space="preserve"><lb/>d’empeſcher que la lumiere ne ſortiſſe <lb/>ſon eſſect, qui conſiſte à ſe communi-<lb/>quer, & </s> <s xml:id="echoid-s507" xml:space="preserve">à ſ’eſtendre à l’infiny, à l’imita-<lb/>tion, & </s> <s xml:id="echoid-s508" xml:space="preserve">par la participation de la viue <lb/>ſource de la lumiere eternelle, quinous <lb/>conuie par ſon exemple à fair<unsure/>etoutes <lb/>ſortes de plaiſirs à nos freres, c’eſt à di-<lb/>re à tous les hommes, qui tous ont Dieu <lb/>pour leur pere.</s> <s xml:id="echoid-s509" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div19" type="section" level="1" n="19"> <head xml:id="echoid-head31" xml:space="preserve"><emph style="sc">Qvestion</emph> IV.</head> <head xml:id="echoid-head32" style="it" xml:space="preserve">A ſçauoir ſi les corps peſans augmentent <lb/>touſiours leur viſteſſe quand ils deſcen-<lb/>dent vers le centre de la terre.</head> <p> <s xml:id="echoid-s510" xml:space="preserve">ILeft certain qu’vne boule de bois, <lb/>ou de plomb, ou de quelqu’autre <lb/>matiere aſſez peſante pour penetrer <lb/>l’air ſans varier d’vn coſté ny d’autre, <pb o="17" file="00036" n="35"/> <anchor type="figure" xlink:label="fig-00036-01a" xlink:href="fig-00036-01"/> augmente touſiours ſa viſteſſe <lb/>dans toutes les haulteurs, dont <lb/>nous la pouuons faire tomber: <lb/></s> <s xml:id="echoid-s511" xml:space="preserve">car la boule qui tombe de 12. </s> <s xml:id="echoid-s512" xml:space="preserve"><lb/>pieds de haut dans letemps d’v-<lb/>ne ſeconde minute, tombe de <lb/>48. </s> <s xml:id="echoid-s513" xml:space="preserve">pieds ou enuiron dans le <lb/>temps de 2. </s> <s xml:id="echoid-s514" xml:space="preserve">ſecondes, & </s> <s xml:id="echoid-s515" xml:space="preserve">ainſi <lb/>conſequemment, de ſorte que <lb/>les eſpaces que fait la boule en <lb/>diuers tĕps, ſontenraiſon dou-<lb/>blée deſdits temps, ou peu s’en <lb/>faut, comme i’ay monſtré dans <lb/>vn traité par<unsure/>ticulier. </s> <s xml:id="echoid-s516" xml:space="preserve">Mais il eſt <lb/>diſſicile, & </s> <s xml:id="echoid-s517" xml:space="preserve">peut-eſtre impoſſi-<lb/>ble de determiner le peu qui <lb/>s’en faut, & </s> <s xml:id="echoid-s518" xml:space="preserve">de ſçauoir en quel <lb/>lieu la boule commĕceà garder <lb/>vne autre proportion dans ſon mouue-<lb/>ment. </s> <s xml:id="echoid-s519" xml:space="preserve">Ie metsicy vne ligne diuiſée en <lb/>certaines parties, ſelon leſquelles il y a <lb/>grande apparéce quela boule deſcend: </s> <s xml:id="echoid-s520" xml:space="preserve"><lb/>de ſorte que ſielle fait la premiere par-<lb/>tie A B dans la premiere ſeconde, quel-<lb/>le fait la partie B C dansla ſeconde, & </s> <s xml:id="echoid-s521" xml:space="preserve"><lb/>C D dansla 3. </s> <s xml:id="echoid-s522" xml:space="preserve">& </s> <s xml:id="echoid-s523" xml:space="preserve">D E dans la 4. </s> <s xml:id="echoid-s524" xml:space="preserve">Les <lb/>Geometres trouueront ayſement l<unsure/>a <lb/>maniere de faire cette diuiſion, qui <pb o="18" file="00037" n="36" rhead="Queſtions Phyſiques,"/> doit touſiours garder vne meſme rai-<lb/>ſon.</s> <s xml:id="echoid-s525" xml:space="preserve"/> </p> <div xml:id="echoid-div19" type="float" level="2" n="1"> <figure xlink:label="fig-00036-01" xlink:href="fig-00036-01a"> <image file="00036-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00036-01"/> </figure> </div> <p> <s xml:id="echoid-s526" xml:space="preserve">Ie ſuppoſe ſeulementicy quela pre-<lb/>miere partie A B ayt 12. </s> <s xml:id="echoid-s527" xml:space="preserve">pieds de lon-<lb/>gueur, affin qu’ils determinent com-<lb/>biĕ B C & </s> <s xml:id="echoid-s528" xml:space="preserve">les autres parties en doiuent <lb/>auoir: </s> <s xml:id="echoid-s529" xml:space="preserve">car quant aux autres diffcultez <lb/>quiſe rencontrent dans ces cheutes, ie <lb/>les reſerue pour vn autre lieu. </s> <s xml:id="echoid-s530" xml:space="preserve">I’ad oûte<unsure/> <lb/>ſeulement que V endelin m’a fait pen-<lb/>ſer à cette proportion, dontie parleray <lb/>plus amplement dans vn autre traité.</s> <s xml:id="echoid-s531" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div21" type="section" level="1" n="20"> <head xml:id="echoid-head33" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s532" xml:space="preserve">Puiſquenous ne pouuons ſçauoir les <lb/>vrayes raiſons, ou la ſcience de ce qui <lb/>arriue dans la nature, parce qu’il y a <lb/>toufiours quelques circonſtáces, ou in-<lb/>ftances qui nous font douter files cau-<lb/>ſes que nous nousimaginons ſont veri-<lb/>tables, & </s> <s xml:id="echoid-s533" xml:space="preserve">s’iln’y en a point, ou s’il n’y en <lb/>peutauoir d’autres, ie ne voy pas que <lb/>l’on doiue requerirautre choſe des plus <lb/>fçauans que l<unsure/>eurs obſeruations, & </s> <s xml:id="echoid-s534" xml:space="preserve">les <lb/>remarques qu’ils auront faites des dif-<lb/>ferens effets, ou phenomenes de la na-<lb/>ture. </s> <s xml:id="echoid-s535" xml:space="preserve">Par exemple, puiſque l’on ne <pb o="19" file="00038" n="37" rhead="& Mathematiques."/> peut demonſtrer que la terre ſoit ſtable <lb/>& </s> <s xml:id="echoid-s536" xml:space="preserve">mobile, l’on doir<unsure/> ſe contenter de ſça-<lb/>uoir toutes les obſeruations que les <lb/>Aſtronomes ont faites au Ciel, & </s> <s xml:id="echoid-s537" xml:space="preserve">en <lb/>tout ce quiſemble auoir quelque ſorte <lb/>de mouuement reglé. </s> <s xml:id="echoid-s538" xml:space="preserve">Et pcut-cſtre <lb/>que cette ignorance des vrayes cauſes, <lb/>ou raiſons des choſes fera renti<unsure/>er plu-<lb/>ſicurs en eux-meſmes, pour conſiderer <lb/>les mouuements de le<unsure/>ura<unsure/>me, & </s> <s xml:id="echoid-s539" xml:space="preserve">tous <lb/>les reſſorts interieurs<unsure/> qui les fonn<unsure/>agir, <lb/>aſin que chacun éprouue ſila connoiſ-<lb/>ſance de ſoy-meſme eſt plus vtile, & </s> <s xml:id="echoid-s540" xml:space="preserve"><lb/>plus ayſée que celle des choſes exter-<lb/>nes. </s> <s xml:id="echoid-s541" xml:space="preserve">Ie m’aſſeure que l’on trouuera <lb/>quelquereſſort quifait mouuoirtoutes <lb/>lesfacultez, & </s> <s xml:id="echoid-s542" xml:space="preserve">les puiſſances du corps, <lb/>& </s> <s xml:id="echoid-s543" xml:space="preserve">de l’ame, d’où elles dependent, & </s> <s xml:id="echoid-s544" xml:space="preserve"><lb/>qui ne depend de nul autre: </s> <s xml:id="echoid-s545" xml:space="preserve">& </s> <s xml:id="echoid-s546" xml:space="preserve">qu’ils <lb/>confeſſeront hautement quel’oecono-<lb/>mie du corps humain, & </s> <s xml:id="echoid-s547" xml:space="preserve">de toutesles <lb/>facultez, & </s> <s xml:id="echoid-s548" xml:space="preserve">des operations de l’amere-<lb/>connoiſt vn ouurier treſ-ſage & </s> <s xml:id="echoid-s549" xml:space="preserve">treſ-<lb/>intelligent, qui opere toutes choſes en <lb/>nous, & </s> <s xml:id="echoid-s550" xml:space="preserve">en tout l’vniuers, & </s> <s xml:id="echoid-s551" xml:space="preserve">dont la <lb/>bonté, & </s> <s xml:id="echoid-s552" xml:space="preserve">la grandeur eſt infiniment <lb/>adorable. </s> <s xml:id="echoid-s553" xml:space="preserve">Ce font là les penſées qui <lb/>nous doiuér ſeruir de principal alimét, <pb o="20" file="00039" n="38" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s554" xml:space="preserve">qui occupant nos ſoins, & </s> <s xml:id="echoid-s555" xml:space="preserve">nos veil-<lb/>les, doiuent remplir noſtre eſprit, <lb/>afin del’vnir au Pere des eſprits, & </s> <s xml:id="echoid-s556" xml:space="preserve">de <lb/>commencer dés cette vic le<unsure/>s extaſes <lb/>eternelles dela beatitude, & </s> <s xml:id="echoid-s557" xml:space="preserve">lesrauiſ-<lb/>ſemés quinous metterót hors de nous-<lb/>meſmes, pour nous abyſiner dans l’Im-<lb/>menſité diuine.</s> <s xml:id="echoid-s558" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div22" type="section" level="1" n="21"> <head xml:id="echoid-head34" xml:space="preserve"><emph style="sc">Qvestion</emph> V</head> <head xml:id="echoid-head35" style="it" xml:space="preserve">Pourquoy la poudre de l’or, que l’on appelle <lb/>fulminant, fait elle vn ſigrandbruit, <lb/>quand elle ſent la chaleur?</head> <p> <s xml:id="echoid-s559" xml:space="preserve">ILeſt difficile de rencõtrer dans tou-<lb/>tela nature des effets plus eftranges <lb/>que ceux de l’or fulminant, car ſi toſt <lb/>qu’il eſt aſſlez échauffé, il ſe precipite <lb/>d’vne ſi grande impetuoſité, qu’il rópt <lb/>lefer, & </s> <s xml:id="echoid-s560" xml:space="preserve">tous les autres metaux que <lb/>l’on met deſſouz, & </s> <s xml:id="echoid-s561" xml:space="preserve">fait vn bruit ſiſec, <lb/>& </s> <s xml:id="echoid-s562" xml:space="preserve">ſiéc<unsure/>latant, qu’il eſt beaucoup plus <lb/>diſſicile de le ſouffrir que celuy d’vn pi-<lb/>ſtolet, ou d’vn canon.</s> <s xml:id="echoid-s563" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s564" xml:space="preserve">Oril faut premierement remarquer <lb/>que cet or n’eſtautre choſe qu’vne pou- <pb o="21" file="00040" n="39" rhead="& Mathematiques."/> dre deſſeichée quel’on tire dete@@e pie-<lb/>ce d’or que l’on veut: </s> <s xml:id="echoid-s565" xml:space="preserve">parexemple, d’v-<lb/>ne piſtole, ou d’vn écu: </s> <s xml:id="echoid-s566" xml:space="preserve">ce que l’on fait <lb/>ayſément en mettant premierement <lb/>l’or dans de l’eauregale, dans laquellc<unsure/> <lb/>il ſe diſſoutayſément, & </s> <s xml:id="echoid-s567" xml:space="preserve">puis l’on verfe <lb/>del’huile de Tartre dedans pour le ſe-<lb/>parer d’auec ladite eau. </s> <s xml:id="echoid-s568" xml:space="preserve">Et puis l’on <lb/>y verſe de l’eau toute pure, afin dele fai-<lb/>re precipiter apres qu’il a jetté toutes <lb/>ſes fumees, ſonfeu, & </s> <s xml:id="echoid-s569" xml:space="preserve">ſafurie; </s> <s xml:id="echoid-s570" xml:space="preserve">& </s> <s xml:id="echoid-s571" xml:space="preserve">fina-<lb/>lement l’on verſe cette eau parinclina-<lb/>tion, afin de prendre la poudre qui ſe <lb/>trouue aufond, & </s> <s xml:id="echoid-s572" xml:space="preserve">que l’on fait ſeicher <lb/>au feu, ou au ſoleil; </s> <s xml:id="echoid-s573" xml:space="preserve">ce qui eſt ſi ayſé, <lb/>que l’on peut faire cette poudre dans <lb/>vne demie heure, ſans vier de feu, com-<lb/>me j’ay experimenté.</s> <s xml:id="echoid-s574" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s575" xml:space="preserve">En 2. </s> <s xml:id="echoid-s576" xml:space="preserve">lieu, il fautremarquer quecet-<lb/>te poudre vatouſiours en bas, & </s> <s xml:id="echoid-s577" xml:space="preserve">pouſ-<lb/>ſe ou rompt les cueilliers, & </s> <s xml:id="echoid-s578" xml:space="preserve">les autres <lb/>corps ſur leſquels on la met, auſſi-toſt <lb/>qu’elle eft aſſez échauffée:</s> <s xml:id="echoid-s579" xml:space="preserve">& </s> <s xml:id="echoid-s580" xml:space="preserve">lors qu’el-<lb/>le prend feu, elle luy donne, ceſemble, <lb/>vne couleur bluaſtre, & </s> <s xml:id="echoid-s581" xml:space="preserve">féleue vn peu; <lb/></s> <s xml:id="echoid-s582" xml:space="preserve">mais quand elle rencontre vn corps ſi <lb/>fort, & </s> <s xml:id="echoid-s583" xml:space="preserve">fi dur qu’elle ne peutle rompre, <lb/>il eſt difficile de ſçauoir où elle va, par- <pb o="22" file="00041" n="40" rhead="Queſtions Phyſiques,"/> ceque l’on n’en trouue point de veſti-<lb/>ge: </s> <s xml:id="echoid-s584" xml:space="preserve">quoy que l’on puiffe tellement l’en-<lb/>fermer entre 4. </s> <s xml:id="echoid-s585" xml:space="preserve">cartons, que l’on re<unsure/>-<lb/>marquera ayſémen<unsure/>t de quel coſté elle <lb/>va, lors qu’elle ne pe<unsure/>utromprele corps <lb/>ſur lequel elle<unsure/> s’enflamme.</s> <s xml:id="echoid-s586" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s587" xml:space="preserve">En 3. </s> <s xml:id="echoid-s588" xml:space="preserve">heu, jay experimenté quele<unsure/> <lb/>feu de la poudreà canon, quel’on meſ-<lb/>le parmy, n’eſt pas ſuffiſant pour l’en-<lb/>flammer;</s> <s xml:id="echoid-s589" xml:space="preserve">& </s> <s xml:id="echoid-s590" xml:space="preserve">quele plus grand Soleil de <lb/>l’Eſté ne la fait pas partir, encore que <lb/>pluſieurs tiennent que la ſeule chaleur <lb/>du corps la puiſſe enflammer, quand on <lb/>la porte dans la poc<unsure/>he, c’eſt pourquoy <lb/>h<unsure/>l faut prendre garde que l’on ne l’é-<lb/>chauffe trop en la faiſant ſeicher. </s> <s xml:id="echoid-s591" xml:space="preserve">Or il <lb/>eſt probable quele ſalpeſtre, qui s’eſt <lb/>attaché à cette poudre d’or, eſt cauſe <lb/>dece qu’elle prendle feu, & </s> <s xml:id="echoid-s592" xml:space="preserve">qu’elle va <lb/>en bas à raiſon de ſa<unsure/> peſanteur, quine <lb/>peut eſtre enleuée par les eſprits du ſal-<lb/>peſtre.</s> <s xml:id="echoid-s593" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s594" xml:space="preserve">Quant au bruit qu’elle fait, on peut <lb/>la comparer à celuy du tonnerre, ou <lb/>pluſtoſt à celuy d’vnfoüet, carl’vn & </s> <s xml:id="echoid-s595" xml:space="preserve"><lb/>l’autre e<unsure/>ſt treſ ſec, & </s> <s xml:id="echoid-s596" xml:space="preserve">penetrát, & </s> <s xml:id="echoid-s597" xml:space="preserve">ſe fait <lb/>par la dureté de la colliſion, ou du bat-<lb/>temĕt del’air, qui teſmoigne la grande <pb o="23" file="00042" n="41" rhead="& Mathematiques."/> violence qu’il endure par l’;</s> <s xml:id="echoid-s598" xml:space="preserve">éclat qu’il <lb/>fait. </s> <s xml:id="echoid-s599" xml:space="preserve">Mais le bruit de la poudre à canon <lb/>eſt plus muet, & </s> <s xml:id="echoid-s600" xml:space="preserve">plus ſourd, à raiſon <lb/>qu’elle eſt beaucoup plus molle, & </s> <s xml:id="echoid-s601" xml:space="preserve">plus <lb/>groſſiere que la poudre d’or, dont cha-<lb/>que grain eſt fort dur, encore qu’elle <lb/>ſoit quaſi impalpable.</s> <s xml:id="echoid-s602" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div23" type="section" level="1" n="22"> <head xml:id="echoid-head36" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s603" xml:space="preserve">Sil’on auoit tellement ſpeculé tou-<lb/>tes ſortes de ſons, & </s> <s xml:id="echoid-s604" xml:space="preserve">de bruits, que l’on <lb/>peuſt juger de toutes les ſortes, & </s> <s xml:id="echoid-s605" xml:space="preserve">les <lb/>qualitez, ou proprietez des mouuemĕ<unsure/>s <lb/>enles oyant, & </s> <s xml:id="echoid-s606" xml:space="preserve">que l’on í<unsure/>ceût tous lë<unsure/>s <lb/>effets qu’ils peuuent produire, l’on en-<lb/>richiroit grandement la Phyſique; </s> <s xml:id="echoid-s607" xml:space="preserve">& </s> <s xml:id="echoid-s608" xml:space="preserve"><lb/>peut-eſtie que la beauté, l’excellence, <lb/>l’vtilité & </s> <s xml:id="echoid-s609" xml:space="preserve">l’eſtenduë des ſons ne cede-<lb/>roient pas à la lumiere, laquelle n’a pas <lb/>ſeruy ſi immediatement à noſtre ſalut, <lb/>queleſon, quinous a fait conceuoir la <lb/>reuelation Diuine, & </s> <s xml:id="echoid-s610" xml:space="preserve">nous a fait em-<lb/>braſſer la vraye Religion. </s> <s xml:id="echoid-s611" xml:space="preserve">Mais ie trai-<lb/>te ailleurs de tout ce que l’on peut con-<lb/>noiſtre par le moyen du ſon, de ſorte <lb/>qu’il ſuffit maintenant de conſiderer <lb/>que les ſons, quoy que paſſagers, ne<unsure/> <pb o="24" file="00043" n="42" rhead="Queſtions Phyſiques,"/> ſontpas ſi peu de choſe, qu’ils ne contri-<lb/>buent grandement à la gloire de Dieu, <lb/>& </s> <s xml:id="echoid-s612" xml:space="preserve">à noſtre ſalut, comme l’on experi-<lb/>mente aux Cantiques de loüange, que <lb/>nous luy offrons tous les jours.</s> <s xml:id="echoid-s613" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div24" type="section" level="1" n="23"> <head xml:id="echoid-head37" xml:space="preserve"><emph style="sc">Qvestion</emph> VI. <lb/>Comment les metaux peuuent-ils s’engen-<lb/>drer dans la terre, puis que le Soleilne <lb/>penetre pas ſi auant?</head> <p> <s xml:id="echoid-s614" xml:space="preserve">L’Experience fait voir que la terre <lb/>eſt touſiours froide, lors qu’on l’ou-<lb/>ure, & </s> <s xml:id="echoid-s615" xml:space="preserve">qu’on la creuſe de 6. </s> <s xml:id="echoid-s616" xml:space="preserve">ou 7. </s> <s xml:id="echoid-s617" xml:space="preserve">pieds, <lb/>quelque chaleur qui puiſſe faire, ce qui <lb/>monſtre, ce ſemble, que le Solcil n’en-<lb/>gendre pas les metaux dans les entrail-<lb/>les de la terre: </s> <s xml:id="echoid-s618" xml:space="preserve">& </s> <s xml:id="echoid-s619" xml:space="preserve">ce qui témoigne qu’el-<lb/>le a quelque chaleur particuliere, qui <lb/>luy eſt auſſi naturelle, comme celle de <lb/>l’eſtomach aux animaux, & </s> <s xml:id="echoid-s620" xml:space="preserve">comme la <lb/>lumiere au Soleil. </s> <s xml:id="echoid-s621" xml:space="preserve">Ce qui a fait con-<lb/>clure à Bernard Paliſſy, que la matiere <lb/>des pierres, & </s> <s xml:id="echoid-s622" xml:space="preserve">des metaux, n’eſt autre <lb/>choſe que le ſel del’eau, dans laquelle <lb/>il eſt tellement meſlé, que l’on ne peut <pb o="25" file="00044" n="43" rhead="& Mathematiques."/> l’apperceuoir que par ſes effets, c’eſt à <lb/>dire, par les pierres, les marcaſites, & </s> <s xml:id="echoid-s623" xml:space="preserve"><lb/>les mer<unsure/>aux, qu’il engendre premiere-<lb/>ment tous blancs de couleur de ſel, qui <lb/>attire toutes les parties terreſtres qui <lb/>luy ſont propres, & </s> <s xml:id="echoid-s624" xml:space="preserve">puis chaque corps <lb/>prend differentes couleurs, ſuiuant les <lb/>differents degrez de congelation, & </s> <s xml:id="echoid-s625" xml:space="preserve"><lb/>les differens ſels, qui coagulent & </s> <s xml:id="echoid-s626" xml:space="preserve">arre-<lb/>ſtent les matieres qu’ils rencontrent.</s> <s xml:id="echoid-s627" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s628" xml:space="preserve">Or cette eau congelatiue, qui eſt meſ-<lb/>lée, & </s> <s xml:id="echoid-s629" xml:space="preserve">confule auec l’eau commune, <lb/>qui ſ’exhale, peut eſtre appellée cin-<lb/>quieſme element, & </s> <s xml:id="echoid-s630" xml:space="preserve">contient en emi-<lb/>nĕceles couleurs, les ſaueurs, les odeurs, <lb/>la dureté, & </s> <s xml:id="echoid-s631" xml:space="preserve">toutes les autres qualitez <lb/>des corps qu’elle engendre. </s> <s xml:id="echoid-s632" xml:space="preserve">Où l’on <lb/>peut remarquer que la ſemĕce de cha-<lb/>que choſe, ou la u<unsure/>ge quelle jette eſt <lb/>blanche à ſon commencement, & </s> <s xml:id="echoid-s633" xml:space="preserve"><lb/>que le ſel eſt cauſe de toutes les gene-<lb/>rations, car ſi l’on oſtoit le ſel des me-<lb/>taux, des pierres<unsure/>, des plantes, ou des <lb/>animaux, ils s’en iroient tous en pou-<lb/>dre : </s> <s xml:id="echoid-s634" xml:space="preserve">c’eſt luy qui donne la dureté, & </s> <s xml:id="echoid-s635" xml:space="preserve">la <lb/>ſolidité aux os, & </s> <s xml:id="echoid-s636" xml:space="preserve">aux pierres, & </s> <s xml:id="echoid-s637" xml:space="preserve">qui <lb/>ſemble eſtre le ſouſtien de toutes les <lb/>choſes corporelles. </s> <s xml:id="echoid-s638" xml:space="preserve">Mais ily a autant <pb o="26" file="00045" n="44" rhead="Queſtions Phyſiques,"/> de differentes ſortes de ſels que de cou-<lb/>leurs, & </s> <s xml:id="echoid-s639" xml:space="preserve">d’odeurs: </s> <s xml:id="echoid-s640" xml:space="preserve">par exemple, la cou-<lb/>peroſe eſt vn ſel diſtinct du ſel nitre, du <lb/>vitriol, de l’alun, du borrax, du ſublimé, <lb/>du ſucre, du ſalpeftre, du ſel gemme, <lb/>du ſalicor, du tartre, du ſel armoniac, <lb/>& </s> <s xml:id="echoid-s641" xml:space="preserve">de tous les autres ſels, qui empeſ-<lb/>chent la corruption des corps où ils ſe <lb/>rencontrent, qui blanchiſſent le linge <lb/>dãs les leſſiues, qui tannent & </s> <s xml:id="echoid-s642" xml:space="preserve">endurciſ-<lb/>ſent le cuir des taneurs, par l’entremi-<lb/>ſe de l’écorce de cheſne, laquelle a vne <lb/>grande quantité de ſel, qui ſe commu-<lb/>nique au cuir: </s> <s xml:id="echoid-s643" xml:space="preserve">car les écorces des arbres <lb/>en contiennent quaſi tout le ſel. </s> <s xml:id="echoid-s644" xml:space="preserve">Or ie <lb/>ne m’eſtendray pas dauantage ſur ce <lb/>ſujet, afin qu’on liſe les excellens diſ-<lb/>cours qu’en a fait ledit Paliſſy, qui ex-<lb/>plique auſſi la maniere dont on fait le <lb/>ſel commun dans les marais & </s> <s xml:id="echoid-s645" xml:space="preserve">dans les <lb/>ſalines de Xaintonge. </s> <s xml:id="echoid-s646" xml:space="preserve">Ceux qui pren-<lb/>dront la peine de le lire, croyront ayſé-<lb/>ment que les coquilles, les herbes, les <lb/>animaux, &</s> <s xml:id="echoid-s647" xml:space="preserve">c. </s> <s xml:id="echoid-s648" xml:space="preserve">ſe peuuent petrifier, & </s> <s xml:id="echoid-s649" xml:space="preserve"><lb/>ſe reduire en metal, par le moyen de <lb/>ladite eau congelatiue. </s> <s xml:id="echoid-s650" xml:space="preserve">Mais il eſt dif-<lb/>ficile de ſçauoir d’où vient la differen-<lb/>ce des ſels, & </s> <s xml:id="echoid-s651" xml:space="preserve">ſ’ils ſont tous homogenes <pb o="27" file="00046" n="45" rhead="& Mathematiques."/> au commencement, de ſorte qu’ils ne <lb/>reçoiuent point d’autre differĕce, que <lb/>des differens accidens qu’ils rencon-<lb/>trent, ou ſi Dieu les a faits de differen-<lb/>tc<unsure/>s eſpeces dés le commencement du <lb/>monde.</s> <s xml:id="echoid-s652" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div25" type="section" level="1" n="24"> <head xml:id="echoid-head38" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s653" xml:space="preserve">Sil’on ſe donne le loiſir de conſide-<lb/>rer que pluſieurs eſpeces de bois, & </s> <s xml:id="echoid-s654" xml:space="preserve"><lb/>meſme que les corps des hommes ſe <lb/>peuuent petrifier, il faudra aduoüer <lb/>que l’eau tant de pluye, que de riuiere, <lb/>de fontaine, &</s> <s xml:id="echoid-s655" xml:space="preserve">c. </s> <s xml:id="echoid-s656" xml:space="preserve">ou que l’air joint aux <lb/>vapeurs, & </s> <s xml:id="echoid-s657" xml:space="preserve">aux exhalaiſons ont la ver-<lb/>tu, & </s> <s xml:id="echoid-s658" xml:space="preserve">la puiſſance de cõuertir les corps <lb/>qui en ſont touchez, en pierre, & </s> <s xml:id="echoid-s659" xml:space="preserve">con-<lb/>ſequemment de les rendre beaucoup <lb/>plus peſans qu’ils n’eſtoient. </s> <s xml:id="echoid-s660" xml:space="preserve">Or il eſt <lb/>treſ-difficile de fçauoir d’où vient cet-<lb/>te plus grande peſantcur, ſi ce n’eſt que <lb/>l’õ die que l’eau, ou l’air vaporeux rem-<lb/>plit les pores des bois, & </s> <s xml:id="echoid-s661" xml:space="preserve">des autres <lb/>choſcs qui ſe petriſient; </s> <s xml:id="echoid-s662" xml:space="preserve">& </s> <s xml:id="echoid-s663" xml:space="preserve">par conſe-<lb/>quent qu’il les rend plus denſes qu’ils <lb/>n’eſtoient, puiſque nous ne reconnoiſ-<lb/>ſons nulle autre cauſe de la plus grande <pb o="28" file="00047" n="46" rhead="Queſtions Phyſiques,"/> peſanteur des corps, que leur plus grã-<lb/>de denſité: </s> <s xml:id="echoid-s664" xml:space="preserve">de ſorte que ſi l’on preſſe <lb/>tellement la laine, ou l’éponge, qu’elles <lb/>ayent autant de parties en meſme vo-<lb/>lume que l’or, elles ſeront auſſi pefan-<lb/>tes que l’or.</s> <s xml:id="echoid-s665" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s666" xml:space="preserve">Co qui peut faire penſer à ceux qui <lb/>portent toutes choſes au bien, c’eſt à <lb/>dire à la gloire, & </s> <s xml:id="echoid-s667" xml:space="preserve">à l’amour de Dieu, <lb/>qui ſont les ſouuerains biens de l’hom-<lb/>me, que ſiles actions morales peuuent <lb/>eſtre renduës meilleures, & </s> <s xml:id="echoid-s668" xml:space="preserve">plus meri-<lb/>toires par quelque ſorte de condenſa-<lb/>tion, & </s> <s xml:id="echoid-s669" xml:space="preserve">qu’elles tirent leur bonté, & </s> <s xml:id="echoid-s670" xml:space="preserve"><lb/>leur poids, des differentes fins, & </s> <s xml:id="echoid-s671" xml:space="preserve">inten-<lb/>tions, qu’elles ſeront d’autant plus effi-<lb/>caces, qu’elles ſeront faites auec vne <lb/>plus grande multitude de bõnes inten-<lb/>tions; </s> <s xml:id="echoid-s672" xml:space="preserve">par exemple, auec intention de <lb/>plaire à Dieu, & </s> <s xml:id="echoid-s673" xml:space="preserve">de ſe conformer à fa <lb/>faincte volonté, auec intention de faire <lb/>plaiſir au prochain, & </s> <s xml:id="echoid-s674" xml:space="preserve">de ſe perfe ction-<lb/>ner en la vertu, &</s> <s xml:id="echoid-s675" xml:space="preserve">c. </s> <s xml:id="echoid-s676" xml:space="preserve">Mais la grace di-<lb/>uine eſt celle qui opere le plus, & </s> <s xml:id="echoid-s677" xml:space="preserve">qui <lb/>donne le poids, & </s> <s xml:id="echoid-s678" xml:space="preserve">la vertu à chaque <lb/>action, de ſorte qu’elle peut eſtre com-<lb/>parée à l’eau congelatiue, qui affermit, <lb/>& </s> <s xml:id="echoid-s679" xml:space="preserve">appeſantit les corps ſans leur faire <pb o="29" file="00048" n="47" rhead="& Mathematiques."/> perdre leur figure, comme la grace an-<lb/>noblit nos actions ſans changer leur <lb/>apparence exterieure.</s> <s xml:id="echoid-s680" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div26" type="section" level="1" n="25"> <head xml:id="echoid-head39" xml:space="preserve"><emph style="sc">Qvestion</emph> VII. <lb/>Quelle eſt la plus grande portée des arque-<lb/>buſes, & de l’artillerie, & en quelle <lb/>proportion les boulets diminuent-<lb/>ils leur force, & leur viſteſſe?</head> <p> <s xml:id="echoid-s681" xml:space="preserve">ENtre pluſieurs proprietez qu’a l’an-<lb/>gle de 45. </s> <s xml:id="echoid-s682" xml:space="preserve">degrez, l’on peut dire <lb/>qu’il dõne la plus grande portée à tou-<lb/>tes ſortes d’armes à feu, à bales, & </s> <s xml:id="echoid-s683" xml:space="preserve">à fle-<lb/>ches, parce qu’il conduit tellement les <lb/>bales, qu’elles ſont au milieu du plan <lb/>horizontal & </s> <s xml:id="echoid-s684" xml:space="preserve">du vertical. </s> <s xml:id="echoid-s685" xml:space="preserve">Mais il eſt <lb/>difficile de ſçauoir en quelle propor-<lb/>tion leur viſteſſe ſe diminuë; </s> <s xml:id="echoid-s686" xml:space="preserve">quoy que<unsure/> <lb/>ſi le mouuement violent eſt oppoſé au <lb/>naturel, l’on puiſſe dire que cette dimi-<lb/>nution eſt en raiſon doublée des eſpa-<lb/>ces que font les boulets, & </s> <s xml:id="echoid-s687" xml:space="preserve">les autres <lb/>miſſiles, puiſque la viſteffe des corps <lb/>peſans, qui vont au centre, ſ’augmen-<lb/>te, ce ſemble, en raiſon doublée des <pb o="30" file="00049" n="48" rhead="Queſtions Phyſiques,"/> eſpaces, par leſquels ils deſcendent, <lb/>comme j’ay remarqué dans vn traité <lb/>particulier. </s> <s xml:id="echoid-s688" xml:space="preserve">Il y a encore pluſieurs au-<lb/>tres grandes difficultez, dont ie reſer-<lb/>ue la ſolution pour vn autre lieu: </s> <s xml:id="echoid-s689" xml:space="preserve">par <lb/>exemple, à fçauoir quelle ligne fait le <lb/>boulet en finiſſant ſon vol, ou ſa cour-<lb/>ſe; </s> <s xml:id="echoid-s690" xml:space="preserve">& </s> <s xml:id="echoid-s691" xml:space="preserve">ſi la courbeure de ſon arc eſt hy-<lb/>perbolique, ou parabolique, comme <lb/>croyent quelques-vns, ou ſi elle eſt <lb/>d’vne eſpece differente de toutes les <lb/>autres lignes courbées, & </s> <s xml:id="echoid-s692" xml:space="preserve">ſi elle tient <lb/>dauantage de la ligne droicte, que de <lb/>la circulaire: </s> <s xml:id="echoid-s693" xml:space="preserve">ce que l’on pourroit de-<lb/>terminer ſi l’on ſçauoit en qu’elle pro-<lb/>portion le mouuement naturel du bou-<lb/>let ſ’augmente, & </s> <s xml:id="echoid-s694" xml:space="preserve">en qu’elle propor-<lb/>tion ſe diminuë ſon mouuement vio-<lb/>lent. </s> <s xml:id="echoid-s695" xml:space="preserve">Ie laiſſe pluſieurs autres difficul-<lb/>tez qui appartiennent aux effets diffe-<lb/>rens des boulets, ſelon les differentes <lb/>inclinations, ou incidences, dont ils <lb/>frappent les murailles, parce qu’elles <lb/>meritent des diſcours entiers.</s> <s xml:id="echoid-s696" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div27" type="section" level="1" n="26"> <head xml:id="echoid-head40" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s697" xml:space="preserve">Il y a pluſieurs choſes à conſiderer <lb/>dans les portées des canons, des mouf- <pb o="31" file="00050" n="49" rhead="& Mathematiques."/> quets, & </s> <s xml:id="echoid-s698" xml:space="preserve">des autres in ſtrumens, qui <lb/>ſeruent à l<unsure/>etter des bales, des pierres, <lb/>ou d’autres chofes: </s> <s xml:id="echoid-s699" xml:space="preserve">par exemple, qu’ils <lb/>font plus de fauſſée de loin que de pres, <lb/>car le boulet de canon a plus d’effet à 3. <lb/></s> <s xml:id="echoid-s700" xml:space="preserve">ou 4. </s> <s xml:id="echoid-s701" xml:space="preserve">cens pas, qu’à 50 ou centpas: </s> <s xml:id="echoid-s702" xml:space="preserve">& </s> <s xml:id="echoid-s703" xml:space="preserve"><lb/>puis quelle difference il y a entre tou-<lb/>tes les fauſſees que fait le boulet à tou-<lb/>tes fortes de diftances depuis la bouche <lb/>du canon, j<unsure/>uſques à ce qu’il ceſſe de ſe <lb/>mouuoir. </s> <s xml:id="echoid-s704" xml:space="preserve">Qu<unsure/>and les canons commen-<lb/>cent à eſtre ſi longs qu’ils diminuent <lb/>leur portée qu’ils auoient eſtant de 16. </s> <s xml:id="echoid-s705" xml:space="preserve"><lb/>ou 18 pieds. </s> <s xml:id="echoid-s706" xml:space="preserve">Si leur recul a autant de <lb/>force en arriere que leurs boulets en <lb/>deuant: </s> <s xml:id="echoid-s707" xml:space="preserve">ſi eſtant tirez perpendiculai-<lb/>rement en haut, ils ont vne auſſi gran-<lb/>de portée, que lors qu’on les tire à 45. </s> <s xml:id="echoid-s708" xml:space="preserve"><lb/>degrez, ou à quel degréil les faut tirer, <lb/>pour auoir vne portée qui ſoit égale à la <lb/>perpendiculaire: </s> <s xml:id="echoid-s709" xml:space="preserve">ſi eſtant tirez en bas <lb/>perpendiculairemĕt, leur mouuement <lb/>de violence dure dauantage, & </s> <s xml:id="echoid-s710" xml:space="preserve">les por-<lb/>te plus loin qu’eſtant tirez en haut, ou <lb/>à tel degré que l’on voudra. </s> <s xml:id="echoid-s711" xml:space="preserve">Il y a en-<lb/>core pluſieurs autres experiences à fai-<lb/>re, dõt les Canoniers pourroient gran-<lb/>dement ayder à ceux qui eſſayent d’é- <pb o="32" file="00051" n="50" rhead="Queſtions Phyſiques,"/> tablir quelque choſe dereglé, & </s> <s xml:id="echoid-s712" xml:space="preserve">de cer-<lb/>tain dans la Phyſique.</s> <s xml:id="echoid-s713" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div28" type="section" level="1" n="27"> <head xml:id="echoid-head41" xml:space="preserve"><emph style="sc">Qvestion</emph> VIII. <lb/>Quelle eſt la ligne de direction qui ſert <lb/>aux Mechaniques?</head> <p> <s xml:id="echoid-s714" xml:space="preserve">CEtte ligne paſſe par le centre du <lb/>monde, & </s> <s xml:id="echoid-s715" xml:space="preserve">par celuy de la peſan-<lb/>teur de chaque choſe; </s> <s xml:id="echoid-s716" xml:space="preserve">& </s> <s xml:id="echoid-s717" xml:space="preserve">l’on ſuppoſe <lb/>qu’elle ſoit tirée, ou eſtenduë vers<unsure/> le <lb/>Zenith d’vn coſté, & </s> <s xml:id="echoid-s718" xml:space="preserve">de l’autre vers le <lb/>Nadir iuſques à l’inſiny. </s> <s xml:id="echoid-s719" xml:space="preserve">Or elle eſt ap-<lb/>pellée ligne de direction, parce que tout <lb/>ce qui peſe, & </s> <s xml:id="echoid-s720" xml:space="preserve">ce qui tombe la ſuit, ou <lb/>s’at<unsure/>reſte ſur l’vn de ſes points: </s> <s xml:id="echoid-s721" xml:space="preserve">c’eſt <lb/>pourquoy elle paſſe entre nos pieds, & </s> <s xml:id="echoid-s722" xml:space="preserve"><lb/>par le milieu du centre de peſanteur de <lb/>nos corps, quand nous ſommes debout, <lb/>autrement nous tomberions, comme <lb/>il arriue à ceux qui danl<unsure/>ans ſur la cor-<lb/>de, n’vſent pas bien de leur contrepoix, <lb/>& </s> <s xml:id="echoid-s723" xml:space="preserve">ſont contraints de tomber, s’ils ne re-<lb/>compenſent la perte de la ligne de di-<lb/>rection par la violence & </s> <s xml:id="echoid-s724" xml:space="preserve">l’impetuoſité <lb/>du mouuement de leurs corps, car la <pb o="33" file="00052" n="51" rhead="& Mathema tiques."/> pierre, que l’impetuoſité ſouſtient en <lb/>l’air, apprend que l’on peut tellement <lb/>voltiger, que la ligne de direction ne <lb/>ſera pas neceſſaire. </s> <s xml:id="echoid-s725" xml:space="preserve">Il faut doncremar-<lb/>quer l’vtilité de cette ligne, qui con-<lb/>traint les j<unsure/>ambes, & </s> <s xml:id="echoid-s726" xml:space="preserve">la poictrine à faire <lb/>vn angle aigu auec les cuiſſes, lors que <lb/>l’on ſe leue, afin que les pieds, & </s> <s xml:id="echoid-s727" xml:space="preserve">le cen-<lb/>tre de peſanteur de tout le corps ſe ren-<lb/>contrent dans la ligne de direction: <lb/></s> <s xml:id="echoid-s728" xml:space="preserve">ſurquoy l’on peut voir la 30. </s> <s xml:id="echoid-s729" xml:space="preserve">queſtion <lb/>des Mechaniques d’Ariſtote, dans la-<lb/>quelle il tient que l’angle droit eſt cau-<lb/>ſe du repos, à raiſon de l’égalité, cõme <lb/>l’on experimĕte aux balances, quifont <lb/>cetto<unsure/> angle auec leurs bras, quand elles <lb/>ſont en équilibre. </s> <s xml:id="echoid-s730" xml:space="preserve">D’où il ſ’enſuit que <lb/>l’angle aigu, ou l’obtus eſt cauſe du <lb/>mouuement, parce qu’il eſt le princi-<lb/>pe de l’inegalité.</s> <s xml:id="echoid-s731" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s732" xml:space="preserve">Les vieillards qui pãchent trop ſur le <lb/>deuant, ſe ſeruent de baſtons, pour ap-<lb/>puyer le centre de leur peſanteur; </s> <s xml:id="echoid-s733" xml:space="preserve">& </s> <s xml:id="echoid-s734" xml:space="preserve"><lb/>nous auançons l’vn des pieds en deuãt, <lb/>ou nous le retirons en derriere, lors que <lb/>nous nous baiſſons pour ramaſſer ce <lb/>qui eſt tombé, afin d’appuyer le meſme <lb/>centre. </s> <s xml:id="echoid-s735" xml:space="preserve">Ie laiſſe pluſieurs autres obſer- <pb o="34" file="00053" n="52" rhead="Queſtions Phyſiques,"/> uations: </s> <s xml:id="echoid-s736" xml:space="preserve">par exemple, que l’on peut fai-<lb/>re des tours qui panchent vers la terre <lb/>ſemblables à celles de Piſe, & </s> <s xml:id="echoid-s737" xml:space="preserve">de Bolo-<lb/>gne, pourueu que les centres de leurs <lb/>peſanteurs ſe rencontrent dans la per-<lb/>pendiculaire, qui diuiſe la tour en 2. <lb/></s> <s xml:id="echoid-s738" xml:space="preserve">parties équiponderantes.</s> <s xml:id="echoid-s739" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s740" xml:space="preserve">D’où il eſt ayſé de conclure que le <lb/>point, dont les corps ſont ſuſpendus, ſe <lb/>rencontre touſiours dans la li<unsure/>gne de dï-<lb/>rection. </s> <s xml:id="echoid-s741" xml:space="preserve">Mais il faut remarquer que <lb/>cette ligne a 3. </s> <s xml:id="echoid-s742" xml:space="preserve">ſortes de points, à ſça-<lb/>uoir le ſuperieur, l’inferieur, & </s> <s xml:id="echoid-s743" xml:space="preserve">celuy <lb/>du milieu, qui concurre auec le centre <lb/>de peſanteur: </s> <s xml:id="echoid-s744" xml:space="preserve">& </s> <s xml:id="echoid-s745" xml:space="preserve">que chaque corps peut <lb/>eſtre ſuſpendu par l’vn de ces 3. </s> <s xml:id="echoid-s746" xml:space="preserve">points, <lb/>que l’on appelle pour ceſujet, points de <lb/>retĕtion, & </s> <s xml:id="echoid-s747" xml:space="preserve">de ſuſpenſion, autour deſquels <lb/>le corps ſe peut mouuoir. </s> <s xml:id="echoid-s748" xml:space="preserve">L’on peut en-<lb/>core les nommer centres de violence, <lb/>ou du mouuement violent, lors qu’on <lb/>leue vn corps peſant, ou qu’on le jette <lb/>en haut, ou en bas, car la pierre jettée <lb/>en bas eſt porrée par ces 2. </s> <s xml:id="echoid-s749" xml:space="preserve">centres, ou <lb/>par vn meſme centr<unsure/>e, lequel eſt dou-<lb/>ble en puiſſance. </s> <s xml:id="echoid-s750" xml:space="preserve">L’on peut auſſi met-<lb/>tre vn centre de legereté dans les corps <lb/>legers, mais ils ne ſont pas dans la puiſ- <pb o="35" file="00054" n="53" rhead="& Mathematiques."/> ſance de noſtre Mechanique, comme <lb/>eſt celuy de peſanteur.</s> <s xml:id="echoid-s751" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div29" type="section" level="1" n="28"> <head xml:id="echoid-head42" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s752" xml:space="preserve">Ceux qui ſe plaignent de l’aridité <lb/>des ſc<unsure/>iences, & </s> <s xml:id="echoid-s753" xml:space="preserve">particuh<unsure/>erement des <lb/>Mathematiques, à raiſon qu ils ne cro-<lb/>yent pas que l’on en puiſſe tirer aucu<unsure/>n <lb/>fruit pour la vie ſpirituelle, & </s> <s xml:id="echoid-s754" xml:space="preserve">pour la <lb/>morali<unsure/>té, ont, ce me ſemble grãd tor@: <lb/></s> <s xml:id="echoid-s755" xml:space="preserve">car ils condamnent ce qu’ils ne ſçauent <lb/>pas; </s> <s xml:id="echoid-s756" xml:space="preserve">attendu qu’il n’y a point d’hom-<lb/>mes d’eſprit, qui<unsure/>ne pui<unsure/>ſſent conſiderer <lb/>qu’il n’y a nul meille<unsure/>ur moyen de par-<lb/>uenir à Dieu, qu’en imitant la che<unsure/>uto<unsure/> <lb/>des corps peſans, dont le centre de pe-<lb/>ſanteur ne ſortiamais de la ligne de di-<lb/>rection, qui les conduit tout droit au <lb/>centre de l’vniuers; </s> <s xml:id="echoid-s757" xml:space="preserve">or le cœur, ou la <lb/>volonté de l’homme, qui eſt cõme ſon <lb/>centre de peſanteur, ſuiuant le beau <lb/>mot de S. </s> <s xml:id="echoid-s758" xml:space="preserve">Auguſtin, amor meus, pondus <lb/>meum, fera le meſme chemin vers Dieu, <lb/>ſinos affections qui donnent le branſle <lb/>à la volonté, ſe tiennent touſiours vnies <lb/>à la Loy de Dieu, qui eſt la vraye ligne <lb/>de direction de toutes nos actions: </s> <s xml:id="echoid-s759" xml:space="preserve">de <pb o="36" file="00055" n="54" rhead="Queſtions Phyſiques,"/> ſorte qu’il faut ſeulement ſe maintenir <lb/>dans cette ligne pour arriuer au centre <lb/>de noſtre repos, auquel nous ſommes <lb/>pouſſez par toutes ſortes de conſidera. <lb/></s> <s xml:id="echoid-s760" xml:space="preserve">tions, comme le centre de grauité d’v-<lb/>ne pierre eſt pouſſé v@@ le centre de la <lb/>terre, par toutes les parties qui l’ĕuiron-<lb/>nent. </s> <s xml:id="echoid-s761" xml:space="preserve">Mais ſi l’on met quelque empeſ-<lb/>chement dans ladite ligne: </s> <s xml:id="echoid-s762" xml:space="preserve">par exem-<lb/>ple, ſi l’on met vne épingle, ou vne ai-<lb/>guille dedans, qui tienne ferme, il eſt <lb/>impoſſible que la pierre deſcende, en-<lb/>core qu’elle ſoit auſſi peſante que toute <lb/>la terre, comme il eſt impoſſible que <lb/>nous arriuions à Dieu, ſi nous ſubſti-<lb/>tuons quelque empeſchement à ſa loy, <lb/>& </s> <s xml:id="echoid-s763" xml:space="preserve">à ſa ſainte volonté, qui ſeule eſt la <lb/>ſouueraine regle de toutes nos vo-<lb/>lontez.</s> <s xml:id="echoid-s764" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s765" xml:space="preserve">Ie laiſſe mille excellentes conſidera-<lb/>tions, que l’on peut de duire de cette <lb/>queſtion, & </s> <s xml:id="echoid-s766" xml:space="preserve">de celle qui ſuit, dans la-<lb/>quelle ie n’ay pas voulu mettre des fi-<lb/>gures, quoy qu’elle en ayt beſoin, de <lb/>peur d’épouuanter ceux qui les hayſ-<lb/>ſent, & </s> <s xml:id="echoid-s767" xml:space="preserve">qui ſ’imaginent qu’elles ne ſer-<lb/>ue<unsure/>nt que de croix à l’e ſprit: </s> <s xml:id="echoid-s768" xml:space="preserve">cncore que <lb/>les experts ſçachent treſ-bien qu’elles <pb o="37" file="00056" n="55" rhead="& Mathematiques."/> apportent de grandes lumieres aux <lb/>diſcours.</s> <s xml:id="echoid-s769" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div30" type="section" level="1" n="29"> <head xml:id="echoid-head43" xml:space="preserve"><emph style="sc">Qvestion</emph> IX.</head> <head xml:id="echoid-head44" style="it" xml:space="preserve">Peut-on donner laraiſon. de tout ce qui arrt-<lb/>ue à la Romaine, & aux balances?</head> <p> <s xml:id="echoid-s770" xml:space="preserve">CEux qui ſçauent la ſcience des <lb/>Mechaniques, demonſtrent que<unsure/> <lb/>les poids, qui ſont mis dans les balan-<lb/>ces, ou qui ſont ſuſpendus par quel-<lb/>qu’autre inſtrument ſemblable, ont <lb/>meſme raiſon entr’eux que les diſtan-<lb/>ces, leſquelles conſequemment. </s> <s xml:id="echoid-s771" xml:space="preserve">ont <lb/>meſme raiſon entr’elles que les poids; <lb/></s> <s xml:id="echoid-s772" xml:space="preserve">ce qu’ils preuuent par le cercle, parce <lb/>que les cercles qui ſont décrits par les. </s> <s xml:id="echoid-s773" xml:space="preserve"><lb/>branches de la balance, ſont d’autant <lb/>plus grands, que les points auſquels on <lb/>ſuſpend les poids, ſont plus éloignez <lb/>du point fixe de la balance: </s> <s xml:id="echoid-s774" xml:space="preserve">d’où il arri-<lb/>ue, qu’ils font d’autant plus de chemin <lb/>en quittant la ligne hori<unsure/>zontale de l’é-<lb/>quilibre pour arriuer à la perpendicu-<lb/>laire.</s> <s xml:id="echoid-s775" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s776" xml:space="preserve">Il faut donc conclure que les poids <pb o="38" file="00057" n="56" rhead="Queſtions Phyſiques,"/> peuuent eſtre rendus plus peſans en les <lb/>éloi<unsure/>gnant dudit point de la balance, <lb/>& </s> <s xml:id="echoid-s777" xml:space="preserve">pius legers en les en approchãt: </s> <s xml:id="echoid-s778" xml:space="preserve">que <lb/>la capacité, & </s> <s xml:id="echoid-s779" xml:space="preserve">la puiſſance qu’ils ont à <lb/>faire plus de chemin, ou à deſcendre <lb/>plus viſte, eſt cauſe de leur plus grande <lb/>peſanteur: </s> <s xml:id="echoid-s780" xml:space="preserve">que tous les inſtrumens de <lb/>la Mechanique, dont parle Ariſtote dãs <lb/>ſes Queſtion@ & </s> <s xml:id="echoid-s781" xml:space="preserve">Balde, Blancan, Mo-<lb/>nantolius, & </s> <s xml:id="echoid-s782" xml:space="preserve">Gueuare dansleurs Com-<lb/>mentaires, ti<unsure/>rent leur force de ces rai-<lb/>fons, commeil eſt ayſé de prouuer par <lb/>l’explication de la figure, & </s> <s xml:id="echoid-s783" xml:space="preserve">de la force <lb/>des Grues, des Cheures, des Mouffles, <lb/>des Tenai<unsure/>lles, des Ciſeaux, des<unsure/> Rames, <lb/>des Maſts de Nauire, des Preſſes, & </s> <s xml:id="echoid-s784" xml:space="preserve"><lb/>des Preſſoirs, des Leuiers, des Roües, <lb/>des Poulies, & </s> <s xml:id="echoid-s785" xml:space="preserve">de tous les auttes inſtru-<lb/>mens que l’on ſe peut imaginer.</s> <s xml:id="echoid-s786" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s787" xml:space="preserve">Il ſuffit de remarquer icy ce qu’en-<lb/>ſeigne, & </s> <s xml:id="echoid-s788" xml:space="preserve">demõſtre Guid-Vbalde dans <lb/>le traité qu’il a fait du Leuier, à ſçauoir, <lb/>que la force qui ſouſtient le poids atta-<lb/>ché au leuier, à meſme raiſon auec le <lb/>poids, qu’a la partie du leuier qui eſt <lb/>entre l’appuy, & </s> <s xml:id="echoid-s789" xml:space="preserve">le poids, auec la partie <lb/>du leuier qui eſt entre l’appuy, & </s> <s xml:id="echoid-s790" xml:space="preserve">la for-<lb/>ce. </s> <s xml:id="echoid-s791" xml:space="preserve">D’où il arriue prcmierement que la <pb o="39" file="00058" n="57" rhead="& Mathematiques."/> force qui leue, ou qui ſouſtiĕt le poids, <lb/>eſt dautant moindre que l’appuy s’ap-<lb/>proche dauantage du poids: </s> <s xml:id="echoid-s792" xml:space="preserve">de ſorte <lb/>que l’eſpace de la force eſt à l’eſpace du <lb/>poids, comme la diſtance de l’appuy à <lb/>la force, eſt à la diſtance de l’appuy au <lb/>poids ſuſpendu; </s> <s xml:id="echoid-s793" xml:space="preserve">ſecondement que la <lb/>force, qui ſouſtient le poids, a meſme <lb/>proportion auec luy, qu’a la diſtance <lb/>de l’appuy, juſques au point, auquelle <lb/>Jeuier eſt coupé par vne ligne, qui deſ-<lb/>cend perpendiculairement du centre <lb/>de la peſanteur du poids ſur l’Orizon, <lb/>auec la diſtance de l’appuy, & </s> <s xml:id="echoid-s794" xml:space="preserve">de la <lb/>force.</s> <s xml:id="echoid-s795" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s796" xml:space="preserve">De plus, il demonſtre dans la 8. </s> <s xml:id="echoid-s797" xml:space="preserve">pro-<lb/>poſition, que quand la force ſouſtient <lb/>vn poids, dont le centre de peſanteur <lb/>eſt ſur le leuier parallele à l’Orizon, que <lb/>cette force eſt dautant moi<unsure/>ndre que le <lb/>poids eſt leué plus haut par le leuier, & </s> <s xml:id="echoid-s798" xml:space="preserve"><lb/>qu’elle eſt d’autant plus grande, que le <lb/>poids eſt dauantage abaiſſe. </s> <s xml:id="echoid-s799" xml:space="preserve">La neu-<lb/>fieſme fait voir, que cette force qui ſou-<lb/>ſtient le poids abaiſiĕ ſouz le leuier é-<lb/>quidiſtant à l’Orizon, doit eſtre aug-<lb/>mentée en meſme proportion que l’on <lb/>éleuera le poids ſur l’Orizon, & </s> <s xml:id="echoid-s800" xml:space="preserve">qu’elle <pb o="40" file="00059" n="58" rhead="Queſtions Phyſiques,"/> doit eſtre di<unsure/>minuée à meſme propor-<lb/>tion qu’on l’abaiſſera ſouz l’Orizon.</s> <s xml:id="echoid-s801" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s802" xml:space="preserve">Finalement la 10. </s> <s xml:id="echoid-s803" xml:space="preserve">propoſition enſei-<lb/>gne, que le poids eſt touſiours égal, & </s> <s xml:id="echoid-s804" xml:space="preserve"><lb/>qu’i<unsure/>l faut touſiours vne meſme forc’e <lb/>pour le leuer, & </s> <s xml:id="echoid-s805" xml:space="preserve">pour le ſouſtenir en <lb/>haut, ou en bas, ou à niueau, quand il a <lb/>ſon centre de peſanteur dans le leuier, <lb/>ſoit que le poids ſe rencontre entre la <lb/>force, & </s> <s xml:id="echoid-s806" xml:space="preserve">l’appuy, ou que la force ſe ren-<lb/>contre enti<unsure/>e l’appuy, & </s> <s xml:id="echoid-s807" xml:space="preserve">le poids, ou que <lb/>l’appuy ſoit entre le poids, & </s> <s xml:id="echoid-s808" xml:space="preserve">la force: <lb/></s> <s xml:id="echoid-s809" xml:space="preserve">d’où il conclud, qu’il n’y a nul poids ſi <lb/>lourd, ny ſi grand, que l’on ne puifſe<unsure/> <lb/>donner vne force capable de l’enleuer <lb/>& </s> <s xml:id="echoid-s810" xml:space="preserve">de le ſouſtenir par le moyĕ du leui er.</s> <s xml:id="echoid-s811" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div31" type="section" level="1" n="30"> <head xml:id="echoid-head45" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s812" xml:space="preserve">Entre pluſieurs choſes qui ſont treſ-<lb/>conſiderables dans la Me<unsure/>chanique, i’en <lb/>remarque vne merueilleuſc, qui ſevoid <lb/>au contre poids de la Romaine, que <lb/>l’on appelle Crochet, carce cõtre-poids <lb/>a vne infinité de peſanteurs auſſi diffe-<lb/>rentes, que les differentes diſtances qui <lb/>ſont entre luy, & </s> <s xml:id="echoid-s813" xml:space="preserve">le point fixe, parle<unsure/>-<lb/>quel on ſuſpend ladite Romaine: </s> <s xml:id="echoid-s814" xml:space="preserve">par <pb o="41" file="00060" n="59" rhead="& Mathematiques."/> exemple, ſi le contre-poids ne peſe<unsure/> <lb/>qu’v@e<unsure/> liure à vn poulce dudit point, il <lb/>peſ@ra cent mille liures à cent mille <lb/>poulces: </s> <s xml:id="echoid-s815" xml:space="preserve">de ſorte que ce point empeſ-<lb/>che d’autant plus ſa peſanteur qu’il ſen <lb/>approche d’auantage, ſoit parce que le<unsure/> <lb/>contre-poids en eſt d’autant plus con-<lb/>traint, & </s> <s xml:id="echoid-s816" xml:space="preserve">plus empeſché de deſcendre <lb/>perpendiculairement, cõme l’on prou-<lb/>ue par les angles que font les cercles <lb/>auec la ligne de directiõ, ou pour quel-<lb/>qu’autre raiſon que l’on ne ſçait pas.</s> <s xml:id="echoid-s817" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s818" xml:space="preserve">Quoy qu’il en ſoit, c<unsure/>ette obſeruation <lb/>nous peut faire ſouuenir, que le propre <lb/>poids de nos mauuaiſes in clinations eſt <lb/>dautant plus grand que nous nous éloi-<lb/>gnons dauãtage de la volonté de Dieu, <lb/>qui eſt le point fixe, lequel no<emph style="sub">9</emph> dépoüil-<lb/>le d’autant plus de cette peſanteur qui <lb/>nous pouſſe á noſtre ruïne, que nous en <lb/>approchons dauantage par vn amour <lb/>reſpectueux qui nous rend ſi prompts <lb/>à l’obſeruance des Commandemens <lb/>diuins, que nous ne ſentons nulle pe-<lb/>ſanteur, parce que le contre-poids de <lb/>nos affections déreglées eſt ſouſtenu <lb/>par la crainte que nous auõs d’offenſer <lb/>la Souueraine bonté, & </s> <s xml:id="echoid-s819" xml:space="preserve">par l’aſſiſtance<unsure/> <pb o="42" file="00061" n="60" rhead="Queſtions Phyſiques,"/> que nous donne celuy qui a prononcé <lb/>ces paroles, Iugum meum ſuaue eſt, & </s> <s xml:id="echoid-s820" xml:space="preserve"><lb/>onus meum leue.</s> <s xml:id="echoid-s821" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div32" type="section" level="1" n="31"> <head xml:id="echoid-head46" xml:space="preserve"><emph style="sc">Qvestion</emph> X.</head> <head xml:id="echoid-head47" style="it" xml:space="preserve">D’où vient que les Romans, & les autres li-<lb/>ures quine traittent pas des ſciences, ſont <lb/>mieux vendus, que les liures qui parlent <lb/>des ſciences, & qui demonſtrent pluſieurs <lb/>choſes vtiles, & nouuelles?</head> <p> <s xml:id="echoid-s822" xml:space="preserve">IL n’y a nulle apparence que la raiſon <lb/>de ce Phenomene ſe doiue tirer de <lb/>ce que la plus grande partie des hom-<lb/>mes negligent les liures ſçauans, parce <lb/>qu’ils ſont trop pleins de curioſitez, <lb/>puis qu’il n’y a rien qui les charme ſi <lb/>puiſſamment, que d’apprĕdre des cho-<lb/>ſes curieuſes, & </s> <s xml:id="echoid-s823" xml:space="preserve">nouuelles, comme l’on <lb/>experimente en tous ceux qui ſe pl<unsure/>ai-<lb/>ſent à entendre ce qui arriue de nou-<lb/>ueau, ſoit dans leur païs, ou ailleurs. <lb/></s> <s xml:id="echoid-s824" xml:space="preserve">Maisil ſemble que les Romans ſe ven-<lb/>dent mieux, parce que tout le monde <lb/>eſt capable de les lire, & </s> <s xml:id="echoid-s825" xml:space="preserve">que l’on n’y <lb/>rencontre pas ordinairement des’diffi- <pb o="43" file="00062" n="61" rhead="& Mathematiques."/> cultez abſtruſes, qui deſirent de gran-<lb/>des ſpeculations, commeil <gap/>riue dans <lb/>les liures, qui traitent des<gap/>ences, & </s> <s xml:id="echoid-s826" xml:space="preserve"><lb/>qui ſemblent tousremplis @épines aux <lb/>ignorans Lesfemmes, & </s> <s xml:id="echoid-s827" xml:space="preserve">les enfans ſe <lb/>plaiſent à l’hiſtoire fabuleuſe, ou veri-<lb/>table, parce qu’elle n’a beſoin que de la <lb/>memoire, & </s> <s xml:id="echoid-s828" xml:space="preserve">de l’imagination, au lieu <lb/>que les ſo<unsure/>iĕces requierent vn iugement <lb/>ſolide, & </s> <s xml:id="echoid-s829" xml:space="preserve">vne pointe d’eſprit, qui pene-<lb/>tre toutce qu’il y a de plus ſubtil, & </s> <s xml:id="echoid-s830" xml:space="preserve">de <lb/>plus difficile dans la nature.</s> <s xml:id="echoid-s831" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s832" xml:space="preserve">Or puis qu’ilſe rencontre vn moin-<lb/>dre nombre de bons eſprits, & </s> <s xml:id="echoid-s833" xml:space="preserve">d’hom-<lb/>mes ſçauans, il eſt euident que les liures <lb/>qui leur plaiſent, & </s> <s xml:id="echoid-s834" xml:space="preserve">qui répondent à <lb/>leur capacité, doiuent eſtre en moindre <lb/>nombre queles Romans, & </s> <s xml:id="echoid-s835" xml:space="preserve">les hiſtoi-<lb/>res, ou les aut<unsure/>res liures qui traittent <lb/>d’vneſemblable matiere Si l’õſçauoit <lb/>le nombre des ſçauans, & </s> <s xml:id="echoid-s836" xml:space="preserve">designorans, <lb/>& </s> <s xml:id="echoid-s837" xml:space="preserve">de ceux qui prennent plus de con-<lb/>tentement aux recherches curieuſes <lb/>des ſciences, qu’aux diſcours du vul-<lb/>gaire, les Libraires ſçauroient combien <lb/>ils doiuent tirer de copies de la Preſſe <lb/>pourles vns, & </s> <s xml:id="echoid-s838" xml:space="preserve">pourles autres.</s> <s xml:id="echoid-s839" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s840" xml:space="preserve">A quoy l’on peut adjouſter que l’ex- <pb o="44" file="00063" n="62" rhead="Queſtions Phyſiques,"/> cellence du ſtile des Romans eſt cauſo <lb/>qu’ils ſe vendent mieux, au lieu que le <lb/>ſtile des liures qui traittent des ſcien-<lb/>ces, eſt le plus ſouuent aſſez rude, & </s> <s xml:id="echoid-s841" xml:space="preserve"><lb/>qu’il eſt remply de pluſieurs termes, <lb/>qui ne ſont entendus que de ceux qui <lb/>onteſt<unsure/>udié.</s> <s xml:id="echoid-s842" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s843" xml:space="preserve">D’ailleurs ils traitent pour l’ordinaire<unsure/> <lb/>de la morale, & </s> <s xml:id="echoid-s844" xml:space="preserve">meſlent des intriques, <lb/>& </s> <s xml:id="echoid-s845" xml:space="preserve">des rencontres, qui excitent, & </s> <s xml:id="echoid-s846" xml:space="preserve">eſ-<lb/>branlent les paſſions des lecteurs, leſ-<lb/>quelles ſont ordinairement plus puiſ-<lb/>ſantes dans les ignorans, que dans les <lb/>ſçauans qui en ont eſteint vne partie<unsure/> <lb/>par la frequente contemplation qu’ils <lb/>font des ſouuerains principes. </s> <s xml:id="echoid-s847" xml:space="preserve">Ortous <lb/>ſont capables des ſentimens, & </s> <s xml:id="echoid-s848" xml:space="preserve">desre-<lb/>glemens de la Morale, tant parce que<unsure/> <lb/>l’on nous contr<unsure/>aint perpetuellement <lb/>de les pratiquer, que parce que nous <lb/>en ſentons les ſemences dãs nous meſ-<lb/>mes, ſans qu’il ſoit neceſſaire de les <lb/>prendre, ou de les receuoir d’ailleurs; <lb/></s> <s xml:id="echoid-s849" xml:space="preserve">& </s> <s xml:id="echoid-s850" xml:space="preserve">conſequemment tous ſont capables <lb/>de lire les Romans, qui ſont pleins de <lb/>moralitez.</s> <s xml:id="echoid-s851" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s852" xml:space="preserve">Finalement, tous confeſſent que l’a-<lb/>mour eſt la plus puiſſante de nos paſ- <pb o="45" file="00064" n="63" rhead="& Mathematiques."/> ſions, & </s> <s xml:id="echoid-s853" xml:space="preserve">qu’elle en eſt le commence-<lb/>ment, & </s> <s xml:id="echoid-s854" xml:space="preserve">la fin; </s> <s xml:id="echoid-s855" xml:space="preserve">& </s> <s xml:id="echoid-s856" xml:space="preserve">meſme l’on peut di-<lb/>re que toutes les autres paſſions ne ſont <lb/>que l’amour reueſtu de differĕtes cou-<lb/>leurs ; </s> <s xml:id="echoid-s857" xml:space="preserve">or les Romans ſont pleins de <lb/>deſcriptions de l’amour, & </s> <s xml:id="echoid-s858" xml:space="preserve">n’ont point, <lb/>ce ſemble, d’autre but, ny d’autre fin, <lb/>que de faire ay mer, & </s> <s xml:id="echoid-s859" xml:space="preserve">d’embraſer leurs <lb/>lecteurs de cette paſſion: </s> <s xml:id="echoid-s860" xml:space="preserve">c’eſt pour-<lb/>quoy il ne faut nullement s’eſtonner de <lb/>ce qu’ils ſe vendent mieux que les li-<lb/>ures des ſciences: </s> <s xml:id="echoid-s861" xml:space="preserve">au contraire, il fau-<lb/>droit s’eſtonner s’ils ne ſe vĕdoient pas <lb/>mieux: </s> <s xml:id="echoid-s862" xml:space="preserve">quoy que ſi l’on compare la <lb/>ſcience à l’amour, & </s> <s xml:id="echoid-s863" xml:space="preserve">les ſouueraines <lb/>actions de l’entendement auec celles <lb/>de l’appetit, ou de la volonté, celles-là <lb/>ſoient, peut-eſtre, preferables à celles-<lb/>cy; </s> <s xml:id="echoid-s864" xml:space="preserve">mais cette difficulté doit eſtre re-<lb/>ſeruée pour vn autre lieu.</s> <s xml:id="echoid-s865" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div33" type="section" level="1" n="32"> <head xml:id="echoid-head48" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s866" xml:space="preserve">Sitous les hommes vſoient parfaicte-<lb/>ment de la droite raiſon que Dieu leur <lb/>a donnée, il n’y auroit plus de guerres, <lb/>ny de querelles, ou de diſſentions au <lb/>monde, car tous auroient meſmes ſen-<lb/>timens, & </s> <s xml:id="echoid-s867" xml:space="preserve">nul n’auroit iamais plus de <pb o="46" file="00065" n="64" rhead="Queſtions Phyſiques,"/> contentement, apres les deuoirs qu’il <lb/>doit à la diuine Ma eſté, que de faire <lb/>toutes ſortes de plaiſirs à vn chacun: </s> <s xml:id="echoid-s868" xml:space="preserve">de <lb/>ſorte que celuy qui auroit beſoin d’ar-<lb/>gent, de liures, de veſtemens, ou de <lb/>quelques autres commoditez, en trou-<lb/>ueroit touſiours dix fois d’auantage <lb/>qu’il n’en deſireroit, parce que tous ſes <lb/>voiſins, & </s> <s xml:id="echoid-s869" xml:space="preserve">ſes amis luy porteroient à <lb/>l’ĕnuy tout ce qu’ils croyr<unsure/>oiĕt luy eſtre <lb/>neceſſaire, vtile, ou agreable. </s> <s xml:id="echoid-s870" xml:space="preserve">D’où il <lb/>arriueroit que tous auroient vn ſujet <lb/>treſ-grand, & </s> <s xml:id="echoid-s871" xml:space="preserve">continuel d’éleuer les <lb/>mains au Ciel, & </s> <s xml:id="echoid-s872" xml:space="preserve">de remercier la Bonté <lb/>diuine de tant de graces, ou pluſtoſt de <lb/>la ſupplier de retrancher vne partie de <lb/>tant de conſolations. </s> <s xml:id="echoid-s873" xml:space="preserve">Or s’il ſe rencon-<lb/>tre quelqu’vn qui trouue du defaut <lb/>dans cet heureux genre de vie, il eſt ay-<lb/>ſé de ſatisfaire à toutes les objections <lb/>qu’il pourra faire, & </s> <s xml:id="echoid-s874" xml:space="preserve">à toutes les diffi-<lb/>cultés qu’il propoſera, & </s> <s xml:id="echoid-s875" xml:space="preserve">de luy demon-<lb/>ſtrer qu’il ne contient autre choſe que <lb/>l’explication de la grande loy de la Mo-<lb/>rale, qui conſiſte a nous comporter en-<lb/>ners tous les hommes, comme nous <lb/>voudrions qu’ils ſe comportaſſent en <lb/>noſtre endroit.</s> <s xml:id="echoid-s876" xml:space="preserve"/> </p> <pb o="47" file="00066" n="65" rhead="& Mathematiques."/> </div> <div xml:id="echoid-div34" type="section" level="1" n="33"> <head xml:id="echoid-head49" xml:space="preserve"><emph style="sc">Qvestion</emph> XI.</head> <head xml:id="echoid-head50" style="it" xml:space="preserve">Pourquoy les gens de lettre, c’eſt à dire <lb/>les hommes ſçauans, ne paruienuent-ils <lb/>pas pour l’ordinaire à de ſi grandes for-<lb/>tunes, que c<unsure/>eux qui ſont vaillans, ou<unsure/> qui <lb/>ont quelqu’autre addreſſe.</head> <p> <s xml:id="echoid-s877" xml:space="preserve">PLuſieurs s’eſtonnent de ce que les <lb/>ſçauans n’ont pas couſtume de par-<lb/>uen<unsure/>ir aux grãdes dignitez, atendu qu’il <lb/>sĕble, qu’ils doiuent eſtre les plus adui-<lb/>ſez &</s> <s xml:id="echoid-s878" xml:space="preserve">les plus ſages, à raiſon de la grãde <lb/>lumiere qu’ils reçoiuĕt de la lecturedes <lb/>bons liures, & </s> <s xml:id="echoid-s879" xml:space="preserve">de la frequente medita-<lb/>tion qui leur eſt ordinaire: </s> <s xml:id="echoid-s880" xml:space="preserve">& </s> <s xml:id="echoid-s881" xml:space="preserve">conſe-<lb/>quemment qu’ils doiuent gouuerner<unsure/> <lb/>les Republiques, & </s> <s xml:id="echoid-s882" xml:space="preserve">les Eſtats, & </s> <s xml:id="echoid-s883" xml:space="preserve">com-<lb/>mander aux peuples, ſuiuant le deſir <lb/>des anciens<unsure/>, qui ont creu que le mon-<lb/>de ſeroit bien-heureux quand il ſeroit <lb/>gouuerné par les Philoſophes, quoy <lb/>qu’ils ne ſe ſoient pas mis ſouz la con-<lb/>duite de Pythagore, ou de Platõ. </s> <s xml:id="echoid-s884" xml:space="preserve">Mais <lb/>l’on peut répondre que ceux qui em-<lb/>ployentleur vie à la lecture, & </s> <s xml:id="echoid-s885" xml:space="preserve">à la ſpe- <pb o="48" file="00067" n="66" rhead="Queſtions Phyſiques,"/> culation, ne ſont pas propres pour gou-<lb/>uerner les eſtats, ſi quant & </s> <s xml:id="echoid-s886" xml:space="preserve">quant leur <lb/>extraction ne les rend recommanda-<lb/>bles, & </s> <s xml:id="echoid-s887" xml:space="preserve">venerables aux peuples, qui <lb/>choiſiſſent ordinairement ce qui a pl<unsure/>us <lb/>déclat, & </s> <s xml:id="echoid-s888" xml:space="preserve">d’apparence. </s> <s xml:id="echoid-s889" xml:space="preserve">Et puis le long <lb/>eſtude affoiblit l’eſprit des hommes, & </s> <s xml:id="echoid-s890" xml:space="preserve"><lb/>ne permet pas ſouuĕt qu’ils ſoient vail-<lb/>lans, hardis, forts, & </s> <s xml:id="echoid-s891" xml:space="preserve">courageux, com-<lb/>me il eſt requis à ce<unsure/>ux qui doiuent pro-<lb/>teger les peuples enuers tous, & </s> <s xml:id="echoid-s892" xml:space="preserve">contre <lb/>tous. </s> <s xml:id="echoid-s893" xml:space="preserve">D’ailleurs, le plaiſir des bonnes <lb/>lettres eſt ſi charmant, que ceux qui <lb/>l’ont gouſté, mépriſent celuy des grãds <lb/>honneurs, lequel eſt ſouuent accom-<lb/>pagné de plus d’épines que de roſes. <lb/></s> <s xml:id="echoid-s894" xml:space="preserve">Or la principale raiſon de toutes celles <lb/>qui ſe peuuent imaginer, doit eſtre pri-<lb/>ſe de la Prouidence éternelle, qui choi-<lb/>ſit ceux qui luy plaiſt, pour les mettre <lb/>ſur les Thrônes, & </s> <s xml:id="echoid-s895" xml:space="preserve">pour leur faire por-<lb/>ter ſon Image en terre.</s> <s xml:id="echoid-s896" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s897" xml:space="preserve">Ceſt donc ſur elle que nous deuons <lb/>nous repoſer, comme ſur la plus ferme <lb/>baſe de toutes nos reſolutiõs, qui n’ont <lb/>nulle v<unsure/>ertu, qu’entant qu’elles la pren-<lb/>nent pour leur fondement: </s> <s xml:id="echoid-s898" xml:space="preserve">c’eſt elle <lb/>qui donne lerang, & </s> <s xml:id="echoid-s899" xml:space="preserve">l’ordre à chacun, <pb o="49" file="00068" n="67" rhead="& Mathematiques."/> & </s> <s xml:id="echoid-s900" xml:space="preserve">qui fait que les vns ſont Roys, les au-<lb/>tres Philoſophes, les vns riches & </s> <s xml:id="echoid-s901" xml:space="preserve">puiſ-<lb/>ſans, les autres pauur<unsure/>es & </s> <s xml:id="echoid-s902" xml:space="preserve">debiles, & </s> <s xml:id="echoid-s903" xml:space="preserve"><lb/>finalement c’eſt elle qui conduit tou-<lb/>tes les creatures à leurs fins, & </s> <s xml:id="echoid-s904" xml:space="preserve">qui s’ac-<lb/>cõmodant auec vn<unsure/>e douceur ineffable <lb/>à leurs capacitez les conduit aux lieux <lb/>qu’elle leur a preparez dés l’éternité. <lb/></s> <s xml:id="echoid-s905" xml:space="preserve">C’eſt pourquoy chacun ſe doit conten-<lb/>ter de ſa vacatiõ, & </s> <s xml:id="echoid-s906" xml:space="preserve">adorer cette gran-<lb/>de Prouidence, afin d’en joüir et<unsure/>ernel-<lb/>lement, lors qu’elle nous appellera de <lb/>cette vie, pour nous dõner celle qui n’a <lb/>point de terme, ni de limites.</s> <s xml:id="echoid-s907" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div35" type="section" level="1" n="34"> <head xml:id="echoid-head51" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s908" xml:space="preserve">Quiconque conſiderera attentiue-<lb/>ment qu’il ne ſe fait, ny neſe peutrien <lb/>faire, que par la conduite & </s> <s xml:id="echoid-s909" xml:space="preserve">par la pro-<lb/>uidence de Dieu, & </s> <s xml:id="echoid-s910" xml:space="preserve">que c’eſt luy qui <lb/>gouuernè toutes choſes immediate-<lb/>ment, n’y ayant que le ſeul peché, c’eſt <lb/>à dire le rien, ou le neant qu’il ne fait <lb/>pas, il ne pourra eſtrè emporté par au-<lb/>cune affliction, & </s> <s xml:id="echoid-s911" xml:space="preserve">demeurera touſiours <lb/>ferme & </s> <s xml:id="echoid-s912" xml:space="preserve">conſtant dans toutes ſortes <lb/>de rencontres, qui luy donneront le <pb o="50" file="00069" n="68" rhead="Queſtions Phyſiques,"/> tĕps de ſe reconnoiſtre, & </s> <s xml:id="echoid-s913" xml:space="preserve">de raiſonner. <lb/></s> <s xml:id="echoid-s914" xml:space="preserve">Car il conclurra, que c’eſt vne folie in-<lb/>tolerable de vouloir s’oppoſer aux de-<lb/>crets Diuins, & </s> <s xml:id="echoid-s915" xml:space="preserve">à la volonté du Maiſtre <lb/>de l’vniuers, & </s> <s xml:id="echoid-s916" xml:space="preserve">que c’eſt la plus grande <lb/>ſageſſe que les hommes puiſſent auoir, <lb/>que de ſe laiſſer gouuerner par les ſain-<lb/>ctes loix de la Prouidence eternelle, <lb/>qui ne permet pas qu’vn ſeul poil tom-<lb/>be de nos teſtes, qu’elle n’en ayt vn ſoin <lb/>particulier, ny que nous faſſions vn ſeul <lb/>pas, qu’elle n’en tienne vn conte tro<unsure/>ſ-<lb/>exact, & </s> <s xml:id="echoid-s917" xml:space="preserve">qu’elle ne nous en recompen-<lb/>ſe, ſi nous le faiſons pour quelque bon-<lb/>neintention.</s> <s xml:id="echoid-s918" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div36" type="section" level="1" n="35"> <head xml:id="echoid-head52" xml:space="preserve"><emph style="sc">Qvestion</emph> XII.</head> <head xml:id="echoid-head53" style="it" xml:space="preserve">A ſçauoir ſi l’on peut troun<unsure/>er la vraye lon-<lb/>gitude<unsure/>, ou la diſtance des Meridiens, <lb/>tant ſur la mer que ſur la terre, <lb/>pour l’vſage de la nauigation?</head> <p> <s xml:id="echoid-s919" xml:space="preserve">LA diſtance des Meridiens, ou la <lb/>difference des longitudes de deux <lb/>lieux de la terre, ou de la mer, ſe trou-<lb/>ue par l’obſeruation que l’on fait en <pb o="51" file="00070" n="69" rhead="& Mathematiques."/> deux lieux aſſez éloignez l’vn de l’au-<lb/>tre, de l’inſtant precis, auquel l’<unsure/>Eclipſe <lb/>de la Lune commence, ou finit: </s> <s xml:id="echoid-s920" xml:space="preserve">car la <lb/>difference du temps du midy eſtant <lb/>conuertie en degrez, monſtre la verita-<lb/>ble diſtance des Meridiens; </s> <s xml:id="echoid-s921" xml:space="preserve">d’autant <lb/>qu’à l@égard de tous ceux qui ont la <emph style="sc">L</emph>u-<lb/>ne ſur l’horizon, elle entre veritable-<lb/>ment, & </s> <s xml:id="echoid-s922" xml:space="preserve">viſiblement en meſme temps, <lb/>c’eſt à dire au commencement de l’E-<lb/>clypſe, dans la pyramide de l’ombre de <lb/>la terre, & </s> <s xml:id="echoid-s923" xml:space="preserve">en ſort à la fin. </s> <s xml:id="echoid-s924" xml:space="preserve">Car encore <lb/>que la Lune face parallaxe en cette po-<lb/>ſition, neantmoins ce n’eſt pas à l’égard <lb/>de l’ombre, dans laquelle elle eſt plon-<lb/>gée, mais à l’égard de la region du Ciel, <lb/>qui luy eſt ſuperieure, & </s> <s xml:id="echoid-s925" xml:space="preserve">qui eſt plus é-<lb/>loignée de la terre. </s> <s xml:id="echoid-s926" xml:space="preserve">A quoy il faut ad-<lb/>jouſter, que dans le paſſage de la Lune, <lb/>l’ombre de la terre, & </s> <s xml:id="echoid-s927" xml:space="preserve">elle, gardent vne <lb/>égale diſtance d’auec la ſur-face de la <lb/>terre, à l’égard de laquelle elles ne font <lb/>nul parallaxe, mais elles paroiſſent par <lb/>tout en meſme inſtant, ſouz la meſme <lb/>ligne de viſion, comme font les choſes <lb/>contiguës qui ſont les vnes ſur les au-<lb/>tres.</s> <s xml:id="echoid-s928" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s929" xml:space="preserve">Il y a encore vn autre moyen, dont <pb o="52" file="00071" n="70" rhead="Queſtions Phyſiques,"/> le fondement eſt demonſtratif, quoy <lb/>que la pratique en ſoit plus faſcheuſe, <lb/>& </s> <s xml:id="echoid-s930" xml:space="preserve">plus difficile, à ſçauoir l’Eclypſe du <lb/>Soleil, dont on aura obſerué le com-<lb/>mencement, & </s> <s xml:id="echoid-s931" xml:space="preserve">la fin en des lieux diffe-<lb/>rents, car ſi l’on compare le temps de la <lb/>durée, du commencement, & </s> <s xml:id="echoid-s932" xml:space="preserve">de la fin <lb/>que l’õ aura obſerué en ces deux lieux, <lb/>auec la difference des parallaxes de la <lb/>Lune entre les deux obſeruations, l’on <lb/>ſçaura la diſtance des Meridiens, & </s> <s xml:id="echoid-s933" xml:space="preserve">la <lb/>difference des longitudes.</s> <s xml:id="echoid-s934" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s935" xml:space="preserve">Mais il faut ſuppoſ@r que les Obſer-<lb/>uateurs cognoiſſent la meſure, & </s> <s xml:id="echoid-s936" xml:space="preserve">la <lb/>grandeur des refractions de l’orizon ſur <lb/>lequel ils obſeruent, autrement l’ob-<lb/>ſeruation ſera ſuſpecte.</s> <s xml:id="echoid-s937" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s938" xml:space="preserve">L’on peut dire la meſme choſe de <lb/>l’approche de la Lune aux eſtoilles fi-<lb/>xes, & </s> <s xml:id="echoid-s939" xml:space="preserve">aux Planettes, à ſçauoir quand <lb/>elle ſ<unsure/>interpoſe entre noſtre<unsure/> œil, & </s> <s xml:id="echoid-s940" xml:space="preserve">leurs <lb/>corps lumineux. </s> <s xml:id="echoid-s941" xml:space="preserve">Ce qui ne mãque pas <lb/>de difficultez, d’autant que la Lune <lb/>eſtant hors du point vertical, ne ſe pre-<lb/>ſente jamais à noſtre veuë en ſon vray <lb/>lieu, à cauſe du parallaxe, car elle eſt <lb/>touſiours plus baſſe, &</s> <s xml:id="echoid-s942" xml:space="preserve">plus inclinéevers <lb/>l’orizon. </s> <s xml:id="echoid-s943" xml:space="preserve">Or ce parallaxe qu’elle fal<unsure/>t <pb o="53" file="00072" n="71" rhead="& Mathematiques."/> hors le point du Zenith, ſe diſtribuë <lb/>quelquesfois touten longitude, à ſça-<lb/>uoir quand le Zodiaque paſſe par le <lb/>Zenith, & </s> <s xml:id="echoid-s944" xml:space="preserve">quelquefois tout en latitu-<lb/>de; </s> <s xml:id="echoid-s945" xml:space="preserve">ce quiarriue lors qu’elle eſt dans le <lb/>90. </s> <s xml:id="echoid-s946" xml:space="preserve">degré de l’Eclyptique ſurl’orizon: <lb/></s> <s xml:id="echoid-s947" xml:space="preserve">mais hors de ces 2. </s> <s xml:id="echoid-s948" xml:space="preserve">líeux ſon parallaxe <lb/>ſe diſtribuë, partie en longitude, & </s> <s xml:id="echoid-s949" xml:space="preserve">par-<lb/>tie en latitude.</s> <s xml:id="echoid-s950" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s951" xml:space="preserve">Apres ledit parallaxe, il faut conſi-<lb/>derer la refraction, qui accompagne la <lb/>Lune juſques au 45. </s> <s xml:id="echoid-s952" xml:space="preserve">Almicantarat, ou <lb/>degré de hautcur ſur l’orizon, car elle <lb/>fait vne diuerſité de viſion contraire à <lb/>la precedente, puis qu’elle hauſſe, & </s> <s xml:id="echoid-s953" xml:space="preserve">le-<lb/>ue vers le Zenith, au lieu que le paral-<lb/>laxe abaiſſe vers l’orizon, de ſorte que <lb/>la Lune eſt encore ſouz l’orizon, quand <lb/>la refraction la ſait voir deſſus.</s> <s xml:id="echoid-s954" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s955" xml:space="preserve">D’où il s’enſuit que l’obſeruation <lb/>qui ſe fera par cette voye, ſera plus dif-<lb/>ficile que l’autte, parce qu’elle requiert <lb/>vn homme experimĕté dans les obſer-<lb/>uations, & </s> <s xml:id="echoid-s956" xml:space="preserve">vn long calcul des paralla-<lb/>xes: </s> <s xml:id="echoid-s957" xml:space="preserve">& </s> <s xml:id="echoid-s958" xml:space="preserve">puis elle eſt enuelopée d’vne <lb/>grande perplexité, à raiſon desrefra-<lb/>ctions qui monſtrent touſiours la choſe <lb/>hors de ſon vray lieu.</s> <s xml:id="echoid-s959" xml:space="preserve"/> </p> <pb o="54" file="00073" n="72" rhead="Queſtions Phyſiques,"/> <p> <s xml:id="echoid-s960" xml:space="preserve">Or il faut preſuppoſer trois choſes <lb/>en ces obſeruatiõs, dont la premiere eſt <lb/>la connoiſſance aſſez preciſe de l’éle-<lb/>uation du pole ſur l’orizon où ſe fait <lb/>l’obſeruation. </s> <s xml:id="echoid-s961" xml:space="preserve">La 2. </s> <s xml:id="echoid-s962" xml:space="preserve">eſt le tĕps, & </s> <s xml:id="echoid-s963" xml:space="preserve">l’heu-<lb/>re exacte de l’apparence, & </s> <s xml:id="echoid-s964" xml:space="preserve">la 3. </s> <s xml:id="echoid-s965" xml:space="preserve">eſt vne <lb/>connoiſſance certaine des refractions <lb/>du lieu, où l’on obſerue: </s> <s xml:id="echoid-s966" xml:space="preserve">leſquclles 3. <lb/></s> <s xml:id="echoid-s967" xml:space="preserve">choſes eſtãt preciſémĕt connuës, con-<lb/>duiront infailliblement à la connoiſ-<lb/>ſance de la diſtance des Meridiens.</s> <s xml:id="echoid-s968" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s969" xml:space="preserve">Car quant aux parallaxes, la con-<lb/>noiſſance en eſt aſſez certaine, & </s> <s xml:id="echoid-s970" xml:space="preserve">ſont <lb/>égaux par toute la terre, lors que la <lb/>Lune eſt d’vne égale hauteur, ou du <lb/>moins la difference ne fait nulle erreur <lb/>ſenſible. </s> <s xml:id="echoid-s971" xml:space="preserve">Mais la diuerſité des refra-<lb/>ctions rend les obſeruations ſuſpectes, <lb/>quandla Lune eſt proche de l’Orizon, <lb/>comme l’on remarque dans celles de <lb/>Mceſtlin excellent Aſtronome de Tu-<lb/>binge, qui remarqua l’an 1590. </s> <s xml:id="echoid-s972" xml:space="preserve">le 7. <lb/></s> <s xml:id="echoid-s973" xml:space="preserve">Iuillet, que le Soleil ſe leuoit enOrient, <lb/>lors que la Lune eclipſée de quelques <lb/>doigts eſtoit quaſi éleuée de 2. </s> <s xml:id="echoid-s974" xml:space="preserve">degrez; </s> <s xml:id="echoid-s975" xml:space="preserve"><lb/>à l’Occident, & </s> <s xml:id="echoid-s976" xml:space="preserve">lors que ſon centre ſe <lb/>couchoit, lc Soleil eſtoit éleué do deux <lb/>degrez.</s> <s xml:id="echoid-s977" xml:space="preserve"/> </p> <pb o="55" file="00074" n="73" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s978" xml:space="preserve">D’où il@s’enſuit, comme Kepler la re-<lb/>marqué dans l’onzieſme prop. </s> <s xml:id="echoid-s979" xml:space="preserve">de ſes <lb/>Paralipomencs ſur Vitellion, nombre <lb/>8. </s> <s xml:id="echoid-s980" xml:space="preserve">que la refraction horizontale fut ce <lb/>iour là à Tubinge de plus de 2. </s> <s xml:id="echoid-s981" xml:space="preserve">degrez; <lb/></s> <s xml:id="echoid-s982" xml:space="preserve">ce qui eſt eſtrange, attendu que les plus <lb/>grandes que Tycho a obſeruées dans le <lb/>Dannemarc, n’ont iamais excedé 33. </s> <s xml:id="echoid-s983" xml:space="preserve"><lb/>minutes dans la Lune. </s> <s xml:id="echoid-s984" xml:space="preserve">Le meſme Ke-<lb/>pler remarque que les refractions ſont <lb/>plus égales, & </s> <s xml:id="echoid-s985" xml:space="preserve">plusvniformes ſur la mer <lb/>que ſur la terre, ſur laquelle elles ſont <lb/>quelquesfois inſenſibles, & </s> <s xml:id="echoid-s986" xml:space="preserve">d’autres <lb/>fois prodigieuſes à raisõ que l’Athmoſ-<lb/>phere retient quaſi touſiours vne meſ-<lb/>me diſtance d’auec l’eau.</s> <s xml:id="echoid-s987" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s988" xml:space="preserve">Le Lantgraue de Heſſ aſſeure dans <lb/>les Epiſtres de Tycho, qu’il a vne fois <lb/>obſerué Venus, comme ſi elle euſt eſté <lb/>ſtationnaire dans l’orizon l’eſpace d’vn <lb/>quart d’heure, encore qu’elle fuſt veri-<lb/>tablement plus de deux degrez ſouz <lb/>l’orizon; </s> <s xml:id="echoid-s989" xml:space="preserve">& </s> <s xml:id="echoid-s990" xml:space="preserve">qu’elle diſparut dans vn in-<lb/>ſtant; </s> <s xml:id="echoid-s991" xml:space="preserve">ce qui prouue vne refraction ex-<lb/>ceſſiue, & </s> <s xml:id="echoid-s992" xml:space="preserve">extraordinaire.</s> <s xml:id="echoid-s993" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s994" xml:space="preserve">Or ces refractions arriuent quand <lb/>l’air eſt épeſſi par vne vapeur qui monto <lb/>de la terre, de ſorte que la condenſa- <pb o="56" file="00075" n="74" rhead="Queſtions Phyſiques,"/> tion de l’air fait vne plus grande refra-<lb/>ction du rayon. </s> <s xml:id="echoid-s995" xml:space="preserve">Surquoy l’on peut en-<lb/>core rapporter que lesHollãdois ayant <lb/>nauigé l’an 1596. </s> <s xml:id="echoid-s996" xml:space="preserve">iuſques au 76. </s> <s xml:id="echoid-s997" xml:space="preserve">degré <lb/>de l’eleuation du pole, vers les terres <lb/>deſertes de la nou<unsure/>uelle Zemble, pour <lb/>chercher le paſſage qui entre dans l’O-<lb/>cean Scythique Oriental, & </s> <s xml:id="echoid-s998" xml:space="preserve">eſtant ar-<lb/>reſtcz par les glaces, leSoleil leur appa-<lb/>rut pour la derniere fois le 3. </s> <s xml:id="echoid-s999" xml:space="preserve">iour de <lb/>Nouembre, qui ne deuoit plus paroi-<lb/>ſtre iuſques à ce qu’il euſt meſme decli-<lb/>naiſon Auſtrale, laquelle arriuoit iuſte-<lb/>ment le 6. </s> <s xml:id="echoid-s1000" xml:space="preserve">iour de Feurier l’an ſuiuant <lb/>1597. </s> <s xml:id="echoid-s1001" xml:space="preserve">& </s> <s xml:id="echoid-s1002" xml:space="preserve">neantmoinsil leur apparut le <lb/>24. </s> <s xml:id="echoid-s1003" xml:space="preserve">de Ianuier, lequel a pour caractcre <lb/>infaillible l’obſeruation de la conjon-<lb/>ction de la Lune à Iupiter au 2. </s> <s xml:id="echoid-s1004" xml:space="preserve">degré <lb/>du Taurea<unsure/>u, quelques heures apres que <lb/>le Soleil futretiré.</s> <s xml:id="echoid-s1005" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1006" xml:space="preserve">De ſorte que le Soleil cſtoit encore <lb/>réellement 4. </s> <s xml:id="echoid-s1007" xml:space="preserve">degrez ſouz l’orizon, <lb/>quand il ſe mõſtra en partie ſur iceluy: <lb/></s> <s xml:id="echoid-s1008" xml:space="preserve">d’où il s’enſuit neceſſairement, que la <lb/>refraction horizontale fut ce iour là de <lb/>plus de 4. </s> <s xml:id="echoid-s1009" xml:space="preserve">d@grez dãs la nouuelle Zem-<lb/>ble, à raiſon de l’cpeſſeur de l’air con-<lb/>denſè par les tenebres, & </s> <s xml:id="echoid-s1010" xml:space="preserve">par le froid <pb o="57" file="00076" n="75" rhead="& Mathematiques."/> continuel de ces terres gelées. </s> <s xml:id="echoid-s1011" xml:space="preserve">D’ail-<lb/>leurs, les refractiõs ſont par tout moin-<lb/>dres en Automne, qu’en Hyuer, & </s> <s xml:id="echoid-s1012" xml:space="preserve">en <lb/>autres ſaiſons de l’année, & </s> <s xml:id="echoid-s1013" xml:space="preserve">ſuiuent la <lb/>denſité, & </s> <s xml:id="echoid-s1014" xml:space="preserve">la rarcté de l’air des differens <lb/>lieux où l’on ſe rencontre: </s> <s xml:id="echoid-s1015" xml:space="preserve">c’eſt pour-<lb/>quoy l’on n’eſt iamais aſſeuré du vray <lb/>lieu de la Lune, & </s> <s xml:id="echoid-s1016" xml:space="preserve">de @Eſtoile, que l’on <lb/>ne connoiſſe la grandeur de l’angle de <lb/>refraction dans l’orizon, & </s> <s xml:id="echoid-s1017" xml:space="preserve">en quelle <lb/>proportiõ il ſe diminuë, ous’augmente.</s> <s xml:id="echoid-s1018" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1019" xml:space="preserve">Or pour ſçauoir ſi ce moyen, ou quel-<lb/>qu’autre peut ſeruir à ceux qui naui-<lb/>gent la grande mer du Nord, du Sud, <lb/>& </s> <s xml:id="echoid-s1020" xml:space="preserve">des auttes parties de l’Ocean, lors <lb/>qu’ils veulent trouuer la diſtance des <lb/>Mcridiens, & </s> <s xml:id="echoid-s1021" xml:space="preserve">le degré de leur longitu-<lb/>de, il faut ſuppoſer 4. </s> <s xml:id="echoid-s1022" xml:space="preserve">choſes, dont la <lb/>premiere eſt vn <emph style="sc">M</emph>eridien fixe ſur quel-<lb/>que lieu de la terre. </s> <s xml:id="echoid-s1023" xml:space="preserve">La 2. </s> <s xml:id="echoid-s1024" xml:space="preserve">que les tables <lb/>Aſtronomiques du mouuement des <lb/>planettes, & </s> <s xml:id="echoid-s1025" xml:space="preserve">particulierement de la <lb/>Lune, reſpondent exactement aux ap-<lb/>parĕces du Ciel, & </s> <s xml:id="echoid-s1026" xml:space="preserve">a<unsure/>u Meridien ſuppo-<lb/>ſé. </s> <s xml:id="echoid-s1027" xml:space="preserve"><emph style="sc">L</emph>a 3 que l’Obſe ruateur cognoiſſeles <lb/>refractions du lieu, où il obſerue; </s> <s xml:id="echoid-s1028" xml:space="preserve">& </s> <s xml:id="echoid-s1029" xml:space="preserve">la <lb/>4. </s> <s xml:id="echoid-s1030" xml:space="preserve">que l’obſeruation ſe face par v@ <lb/>homme exercé, & </s> <s xml:id="echoid-s1031" xml:space="preserve">ſçauant en telles <pb o="58" file="00077" n="76" rhead="Queſtions Phyſiques,"/> choſes, & </s> <s xml:id="echoid-s1032" xml:space="preserve">qui ayt des inſtrumens treſ-<lb/>juſtes, & </s> <s xml:id="echoid-s1033" xml:space="preserve">aſſez grands.</s> <s xml:id="echoid-s1034" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1035" xml:space="preserve">Quant à la premiere choſe, elle eſt <lb/>poſſible, facile, & </s> <s xml:id="echoid-s1036" xml:space="preserve">vſitée: </s> <s xml:id="echoid-s1037" xml:space="preserve">la 2. </s> <s xml:id="echoid-s1038" xml:space="preserve">eſt dou-<lb/>teuſe, & </s> <s xml:id="echoid-s1039" xml:space="preserve">n’eſt pas encore certaine, d’au-<lb/>tant que le mouuement de la Lune <lb/>(qui ſeul peut ſeruir à cette operation) <lb/>determiné par les 3. </s> <s xml:id="echoid-s1040" xml:space="preserve">Equations de Ty-<lb/>cho Brahé eſt quelquefois moindre, ou <lb/>plus grãde de la ſixiéme partie d’vn de-<lb/>gré, comme les obſeruations de Tycho <lb/>l’ontobligé de le confeſſer, & </s> <s xml:id="echoid-s1041" xml:space="preserve">de ſuiure <lb/>le milieu de cet excez, & </s> <s xml:id="echoid-s1042" xml:space="preserve">de ce defaut.</s> <s xml:id="echoid-s1043" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1044" xml:space="preserve">Kepler ſe ſert de cette va<gap/>té dedans <lb/>ſes tables, de ſorte que ſon calcul ſe <lb/>trouue different de celuy de Tycho, <lb/>de huict ou neuf minutes, qui font <lb/>quelquefois le tiers d’vne heure dans <lb/>le mouuement de la Lune, & </s> <s xml:id="echoid-s1045" xml:space="preserve">5. </s> <s xml:id="echoid-s1046" xml:space="preserve">degrez <lb/>de lõgitude ſur la terre, qui vallent 75. <lb/></s> <s xml:id="echoid-s1047" xml:space="preserve">lieuës d’Allemagne ſouz l’Equateur.</s> <s xml:id="echoid-s1048" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1049" xml:space="preserve">Les autres tables, comme les ancien-<lb/>nes de Ptolomée, & </s> <s xml:id="echoid-s1050" xml:space="preserve">d’Alphonſe, auſſi <lb/>bien que les nouuelles Pruteniques <lb/>dreſſées par Eraſme Reinhold, & </s> <s xml:id="echoid-s1051" xml:space="preserve">qui <lb/>ont les obſeruations, & </s> <s xml:id="echoid-s1052" xml:space="preserve">le calcul de <lb/>Copernic pour leur fondement, s’éloi-<lb/>gnent des apparences iuſques à vn de- <pb o="59" file="00078" n="77" rhead="& Mathematiques."/> gré & </s> <s xml:id="echoid-s1053" xml:space="preserve">dauantage: </s> <s xml:id="echoid-s1054" xml:space="preserve">celles de Lansberge <lb/>s’eloignent auſſi des apparences, & </s> <s xml:id="echoid-s1055" xml:space="preserve">du <lb/>calcul de Tycho, quoy qu’il conuienne <lb/>le plus exactemĕt de tous auec le Ciel: <lb/></s> <s xml:id="echoid-s1056" xml:space="preserve">de ſotte qu’il en faut demeurer à celles <lb/>dudit Tycho, puis qu’elles ſont les plus <lb/>certaines: </s> <s xml:id="echoid-s1057" xml:space="preserve">or il eſt conſtant qu’elles s’é-<lb/>loignent encore quclquefois des appa-<lb/>rences, & </s> <s xml:id="echoid-s1058" xml:space="preserve">conſequemment l’on ne peut <lb/>s’aſſeurer de la 2. </s> <s xml:id="echoid-s1059" xml:space="preserve">condition, laquelle <lb/>eſt la plus neceſſaire en cette matiere.</s> <s xml:id="echoid-s1060" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1061" xml:space="preserve">La 3. </s> <s xml:id="echoid-s1062" xml:space="preserve">qui conſiſte à connoiſtre les <lb/>refractions, requiert l’experience de <lb/>pluſieurs années, & </s> <s xml:id="echoid-s1063" xml:space="preserve">mãque le plus ſou-<lb/>uent. </s> <s xml:id="echoid-s1064" xml:space="preserve">Quant à la 4. </s> <s xml:id="echoid-s1065" xml:space="preserve">elle eſt poſſible en <lb/>vn point, puis qu’il y a des Pilotes treſ-<lb/>ſçauans, & </s> <s xml:id="echoid-s1066" xml:space="preserve">exercez dans les Mathema-<lb/>tiques: </s> <s xml:id="echoid-s1067" xml:space="preserve">mais elle eſt treſ-difficile, à rai-<lb/>ſon qu’il faut vne grande tranquillité <lb/>pour obſeruer, car ſi l@inſtrument n’eſt <lb/>arreſté, & </s> <s xml:id="echoid-s1068" xml:space="preserve">immobile, iamais l’obſer-<lb/>uation ne ſera exacte, & </s> <s xml:id="echoid-s1069" xml:space="preserve">fidelle: </s> <s xml:id="echoid-s1070" xml:space="preserve">or l’on <lb/>ſçait combien la mer eſt inſtable, de <lb/>ſorte que la 2. </s> <s xml:id="echoid-s1071" xml:space="preserve">condition n’eſtant point <lb/>encore arriuée, & </s> <s xml:id="echoid-s1072" xml:space="preserve">la 3. </s> <s xml:id="echoid-s1073" xml:space="preserve">& </s> <s xml:id="echoid-s1074" xml:space="preserve">4. </s> <s xml:id="echoid-s1075" xml:space="preserve">eſtant ſi <lb/>difficiles, il eſt impoſſible de ſçauoir <lb/>tellement la diſtance de 2. </s> <s xml:id="echoid-s1076" xml:space="preserve">Meridiens <lb/>par vne ſeule obſeruation faite en l’vn <pb o="60" file="00079" n="78" rhead="Queſtions Phyſiques,"/> d’iceux, l’autre eſtant poſé, qu’il n’y ait <lb/>nul ſoupçon d’erreur.</s> <s xml:id="echoid-s1077" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1078" xml:space="preserve">D’où l’vn de mes amis, treſ-excel-<lb/>lent Aſtronome, conclud qu’il eſt im-<lb/>poſſible de dreſſer des tables perpetuel-<lb/>les, & </s> <s xml:id="echoid-s1079" xml:space="preserve">vniuerſelles des longitudes, & </s> <s xml:id="echoid-s1080" xml:space="preserve"><lb/>qu’il ſaut laiſſer cela à la dexterité du <lb/>Pilote, qui peut arriuer aſſez prés de la <lb/>difference des Meridiens par les obſer-<lb/>uations de pluſieurs iours, s’il eſt bon <lb/>Aſtronome, & </s> <s xml:id="echoid-s1081" xml:space="preserve">s’il ſçait obſeruer le <lb/>cours des Eſtoiles, pourueu qu’il pren-<lb/>ne la Lune dans le 90. </s> <s xml:id="echoid-s1082" xml:space="preserve">degré, ou proche <lb/>d’iceluy, & </s> <s xml:id="echoid-s1083" xml:space="preserve">lors qu’elle ſera en quadrat, <lb/>ou en oppoſition auecle So@@il, ou vn <lb/>iour deuant, ou apres.</s> <s xml:id="echoid-s1084" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1085" xml:space="preserve">Chriſtianus Longomontanus propo-<lb/>ſe á la ſin de ſon 2. </s> <s xml:id="echoid-s1086" xml:space="preserve">liure des Theori-<lb/>ques, le moyen de connoiſtre la diſtan-<lb/>ce de toutes ſortes de Meridiens d’auec <lb/>celuy de Hafnie, par la diſtance de ia <lb/>Lune priſe de quelque Eſtoile proche <lb/>du Zodiaque, mais il veut que la Lune <lb/>ſoit dans lc 90. </s> <s xml:id="echoid-s1087" xml:space="preserve">degré de l’eclyptique, & </s> <s xml:id="echoid-s1088" xml:space="preserve"><lb/>quel Azimuth, ou cercle des hauteurs <lb/>de la Lune couppe le Zodiaque á an-<lb/>gles droits, d’autant qu’elle n’a pour <lb/>lors nul parallaxe en longitude:</s> <s xml:id="echoid-s1089" xml:space="preserve"/> </p> <pb o="61" file="00080" n="79" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s1090" xml:space="preserve">Sans doute cette ſituation de la Lu-<lb/>ne eſt la plus ſeure, pourueu que l’E-<lb/>ſtoile, dont on prendra la diſtãce, n’ayt <lb/>pas grande latitude; </s> <s xml:id="echoid-s1091" xml:space="preserve">mais ſi elle ſurpaſ-<lb/>ſe 2. </s> <s xml:id="echoid-s1092" xml:space="preserve">degrez, & </s> <s xml:id="echoid-s1093" xml:space="preserve">que la diſtance de l’E-<lb/>ſtoile, & </s> <s xml:id="echoid-s1094" xml:space="preserve">de la Lune ſoit moindre que <lb/>10. </s> <s xml:id="echoid-s1095" xml:space="preserve">degrez, on peut commettre vn er-<lb/>reur de 15. </s> <s xml:id="echoid-s1096" xml:space="preserve">minutes, que la Lune fait <lb/>en demie-heure; </s> <s xml:id="echoid-s1097" xml:space="preserve">d où il arriue vn er-<lb/>reur de 7. </s> <s xml:id="echoid-s1098" xml:space="preserve">degrez & </s> <s xml:id="echoid-s1099" xml:space="preserve">demy en longitu-<lb/>de, quivallent 112 {1/2} lieuës d’Allemagne <lb/>ſouz l’Equinoctial. </s> <s xml:id="echoid-s1100" xml:space="preserve">Or cét erreur peut <lb/>s’augmenter au double, ſi par exemple, <lb/>l’Eſtoile eſt en ſa latitude Meridiona-<lb/>le, & </s> <s xml:id="echoid-s1101" xml:space="preserve">la Lune dans la Septentrionnale, <lb/>ou au contraire.</s> <s xml:id="echoid-s1102" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1103" xml:space="preserve">Il vaudroit donc mieux prendre la <lb/>diſtance de la Lune d’auec 2. </s> <s xml:id="echoid-s1104" xml:space="preserve">Eſtoiles, <lb/>& </s> <s xml:id="echoid-s1105" xml:space="preserve">par l’analyſe d’vn triangle ſpherique <lb/>trouuer ſon vray lieu. </s> <s xml:id="echoid-s1106" xml:space="preserve">Or ſi l’on prend <lb/>la Lune hors du 90. </s> <s xml:id="echoid-s1107" xml:space="preserve">degré du Zodia-<lb/>que, elle fera touſiours parallaxe en <lb/>longitude, & </s> <s xml:id="echoid-s1108" xml:space="preserve">ſera pour lors treſ-diffici-<lb/>le de trouuer exactement ſon vray lieu, <lb/>comme il a eſté monſtré cy - deuant, <lb/>& </s> <s xml:id="echoid-s1109" xml:space="preserve">neantmoins ſi l’on n’a ce vray lieu, <lb/>l’on deſeſpere de iamais pouuoir con-<lb/>noiſtre la vraye diſtance desMeildiens, <pb o="62" file="00081" n="80" rhead="Queſtions Pbyſiques,"/> & </s> <s xml:id="echoid-s1110" xml:space="preserve">la difference des longitudes, dont on <lb/>ne peut auſſi iuger par le leuer, & </s> <s xml:id="echoid-s1111" xml:space="preserve">lc <lb/>coucher de la Lune, tant á cauſe des <lb/>differentes refractions, que parce qu’il <lb/>peut arriuer, & </s> <s xml:id="echoid-s1112" xml:space="preserve">arriue en effet, qu’en <lb/>deux meridiens éloignez de deux cent <lb/>lieuës l vn de l’autre, ſouz meſme pa-<lb/>rallele, biĕ que la Lune ſe leue premie-<lb/>rement, dãs l’vn que dans l’autre, l’on <lb/>ob@erue ſans erreur ſenſible la meſme <lb/>heure, & </s> <s xml:id="echoid-s1113" xml:space="preserve">la meſme diſtance du Soleil <lb/>au Meridien, & </s> <s xml:id="echoid-s1114" xml:space="preserve">conſequemment il eſt <lb/>impoſſible de determiner la diſtance <lb/>des deux. </s> <s xml:id="echoid-s1115" xml:space="preserve">Ce qui arriue parce que la <lb/>Lune fait demy degré dans vne heure, <lb/>& </s> <s xml:id="echoid-s1116" xml:space="preserve">quelquefois n’eſt pas vne minute <lb/>d’heure à ſe leuer.</s> <s xml:id="echoid-s1117" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1118" xml:space="preserve">Or apres le diſcours de cet excellent <lb/>A ſtronome, j<unsure/>‘adjouſte que ces longitu-<lb/>des ſe peuuent trouuer par le moyen <lb/>d’vn horloge d’eau, ou de ſable, & </s> <s xml:id="echoid-s1119" xml:space="preserve">d’vn <lb/>autre au Soleil, dont le premier fera <lb/>ſçauoir le temps qui ſe ſera écoulé de-<lb/>puis le premier lieu, du quel on ſuppoſe <lb/>que le Meridien, ou le degré de longi-<lb/>tude eſt cogneu, ſoit que le vaiſſeau <lb/>ayt enduré mille tourmentes, & </s> <s xml:id="echoid-s1120" xml:space="preserve">que <lb/>l’on ne ſçache où l’on eſt, ſoit qu’il ayt <pb o="63" file="00082" n="81" rhead="& Matbematiques."/> cu toute ſorte de calme, car ſi l’orlogo<unsure/> <lb/>d’eau cſt bien fait, & </s> <s xml:id="echoid-s1121" xml:space="preserve">qu’il demeure<unsure/> <lb/>touſiours pcrpendiculaire, comme fait <lb/>la lampe de Cardan, il monſtrera iuſte-<lb/>ment combien il y a d’heures qu@ l’on <lb/>vogue ſur la mer, & </s> <s xml:id="echoid-s1122" xml:space="preserve">conſequemment <lb/>qu’elle heure il eſt au lieu d’où l’on @ <lb/>party, & </s> <s xml:id="echoid-s1123" xml:space="preserve">dont on connoiſt le Meridien. <lb/></s> <s xml:id="echoid-s1124" xml:space="preserve">Par exe<unsure/>mple, ſi l’orloge dure 24. </s> <s xml:id="echoid-s1125" xml:space="preserve">heu-<lb/>res, & </s> <s xml:id="echoid-s1126" xml:space="preserve">que l’on ſoit party à midy, il ſera <lb/>iuſtemcnt midy au lieu, d’où l’on eſt <lb/>party, ſi toute l’eau eſt tombée: </s> <s xml:id="echoid-s1127" xml:space="preserve">ce qui <lb/>arriueraſemblablemĕt, ſi elle s’eſt vui-<lb/>dée 3. </s> <s xml:id="echoid-s1128" xml:space="preserve">4. </s> <s xml:id="echoid-s1129" xml:space="preserve">ou 5. </s> <s xml:id="echoid-s1130" xml:space="preserve">fois, &</s> <s xml:id="echoid-s1131" xml:space="preserve">c. </s> <s xml:id="echoid-s1132" xml:space="preserve">caril y aura au-<lb/>tant de iours depuis le depart.</s> <s xml:id="echoid-s1133" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1134" xml:space="preserve">Quãt à l’orloge au Soleil, ſoit que l’õ <lb/>vſe d’vn aſ@rolablevniuerſel, ou de quel <lb/>qu’autre inſtrumĕttreſ exactpourtrou-<lb/>uer l’heure, & </s> <s xml:id="echoid-s1135" xml:space="preserve">pour prendre la hauteur <lb/>du Soleil au midy du<unsure/> lieu, où l’on ſera, il <lb/>monſtrera la diſtance du Meridiĕ con-<lb/>nu, & </s> <s xml:id="echoid-s1136" xml:space="preserve">ſuppoſé d’auec celuy du lieu, où <lb/>l’on eſt; </s> <s xml:id="echoid-s1137" xml:space="preserve">par exemple, s’il y a 24. </s> <s xml:id="echoid-s1138" xml:space="preserve">heures <lb/>que l’on eſt party de deſlouz le Meri-<lb/>dien connu, & </s> <s xml:id="echoid-s1139" xml:space="preserve">que l’horlogeau Soleil <lb/>monſtre vne heure apres midy, c’eſt <lb/>choſe aſſeurée que le Meridien où l’on <lb/>c<unsure/>ſt, ſera éloigné dc I 5. </s> <s xml:id="echoid-s1140" xml:space="preserve">degrez du Meri- <pb o="64" file="00083" n="82" rhead="Queſtions Phyſiques,"/> dien ſuppoſé, qu’il laiſſe vers l’Occi-<lb/>dent, & </s> <s xml:id="echoid-s1141" xml:space="preserve">s’il n’eſt qu’onze heures, il l’au-<lb/>ra laiſſé à l’Orient : </s> <s xml:id="echoid-s1142" xml:space="preserve">or il faut faire les <lb/>obſeruations quand le Soleil eſt en ſon <lb/>midy, parce qu’il eſt pour lors exempt <lb/>de refractiõ, ou s’il en a, elle eſt la moin-<lb/>dre de tout le iour. </s> <s xml:id="echoid-s1143" xml:space="preserve">Il faut dire la meſ-<lb/>me choſe des Eſtoiles, qui peuuent ſer-<lb/>uir pour ſçauoir l’heure, & </s> <s xml:id="echoid-s1144" xml:space="preserve">la longitude <lb/>au lieu du Soleil. </s> <s xml:id="echoid-s1145" xml:space="preserve">Mais il faut touſiours <lb/>prendre les Eſtoiles en leur plus grande <lb/>hauteur auſſi bien que le Soleil, afin <lb/>d’éuiter l’erreur des refractions.</s> <s xml:id="echoid-s1146" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div37" type="section" level="1" n="36"> <head xml:id="echoid-head54" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s1147" xml:space="preserve">Ceux qui ſ’imaginent la Geographie <lb/>de la Lune, & </s> <s xml:id="echoid-s1148" xml:space="preserve">qui croyent en pouuoir <lb/>marquer, & </s> <s xml:id="echoid-s1149" xml:space="preserve">diſtinguer les differentes <lb/>prouinces, & </s> <s xml:id="echoid-s1150" xml:space="preserve">les riuieres, & </s> <s xml:id="echoid-s1151" xml:space="preserve">les foreſts, <lb/>ſont bien éloignez de leur deſſein, puis <lb/>qu’ils ne peuuent pas ſeulement trou-<lb/>uer les longitudes de la terre, ny de la <lb/>mer, quoy qu’elles leur ſeruent de de-<lb/>meure. </s> <s xml:id="echoid-s1152" xml:space="preserve">Mais les eſprits bien-heureux <lb/>ont vn grand contentement de ſçauoir <lb/>les longitudes de noſtre monde, & </s> <s xml:id="echoid-s1153" xml:space="preserve">de <lb/>tous les Aſtres, ſi toutesfois ce conten- <pb o="65" file="00084" n="83" rhead="& Matbematiques."/> tement peut eſtre de quelque conſide-<lb/>ration à l’égard de celuy qu’ils reçoi-<lb/>uent de la viſion, & </s> <s xml:id="echoid-s1154" xml:space="preserve">de la jouïſſance de <lb/>Di<unsure/>eu, qui les éleue à vne ſcience bien <lb/>plus grande, & </s> <s xml:id="echoid-s1155" xml:space="preserve">plus excellente que <lb/>celle de toute la nature. </s> <s xml:id="echoid-s1156" xml:space="preserve">C’<unsure/>eſt donc <lb/>apres celle la qu’il faut tou<unsure/>ſiours aſpi-<lb/>rer, & </s> <s xml:id="echoid-s1157" xml:space="preserve">qu<unsure/> neſ acqmert<unsure/> @ue par l’obſer-<lb/>uation des commandeméns de D eu, <lb/>& </s> <s xml:id="echoid-s1158" xml:space="preserve">par l’accompliſſement de ſa ſaincte <lb/>volonté, qui a vne auſſi grande diſfe-<lb/>rence de longitude d’auec la noſtre, <lb/>qu’il y a d’imperfections dans la crea-<lb/>ture, & </s> <s xml:id="echoid-s1159" xml:space="preserve">de perfectiõs dans le Createur.</s> <s xml:id="echoid-s1160" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div38" type="section" level="1" n="37"> <head xml:id="echoid-head55" xml:space="preserve"><emph style="sc">Qvestion</emph> XIII.</head> <head xml:id="echoid-head56" style="it" xml:space="preserve">Quelle eſt la choſe la plus admirable de tout <lb/>le monde ?</head> <p> <s xml:id="echoid-s1161" xml:space="preserve">CEtte queſtion ſe doit entendre des <lb/>choſes viſibles & </s> <s xml:id="echoid-s1162" xml:space="preserve">corporelles, aſin <lb/>que l’on ne meſle pas la beauté, & </s> <s xml:id="echoid-s1163" xml:space="preserve">l’ex-<lb/>cellĕce de l’eſprit, auec celle du corps, <lb/>& </s> <s xml:id="echoid-s1164" xml:space="preserve">que l’on ſe tienne dans le meſme or-<lb/>dre des creatures. </s> <s xml:id="echoid-s1165" xml:space="preserve">Or il ſemble que <lb/>tous les mortels contemplent les@cieux <pb o="66" file="00085" n="84" rhead="Queſtions Phyſiques,"/> comme la plus excellente piece du <lb/>monde, & </s> <s xml:id="echoid-s1166" xml:space="preserve">que le Soleil ſoit le corps le <lb/>plus admirable de toute la nature: </s> <s xml:id="echoid-s1167" xml:space="preserve">de <lb/>là vient qu’il eſt nommé Opus admirabi-<lb/>le, vas excelſi, dans le 43 chap. </s> <s xml:id="echoid-s1168" xml:space="preserve">de l’Ec-<lb/>cleſiaſtique; </s> <s xml:id="echoid-s1169" xml:space="preserve">dans lequel nous liſons <lb/>encore, tripliciter Solexurens montes, ce <lb/>que l’on peut expliquer de ſes trois ſor-<lb/>tes de ray ons, à ſçauoir des droits, dont <lb/>il les frappe quand il eſt leué; </s> <s xml:id="echoid-s1170" xml:space="preserve">des refle-<lb/>chis qu’il enuoie deſſus par la reflexion <lb/>de la Lune & </s> <s xml:id="echoid-s1171" xml:space="preserve">des autres aſtres, & </s> <s xml:id="echoid-s1172" xml:space="preserve">des <lb/>rompus, dont il les illumine auant que <lb/>d’eſtre leué ſur noſtre horizon par l’en-<lb/>tremiſe de l’atmoſphere, ou des nuës: <lb/></s> <s xml:id="echoid-s1173" xml:space="preserve">ſi cen’eſt que l’on die qu´il les illumine <lb/>le matin, & </s> <s xml:id="echoid-s1174" xml:space="preserve">le ſoir, cncore qu’il n´illu-<lb/>mine plus les campagnes, & </s> <s xml:id="echoid-s1175" xml:space="preserve">que s’ima-<lb/>ginant les montagnes ſouz l’équateur, <lb/>ou dans la Zone torride, il les échauffe <lb/>dauantage, parce qu’il en eſt plus pres <lb/>que des campagnes: </s> <s xml:id="echoid-s1176" xml:space="preserve">quoy<unsure/> que le con-<lb/>traire ſe remarque à leur ſommet, à rai-<lb/>ſon qu’il reçoit moins de lumiere refle-<lb/>chie, & </s> <s xml:id="echoid-s1177" xml:space="preserve">que l’air y eſt plus rare, & </s> <s xml:id="echoid-s1178" xml:space="preserve">con-<lb/>fequemment moins capable de cha-<lb/>leur.</s> <s xml:id="echoid-s1179" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1180" xml:space="preserve">Certes il e<unsure/>ſt malaiſé de trouuer, ou <pb o="67" file="00086" n="85" rhead="& Matbematiques."/> de s’imaginer vne plus belle choſe au <lb/>monde que la lumiere, puis qu’il ſem-<lb/>ble que la beauté de toutes les autres <lb/>choſes depen@ d elle, du moins à noſtre <lb/>égard: </s> <s xml:id="echoid-s1181" xml:space="preserve">c’eſt pourquoy l’on excuſe or. <lb/></s> <s xml:id="echoid-s1182" xml:space="preserve">dinairement plus volontiers ceux qui <lb/>ont adoré la lumiere, que ceux qui ont <lb/>tendu des honneurs diuins aux plantes, <lb/>& </s> <s xml:id="echoid-s1183" xml:space="preserve">aux animaux.</s> <s xml:id="echoid-s1184" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1185" xml:space="preserve">Et puis ſa production imite celle des <lb/>choſes ſpirituelles, dautant qu’elle ſe <lb/>fait dans vn moment, & </s> <s xml:id="echoid-s1186" xml:space="preserve">ſe tire en <lb/>quelque maniere du ſort, & </s> <s xml:id="echoid-s1187" xml:space="preserve">de la por-<lb/>téee des autres agens corporels, qui ont <lb/>beſoin du mouuement local, & </s> <s xml:id="echoid-s1188" xml:space="preserve">du tĕps <lb/>pour agir. </s> <s xml:id="echoid-s1189" xml:space="preserve">D’ailleurs elle ſe porte à l’in-<lb/>fini, de ſorte que ſi l’on ramaſſoit toute <lb/>la lumiere d’vne chandelle qui éclaire <lb/>depuis la terre juſques au firmament, <lb/>l’on verroit auſſi clair ſur le concaue <lb/>dudit firmament, comme ſi l’on auoit <lb/>la chandelle dans la main. </s> <s xml:id="echoid-s1190" xml:space="preserve">V eritable-<lb/>ment c’eſt vne choſe admirable d’ex-<lb/>perimenter qu’vne petite eſteincelle <lb/>de feu, que l’on fait tomber en frappant <lb/>vn caillou, rempliſſe ſenſiblement tou-<lb/>te la ſolidité d’vne ſphere d’air de 20. <lb/></s> <s xml:id="echoid-s1191" xml:space="preserve">ou cent pieds de large, & </s> <s xml:id="echoid-s1192" xml:space="preserve">que ſi elle <pb o="68" file="00087" n="86" rhead="Queſtions Pbyſiques,"/> n’eſt pas reſeruée dans vne chambre, <lb/>qu’elle rempliſſe toute la ſolidité du <lb/>mõde de tous<unsure/> les coſtez oùil n<unsure/>e ſeren-<lb/>contre nul corps opaque; </s> <s xml:id="echoid-s1193" xml:space="preserve">& </s> <s xml:id="echoid-s1194" xml:space="preserve">finalement <lb/>qu’eſtant renfermée, cette infinie ca-<lb/>pacité ſoit bornée par vne eſpace de 4. <lb/></s> <s xml:id="echoid-s1195" xml:space="preserve">pieds, ce qui ne peut arriuer ſans vne <lb/>infinité de reflexions. </s> <s xml:id="echoid-s1196" xml:space="preserve">D’où il eſt ay ſé <lb/>de conclure qu’elle eſt la choſe la plus <lb/>admirable du monde, & </s> <s xml:id="echoid-s1197" xml:space="preserve">qu’il n’y a rien <lb/>entre toutes les choſes corporelles qui <lb/>nous repreſente la Diuinité plus viue-<lb/>mĕt que la lumiere, qui nous doit tou-<lb/>ſiours faire ſouuenir d’auoir recours à <lb/>celle du S. </s> <s xml:id="echoid-s1198" xml:space="preserve">Eſprit, ſuiuan@ la priere de <lb/>l<unsure/>´Egliſe,ô lux beatiſsima, reple cordis inti-<lb/>ma tuorum fidelium.</s> <s xml:id="echoid-s1199" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div39" type="section" level="1" n="38"> <head xml:id="echoid-head57" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s1200" xml:space="preserve">Encore que la lumiere du Soleil ſoit <lb/>treſ-<unsure/>excellente, & </s> <s xml:id="echoid-s1201" xml:space="preserve">admirable, comme <lb/>nous auons dit, neantmoins elle n’eſt <lb/>pas quaſi conſiderable à l’égard de l’ex-<lb/>cellence de la vie<unsure/>, ou du Principe de la <lb/>vie, qui anime les plantes, & </s> <s xml:id="echoid-s1202" xml:space="preserve">les ani-<lb/>maux; </s> <s xml:id="echoid-s1203" xml:space="preserve">& </s> <s xml:id="echoid-s1204" xml:space="preserve">ie ne doute nullement que <lb/>s<unsure/>ous les hommes ſeroient rauis, ſ’ils <pb o="69" file="00088" n="87" rhead="& Matbematiques."/> pouuoient comprendre ce Principe, & </s> <s xml:id="echoid-s1205" xml:space="preserve"><lb/>s’ils en poun<unsure/>oient diſpoſer, comme de <lb/>la lumiere, qu’ils contraignenten for-<lb/>me de coue, ou de cylindre par le moyĕ <lb/>des glaces paraboliques, ſpheriques, & </s> <s xml:id="echoid-s1206" xml:space="preserve"><lb/>hyperboliques, quoy qu’il ſoit peut-<lb/>eſtre auſſi difficile de ſçauoir la diſpoſi-<lb/>tion, & </s> <s xml:id="echoid-s1207" xml:space="preserve">les qualitez que doit auoir vn <lb/>corps pour eſtre lumineux, & </s> <s xml:id="echoid-s1208" xml:space="preserve">pour é-<lb/>clairer, que de connoiſtre la preparatiõ <lb/>& </s> <s xml:id="echoid-s1209" xml:space="preserve">les diſpoſitions qui ſont requiſes <lb/>dans vn corps pour eſtre animé.</s> <s xml:id="echoid-s1210" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1211" xml:space="preserve">O quel contentement nous receurõs, <lb/>quand nous verrons toutes ccs difficul-<lb/>tez auſſi clairement que la lumiere du <lb/>Solcil, & </s> <s xml:id="echoid-s1212" xml:space="preserve">que nous joüirons de ce que <lb/>nous eſperons icy, toutes & </s> <s xml:id="echoid-s1213" xml:space="preserve">quantes-<lb/>fois que nous diſons, In lumine tuo vide-<lb/>bimus lumen.</s> <s xml:id="echoid-s1214" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div40" type="section" level="1" n="39"> <head xml:id="echoid-head58" xml:space="preserve"><emph style="sc">Qvestion</emph> XIIII.</head> <head xml:id="echoid-head59" style="it" xml:space="preserve">D´<unsure/>où vient que la plus grande partie des <lb/>bommes preferent l’argent, & le lucre <lb/>à la ſcience, & à l’bonneſteté.</head> <p> <s xml:id="echoid-s1215" xml:space="preserve">IL eſt, ce ſemble, bien difficile d’ex-<lb/>pliquer la vraye raiſon de ce Pheno- <pb o="70" file="00089" n="88" rhead="Queſtions Pbyſiques,"/> mene Moral, dautant que les hom-<lb/>mes eſtant raiſonnables, il n’eſt pas aiſé <lb/>de s’imaginer pourquoy ils ne ſuiuent <lb/>pas la raiſon, attendu q<unsure/>u´ils n’ont tien <lb/>de plus excellent qu’elle: </s> <s xml:id="echoid-s1216" xml:space="preserve">or elle enſei-<lb/>gne que l honneſteté & </s> <s xml:id="echoid-s1217" xml:space="preserve">la vertu ſont <lb/>preferables aux richefſes, p<unsure/>arce qu’elles <lb/>appartiennent à l’eſprit, qui eſt plus <lb/>noble quele corps. </s> <s xml:id="echoid-s1218" xml:space="preserve">Et l’on ne rencon-<lb/>tre point d’hommes qui ne proteſtent <lb/>qu ï<unsure/>ls veulent ſuiure la raiſon, & </s> <s xml:id="echoid-s1219" xml:space="preserve">qui ne <lb/>croyenr l’auoir de leur coſté en tout ce <lb/>qu’ils f<unsure/>ont, & </s> <s xml:id="echoid-s1220" xml:space="preserve">cn ce qu’ils diſent. </s> <s xml:id="echoid-s1221" xml:space="preserve">C´<unsure/>eſt <lb/>pourquoy il faut conclure que tous ne <lb/>c<unsure/>royent pas que la ve<unsure/>rtu ſoit meilleute <lb/>que les richeſſes, ni que les ſciences <lb/>vaillent mienx<unsure/> que l’argent: </s> <s xml:id="echoid-s1222" xml:space="preserve">de ſorte <lb/>qu’il eſt neceſſaire de leur perſuader <lb/>ce<unsure/>tte ve<unsure/>rité, & </s> <s xml:id="echoid-s1223" xml:space="preserve">de la leur demonſtrer <lb/>c<unsure/>uidemment, pour la lc<unsure/>ur faire embraſ-<lb/>ſer. </s> <s xml:id="echoid-s1224" xml:space="preserve">Et s’il s’en rencontre qui le croyent, <lb/>& </s> <s xml:id="echoid-s1225" xml:space="preserve">qui neantmoins recherchent les ri-<lb/>cheſſes auec plus de paſſion & </s> <s xml:id="echoid-s1226" xml:space="preserve">d’ar-<lb/>de<unsure/>ur que les ſciences & </s> <s xml:id="echoid-s1227" xml:space="preserve">la vertu, il <lb/>faut dire que la paſſion les aueugle, ou <lb/>qu elle a plus de puiſſance ſur eux que <lb/>larai<unsure/>ſon.</s> <s xml:id="echoid-s1228" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1229" xml:space="preserve">Ce qui arriue aiſément, parce que <pb o="71" file="00090" n="89" rhead="& Matbematiques."/> la plus grande partie des hommes ſe <lb/>laiſſe emporter aux ſens & </s> <s xml:id="echoid-s1230" xml:space="preserve">à leurs ob-<lb/>jects, & </s> <s xml:id="echoid-s1231" xml:space="preserve">prefere les choſes viſibles aux <lb/>inuiſibt<unsure/>es, & </s> <s xml:id="echoid-s1232" xml:space="preserve">ſi l’on compare le temps <lb/>que l’on employe aux exercices du <lb/>corps qui nous ſont communs auec les <lb/>brutes, l’õ aduoüera qu’il y a plus d hõ-<lb/>mes qui des dix partics de leur vie en <lb/>donnent neuf au corps, qu’il n’y en a <lb/>qui en donnent neufà l’eſprit.</s> <s xml:id="echoid-s1233" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1234" xml:space="preserve">D’ailleurs les ſciencc<unsure/>s eſtant inuiſi-<lb/>bles, comme l’eſprit, dans lequelelles <lb/>font leur reſidence, il faut ſerendre ſpi-<lb/>rituel, ou s’acc@uſtumer aux fonctions <lb/>de l’entendement pour enuiſager leur <lb/>beauté, & </s> <s xml:id="echoid-s1235" xml:space="preserve">pour en apprendre la valeur <lb/>& </s> <s xml:id="echoid-s1236" xml:space="preserve">l’excellen c; </s> <s xml:id="echoid-s1237" xml:space="preserve">quoy qu’elles ne ſoient <lb/>pas capables de faire vn hõneſte hom-<lb/>me, ſi quant & </s> <s xml:id="echoid-s1238" xml:space="preserve">quant il n’eſt vertueux: <lb/></s> <s xml:id="echoid-s1239" xml:space="preserve">car la principale partie de l’honneſteté <lb/>conſiſte dans la vertu, & </s> <s xml:id="echoid-s1240" xml:space="preserve">particuliere-<lb/>ment dans celle qui nous vnit plus puiſ-<lb/>ſamment à Dieu, qui eſt la ſource & </s> <s xml:id="echoid-s1241" xml:space="preserve">la <lb/>fontaine de toute ſortc<unsure/> d honneſtcté <lb/>& </s> <s xml:id="echoid-s1242" xml:space="preserve">de veitu.</s> <s xml:id="echoid-s1243" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1244" xml:space="preserve">D’o<unsure/>ù il eſt aiſé d’inferer que les ſça-<lb/>uans ſont grandement oblige<unsure/>z à la di-<lb/>uine Prouidence, qui les a mis dans vn <pb o="72" file="00091" n="90" rhead="Queſtions Pbyſiques,"/> eſtage plus releué que celuy des igno-<lb/>rans & </s> <s xml:id="echoid-s1245" xml:space="preserve">qui leur a preparé vn eſtat dans <lb/>ce monde, qui approche de celuy des <lb/>Anges, afin qu’en vſant des lumieres <lb/>qu´<unsure/>ils ont, ils enſeignent les auttes & </s> <s xml:id="echoid-s1246" xml:space="preserve"><lb/>attirent tout le monde à Dieu, pour <lb/>qui ſeul nous deuõs tous viure & </s> <s xml:id="echoid-s1247" xml:space="preserve">mou-<lb/>rir, ſuiuant les deux beaux mots de l A. <lb/></s> <s xml:id="echoid-s1248" xml:space="preserve">poſtre, mibi viuere Chriſtus @ſt, & </s> <s xml:id="echoid-s1249" xml:space="preserve">mo<unsure/>ri <lb/>lucrum.</s> <s xml:id="echoid-s1250" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div41" type="section" level="1" n="40"> <head xml:id="echoid-head60" xml:space="preserve">COROLLAIRE. I.</head> <p> <s xml:id="echoid-s1251" xml:space="preserve">Les ſçauans ont de grands auantáges <lb/>ſur les ignorans, s’ils s’en veulent pre-<lb/>ualoir, car eſtãt deſia de<unsure/>tac<unsure/>hez des ſens, <lb/>& </s> <s xml:id="echoid-s1252" xml:space="preserve">des choſes corruptibles, il leur eſt <lb/>beaucoup plus aiſé de s’éleuer, & </s> <s xml:id="echoid-s1253" xml:space="preserve">de <lb/>s<unsure/>‘vnir à Dieu, tant par conformité de <lb/>leur volõté aucc la ſienne, que de leurs <lb/>ſpeculations auec les penſees diuines, <lb/>à l imitation de pluſieurs excellens & </s> <s xml:id="echoid-s1254" xml:space="preserve"><lb/>Saiincts perſonnages, qui vſent de cer-<lb/>taines prieres fort c<unsure/>ourtes, qui leur ſer-<lb/>uent de memorial po<unsure/>ur eſtre perpe-<lb/>tuellement attentifs à la preſence de <lb/>Dieu, comme quand S. </s> <s xml:id="echoid-s1255" xml:space="preserve">Bernard diſoit <lb/>ſiſouuent pour ce ſujet:</s> <s xml:id="echoid-s1256" xml:space="preserve"/> </p> <pb o="73" file="00092" n="91" rhead="& Mathematiques."/> <p style="it"> <s xml:id="echoid-s1257" xml:space="preserve">Ieſu dulcis memoria <lb/>Dans vera cordis gaudia, <lb/>Sed ſupermel<unsure/> & </s> <s xml:id="echoid-s1258" xml:space="preserve">cmnia <lb/>Eius dulcis pra<unsure/>ſentia.</s> <s xml:id="echoid-s1259" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1260" xml:space="preserve">Sainct Auguſtin, amor meus, pondus meũ, <lb/>illuc feror quocunque f@rar, & </s> <s xml:id="echoid-s1261" xml:space="preserve">puis, @g@oſce <lb/>quod tuun @ſt, ignoſce a<unsure/>uoa meum @ſt. </s> <s xml:id="echoid-s1262" xml:space="preserve">Saint <lb/>Bruno, @ boni@as! S. </s> <s xml:id="echoid-s1263" xml:space="preserve">François d’ Aſſiſe, <lb/>Deus meus & </s> <s xml:id="echoid-s1264" xml:space="preserve">omnia: </s> <s xml:id="echoid-s1265" xml:space="preserve">S. </s> <s xml:id="echoid-s1266" xml:space="preserve">Françoiis de Pau-<lb/>le, charitas! S. </s> <s xml:id="echoid-s1267" xml:space="preserve">Ignace Martyr, frumen-<lb/>tum Chriſti<unsure/> ſum: </s> <s xml:id="echoid-s1268" xml:space="preserve">& </s> <s xml:id="echoid-s1269" xml:space="preserve">amor meus cruciſixus <lb/>eſt: </s> <s xml:id="echoid-s1270" xml:space="preserve">S. </s> <s xml:id="echoid-s1271" xml:space="preserve">Ignace de Loyla, ſordeſcit mihi <lb/>terra, quando aſpicio cœ!um: </s> <s xml:id="echoid-s1272" xml:space="preserve">S. </s> <s xml:id="echoid-s1273" xml:space="preserve">Xauier, <lb/>ſatis eſt domine, ſatis eſt: </s> <s xml:id="echoid-s1274" xml:space="preserve">S. </s> <s xml:id="echoid-s1275" xml:space="preserve">Thereſe, <lb/>ternum benè, aternum malè; </s> <s xml:id="echoid-s1276" xml:space="preserve">& </s> <s xml:id="echoid-s1277" xml:space="preserve">vne autre, <lb/>tr@p eſt auare à qui Dieu ne ſufſit: </s> <s xml:id="echoid-s1278" xml:space="preserve">le Pro-<lb/>phete Royal, quàm dilecta tabernacula <lb/>tua domine virtutum, concupiſcit, & </s> <s xml:id="echoid-s1279" xml:space="preserve">defecit <lb/>anima mea in atria Domini; </s> <s xml:id="echoid-s1280" xml:space="preserve">& </s> <s xml:id="echoid-s1281" xml:space="preserve">puis, quàm <lb/>bonus Iſraël Deus bis qui recto ſunt corde: <lb/></s> <s xml:id="echoid-s1282" xml:space="preserve">vn autre, O Seigneur mon Dieu que tu es<unsure/> <lb/>grand en toute grandeur. </s> <s xml:id="echoid-s1283" xml:space="preserve">A quoy l’õ peut <lb/>rapporterles dernieres paroles, par leſ-<lb/>quelles pluſieurs ont finy leur vie, com-<lb/>me celles de lean Gerſon, ô Deus ! for-<lb/>tis eſt vt mors dilectio tua, qu’il diſt en <lb/>mourant, apres auoir expliqué les 50. </s> <s xml:id="echoid-s1284" xml:space="preserve"><lb/>propr ietez de l’amour diuin.</s> <s xml:id="echoid-s1285" xml:space="preserve"/> </p> <pb o="74" file="00093" n="92" rhead="Queſtions Phyſiques,"/> <p> <s xml:id="echoid-s1286" xml:space="preserve">Saint Louis Roy de France mourut <lb/>en diſant, Introibo in domum tuam, adora-<lb/>bo ad Templum ſanctum tuum, & </s> <s xml:id="echoid-s1287" xml:space="preserve">conſitebor <lb/>nomini tuo: </s> <s xml:id="echoid-s1288" xml:space="preserve">S. </s> <s xml:id="echoid-s1289" xml:space="preserve">Thomas d Aquin en di-<lb/>ſant, veni dilecte mi, egrediamur in agrũ: <lb/></s> <s xml:id="echoid-s1290" xml:space="preserve">S. </s> <s xml:id="echoid-s1291" xml:space="preserve">François en diſant, Educ de cuſtodia <lb/>animam meam ad conſitendum nomini tuo, <lb/>me expectant iuſti donec retribuas mibi. </s> <s xml:id="echoid-s1292" xml:space="preserve"><lb/>S. </s> <s xml:id="echoid-s1293" xml:space="preserve">Xauier en diſant, ô Ieſus Dicu de mon <lb/>cœur, S. </s> <s xml:id="echoid-s1294" xml:space="preserve">Baſile en diſant auec pluſieurs <lb/>autres, & </s> <s xml:id="echoid-s1295" xml:space="preserve">meſme auec noſtre Sauueur, <lb/>in manus tua Domine commendo ſpiritum <lb/>meum: </s> <s xml:id="echoid-s1296" xml:space="preserve">feu Monſieur Gamache, & </s> <s xml:id="echoid-s1297" xml:space="preserve">an-<lb/>nos aterno in mente ſemper habebo, & </s> <s xml:id="echoid-s1298" xml:space="preserve">S. </s> <s xml:id="echoid-s1299" xml:space="preserve"><lb/>François de Paule, O Domine Ieſu Chri-<lb/>ſte, P aſtor bone, iuſtos conſerua, peccatores iu-<lb/>ſtiſica, & </s> <s xml:id="echoid-s1300" xml:space="preserve">omnibus defunctis miſerere, & </s> <s xml:id="echoid-s1301" xml:space="preserve"><lb/>propitius eſto mibi miſerrimo peccatori: </s> <s xml:id="echoid-s1302" xml:space="preserve">qui <lb/>furent les dernieres paroles de ce grand <lb/>Sainct.</s> <s xml:id="echoid-s1303" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div42" type="section" level="1" n="41"> <head xml:id="echoid-head61" xml:space="preserve">COROLLAIRE. II.</head> <p> <s xml:id="echoid-s1304" xml:space="preserve">L’on peut dire que l’on prefere l’ar-<lb/>gent & </s> <s xml:id="echoid-s1305" xml:space="preserve">les autres biens à la ſcience, <lb/>parce qu’il eſt plus aiſé d’acquerir celle-<lb/>cy par le moyen de ceux là, que d’ac-<lb/>querir les biens par la ſcience. </s> <s xml:id="echoid-s1306" xml:space="preserve">Et puis <pb o="75" file="00094" n="93" rhead="& Mathematiques."/> l’argent eſt plus neceſſaire, à la vie hu-<lb/>maine, or t@@ute la nature embraſſe <lb/>premierement, & </s> <s xml:id="echoid-s1307" xml:space="preserve">auec plus d’ardeur <lb/>ce qui luy eſt neceſſaire que ce qui ne <lb/>luy ſert que d’ornement. </s> <s xml:id="echoid-s1308" xml:space="preserve">A quoy il faut <lb/>adjouſter qu’il n’y a rien qui plaiſe da-<lb/>uantage aux hommes que la bonne re-<lb/>putation, & </s> <s xml:id="echoid-s1309" xml:space="preserve">le bon accueil qu’ils reçoi-<lb/>uent dans toutes ſortes de compagnies: <lb/></s> <s xml:id="echoid-s1310" xml:space="preserve">ce qui leur arriue quãd ils ont cinquan-<lb/>te mille liures de tente, quoy qu’ils ne <lb/>ſçachent rien, & </s> <s xml:id="echoid-s1311" xml:space="preserve">qu’ils n’ayent nulle <lb/>vertu quiles rende recommandables: </s> <s xml:id="echoid-s1312" xml:space="preserve"><lb/>au lieu que les plus ſçauans qui ſe puiſ-<lb/>ſent rencontrer ſont mépriſez, & </s> <s xml:id="echoid-s1313" xml:space="preserve">n’ont <lb/>nul accez dãs les grandes compagnies, <lb/>dans leſquelles ils ſont aſſez ſouuent <lb/>mal traitez, de ſorte qu’ils ſont con-<lb/>traints de ſe contenter d’vne crouſte <lb/>de pain, tandis que les autres vſent des <lb/>mets le’ plus exquis.</s> <s xml:id="echoid-s1314" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1315" xml:space="preserve">D’où il eſt aiſé de conclurre, qu’ils <lb/>ont beſoin d’vne grande patiĕce qu’ils <lb/>peuuĕt acquerir par vne parfaite ſoub-<lb/>miſſion à la prouidence de Dieu, & </s> <s xml:id="echoid-s1316" xml:space="preserve">par <lb/>vne entiere reſignatiõ de tout ce qu’ils <lb/>ſont, & </s> <s xml:id="echoid-s1317" xml:space="preserve">de tout ce qu’ils peuuent àla <lb/>volonté de celuy qui les contemple <pb o="76" file="00095" n="94" rhead="Queſtions Phyſiques,"/> dans leur pauureté, & </s> <s xml:id="echoid-s1318" xml:space="preserve">qui les aime au-<lb/>tant que les plus riches du monde.</s> <s xml:id="echoid-s1319" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div43" type="section" level="1" n="42"> <head xml:id="echoid-head62" xml:space="preserve"><emph style="sc">Qvestion</emph> XV.</head> <head xml:id="echoid-head63" style="it" xml:space="preserve">Peut-on inuenter, & faire vn mouuement <lb/>perpetuel?</head> <p> <s xml:id="echoid-s1320" xml:space="preserve">CE ſeroit vn grand coup ſi l’on pou-<lb/>uoit déſabuſer tous ceux qui per-<lb/>dent le temps à la recherche du mou-<lb/>uement perpetuel artificiel, qu’ils l’em-<lb/>ployaſſent aux choſes qui sõt poſſibles <lb/>& </s> <s xml:id="echoid-s1321" xml:space="preserve">vtiles; </s> <s xml:id="echoid-s1322" xml:space="preserve">car il n’y a nul doute qu’ils <lb/>reuſſiroient en pluſieurs machines tãt <lb/>pneumatiques, qu’hydiauliques, auſſi <lb/>bien comme font les Chymiſtes en plu-<lb/>ſieurs ſels & </s> <s xml:id="echoid-s1323" xml:space="preserve">eſſences, ſi les vns & </s> <s xml:id="echoid-s1324" xml:space="preserve">les <lb/>autres ne trauailloient iamais à leurs <lb/>inuentions, que la demonſtration ne <lb/>leur euſt fait voir la poſſibilité de l’exe-<lb/>cution. </s> <s xml:id="echoid-s1325" xml:space="preserve">Quant aux Ingenieurs, il eſt <lb/>aiſé de leur perſuader que ce mouue-<lb/>ment eſtimpoſſible, à raiſon que ce qui <lb/>donne le premier branſle aux machi-<lb/>nes, ne peut eſtre meu par elles d’vn <lb/>branſle égal de reciprecation, & </s> <s xml:id="echoid-s1326" xml:space="preserve">que <pb o="77" file="00096" n="95" rhead="& Mathematiques."/> toute ſorte de mouuement violent s’al-<lb/>lentit & </s> <s xml:id="echoid-s1327" xml:space="preserve">diminuë touſiours ſa force <lb/>peu à peu, depuis ſon commencement <lb/>juſques à ſa ſin. </s> <s xml:id="echoid-s1328" xml:space="preserve">Et puis il eſt plus aiſé de <lb/>faire tomber les reſſorts que de les rele-<lb/>uer, & </s> <s xml:id="echoid-s1329" xml:space="preserve">nulle choſe ne p<unsure/>o<unsure/>ut monter plus <lb/>haut que ſa ſource par ſes propres for-<lb/>ces: </s> <s xml:id="echoid-s1330" xml:space="preserve">ce qui arriueroit au mouuement <lb/>perpetuel, qui ne peut eſtre, s’il n’a vn <lb/>principe naturel qui ſubſiſte touſiours <lb/>dans vne égalité, ou qui ſoit plus fort <lb/>que les reſſorts, ou les engins qu’il doit <lb/>mouuoir: </s> <s xml:id="echoid-s1331" xml:space="preserve">car nulle choſe égale n’agit <lb/>ſur ce quiluy eſt égal. </s> <s xml:id="echoid-s1332" xml:space="preserve">C’eſt pourquoy <lb/>il ne ſuffit pas de dire que ce mouue-<lb/>ment perpetuel n’eſt pas poſſible, à rai-<lb/>ſon de la matiere dont on vſe, qui ne <lb/>peut pas touſiours dur<unsure/>er, puiſque les <lb/>raiſons de ſon impoſſibilité ſe prennent <lb/>de plus loin, & </s> <s xml:id="echoid-s1333" xml:space="preserve">que l’incorruptibilitó<unsure/> <lb/>de la matiere ne fait rien à ce ſujet. <lb/></s> <s xml:id="echoid-s1334" xml:space="preserve">Mais l’on ne peut pas monſtrer en par-<lb/>ticulier en quoy manque chaque inuĕ-<lb/>tïon, ſi l’on ne rapporte toutes les figu. </s> <s xml:id="echoid-s1335" xml:space="preserve"><lb/>res & </s> <s xml:id="echoid-s1336" xml:space="preserve">tous les deſſeins des differentes <lb/>machines que l’on a trouuées, ou qui ſe <lb/>peuuent rencontrer, affin d’en expli-<lb/>quer les defauts: </s> <s xml:id="echoid-s1337" xml:space="preserve">car l’vn manque à la <pb o="78" file="00097" n="96" rhead="Queſtions Phyſiques,"/> force de l’eau, l’autre à la connoiſſance <lb/>de l’air ou à celle de la force qu’ont les <lb/>poids ſo<unsure/>r chaque plan incliné: </s> <s xml:id="echoid-s1338" xml:space="preserve">mais <lb/>quoy qu’ilen ſoit, l õ en decouure touſ-<lb/>jours l’erreur, encore que cela ne ſe faſ-<lb/>ſe pas touſiours ſans peine, & </s> <s xml:id="echoid-s1339" xml:space="preserve">ſans des <lb/>labeurs qui ſont quelquefois treſ-en-<lb/>nuicux. </s> <s xml:id="echoid-s1340" xml:space="preserve">L’on tient que Cornelius <lb/>Drebel a trouué vne liqueur qu’il en-<lb/>ferme dans vn canal circulaire de ver-<lb/>re, par la quelle il repreſente le flux & </s> <s xml:id="echoid-s1341" xml:space="preserve"><lb/>le reflux de la mer, & </s> <s xml:id="echoid-s1342" xml:space="preserve">le mouuement <lb/>perpetuel: </s> <s xml:id="echoid-s1343" xml:space="preserve">il eſt aiſé d’experimenter ſi <lb/>l’eau de la mer enfermée dans vn an-<lb/>neau de verre retient le mouuemĕt de <lb/>I’Ocean, & </s> <s xml:id="echoid-s1344" xml:space="preserve">de iuger ſi vn tel mouue-<lb/>ment peut ſeruir aux mouuemens per-<lb/>petuels des machines, c’eſt pourquoy <lb/>ie n’en parle pas dauantage</s> </p> <p> <s xml:id="echoid-s1345" xml:space="preserve">I’adiouſte ſeulement qu’il faudroit <lb/>eſſaier à remarquer ſi la mer a quelque <lb/>repos entre ſon flux & </s> <s xml:id="echoid-s1346" xml:space="preserve">ſon reflux, com-<lb/>me l’on tient qu’il y a vn point, ou vn <lb/>moment de repos entre le mouuement <lb/>droit & </s> <s xml:id="echoid-s1347" xml:space="preserve">le reflechi, & </s> <s xml:id="echoid-s1348" xml:space="preserve">cõbien dure ce re-<lb/>pos, & </s> <s xml:id="echoid-s1349" xml:space="preserve">quelle force a chaque flot, pour <lb/>faire mouuoir des machines. </s> <s xml:id="echoid-s1350" xml:space="preserve">L’on <lb/>peut dire la meſme choſe des ondes de <pb o="79" file="00098" n="97" rhead="& Mathematiques."/> l’air, ou du vent, quoy qu’il ſoit beau-<lb/>coup plus difficile d’en reconnoiſtre les <lb/>flux & </s> <s xml:id="echoid-s1351" xml:space="preserve">les reflux, parce qu’ils ne ſont <lb/>pas viſibles comme ceux de la mer.</s> <s xml:id="echoid-s1352" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1353" xml:space="preserve">Or ceux qui deſirĕt de ſe perfection-<lb/>ner, peuuent s’eſtudier à reconnoiſtre <lb/>les flots, & </s> <s xml:id="echoid-s1354" xml:space="preserve">le flux & </s> <s xml:id="echoid-s1355" xml:space="preserve">reflux du Sang & </s> <s xml:id="echoid-s1356" xml:space="preserve"><lb/>des paſſiõs qui affectent le coeur, & </s> <s xml:id="echoid-s1357" xml:space="preserve">des <lb/>affections qui agitent l’eſprit d’vn mou-<lb/>uement continuel, afin d’en vſer ſeule-<lb/>ment, ou principalement pour faire <lb/>mouuoir les reſſorts qui donnent le <lb/>mouuement aux vertus, & </s> <s xml:id="echoid-s1358" xml:space="preserve">d’arriuer <lb/>par leur moyen au lieu, où le mouue-<lb/>ment perpetuel de l’ame & </s> <s xml:id="echoid-s1359" xml:space="preserve">de la raiſon <lb/>eſt dans le repos perpetuel, ſuiuant ce <lb/>beau mot de l’Egliſe, in labore requies, in <lb/>aſtu temperies, in fletu ſolatium; </s> <s xml:id="echoid-s1360" xml:space="preserve">ô lux bea-<lb/>tiſsima reple cordis intima tuorum fidelium.</s> <s xml:id="echoid-s1361" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div44" type="section" level="1" n="43"> <head xml:id="echoid-head64" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s1362" xml:space="preserve">Si l’on pouuoit connoiſtre euidem-<lb/>ment le reſſort qui donne le mouue-<lb/>ment perpetuelau coeur, & </s> <s xml:id="echoid-s1363" xml:space="preserve">quile fait <lb/>élargir & </s> <s xml:id="echoid-s1364" xml:space="preserve">reſtreſſir, ie ne doute nulle-<lb/>ment que l’on arriueroit à vne grande <lb/>connoiſſance de la Diuinité, & </s> <s xml:id="echoid-s1365" xml:space="preserve">que, l’on <pb o="80" file="00099" n="98" rhead="Queſtions Phyſiques,"/> receuroit vn contentement treſ-parti-<lb/>culier; </s> <s xml:id="echoid-s1366" xml:space="preserve">ce qu’il faut eſtendre aux reſ-<lb/>ſorts qui font mouuoir toutes les par-<lb/>ties des plantes, & </s> <s xml:id="echoid-s1367" xml:space="preserve">qui tranſportent la <lb/>roſée & </s> <s xml:id="echoid-s1368" xml:space="preserve">la pluye depuis le pied des ar-<lb/>bres iuſques au haut des brãches, pour <lb/>les conuertir en moüelle, en bois, en eſ-<lb/>corce, en fibres, en fleurs, & </s> <s xml:id="echoid-s1369" xml:space="preserve">en fruits. <lb/></s> <s xml:id="echoid-s1370" xml:space="preserve">Car c’eſt vne choſe capable de rauir <lb/>tous les hommes, lors que l’on conſide-<lb/>re que le petit artiſan qui eſt dans cha-<lb/>que plante, & </s> <s xml:id="echoid-s1371" xml:space="preserve">dans ch@que animal, <lb/>trãſporte la viande dans toutes les pat-<lb/>tie, ſans aucuns engins, gruës, mouf. </s> <s xml:id="echoid-s1372" xml:space="preserve"><lb/>fles, & </s> <s xml:id="echoid-s1373" xml:space="preserve">poulies, & </s> <s xml:id="echoid-s1374" xml:space="preserve">qu’il l’arrange auec <lb/>tant d’adreſſe dans chaque lieu, depuis <lb/>le bout des pieds iuſques au haut de la <lb/>teſte, qu’elle ne peut plus eſtre diſtin-<lb/>guée d’auec les parties du corps.</s> <s xml:id="echoid-s1375" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1376" xml:space="preserve">Certes, puis qu’il n’y a nulle induſtrie <lb/>humaine qui puiſſe faire cela, ni qui <lb/>puiſſe former de tels automates, il faut <lb/>neceſſairement auoüer que l’artiſan <lb/>qui trauaille à cet ouurage, eſt plus ex-<lb/>cellent que tous les hommes, & </s> <s xml:id="echoid-s1377" xml:space="preserve">que <lb/>c’eſt à luy ſeul qu’il appaitient de faire <lb/>des mouuemens perpetuels, de ſorte <lb/>qu’il n’y a rien de viuant qui ne nous <pb o="81" file="00100" n="99" rhead="& Mathematiques."/> monſtre la preſence de Dieu, agiſſant <lb/>touſiours en toutes choſes, & </s> <s xml:id="echoid-s1378" xml:space="preserve">quine <lb/>nous exhorte à nous écrier auec le Pſal-<lb/>miſte, mira<unsure/>bilis facta eſt ſo<unsure/>ientia tua ex me, <lb/>confortata eſt, & </s> <s xml:id="echoid-s1379" xml:space="preserve">non pote<unsure/>ro adeam.</s> <s xml:id="echoid-s1380" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div45" type="section" level="1" n="44"> <head xml:id="echoid-head65" xml:space="preserve"><emph style="sc">Qvestion</emph> XVI.</head> <head xml:id="echoid-head66" style="it" xml:space="preserve">La quadrature du cercle eſt-clle imp@ſiblc?</head> <p> <s xml:id="echoid-s1381" xml:space="preserve">CEſte queſtion eſt extremement <lb/>difficile, car l’on trouue d’excel-<lb/>lens Geometres quitiennent qu’il n’eſt <lb/>pas poſſible de trouuer vn quarré, dont <lb/>la ſurface ſoit égale à celle du cercle, <lb/>& </s> <s xml:id="echoid-s1382" xml:space="preserve">d’autres qui tiennent le contraire: <lb/></s> <s xml:id="echoid-s1383" xml:space="preserve">parce que les premiers croyent que l’on <lb/>ne peut arriuer à @ette connoiſſance, à <lb/>raiſon quenous n’auons nuls principes <lb/>qui y meinent, & </s> <s xml:id="echoid-s1384" xml:space="preserve">que ce probleme ap-<lb/>partenant aux lieux plans ne peut eſtre <lb/>reſolu par le peu de connoiſſance que <lb/>nous ont laiſſé les anciens Geometres.</s> <s xml:id="echoid-s1385" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1386" xml:space="preserve">Mais lesautres conſiderants qu’ Ar-<lb/>chimede a demonſtré la quadrature de <lb/>la parabole, croyent que l’on peut auſſi <lb/>trouuer celle du cercle, puis que la ſur- <pb o="82" file="00101" n="100" rhead="Queſtions Phyſiques,"/> face de ladite parbole eſt auſſi bien <lb/>enu<unsure/>ironnée d’vne ligne courbe d’vn <lb/>coſté, que le demy cercle. </s> <s xml:id="echoid-s1387" xml:space="preserve">Or l’on de-<lb/>monſtre que le plan, ou l’aire de la pa-<lb/>rabole eſt plus grande d’vn tiers, quele <lb/>triangle, quia meſme hautcur & </s> <s xml:id="echoid-s1388" xml:space="preserve">meſ-<lb/>me baſe que ladite parabole. </s> <s xml:id="echoid-s1389" xml:space="preserve">Ce qu’ Ar-<lb/>chimcde a prouué par ce theoreme: <lb/></s> <s xml:id="echoid-s1390" xml:space="preserve">l’exi<unsure/>ez par lequ@l le plus grand eſpacc ſur-<lb/>paſſe le moindre pen<unsure/>t @ſtre multiplié, ou com-<lb/>posé tant de fois qu’il ſurpaſſera toute autre <lb/>ſorte d’eſpace donné. </s> <s xml:id="echoid-s1391" xml:space="preserve">Mais ie traiteray plus <lb/>amplemĕt des vtilitez de cette ſection <lb/>parabolique dans la 19. </s> <s xml:id="echoid-s1392" xml:space="preserve">queſtion. </s> <s xml:id="echoid-s1393" xml:space="preserve">Il <lb/>ſuffit maintenant de remarquer que le <lb/>triangle, ou le quarré, que l’on dit luy <lb/>eſtre égal, n’a pas ſon circuit égal à ce-<lb/>lu<unsure/>y de la parabole, auquel on ne ſçau-<lb/>roit donner vne ligne droite égale, non <lb/>plus qu’au cercle: </s> <s xml:id="echoid-s1394" xml:space="preserve">de ſorte qu’il faut en-<lb/>tendre cette égalité des capacitez de <lb/>leurs figurc<unsure/>s. </s> <s xml:id="echoid-s1395" xml:space="preserve">Quant à la quadrature <lb/>du cercle, nul n’a encore demonſtré <lb/>qu’elle ſoit poſſible, ou impoſſible; </s> <s xml:id="echoid-s1396" xml:space="preserve">ce <lb/>qui donne occaſion à pluſieurs de ne <lb/>perdre pas l’eſperance de la pouuoir <lb/>rencontrer.</s> <s xml:id="echoid-s1397" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1398" xml:space="preserve">Or les moyens qui ont ſeruy à trou- <pb o="83" file="00102" n="101" rhead="& Mathematiques."/> uer celle de la parabole, ne peuuĕt ſer-<lb/>uir au cercle:</s> <s xml:id="echoid-s1399" xml:space="preserve"><unsure/> & </s> <s xml:id="echoid-s1400" xml:space="preserve">nuln’a trouué la qua-<lb/>drature de l’hvperbole, & </s> <s xml:id="echoid-s1401" xml:space="preserve">de l’cllipſe, <lb/>de ſorte quelecercle n’eſt pas ſeul ſans <lb/>qua<unsure/>drature, & </s> <s xml:id="echoid-s1402" xml:space="preserve">l’on peut donner vne in-<lb/>finité de lignes courbes, dontles capa-<lb/>citez ne peuuent eſtre quarrées par les <lb/>Geometres: </s> <s xml:id="echoid-s1403" xml:space="preserve">quoy queie ne doute nul-<lb/>lement que les Anges n’en ſçachent <lb/>le moyen.</s> <s xml:id="echoid-s1404" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div46" type="section" level="1" n="45"> <head xml:id="echoid-head67" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s1405" xml:space="preserve">Il vaut beaucoup mieux ſappliquer <lb/>aux parties de la Geometrie, qui ſont <lb/>vtiles, & </s> <s xml:id="echoid-s1406" xml:space="preserve">dans leſquelles on peut de-<lb/>monſrer pluſieurs excellĕs theoremes, <lb/>qu’á ces quadratures; </s> <s xml:id="echoid-s1407" xml:space="preserve">quoy que l’õ die <lb/>que quelques- vns ont trouué des veri-<lb/>tez treſ-excellentes en les cherchant, <lb/>cõme il arriue que les Chymiſtes trou-<lb/>uĕt de beaux ſecrets par hazard en cher <lb/>chant la pierre Phyſique. </s> <s xml:id="echoid-s1408" xml:space="preserve">Or l’on peut <lb/>voir pluſieurs autres choſes de la qua-<lb/>drature du cercle, & </s> <s xml:id="echoid-s1409" xml:space="preserve">de la proportion <lb/>des polygones qui luy ſont<unsure/> inſcrits, & </s> <s xml:id="echoid-s1410" xml:space="preserve"><lb/>circonſcrits, dans le 6. </s> <s xml:id="echoid-s1411" xml:space="preserve">chapitre du 4. <lb/></s> <s xml:id="echoid-s1412" xml:space="preserve">liure de la Verité des ſciences, dansle <pb o="84" file="00103" n="102" rhead="Queſtions Phyſiques,"/> Cyclometre de Snellius, & </s> <s xml:id="echoid-s1413" xml:space="preserve">dans plu-<lb/>ſieurs autres lieux.</s> <s xml:id="echoid-s1414" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div47" type="section" level="1" n="46"> <head xml:id="echoid-head68" xml:space="preserve">COROLLAIRE II.</head> <p> <s xml:id="echoid-s1415" xml:space="preserve">Encore que l’on euſt trouué geome-<lb/>triquema<unsure/>nt la quadrature du cercle, <lb/>neantmoins ellene ſeroit pas plus iuſte, <lb/>& </s> <s xml:id="echoid-s1416" xml:space="preserve">ne ſeruiroi@ pas dauantage que celle <lb/>dont vſe mec<unsure/>haniquement, carl’on ap-<lb/>proche ſi prés de la iuſteſſe, qu’il nes’en <lb/>faut pas la cent millicſme partie d’vne <lb/>ligne que le quarréne ſoit égalau cer-<lb/>cle, encore que ſon diametre ſoit cent <lb/>fois plus grand que celuy du Ciel des <lb/>eſtoiles. </s> <s xml:id="echoid-s1417" xml:space="preserve">Or peut eſtre que la demon-<lb/>ſtration de la vraye quadrature ſe peut <lb/>trouuer par le moyen deslignes, & </s> <s xml:id="echoid-s1418" xml:space="preserve">des <lb/>ſections Coniques, puis qu’elles ont <lb/>ſerui à demonſtrer la triſection de l’an-<lb/>gle, & </s> <s xml:id="echoid-s1419" xml:space="preserve">la duplication du Cube.</s> <s xml:id="echoid-s1420" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div48" type="section" level="1" n="47"> <head xml:id="echoid-head69" xml:space="preserve"><emph style="sc">Qvestion</emph> XVII.</head> <head xml:id="echoid-head70" style="it" xml:space="preserve">Les Taliſmans, & les metaux, on les autres <lb/>corps que l’on grane pour attirer les <lb/>influences du C<unsure/>ie<unsure/>l, ont ils quelque <lb/>veri<unsure/>n particuliere?</head> <p> <s xml:id="echoid-s1421" xml:space="preserve">AVant que de reſpondre à la diffi-<lb/>culté, il faut remarquer que le <pb o="85" file="00104" n="103" rhead="& Mathematiques."/> mot Taliſman, ſignifie vne lame d’or, <lb/>d’argent, de cuiure, de plomb, ou d’au-<lb/>tre matiere, ſur laquellc on graue quel-<lb/>que figure, ou image, ſoit d’vn lion, <lb/>d’vn taureau, d’vn ſerpent, de lupiter, <lb/>de Mars, ou de telle autre choſe que <lb/>l’on veut, ſelon le dcſſein que l on a, <lb/>pourattirer les influĕces du Ciel, com-<lb/>me ſi la figure de Mars, on de Iupiter <lb/>graué dans l’eſtain, ou dans lefer de-<lb/>uoit attirer la vertu de ces denx planet-<lb/>tes. </s> <s xml:id="echoid-s1422" xml:space="preserve">Ce qui eſt ſi ridiculo<unsure/>, & </s> <s xml:id="echoid-s1423" xml:space="preserve">ſi incpte <lb/>qu’il n’y a plus que les vieilles, & </s> <s xml:id="echoid-s1424" xml:space="preserve">les <lb/>trop credules qui ne s’cn moqucnt cõ-<lb/>me d’vne pure fable: </s> <s xml:id="echoid-s1425" xml:space="preserve">car outre que l’ex-<lb/>perience fait voir que ces graue<unsure/>ures & </s> <s xml:id="echoid-s1426" xml:space="preserve"><lb/>ces figures n’ont nulle forc<unsure/>e, ou aptitu-<lb/>de pour determiner & </s> <s xml:id="echoid-s1427" xml:space="preserve">pour attirer les <lb/>vertus des Aſtres, la r<unsure/>aiſon y repugne <lb/>entierement, qui meſme perſuade que <lb/>les aſtres n’õt pas la force, ni les influen-<lb/>ces qu’õ leur attribuë, car chaque aſtre <lb/>n’a point d’autre force ſur nous que cel-<lb/>le qu’il exer<unsure/>ce auec ſa lumic<unsure/>re, & </s> <s xml:id="echoid-s1428" xml:space="preserve">ſa <lb/>chaleur; </s> <s xml:id="echoid-s1429" xml:space="preserve">de ſorte que ſi l’on diſpo-<lb/>ſoit autant de chandellcs autour de <lb/>la terre, comme il y a d’eſtoiles au <lb/>Ciel, dont elle fuſt auſſi illuminéc, &</s> <s xml:id="echoid-s1430" xml:space="preserve"> <pb o="86" file="00105" n="104" rhead="Queſtions Phyſiques,"/> échauffée, comme elle eſt par leſdi-<lb/>tes e<unsure/>ſtoile@, nous ſe<unsure/>ntirions les meſmes <lb/>influences; </s> <s xml:id="echoid-s1431" xml:space="preserve">& </s> <s xml:id="echoid-s1432" xml:space="preserve">ſiles chandelles luiſoient <lb/>plus fort,<unsure/> leurs in fluences ſeroient plus <lb/>fortes que celles des eſtoiles, qu’il ne <lb/>faut pas ſ’imaginer auoir ſeulemĕt eſté <lb/>crées pour la terre, mais pour pluſicurs <lb/>autres raiſons que Dicu s´eſt reſeruées, <lb/>& </s> <s xml:id="echoid-s1433" xml:space="preserve">que nou@ connoiſtrons au Ciel.</s> <s xml:id="echoid-s1434" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1435" xml:space="preserve">Il faut eſtre merueilleuſement cre-<lb/>dule pour ſe perſuader que des figures <lb/>écrites, peintes, ou grauées dans telle <lb/>matiere que l’on voudra, & </s> <s xml:id="echoid-s1436" xml:space="preserve">ſouz telle <lb/>conſtella<unsure/>tion que l’on choiſira, ayent <lb/>la puiſſance de chaſſer les beſtes<unsure/> vene-<lb/>neuſes ſoit que les Hebreux, les Chal-<lb/>deans, & </s> <s xml:id="echoid-s1437" xml:space="preserve">les Grecs en ayent vſé ( com-<lb/>me tiennent ceux quitirent la diction <lb/>Taliſman du Tſele<unsure/>n, ou de Ttſati<unsure/>man ou <lb/>de Tſilme<unsure/>@ia<unsure/> ou du τι<unsure/>´λεπ<unsure/>μα, des Grecs, <lb/>& </s> <s xml:id="echoid-s1438" xml:space="preserve">qui diſent que le Grec ζαχεĩα, & </s> <s xml:id="echoid-s1439" xml:space="preserve">le <lb/>Magne@. </s> <s xml:id="echoid-s1440" xml:space="preserve">He<unsure/>braïque ſignifient la meſme <lb/>choſe ) & </s> <s xml:id="echoid-s1441" xml:space="preserve">que les anciens s’en ſoient <lb/>ſeruis pour leurs Dieux Tutelaires, & </s> <s xml:id="echoid-s1442" xml:space="preserve"><lb/>pour mettre<unsure/>à ´<unsure/>a proüe de leurs nauires, <lb/>afin d’empeſcher la tempeſte, apres les <lb/>auoir grauées, & </s> <s xml:id="echoid-s1443" xml:space="preserve">dreſſées ſouzle ſigne <lb/>des poiſſons, ou que toutes les hiſtoires <pb o="87" file="00106" n="105" rhead="& Mathematiques."/> que l’on en rapporte ſoient fauſſes, car <lb/>ceux qui ont experimenté la grande <lb/>multitude des fauſſetez qui ſont dans <lb/>les hiſtoriens, qui parlent des pierres, <lb/>des plantes, ou des autres choſes natu-<lb/>relles, ou artificielles, & </s> <s xml:id="echoid-s1444" xml:space="preserve">meſme dans <lb/>les écrits des Philoſophes, qui ne de-<lb/>uroient rien écrire que de bien aſſe<unsure/>uré, <lb/>ne doiuent pas ſelaiſſer ſurprendre par <lb/>les diſcours<unsure/> fabuleux que l’on lit de la <lb/>force des caracteres, & </s> <s xml:id="echoid-s1445" xml:space="preserve">des Taliſmans <lb/>dans Albert, Cardan, Galeotus, Para-<lb/>celſe, Ficin, Crollius, & </s> <s xml:id="echoid-s1446" xml:space="preserve">ailleurs.</s> <s xml:id="echoid-s1447" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1448" xml:space="preserve">Mais il n’eſt pa<unsure/>s neceſſaire d’auertir <lb/>les ſçauãs de ces erreurs, puis qu’ils ſont <lb/>aſſez ſages pour ne cro@erien<unsure/> de tous <lb/>ces contes, s’ils ni ſont forcez par l’ex-<lb/>perience, qui nous découure touſiours <lb/>la fauſſeté de pluſieurs choſes, quoy <lb/>qu’on les aye tenuës iuſques à preſent <lb/>pour treſ- veritables, & </s> <s xml:id="echoid-s1449" xml:space="preserve">qui conuaincra <lb/>perpetuellement que les Taliſmans <lb/>n’ont nulle vertu, comme ie pourray <lb/>monſtrer dans le Traité de la force de <lb/>l’imagination.</s> <s xml:id="echoid-s1450" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div49" type="section" level="1" n="48"> <head xml:id="echoid-head71" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s1451" xml:space="preserve">Il y a de certaines perſonnes trop <pb o="88" file="00107" n="106" rhead="Queſtions Phyſiques,"/> ſcrupulcuſes, comme il y en a de trop<unsure/> <lb/>libertines, mais il faut que<unsure/> la raiſon é-<lb/>clairée de la Foy diuine faſſe reuenir <lb/>les vns & </s> <s xml:id="echoid-s1452" xml:space="preserve">le<unsure/>s aut@es au milieu, dans le-<lb/>quel conſiſte ordinaire ment la vertu. <lb/></s> <s xml:id="echoid-s1453" xml:space="preserve">Or puis que l’on rencontre des Philo-<lb/>ſophes, qui maintiennent la force des <lb/>Taliſmans, dont nous venons de par-<lb/>ler, & </s> <s xml:id="echoid-s1454" xml:space="preserve">qui l’appuyent de raiſons, & </s> <s xml:id="echoid-s1455" xml:space="preserve"><lb/>d’experiences, il n’y a nul doute qu’vn <lb/>Philoſophe Chreſtien peut expreſſe-<lb/>ment en faire les experiences, afin de <lb/>déſabuſer les ſimples, qui croyent la <lb/>pl<unsure/>us grande partie de tout ce qu’ils li-<lb/>ſent dans les b<unsure/>ure@, ſans paſſerà l’exa-<lb/>men que font les ſçauans de tout ce <lb/>qu’ils ſoupçonnent de fauſſeté; </s> <s xml:id="echoid-s1456" xml:space="preserve">& </s> <s xml:id="echoid-s1457" xml:space="preserve">afin <lb/>qu’il deſtruiſe les obſeruations preten-<lb/>duës ( qui i<unsure/>ont priſes de quelques rela-<lb/>tions hiſtoriques, la pluſpart fabulcu-<lb/>ſes ) par de veritables experiences, qui <lb/>ſoient ſans reproche, & </s> <s xml:id="echoid-s1458" xml:space="preserve">qui guariſſent <lb/>la foi<unsure/>bleſſe des eſpri<unsure/>ts trop credules.</s> <s xml:id="echoid-s1459" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1460" xml:space="preserve">Sil’on fait cela, ie m’aſſeure que l’on <lb/>n’attribuëra plus deſormais nulle vertu <lb/>aux Tali<unsure/>ſmans. </s> <s xml:id="echoid-s1461" xml:space="preserve">& </s> <s xml:id="echoid-s1462" xml:space="preserve">que leurs deffenſeurs <lb/>co@ feſſeront ingenuëment qu’ils n’en <lb/>auoient pas fait l’examen. </s> <s xml:id="echoid-s1463" xml:space="preserve">Ce qui ſ@ <pb o="89" file="00108" n="107" rhead="& Mathematiques."/> doit auſſi entendre de la Chiromantie, <lb/>de l’Aſtrologie Iudiciaire, de la Geo-<lb/>mantie, & </s> <s xml:id="echoid-s1464" xml:space="preserve">de pluſieurs autres badine-<lb/>ries dont l’cſt<unsure/>ude, & </s> <s xml:id="echoid-s1465" xml:space="preserve">l’exercice eſt tout <lb/>à fait indigne d @n honneſte homme.</s> <s xml:id="echoid-s1466" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div50" type="section" level="1" n="49"> <head xml:id="echoid-head72" xml:space="preserve"><emph style="sc">Qvestion</emph> XVIII.</head> <head xml:id="echoid-head73" style="it" xml:space="preserve">Le<unsure/>s Camaie<unsure/>ux, o@Gamah<unsure/>ez ont-ils quelque <lb/>force, on quelque ſigniſication?</head> <p> <s xml:id="echoid-s1467" xml:space="preserve">L’On appelle les Agathes, & </s> <s xml:id="echoid-s1468" xml:space="preserve">les au-<lb/>tres pic<unsure/>rres, ſur leſquelles il ſe ren-<lb/>contre naturellement des figures gra-<lb/>uées, & </s> <s xml:id="echoid-s1469" xml:space="preserve">en boſſe, Gamahé, ou Camaieux, <lb/>ſoit que les figures ſoient colorées, ou <lb/>ſans couleu<unsure/>r; </s> <s xml:id="echoid-s1470" xml:space="preserve">dont on void pluſieurs <lb/>cxperiences en diuers lieux, comme<unsure/> <lb/>dans la ſale des antiques du Louure, <lb/>dans laquelle il y a vne pierre, où l’on <lb/>void la peinture d’vn pigeon, & </s> <s xml:id="echoid-s1471" xml:space="preserve">dans <lb/>pluſieurs marbres, qui ont des figures <lb/>qui repreſentent en quelque façon des <lb/>maiſons, des villes, des i<unsure/>mages de la <lb/>Vierge, ou de noſtre Seigneur, & </s> <s xml:id="echoid-s1472" xml:space="preserve">c. </s> <s xml:id="echoid-s1473" xml:space="preserve">I´ay <lb/>dit en quelque fa<unsure/>con, parce qu’elles ſont <lb/>touſiours ſi defectueuſes, qu’il eſt be- <pb o="90" file="00109" n="108" rhead="Queſtions Phyſiques,"/> ſoin que l’imagination ſupplée la plus <lb/>grande partie des traits, & </s> <s xml:id="echoid-s1474" xml:space="preserve">des linea-<lb/>mens. </s> <s xml:id="echoid-s1475" xml:space="preserve">A quoy l’on peut rapporter les <lb/>differentes lettres Grecques, ou Lati-<lb/>nes, & </s> <s xml:id="echoid-s1476" xml:space="preserve">les mots de Muſique que l’on <lb/>remarque ſur les coquilles de mer, & </s> <s xml:id="echoid-s1477" xml:space="preserve"><lb/>ſur les aiſles des papillons, les aigles <lb/>qui ſe trouuent ſur le plan des branches <lb/>de fougere apres que l’on les a coup-<lb/>pées, & </s> <s xml:id="echoid-s1478" xml:space="preserve">les Soleils qui ſont ſur les pate-<lb/>noſtres faites de guy de cheſne, & </s> <s xml:id="echoid-s1479" xml:space="preserve">mil-<lb/>le autres ſortes de figures qui ſe rĕcon-<lb/>trent dans les plantes, dãs les animaux, <lb/>& </s> <s xml:id="echoid-s1480" xml:space="preserve">dans les pierres, ſuiuant les differents <lb/>degrez de coction de leur matiere, & </s> <s xml:id="echoid-s1481" xml:space="preserve"><lb/>les differents atomes, dont elles ſont <lb/>compoſées. </s> <s xml:id="echoid-s1482" xml:space="preserve">Ie laiſſe les differentes fi-<lb/>gures que fonr les vapeurs, les fumées, <lb/>& </s> <s xml:id="echoid-s1483" xml:space="preserve">les nuës, parce qu’elles ne ſont pas <lb/>fixes comme les autres, & </s> <s xml:id="echoid-s1484" xml:space="preserve">qu’elles ont <lb/>encore beſoin d’vne plus grande force <lb/>del imagination: </s> <s xml:id="echoid-s1485" xml:space="preserve">de là vient que l’on <lb/>ſe figure quaſi tout ce que l’on veut dãs <lb/>les nuës, comme dans le ſon des clo-<lb/>ches.</s> <s xml:id="echoid-s1486" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1487" xml:space="preserve">Mais la principale difficulté qui ſe <lb/>rencontre dans les camaieux & </s> <s xml:id="echoid-s1488" xml:space="preserve">dans <lb/>toutes les figures precedentes, conſiſte <pb o="91" file="00110" n="109" rhead="& Mathematiques."/> à ſçauoir<unsure/> ſi elles ont quelque plus gran-<lb/>de vertu que<unsure/> les car<unsure/>acteres, & </s> <s xml:id="echoid-s1489" xml:space="preserve">le@ figu-<lb/>res des Taliſmans, dont nous auons pat<unsure/>-<lb/>lé: </s> <s xml:id="echoid-s1490" xml:space="preserve">car encore q<unsure/>ue l’on p@ſſe s’imagi-<lb/>ner que la figure du Scorpiõ cmp@e@te <lb/>par la natur<unsure/>e ſur vne piet<unsure/>re, pu@ſſe<unsure/> tirer <lb/>le<unsure/> venin de la playe que le vray Scorpiõ <lb/>a faite, afin qu’elic ſe noutriſſe, & </s> <s xml:id="echoid-s1491" xml:space="preserve">s’aug-<lb/>mente tant qu’elle poutra, pour le <lb/>changer dans la nature de l’animal <lb/>qu’elle repr<unsure/>eſente, comme l’on tient <lb/>qu’il eſt arriue à pluſieurs figures de cra-<lb/>paux, qui ont peu à peuengendré ces <lb/>animaux, neantmoins cela eſt d’vne <lb/>trop grande conſequence pour s’arre-<lb/>ſter à cettc raiſon, & </s> <s xml:id="echoid-s1492" xml:space="preserve">à ces phenomnes <lb/>que l’on n’a pas encore aſſez bien exa-<lb/>minez: </s> <s xml:id="echoid-s1493" xml:space="preserve">or l’on perd le temps à faire la <lb/>recherche des raiſons, & </s> <s xml:id="echoid-s1494" xml:space="preserve">des cau<unsure/>ſes d’v-<lb/>ne choſe, dont on n eſt pas aſſeuré, & </s> <s xml:id="echoid-s1495" xml:space="preserve"><lb/>dont on n’a pas remarqué vne aſſez <lb/>grande multitudc de circonſtances, car <lb/>l<unsure/>e m’aſſeure que nul de tous ceux qui <lb/>s’efforçent de tron<unsure/>uer la raiſon de ces <lb/>phenomenes, n’en a iamais fait l’eſſay: <lb/></s> <s xml:id="echoid-s1496" xml:space="preserve">& </s> <s xml:id="echoid-s1497" xml:space="preserve">ſi l’on examinoit tout ce que Crol-<lb/>lius, & </s> <s xml:id="echoid-s1498" xml:space="preserve">les autres Chymiſtes & </s> <s xml:id="echoid-s1499" xml:space="preserve">Na-<lb/>t<unsure/>uraliſtes ont écrit des differentes ſi- <pb o="92" file="00111" n="110" rhead="Queſtions Phyſiques,"/> gnatures des plantes, & </s> <s xml:id="echoid-s1500" xml:space="preserve">de leurs effets <lb/>és maladies, ie ne doute nullement <lb/>que de cent choſes qu’ils au<unsure/>ancent har-<lb/>diment, l’on n’en trouueroit pas quatre <lb/>de veritables.</s> <s xml:id="echoid-s1501" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div51" type="section" level="1" n="50"> <head xml:id="echoid-head74" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s1502" xml:space="preserve">Paliſſy maintient que toutes les fi-<lb/>gures des pierres, & </s> <s xml:id="echoid-s1503" xml:space="preserve">des bois ſe forment <lb/>par la deſcente, & </s> <s xml:id="echoid-s1504" xml:space="preserve">l’égout des eaux cõ-<lb/>gelatiues, qui engendrent & </s> <s xml:id="echoid-s1505" xml:space="preserve">nourriſ-<lb/>ſerl<unsure/>t les poiſſons dans la mer, les ani-<lb/>maux, & </s> <s xml:id="echoid-s1506" xml:space="preserve">les plantes dans la terre, qu’el-<lb/>les conuertiroient toutes en pierre, ſi <lb/>elle nageoient dedãs, & </s> <s xml:id="echoid-s1507" xml:space="preserve">que les pierres <lb/>s’engendrent dans nos corps par la ſeu-<lb/>le vertu de cette cau, dont i’ay parlé<unsure/> <lb/>plus amplement dans la 6. </s> <s xml:id="echoid-s1508" xml:space="preserve">queſtion.</s> <s xml:id="echoid-s1509" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div52" type="section" level="1" n="51"> <head xml:id="echoid-head75" xml:space="preserve">COROLLAIRE. II.</head> <p> <s xml:id="echoid-s1510" xml:space="preserve">Les Peintres appellent Camaieux, les <lb/>crayons qu’ils font d’vne ſeule couleur <lb/>ſoit rouge, ou noire, &</s> <s xml:id="echoid-s1511" xml:space="preserve">c. </s> <s xml:id="echoid-s1512" xml:space="preserve">c’eſt ce que <lb/>Pline appelle Monochrome, quoy que <lb/>l’on y puifſe adjouſter pluſieurs cou-<lb/>leurs diſtinctcs, pourueu qu’elles ne <pb o="93" file="00112" n="111" rhead="& Mathematiques."/> ſoient pas meſlées, comme l’on fait aux <lb/>figurcs des chartes, quine ſont point <lb/>ombragées, car les ombres commen-<lb/>cent à rendre la peinture plus excellen-<lb/>te, quoy qu’elle manque encore des <lb/>douces tranſitions, qui confondent tel-<lb/>lement les coulcurs que l’on n’en peut <lb/>reconnoiſtre la diſtinction. </s> <s xml:id="echoid-s1513" xml:space="preserve">Surquoy <lb/>Loys de Montioye remarque dans le <lb/>traité qu’il a fait de la Peinture, que la <lb/>diſputc qu’ A pelles e<unsure/>ut auec Protoge-<lb/>ne à Rhodes, ſe doit entendre de cet <lb/>addouciſſement de couleurs, qui fait <lb/>perdre inſenſiblement les vnes dans les <lb/>autres, & </s> <s xml:id="echoid-s1514" xml:space="preserve">non des ſimples lignes, dont <lb/>les plus habiles maiſtres<unsure/> ne fõt nul état, <lb/>comme il prouue par l’authorité deMi-<lb/>chel Ange Bonarot, Raphaël Vrbin, <lb/>Saluiat, Polidore, de Parmes, & </s> <s xml:id="echoid-s1515" xml:space="preserve">du <lb/>Titian: </s> <s xml:id="echoid-s1516" xml:space="preserve">quoy que l’on puiſſe peut-eſtre<unsure/> <lb/>mieux expliquer ce paſſage du 5. </s> <s xml:id="echoid-s1517" xml:space="preserve">cha-<lb/>pitre du 35. </s> <s xml:id="echoid-s1518" xml:space="preserve">l<unsure/>iure de Pline, du traict, quï <lb/>fait reconnoiſtre l’excellente main, & </s> <s xml:id="echoid-s1519" xml:space="preserve"><lb/>l’hcureuſe imagination des Peintres. <lb/></s> <s xml:id="echoid-s1520" xml:space="preserve">Maisil inerite d’eſtre leu, afin de conſi-<lb/>derer la lumiere, la ſplendeur, ou lc tõ, <lb/>& </s> <s xml:id="echoid-s1521" xml:space="preserve">ce qu’il appelle l’ Armoge dans les ta-<lb/>blcaux; </s> <s xml:id="echoid-s1522" xml:space="preserve">car il veut que lc ton ſoit la <pb o="94" file="00113" n="112" rhead="Queſtions Phyſiques,"/> partie, où la couleur a plus de force, & </s> <s xml:id="echoid-s1523" xml:space="preserve"><lb/>qu il ſoit cntre la lumiere ou le clair de <lb/>la couleur, & </s> <s xml:id="echoid-s1524" xml:space="preserve">entre l’ombre, & </s> <s xml:id="echoid-s1525" xml:space="preserve">quel’ Ar-<lb/>moge ſerue pour paſſer d’vne couleur à <lb/>l’autre, comme le demy ton ſert pour <lb/>paſſer du ton graue à l’aigu: </s> <s xml:id="echoid-s1526" xml:space="preserve">c’eſt ce qui <lb/>reſpond aux nuances des Brodeurs, & </s> <s xml:id="echoid-s1527" xml:space="preserve"><lb/>des T’apiſſiers.</s> <s xml:id="echoid-s1528" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div53" type="section" level="1" n="52"> <head xml:id="echoid-head76" xml:space="preserve"><emph style="sc">Qvestion</emph> XIX.</head> <head xml:id="echoid-head77" style="it" xml:space="preserve">A quoy ſeruent les ſections Coniques, & <lb/>quel peut eſtre leur vſage?</head> <p> <s xml:id="echoid-s1529" xml:space="preserve">L’Vſage des ſections, & </s> <s xml:id="echoid-s1530" xml:space="preserve">des lignes <lb/>Coniques eſt ſi general, & </s> <s xml:id="echoid-s1531" xml:space="preserve">ſi mer-<lb/>ueilleux, qu’il eſt di<unsure/>fficile que ceux qui <lb/>n’ĕ ſçauent pas la nature & </s> <s xml:id="echoid-s1532" xml:space="preserve">les proprie-<lb/>tez, le croyent, comme il eſt aiſé de <lb/>conclurre pat ce petit diſcours que ie <lb/>commence par la conſideration de la <lb/>fection, ou de la ligne hyperbolique, <lb/>dont vne ligne droite s’approche tou-<lb/>ſiours de plus en plus, ſans qu’elle puiſ-<lb/>ſe iamais la rencontrer. </s> <s xml:id="echoid-s1533" xml:space="preserve">Elle ſert auſſi <lb/>pourfaire, & </s> <s xml:id="echoid-s1534" xml:space="preserve">pour conduire des allées, <lb/>des berceaux, & </s> <s xml:id="echoid-s1535" xml:space="preserve">des galleries qui pa- <pb o="95" file="00114" n="113" rhead="& Mathematiques."/> roiſtront touſiours d’égale largeur, en-<lb/>core que l’œil ſoit éloigné de cĕt lieuës, <lb/>ou dauantage de leurs extremitez, ou <lb/>des autres endroit<unsure/>s, qui bornĕt ſa veuë, <lb/>comme Aguilon demonſtre dans le 4. <lb/></s> <s xml:id="echoid-s1536" xml:space="preserve">liure de ſon optique, prop. </s> <s xml:id="echoid-s1537" xml:space="preserve">47. </s> <s xml:id="echoid-s1538" xml:space="preserve">ce que <lb/>l’on peut encore appliquer aux autres <lb/>lignes des ſections coniques, qui ſont <lb/>treſ-aiſces à décrire par les differentes <lb/>manieres queMonſieur My dorge à dõ-<lb/>nées dans ſon 2. </s> <s xml:id="echoid-s1539" xml:space="preserve">liure des Coniques. </s> <s xml:id="echoid-s1540" xml:space="preserve"><lb/>Cette ligne ſert encore pour les mi-<lb/>roirs, car elle ramaſſe dans ſon foyer in-<lb/>terieur tous les rayons de la lumiere, <lb/>qui vont aboutir à ſon foyer exterieur, <lb/>comme la glace parabolique ramaſſe <lb/>tous les rayons qu’elle reçoit paralle-<lb/>les, dans le ſien; </s> <s xml:id="echoid-s1541" xml:space="preserve">& </s> <s xml:id="echoid-s1542" xml:space="preserve">comme l’elliptique <lb/>renuoie tous ceux qui partent de l’vn <lb/>de ſes foyers à l’autre.</s> <s xml:id="echoid-s1543" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1544" xml:space="preserve">Mais la ligne hyperbolique eſt enco-<lb/>re plus admirable dans les lunettes, & </s> <s xml:id="echoid-s1545" xml:space="preserve"><lb/>dans la refraction, que dans les miroirs, <lb/>& </s> <s xml:id="echoid-s1546" xml:space="preserve">dans la reflexion, car elle fait dans <lb/>les diafanes ce que fait la parabolique <lb/>dans les opaques, puis qu’elle ramaſſe <lb/>dans vn ſeul poinct, ou dans vn ſeul fo-<lb/>yer tous les rayons paralleles qu’ellc <pb o="96" file="00115" n="114" rhead="Queſtions Phyſiques,"/> reçoit: </s> <s xml:id="echoid-s1547" xml:space="preserve">c’eſt pourquoi les Lunettiers de-<lb/>uroient faire les verres de leurs lunet-<lb/>tes de longue veuë en formed<unsure/>‘h<unsure/>yper-<lb/>bole conuexe, afin de multiplier la grã-<lb/>deur apparente des obi<unsure/>ets tant qu’ils <lb/>voudroient, & </s> <s xml:id="echoid-s1548" xml:space="preserve">de nous faire voir claire-<lb/>ment tout ce qui eſt dansle Soleil, & </s> <s xml:id="echoid-s1549" xml:space="preserve"><lb/>dans les autres corps celeſtes.</s> <s xml:id="echoid-s1550" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1551" xml:space="preserve">Quant à l’vſage de cette ligne, &</s> <s xml:id="echoid-s1552" xml:space="preserve">des <lb/>2 autres (à ſçauoir de la parabolique, & </s> <s xml:id="echoid-s1553" xml:space="preserve"><lb/>de l’elliptique) dans la deſcription des <lb/>lignes horaires, des horloges, & </s> <s xml:id="echoid-s1554" xml:space="preserve">de la <lb/>gnomonique, ou Scioterique, il eſt treſ-<lb/>grand, & </s> <s xml:id="echoid-s1555" xml:space="preserve">eſt auſſi agreable qu’il eſt <lb/>neceſſaire, comme l’on peut voir dans <lb/>les 3. </s> <s xml:id="echoid-s1556" xml:space="preserve">liures qu’a fait Maurolic des hor-<lb/>loges, & </s> <s xml:id="echoid-s1557" xml:space="preserve">particulierement dans le 3. </s> <s xml:id="echoid-s1558" xml:space="preserve">où <lb/>il donne la maniere de les décrire, & </s> <s xml:id="echoid-s1559" xml:space="preserve"><lb/>vne partie de leurs proprietcz. </s> <s xml:id="echoid-s1560" xml:space="preserve">Ie laiſſe <lb/>pluſieurs autres particularitez de ces <lb/>lignes: </s> <s xml:id="echoid-s1561" xml:space="preserve">par exemple, que l’on en peut <lb/>vſer pour bruſler iuſques à l’inſiny, cõ-<lb/>me i’ay remarqué ailleurs: </s> <s xml:id="echoid-s1562" xml:space="preserve">qu’elles ſer-<lb/>uent pour expliquer la maniere dont ſe <lb/>fait la viſion, & </s> <s xml:id="echoid-s1563" xml:space="preserve">dont le Soleil, & </s> <s xml:id="echoid-s1564" xml:space="preserve">les <lb/>autres aſtres agiſſent auec leurs rayons, <lb/>dautant qu’elles meritent vn liure <lb/>cntier.</s> <s xml:id="echoid-s1565" xml:space="preserve"/> </p> <pb o="97" file="00116" n="115" rhead="& Mathematiques."/> </div> <div xml:id="echoid-div54" type="section" level="1" n="53"> <head xml:id="echoid-head78" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s1566" xml:space="preserve">L’on trouuera pluſieurs proprietez <lb/>deſdires ſections Coniques dans le 16. <lb/></s> <s xml:id="echoid-s1567" xml:space="preserve">chap. </s> <s xml:id="echoid-s1568" xml:space="preserve">du 4. </s> <s xml:id="echoid-s1569" xml:space="preserve">liure de la V erité des Scien-<lb/>ces; </s> <s xml:id="echoid-s1570" xml:space="preserve">dans le 6. </s> <s xml:id="echoid-s1571" xml:space="preserve">chap. </s> <s xml:id="echoid-s1572" xml:space="preserve">de la 2. </s> <s xml:id="echoid-s1573" xml:space="preserve">partie de <lb/>l’Impieté des Deiſtes, où neuf eſpeces <lb/>de miroirs ſont expliquées, & </s> <s xml:id="echoid-s1574" xml:space="preserve">dans le <lb/>13. </s> <s xml:id="echoid-s1575" xml:space="preserve">chap. </s> <s xml:id="echoid-s1576" xml:space="preserve">de la 25. </s> <s xml:id="echoid-s1577" xml:space="preserve">obj<unsure/>ection quefont <lb/>les impies contte l’exiſtence de la Di-<lb/>uinité, où les proprietez, & </s> <s xml:id="echoid-s1578" xml:space="preserve">la fabrique <lb/>des miroirs paraboliqucs ſont expli-<lb/>quées: </s> <s xml:id="echoid-s1579" xml:space="preserve">de ſorte qu’il n’eſt pasicy neceſ-<lb/>ſaire d’vn plus long diſcours. </s> <s xml:id="echoid-s1580" xml:space="preserve">Et ſi l’on <lb/>veut ſ’inſtruire plus amplemen<unsure/>t de ces <lb/>lignes, & </s> <s xml:id="echoid-s1581" xml:space="preserve">de tout ce qui leur appartiĕt, <lb/>il faur lire l’Apollonius Pergæus, & </s> <s xml:id="echoid-s1582" xml:space="preserve">les <lb/>liures des ſectiõs Coniques de Mõſieur <lb/>Mydorge, que tous les ſçauans de-<lb/>uroient prier de donner les 6. </s> <s xml:id="echoid-s1583" xml:space="preserve">derniers <lb/>liures qu’il a promis, aſin de joüir de <lb/>ce chef-d’œuure, & </s> <s xml:id="echoid-s1584" xml:space="preserve">de s’en ſeruir en <lb/>mille occaſions.</s> <s xml:id="echoid-s1585" xml:space="preserve"/> </p> <pb o="98" file="00117" n="116" rhead="Queſtions Phyſiques,"/> </div> <div xml:id="echoid-div55" type="section" level="1" n="54"> <head xml:id="echoid-head79" xml:space="preserve"><emph style="sc">Qvestion</emph> XX.</head> <head xml:id="echoid-head80" style="it" xml:space="preserve">A ſçauoir ſi l’on peut lire dans les aſtres par <lb/>le moyen des miroirs, & ſi l’on peut <lb/>connoiſtre les choſes futures <lb/>dans les Eſtoiles?</head> <p> <s xml:id="echoid-s1586" xml:space="preserve">QVelques-vns ſe ſont imaginez <lb/>que l’on pouuoit lire dans la Lune <lb/>par le moyen de 2. </s> <s xml:id="echoid-s1587" xml:space="preserve">ou pluſieurs miroirs, <lb/>dont l’vn porte les characteres juſques <lb/>à cet aſtre, & </s> <s xml:id="echoid-s1588" xml:space="preserve">l’autre les reçoit par la re-<lb/>flexion de ladite Lune, & </s> <s xml:id="echoid-s1589" xml:space="preserve">les renuoye <lb/>à l’œil; </s> <s xml:id="echoid-s1590" xml:space="preserve">Agrippa s’eſt vanré dans ſes li-<lb/>ures d’en ſçauoir le ſecret, & </s> <s xml:id="echoid-s1591" xml:space="preserve">pluſieurs <lb/>autres diſent qu’on a fait ſçauoir des <lb/>nouuelles bien ſecretes par ce moyen, <lb/>à ceux qui eſtoient bien éloignez; </s> <s xml:id="echoid-s1592" xml:space="preserve">mais <lb/>s’ils parlent toutà bon, ils ſe trompent <lb/>lourdement, car encore que l’on peuſt <lb/>enuoyer l’õbre, ou la lumiere des cha-<lb/>racteres que l’on forme ſur les glaces <lb/>des miroirs auec de la cireou du papier, <lb/>& </s> <s xml:id="echoid-s1593" xml:space="preserve">que la Lune fuſt vn corps ſi poli, <lb/>qu’elle peuſt renuoyer les meſmes cha-<lb/>racteres juſques à terre, & </s> <s xml:id="echoid-s1594" xml:space="preserve">ſur l’autre <pb o="99" file="00118" n="117" rhead="& Mathematiques."/> glace, les rayons deſdits characteres <lb/>ſeroient ſi affoiblis, qu’il ſeroit impoſ-<lb/>ſible de les apperceuoir. </s> <s xml:id="echoid-s1595" xml:space="preserve">D’ailleurs, <lb/>encore que l’on ſuppoſaſt que la Lune <lb/>fuſt ronde, plate, ou creuſe, l’on ne <lb/>peut eſt ablir le lieu pour poſer le mitoir <lb/>ſi à propos, que la reflexion de la Lune <lb/>ſe face dedans? </s> <s xml:id="echoid-s1596" xml:space="preserve">Mais il n’eſt pas neceſ-<lb/>ſaire de m’eſtĕdreicy plus amplement, <lb/>puis qu’il n’y à nul homme ſçauant, & </s> <s xml:id="echoid-s1597" xml:space="preserve"><lb/>judicieux, quine ſçache que cette ma-<lb/>niere de communiquer les penſées au <lb/>loin, n’eſt pas poſſible. </s> <s xml:id="echoid-s1598" xml:space="preserve">Si ces vanteurs <lb/>ſçauoient le ſecret, & </s> <s xml:id="echoid-s1599" xml:space="preserve">la puiſſance des <lb/>diaphanes, ils euſſent pluſtoſt dit que <lb/>l’on euſt peulire dans la Lune, ſ’il s’y rĕ-<lb/>controit quelque écriture, quoy que <lb/>l’on puiſſe s’imaginer des miroirs ſi <lb/>grands, & </s> <s xml:id="echoid-s1600" xml:space="preserve">ſi parfaits, qu’ils repreſente-<lb/>ront tout ce qui eſt dans les aſtres aſſez <lb/>diſtinctement pour eſtré apperccu de <lb/>l’œil: </s> <s xml:id="echoid-s1601" xml:space="preserve">mais l’execution n’eſt pas dans la <lb/>puiſſance des hommcs.</s> <s xml:id="echoid-s1602" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1603" xml:space="preserve">Or la queſtion ayant deux parties, il <lb/>faut ſatisfaire à la ſeconde, qu<unsure/>iappar-<lb/>tient à l’Aſtrologie, que quelques-vns <lb/>croyent auoir eſi<unsure/>é pratiquée<unsure/> par les <lb/>premiers Patriarches, qui ont veu, &</s> <s xml:id="echoid-s1604" xml:space="preserve"> <pb o="100" file="00119" n="118" rhead="Queſtions Phyſiques,"/> leu, diſent-ils, les choſes futures dãs les <lb/>eſtoiles: </s> <s xml:id="echoid-s1605" xml:space="preserve">Surquoy ie dy premierement <lb/>que nous n’auons nulle raiſon d’établir <lb/>cette lecture, puis que Iacob l’vn des <lb/>plus grands Patriarches, & </s> <s xml:id="echoid-s1606" xml:space="preserve">amis dc<unsure/> <lb/>Dieu, ny ceux de ſon temps n’ont point <lb/>leu dans les eſtoiles, que la famine <lb/>deuſt durer 7. </s> <s xml:id="echoid-s1607" xml:space="preserve">ans, autremĕtils euſſent <lb/>fait vne ſi bonne prouiſion qu’ils n’euſ-<lb/>ſent pas eſté contraints d’enuoyer en <lb/>Ægypte pour achepter dufroment.</s> <s xml:id="echoid-s1608" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1609" xml:space="preserve">Quant à ce qu’on rapporte que Lia <lb/>nomma ſon fils Gad, parce qu’il eſtoit <lb/>né ſouz Iupiter, que l’on appelle bonne <lb/>fortune, cela n’eſt pas ſi cõſtant que l’on <lb/>en puiſſe tirer aucune concluſion pour <lb/>l’écriture des eſtoiles: </s> <s xml:id="echoid-s1610" xml:space="preserve">& </s> <s xml:id="echoid-s1611" xml:space="preserve">ſi l’on fait re-<lb/>flexion ſur les Cometes, & </s> <s xml:id="echoid-s1612" xml:space="preserve">ſur les figu-<lb/>res que l’on remar que dans le Ciel, ou <lb/>dans les nuës, l’on aduoüera qu’elles ne <lb/>figniſiĕt point les choſes futures, ou que <lb/>cette ſignificatiõ ne peut eſtre connuë <lb/>par les hommes: </s> <s xml:id="echoid-s1613" xml:space="preserve">de là vient qu’ils ſe <lb/>trompent quaſi touſiours, quãdils pre-<lb/>diſent ce qui doit arriuer apres tous ces <lb/>ſignes, Il faut dire la meſme choſe des <lb/>eſtoiles, car encore que lesCieux ſoient <lb/>comparez à des liures, & </s> <s xml:id="echoid-s1614" xml:space="preserve">à des voix, qui <pb o="101" file="00120" n="119" rhead="& Mathematiques."/> racontent la gloire de Dieu, & </s> <s xml:id="echoid-s1615" xml:space="preserve">que l’on <lb/>puiſſe s’imaginer que les lettres He-<lb/>braïques, ou Atabeſques ſont repre-<lb/>ſentées par les differentes diſpoſitions <lb/>des eſtoiles, & </s> <s xml:id="echoid-s1616" xml:space="preserve">des plan@ttes, neant-<lb/>moinsil n’y a nul moyen de lire, ou de <lb/>trouuer quellc a cſté l’intention de <lb/>Dieu, lors qu’il les a ainſi diſpoſées; </s> <s xml:id="echoid-s1617" xml:space="preserve">& </s> <s xml:id="echoid-s1618" xml:space="preserve"><lb/>conſe quemmentelles ne nous peuuent <lb/>ſeruir pour ſçauoir les choſes futures. <lb/></s> <s xml:id="echoid-s1619" xml:space="preserve">A quoy l’õ peut adjouſter que les eſtoi-<lb/>les eſtant touſiours en meſme di@poſi-<lb/>tion ne ſignifient qu’vne meſme choſe, <lb/>& </s> <s xml:id="echoid-s1620" xml:space="preserve">partant que l’on ne pcut ſçauoir ſi ce <lb/>qu’elles repreſentent eſt paſſé, ou fu-<lb/>tur.</s> <s xml:id="echoid-s1621" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1622" xml:space="preserve">Car encore que l’on puiſſe dire que <lb/>lc changement des Planettes change <lb/>les dictions, nous n’auons iamais veu <lb/>d’hommes qui en puiſlent lire aucunes <lb/>dans les cieux, & </s> <s xml:id="echoid-s1623" xml:space="preserve">nous experimentons <lb/>que les plus ſçauans du monde ſe mo-<lb/>quent de cette lecture, comme d’vne <lb/>fable: </s> <s xml:id="echoid-s1624" xml:space="preserve">ce qui ſuffit pour perſuader aux <lb/>bons eſprits que tout ce que les Rabins, <lb/>& </s> <s xml:id="echoid-s1625" xml:space="preserve">les autres ont aduancé ſur cette ma-<lb/>tiere, eſt ſans nul fondcment. </s> <s xml:id="echoid-s1626" xml:space="preserve">Mais ie <lb/>parle plus amplement de l’A ſtrologie <pb o="102" file="00121" n="120" rhead="Queſtions Phyſiques,"/> dans vn autre lieu. </s> <s xml:id="echoid-s1627" xml:space="preserve">Quant aux miroirs, <lb/>l’on peut voir ce qui eſt dans le 13. </s> <s xml:id="echoid-s1628" xml:space="preserve">chap. <lb/></s> <s xml:id="echoid-s1629" xml:space="preserve">de la 25. </s> <s xml:id="echoid-s1630" xml:space="preserve">objection, que i’ay deſia cité <lb/>dans leCorollaire prc<unsure/>c<unsure/>e<unsure/>dent, & </s> <s xml:id="echoid-s1631" xml:space="preserve">en plu-<lb/>ſieurs autres endroits, où i’en traite.</s> <s xml:id="echoid-s1632" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div56" type="section" level="1" n="55"> <head xml:id="echoid-head81" xml:space="preserve"><emph style="sc">Qvestion</emph> XXI.</head> <head xml:id="echoid-head82" style="it" xml:space="preserve">La lumiere oſt-elle viſible, & diſtincte des <lb/>coule<unsure/>urs ? il eſt auſsi parlé des corps <lb/>terrc<unsure/>ſtres qui ont de la lumie-<lb/>re en eux.</head> <p> <s xml:id="echoid-s1633" xml:space="preserve">CEtte queſtion eſt difficile en ſes <lb/>deux patries. </s> <s xml:id="echoid-s1634" xml:space="preserve">car encore que la lu-<lb/>miere pour grande qu’elle puiſſe eſtre, <lb/>ne ſe voye point dans le foyer des mi-<lb/>roirs ardens, qui bruſlent par reflexion, <lb/>ou par refraction, iuſques à ce que l’on <lb/>y applique vn corps opaque, qui le face <lb/>paroiſtre, neantmoins on la void quand <lb/>elle eſt reflechie, lors que l’on regarde <lb/>directement le Soleil. </s> <s xml:id="echoid-s1635" xml:space="preserve">Or l’on peut di-<lb/>re qu elle n’eſt pas viſible quand elle <lb/>n’eſt pas rcceuë, ou terminée par vn <lb/>corps brute, & </s> <s xml:id="echoid-s1636" xml:space="preserve">opaque, comme l’on ex-<lb/>perimente dans les endroits de l’air, où <pb o="103" file="00122" n="121" rhead="& Mathematiques."/> elle eſt ſi forte qu’elle bruſle, car enco-<lb/>re que toute la lumiere du Soleil, ou <lb/>vne autre plus grande ſe trouuaſt dans <lb/>le focus d’vn miroir, il ſeroit impoſſible <lb/>dela voir, ſi l’on n’appliquoit quelque <lb/>corps opaque quila peuſt reflechir iuſ-<lb/>ques à l’oeil. </s> <s xml:id="echoid-s1637" xml:space="preserve">Mais il faut remarquer <lb/>que ce corps opaque ne doit pas eſtre <lb/>poli, parce que toute ſorte de poliſſure <lb/>repreſente ſeulemĕt l@image du<unsure/> Soleil, <lb/>particulierement ſi elle eſt parfaicte, <lb/>comme l’on experimente aux miroirs <lb/>plats, leſquels eſtant expoſ@z aux ravõs <lb/>du Soleil, en repreſentent tellement <lb/>l’image, que l’on n’apperçoit ny lumie-<lb/>re, ny glace de miroir, de ſorte que <lb/>ceux qui ne ſçauent pas ſi l’on a eſtably <lb/>ladite glace au lieu où elle eſt, croyent <lb/>que c eſt le corps du Soleil.</s> <s xml:id="echoid-s1638" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1639" xml:space="preserve">D’où il eſt aiſé de conclurre que ſi <lb/>tous les corps opaques eſtoient parfai-<lb/>tement polis, que l’on ne verroit que la <lb/>ſeule image du Soleil en quelque lieu <lb/>que l’on peuſt regarder: </s> <s xml:id="echoid-s1640" xml:space="preserve">de ſorte qu’il <lb/>n’y a que l’égalité des ſurf@ces qui em-<lb/>peſche que cette image ne ſe forme di-<lb/>ſtinctement, car elle eſt la ſource de la <lb/>confuſion, comme l’égalité l’eſt de la <pb o="104" file="00123" n="122" rhead="Queſtions Phyſiques,"/> diſtinction, dautant qu’elle rompt, & </s> <s xml:id="echoid-s1641" xml:space="preserve"><lb/>diſſipe tellement les rayons du Soleil, <lb/>qu’ils n’ont pas aſſez de force pour re-<lb/>preſenter leur origine, quoy qu’ils n’a-<lb/>yent point, ce ſemble, d’autre deſſein. <lb/></s> <s xml:id="echoid-s1642" xml:space="preserve">Ce qui a fait pĕſerà quelques- vns que <lb/>la lumiere n’eſtoit autre choſe que l’i-<lb/>mage du corps lumincux, & </s> <s xml:id="echoid-s1643" xml:space="preserve">que les <lb/>hommes ne paroiſtroient qu’vne pure <lb/>image de Dieu, s’ils n’apportoient nul-<lb/>le @@ſiſtance à ſes faueurs, & </s> <s xml:id="echoid-s1644" xml:space="preserve">s’ils refle-<lb/>chiſſoient tous les ray ons de ſes graces <lb/>ſur leur prochain, & </s> <s xml:id="echoid-s1645" xml:space="preserve">conſequemment <lb/>qu’ils ne conſidereroient autre choſe <lb/>dans toutes les creatures, que la ſeule <lb/>image de Dieu.</s> <s xml:id="echoid-s1646" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1647" xml:space="preserve">Ie ne veux pas obmettre vne conſi-<lb/>deration treſ-particuliere touchant les <lb/>corps lumineux, qui conſiſte à remar-<lb/>quer tous ceux qui ont de la lumiere <lb/>en eux-meſmes, afin que l’on puiſſe <lb/>mieux conjecturer quelle eſt ſa nature, <lb/>lors que l’on aura examiné tous les ſu-<lb/>jets, où elle ſe rencontr@. </s> <s xml:id="echoid-s1648" xml:space="preserve">Or nous ex-<lb/>perimentons que les vers luiſans, l’A-<lb/>garic, le cheſne pourry, & </s> <s xml:id="echoid-s1649" xml:space="preserve">pluſieurs au-<lb/>tres bois, & </s> <s xml:id="echoid-s1650" xml:space="preserve">que le Haran, le Merlan, <lb/>& </s> <s xml:id="echoid-s1651" xml:space="preserve">pluſieurs autres poiſſons illuminent, <pb o="105" file="00124" n="123" rhead="& Mathematiques."/> auant qu’ils ſoient cuits, & </s> <s xml:id="echoid-s1652" xml:space="preserve">écaillez. </s> <s xml:id="echoid-s1653" xml:space="preserve">Il <lb/>arriue la meſme choſe à la Raye cuite <lb/>& </s> <s xml:id="echoid-s1654" xml:space="preserve">boüillie, qui luit ſi fort que l’on peut <lb/>quaſi lire à ſa lumiere. </s> <s xml:id="echoid-s1655" xml:space="preserve">A quoy l’õ peut <lb/>ad@ouſter l’eau de la mer, qui produit <lb/>mille eſtincelles par ſon<unsure/> mouuement. <lb/></s> <s xml:id="echoid-s1656" xml:space="preserve">Et quelques.</s> <s xml:id="echoid-s1657" xml:space="preserve"><unsure/> vns tiennent que le coeur <lb/>entretient vne flamme perpetuelle dãs <lb/>ſes ſeins, ou ventricules<unsure/>, tandis qu’il a <lb/>de la vie, & </s> <s xml:id="echoid-s1658" xml:space="preserve">du mouuement.</s> <s xml:id="echoid-s1659" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1660" xml:space="preserve">Quant aux couleurs, il eſt ce<gap/>in <lb/>qu’elles ont quelque choſe diſtinct de <lb/>la lumiere, dont les rayons prennent la <lb/>r<unsure/>einture des ſurfaces differen@es, lors <lb/>qu ils entrent dans leurs pores, & </s> <s xml:id="echoid-s1661" xml:space="preserve">qu’ils <lb/>en ſortent par differentes reflexions. <lb/></s> <s xml:id="echoid-s1662" xml:space="preserve"><emph style="sc">M</emph>ais l on peut dire que ces ſurfaces n@õt <lb/>nulle couleur en ſoy, & </s> <s xml:id="echoid-s1663" xml:space="preserve">que les differĕ-<lb/>tes couleurs s engĕdrent actuellement <lb/>par les diuerſes refractions, & </s> <s xml:id="echoid-s1664" xml:space="preserve">reflexiõs, <lb/>qui ſe font dãs les corps qui reçoiuĕt & </s> <s xml:id="echoid-s1665" xml:space="preserve"><lb/>qui renuoyent la lumiere : </s> <s xml:id="echoid-s1666" xml:space="preserve">quoy qu’il <lb/>ſoit biĕ difficile de determiner le nom-<lb/>bre des rayons, ou la grandeur de la lu-<lb/>miere, qui eſt neceſſaire pour faire pa-<lb/>roiſtre le blanc, le rouge, ou les autres <lb/>couleurs; </s> <s xml:id="echoid-s1667" xml:space="preserve">& </s> <s xml:id="echoid-s1668" xml:space="preserve">combien de fois vn meſme <lb/>rayõ doit eſtre rompu, ou reflechy pour <pb o="106" file="00125" n="124" rhead="Queſtions Phyſiques,"/> faire paroiſtre telle couleur que l’õvou-<lb/>dra, car ce ſecret ſupoſe vne ſpeculatiõ <lb/>treſ ſubtile, & </s> <s xml:id="echoid-s1669" xml:space="preserve">treſ-exacte de la figure, <lb/>& </s> <s xml:id="echoid-s1670" xml:space="preserve">de la grandeur de chaque pore, qui <lb/>ſerencontre dans la ſurface des corps, <lb/>puiſque chaque pore eſt ſemblable à <lb/>vn petit miroir concaue, dont la glace <lb/>a ſa figure differente de celle des autres <lb/>pores.</s> <s xml:id="echoid-s1671" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1672" xml:space="preserve">Or les priſmes, ou triangles de chry-<lb/>ſt<gap/> & </s> <s xml:id="echoid-s1673" xml:space="preserve">les verres taillez en differentes <lb/>manieres peuuent ayder à ſurmonter <lb/>cette difficulté, car leurs refractions, <lb/>qui produiſent le bleu, le vert, le @aune, <lb/>& </s> <s xml:id="echoid-s1674" xml:space="preserve">pluſieu@@ autres couleurs, peuuent <lb/>eſtre meſurées: </s> <s xml:id="echoid-s1675" xml:space="preserve">& </s> <s xml:id="echoid-s1676" xml:space="preserve">l’on peut ſçauoir cõ-<lb/>bien il ſe perd de lumiere par les diffe-<lb/>rentes immerſions du rayon dans les <lb/>corps diafanes, encore qu’il ſoit diffi-<lb/>cile d’en faire l’application à la perte <lb/>qui s’en fait par le moyen des pores de <lb/>chaque corps opaque.</s> <s xml:id="echoid-s1677" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1678" xml:space="preserve">Ceux qui compoſent tous les corps <lb/>d’atomes de differĕtes figures, peuuent <lb/>rapporter les couleurs aux differentes <lb/>reflexions, qui ſe font par leur moyen, <lb/>& </s> <s xml:id="echoid-s1679" xml:space="preserve">dire que l’eau ſe teint de couleur de <lb/>rubi par l’or, & </s> <s xml:id="echoid-s1680" xml:space="preserve">de couleur d’azur par <pb o="107" file="00126" n="125" rhead="& Mathematiques."/> l’argent, & </s> <s xml:id="echoid-s1681" xml:space="preserve">de pluſieurs autres ſortes de <lb/>couleurs par les autres metaux & </s> <s xml:id="echoid-s1682" xml:space="preserve">mi-<lb/>neraux, & </s> <s xml:id="echoid-s1683" xml:space="preserve">par les differĕs ſucs des her-<lb/>bes, à raiſon des differencs atomes de <lb/>ces corps, qui ſe meſlent parmy ladite <lb/>eau, & </s> <s xml:id="echoid-s1684" xml:space="preserve">qui font que ſa ſurface rompt <lb/>& </s> <s xml:id="echoid-s1685" xml:space="preserve">reflechit differemment les rayons <lb/>qu’elle reçoit, & </s> <s xml:id="echoid-s1686" xml:space="preserve">conſequemmĕt qu’el-<lb/>le fait paroiſtre toutes les differentes <lb/>couleurs que nous voyons. </s> <s xml:id="echoid-s1687" xml:space="preserve">Mais il fau-<lb/>droit determiner quelle figure doiuent <lb/>auoir les atomes pour engendrer le <lb/>blanc, le noir, &</s> <s xml:id="echoid-s1688" xml:space="preserve">c. </s> <s xml:id="echoid-s1689" xml:space="preserve">& </s> <s xml:id="echoid-s1690" xml:space="preserve">comme ils doi-<lb/>uent eſtre diſpoſez pour reſlechir, & </s> <s xml:id="echoid-s1691" xml:space="preserve"><lb/>pour rompre la lumiere en telle manie-<lb/>re que l’on voudra.</s> <s xml:id="echoid-s1692" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div57" type="section" level="1" n="56"> <head xml:id="echoid-head83" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s1693" xml:space="preserve">L’on peut voir toutes les proprietez <lb/>de la lumiere, qui ſont expliquées dans <lb/>la 4. </s> <s xml:id="echoid-s1694" xml:space="preserve">queſtion ſur la Geneſe, & </s> <s xml:id="echoid-s1695" xml:space="preserve">dans le <lb/>2. </s> <s xml:id="echoid-s1696" xml:space="preserve">liure de la Muſique. </s> <s xml:id="echoid-s1697" xml:space="preserve">Mais il faut re-<lb/>marquer que quand ie dis que la lumie-<lb/>re eſt inuiſible dans le foyer des miroirs <lb/>qui bruſlent, ou en tel autre lieu que l’õ <lb/>voudra, que cela arriue parce qu’elle ne <lb/>peut enuoyer de rayõs àl’oeil, car elle eſt <pb o="108" file="00127" n="126" rhead="Queſtions Phyſiques,"/> ſterile, de ſa nature, n’ayant rien que ce <lb/>qu’elle reçoit du corps lumineux, qui <lb/>la fait reflechir à la rencontre des corps <lb/>opaques, de ſorte que ſi l’oeil ne ſe ren-<lb/>contre vis à vis de la ligne droite du ra-<lb/>yon direct, reflechy ou rompu, il ne <lb/>peut rien voir; </s> <s xml:id="echoid-s1698" xml:space="preserve">& </s> <s xml:id="echoid-s1699" xml:space="preserve">toutes & </s> <s xml:id="echoid-s1700" xml:space="preserve">quantes-<lb/>fois qu’il s’y rencontre, il void le Soleil, <lb/>ou les autres corps lumineux parfaite-<lb/>ment, ou imparfaitement, ſuiuant les <lb/>ſurfaces brutes, ou polies qui reflechiſ-<lb/>ſent, ou rompent les rayons. </s> <s xml:id="echoid-s1701" xml:space="preserve">Car l’on <lb/>peut dire que toutes les couleurs ſont <lb/>les tableaux, & </s> <s xml:id="echoid-s1702" xml:space="preserve">les images du Soleil, ou <lb/>des autres corps lumineux: </s> <s xml:id="echoid-s1703" xml:space="preserve">par exem-<lb/>ple, de la flamme des chandelles, com-<lb/>me i’ay dit dans cette queſtion. </s> <s xml:id="echoid-s1704" xml:space="preserve">Or il <lb/>y a pluſicurs autres difficultez dans la <lb/>lumiere, dont il faudra traiter ailleurs: <lb/></s> <s xml:id="echoid-s1705" xml:space="preserve">par exemple, comme elle peut ſe rare-<lb/>fier, & </s> <s xml:id="echoid-s1706" xml:space="preserve">ſe condenſer iuſques à l’infiny; </s> <s xml:id="echoid-s1707" xml:space="preserve"><lb/>comment ſon infinie puiſſance, & </s> <s xml:id="echoid-s1708" xml:space="preserve">ra-<lb/>diation eſtant renfermée dans vne pe-<lb/>tite chambre, ne la peut aſſez éclairer <lb/>pour y pouuoir lire, nonobſtant l’infi-<lb/>nité de reflexions qu’elle y fait: </s> <s xml:id="echoid-s1709" xml:space="preserve">pour-<lb/>quoy la lumiere, ou la flamme d’vne <lb/>chandelle paroiſt plus grande à propor- <pb o="109" file="00128" n="127" rhead="& Mathematiques."/> tion que l’on s’en éloigne dauantage: <lb/></s> <s xml:id="echoid-s1710" xml:space="preserve">ſi le feu que l’on void eſt different de <lb/>la rarefraction de l’air, &</s> <s xml:id="echoid-s1711" xml:space="preserve">c.</s> <s xml:id="echoid-s1712" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div58" type="section" level="1" n="57"> <head xml:id="echoid-head84" xml:space="preserve"><emph style="sc">Qvestion</emph> XXII</head> <head xml:id="echoid-head85" style="it" xml:space="preserve">Quelles ſont les vertus occuites, & la ſyin-<lb/>pathie, & antipathie, & d’où <lb/>elles viennent.</head> <p> <s xml:id="echoid-s1713" xml:space="preserve">L’On appelle ordinairement les <lb/>vertus occultes, celles dont on <lb/>apperço@@ les effects, & </s> <s xml:id="echoid-s1714" xml:space="preserve">dont on ne <lb/>ſçait pas la raiſon; </s> <s xml:id="echoid-s1715" xml:space="preserve">par exemple, l’on <lb/>dit que l’Aymant attire le fer par vne <lb/>vertu occulte, mais l’on ne ſçait pas <lb/>pourquoy, ny comment ſe fait cette at-<lb/>traction: </s> <s xml:id="echoid-s1716" xml:space="preserve">par où l’on void que les ver-<lb/>tus occultes ſe rapportent à leur effect, <lb/>qui nous enſeigne qu’elles ſont, mais <lb/>ils ne nous font pas connoiſtre quelles <lb/>elles ſont. </s> <s xml:id="echoid-s1717" xml:space="preserve">Quant à la ſympathie, & </s> <s xml:id="echoid-s1718" xml:space="preserve">à <lb/>l’antipathie, dont l’vne rend deux ou <lb/>pluſieurs choſes amies, & </s> <s xml:id="echoid-s1719" xml:space="preserve">l’autre enne-<lb/>mies, elles procedent auſſi des quali-<lb/>litez, que l’on appelle occultes; </s> <s xml:id="echoid-s1720" xml:space="preserve">parce <lb/>que l’on ne ſçait pas l’origine des rap- <pb o="110" file="00129" n="128" rhead="Queſtions Phyſiques,"/> ports, & </s> <s xml:id="echoid-s1721" xml:space="preserve">des reſſemblances, qui ſe ren-<lb/>contrent entre les corps, & </s> <s xml:id="echoid-s1722" xml:space="preserve">les eſprits. <lb/></s> <s xml:id="echoid-s1723" xml:space="preserve">Or ces qualitez ne viennent pas de la <lb/>diſpoſition des aſtres, puis qu’elles ſont <lb/>differentes dans vn meſme climat, ſur <lb/>lequel les meſmes aſtres ont vn meſ-<lb/>me aſpect, comme l’on remarque dans <lb/>les plantes, dans les animaux, & </s> <s xml:id="echoid-s1724" xml:space="preserve"><lb/>dans les pierres de meſme eſpece, <lb/>dont les qualitez ſont differentes, quoy <lb/>que les aſtres les regardent eſgale-<lb/>ment. </s> <s xml:id="echoid-s1725" xml:space="preserve">C’eſt pourquoy il eſt plus rai-<lb/>ſonnable de dire qu’elles ont leur ſour-<lb/>ce dans le different mélange des ele-<lb/>mens, ou des atomes, dont les corps <lb/>ſont compoſez, ou dans la quantité du <lb/>fel, du ſouffre, & </s> <s xml:id="echoid-s1726" xml:space="preserve">du mercure, quiſont <lb/>les principes ſenſibles des corps. </s> <s xml:id="echoid-s1727" xml:space="preserve">Mais <lb/>il faut remarquer que ces qualitez ſont <lb/>ſeulement occultes aux ignorans, car <lb/>les doctes qui ſcauent l’origine des <lb/>actions, que le vulgaire nomme ſympa-<lb/>thie, ou antipathie, n’vſent point de ces <lb/>termes, & </s> <s xml:id="echoid-s1728" xml:space="preserve">monſtrent que ce qu’on ap-<lb/>pelle occulte, leur eſt euident: </s> <s xml:id="echoid-s1729" xml:space="preserve">& </s> <s xml:id="echoid-s1730" xml:space="preserve">s’il y a <lb/>des qualitez qu’ils ne connoiſſent pas, <lb/>ils auouënt librement leur ignorance <lb/>en cela. </s> <s xml:id="echoid-s1731" xml:space="preserve">de ſorte que l’on peut conclure <pb o="111" file="00130" n="129" rhead="& Mathematiques."/> que tous les hommes ſont fort ignorãs, <lb/>puis qu ils ſont contraints d’auoüer que <lb/>pluſieurs qualitez leurs ſont occultes, <lb/>& </s> <s xml:id="echoid-s1732" xml:space="preserve">qu ils ont beſoin de la ſympathie <lb/>pour couurir leur défaur. </s> <s xml:id="echoid-s1733" xml:space="preserve">Car encore <lb/>que les Chymiſtes eſſayent à perſuader <lb/>qu’ils ſçauent la raiſon de tous les effets <lb/>de la nature, neantmoins ſi on les preſ-<lb/>ſe, & </s> <s xml:id="echoid-s1734" xml:space="preserve">qu’on leur demande pourquoy <lb/>tel ſel, ſouffre, ou mercure a vne telle <lb/>vertu, & </s> <s xml:id="echoid-s1735" xml:space="preserve">dequoy il eſt compoſé: </s> <s xml:id="echoid-s1736" xml:space="preserve">pour-<lb/>quoy la fecondité de la ſemĕce dépend <lb/>pluſtoſt de l’vn des principes que d’vn <lb/>autre: </s> <s xml:id="echoid-s1737" xml:space="preserve">qui a contraint les principes à ſe <lb/>meſler auec les excremens des corps, <lb/>qu’ils appellent, Caput mortuum, & </s> <s xml:id="echoid-s1738" xml:space="preserve">mil-<lb/>le autres choſes ſemblables, l’on trouue <lb/>qu’ils ne ſçauent rien, & </s> <s xml:id="echoid-s1739" xml:space="preserve">l’on eſt con-<lb/>traint d’auoüer que l’homme n’eſt pas <lb/>capable de ſçauoir la raisõ d’autre cho-<lb/>ſe que de ce qu’il peut faire, ny d’autres <lb/>ſciences, que de celles, dont il fait luy-<lb/>meſme les principes, comme l’on peut <lb/>demonſtrer en conſiderant les Mathe-<lb/>matiques.</s> <s xml:id="echoid-s1740" xml:space="preserve"/> </p> <pb o="112" file="00131" n="130" rhead="Queſtions Phyſiques,"/> </div> <div xml:id="echoid-div59" type="section" level="1" n="58"> <head xml:id="echoid-head86" xml:space="preserve"><emph style="sc">Qvestion</emph> XXIII.</head> <head xml:id="echoid-head87" style="it" xml:space="preserve">D’où vient le grand contentement que l’on <lb/>reçoit, l<unsure/>ors que l’on croit auoir trouué <lb/>quelque nouuelle demonſtration, <lb/>ou verité?</head> <p> <s xml:id="echoid-s1741" xml:space="preserve">L’On peut conſiderer deux choſes <lb/>en cette queſtion, à ſçauoir pour-<lb/>quoy nous ſentons des tranſports d’vn <lb/>contentement extraordinaire, au meſ-<lb/>me temps que nous auons trouué quel-<lb/>que verité, & </s> <s xml:id="echoid-s1742" xml:space="preserve">pourquoy ce contente-<lb/>ment ſe paſſe tout auſſi toſt, de ſorte <lb/>qu’il ſemble que l’on a beaucoup plus <lb/>de contentemĕt en cerchant la verité <lb/>qu’apres que l’on la trouuée. </s> <s xml:id="echoid-s1743" xml:space="preserve">Quant à <lb/>la premiere partie, il eſt aiſé d’y ſatisfai-<lb/>re, à raiſon que l’aquiſition des perfe-<lb/>ctions augmente en quelque maniere <lb/>noſtre eſtre, car puis que la connoiſſan-<lb/>ce de la verité eſt le plus bel ornement <lb/>de l’eſprit, & </s> <s xml:id="echoid-s1744" xml:space="preserve">qu’elle luy donne comme <lb/>vne ſeconde vie, il eſt certain qu’elle <lb/>eſt la plus grande de ſes perfections: </s> <s xml:id="echoid-s1745" xml:space="preserve">de <lb/>là vient que la felicité des Saincts con- <pb o="113" file="00132" n="131" rhead="& Mathematiques."/> ſiſte dans la parfaite connoiſſance de <lb/>Dieu. </s> <s xml:id="echoid-s1746" xml:space="preserve">D’où il eſt aiſé de conclure qu’il <lb/>n’y a nul threfor, dont la joüiſſance <lb/>puiſſe donner autant de ſatisfaction <lb/>comme fait la poſſeſſion d’vne verité, <lb/>lors qu’elle récontre l eſprit d’vn hom-<lb/>me qui priſe dauantage l’honneſteteé <lb/>quelegain. </s> <s xml:id="echoid-s1747" xml:space="preserve">Car chaque veritérepre-<lb/>ſente la beatitude, dont elle eſt vne <lb/>participartion, & </s> <s xml:id="echoid-s1748" xml:space="preserve">vn rayon, ou vneima-<lb/>ge; </s> <s xml:id="echoid-s1749" xml:space="preserve">& </s> <s xml:id="echoid-s1750" xml:space="preserve">parce que nous cherchons tous <lb/>la felicité, comme noſtre derniere fin, <lb/>& </s> <s xml:id="echoid-s1751" xml:space="preserve">quetoute ſorte de connoiſla<unsure/>nce, & </s> <s xml:id="echoid-s1752" xml:space="preserve"><lb/>de demonſtration ſemble en eſtre vne <lb/>partie, nous receuons vn particulier <lb/>contentemĕt dans la poſſeſſion de cha-<lb/>que connoiſſance, lequel a couſtume <lb/>d’eſtre d’autant plus grand, que la ve-<lb/>rité que nous auons acquiſe, eſt plus <lb/>rare, plus excellente, & </s> <s xml:id="echoid-s1753" xml:space="preserve">plus releuée.</s> <s xml:id="echoid-s1754" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1755" xml:space="preserve">Mais l’autre partie me ſemble plus <lb/>difficile, à ſçauoir pourquoy l’on a plus <lb/>de feu, & </s> <s xml:id="echoid-s1756" xml:space="preserve">d’ardeur à la recherche de la <lb/>verité, que l’on ne reçoit de plaiſir de <lb/>l’auoir trouuée : </s> <s xml:id="echoid-s1757" xml:space="preserve">quoy qu’il ſoit neceſ-<lb/>ſaire de ſçauoir ſi cela eſtveritable, auãt <lb/>que d’ĕ rechercher laraisõ, carpuis que <lb/>l’on n’entteprend point le trauail, que <pb o="114" file="00133" n="132" rhead="Queſtions Phyſiques,"/> pourarriuer au but que l’õs’eſt propoſé, <lb/>il ſemble que le plaiſir que l’on a d’eſtre <lb/>arriué à ce que l’on deſiroit, doit eſtre <lb/>beaucoup plus grãd que celuy que l’on <lb/>ſent dans le trauail: </s> <s xml:id="echoid-s1758" xml:space="preserve">quoy que l’on puiſ-<lb/>ſe dire qu’il a quelque ſorte de plaiſir <lb/>actuel, qui ne ſe rencontre pas dans la <lb/>poſſeſſion, à cauſe du mouuement qui <lb/>l’accompagne, & </s> <s xml:id="echoid-s1759" xml:space="preserve">qui appartient à la vie <lb/>actuelle, au lieu que la joüiſſancereſ-<lb/>ſemble à l’habitude, & </s> <s xml:id="echoid-s1760" xml:space="preserve">au repos, qui eſt <lb/>preſque insĕſible. </s> <s xml:id="echoid-s1761" xml:space="preserve">Et puis l’õ deſire tou-<lb/>ſiours paſſer outre, de ſorte que les ve-<lb/>ritez acquiſes ne ſeruent que de degrez <lb/>pour arriuer à d’aurtes: </s> <s xml:id="echoid-s1762" xml:space="preserve">c’eſt pourquoy <lb/>l’on n’en tient non plus de conte, qu’vn <lb/>homme auare des threſors qu’il a dans <lb/>ſes coffres, carl’homme croid que tout <lb/>luy appartient, & </s> <s xml:id="echoid-s1763" xml:space="preserve">que tout a eſté fait <lb/>pour luy: </s> <s xml:id="echoid-s1764" xml:space="preserve">d’où il arriue quaſi tout ce <lb/>que nous conſiderons dans ſes actions, <lb/>& </s> <s xml:id="echoid-s1765" xml:space="preserve">d’où l’on peut tirer des nouuelles rai-<lb/>ſonspour la Morale.</s> <s xml:id="echoid-s1766" xml:space="preserve"/> </p> <pb o="115" file="00134" n="133" rhead="& Mathematiques."/> </div> <div xml:id="echoid-div60" type="section" level="1" n="59"> <head xml:id="echoid-head88" xml:space="preserve"><emph style="sc">Qvestion</emph> XXIV.</head> <head xml:id="echoid-head89" style="it" xml:space="preserve">pourquoy le chriſtal, le verre, le talc, la<unsure/> cor-<lb/>ne, & pluſieurs autres corps ſont-ils <lb/>dia<unsure/>phanes, ou tranſparens<unsure/>?</head> <p> <s xml:id="echoid-s1767" xml:space="preserve">CEſte difficulté eſt l’vne des plus <lb/>grandes de toute la Philoſophie, <lb/>car quelques raiſons que l’on apporte <lb/>pour la perſpicuité, ou la tranſparence <lb/>des corps diafanes, ou pour l’opacité <lb/>des autres, il n’y en a point qui ſatisfaſ-<lb/>ſent entieremĕt: </s> <s xml:id="echoid-s1768" xml:space="preserve">puis qu’il y a pluſieurs <lb/>corps, dans leſquels l’eau & </s> <s xml:id="echoid-s1769" xml:space="preserve">l’air pre-<lb/>dominent dauantage que dans le chry-<lb/>ſtal, & </s> <s xml:id="echoid-s1770" xml:space="preserve">dans les autres diaphanes qui <lb/>ſont opaques : </s> <s xml:id="echoid-s1771" xml:space="preserve">c’eſt pourquoy l’on ne <lb/>peut, ce ſemble, reſpondre que la tranſ-<lb/>parence des corps vient de l’abondan-<lb/>ce de l’eau, ou de l’air. </s> <s xml:id="echoid-s1772" xml:space="preserve">Quant à la re-<lb/>ctitude des pores, que l’on s’imagine <lb/>eſtre vis à vis les vns des autres lors <lb/>que la lumiere les penetre, il s’enſui-<lb/>uroit que ces corps ſeroient percez de <lb/>part en part, & </s> <s xml:id="echoid-s1773" xml:space="preserve">qu’ils auroient autant <lb/>de trous, qu’il y a derayons qui paſſent <pb o="116" file="00135" n="134" rhead="Queſtions Phyſiques,"/> à trauers; </s> <s xml:id="echoid-s1774" xml:space="preserve">ce quin’a nulle apparence de<unsure/> <lb/>verité. </s> <s xml:id="echoid-s1775" xml:space="preserve">Et certes la matiere, & </s> <s xml:id="echoid-s1776" xml:space="preserve">les <lb/>qualitez des corps diaphanes, ſont ſi <lb/>differentes, qu’elles nous empeſchent <lb/>de trouuer vn principe vniforme de <lb/>leur tranſparĕce, car ſi elle venoit d’v-<lb/>ne parfaire mixtion, ou d’vne meſme <lb/>nature des parties, il ſemble que l’or <lb/>deuroit eſtre le plus diaphane de tous <lb/>les corps: </s> <s xml:id="echoid-s1777" xml:space="preserve">& </s> <s xml:id="echoid-s1778" xml:space="preserve">ſi elle v enoit de l’eau, la <lb/>glace ſeroit plus diaphane que le chry-<lb/>ſtal: </s> <s xml:id="echoid-s1779" xml:space="preserve">finalement ſi elle venoit de l’air, <lb/>les choſes qui ſont plus rares, & </s> <s xml:id="echoid-s1780" xml:space="preserve">plus le-<lb/>geres, ſeroient plus tranſparĕtes, ce qui <lb/>eſt contraire à l’experience, car la pier-<lb/>re ponce, le liege, & </s> <s xml:id="echoid-s1781" xml:space="preserve">pluſieurs autres <lb/>corps fort legers ſont opaques; </s> <s xml:id="echoid-s1782" xml:space="preserve">& </s> <s xml:id="echoid-s1783" xml:space="preserve">le <lb/>talc, quoy que ramaſſé, & </s> <s xml:id="echoid-s1784" xml:space="preserve">terreſtre, eſt <lb/>diaphane; </s> <s xml:id="echoid-s1785" xml:space="preserve">de ſorte qu’il ſemble que la <lb/>dureté, la molleſſe, la peſanteur, la le-<lb/>gereté, la froideur, la chaleur, & </s> <s xml:id="echoid-s1786" xml:space="preserve">toutes <lb/>les autres qualitez ſont compatibles <lb/>auec la tranſparence, & </s> <s xml:id="echoid-s1787" xml:space="preserve">l’opacité; </s> <s xml:id="echoid-s1788" xml:space="preserve">& </s> <s xml:id="echoid-s1789" xml:space="preserve"><lb/>que nous n’auons nul moyen de ſçauoir <lb/>le vray principe de l’vne, ny de l’autre; <lb/></s> <s xml:id="echoid-s1790" xml:space="preserve">dont il ne faur pas s’eſtonner, puis que <lb/>la me<unsure/>ſme choſe arriue quaſi touſiours, <lb/>lors que nous eſſayons à trouuer la rai- <pb o="117" file="00136" n="135" rhead="& Mathematiques."/> ſon primitiue, & </s> <s xml:id="echoid-s1791" xml:space="preserve">originaire des Pheno-<lb/>menes de la nature, dautant que nous <lb/>n’eſtions pas, quand l’on a poſé ſes fon-<lb/>demens, & </s> <s xml:id="echoid-s1792" xml:space="preserve">que ſes effets ne nous mei-<lb/>nent pas aſſez euidemment à la ſource <lb/>pour nous conuaincre, & </s> <s xml:id="echoid-s1793" xml:space="preserve">pour nous <lb/>contraindre de nous y arreſter par la <lb/>force d’vne parfaite demonſtration.</s> <s xml:id="echoid-s1794" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div61" type="section" level="1" n="60"> <head xml:id="echoid-head90" xml:space="preserve"><emph style="sc">Qvestion</emph>XXV.</head> <head xml:id="echoid-head91" style="it" xml:space="preserve">Le froid eſt-il ſeulement vne priuation de <lb/>la chaieur, ou vn eſtre poſitif? ce<unsure/> que l’on <lb/>peut eſtendrc à la lumicre, à l’o, nbre, & à <lb/>pluſieurs autres choſes.</head> <p> <s xml:id="echoid-s1795" xml:space="preserve">L’On peut faire la meſme queſtion <lb/>de l’ombre à l<unsure/>‘égard de la lumiere, <lb/>& </s> <s xml:id="echoid-s1796" xml:space="preserve">de la ſeichereſſe comparée à l’humi-<lb/>dité, car il ſemble que le froid n’eſt rieu<unsure/> <lb/>autre choſe que la priuation de la cha-<lb/>leur, comme l’ombre eſt la priuation de <lb/>la lumiere; </s> <s xml:id="echoid-s1797" xml:space="preserve">car ſi toſt que la chalcur <lb/>manque, le froid ſuccede, qui a<unsure/>ccom-<lb/>pagne le reſtreſſiſſement, & </s> <s xml:id="echoid-s1798" xml:space="preserve">la con-<lb/>denſation des corps, qui auoient e<unsure/>ſté <lb/>rarefiez par la chaleur. </s> <s xml:id="echoid-s1799" xml:space="preserve">Or e<unsure/>õmel om- <pb o="118" file="00137" n="136" rhead="Queſtions Phyſiques,"/> bre n’eſt pas vne entiere priuation de la <lb/>lumiere, mais ſeulement d’vne plus <lb/>grande lumiere, puis qu’elle eſt diſtin-<lb/>cte des tenebres<unsure/>, qui chaſſent toute ſor-<lb/>te de lumiere, le froid n’eſt pas auſſi <lb/>pour l’ordinaire vne priuation de toute <lb/>ſorte de chaleur, car il n’y a peut-eſtre <lb/>nul corps au monde qui n’en ayt quel-<lb/>que degré. </s> <s xml:id="echoid-s1800" xml:space="preserve">Mais parce que l’on ne ſçait <lb/>pas encore quelle eſt la nature de la <lb/>chaleur, il eſt difficile d’expliquer com-<lb/>me arriue le froid, qui depend particu-<lb/>lierement des vents du Septentrion: <lb/></s> <s xml:id="echoid-s1801" xml:space="preserve">ſurquoy l’on peut voir le traité que <lb/>V erulamius a fait des vĕts. </s> <s xml:id="echoid-s1802" xml:space="preserve">De là vient <lb/>que l’obſcurité de la nature, & </s> <s xml:id="echoid-s1803" xml:space="preserve">l’igno-<lb/>rance des raiſons veritables laiſſent la <lb/>liberté de ſ’imaginer que la lumiere, la <lb/>chaleur, & </s> <s xml:id="echoid-s1804" xml:space="preserve">les ſons, ou les mouuemĕs <lb/>peuuent auſſi bien eſtre appellez priua-<lb/>tions des tenebres, du froid, & </s> <s xml:id="echoid-s1805" xml:space="preserve">du ſilen-<lb/>ce, ou du repos, comme le ſilence, le <lb/>froid, & </s> <s xml:id="echoid-s1806" xml:space="preserve">l’ombre, ou les tenebres ſont <lb/>appellées priuations du ſon, du chaud, <lb/>& </s> <s xml:id="echoid-s1807" xml:space="preserve">de la lumiere. </s> <s xml:id="echoid-s1808" xml:space="preserve">Cat ſi la chaleur ſe de-<lb/>finit, ou ſe connoiſt par la rarefactiõ, & </s> <s xml:id="echoid-s1809" xml:space="preserve"><lb/>par d’autres effets réels, la meſme cho-<lb/>ſe arriue au froid, lequel on cõnoiſt pat<unsure/> <pb o="119" file="00138" n="137" rhead="& Mathematiques."/> la cõdenſation, & </s> <s xml:id="echoid-s1810" xml:space="preserve">par ſes autres effets: <lb/></s> <s xml:id="echoid-s1811" xml:space="preserve">& </s> <s xml:id="echoid-s1812" xml:space="preserve">l’œil, ou l’oreille ne nous monſtrent <lb/>pas mieux l’eſsĕce de la lumiere, & </s> <s xml:id="echoid-s1813" xml:space="preserve">des <lb/>ſons, que celle de l’ombre, & </s> <s xml:id="echoid-s1814" xml:space="preserve">du ſilence. </s> <s xml:id="echoid-s1815" xml:space="preserve"><lb/>Neantmoins ie ne veux pas icy faire le <lb/>panegyrique de l’ombre, comme a fait <lb/>Vouuerius dans ſon iour d’Eſté, ou dans <lb/>ſon p &</s> <s xml:id="echoid-s1816" xml:space="preserve">gnion, auquel il eſt aiſé d’ajouſter <lb/>pluſieurs choſes : </s> <s xml:id="echoid-s1817" xml:space="preserve">quoy qu’il ſuffiſe de <lb/>lire cet excellent Autheur, pour com-<lb/>prendre la grande vtilité, & </s> <s xml:id="echoid-s1818" xml:space="preserve">la neceſſi-<lb/>té des ombres, puis que c’eſt d’elles que <lb/>depĕdent la Gnomonique, & </s> <s xml:id="echoid-s1819" xml:space="preserve">l’vne des <lb/>principales parties de la Perſpectiue, de <lb/>l’Architecture, & </s> <s xml:id="echoid-s1820" xml:space="preserve">de la Geodeſie.</s> <s xml:id="echoid-s1821" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1822" xml:space="preserve">Or encore que nous ne ſçachions pas <lb/>la nature de la lumiere, & </s> <s xml:id="echoid-s1823" xml:space="preserve">que l’on ne <lb/>puiſſe demonſtrer qu’elle eſt plus poſi-<lb/>tiue, que l’ombre, ou les tenebres, par-<lb/>ce que l’on n’a pas de raiſon aſſez eui-<lb/>dente pour ioindre les deux extremi-<lb/>tez qui doiuent entrer dans la demon-<lb/>ſtration, neantmoins nous ſentons dans <lb/>nous-meſmes quelque ſorte de con-<lb/>trainte, qui nous fait croire que la cha-<lb/>leur, & </s> <s xml:id="echoid-s1824" xml:space="preserve">la lumiere ſont des eſtres poſi-<lb/>tifs, & </s> <s xml:id="echoid-s1825" xml:space="preserve">que leurs contraires meritent le <lb/>nom de priuation. </s> <s xml:id="echoid-s1826" xml:space="preserve">L’on peut dire la <pb o="120" file="00139" n="138" rhead="Queſtions Phyſiques,"/> meſme choſe de l’humidiré, àl’égard de <lb/>la ſeichercſſe, qui ſuit neceſſairement <lb/>dans les corps, dont on oſte l’humidité, <lb/>& </s> <s xml:id="echoid-s1827" xml:space="preserve">medirer ce qui ſe peut dire de l’eſtre <lb/>comparé au neant, qui a eſté mis par <lb/>quelques Philoſophes pour le principe <lb/>de toutes choſes, au contraire de ceux <lb/>qui<unsure/> ont tenu que nulle choſe ne ſe peut <lb/>faire de rien, @x nihilo nibil: </s> <s xml:id="echoid-s1828" xml:space="preserve">ce qui peut <lb/>eſtre veritable en vn ſens, parce que <lb/>chaque crcature eſt tirée de l’eſtre en <lb/>puiſſance, qui n’eſt pas vn rien, ou vn <lb/>neant ſi abſolu, que le non eſtre, qui <lb/>n’a pas meſme<unsure/> la puiſſance d’eſtre, c’eſt <lb/>à dire qui n’enferme nulle poſſibilité, & </s> <s xml:id="echoid-s1829" xml:space="preserve"><lb/>qui n’a nul ordre, ou rapport à la puiſ-<lb/>ſance de Dieu.</s> <s xml:id="echoid-s1830" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div62" type="section" level="1" n="61"> <head xml:id="echoid-head92" xml:space="preserve"><emph style="sc">Qvestion</emph> XXVI.</head> <head xml:id="echoid-head93" style="it" xml:space="preserve">Des inuentions & des ſecrets que l’on re-<lb/>cherche, ou que l’on deſire dauantage <lb/>dans les arts, & dans les ſciences.</head> <p> <s xml:id="echoid-s1831" xml:space="preserve">L’On ſçait que les Chymiſtes re-<lb/>cherchent, & </s> <s xml:id="echoid-s1832" xml:space="preserve">deſirent particulie-<lb/>ment la pierre Phyſique, & </s> <s xml:id="echoid-s1833" xml:space="preserve">la poudre, <pb o="121" file="00140" n="139" rhead="& Mathematiques."/> qui aille ſur le blanc<unsure/>, ou ſur le rouge, <lb/>pour conuertir le mercure, le plomb, & </s> <s xml:id="echoid-s1834" xml:space="preserve"><lb/>les autres metaux en or, ou en argent, <lb/>& </s> <s xml:id="echoid-s1835" xml:space="preserve">que pour ce ſujet ils eſſayent à tirer <lb/>le mercure du plomb pour le fixer, & </s> <s xml:id="echoid-s1836" xml:space="preserve"><lb/>l’eſprit, ou la teinture de l’or, dont vne <lb/>goute puiſſe penetrer & </s> <s xml:id="echoid-s1837" xml:space="preserve">teindre vne <lb/>grande quantité de vif argent, quoy <lb/>qu’ils y perdent tout le temps qu’ils y <lb/>employent. </s> <s xml:id="echoid-s1838" xml:space="preserve">Les T’einturiers chcrchent <lb/>la pourpre des anciens, qu ils appellent <lb/>ſouuent Murex, & </s> <s xml:id="echoid-s1839" xml:space="preserve">conch<unsure/>ylium, comme <lb/>l’on peut voir dãs les notes de Salmuth <lb/>ſur Pancirolle; </s> <s xml:id="echoid-s1840" xml:space="preserve">& </s> <s xml:id="echoid-s1841" xml:space="preserve">les Vitriers eſſayent <lb/>de trouuer vn rouge tranſparĕr, & </s> <s xml:id="echoid-s1842" xml:space="preserve">vne <lb/>maniere de teindre le verre en couleur <lb/>de Rubi par le moyen de la poudre, ou <lb/>de l’eſprit de l’or. </s> <s xml:id="echoid-s1843" xml:space="preserve">Ceux qui trauaillent <lb/>à la Mechanique, cherchent le mou-<lb/>uement perpetuel dans l’eau, dans les <lb/>roüës, & </s> <s xml:id="echoid-s1844" xml:space="preserve">dans toutes ſortes de reſſorts, <lb/>& </s> <s xml:id="echoid-s1845" xml:space="preserve">la maniere de cheminer ſur l’eau ſans <lb/>enfoncer, & </s> <s xml:id="echoid-s1846" xml:space="preserve">de voler en l’air. </s> <s xml:id="echoid-s1847" xml:space="preserve">A quoy <lb/>l’on peut adiouſter les Ingenieurs, qui <lb/>deſirent vne place ſi biĕ fortifiée qu’el-<lb/>le ſoit imprenable, comme eſt celle, <lb/>que propoſe Bernard Paliſſy dans le li-<lb/>ure qu’il a fait ſur ce ſuiet; </s> <s xml:id="echoid-s1848" xml:space="preserve">& </s> <s xml:id="echoid-s1849" xml:space="preserve">les Archi- <pb o="122" file="00141" n="140" rhead="Queſtions Phyſiques,"/> tectes, qui n’ont pas encore trouué, ou <lb/>prouué par raiſon, quel doit eſtre le ba-<lb/>ſtiment, dans lequel l’on ne puiſſe rien <lb/>adjouſter, ni quãt à la bcauté, ni quant <lb/>à l’vtilité.</s> <s xml:id="echoid-s1850" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1851" xml:space="preserve">Ceux qui font le verre de ſalicor, & </s> <s xml:id="echoid-s1852" xml:space="preserve"><lb/>des autres matieres, deſirent rĕcontrer <lb/>la maieabilité, quoi qu’elle ait couſté la <lb/>vie<unsure/> à ceux qui l’auoiĕt trouuée, ſi les hi-<lb/>ſtoires ne nous trompcnt: </s> <s xml:id="echoid-s1853" xml:space="preserve">finalement il <lb/>n’y a nul art qui n’ait ſes pretenſions, <lb/>qui ſurpaſſent touſiou<unsure/>rs l’induſtrie des <lb/>hommes, comme il eſt ayſé de mõſtrer <lb/>par vne longue induction, que ie laiſſe <lb/>à ceux qui la voudront faire.</s> <s xml:id="echoid-s1854" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1855" xml:space="preserve">Quant aux ſciences, elles ne ſont pas <lb/>plus parfaites que les arts, car l’on n’a <lb/>encore peu demonſtrer ſi la quadratu-<lb/>re du cercle eſt impoſſible, ou ſi elle <lb/>peut eſtre trouuée: </s> <s xml:id="echoid-s1856" xml:space="preserve">& </s> <s xml:id="echoid-s1857" xml:space="preserve">il y a mille pro-<lb/>blemes qui concem<unsure/>ent la quantite cõ-<lb/>tinuë, & </s> <s xml:id="echoid-s1858" xml:space="preserve">la diſcrete, dont pluſieurs <lb/>Mathematiciens recherchent en vain <lb/>la ſolution, parce qu’ils nc<unsure/> ſçauent pas <lb/>le chemin qu’il y faut tenir. </s> <s xml:id="echoid-s1859" xml:space="preserve">Nul Mu-<lb/>ſicien n’a encore trouué la maniere de <lb/>produire les effets dont ſe vantent les <lb/>Grecs, & </s> <s xml:id="echoid-s1860" xml:space="preserve">nul Catoptricien ou Miroüet- <pb o="123" file="00142" n="141" rhead="&Mathematiques."/> tier n’a fait de miroirs qui ayent l’effet<unsure/> <lb/>de ceux d’Archimede, ou de Proclus. <lb/></s> <s xml:id="echoid-s1861" xml:space="preserve">Les Dioptriciens, ou Lunettiers n’ont <lb/>peu rencontrer de lunettes à longue <lb/>veuë, quifaſſent voir les traits du viſa-<lb/>ſe de 7. </s> <s xml:id="echoid-s1862" xml:space="preserve">ou 8. </s> <s xml:id="echoid-s1863" xml:space="preserve">lieuës, & </s> <s xml:id="echoid-s1864" xml:space="preserve">qui ſeruent à <lb/>lire, ou à voir ce quieſt ſur la Lune, ou <lb/>ſur les autt<unsure/>es aſtres, encore que la ſciĕ-<lb/>ce leur enſeigne que l’õ peut repreſen <lb/>ter vn ciron auſſi gros qu’vne maiſon, <lb/>& </s> <s xml:id="echoid-s1865" xml:space="preserve">vne maiſon auſli petite qu’vn ciron. </s> <s xml:id="echoid-s1866" xml:space="preserve"><lb/>Ceux qui deſirent ſçauoir ce que les <lb/>ancicns ont eu dauantage que nous dãs <lb/>les arts, & </s> <s xml:id="echoid-s1867" xml:space="preserve">ce que l’on a tt<unsure/>ouué de nou-<lb/>ueau dans nos derniers ſiecles, peuuent <lb/>lire Pancirolle, quia fait deux volumes <lb/>ſur ce ſujet.</s> <s xml:id="echoid-s1868" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div63" type="section" level="1" n="62"> <head xml:id="echoid-head94" xml:space="preserve"><emph style="sc">Qvestion</emph> XXVII.</head> <head xml:id="echoid-head95" style="it" xml:space="preserve">Combien la pierre d’ Aymant a-clle de <lb/>proprictcz?</head> <p> <s xml:id="echoid-s1869" xml:space="preserve">ENcore que nous ne puiſſions ſça-<lb/>uoir toutes les proprietez des corps <lb/>naturels, parce que nous ne ſçauons pas <lb/>le principe, & </s> <s xml:id="echoid-s1870" xml:space="preserve">la ſource d’où elles deri- <pb o="124" file="00143" n="142" rhead="Queſtions Phyſiques,"/> uent, ny toutes les differentes rencon-<lb/>tres qui modifient, & </s> <s xml:id="echoid-s1871" xml:space="preserve">qui empeſchent, <lb/>ou aydent leurs effects, neantmoins il <lb/>eſt ayſé de remarquer tous les pheno-<lb/>menes , qui nous paroiſſent dans les <lb/>corps differens, comme iefais icy dans <lb/>la pierre d’Aymant, qui peut eſtre con-<lb/>ſiderée à l’égard du Ciel, vers lequel <lb/>elle ſe tourne, ou du fer qu’elle attire. <lb/></s> <s xml:id="echoid-s1872" xml:space="preserve">Quant à l’égard du Ciel, toutes ſes par-<lb/>ti<unsure/>es en regardent vn certain point, ce <lb/>qui dépend de ſa conuerſion vers le po-<lb/>le Arctique , car lors qu’on fait nager <lb/>cette pierre ſur l’eau par le moyen du <lb/>li<unsure/>ege, ou en quelqu’autre maniere, elle <lb/>tourne l’vn de ſes coſtez vers le Septen-<lb/>trion : </s> <s xml:id="echoid-s1873" xml:space="preserve">mais il eſt difficile de ſçauoir ſi ce <lb/>coſté de la pierre eſt Meridional , ou <lb/>Septentrional, d’autant qu’il faut frot-<lb/>ter le bout des aiguilles du coſté qu’el-<lb/>le tourne vers le Mi<unsure/>dy , pour les faire <lb/>tourner vers le Septentrion, car f’il eſt <lb/>frotté du coſté de la pierre , qui va vers <lb/>le Septĕ<unsure/>trion, il ira vers le Midy. </s> <s xml:id="echoid-s1874" xml:space="preserve">Mais <lb/>elle ne tourne pas touſiours l’vn de ces <lb/>coſtez iuſtement vers le Pole, car elle <lb/>decline tantoſt vers l Orient<unsure/>, & </s> <s xml:id="echoid-s1875" xml:space="preserve">d’au-<lb/>tresfois vers l’Occi<unsure/>dent, ſelon qu’il y @ <pb o="125" file="00144" n="143" rhead="& Mathematiques."/> vneplus grande maſſe de terre, ou plus <lb/>ou moins de mer d’vn coſté, ou d’au-<lb/>tre. </s> <s xml:id="echoid-s1876" xml:space="preserve">Ce qui arriue ſemblablement aux <lb/>aiguilles qui en ſont touchées, & </s> <s xml:id="echoid-s1877" xml:space="preserve">qui <lb/>deuiennent plus peſantes que deuant <lb/>d’vn grain, ou enuiron, ſelon la bonté <lb/>de la pierre, quiles touche, ſoit que ſes <lb/>eſprits corporels s’inſinuënt dans les <lb/>pores des aiguilles, ou qu’elle leur don-<lb/>ne vne vertu particuliere de deſcendre <lb/>en bas.</s> <s xml:id="echoid-s1878" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1879" xml:space="preserve">Or quand on les veuttoucher, il faut <lb/>choiſir la ligne de la pierre, qui va du <lb/>Midy au Septentrion, & </s> <s xml:id="echoid-s1880" xml:space="preserve">la conduire <lb/>ſelon cette ligne par deſſus l’aiguille, <lb/>juſques à ce que l’on ſoit au bout, ſur <lb/>lequelil faut demeurer vn peu de tĕps, <lb/>afin que la pierre luy communique vne <lb/>plus grande vertu : </s> <s xml:id="echoid-s1881" xml:space="preserve">car encore queles <lb/>bonnes pierres la c<unsure/>ommuniquent à l’a-<lb/>cier, & </s> <s xml:id="echoid-s1882" xml:space="preserve">au fer ſans les toucher, neant-<lb/>moins il eſt meilleur de les toucher, <lb/>comme j’ay dit.</s> <s xml:id="echoid-s1883" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1884" xml:space="preserve">Quant à la traction du fer, elle en ti-<lb/>re d’autant plus peſant qu’elle eſt meil-<lb/>leure, comme i’ay experimenté auec <lb/>vne, qui leue 2. </s> <s xml:id="echoid-s1885" xml:space="preserve">fois auſſi peſant de fe<unsure/>r <lb/>comme elle eſt, encore qu’elle ne ſoit <pb o="126" file="00145" n="144" rhead="Queſtions Phyſiques,"/> pas armée: </s> <s xml:id="echoid-s1886" xml:space="preserve">& </s> <s xml:id="echoid-s1887" xml:space="preserve">l’on en rencontre quile-<lb/>uent 8. </s> <s xml:id="echoid-s1888" xml:space="preserve">ou i<unsure/>o. </s> <s xml:id="echoid-s1889" xml:space="preserve">fois auſſi peſant comme <lb/>elles ſont. </s> <s xml:id="echoid-s1890" xml:space="preserve">Quand elles ſont armées, <lb/>ou accõpagnées de 2. </s> <s xml:id="echoid-s1891" xml:space="preserve">pe<unsure/>tits morceaux <lb/>d’aciér par leurs 2. </s> <s xml:id="echoid-s1892" xml:space="preserve">poles, elles deuien-<lb/>nent cent fois plus fortes qu’elles n’e-<lb/>ſtoient deuant : </s> <s xml:id="echoid-s1893" xml:space="preserve">ce<unsure/> qui eſt ſi veritable <lb/>quei’en ay veu qui ne pcuuent quaſi le-<lb/>uer vne petite aiguille eſtãt deſarmées, <lb/>encore qu’elles leuent plus d’vne liure <lb/>de fer, ſ<unsure/>i toſt qu’elles ſont armées : </s> <s xml:id="echoid-s1894" xml:space="preserve">où <lb/>l’on doit remarquer que la pierre, & </s> <s xml:id="echoid-s1895" xml:space="preserve">le <lb/>fer n’ayant nulle force d’attirer d’autre <lb/>fer, conçoiu<unsure/>ent cette force parla con-<lb/>jonction de l’vn auec l’autre, commeil <lb/>arriue à la matiere, & </s> <s xml:id="echoid-s1896" xml:space="preserve">à la forme. </s> <s xml:id="echoid-s1897" xml:space="preserve">L’vn <lb/>des plus gentils effets de cette pierre ſe <lb/>void lors qu’elle enleue deux ou 3. </s> <s xml:id="echoid-s1898" xml:space="preserve">pi-<lb/>roüettes, que l’on fait tourner ſur vne <lb/>table, car elle les tient en l’air, tandis <lb/>qu’elles continuënt leur mouuement, <lb/>qui dure 5. </s> <s xml:id="echoid-s1899" xml:space="preserve">ou 6. </s> <s xml:id="echoid-s1900" xml:space="preserve">fois dauantage qu’il <lb/>n’euſt fait ſur la table : </s> <s xml:id="echoid-s1901" xml:space="preserve">& </s> <s xml:id="echoid-s1902" xml:space="preserve">ſi l’on en fait <lb/>tourner vne autre à rebours, elle la leue <lb/>encore, & </s> <s xml:id="echoid-s1903" xml:space="preserve">l’entretient dans ce mouue-<lb/>ment contraire à celuy de la premiere: <lb/></s> <s xml:id="echoid-s1904" xml:space="preserve">& </s> <s xml:id="echoid-s1905" xml:space="preserve">finalement ſi on luy preſente vn@ <lb/>troiſieſme piroüette immobile, elle la <pb o="127" file="00146" n="145" rhead="& Mathematiques."/> leue auſſi, & </s> <s xml:id="echoid-s1906" xml:space="preserve">la fait tourner comme la <lb/>piroüette, à l’eſſieu de laquelle elle s’at-<unsure/> <lb/>tache : </s> <s xml:id="echoid-s1907" xml:space="preserve">mais cette derniere piroüette <lb/>continuë ſon mouuement long temps <lb/>apres que celle dont elle l’a reçeu, a fini <lb/>le ſien : </s> <s xml:id="echoid-s1908" xml:space="preserve">ce qui eſt aſſez merueilleux. <lb/></s> <s xml:id="echoid-s1909" xml:space="preserve">le @aiſſe pluſieurs particularitez de cet-<lb/>te pierre : </s> <s xml:id="echoid-s1910" xml:space="preserve">par exemple, queie<unsure/> fer qu’el-<lb/>le aura touché en la menant d’A à B. </s> <s xml:id="echoid-s1911" xml:space="preserve"><lb/>perd ſa vertu d’attraction, ſi toſt que <lb/> <anchor type="figure" xlink:label="fig-00146-01a" xlink:href="fig-00146-01"/> l’on remeine l’A ymãt <lb/>de B de à A ; </s> <s xml:id="echoid-s1912" xml:space="preserve">que ſi ce fer <lb/>A B eſt leué perpendiculairement, de <lb/>ſorte que B ſoit en haut, & </s> <s xml:id="echoid-s1913" xml:space="preserve">A en bas, <lb/>qu’èn conduiſant l’éguille d’A à B, elle <lb/>ſeretourne ſitoſt qu’elle arriue vers le <lb/>milieu C, & </s> <s xml:id="echoid-s1914" xml:space="preserve">pluſieurs autr<unsure/>es, dontie ne <lb/>veux pas parler iuſques à ce que i’aye <lb/>verifié les experiences de Gilbert, & </s> <s xml:id="echoid-s1915" xml:space="preserve">de <lb/>Cabeus, & </s> <s xml:id="echoid-s1916" xml:space="preserve">que i’en aye remarqué de <lb/>nouuelles.</s> <s xml:id="echoid-s1917" xml:space="preserve"/> </p> <div xml:id="echoid-div63" type="float" level="2" n="1"> <figure xlink:label="fig-00146-01" xlink:href="fig-00146-01a"> <image file="00146-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00146-01"/> </figure> </div> </div> <div xml:id="echoid-div65" type="section" level="1" n="63"> <head xml:id="echoid-head96" xml:space="preserve"><emph style="sc">Qvestion</emph> XXVIII.</head> <head xml:id="echoid-head97" style="it" xml:space="preserve">Peut-on prouuer, ou confirmer les myſteres <lb/>de la Religion Chreſtienne par les opera-<lb/>tions, & les principes de l’ Alchymie?</head> <p> <s xml:id="echoid-s1918" xml:space="preserve">PLuſieurs ſe ſont efforcez de confir-<lb/>mer les myſteres de la Rcligion <pb o="128" file="00147" n="146" rhead="Queſtions Phyſiques,"/> Chreſtienne par les operations, & </s> <s xml:id="echoid-s1919" xml:space="preserve">par <lb/>les principes de l’Alchymie, dont ils ſe <lb/>ſont ſeruis pour tirer des comparaiſons, <lb/>qui ſont meilleures, à leur aduis, pour <lb/>fair<unsure/>e comprendre les articles de la Foy, <lb/>que celles dont S. </s> <s xml:id="echoid-s1920" xml:space="preserve">Chry ſo ſtome & </s> <s xml:id="echoid-s1921" xml:space="preserve">les <lb/>autres Peres de l’Egliſe ont vſé pour le <lb/>meſme ſujet. </s> <s xml:id="echoid-s1922" xml:space="preserve">De là vient qu’ils ont dit <lb/>que le ſel , ou lemercure de la nature, <lb/>qui demeure touſiours incorruptible, <lb/>& </s> <s xml:id="echoid-s1923" xml:space="preserve">qui conſerue, & </s> <s xml:id="echoid-s1924" xml:space="preserve">nourrit tous les in-<lb/>diuidus corporels, repreſente Dieu ; </s> <s xml:id="echoid-s1925" xml:space="preserve">& </s> <s xml:id="echoid-s1926" xml:space="preserve"><lb/>que ſa chaleur naturelle, qui engendre <lb/>l humide radical, eſt la figure du Pere, <lb/>quiengendre le Fils ; </s> <s xml:id="echoid-s1927" xml:space="preserve">& </s> <s xml:id="echoid-s1928" xml:space="preserve">finalement que <lb/>le ſec vni<unsure/>t l’vn & </s> <s xml:id="echoid-s1929" xml:space="preserve">l’autre, comme le S. <lb/></s> <s xml:id="echoid-s1930" xml:space="preserve">Eſprit vnit le Pere & </s> <s xml:id="echoid-s1931" xml:space="preserve">le Fils: </s> <s xml:id="echoid-s1932" xml:space="preserve">de ſorte <lb/>qu’ils croyent que ceſte premiere ma-<lb/>tiere contient beaucoup de proprietez <lb/>de la Trinité : </s> <s xml:id="echoid-s1933" xml:space="preserve">ce qu’ils confirment par <lb/>le nom duſel, que les Hebreux appel. </s> <s xml:id="echoid-s1934" xml:space="preserve"><lb/>lent Mclach, qui vant 78. </s> <s xml:id="echoid-s1935" xml:space="preserve">lequel diuiſé <lb/>par 3. </s> <s xml:id="echoid-s1936" xml:space="preserve">donne le nombre 26. </s> <s xml:id="echoid-s1937" xml:space="preserve">quieſt ſa-<lb/>cré, à raiſon qu’il eſt ſignifié par le nom <lb/>Tetragramme Iehoua.</s> <s xml:id="echoid-s1938" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1939" xml:space="preserve">A qu@y ils adjouſtent que l’eſprit du <lb/>monde, qui deſcend du premier mobi-<lb/>le par le Firmament, & </s> <s xml:id="echoid-s1940" xml:space="preserve">par les Planet- <pb o="129" file="00148" n="147" rhead="& Mathematiques."/> tes, don<unsure/>t il attire la vertu, vient s’incor-<lb/>porer auec la maſſe terreſtre, qu’il pur-<lb/>ge de ſes imperfections en endurant la <lb/>mort, & </s> <s xml:id="echoid-s1941" xml:space="preserve">en deuenant apres plus clair, & </s> <s xml:id="echoid-s1942" xml:space="preserve"><lb/>plus glorieux pour engendrer d’autres <lb/>indiuidus plus excellens, & </s> <s xml:id="echoid-s1943" xml:space="preserve">pour pur-<lb/>ger l’ordure des metaux imparfaicts, <lb/>afin de les conuertir en vn or treſ-pur, <lb/>comme le Fils de Dieu deſcend dans <lb/>les entrailles de la Vierge, pour mourir <lb/>pour nous, & </s> <s xml:id="echoid-s1944" xml:space="preserve">pour reſuſciter plus glo-<lb/>rieux , afin de nous transformer par le <lb/>diuin aliment de l’Euchariſtie, & </s> <s xml:id="echoid-s1945" xml:space="preserve">de <lb/>nous rendre ſemblables à luy. </s> <s xml:id="echoid-s1946" xml:space="preserve">Ie laiſſe <lb/>ce qu’ils diſent des operations de leur <lb/>laboratoire, pour prouuer les 7. </s> <s xml:id="echoid-s1947" xml:space="preserve">Sacre-<lb/>mens, la reſurrection des morts, & </s> <s xml:id="echoid-s1948" xml:space="preserve">plu-<lb/>ſieut<unsure/>s autres choſ<unsure/>es, d’autãt que ie n’e-<lb/>ſtime pas que ces comparaiſons puiſ-<lb/>ſent apporter plus de clarté à nos my-<lb/>ſteres, que les comparaiſons ordinaires, <lb/>que l’on prend de la lumiere des aſtres, <lb/>& </s> <s xml:id="echoid-s1949" xml:space="preserve">de la proprieté des Elemens, & </s> <s xml:id="echoid-s1950" xml:space="preserve">des <lb/>mixtes. </s> <s xml:id="echoid-s1951" xml:space="preserve">Et puis j<unsure/>‘ay experimenté que <lb/>pluſieurs Chymiſtes ſe perdent telle-<lb/>ment dans ces caprices, qu’au licu de <lb/>demeurer dans la ſeule comparaiſon, <lb/>ils s’imaginent que leur ſec, leur chaud, <pb o="130" file="00149" n="148" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s1952" xml:space="preserve">leur humide, c’eſt à dire le ſel, le ſoul-<lb/>fre, & </s> <s xml:id="echoid-s1953" xml:space="preserve">le Mercure, doiuent principale-<lb/>ment eſtre ente<unsure/>ndus par le myſtere de <lb/>la Trinité, & </s> <s xml:id="echoid-s1954" xml:space="preserve">que leur agent vniuerſel <lb/>dégagé des impuretez tant ſpecifiques, <lb/>qu indiuiduelles eſt Dieu : </s> <s xml:id="echoid-s1955" xml:space="preserve">que lesim-<lb/>puretez ſont les eſprits malins ; </s> <s xml:id="echoid-s1956" xml:space="preserve">& </s> <s xml:id="echoid-s1957" xml:space="preserve">que <lb/>les fêces, ou le Capn<unsure/>t mortuum. </s> <s xml:id="echoid-s1958" xml:space="preserve">ſont l’en-<lb/>fer: </s> <s xml:id="echoid-s1959" xml:space="preserve">de ſorte qu’ils ont voulu donner vn <lb/>ſens naturel à l’Eſc<unsure/>riture ſaincte, com-<lb/>meont fait K unrath dans ſon Amphi-<lb/>teatre, Flud dans tous ſes liures, & </s> <s xml:id="echoid-s1960" xml:space="preserve">plu-<lb/>ſieurs autres, comme ſi le ſeul vray ſens <lb/>de l’Eſc<unsure/>riture ne ſe deuoit entendre<unsure/> <lb/>que de la poudre, ou de la pierre Phyſi-<lb/>que, ce qu’ils diſent, & </s> <s xml:id="echoid-s1961" xml:space="preserve">eſſayent auec <lb/>vneimpieté d’autant plus grande qu’ils <lb/>la cachent aue<unsure/>c<unsure/> plus d’accortiſe, & </s> <s xml:id="echoid-s1962" xml:space="preserve">d’a-<lb/>dreſle ſouz le voile de la pieté. </s> <s xml:id="echoid-s1963" xml:space="preserve">C’eſt <lb/>pourquoy il faut y prendre garde, & </s> <s xml:id="echoid-s1964" xml:space="preserve"><lb/>ſuiure en ce ſu@et la cĕſure que les Do-<lb/>cteurs de Sorbonne ont fait des œuures <lb/>dudit Kunrath, & </s> <s xml:id="echoid-s1965" xml:space="preserve">croire que la Reli-<lb/>gion Chreſtienne n’a pas affaire de la <lb/>Chymie pour ſa confirmation, ou pour <lb/>ſa deffence, & </s> <s xml:id="echoid-s1966" xml:space="preserve">qu’elle luy nuiſt plus en <lb/>la bouche de ceux qui cherchĕt le ſens <lb/>alchymiſte dans les paroles de Dieu, <pb o="131" file="00150" n="149" rhead="& Mathematiques."/> dans le liu@e de Thomas à Kempis de <lb/>l’Imitation de Ieſus-Chriſt, ou meſme <lb/>dans les lïures Sacrez , qu’elle ne luy <lb/>ſert, comme l’on aduoüera librement, <lb/>quand on l’aura experimenté.</s> <s xml:id="echoid-s1967" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1968" xml:space="preserve">Ie ne veux pas neantmoins condam-<lb/>ner tous les Chymiſtes, qui comparent <lb/>le Bapteſme à la calcination, & </s> <s xml:id="echoid-s1969" xml:space="preserve">à la lo-<lb/>tion, d@nt ils vſent pour épurer les mix-<lb/>tes : </s> <s xml:id="echoid-s1970" xml:space="preserve">ni ceux qui trouuent de la reſſem-<lb/>blance entre la Confirmation & </s> <s xml:id="echoid-s1971" xml:space="preserve">la fixa-<lb/>tion ; </s> <s xml:id="echoid-s1972" xml:space="preserve">entre l’Euchariſtie, & </s> <s xml:id="echoid-s1973" xml:space="preserve">la pierre <lb/>Phyſique : </s> <s xml:id="echoid-s1974" xml:space="preserve">entre la Penitence, la cal-<lb/>cination, la putrefaction, & </s> <s xml:id="echoid-s1975" xml:space="preserve">la diſſolu-<lb/>tion ; </s> <s xml:id="echoid-s1976" xml:space="preserve">entre l’Extreme Onctiõ, & </s> <s xml:id="echoid-s1977" xml:space="preserve">l’hui-<lb/>le de vie, par le moyen de laquelle ils <lb/>diſent que les metaux imparfaits ſe cõ-<lb/>uertiſlent en or, comme ils prouuent <lb/>par le clou du cabinet de Florĕce, qu’ils <lb/>diſent eſtre moitié fer & </s> <s xml:id="echoid-s1978" xml:space="preserve">moitié or : </s> <s xml:id="echoid-s1979" xml:space="preserve">en-<lb/>tre les Ordres ſacrez, & </s> <s xml:id="echoid-s1980" xml:space="preserve">l’huile meſlé <lb/>auec les cendres du ſel treſ-parfaict, <lb/>qu’ils appellent le ſauon des ſages; </s> <s xml:id="echoid-s1981" xml:space="preserve">& </s> <s xml:id="echoid-s1982" xml:space="preserve">fi-<lb/>nalement entre le mariage, & </s> <s xml:id="echoid-s1983" xml:space="preserve">le ſoulfre <lb/>metallique rouge, & </s> <s xml:id="echoid-s1984" xml:space="preserve">blanc<unsure/>, d’ oùils ti-<lb/>rent leur Elixir Arabique : </s> <s xml:id="echoid-s1985" xml:space="preserve">parce que ie <lb/>ne doute nullemĕt qu’il n’y en ait quel-<lb/>ques-vns quile font à bonne intention, <pb o="132" file="00151" n="150" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s1986" xml:space="preserve">qui ne prennent les operations Chy-<lb/>miques que pour de ſim<unsure/>ples comparai-<lb/>ſons, & </s> <s xml:id="echoid-s1987" xml:space="preserve">des ombres de nos my ſteres.</s> <s xml:id="echoid-s1988" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1989" xml:space="preserve">Mais il n’y a pas grande apparence <lb/>des’@maginer que l’on les puiſſe prou-<lb/>uer, ou perſuader par cette voye, atten-<lb/>du qu’il y a pluſieurs Caluiniſtes, Lu-<lb/>theriens, Iuifs, Turcs, Arabes, &</s> <s xml:id="echoid-s1990" xml:space="preserve">c. </s> <s xml:id="echoid-s1991" xml:space="preserve">qui <lb/>ſçauent auſſi bien la Chymie que les <lb/>Catholiques, quoy qu’ils ne vueillent <lb/>pas embraſſer les 7. </s> <s xml:id="echoid-s1992" xml:space="preserve">Sacremens, ny les <lb/>autres myſteres de noſtre Foy.</s> <s xml:id="echoid-s1993" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1994" xml:space="preserve">Or il faudroit examiner ſi Dieu a tel-<lb/>lement compoſé la nature@ des corps, <lb/>que leur diſſolution, & </s> <s xml:id="echoid-s1995" xml:space="preserve">tout ce qu’ils <lb/>peuuent faire, ou endurer, repreſente <lb/>tout ce qui appartient à la Religion <lb/>Chreſtienne : </s> <s xml:id="echoid-s1996" xml:space="preserve">car il n’y a nul doute qu’il <lb/>l’a peu faire ; </s> <s xml:id="echoid-s1997" xml:space="preserve">mais il n y a pas moyen de <lb/>connoiſtre s’il l’a fait, s’il ne le reuele, <lb/>parce que nous ne ſçauõs pas la manie-<lb/>re qu’il a tenuë à la compoſition. </s> <s xml:id="echoid-s1998" xml:space="preserve">& </s> <s xml:id="echoid-s1999" xml:space="preserve">à <lb/>l’arrengement des parties du monde, <lb/>& </s> <s xml:id="echoid-s2000" xml:space="preserve">de chaque indiuidu.</s> <s xml:id="echoid-s2001" xml:space="preserve"/> </p> <pb o="133" file="00152" n="151" rhead="& Mathematiques."/> </div> <div xml:id="echoid-div66" type="section" level="1" n="64"> <head xml:id="echoid-head98" xml:space="preserve">COROLLAIRE.</head> <head xml:id="echoid-head99" style="it" xml:space="preserve">De la Cenſure de la Sorbonne, contre le <lb/>liure de Kunrath.</head> <p> <s xml:id="echoid-s2002" xml:space="preserve">I’ay creu que ceux qui reſpectent la <lb/>Sacrée Faculté de la Sorbonne ſeront <lb/>bien ayſes deconſiderer le iugement, <lb/>& </s> <s xml:id="echoid-s2003" xml:space="preserve">la cenſure qu’elle a fait de l’Amphi-<lb/>teatre de Henri Kunrath, & </s> <s xml:id="echoid-s2004" xml:space="preserve">que l’on <lb/>connoiſtra par cet aduis en quoy peſ-<lb/>chentles liures de Chymie, c’eſtpour-<lb/>quoy ie le metsicy.</s> <s xml:id="echoid-s2005" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div67" type="section" level="1" n="65"> <head xml:id="echoid-head100" style="it" xml:space="preserve">La Sacrée Faculté de la Theologie de Paris, <lb/>à tous les Cathθ<unsure/>liques.</head> <p> <s xml:id="echoid-s2006" xml:space="preserve">PViſque l’Apoſtre nous enj<unsure/>oint d’é-<lb/>prouuer toutes choſes, & </s> <s xml:id="echoid-s2007" xml:space="preserve">derete-<lb/>nir ce qui eſt bon, ayant apperceu que <lb/>depuis quelques mois les Catholiqucs <lb/>ont vn certain liurc treſ-pcrnicieux en-<lb/>tre les mains, dans lequel il y a premie-<lb/>rement quelques figures, & </s> <s xml:id="echoid-s2008" xml:space="preserve">puis plu-<lb/>ſieurs explicatiõs de diuers paflàges de <lb/>la ſaincte Eſcriture diſpoſées par ſept <pb o="134" file="00153" n="152" rhead="Queſtions Phyſiques,"/> degrez, & </s> <s xml:id="echoid-s2009" xml:space="preserve">finalement quelques corol-<lb/>laires, & </s> <s xml:id="echoid-s2010" xml:space="preserve">dont le tiltrceſt, l’ Amphil<unsure/>. </s> <s xml:id="echoid-s2011" xml:space="preserve">@@re <lb/>Chriſtianocabaliſtique Din<unsure/>inc<unsure/>mo<unsure/>g que, <lb/>Phyſico chymique<unsure/>, Tertriun-c<gap/>, de <lb/>la ſageſſe<unsure/> eternelle ſ@u<unsure/>le verite<unsure/>ble, pa<unsure/>r Ho<unsure/>nri <lb/>Kunrath de Lipſe, amai<unsure/>cur ſidi<unsure/>lle<unsure/> de<unsure/> la Th<unsure/>c<unsure/>o<unsure/>-<lb/>ſopbie, & </s> <s xml:id="echoid-s2012" xml:space="preserve">Docte<unsure/>n<unsure/>rd:</s> <s xml:id="echoid-s2013" xml:space="preserve"><unsure/> l’vne, & </s> <s xml:id="echoid-s2014" xml:space="preserve">l’a<unsure/>r<unsure/>tre<unsure/> Mc<unsure/>-<lb/>decine: </s> <s xml:id="echoid-s2015" xml:space="preserve">La ſuſdite Faculté de Theologie <lb/>ayantleu exacte<unsure/> ment, & </s> <s xml:id="echoid-s2016" xml:space="preserve">examiné le li-<lb/>ure entier par quelques Docteurs qu’el-<lb/>le a ſpecialement deputcz pource ſu-<lb/>iet, a iugé que les explications eſtant <lb/>priſes à la lettre, & </s> <s xml:id="echoid-s2017" xml:space="preserve">tous les corollaires <lb/>pris cõmeils ſont, auecle liure meſme, <lb/>doiuent eſtre condamnés, particuliere-<lb/>ment parce qu’eſtant remply d’impie-<lb/>tez, d’erreurs, & </s> <s xml:id="echoid-s2018" xml:space="preserve">d’hereſies, & </s> <s xml:id="echoid-s2019" xml:space="preserve">d’vne <lb/>perpetuelle profanation ſacrilege des <lb/>paſſages de la ſaincte Eſcriture, il abuſe <lb/>des plus ſaints my ſteres de la Religion <lb/>Catholique, & </s> <s xml:id="echoid-s2020" xml:space="preserve">conduitles lecteurs aux <lb/>arts deffendus, & </s> <s xml:id="echoid-s2021" xml:space="preserve">abominables. </s> <s xml:id="echoid-s2022" xml:space="preserve">C’eſt <lb/>pourquoy elle aiugé qu’vn liure ſi con-<lb/>tagieux ne peut eſtreleu, ny expoſé en <lb/>public ſans perte de la Foy, de la Reli-<lb/>gion, & </s> <s xml:id="echoid-s2023" xml:space="preserve">de la pieté.</s> <s xml:id="echoid-s2024" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2025" xml:space="preserve">Fait à Paris dans noſtrc aſſemblée ge-<lb/>neralle, celebrée ſolemnellement au <pb o="135" file="00154" n="153" rhead="& Mathematiques."/> College de Sorbonne, l’an de noſtre <lb/>Seigneur 1625. </s> <s xml:id="echoid-s2026" xml:space="preserve">le I. </s> <s xml:id="echoid-s2027" xml:space="preserve">iour de Mars.</s> <s xml:id="echoid-s2028" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2029" xml:space="preserve">Parle commandement de Monſieur <lb/>le Doyen, & </s> <s xml:id="echoid-s2030" xml:space="preserve">des Maiſtres de ladite Sa-<lb/>crée Faculté de la Theologie de Paris. <lb/></s> <s xml:id="echoid-s2031" xml:space="preserve">Ph. </s> <s xml:id="echoid-s2032" xml:space="preserve">Bouuot.</s> <s xml:id="echoid-s2033" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div68" type="section" level="1" n="66"> <head xml:id="echoid-head101" xml:space="preserve"><emph style="sc">Qvestion</emph> XXIX.</head> <head xml:id="echoid-head102" style="it" xml:space="preserve">Puis qu’ileſt certain que le Soleil a beaucoup <lb/>de taches, ou de macules, & de facu-<lb/>les, qu’en peut-on inferer?</head> <p> <s xml:id="echoid-s2034" xml:space="preserve">ILn’eſt pas beſoin de prouuer qu’ily <lb/>a pluſieurs macules dans le Soleil, <lb/>puis qu’ily a peu de perſonmes ſtudieu-<lb/>ſes qui ne les ayĕt obſeruées, ceſt pour-<lb/>quoy i’explique ſeulement icy leurs <lb/>proprietez, & </s> <s xml:id="echoid-s2035" xml:space="preserve">l’vtilité que l’on en peut <lb/>tirer, ſuiuant la ſpeculation de Sc<unsure/>hei-<lb/>ner, quia remarqué dans la 580. </s> <s xml:id="echoid-s2036" xml:space="preserve">page <lb/>de ſon Soleil, que ſon diametteluy a <lb/>ſouuent paru de 51. </s> <s xml:id="echoid-s2037" xml:space="preserve">d’où il infere qu’il <lb/>eſt éloigné de la terre de 87. </s> <s xml:id="echoid-s2038" xml:space="preserve">deſes dia-<lb/>metres: </s> <s xml:id="echoid-s2039" xml:space="preserve">& </s> <s xml:id="echoid-s2040" xml:space="preserve">d’autrefois il a veu ſon dia-<lb/>metre de 55’. </s> <s xml:id="echoid-s2041" xml:space="preserve">à ſcauoir le 19. </s> <s xml:id="echoid-s2042" xml:space="preserve">du mois <lb/>d’Octobre de l’an 1626. </s> <s xml:id="echoid-s2043" xml:space="preserve">& </s> <s xml:id="echoid-s2044" xml:space="preserve">de 56’. </s> <s xml:id="echoid-s2045" xml:space="preserve">l’an <pb o="136" file="00155" n="154" rhead="Queſtions Phyſiques,"/> ſuiuantle 23. </s> <s xml:id="echoid-s2046" xml:space="preserve">de Septembre. </s> <s xml:id="echoid-s2047" xml:space="preserve">Oril eſt <lb/>certain queles macules, quiparoiſſent <lb/>dans le So’leil, ſont d’autant plus gran-<lb/>des, qu’il paroiſt plus grand, & </s> <s xml:id="echoid-s2048" xml:space="preserve">qu’il eſt <lb/>plus éloign<unsure/>é de nous. </s> <s xml:id="echoid-s2049" xml:space="preserve">Mais aſin de ſça-<lb/>uoir leur grandeur aſſez preciſément, <lb/>il faut ſuppoſer que le rayon, ou le de-<lb/>midiametre de la terreeſt de 860. </s> <s xml:id="echoid-s2050" xml:space="preserve">lieuës <lb/>d’Allemagne, dont chacune eſt com-<lb/>poſée de 4000. </s> <s xml:id="echoid-s2051" xml:space="preserve">pas Geometriques, & </s> <s xml:id="echoid-s2052" xml:space="preserve"><lb/>conſequemment que ſon circuit eſt de <lb/>5403 {2152/4000} lic<unsure/>uës, c’eſt à dire que le tour <lb/>dela terre a 21614152. </s> <s xml:id="echoid-s2053" xml:space="preserve">pas Geometri-<lb/>ques & </s> <s xml:id="echoid-s2054" xml:space="preserve">sõ demi<unsure/>di@metre 3440000, Et <lb/>puis il faut ſupoſer que le demidiame-<lb/>tre du Soleil a 4602 {16119/4000} lieues, & </s> <s xml:id="echoid-s2055" xml:space="preserve">ſa cir-<lb/>conference 28920 {362/4000} Cecy eſtant po-<lb/>ſé: </s> <s xml:id="echoid-s2056" xml:space="preserve">il a remarqué pluſieurs macules, dõt <lb/>les vnes ſont ſi grandes que leur diame-<lb/>tre eſtau demi<unsure/>diametre du Soleil, com-<lb/>me 1. </s> <s xml:id="echoid-s2057" xml:space="preserve">à 10. </s> <s xml:id="echoid-s2058" xml:space="preserve">ou à 7. </s> <s xml:id="echoid-s2059" xml:space="preserve">& </s> <s xml:id="echoid-s2060" xml:space="preserve">conſequemment <lb/>elles ont 660. </s> <s xml:id="echoid-s2061" xml:space="preserve">licuës de grandeur. </s> <s xml:id="echoid-s2062" xml:space="preserve">Ily <lb/>en a d’autres qui ſu@paſſent la grandeur <lb/>de l Europe, ou de l’ Afrique, encore <lb/>que l’on ſuppoſe ſeulemĕt la grandeur, <lb/>& </s> <s xml:id="echoid-s2063" xml:space="preserve">l’éloignement que Tycho donne au <lb/>So<unsure/>l@il, &</s> <s xml:id="echoid-s2064" xml:space="preserve">quele, J<unsure/>iamo<unsure/>tre de la terre ſoit <lb/>à celuy du Soleil, comme 1. </s> <s xml:id="echoid-s2065" xml:space="preserve">à 12. </s> <s xml:id="echoid-s2066" xml:space="preserve">ou à 13.</s> <s xml:id="echoid-s2067" xml:space="preserve"/> </p> <pb o="137" file="00156" n="155" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s2068" xml:space="preserve">Il en remarque d’autres qui ſont <lb/>plus grandes que laterre, car ellesont <lb/>2410. </s> <s xml:id="echoid-s2069" xml:space="preserve">lieuës en diametre, mais elles ſe <lb/>font de pluſieurs petites macules, qui <lb/>s’amaſſent peu à peu enſemble, de ſor-<lb/>te que le Soleil eſt touſiours meſlé de <lb/>tene<unsure/>bres; </s> <s xml:id="echoid-s2070" xml:space="preserve">d’où il conclud que l Eclyp-<lb/>ſe du Soleil, qui arriua à la Paſſion de <lb/>noſtre Seigneur, ſe fiſt par l’entremiſe <lb/>d’vne grande quantitè de ces macules, <lb/>puis que la Lune ne peut nous larendre <lb/>vniuerſelle comme elle fut. </s> <s xml:id="echoid-s2071" xml:space="preserve">Or ces <lb/>macules paroiſſent ſouuent 13. </s> <s xml:id="echoid-s2072" xml:space="preserve">iours ou <lb/>e<unsure/>nuiron dans le Soleil, & </s> <s xml:id="echoid-s2073" xml:space="preserve">conſequem-<lb/>ment font leur tour en 26. </s> <s xml:id="echoid-s2074" xml:space="preserve">ou 27. </s> <s xml:id="echoid-s2075" xml:space="preserve">iours, <lb/>plus ou moins: </s> <s xml:id="echoid-s2076" xml:space="preserve">mais elles ne font nul <lb/>parallaxe, d’où l’on conclud qu’elles le <lb/>touchent & </s> <s xml:id="echoid-s2077" xml:space="preserve">parce qu’elles ſ’cuanoüiſ-<lb/>ſent, & </s> <s xml:id="echoid-s2078" xml:space="preserve">diſparoiſſent ſouuent dans le <lb/>milieu du Soleil, il eſt difficilo de iuger <lb/>quelle eſt leur matiere, ſi l’on ne dit <lb/>qu’elles ſont des nuës, qui ſ’éleuent du <lb/>corps du Soleil, comme celles de la ter-<lb/>re, car elles vont quelquesfois en ſe <lb/>groſſiſſant, & </s> <s xml:id="echoid-s2079" xml:space="preserve">d’autresfois en ſe dimi-<lb/>nuant depuis l’vn des bords du Soleil <lb/>iuſques à l’autre; </s> <s xml:id="echoid-s2080" xml:space="preserve">& </s> <s xml:id="echoid-s2081" xml:space="preserve">d’obſcures elles de-<lb/>uiennent claires cõme des ſlambeaux, <pb o="138" file="00157" n="156" rhead="Queſtions Phyſiques,"/> apres qu’elles ſe ſont terminées en fu-<lb/>mée. </s> <s xml:id="echoid-s2082" xml:space="preserve">car le Soleil eſt comme vn grand <lb/>braſier, qui les enſlamme, ſi toſt qu’el-<lb/>les ſont aſſez rarefiées. </s> <s xml:id="echoid-s2083" xml:space="preserve">Mais il fautre-<lb/>marquer que les facules, ou flambeaux <lb/>du Soleil ſe conuertiſſent auſſi bien en <lb/>macules, que les macules en facules & </s> <s xml:id="echoid-s2084" xml:space="preserve"><lb/>que les vnes ſuccedentaux autres, ou <lb/>qu’elles ſe meſlent ſouuent enſemble: <lb/></s> <s xml:id="echoid-s2085" xml:space="preserve">& </s> <s xml:id="echoid-s2086" xml:space="preserve">finalement qu’elles commencent <lb/>touſiours à l’horizon de l’Orient du So-<lb/>leil, & </s> <s xml:id="echoid-s2087" xml:space="preserve">finiſſent à l’horizõ de l’Occidĕt.</s> <s xml:id="echoid-s2088" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2089" xml:space="preserve">L’on peut encore dire que ces macu-<lb/>les ſe tournent quelquefois en Come-<lb/>tes, & </s> <s xml:id="echoid-s2090" xml:space="preserve">que la Comete de l’an 1618. </s> <s xml:id="echoid-s2091" xml:space="preserve">& </s> <s xml:id="echoid-s2092" xml:space="preserve"><lb/>les autres eſtoient des macules ſorties <lb/>du Solcil: </s> <s xml:id="echoid-s2093" xml:space="preserve">quoy que toutes ces obſer-<lb/>uations ne prcuuent pas aſſez euidem-<lb/>ment que le Soleil ſoit corruptible, & </s> <s xml:id="echoid-s2094" xml:space="preserve"><lb/>qu’il reçoiue des alterations, comme <lb/>la terre, & </s> <s xml:id="echoid-s2095" xml:space="preserve">particulierement comme le <lb/>mont V eſuue, pour obliger les hõmes <lb/>à embraſſer cette opinion, car Claude <lb/>Berigard maintient que l’on peutenco-<lb/>re retenir l’incorruptibilité, & </s> <s xml:id="echoid-s2096" xml:space="preserve">meſme <lb/>la ſolidité des cieux, dans le liure qu’il <lb/>a fait contre les Dialogues de Gali-<lb/>lee du mouuement de la terre.</s> <s xml:id="echoid-s2097" xml:space="preserve"/> </p> <pb o="139" file="00158" n="157" rhead="& Mathematiques."/> </div> <div xml:id="echoid-div69" type="section" level="1" n="67"> <head xml:id="echoid-head103" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s2098" xml:space="preserve">Ileſtayſé de verifier les obſeruations <lb/>& </s> <s xml:id="echoid-s2099" xml:space="preserve">les experiences des macules du So-<lb/>leil, parce que Malaperta dõné les ob-<lb/>ſeruations qu’il en a faites depuis l’an <lb/>1618. </s> <s xml:id="echoid-s2100" xml:space="preserve">juſques à 1627. </s> <s xml:id="echoid-s2101" xml:space="preserve">dans le liure qu’il <lb/>intitule Heliocyclia, en meſme temps <lb/>que Scheiner<unsure/> a donné les ſiennes dans <lb/>ſa R oſe V rſine, car celuy-cy les a obſer-<lb/>uées à Ingolſtad, & </s> <s xml:id="echoid-s2102" xml:space="preserve">à Rome, & </s> <s xml:id="echoid-s2103" xml:space="preserve">celuy-<lb/>la à Arras, où il m’a fait voir ſes inſtru-<lb/>mens, & </s> <s xml:id="echoid-s2104" xml:space="preserve">la maniere dont il a obſerué <lb/>les macules.</s> <s xml:id="echoid-s2105" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div70" type="section" level="1" n="68"> <head xml:id="echoid-head104" xml:space="preserve"><emph style="sc">Qvestion</emph> XXX.</head> <head xml:id="echoid-head105" style="it" xml:space="preserve">Quelle vtilité peut-on tirer des lunettes de <lb/>longue veuë pour les ſciences, <lb/>& pour la vie?</head> <p> <s xml:id="echoid-s2106" xml:space="preserve">IL faut premieremĕt remarquer que <lb/>les lunettes ſont faites de verre, ou <lb/>de chryſtal, & </s> <s xml:id="echoid-s2107" xml:space="preserve">qu’elles groſſiſſent, ou <lb/>diminuent les objects; </s> <s xml:id="echoid-s2108" xml:space="preserve">elles les groſſiſ-<lb/>ſent, quand les verres ſont conuexes <pb o="140" file="00159" n="158" rhead="Queſtions Phyſiques,"/> d’vn coſté, & </s> <s xml:id="echoid-s2109" xml:space="preserve">plats de l’autre, ou qu’ils <lb/>ſont conuexes des deux coſtez: </s> <s xml:id="echoid-s2110" xml:space="preserve">mais <lb/>elles les diminuënt, lors que les verres <lb/>ſont creux ou concaues d’vn, ou deux <lb/>coſtez. </s> <s xml:id="echoid-s2111" xml:space="preserve">Or auant que de parler des lu-<lb/>nettes de longue veuë, dont on rappor-<lb/>te l’inuenc<unsure/>ion à Galilée, ou aux Hol-<lb/>landois, ou à quelques autres plus an-<lb/>ciens, il faut remarquer en ſecond lieu <lb/>que les verres creux ſeruent à ceux qui <lb/>ont la veuë courte, d’autant que leur <lb/>humeur chry ſtallin fait la portion d’v-<lb/>ne ſi petite Sphere, qu’il r’acourcit trop <lb/>le cone des rayons viſuels, de ſorte qu’il <lb/>ne peut arriuer iuſques à la retine, qui <lb/>en doit eſtre pcinte diſtinctement pour <lb/>nous faire voir.</s> <s xml:id="echoid-s2112" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2113" xml:space="preserve">Et parce que ce racourciſſement de <lb/>la pointe du cone eſt plus grand, quand <lb/>il vient des objects éloignez, il faut ap-<lb/>pliquer le verre concaue à l’œil, aſin <lb/>d’allonger ladite pointe, iuſques à ce <lb/>qu’elle arriue diſtinctement à la retine: <lb/></s> <s xml:id="echoid-s2114" xml:space="preserve">quoy que l’on n’en ayt pas beſoin, lors <lb/>que les objects sõt proches, parce qu’ils <lb/>font la pointe du cone aſſez longue.</s> <s xml:id="echoid-s2115" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2116" xml:space="preserve">Mais il faut autant de differentcs lu-<lb/>nettes creuſes, comme il ſe rencontre <pb o="141" file="00160" n="159" rhead="& Mathematiques."/> de differents cõuexes dans les humeurs <lb/>chryſtalins, & </s> <s xml:id="echoid-s2117" xml:space="preserve">de differens éloignemĕs <lb/>deſdits chryſtalins iuſques au fond de <lb/>la retine: </s> <s xml:id="echoid-s2118" xml:space="preserve">& </s> <s xml:id="echoid-s2119" xml:space="preserve">l’on experimente touſiours <lb/>que la differente concauité, ou conue-<lb/>xité des verres a des effets differens, tãt <lb/>pour l’œil que pour la lumiere: </s> <s xml:id="echoid-s2120" xml:space="preserve">c’eſt <lb/>pourquoy chacun peutiuger de la figu-<lb/>re de l’humeur chryſtalin qu’il a dans <lb/>l’vn, ou l’autre œil, dans leſquels il eſt <lb/>le plus ſouuent different, de là vient <lb/>ſouuent que l’on void mieux d’vn œil, <lb/>que de l’autre.</s> <s xml:id="echoid-s2121" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2122" xml:space="preserve">En troiſieſme lieu, il faut dire toutle <lb/>contraire de ceux qui ont leur chryſta-<lb/>lin ſi plat, ou ſi peu courbe, ou fait d’v-<lb/>ne ſi grande portion de ſphere, qu’il al-<lb/>longe trop le cone de la pyramide ra-<lb/>dieuſe, car ils doiuent vſer de verres <lb/>d’autant plus conuexes, qu’ils ont ledit <lb/>chry ſtalin moins conuexe.</s> <s xml:id="echoid-s2123" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2124" xml:space="preserve">Cecy eſtant poſé, ie dis que les lunet-<lb/>tes de lõgue veuë ſont compoſees d’vn <lb/>verre conuexe, que l’on met au bout <lb/>du tuyau, qui regarde l’object, & </s> <s xml:id="echoid-s2125" xml:space="preserve">d’vn <lb/>concan<unsure/>e, que l’on applique à l’œil, & </s> <s xml:id="echoid-s2126" xml:space="preserve"><lb/>qu’elles groſſiſſent d’autant plus l’ob-<lb/>je<unsure/>ct que la portion du conuexe eſt priſe <pb o="142" file="00161" n="160" rhead="Queſtions Phyſiques,"/> ſur vne plus grande ſphere, & </s> <s xml:id="echoid-s2127" xml:space="preserve">celle du <lb/>concaue ſur vne moindre. </s> <s xml:id="echoid-s2128" xml:space="preserve">Delà vicnt <lb/>qu’il faut faire les tuyaux d’autant plus <lb/>longs que leſdits conuexes approchent <lb/>dauantage d’vn plan droit, & </s> <s xml:id="echoid-s2129" xml:space="preserve">d’autant <lb/>plus courte, que la pottion de lc<unsure/>urs ver-<lb/>res conuexes eſt priſe d’vne<unsure/> moindre <lb/>ſphere.</s> <s xml:id="echoid-s2130" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2131" xml:space="preserve">Or ces lunettes ſeruent premieremĕt <lb/>pour connoiſtre ce qui eſt, ou ce quiſe <lb/>fait à vne, ou deux lieuës, d’où l’on eſt, <lb/>quand elles ſont bõnes, & </s> <s xml:id="echoid-s2132" xml:space="preserve">conſequem-<lb/>ment elles peuuent ſuppléer le chemin <lb/>qu’il faudroit faire pour ſçauoir la meſ-<lb/>me choſe, & </s> <s xml:id="echoid-s2133" xml:space="preserve">aydent à éu@ter vneinfi-<lb/>nité de dangers, & </s> <s xml:id="echoid-s2134" xml:space="preserve">de mauuaiſes ren-<lb/>contres: </s> <s xml:id="echoid-s2135" xml:space="preserve">mais il faut d’autant plus ac-<lb/>courcir les lunettes, que l’on a la veuë <lb/>plus courte: </s> <s xml:id="echoid-s2136" xml:space="preserve">delà viĕt qu’elles ont quaſi <lb/>aurant de differents points comme il <lb/>y a de differens chryſtalins.</s> <s xml:id="echoid-s2137" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2138" xml:space="preserve">En deuxieſme lieu, elles ſeruent pour <lb/>remarquer plu<unsure/>ſieurs choſes dans les <lb/>aſtres, que l’on ne peut voir ſans leur <lb/>ayde, comme l’on experimente aux <lb/>I<unsure/>nacules du Soleil, donti’ay parlé dans <lb/>la queſtion precedente, car quand on <lb/>applique les lunettes au trou que l’on <pb o="143" file="00162" n="161" rhead="& Mathematiques."/> fait dans la feneſtre d’vne chambre, <lb/>quin’a nulle lumiere d’ailleut<unsure/>s, & </s> <s xml:id="echoid-s2139" xml:space="preserve">que <lb/>l’on éloigne vne charte blãche du ver-<lb/>re concaue, iuſques<unsure/> à ce que l’on voye <lb/>diſtinctement la repreſentation, ou l’i-<lb/>mage du Soleil ſur ladite charte, l’õ re-<lb/>marqueavſément la multitude, la figu-<lb/>re, & </s> <s xml:id="echoid-s2140" xml:space="preserve">la grandeur des macules, qui ſont <lb/>quelquefois en grand nombre, & </s> <s xml:id="echoid-s2141" xml:space="preserve">d’au-<lb/>trefois il y en a peu, ouil n’en paroiſt <lb/>point du tout.</s> <s xml:id="echoid-s2142" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2143" xml:space="preserve">Troiſiémement, elles monſtrent que <lb/>lc Soleil eſt plus proche de la terre à <lb/>l’Hyuer, qu’à l’Eſté, car la meſme lu-<lb/>nette fait paroiſtre ſon image beau-<lb/>coup plus grande dans le ſigne du Ca-<lb/>pricorne, que dans celuy del Ecreuiſ-<lb/>ſe, delà vient qu’il faut vn peu ſ<unsure/>acour-<lb/>cirà l’Eſté, car elle doit eſtre plus lon-<lb/>gue pour voir diſtinctementles obiects <lb/>qui ſont plus proches, & </s> <s xml:id="echoid-s2144" xml:space="preserve">plus courte <lb/>quand ils ſont plus éloignez: </s> <s xml:id="echoid-s2145" xml:space="preserve">d’oùil ar-<lb/>riue que l’on doit plus éloigner la char-<lb/>te de la lunette à l´Hyuer, qu’à l’Eſté, <lb/>pour voir également ce que l’on veut <lb/>remarquer. </s> <s xml:id="echoid-s2146" xml:space="preserve">Finalement elles ſeruen@ <lb/>pour remarquer le Croiſsãt, le decours, <lb/>& </s> <s xml:id="echoid-s2147" xml:space="preserve">les autres apparences de V enus, qui<unsure/> <pb o="144" file="00163" n="162" rhead="Queſtions phyſiques,"/> imite toutes les figures de la Lune; <lb/></s> <s xml:id="echoid-s2148" xml:space="preserve">pour découurir pluſieurs nouuelles <lb/>Eſtoiles, que l’on ne peut apperceuoir <lb/>auec les yeux, pour en remarquer les <lb/>diametres, & </s> <s xml:id="echoid-s2149" xml:space="preserve">pour pluſieurs autres cho. </s> <s xml:id="echoid-s2150" xml:space="preserve"><lb/>ſes, qui meritent vn traité particulier, <lb/>ſans lequel on ne peut expliquer aſſcz <lb/>clairement tous les differents effets des. </s> <s xml:id="echoid-s2151" xml:space="preserve"><lb/>lunettes compoſées de deux ou plu-<lb/>ſieurs conuexes, & </s> <s xml:id="echoid-s2152" xml:space="preserve">concaues, quiren-<lb/>dentles rayons paralleles, & </s> <s xml:id="echoid-s2153" xml:space="preserve">concur-<lb/>rents, & </s> <s xml:id="echoid-s2154" xml:space="preserve">qu’ils écartent quandils con-<lb/>current, ou qu’ils ſont patalleles, com. </s> <s xml:id="echoid-s2155" xml:space="preserve"><lb/>me il arriue aux miroirs.</s> <s xml:id="echoid-s2156" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div71" type="section" level="1" n="69"> <head xml:id="echoid-head106" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXI.</head> <head xml:id="echoid-head107" style="it" xml:space="preserve">Peut-on trouuer en France de la matiere po<unsure/>ur <lb/>entretenir le feu, & pour ſe chauffer ſans <lb/>vſer de bois? & peut-on faire du ſalpe-<lb/>ſtre par artiſice?</head> <p> <s xml:id="echoid-s2157" xml:space="preserve">IL eſt certain que l’on vſe de mottes, <lb/>ou de gazõs de terre enHollãde, que <lb/>l’on appelle tourbes, & </s> <s xml:id="echoid-s2158" xml:space="preserve">de la Hθüille au <lb/>pays du Liege, pour faire du feu, & </s> <s xml:id="echoid-s2159" xml:space="preserve"><lb/>pour ſe chauffer: </s> <s xml:id="echoid-s2160" xml:space="preserve">cette Hoüille eſt vne <pb o="145" file="00164" n="163" rhead="& Mathematiques."/> eſpece de charbon de terre que l’on ti-<lb/>re des mines treſ-profondes, & </s> <s xml:id="echoid-s2161" xml:space="preserve">quieſt <lb/>ſemblable à l’écume du fer. </s> <s xml:id="echoid-s2162" xml:space="preserve">Or l’on a <lb/>vnegrande quantité de terres en Fran-<lb/>ce, quiſont propres à bruſler, & </s> <s xml:id="echoid-s2163" xml:space="preserve">qui <lb/>ſont proches des riuieres; </s> <s xml:id="echoid-s2164" xml:space="preserve">qui peuuent <lb/>eſtre trauaillées depuis le commence-<lb/>ment d’Apuril juſques à la ſainct Mar-<lb/>tin. </s> <s xml:id="echoid-s2165" xml:space="preserve">Etelles peuuent ſuppléer aux fo-<lb/>reſts, dent la couppe, & </s> <s xml:id="echoid-s2166" xml:space="preserve">la degradation <lb/>apporte de grandes pertes, comme a <lb/>monſtré le ſieur de Lamberuille, qui <lb/>donneles moyĕs de ſe ſeruir des Abyſ-<lb/>mes, Croullieres, & </s> <s xml:id="echoid-s2167" xml:space="preserve">Mollieres, qui <lb/>vienne<unsure/>nt des Tourbieres, dans ſes diſ-<lb/>cours Politiques. </s> <s xml:id="echoid-s2168" xml:space="preserve">Certainements’il y <lb/>a aſſez de cette terre propre à bruſler, & </s> <s xml:id="echoid-s2169" xml:space="preserve"><lb/>à chauffer toutes ſortes de fourneaux, <lb/>ſur les ruiſſeaux, & </s> <s xml:id="echoid-s2170" xml:space="preserve">les petites riuieres, <lb/>qui deſcendent dans les grandes riuie-<lb/>res de France, & </s> <s xml:id="echoid-s2171" xml:space="preserve">ſi elle eſt plus propro<unsure/> <lb/>quele bois à faire cuire tout ce que l’on <lb/>veut, il faudroit reſeruer le bois pour <lb/>baſtir, & </s> <s xml:id="echoid-s2172" xml:space="preserve">pour meubler les maiſons, & </s> <s xml:id="echoid-s2173" xml:space="preserve"><lb/>pour tous les autres vſage<unsure/>s de la Me-<lb/>chanique; </s> <s xml:id="echoid-s2174" xml:space="preserve">or il maintient qu’il yen 2 <lb/>aſſez proche d’Aultre, Canche, Thare<unsure/>, <lb/>Therin, Nounete, Aiſe, Leyt, & </s> <s xml:id="echoid-s2175" xml:space="preserve">Lyane<unsure/>, <pb o="146" file="00165" n="164" rhead="Queſtions Phyſiques,"/> qui deſcendent dans la Somme, & </s> <s xml:id="echoid-s2176" xml:space="preserve">pro. <lb/></s> <s xml:id="echoid-s2177" xml:space="preserve">che des riuieres & </s> <s xml:id="echoid-s2178" xml:space="preserve">ruiſſeaux qui en-<lb/>trent dans la Seine, à ſçauoir, Aube, <lb/>Aubete, Orſe, Creuſe, Legnes, Arſe, <lb/>Lozain, Voire, Amane, Auſon, Lui-<lb/>ſtre, Barſan, Arduſſon, Sorme, Doruin, <lb/>Yonne, Senin, Armanſon, Serain, Cu-<lb/>re, Couſin, Oſerain, Loze, Sault, Vil-<lb/>lenoce, Lamboye, Vannes, Loin, du <lb/>Biez, Durtan, la Iuyne, Yrre, Loet, <lb/>Orge, Remande, Yuete, Marne, Sui-<lb/>ze, Vennory, Sault, Roignon, Blaiſe, <lb/>Ourc, Morin, Bieure, Crouſt, Oyſe <lb/>Somme, Aine, Vele, Bione, Tourbe, <lb/>Valie, Ardilie, Nore, Epte, Vegre, <lb/>Blaiſe, Hadre, Iton, Andele, Olne, <lb/>Oudon, Eure, Drome, Vire, la Done, <lb/>Ardre, Burd, Yue, Rille, Somme.</s> <s xml:id="echoid-s2179" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2180" xml:space="preserve">Ie veux encore mettre les ruiſſeaux <lb/>qui deſcendent dans la Loire, dans le <lb/>Roſne, dans la Garonne, & </s> <s xml:id="echoid-s2181" xml:space="preserve">dans la <lb/>Charante, afin que l’on admire la dili-<lb/>gence de cet Autheur.</s> <s xml:id="echoid-s2182" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2183" xml:space="preserve">Dans la Loire, Colence, Dolizon, <lb/>Borne, Cheneualet, Veſiſſe, Anſe, Li-<lb/>gnon, De, Argent, Or, Eſcu, Iſable, <lb/>Vs<unsure/>, Coyſe, Donzi, Verneſan, Neiron-<lb/>de, Soruin, Renaiſon, Reconſe, Aroux, <pb o="147" file="00166" n="165" rhead="& Mathematiques."/> Alier, Alamon, Sumare, Thieure, la <lb/>Iordane, la Sole, Drogne, Bedac, Do-<lb/>re, Chiſſon, Iolare, Vrile, Oeuf, Loiret, <lb/>Cire, le Brãle, le Cher, Auuron, Theol. <lb/></s> <s xml:id="echoid-s2184" xml:space="preserve">Yeure, Naon, le Sauldre, peti<unsure/>te Saul-<lb/>dre, Poſo, Indre, Eſchandron, Indrois, <lb/>la Diue, Theoret, le Thon, Briaude, <lb/>Buſſe, Laution, le Layon, Oudon, Se. </s> <s xml:id="echoid-s2185" xml:space="preserve"><lb/>nure, le Latan, Litome, Mayene, Vo-<lb/>lon, Satte, la Vigne, Aigre, Aurule, <lb/>Eidre, Huyne, Beuuron, Cuſſon, Vie-<lb/>ne, Creuſe, la Crauſe, petite Crauſe, <lb/>la Gartampe, Vincon, la Baſile, la Vi-<lb/>gnane, Taurion, Aurance, Brance, <lb/>Goere, le Clan, la Vone, la Cloere, <lb/>Moiſlan, Thoe, Tyrõ, Muſſuue, Braye, <lb/>Ardre, la Vilaine, Aouſt, Blauet, Oder, <lb/>Rance, Minete, Coeſnon, les Conies.</s> <s xml:id="echoid-s2186" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2187" xml:space="preserve">Dans<unsure/> le Roſne, Ain, Saune, Vencel-<lb/>le, la Tylle, Beſne, Ouſche, Suſon, Na-<lb/>uigenne, Therin, Burſure, le Doux, <lb/>Grone, Pianete, Mourgon, Aſergue, <lb/>Saene, le Garon, Giers, la Gere, Bar, <lb/>Salize, Clomar, Furan, le Dorbe, la <lb/>Canée, Caniſe, Dome, Liſere, Ayre, <lb/>Grye, Drac, Die, Achaſſe, la Ruſſe, la <lb/>Durance, Ozon, Charny.</s> <s xml:id="echoid-s2188" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2189" xml:space="preserve">Dans la Garonne, Baiſe, Ciron, La- <pb o="148" file="00167" n="166" rhead="Queſtions phyſiques,"/> rod, Ladour, le Luis, le Gaue, Ourth, <lb/>Oleron, le Nes, Oſſeau, Aſpe, le Vert, <lb/>Haum, Vidoux, Bidouſe, le Nine, le <lb/>Salar, la Creſte, la Riege, le Gers, Hi-<lb/>cis, Salat, Aigue la Vaul, la Sane, le <lb/>Tarn, Taſcon, la Drot, Dordoigne, <lb/>Gironde, la Somme, Leyre, Lers, le <lb/>Lot, Liſle, la Drone, Agouſt, Dauey-<lb/>ron, la Lous, la Douce, Mydon, le <lb/>Nibe.</s> <s xml:id="echoid-s2190" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2191" xml:space="preserve">Dansla Charante, la Peruſe, Argent, <lb/>Or, Son, Sonnete, la Bõnuyre, la Tar-<lb/>doere, les Gaues, de Rancogne, le <lb/>Gaue, Churet, Toulure, Anguyene, <lb/>la Noere, la Boeme, le Ne, Suyne, <lb/>Cheſboulonne, Indre, Gironde, la Se-<lb/>pure, Aultize, la Vandeze.</s> <s xml:id="echoid-s2192" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2193" xml:space="preserve">Ce qui pcut ſeruir à ceux qui pren-<lb/>dront la peine de cheminer au long de <lb/>ce<unsure/>s riuieres, pour ſçauoir le nom des <lb/>ruiſſeaux quel’on rencontre, & </s> <s xml:id="echoid-s2194" xml:space="preserve">pour <lb/>éprouuer s’il ſe trouue des Tourbes <lb/>propres à faire dufeu dans tous ces en-<lb/>droits.</s> <s xml:id="echoid-s2195" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2196" xml:space="preserve">Le ſieur Guillain a auſſi propoſé la <lb/>maniere de faire tant de ſalpeſtre que <lb/>l’on voudra, par le moyen de l’vrine, & </s> <s xml:id="echoid-s2197" xml:space="preserve"><lb/>des auttes excremens des cheuaux, &</s> <s xml:id="echoid-s2198" xml:space="preserve"> <pb o="149" file="00168" n="167" rhead="& Mathematiques."/> dela cendre qui a deſia ſeruià la leſſiue; <lb/></s> <s xml:id="echoid-s2199" xml:space="preserve">d’où l’on peut tirer pluſieurs vtilitez, <lb/>tant pout la poudre à canon, que pour <lb/>faire de l’eau ſalpeſtrée, qui ne gele ia-<lb/>mais, encore qu’elle rafraichiſſe dauã-<lb/>tage quela glace, & </s> <s xml:id="echoid-s2200" xml:space="preserve">pourtirer pluſieurs <lb/>medecines qui ſe peuuent faire de ſa <lb/>fleur, qui ne vaut plus rien, quandleſel <lb/>en eſt oſté. </s> <s xml:id="echoid-s2201" xml:space="preserve">Or cette fleur ſe<unsure/>rt à faire <lb/>vcgeter la terre, & </s> <s xml:id="echoid-s2202" xml:space="preserve">à l’engraiſſer, & </s> <s xml:id="echoid-s2203" xml:space="preserve">cõ-<lb/>ucrtit le ciment envne ſemblable fleur. </s> <s xml:id="echoid-s2204" xml:space="preserve"><lb/>A quoy il adjouſte quelaroſée deMay, <lb/>& </s> <s xml:id="echoid-s2205" xml:space="preserve">de Septembre engendre du poiſſon <lb/>dans l’eau morte, ſil’on prend des ga-<lb/>zons couuerts d’herbe, & </s> <s xml:id="echoid-s2206" xml:space="preserve">remplis de<unsure/> <lb/>roſée, & </s> <s xml:id="echoid-s2207" xml:space="preserve">que l’on les mette ſur des ba-<lb/>ſtons, ou des clayes, l’herbe en bas, car <lb/>la roſée quitombera dans l’eau engen-<lb/>drera des poiſſons, dont l’experience <lb/>eſt ſi ayſée à faire aux lieux où l’on a de <lb/>l’eau morte, qu’il vaut mieux la faire, <lb/>que<unsure/> d’ĕrechercher la raiſon auant que <lb/>d o<unsure/>n ſçauoir la verité.</s> <s xml:id="echoid-s2208" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div72" type="section" level="1" n="70"> <head xml:id="echoid-head108" xml:space="preserve">COROLLAIRE</head> <p> <s xml:id="echoid-s2209" xml:space="preserve">L’on trouuera pluſieurs choſes excel-<lb/>lentes de l’eau, & </s> <s xml:id="echoid-s2210" xml:space="preserve">duſel, quiſeruent à <pb o="150" file="00169" n="168" rhead="Queſtions phyſiques,"/> la generation des poiſſons, & </s> <s xml:id="echoid-s2211" xml:space="preserve">detoutes <lb/>les autres choſes dans les traitez que <lb/>Paliſſy en a faits, car ils ſont pleins de <lb/>rares<unsure/> experiences.</s> <s xml:id="echoid-s2212" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div73" type="section" level="1" n="71"> <head xml:id="echoid-head109" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXII</head> <head xml:id="echoid-head110" style="it" xml:space="preserve">Sile ſel engraiſſe la terre, pourquoy les o<unsure/>n-<lb/>ciens ont-ils fait paroiſtre la malcdiction <lb/>qu’il luy donnoient en ſemant du ſelde<unsure/>ſ-<lb/>ſus pour la rendre ſterile?</head> <p> <s xml:id="echoid-s2213" xml:space="preserve">L’Experience de la marne, & </s> <s xml:id="echoid-s2214" xml:space="preserve">dufu-<lb/>mier fait voir que leur ſel engraiſ-<lb/>ſela terre, & </s> <s xml:id="echoid-s2215" xml:space="preserve">qu´ils ſonr inutiles à cet <lb/>effet, lors qu’ils en ſont dépoüillez, cõ-<lb/>me enſeigne Paliſſy dans ſon traité de<unsure/> <lb/>la marne, & </s> <s xml:id="echoid-s2216" xml:space="preserve">du fumier, qu’il appelle le <lb/>threſor des champs. </s> <s xml:id="echoid-s2217" xml:space="preserve">Or la matne eſt <lb/>vne terre argilleuſe, quiſe tourne ſou-<lb/>ue<unsure/>nt en pierrespropres à eſtre calcinees <lb/>& </s> <s xml:id="echoid-s2218" xml:space="preserve">e<unsure/>n craye: </s> <s xml:id="echoid-s2219" xml:space="preserve">elle ſert 10. </s> <s xml:id="echoid-s2220" xml:space="preserve">ou trcnte ans <lb/>à engraiſſer la terre, lors qu’elle a eſté <lb/>diſſoute par<unsure/> ia pluye, qui tire l’eau de la <lb/>marne, qu’iiappelle congelati<unsure/>ue, gene-<lb/>ratiue,<unsure/> & </s> <s xml:id="echoid-s2221" xml:space="preserve">cinquieſme Element, quine <lb/>s’éuapore pas comme l’eau commune, <pb o="151" file="00170" n="169" rhead="& Mathematiques."/> qui luy ſert de vehicule; </s> <s xml:id="echoid-s2222" xml:space="preserve">elle engen-<lb/>dre auſſi les écailles des poiſſons, les os, <lb/>les pierres, & </s> <s xml:id="echoid-s2223" xml:space="preserve">tout ce qui eſt dur dans <lb/>les plantes, & </s> <s xml:id="echoid-s2224" xml:space="preserve">dans les animaux. </s> <s xml:id="echoid-s2225" xml:space="preserve">C’eſt <lb/>elle qui congele les liqueurs, & </s> <s xml:id="echoid-s2226" xml:space="preserve">qui ſe <lb/>diſſout, quandla pluye tombe deſſus la <lb/>marne, pour engraiſſer la terre:</s> <s xml:id="echoid-s2227" xml:space="preserve"><unsure/> ce qui <lb/>arriueroit à toute ſortes de pierres, ſila <lb/>pluye les pouuoit diſſoudre pour en <lb/>porter le cinquieſme Element aux ra-<lb/>cines des plantes.</s> <s xml:id="echoid-s2228" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2229" xml:space="preserve">L’on peut auſſi vſer de l’argille au lieu <lb/>de la marne pout engraiſſer les terres, <lb/>comme les foulons en vſent pour de-<lb/>greſſer leurs draps: </s> <s xml:id="echoid-s2230" xml:space="preserve">finalement le ſel <lb/>de toutes ſortes de plantes a couſtume <lb/>de rendre la terre plus feconde, de ſor-<lb/>te qu’il faut, ce ſemble, reſpondre à la <lb/>difficulté du ſel qu’ Abimelec feiſt jet-<lb/>ter dans Sichen, & </s> <s xml:id="echoid-s2231" xml:space="preserve">que pluſieurs ont <lb/>fait ietter en d’autr<unsure/>es e<unsure/>ndroits de la ter-<lb/>r<unsure/>e, qu’ils ont voulu rendre ſterile, que <lb/>le ſel commun eſt trop cauſtique, & </s> <s xml:id="echoid-s2232" xml:space="preserve"><lb/>bruſlant, & </s> <s xml:id="echoid-s2233" xml:space="preserve">conſequemment qu’il con-<lb/>ſomme l’humide radical, le ſel naturel, <lb/>ou la partie oleagineuſe de la terre, qui <lb/>contribuë dauantage aux generations <lb/>des indiuidus que les auttes parties.</s> <s xml:id="echoid-s2234" xml:space="preserve"/> </p> <pb o="152" file="00171" n="170" rhead="Queſtions phyſiques,"/> <p> <s xml:id="echoid-s2235" xml:space="preserve">Or ceux qui cro<unsure/>yent que la dureté <lb/>des co<unsure/>rps vient du ſel, ou de l’eau con-<lb/>gelatiue, qui eſt dans l´eau commune, <lb/>diſent que le fer, ou l’acier que l’on trĕ-<lb/>pe dans les forges pour l’endurcir, tire <lb/>le ſel des liqueurs, dans leſquelles on <lb/>let r<unsure/>empe, & </s> <s xml:id="echoid-s2236" xml:space="preserve">que c’eſt pour ce ſuiet<unsure/> que <lb/>l’on meſle du verre broyé, du vinaigre, <lb/>du ſel, &</s> <s xml:id="echoid-s2237" xml:space="preserve">c. </s> <s xml:id="echoid-s2238" xml:space="preserve">parmi l’eau de la trempe, & </s> <s xml:id="echoid-s2239" xml:space="preserve"><lb/>nient que la marne, & </s> <s xml:id="echoid-s2240" xml:space="preserve">l’argille ſoient <lb/>oleagineuſes, d’autãt qu’elles ſont ſeu-<lb/>lement pateuſes, comme la farine mé-<lb/>lée auec de l’eau. </s> <s xml:id="echoid-s2241" xml:space="preserve">Mais quoy que l’on <lb/>puiſſe s’imaginer pour expliquer la ma-<lb/>niere dont ſe fait la generation des in-<lb/>diuidus par le moyĕ de la marne, & </s> <s xml:id="echoid-s2242" xml:space="preserve">des <lb/>autres choſes qui engr<unsure/>aiſſent la terre.</s> <s xml:id="echoid-s2243" xml:space="preserve"><unsure/> il <lb/>eſt fort difficile d’en expliquer les <lb/>actions, & </s> <s xml:id="echoid-s2244" xml:space="preserve">les circonſtances particulie-<lb/>res: </s> <s xml:id="echoid-s2245" xml:space="preserve">& </s> <s xml:id="echoid-s2246" xml:space="preserve">la plus grande difficulté demeu-<lb/>re touſiours, à ſçauoir ce quirend cc<unsure/>t <lb/>cau plus cõgelatiue que les autres par-<lb/>ties qui s’exalent; </s> <s xml:id="echoid-s2247" xml:space="preserve">d’où vient l’acrimo-<lb/>nic, & </s> <s xml:id="echoid-s2248" xml:space="preserve">la fe<unsure/>condité du ſel, puis qu’il ſe <lb/>peutencore reſoudre en d’autr<unsure/>es par<unsure/>-. <lb/></s> <s xml:id="echoid-s2249" xml:space="preserve">ties, & </s> <s xml:id="echoid-s2250" xml:space="preserve">en d’autr<unsure/>es principes, ſi cc<unsure/> n’eſt <lb/>que l’on die que les premiers principes <lb/>que Die<unsure/>u feiſt au commencement du <pb o="153" file="00172" n="171" rhead="& Mathematiques."/> monde ayent eſté le ſel, le ſoulphre & </s> <s xml:id="echoid-s2251" xml:space="preserve"><lb/>le mercure, & </s> <s xml:id="echoid-s2252" xml:space="preserve">que ces trois pieces de <lb/>chaque compoſé ne puiſlent eſtre diui-<lb/>ſées, oureíoluës en d’autres principes: <lb/></s> <s xml:id="echoid-s2253" xml:space="preserve">ce<unsure/> que les Peripateticiens n’auoüeront <lb/>pas, puis qu’ils reſoluent toutes les cho-<lb/>ſes corporelles en forme & </s> <s xml:id="echoid-s2254" xml:space="preserve">en matiere, <lb/>dont l’vne, & </s> <s xml:id="echoid-s2255" xml:space="preserve">l’autre eſtinuiſible, & </s> <s xml:id="echoid-s2256" xml:space="preserve">in-<lb/>diuiſible, puis que la viſibilité vient de <lb/>la couleur, ou de la lumiere, & </s> <s xml:id="echoid-s2257" xml:space="preserve">la diui-<lb/>ſibilité de la quantité, qui ne ſont pas <lb/>neceſſaire à l’eſſence de ladite forme, <lb/>ou de la matiere.</s> <s xml:id="echoid-s2258" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div74" type="section" level="1" n="72"> <head xml:id="echoid-head111" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s2259" xml:space="preserve">Le ſel peut rendre la terre ſterile, par-<lb/>ce<unsure/> qu’il empeſche les corruptions or-<lb/>dinaires, qui<unsure/> ſe font dans ſa ſurface, car <lb/>la generation n’ariue pas ſans la cor-<lb/>ruption: </s> <s xml:id="echoid-s2260" xml:space="preserve">Mais le diſcours des ſels meri-<lb/>te vn tr<unsure/>aité particulier, puis qu’il y a <lb/>autant de diſſerence de ſels, qu’il y a <lb/>de differĕte<unsure/>s eſpeces de mixtes: </s> <s xml:id="echoid-s2261" xml:space="preserve">ce que <lb/>l’on peut auſſi dire des differents ſom<unsure/>l-<lb/>phres, & </s> <s xml:id="echoid-s2262" xml:space="preserve">mercures.</s> <s xml:id="echoid-s2263" xml:space="preserve"/> </p> <pb o="154" file="00173" n="172" rhead="Queſtions Phyſiques,"/> </div> <div xml:id="echoid-div75" type="section" level="1" n="73"> <head xml:id="echoid-head112" xml:space="preserve"><emph style="sc">Qvestion</emph> XX<unsure/>XIII.</head> <head xml:id="echoid-head113" style="it" xml:space="preserve">A quoy ſeruent les raiſons, & les propor-<lb/>iions de la Geometrie? où l’on void la <lb/>quadrature de la Parabole.</head> <p> <s xml:id="echoid-s2264" xml:space="preserve">CEux qui ſe contentent de ſçauoir <lb/>le nom, & </s> <s xml:id="echoid-s2265" xml:space="preserve">la ſigniſication des rai-<lb/>ſons, & </s> <s xml:id="echoid-s2266" xml:space="preserve">des proportions, ne croyent pas <lb/>que l’on en puiſſe tirer de grandes vtili-<lb/>tez, c’eſt pourquoy ils les negligent-<unsure/> <lb/>mais s’ils conſiderent que la plus excel-<lb/>lĕte par<unsure/>tie de la Logique d’Atiſtote dé-<lb/>pend de ces raiſons, & </s> <s xml:id="echoid-s2267" xml:space="preserve">que l’on ne ſçau-<lb/>roit entĕdre ou expliquer aucune cho-<lb/>ſe parfaictement ſans leur aide, comme <lb/>il eſt ayſé de prouuer par toutes les par-<lb/>ties de la Philoſophie, ils quitteron@ <lb/>leur opinion. </s> <s xml:id="echoid-s2268" xml:space="preserve">Or encore que la diui-<lb/>ſion, & </s> <s xml:id="echoid-s2269" xml:space="preserve">la compoſition des raiſons, & </s> <s xml:id="echoid-s2270" xml:space="preserve"><lb/>que les differentes analogies, ou pro-<lb/>portions ſeruent plus ſonuent à la Geo-<lb/>metrie, qu’aux autres parties de la Phy-<lb/>ſique, elles ſont neãtmoins treſ-neceſ-<lb/>ſaires pour cntendre la proportion des <lb/>mouuemens naturels,<unsure/> & </s> <s xml:id="echoid-s2271" xml:space="preserve">des violens, <pb o="155" file="00174" n="173" rhead="& Mathematiques."/> commeie monſtreray dans vn diſcours <lb/>particulier, dans lequel i’expliqueray <lb/>la propottion des viſteſſes de la picrre, <lb/>ou des auttes corps qui deſcĕdent vers <lb/>le centre de la terre, ſoit dans l’air, ou <lb/>dans l’eau.</s> <s xml:id="echoid-s2272" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2273" xml:space="preserve">Elles ſerucnt auſſi pour la perſpecti-<lb/>ue, & </s> <s xml:id="echoid-s2274" xml:space="preserve">pour toutes les parties de l’Opti-<lb/>que: </s> <s xml:id="echoid-s2275" xml:space="preserve">& </s> <s xml:id="echoid-s2276" xml:space="preserve">ceux qui ſuiuent l’égalité des <lb/>tons, & </s> <s xml:id="echoid-s2277" xml:space="preserve">des demitons dans la Mu<unsure/>ſique, <lb/>ſont contraints de trouuer 11. </s> <s xml:id="echoid-s2278" xml:space="preserve">lignes <lb/>moyennes proportionnelles entre les <lb/>2. </s> <s xml:id="echoid-s2279" xml:space="preserve">qui font l’octaue, dont i’explique <lb/>l’inuention dans le traité du Luth, & </s> <s xml:id="echoid-s2280" xml:space="preserve"><lb/>dans celuy du diapaſon des Orgues. </s> <s xml:id="echoid-s2281" xml:space="preserve">Fi-<lb/>nalement les Mechaniques ne peuuent <lb/>eſtre entenduës ſans les raiſons, & </s> <s xml:id="echoid-s2282" xml:space="preserve">les <lb/>proportiõs, dont i’ay traité fort ample-<lb/>ment dans vn @@uie entier: </s> <s xml:id="echoid-s2283" xml:space="preserve">Mais il faut <lb/>ſçauoir le 5. </s> <s xml:id="echoid-s2284" xml:space="preserve">liure des Elemens d Eucli-<lb/>de pour les entendre en perſection. </s> <s xml:id="echoid-s2285" xml:space="preserve">I’a-<lb/>jo<unsure/>uſte ſeulementicy l’vtilité de ces rai-<lb/>ſons, qu’Archimede a demonſtrées en <lb/>quarrant la parabole, dont l’vne eſt que <lb/>ſi l’on décrit vne ligne perpendiculaire <lb/>à la baſe de la ſection parabolique, par <lb/>le<unsure/> milicu de ladite baſe, & </s> <s xml:id="echoid-s2286" xml:space="preserve">vne autre pat <lb/>le milie<unsure/>u du reſte de la baſe, c’eſt à dire <pb o="156" file="00175" n="174" rhead="Queſtions Phyſiques,"/> par le quart de la baſe, iuſques à la ſe-<lb/>ctiõ, la plus grande ligne eſt ſeſquitier-<lb/>ce de la moindre, par la 19. </s> <s xml:id="echoid-s2287" xml:space="preserve">propoſition:</s> <s xml:id="echoid-s2288" xml:space="preserve"><unsure/> <lb/>La 2. </s> <s xml:id="echoid-s2289" xml:space="preserve">vtilité ſe prend du triangle inſcrit <lb/>dans ladite ſection, (qu’il appelle por-<lb/>tion compriſe ſouz vne ligne droite, & </s> <s xml:id="echoid-s2290" xml:space="preserve"><lb/>ſouz la ſection d’vn conerectangle) qui <lb/>a la meſme baſe, & </s> <s xml:id="echoid-s2291" xml:space="preserve">la meſme hauteur <lb/>que ladite ſection, lequel eſt octuple <lb/>des 2. </s> <s xml:id="echoid-s2292" xml:space="preserve">triangles, qui ſont inſcripts dans <lb/>les 2. </s> <s xml:id="echoid-s2293" xml:space="preserve">petites portions de la ſection qu’il <lb/>laiſſe à ſes 2. </s> <s xml:id="echoid-s2294" xml:space="preserve">coſtez: </s> <s xml:id="echoid-s2295" xml:space="preserve">Et chacun de ſes <lb/>triangles eſt octuple des 2. </s> <s xml:id="echoid-s2296" xml:space="preserve">autres, que <lb/>l’on décrit dans les 2. </s> <s xml:id="echoid-s2297" xml:space="preserve">petites portions <lb/>qu’ils laiſſent à leurs coſtez: </s> <s xml:id="echoid-s2298" xml:space="preserve">ce qui arri-<lb/>ue à tous les autres petits triangles que <lb/>l’on peut décrire dans les petites por-<lb/>tiõs, quireſtent touſiours juſques à l’in-<lb/>ſini, comme il demonſtre dans la 21. <lb/></s> <s xml:id="echoid-s2299" xml:space="preserve">propoſition. </s> <s xml:id="echoid-s2300" xml:space="preserve">La 3. </s> <s xml:id="echoid-s2301" xml:space="preserve">vtilité eſt, que ledit <lb/>triangle dècrit dans la ſection parabo-<lb/>lique eſt ſouzſeſquitierce de ladite ſe-<lb/>ction, par la 24. </s> <s xml:id="echoid-s2302" xml:space="preserve">prop. </s> <s xml:id="echoid-s2303" xml:space="preserve">& </s> <s xml:id="echoid-s2304" xml:space="preserve">que ſi l’on prĕd <lb/>tant de grandeurs que l’on voudra, qui <lb/>ſe ſuiuent en raiſon quadruple, qu’eſtãt <lb/>adjouſtées auec le tiers de la moindre, <lb/>e<unsure/>lles ſont ſeſquitierces de la plus grãde, <lb/>cõme l’on void dans ces 4 nõbres 3. </s> <s xml:id="echoid-s2305" xml:space="preserve">12.</s> <s xml:id="echoid-s2306" xml:space="preserve"> <pb o="157" file="00176" n="175" rhead="& Mathematiques."/> 48. </s> <s xml:id="echoid-s2307" xml:space="preserve">192. </s> <s xml:id="echoid-s2308" xml:space="preserve">car l’vnité, qui eſt le<unsure/> tiers de 3. <lb/></s> <s xml:id="echoid-s2309" xml:space="preserve">adjouſtée à la ſomme de ces 4. </s> <s xml:id="echoid-s2310" xml:space="preserve">nõbres, <lb/>fait 256. </s> <s xml:id="echoid-s2311" xml:space="preserve">qui eſt ſeſquitierce de 192. </s> <s xml:id="echoid-s2312" xml:space="preserve">L’õ <lb/>trouue quaſi la meſme choſe dans le <lb/>tiers du quart, car ſi on les adiouſte en-<lb/>ſemble, ils font le tiers du total; </s> <s xml:id="echoid-s2313" xml:space="preserve">par <lb/>exĕple, l’vnité qui eſt le tiers du quart <lb/>de 12. </s> <s xml:id="echoid-s2314" xml:space="preserve">c’eſt à dire de 3. </s> <s xml:id="echoid-s2315" xml:space="preserve">adiouſtee à 3. </s> <s xml:id="echoid-s2316" xml:space="preserve">fait <lb/>4. </s> <s xml:id="echoid-s2317" xml:space="preserve">quieſt {1/3} de 12. </s> <s xml:id="echoid-s2318" xml:space="preserve">ce qui peut ſeruir aux <lb/>Muſiciens pour l’interualle, oula rai-<lb/>ſon du Diateſſaron, qu’ils appellent la <lb/>Quarte, car cette raiſon, & </s> <s xml:id="echoid-s2319" xml:space="preserve">ce tiers ont <lb/>ſerui à Archimede pour la quadrature <lb/>de la parabole, laquelle il a trouuée en <lb/>ſuppoſant que l’õ peut tellemĕt adiou-<lb/>ſter, ou cõpoſer l’eſpace, dont le plus <lb/>grãd ſurpaſſe le moindre, qu’il ſera plus <lb/>grand que tout autre eſpace dõné, dont <lb/>le<unsure/>s autres Geometres plus anciĕs qu’ Ar-<lb/>chimede ont ſemblablement vſé pour <lb/>demonſtrer que tous les cercles ſont en <lb/>raiſon doublée, & </s> <s xml:id="echoid-s2320" xml:space="preserve">les ſpheres en raiſon <lb/>triplée de leurs diametres: </s> <s xml:id="echoid-s2321" xml:space="preserve">que toutes <lb/>les pyram<unsure/>ides ſont le tiers du priſme, <lb/>quia la meſme baſe, & </s> <s xml:id="echoid-s2322" xml:space="preserve">la meſme hau-<lb/>teur: </s> <s xml:id="echoid-s2323" xml:space="preserve">& </s> <s xml:id="echoid-s2324" xml:space="preserve">que tout cone eſt le tiers du cy-<lb/>lindre, qui a meſme baſe, & </s> <s xml:id="echoid-s2325" xml:space="preserve">meſme <lb/>hauteur.</s> <s xml:id="echoid-s2326" xml:space="preserve"/> </p> <pb o="158" file="00177" n="176" rhead="Queſtions Phyſiques,"/> </div> <div xml:id="echoid-div76" type="section" level="1" n="74"> <head xml:id="echoid-head114" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXIV.</head> <head xml:id="echoid-head115" style="it" xml:space="preserve">Quelles raiſons a-t’on pour prouuer, & pour <lb/>perſuader le mouucment de laterre, <lb/>autour de ſon axc, dans l’eſpace <lb/>de vingt-quatre heures?</head> <p> <s xml:id="echoid-s2327" xml:space="preserve">LA premiere raiſon dõt on vſe pour <lb/>prouuer que la terre ſe meut, & </s> <s xml:id="echoid-s2328" xml:space="preserve"><lb/>qu’elle fait chaque @our ſon tour en-<lb/>tier, ſe prend de ce qu’il n’y a nulle ap-<lb/>parcnce que toute la grande machine <lb/>de l’vniuers ſe remuë, & </s> <s xml:id="echoid-s2329" xml:space="preserve">que le ſirma-<lb/>mĕt, ou les eſtoiles facent chaque iout <lb/>6000. </s> <s xml:id="echoid-s2330" xml:space="preserve">licuës, ce qui ſemble incompre-<lb/>henſible: </s> <s xml:id="echoid-s2331" xml:space="preserve">au lieu que ſi la terre ſe meut, <lb/>elle fait ſeulemĕt 7200. </s> <s xml:id="echoid-s2332" xml:space="preserve">lieuës pariour, <lb/>c<unsure/>‘eſt à dire 14000. </s> <s xml:id="echoid-s2333" xml:space="preserve">moins que les eſtoi-<lb/>les. </s> <s xml:id="echoid-s2334" xml:space="preserve">2. </s> <s xml:id="echoid-s2335" xml:space="preserve">L’ordre de la nature ſemble <lb/>mieux eſtabli ſi les moindres corps ſe <lb/>meuuent plus viſte, & </s> <s xml:id="echoid-s2336" xml:space="preserve">les plus grands <lb/>plus lentement: </s> <s xml:id="echoid-s2337" xml:space="preserve">par exemple, ſi ♄ fait <lb/>ſon tour en 30. </s> <s xml:id="echoid-s2338" xml:space="preserve">ans, ♃ en 12. </s> <s xml:id="echoid-s2339" xml:space="preserve">♂ en 2. <lb/></s> <s xml:id="echoid-s2340" xml:space="preserve">@ en 9. </s> <s xml:id="echoid-s2341" xml:space="preserve">mois, ☿ en 80. </s> <s xml:id="echoid-s2342" xml:space="preserve">iours, la @ en vn <lb/>mois, la premiere cõpagne de ♃ en 24. </s> <s xml:id="echoid-s2343" xml:space="preserve"><lb/>heu<unsure/>r. </s> <s xml:id="echoid-s2344" xml:space="preserve">la 2. </s> <s xml:id="echoid-s2345" xml:space="preserve">en 3. </s> <s xml:id="echoid-s2346" xml:space="preserve">iours & </s> <s xml:id="echoid-s2347" xml:space="preserve">{1/2}: </s> <s xml:id="echoid-s2348" xml:space="preserve">la 3. </s> <s xml:id="echoid-s2349" xml:space="preserve">en7. </s> <s xml:id="echoid-s2350" xml:space="preserve">iours, <pb o="159" file="00178" n="177" rhead="& Mathematiques."/> & </s> <s xml:id="echoid-s2351" xml:space="preserve">la 4. </s> <s xml:id="echoid-s2352" xml:space="preserve">en 16. </s> <s xml:id="echoid-s2353" xml:space="preserve">iourscõme remarque Gali-<lb/>lée, & </s> <s xml:id="echoid-s2354" xml:space="preserve">ſinalemĕt la terre dãs vn iour, ou <lb/>dãs vn an, de ſorte que les eſtoile@, & </s> <s xml:id="echoid-s2355" xml:space="preserve">le <lb/>Soleil demeurent i<unsure/>mmobiles ſi l’on ex-<lb/>cepte le mouuement du Soleil, qui ſe <lb/>fait dans 27. </s> <s xml:id="echoid-s2356" xml:space="preserve">iours ou enuiron, ſur ſon <lb/>axe d’Occident en Orient, & </s> <s xml:id="echoid-s2357" xml:space="preserve">celuy des <lb/>eſtoiles pour expliquer la preceſſiõ des <lb/>équinoxes. </s> <s xml:id="echoid-s2358" xml:space="preserve">3. </s> <s xml:id="echoid-s2359" xml:space="preserve">Puiſque la terre a be-<lb/>ſoin du Soleil, elle doit l’aller chercher, <lb/>comme nous cherchons le feu, dont <lb/>nous auons beſoin: </s> <s xml:id="echoid-s2360" xml:space="preserve">car ſi nous ne deſi-<lb/>rõs pas que les villes, & </s> <s xml:id="echoid-s2361" xml:space="preserve">les campagnes <lb/>ſe tournent, quand nous montons au <lb/>haut des tours pour les contĕpler, auſſi <lb/>ne deuons nous pas deſirer que le So-<lb/>leil, & </s> <s xml:id="echoid-s2362" xml:space="preserve">les eſtoiles ſe tournent pour en-<lb/>uiſager la terre. </s> <s xml:id="echoid-s2363" xml:space="preserve">4. </s> <s xml:id="echoid-s2364" xml:space="preserve">Il n’eſt pas à pro-<lb/>pos d’attribuer 2. </s> <s xml:id="echoid-s2365" xml:space="preserve">mouuemĕts contrai-<lb/>res à vn meſme corps, ce que font neãt-<lb/>moins ceu<unsure/>x qui diſent que les eſtoiles, <lb/>& </s> <s xml:id="echoid-s2366" xml:space="preserve">les autres aſtres ſe meuuent, & </s> <s xml:id="echoid-s2367" xml:space="preserve">que <lb/>la terre eſt immobile, car il eſt beau-<lb/>coup pl<emph style="sub">9</emph> facile de tenir qu’elle ſe meut <lb/>d’Occident en Orient, tandis que la <lb/>Lune, & </s> <s xml:id="echoid-s2368" xml:space="preserve">les autres planettes ſe meu-<lb/>uent ſeulement de leur propre mouue-<lb/>ment. </s> <s xml:id="echoid-s2369" xml:space="preserve">Lanſberge croid que la premie- <pb o="160" file="00179" n="178" rhead="Queſtions Phyſiques,"/> reraiſon eſt demonſtratiue, qui conſi-<lb/>ſte en ce que le Soleil eſt éloigné de la <lb/>terre de 1498 {1/2} ſemidiametres terre-<lb/>ſtres, lors qu’il eſt en ſa moyĕne diſtan-<lb/>ce, & </s> <s xml:id="echoid-s2370" xml:space="preserve">que les eſtoiles en ſont éloignées <lb/>de 10302927. </s> <s xml:id="echoid-s2371" xml:space="preserve">ſemidiametres; </s> <s xml:id="echoid-s2372" xml:space="preserve">d’où il ar-<lb/>riue que les eſtoiles font chaque heure <lb/>23178529692. </s> <s xml:id="echoid-s2373" xml:space="preserve">lieuës d’Allemagne, & </s> <s xml:id="echoid-s2374" xml:space="preserve"><lb/>dans vn battement de l’attere, ou dans <lb/>vne ſeconde minute, 643848. </s> <s xml:id="echoid-s2375" xml:space="preserve">lieuës, <lb/>ou enuiron: </s> <s xml:id="echoid-s2376" xml:space="preserve">au lieu que la terre, dontil <lb/>met le circuit de 400. </s> <s xml:id="echoid-s2377" xml:space="preserve">lieuës, ne fait <lb/>que la ſezieſme partie d’vne lieuë, c’eſt <lb/>à dire 250. </s> <s xml:id="echoid-s2378" xml:space="preserve">pas dans vne ſeconde: </s> <s xml:id="echoid-s2379" xml:space="preserve">qui <lb/>n’eſt guere dauantage que ce que fait <lb/>vne bale d’arquebuſe en meſme temps.</s> <s xml:id="echoid-s2380" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2381" xml:space="preserve">Ie laiſſe pluſieurs autres raiſons, que <lb/>l’on apporte pour le mouuement de la <lb/>terre: </s> <s xml:id="echoid-s2382" xml:space="preserve">par exemple, qu’il explique tou-<lb/>tes les apparences, ou les phenomenes <lb/>plus clairement, & </s> <s xml:id="echoid-s2383" xml:space="preserve">plus briefuement; <lb/></s> <s xml:id="echoid-s2384" xml:space="preserve">qu’il s’enſuit meſme qu’elle ſe meut, ſi <lb/>les cieux ſe meuuent, parce qu’ils la <lb/>doiuent rauir auec eux, puis qu’elle n’a <lb/>nulle reſiſtence, à raiſon qu’elle ne s’é-<lb/>loigne point de ſon centre, & </s> <s xml:id="echoid-s2385" xml:space="preserve">pluſieurs<unsure/> <lb/>autres, auſquelles Monſieur Morin <pb o="161" file="00180" n="179" rhead="& Mathematiques."/> Profeſſeur royal a répondu dans vn li-<lb/>ure particulier; </s> <s xml:id="echoid-s2386" xml:space="preserve">de ſorte qu’il n’y a nulle <lb/>raiſon qui prouue le mouuement de la <lb/>terre, car puis que Dieu a enuoyé ſon <lb/>Fils pour nous ſauuer par ſa mort, l’on <lb/>ne doit pas s’étonner s’il faitrouller les <lb/>cieux pour nous, & </s> <s xml:id="echoid-s2387" xml:space="preserve">s’il a creé tout le <lb/>monde conporel pour l’vſage, & </s> <s xml:id="echoid-s2388" xml:space="preserve">pourle <lb/>plaiſir des hommes.</s> <s xml:id="echoid-s2389" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2390" xml:space="preserve">Mais nous n’en ſçauons point auſſi <lb/>iuſques à preſent qui prouue ſon im-<lb/>mobilité, car il n’y a pas plus d’abſur-<lb/>dité de faire les eſtoiles de la premiere <lb/>grandeur 127. </s> <s xml:id="echoid-s2391" xml:space="preserve">ſois plus grandes que le <lb/>grand orbe terreſtre, & </s> <s xml:id="echoid-s2392" xml:space="preserve">1575473627. <lb/></s> <s xml:id="echoid-s2393" xml:space="preserve">fois plus grandes que le Soleil, que de <lb/>faire aller les eſtoiles ſi viſte qu’elles ſa-<lb/>cent ſix cent mille lieuës dans le temps <lb/>d’vn battement d’artere. </s> <s xml:id="echoid-s2394" xml:space="preserve">Et bien que <lb/>nous ne ſçachions pas pourquoy il y a <lb/>59967010. </s> <s xml:id="echoid-s2395" xml:space="preserve">lieues, entre ♄ & </s> <s xml:id="echoid-s2396" xml:space="preserve">les eſtoi-<lb/>les, il ne s’enſuit pas que cet eſpace no<unsure/> <lb/>ſoit veritable. </s> <s xml:id="echoid-s2397" xml:space="preserve">Il n’eſt pas auſſi neceſ-<lb/>ſairc<unsure/> de ſçauoir la cauſe dumouuement <lb/>de la terre, pour aduoüer qu’elle ſe <lb/>meut, puiſque ceux qui mettĕt le mou-<lb/>ue<unsure/>ment des eſtoiles, n’en connoiſſent <lb/>pas<unsure/>la cavſe. </s> <s xml:id="echoid-s2398" xml:space="preserve">Quant à l’Aſtrologie lu- <pb o="162" file="00181" n="180" rhead="Queſtions Phyſiques,"/> diciaire, elle demeure en ſon entier, <lb/>encore que l’on mette la terre mobile, <lb/>car il n’eſt pas neceſſaire qu’elle ſere-<lb/>poſe pour receuoir les inſluences du <lb/>Ciel, qui ont vne moindre force au cĕ-<lb/>tre qu’és autres endroits: </s> <s xml:id="echoid-s2399" xml:space="preserve">car ſi l’on diſ-<lb/>poſe pluſi<unsure/>eurs chandelles en rond, le <lb/>centre ſera le moins illuminé de tous <lb/>les points, qui ſeront dans le cercle. </s> <s xml:id="echoid-s2400" xml:space="preserve">Et <lb/>quand cet art ſeroit oſté d’entre les au-<lb/>tres, l’on n’auroit perdu nulle ſcience, <lb/>puis qu’il n’a nulle demonſtration.</s> <s xml:id="echoid-s2401" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2402" xml:space="preserve">Les autres raiſons que l’on apporte <lb/>pour prouuer ſon immobilité, ne ſont <lb/>pas meilleures: </s> <s xml:id="echoid-s2403" xml:space="preserve">car les corps peſans, qui <lb/>deſcendent du haut d’vne tour, tom-<lb/>bent auſſi bien perpendiculairement <lb/>ſur la terre, que ſi elle eſtoit ſtable, par-<lb/>ce que toutes les choſes corporelles, <lb/>qui ſont proches de la terre, ſont por-<lb/>tées en rond comme elle, & </s> <s xml:id="echoid-s2404" xml:space="preserve">ſont tou-<lb/>ſiours également éloignées du meſme <lb/>point de la terre. </s> <s xml:id="echoid-s2405" xml:space="preserve">Et lors que l’on jette <lb/>vne pierre, ou que l’on tire le canon <lb/>vers l’Orient, il va auſſiloin que du co-<lb/>ſté de l’Occident, encore que l’on ſup-<lb/>poſe que la terre ſe meuue vers l’Oriĕt, <lb/>& </s> <s xml:id="echoid-s2406" xml:space="preserve">qu elle face 250. </s> <s xml:id="echoid-s2407" xml:space="preserve">pas Geometriques <pb o="163" file="00182" n="181" rhead="& Mathematiques."/> dans vne ſecõde minute d’heure, d’au-<lb/>tant que le boulet eſt porté du meſme <lb/>mouuement que la terre, & </s> <s xml:id="echoid-s2408" xml:space="preserve">outi<unsure/>e ce <lb/>mouuement commun, il a le violent, <lb/>qui le porte touſiours également loin <lb/>de quelque coſté que l’on le puiſſe ti-<lb/>ret: </s> <s xml:id="echoid-s2409" xml:space="preserve">& </s> <s xml:id="echoid-s2410" xml:space="preserve">s’il fait 250. </s> <s xml:id="echoid-s2411" xml:space="preserve">pas vers l’Occident <lb/>dant vne ſeconde minute, comme fait <lb/>la terre vers l’Orient, l’õ peut dire quſrs;</s> <s xml:id="echoid-s2412" xml:space="preserve">il <lb/>demeure dans vn meſme lieu, encore <lb/>quſrs;</s> <s xml:id="echoid-s2413" xml:space="preserve">il abbatte les murailles, dſrs;</s> <s xml:id="echoid-s2414" xml:space="preserve">autãt quſrs;</s> <s xml:id="echoid-s2415" xml:space="preserve">il <lb/>nſrs;</s> <s xml:id="echoid-s2416" xml:space="preserve">importe que la muraille ſe meuue <lb/>vers le boulet, ou le boulet vers la mu-<lb/>raille, pourueu quſrs;</s> <s xml:id="echoid-s2417" xml:space="preserve">il tienne ferme à la <lb/>rencontre: </s> <s xml:id="echoid-s2418" xml:space="preserve">de ſorte que ſi lſrs;</s> <s xml:id="echoid-s2419" xml:space="preserve">on tiroit vn <lb/>coup de mouſquet vers lſrs;</s> <s xml:id="echoid-s2420" xml:space="preserve">Occident, <lb/>dans vn parallele de la terre, quiallaſt <lb/>de meſme viſteſſe vers lſrs;</s> <s xml:id="echoid-s2421" xml:space="preserve">Occident, ſila <lb/>bale alloit touſiours dſrs;</s> <s xml:id="echoid-s2422" xml:space="preserve">vne meſme vi-<lb/>ſteſle, elle demeureroit touſiours dans <lb/>vn meſme lieu au regard des eſtoiles, <lb/>ou de quelquſrs;</s> <s xml:id="echoid-s2423" xml:space="preserve">autre point immobile.</s> <s xml:id="echoid-s2424" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2425" xml:space="preserve">Ie laiſſe pluſieurs autres raiſons, com-<lb/>me eſt celle que lſrs;</s> <s xml:id="echoid-s2426" xml:space="preserve">on prend du mouue-<lb/>ment droit, que lſrs;</s> <s xml:id="echoid-s2427" xml:space="preserve">on ſuppoſe le plus <lb/>ſimple de tous, car il nſrs;</s> <s xml:id="echoid-s2428" xml:space="preserve">eſt nullement <lb/>neceſſaire que les pierres tombent au <lb/>centre par vn mouuement droict, puis <pb o="164" file="00183" n="182" rhead="Queſtions Phyſiques,"/> que le circulaire leur eſt auſſi propre, & </s> <s xml:id="echoid-s2429" xml:space="preserve"><lb/>auſſi aiſé, comme ie monſtreray dans <lb/>vn diſcours particulier, dans lequel on <lb/>verra, que toutes choſes ſe meuuent <lb/>circulairement, ou par helices, dans la <lb/>ſuppoſition du mouuement de la terre. <lb/></s> <s xml:id="echoid-s2430" xml:space="preserve">Et puis lſrs;</s> <s xml:id="echoid-s2431" xml:space="preserve">on peut dire que le mouuemĕt <lb/>circulaire eſt le plus ſimple de tous, puis <lb/>que le cercle eſt la pius ſimple de tou-<lb/>tes les figures, & </s> <s xml:id="echoid-s2432" xml:space="preserve">que la ſphere eſt le <lb/>plus ſimple de tous le<unsure/>s corps. </s> <s xml:id="echoid-s2433" xml:space="preserve">Ie laiſſe <lb/>cncore la 4. </s> <s xml:id="echoid-s2434" xml:space="preserve">& </s> <s xml:id="echoid-s2435" xml:space="preserve">5. </s> <s xml:id="echoid-s2436" xml:space="preserve">i<unsure/>aiſon de Monſieur <lb/>Morin, par leſquelles il combat la ver-<lb/>tu magnetique, ou attractrice de la ter-<lb/>re, dſrs;</s> <s xml:id="echoid-s2437" xml:space="preserve">autant quſrs;</s> <s xml:id="echoid-s2438" xml:space="preserve">elles meritent vn exa-<lb/>men plus particulier, qui ne ſe peut fai-<lb/>re dans la brieueté que ie me ſuis pro-<lb/>poſée dans cette petite queſtion, par la-<lb/>quelle on void quſrs;</s> <s xml:id="echoid-s2439" xml:space="preserve">il nſrs;</s> <s xml:id="echoid-s2440" xml:space="preserve">y a point de de-<lb/>monſtration naturelle qui contraigne <lb/>dſrs;</s> <s xml:id="echoid-s2441" xml:space="preserve">embraſſer la ſtabilité, ou la mobi<gap/>té <lb/>de la terre.</s> <s xml:id="echoid-s2442" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div77" type="section" level="1" n="75"> <head xml:id="echoid-head116" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s2443" xml:space="preserve">La raiſon fondamentale dont on a <lb/>vſé iuſques à preſent pour prouuer la <lb/>mobilité de la terre, nſrs;</s> <s xml:id="echoid-s2444" xml:space="preserve">eſt pas bonne, <pb o="165" file="00184" n="183" rhead="& Mathematiques."/> parce quſrs;</s> <s xml:id="echoid-s2445" xml:space="preserve">elle prouue trop, ou quſrs;</s> <s xml:id="echoid-s2446" xml:space="preserve">elle <lb/>ſuppoſe bcaucoup dſrs;</s> <s xml:id="echoid-s2447" xml:space="preserve">ignorance car puis <lb/>que Dieu nſrs;</s> <s xml:id="echoid-s2448" xml:space="preserve">a pas ſuiuy dans lſrs;</s> <s xml:id="echoid-s2449" xml:space="preserve">eſtat de la <lb/>grace le chemin le plus court de tous <lb/>les poſſibles, pour nous ſauuer<unsure/>. </s> <s xml:id="echoid-s2450" xml:space="preserve">attendu <lb/>quſrs;</s> <s xml:id="echoid-s2451" xml:space="preserve">il le pouuoit faire dſrs;</s> <s xml:id="echoid-s2452" xml:space="preserve">vn ſeul acte de <lb/>volonté, pourquoy conclurons nous <lb/>quſrs;</s> <s xml:id="echoid-s2453" xml:space="preserve">il a gardé le chemin leplus court dãs <lb/>la nature ? </s> <s xml:id="echoid-s2454" xml:space="preserve">Ne ſetoit-ce pas le plus <lb/>court pour la ſanté, ou pour la guari-<lb/>ſon des corps, quſrs;</s> <s xml:id="echoid-s2455" xml:space="preserve">il y euſt quelque trou <lb/>vers le talon, par lequel toutes les hu-<lb/>meurs ſuperfluës peuſſent ſortir sãsvſer <lb/>de tant de medecines ? </s> <s xml:id="echoid-s2456" xml:space="preserve">Certes ſi lſrs;</s> <s xml:id="echoid-s2457" xml:space="preserve">on <lb/>veut sſrs;</s> <s xml:id="echoid-s2458" xml:space="preserve">amuſer à conſiderer toutes lcs <lb/>œuures de la nature, & </s> <s xml:id="echoid-s2459" xml:space="preserve">à epiloguer deſ-<lb/>ſus, lſrs;</s> <s xml:id="echoid-s2460" xml:space="preserve">on y trouuera touſiours à repren-<lb/>dre, mais ce ſera auec les raiſons de <lb/>Momus, qui ſeront fondées ſur la pre-<lb/>ſomption de lſrs;</s> <s xml:id="echoid-s2461" xml:space="preserve">homme, & </s> <s xml:id="echoid-s2462" xml:space="preserve">ſur lſrs;</s> <s xml:id="echoid-s2463" xml:space="preserve">ignoran-<lb/>ce de celles que Dieu à euës en eſtabliſ-<lb/>ſant la fermeté de la terre, & </s> <s xml:id="echoid-s2464" xml:space="preserve">la mobili-<lb/>té des aſtres, ou en faiſant quelquſrs;</s> <s xml:id="echoid-s2465" xml:space="preserve">autre <lb/>piece de lſrs;</s> <s xml:id="echoid-s2466" xml:space="preserve">vniuers, dont tous admire-<lb/>roient beaucoup plus lſrs;</s> <s xml:id="echoid-s2467" xml:space="preserve">artiſice, que lſrs;</s> <s xml:id="echoid-s2468" xml:space="preserve">on <lb/>ne fait celuy des oraiſons de Ciceron, <lb/>des Poëmes de Virgile, ou des propoſi-<lb/>tions dſrs;</s> <s xml:id="echoid-s2469" xml:space="preserve">Euclide, (encore que quelques- <pb o="166" file="00185" n="184" rhead="Queſtions Phyſiques,"/> vns maintiennent que lſrs;</s> <s xml:id="echoid-s2470" xml:space="preserve">on nſrs;</s> <s xml:id="echoid-s2471" xml:space="preserve">en peut <lb/>oſter vne diction, ou vne lettre, que <lb/>lſrs;</s> <s xml:id="echoid-s2472" xml:space="preserve">on ne gaſte tout, ou que lſrs;</s> <s xml:id="echoid-s2473" xml:space="preserve">on nſrs;</s> <s xml:id="echoid-s2474" xml:space="preserve">en oſte <lb/>la grace) sſrs;</s> <s xml:id="echoid-s2475" xml:space="preserve">ils en connoiſſoient les rai-<lb/>ſons, & </s> <s xml:id="echoid-s2476" xml:space="preserve">les reſſorts, que nous verrons <lb/>treſ clairement, quand celuy qui gou-<lb/>uerne la grande machine de ce monde, <lb/>nous en découurira les ſecrets, & </s> <s xml:id="echoid-s2477" xml:space="preserve">la <lb/>ſcience.</s> <s xml:id="echoid-s2478" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div78" type="section" level="1" n="76"> <head xml:id="echoid-head117" xml:space="preserve">COROLLAIRE. II.</head> <p> <s xml:id="echoid-s2479" xml:space="preserve">Ie parleray encore du mouuement <lb/>de la terre dans la queſtion 44. </s> <s xml:id="echoid-s2480" xml:space="preserve">& </s> <s xml:id="echoid-s2481" xml:space="preserve">45. <lb/></s> <s xml:id="echoid-s2482" xml:space="preserve">qui contiĕnent lſrs;</s> <s xml:id="echoid-s2483" xml:space="preserve">a bregé des Dialogues <lb/>que Galilée a faits dudit mouuement, <lb/>pour conſirmer les Hypotheſes dſrs;</s> <s xml:id="echoid-s2484" xml:space="preserve">Ari-<lb/>ſtarque, & </s> <s xml:id="echoid-s2485" xml:space="preserve">de Copernic. </s> <s xml:id="echoid-s2486" xml:space="preserve">Or lſrs;</s> <s xml:id="echoid-s2487" xml:space="preserve">on peut <lb/>sſrs;</s> <s xml:id="echoid-s2488" xml:space="preserve">imaginer de nouuelles raiſons en fa-<lb/>ueur du mouuement journalier de la <lb/>terre, qui ne ſeruent de rien pour lſrs;</s> <s xml:id="echoid-s2489" xml:space="preserve">an-<lb/>nuel, dontie parleray dans la 37. </s> <s xml:id="echoid-s2490" xml:space="preserve">que-<lb/>ſtion: </s> <s xml:id="echoid-s2491" xml:space="preserve">par exemple, que ſiles eſtoiles, <lb/>& </s> <s xml:id="echoid-s2492" xml:space="preserve">les planettes ſe meuuent, quſrs;</s> <s xml:id="echoid-s2493" xml:space="preserve">il eſt <lb/>neceſſaire que la terre, quinſrs;</s> <s xml:id="echoid-s2494" xml:space="preserve">a nul apuy, <lb/>ou empeſchement qui lſrs;</s> <s xml:id="echoid-s2495" xml:space="preserve">exépte dſrs;</s> <s xml:id="echoid-s2496" xml:space="preserve">eſtre <lb/>rauie par leſdits aſtres pour tourner ſur <lb/>ſon axe, face touſiours ſon tour; </s> <s xml:id="echoid-s2497" xml:space="preserve">& </s> <s xml:id="echoid-s2498" xml:space="preserve">plu- <pb o="167" file="00186" n="185" rhead="& Mathematiques."/> ſicurs autres que iſrs;</s> <s xml:id="echoid-s2499" xml:space="preserve">obmets, de peur dſrs;</s> <s xml:id="echoid-s2500" xml:space="preserve">e-<lb/>ſtre trop long. </s> <s xml:id="echoid-s2501" xml:space="preserve">Mais lſrs;</s> <s xml:id="echoid-s2502" xml:space="preserve">on trouuera tou-<lb/>ſiours de nouuelles ſolutions aux nou-<lb/>uelles raiſons, dſrs;</s> <s xml:id="echoid-s2503" xml:space="preserve">autant que nous ne <lb/>ſçaurõs iamais la maniere dont les pie-<lb/>ces de lſrs;</s> <s xml:id="echoid-s2504" xml:space="preserve">vniuers ont eſté eſtablies, iuſ-<lb/>ques à ce quſrs;</s> <s xml:id="echoid-s2505" xml:space="preserve">il plaiſe à Dieu de nous la <lb/>reueler: </s> <s xml:id="echoid-s2506" xml:space="preserve">de ſorre que nous pouuõs tou-<lb/>ſiours dire auec S. </s> <s xml:id="echoid-s2507" xml:space="preserve">Paul, nunc per ſpecu-<lb/>lum, & </s> <s xml:id="echoid-s2508" xml:space="preserve">in enigmatc, tunc autens<unsure/> facie ad <lb/>faciem.</s> <s xml:id="echoid-s2509" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div79" type="section" level="1" n="77"> <head xml:id="echoid-head118" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXV.</head> <head xml:id="echoid-head119" style="it" xml:space="preserve">Pourquoy fait-il plus chaud à lſrs; Eſté quſrs; à <lb/>lſrs;Hyuer, veu que le soleil eſt beaucoup <lb/>plus proche de nous à lſrs; Hyuer quſrs; à lſrs; Eſté? <lb/>& pourquoy fait-il froid à lſrs; ombre?</head> <p> <s xml:id="echoid-s2510" xml:space="preserve">ENtre mille choſes que lſrs;</s> <s xml:id="echoid-s2511" xml:space="preserve">on peut di-<lb/>re du soleil, il faut remarquer quſrs;</s> <s xml:id="echoid-s2512" xml:space="preserve">il <lb/>illumine & </s> <s xml:id="echoid-s2513" xml:space="preserve">eſchauffe la terre par 3. </s> <s xml:id="echoid-s2514" xml:space="preserve">ſor-<lb/>tes de rayons en meſme temps, dont le <lb/>plus fort eſt perpendiculaire, le 2. </s> <s xml:id="echoid-s2515" xml:space="preserve">eſt le <lb/>rayen, quitombe obliquement, & </s> <s xml:id="echoid-s2516" xml:space="preserve">qui <lb/>ſe rompt dans les vapeurs, qui ſont <lb/>lſrs;</s> <s xml:id="echoid-s2517" xml:space="preserve">atmoſphere, & </s> <s xml:id="echoid-s2518" xml:space="preserve">le 3. </s> <s xml:id="echoid-s2519" xml:space="preserve">eſt celuy que les <pb o="168" file="00187" n="186" rhead="Queſtions Phyſiques,"/> planettes, & </s> <s xml:id="echoid-s2520" xml:space="preserve">les eſtoiles reflechiſſent, <lb/>de ſorte que la partiedu Soleil que nous <lb/>ne voyons point, & </s> <s xml:id="echoid-s2521" xml:space="preserve">qui eſt tournée vers <lb/>le firmamĕt, nous éclaire par le moyen <lb/>de la reflexion, & </s> <s xml:id="echoid-s2522" xml:space="preserve">que lſrs;</s> <s xml:id="echoid-s2523" xml:space="preserve">hemiſphere du <lb/>Soleil que nous voyons, illumine auſſi <lb/>nos Antipodes. </s> <s xml:id="echoid-s2524" xml:space="preserve">Or il y en a qui tien-<lb/>nent que la raiſon pourquov il échauffe <lb/>dauantage en Eſté quſrs;</s> <s xml:id="echoid-s2525" xml:space="preserve">en Hyuer, neſe <lb/>doit pas prendre de ce que les rayons <lb/>tombent plus obliquemĕt, ou en moin-<lb/>dre nombre à lſrs;</s> <s xml:id="echoid-s2526" xml:space="preserve">Hyuer, puis que les co-<lb/>nes radicux qui ſe terminent à chaque <lb/>point de la terre, ſont dſrs;</s> <s xml:id="echoid-s2527" xml:space="preserve">vne égate for-<lb/>ce, & </s> <s xml:id="echoid-s2528" xml:space="preserve">que le Soleil nous frappe per-<lb/>pendiculairement en ſe leuant & </s> <s xml:id="echoid-s2529" xml:space="preserve">en ſe <lb/>couchant. </s> <s xml:id="echoid-s2530" xml:space="preserve">Cſrs;</s> <s xml:id="echoid-s2531" xml:space="preserve">eſt pourquoy nous ſenti-<lb/>rions plus de chaleur au leuer, & </s> <s xml:id="echoid-s2532" xml:space="preserve">au <lb/>coucher du Soleil, quſrs;</s> <s xml:id="echoid-s2533" xml:space="preserve">à ſon midy, sſrs;</s> <s xml:id="echoid-s2534" xml:space="preserve">il <lb/>nſrs;</s> <s xml:id="echoid-s2535" xml:space="preserve">y auoit null<unsure/>es vapeurs Ce que lſrs;</s> <s xml:id="echoid-s2536" xml:space="preserve">on <lb/>peut conſirmer par les bords de la Lu-<lb/>ne qui ſont auſſi luiſans que ſon milieu, <lb/>encore quſrs;</s> <s xml:id="echoid-s2537" xml:space="preserve">ils ſoient illuminez par des <lb/>rayons plus obliques. </s> <s xml:id="echoid-s2538" xml:space="preserve">Et puis la terre <lb/>nſrs;</s> <s xml:id="echoid-s2539" xml:space="preserve">eſt pas parfaitement ronde, car elle <lb/>eſt rĕplie dſrs;</s> <s xml:id="echoid-s2540" xml:space="preserve">inegalités, qui arreſtent les <lb/>rayons, qui ſont ſeulement debilitez <lb/>par la quantité des vapeurs, qui ſont <pb o="169" file="00188" n="187" rhead="& Mathematiques."/> remplies de pluſieurs petits corps opa-<lb/>ques. </s> <s xml:id="echoid-s2541" xml:space="preserve">Neantmoins les autres main-<lb/>tiennent que le Soleil échauffe dauan-<lb/>tage à lſrs;</s> <s xml:id="echoid-s2542" xml:space="preserve">Eſté quſrs;</s> <s xml:id="echoid-s2543" xml:space="preserve">à lſrs;</s> <s xml:id="echoid-s2544" xml:space="preserve">Hyuer, à raiſon que <lb/>ſes rayons frappent la terre plus perpĕ-<lb/>diculairement, & </s> <s xml:id="echoid-s2545" xml:space="preserve">que les rayons refle-<lb/>chis ſe ioignans aux droits les redou-<lb/>blent, & </s> <s xml:id="echoid-s2546" xml:space="preserve">les renforcent; </s> <s xml:id="echoid-s2547" xml:space="preserve">ce qui eſt fort <lb/>probable, car encore que lſrs;</s> <s xml:id="echoid-s2548" xml:space="preserve">on puiſſe di-<lb/>re que lſrs;</s> <s xml:id="echoid-s2549" xml:space="preserve">atmoſphere eſt beaucoup plus <lb/>épaiſſe à lſrs;</s> <s xml:id="echoid-s2550" xml:space="preserve">Hyuer quſrs;</s> <s xml:id="echoid-s2551" xml:space="preserve">à lſrs;</s> <s xml:id="echoid-s2552" xml:space="preserve">Eſté neãt moins <lb/>ſi les rayons eſtoient auſſi perpendicu-<lb/>laires à lſrs;</s> <s xml:id="echoid-s2553" xml:space="preserve">Hyuer, ie croy quſrs;</s> <s xml:id="echoid-s2554" xml:space="preserve">il feroit auſ-<lb/>ſi chaud quſrs;</s> <s xml:id="echoid-s2555" xml:space="preserve">à lſrs;</s> <s xml:id="echoid-s2556" xml:space="preserve">Eſté, car lſrs;</s> <s xml:id="echoid-s2557" xml:space="preserve">cxperience <lb/>fait voir que les rayons bruſlent auſſi <lb/>bien, & </s> <s xml:id="echoid-s2558" xml:space="preserve">éclairent auſſi fort à trauers vn <lb/>chryſtal bien épais, quſrs;</s> <s xml:id="echoid-s2559" xml:space="preserve">à trauers celuy <lb/>qui eſt beaucoup plus mince.</s> <s xml:id="echoid-s2560" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2561" xml:space="preserve">Or lſrs;</s> <s xml:id="echoid-s2562" xml:space="preserve">on peut voir les 2. </s> <s xml:id="echoid-s2563" xml:space="preserve">lettres de Be-<lb/>nedictus a Raphaël dſrs;</s> <s xml:id="echoid-s2564" xml:space="preserve">Auria ſur ce ſu-<lb/>iet, où il explique la maniere de trou-<lb/>uer combien le rayon fait plus de che-<lb/>min par les vapeurs, lors quſrs;</s> <s xml:id="echoid-s2565" xml:space="preserve">il les pene-<lb/>tre obliquement, que quand il tombe <lb/>deſſus perpendiculairement. </s> <s xml:id="echoid-s2566" xml:space="preserve">Quant à <lb/>la moindrediſtãce quſrs;</s> <s xml:id="echoid-s2567" xml:space="preserve">a le Soleil à lſrs;</s> <s xml:id="echoid-s2568" xml:space="preserve">Hy-<lb/>uer, lſrs;</s> <s xml:id="echoid-s2569" xml:space="preserve">experience enſeigne quſrs;</s> <s xml:id="echoid-s2570" xml:space="preserve">elle nſrs;</s> <s xml:id="echoid-s2571" xml:space="preserve">eſt <lb/>pas ſuffiſ<unsure/>ante pour nous écli<unsure/>auffer, en- <pb o="170" file="00189" n="188" rhead="Queſtions Phyſiques,"/> core quſrs;</s> <s xml:id="echoid-s2572" xml:space="preserve">il ſoit plus proche de nous quſrs;</s> <s xml:id="echoid-s2573" xml:space="preserve">à <lb/>lſrs;</s> <s xml:id="echoid-s2574" xml:space="preserve">Eſté de 80. </s> <s xml:id="echoid-s2575" xml:space="preserve">demidiametres terreſtres. <lb/></s> <s xml:id="echoid-s2576" xml:space="preserve">A quoy lſrs;</s> <s xml:id="echoid-s2577" xml:space="preserve">on peut adiouſter quſrs;</s> <s xml:id="echoid-s2578" xml:space="preserve">il mon-<lb/>ſtre ſes 2. </s> <s xml:id="echoid-s2579" xml:space="preserve">hemiſpheres 13. </s> <s xml:id="echoid-s2580" xml:space="preserve">fois & </s> <s xml:id="echoid-s2581" xml:space="preserve">demie <lb/>chaque année, dſrs;</s> <s xml:id="echoid-s2582" xml:space="preserve">autant quſrs;</s> <s xml:id="echoid-s2583" xml:space="preserve">il fait ſon <lb/>tour en 27. </s> <s xml:id="echoid-s2584" xml:space="preserve">iours; </s> <s xml:id="echoid-s2585" xml:space="preserve">dſrs;</s> <s xml:id="echoid-s2586" xml:space="preserve">où il arriue de grãds <lb/>changemens, & </s> <s xml:id="echoid-s2587" xml:space="preserve">dſrs;</s> <s xml:id="echoid-s2588" xml:space="preserve">eſtranges alterations <lb/>dans la terre, car ſa ſurface eſt conti-<lb/>nuellemĕt alt erée par pluſieurs macu-<lb/>les, & </s> <s xml:id="echoid-s2589" xml:space="preserve">flambeaux, dont il v en a quel-<lb/>quefois 50. </s> <s xml:id="echoid-s2590" xml:space="preserve">ou 60. </s> <s xml:id="echoid-s2591" xml:space="preserve">& </s> <s xml:id="echoid-s2592" xml:space="preserve">pluſieurs taches <lb/>ſont auſſi groſſes que la Lune, comme <lb/>Schener a remarqué dans ſon Soleil.</s> <s xml:id="echoid-s2593" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div80" type="section" level="1" n="78"> <head xml:id="echoid-head120" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s2594" xml:space="preserve">Lſrs;</s> <s xml:id="echoid-s2595" xml:space="preserve">on peut dire quſrs;</s> <s xml:id="echoid-s2596" xml:space="preserve">ily a cinq raiſons <lb/>qui ſont cauſes quſrs;</s> <s xml:id="echoid-s2597" xml:space="preserve">il fait plus chaud à <lb/>lſrs;</s> <s xml:id="echoid-s2598" xml:space="preserve">Eſté quſrs;</s> <s xml:id="echoid-s2599" xml:space="preserve">à lſrs;</s> <s xml:id="echoid-s2600" xml:space="preserve">Hyuer: </s> <s xml:id="echoid-s2601" xml:space="preserve">dont la premiere <lb/>eſt que le Soleil demeure plus long-<lb/>temps ſur lſrs;</s> <s xml:id="echoid-s2602" xml:space="preserve">horizon; </s> <s xml:id="echoid-s2603" xml:space="preserve">la 2. </s> <s xml:id="echoid-s2604" xml:space="preserve">que ſes rayõs <lb/>reflcchis sſrs;</s> <s xml:id="echoid-s2605" xml:space="preserve">vniſſent dauantage auec ſes <lb/>rayons incidens: </s> <s xml:id="echoid-s2606" xml:space="preserve">la 3. </s> <s xml:id="echoid-s2607" xml:space="preserve">quſrs;</s> <s xml:id="echoid-s2608" xml:space="preserve">il y a moindre <lb/>reſiſtence des vapeurs, quiſont moins <lb/>épaiſles à lſrs;</s> <s xml:id="echoid-s2609" xml:space="preserve">Eſté: </s> <s xml:id="echoid-s2610" xml:space="preserve">la 4. </s> <s xml:id="echoid-s2611" xml:space="preserve">que la lumiere eſt <lb/>plus grande, parce que les rayons ſont <lb/>plus perpendiculaires, & </s> <s xml:id="echoid-s2612" xml:space="preserve">quſrs;</s> <s xml:id="echoid-s2613" xml:space="preserve">ils ſont ay-<lb/>dez par ceux de la Canicule, & </s> <s xml:id="echoid-s2614" xml:space="preserve">de quel- <pb o="171" file="00190" n="189" rhead="& Mathematiques."/> ques autt<unsure/>es grandes eſtoiles: </s> <s xml:id="echoid-s2615" xml:space="preserve">la 5. </s> <s xml:id="echoid-s2616" xml:space="preserve">parce <lb/>que la grande impreſſion de la chaleur <lb/>que le Soleil a engendrée les iours pre-<lb/>cedens dans la terre ſe ioint auec la <lb/>nouuelle chaleur quſrs;</s> <s xml:id="echoid-s2617" xml:space="preserve">il produit les au-<lb/>tres iours ſuiuans. </s> <s xml:id="echoid-s2618" xml:space="preserve">A quoy lſrs;</s> <s xml:id="echoid-s2619" xml:space="preserve">on peut ad-<lb/>iouter que la plus grãde multitude des <lb/>facules du Soleil ayde à engendrer les <lb/>plus grandes chaleurs.</s> <s xml:id="echoid-s2620" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div81" type="section" level="1" n="79"> <head xml:id="echoid-head121" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXVI.</head> <head xml:id="echoid-head122" style="it" xml:space="preserve">Comment les nuës peuuent-elles nager, ou ſe <lb/>pourmener dans lſrs;a@r ſans tomber, puis <lb/>quſrs;elles ſont ſi peſantes?</head> <p> <s xml:id="echoid-s2621" xml:space="preserve">PVis que les nuës ſe ſouſtiennent <lb/>dans lſrs;</s> <s xml:id="echoid-s2622" xml:space="preserve">air, il ſemble quſrs;</s> <s xml:id="echoid-s2623" xml:space="preserve">elles doi-<lb/>uent eſtre plus legeres puis que les cho-<lb/>ſes peſantes deſcendent au fond des <lb/>plus legeres, comme l<unsure/>ſrs;</s> <s xml:id="echoid-s2624" xml:space="preserve">ay dit dans vn <lb/>autre lieu, où iſrs;</s> <s xml:id="echoid-s2625" xml:space="preserve">ay expliqué les princi-<lb/>pes de la nauigation, & </s> <s xml:id="echoid-s2626" xml:space="preserve">de la ſubmer-<lb/>ſion. </s> <s xml:id="echoid-s2627" xml:space="preserve">Car elles ne monteroientiamais <lb/>plus haut que lſrs;</s> <s xml:id="echoid-s2628" xml:space="preserve">air, ſi elles nſrs;</s> <s xml:id="echoid-s2629" xml:space="preserve">eſtoient <lb/>plusrares, & </s> <s xml:id="echoid-s2630" xml:space="preserve">conſequemment plus le-<lb/>geres. </s> <s xml:id="echoid-s2631" xml:space="preserve">Or il nſrs;</s> <s xml:id="echoid-s2632" xml:space="preserve">importe nullemĕt quſrs;</s> <s xml:id="echoid-s2633" xml:space="preserve">el.</s> <s xml:id="echoid-s2634" xml:space="preserve"> <pb o="172" file="00191" n="190" rhead="Queſtions Phyſiques,"/> les ſoient plus opaques & </s> <s xml:id="echoid-s2635" xml:space="preserve">renebreuſes <lb/>que lſrs;</s> <s xml:id="echoid-s2636" xml:space="preserve">air, dſrs;</s> <s xml:id="echoid-s2637" xml:space="preserve">autant que la rareté & </s> <s xml:id="echoid-s2638" xml:space="preserve">lſrs;</s> <s xml:id="echoid-s2639" xml:space="preserve">o-<lb/>pacité conuiennent auſſi ayſément en-<lb/>ſemble, que la denſité & </s> <s xml:id="echoid-s2640" xml:space="preserve">la perſpicui-<lb/>té, qui rend les corps diaphanes. </s> <s xml:id="echoid-s2641" xml:space="preserve">Et par-<lb/>ce que les nuës ont plus de parties opa-<lb/>ques que lſrs;</s> <s xml:id="echoid-s2642" xml:space="preserve">air, elles ſerateſient dauan-<lb/>tage par les rayons du Soleil, qui nſrs;</s> <s xml:id="echoid-s2643" xml:space="preserve">e-<lb/>chauffent guere les corps parfaictemĕt <lb/>diaphanes, à raiſon quſrs;</s> <s xml:id="echoid-s2644" xml:space="preserve">ils penetrent à <lb/>trauers, ſans aucune reflexion & </s> <s xml:id="echoid-s2645" xml:space="preserve">ſans <lb/>empeſchément. </s> <s xml:id="echoid-s2646" xml:space="preserve">Mais lors que les nuës <lb/>rencontrent des parties de lſrs;</s> <s xml:id="echoid-s2647" xml:space="preserve">air plus ra-<lb/>res, elles ne paſſent pas outre, & </s> <s xml:id="echoid-s2648" xml:space="preserve">de-<lb/>meurent ſuſpenduës iuſques à ce quſrs;</s> <s xml:id="echoid-s2649" xml:space="preserve">el-<lb/>les ſereſoluent en pluye, en neige, ou <lb/>en greſle, & </s> <s xml:id="echoid-s2650" xml:space="preserve">quſrs;</s> <s xml:id="echoid-s2651" xml:space="preserve">elles deuiennent plus <lb/>peſantes que lſrs;</s> <s xml:id="echoid-s2652" xml:space="preserve">air, qui a des differents <lb/>degrez de rareté, & </s> <s xml:id="echoid-s2653" xml:space="preserve">de peſanteur, ſoit <lb/>de ſoy-meſme, ou par le mélange des <lb/>vapeurs; </s> <s xml:id="echoid-s2654" xml:space="preserve">dont il arriue que de pluſieurs <lb/>nuës, les vnes montent plus haut que <lb/>les autres, & </s> <s xml:id="echoid-s2655" xml:space="preserve">quſrs;</s> <s xml:id="echoid-s2656" xml:space="preserve">il eſt treſ-difficile de <lb/>ſçauoir iuſques où elles peuuent mon-<lb/>ter, ſi lſrs;</s> <s xml:id="echoid-s2657" xml:space="preserve">on ne ſçait tous les degrez de la <lb/>rareté de lſrs;</s> <s xml:id="echoid-s2658" xml:space="preserve">air, & </s> <s xml:id="echoid-s2659" xml:space="preserve">tous ceux que la cha-<lb/>ieur peut donner aux nuës, qui paroi-<lb/>ftroient à lſrs;</s> <s xml:id="echoid-s2660" xml:space="preserve">œil mis dans la Lune, com- <pb o="173" file="00192" n="191" rhead="& Mathematiques."/> me les macules du Soleil.</s> <s xml:id="echoid-s2661" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2662" xml:space="preserve">Il faut encore remarquer que le vent <lb/>meut a@ſ@ment les nuës, parce qu’elles <lb/>ne luy fo@ @ quaſi nulle reſiſtence: </s> <s xml:id="echoid-s2663" xml:space="preserve">& </s> <s xml:id="echoid-s2664" xml:space="preserve"><lb/>qu’il eſt neceſſaire qu’il ſe cõdenſe au-<lb/>tant d’air, comme elles eu occupent, <lb/>puis que les loix de l’vniuers ne pouuãt <lb/>permettre le vuide ni la penetratiõ des <lb/>corps, ne permettent auſſi iamais de ra-<lb/>refaction, qu’elles ne luy oppofent la <lb/>condenſation, afin de faire ſubſiſter la <lb/>nature par vn perpetuel équilibre, qui <lb/>ne perd rien d’vn coſté qu’il ne le gai-<lb/>gne de l’autre, & </s> <s xml:id="echoid-s2665" xml:space="preserve">qui ſert à expliquer <lb/>vne infinité de difficultez dans la Phy-<lb/>ſique. </s> <s xml:id="echoid-s2666" xml:space="preserve">Quant à la fumée, l’on peut dire <lb/>qu’elle eſt vne eſpece de nuë; </s> <s xml:id="echoid-s2667" xml:space="preserve">mais il ne <lb/>faut pas s’imaginer qu’elle ſe change, <lb/>car elle retombe à terre auſſi toſt qu’el-<lb/>le deuient plus denſe, & </s> <s xml:id="echoid-s2668" xml:space="preserve">plus peſante <lb/>que luy: </s> <s xml:id="echoid-s2669" xml:space="preserve">ſi ce n’eſt que l’on compoſe <lb/>noſtre air de toutes les vapeurs, & </s> <s xml:id="echoid-s2670" xml:space="preserve">fu-<lb/>mées, qui ſ exhalent de la terre & </s> <s xml:id="echoid-s2671" xml:space="preserve">de <lb/>tous ſes mixtes & </s> <s xml:id="echoid-s2672" xml:space="preserve">indiuidus. </s> <s xml:id="echoid-s2673" xml:space="preserve">Neant-<lb/>moins l’on peut dire que les nuës ne <lb/>tombent pas ſi toſt qu’elles ſont plus <lb/>peſantes, & </s> <s xml:id="echoid-s2674" xml:space="preserve">plus denſes que l’air, puis <lb/>que l’on experimente qu’vne fueille<unsure/> <pb o="174" file="00193" n="192" rhead="Queſtions Phyſiques,"/> d’or, ou d’argent miſe ſur l’eau, ou en-<lb/>foncée dedãs ne va pas au fond, & </s> <s xml:id="echoid-s2675" xml:space="preserve">con-<lb/>tinuë ſa nauigation, encore qu’elle ſoit <lb/>beaucoup plus peſante, parce qu’elle <lb/>n’a pas aſſez de force pour diuiſer l’eau, <lb/>& </s> <s xml:id="echoid-s2676" xml:space="preserve">pour la faire fuir de deuant ſoy, pour <lb/>aller au fond: </s> <s xml:id="echoid-s2677" xml:space="preserve">ce qui eſt grandement <lb/>conſiderable pour l hydraulique; </s> <s xml:id="echoid-s2678" xml:space="preserve">quoy <lb/>que l’on puiſſe dire que cet enfonce-<lb/>mĕ ſoit empeſché par des petites par-<lb/>ticules d’air, qui ſont dans les pores de <lb/>ces fueilles.</s> <s xml:id="echoid-s2679" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div82" type="section" level="1" n="80"> <head xml:id="echoid-head123" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXVII.</head> <head xml:id="echoid-head124" style="it" xml:space="preserve">Qhelle raiſon peut on auoir pour croire que <lb/>la terre ſe meut au tour du Soleil, que l’on <lb/>met au centre du monde?</head> <p> <s xml:id="echoid-s2680" xml:space="preserve">ENcore que i’aye parlé du mouue-<lb/>ment j<unsure/>ournalier de la terre dans la <lb/>34 queſtion, & </s> <s xml:id="echoid-s2681" xml:space="preserve">que l’on puiſſe s’imagi <lb/>ner que la cauſe, pour laquelle elle ſe <lb/>tient dãs ſon lieu ſans aller déça ny de-<lb/>là, ſe doit prendre de ce mouuement, <lb/>comme il arriue que les pierres qui <lb/>cournent ſi viſte dans l’air, qu’elles <pb o="175" file="00194" n="193" rhead="& Mathematiques."/> ne peuuent tomber, & </s> <s xml:id="echoid-s2682" xml:space="preserve">que les verres, <lb/>& </s> <s xml:id="echoid-s2683" xml:space="preserve">les autres vaiſſeaux, qui ſont pleins <lb/>de vin, ou de quelqu’autre liqueur, ne <lb/>l’épanchent pas, lors qu’õ les fait tour-<lb/>ner aſſez viſte, neantmoins il faut con-<lb/>ſiderer ſon autre mouuement, que l’on <lb/>appelle annuel, par lequel l’on s’imagine <lb/>dans l’échole d’Ariſtarque, qu’elle ſup-<lb/>plée le mouuement du Soleil; </s> <s xml:id="echoid-s2684" xml:space="preserve">dont <lb/>i’expliqueicy les raiſons.</s> <s xml:id="echoid-s2685" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2686" xml:space="preserve">La premiere ſe tire de ce que Mars <lb/>eſt quelquefois deſſus, & </s> <s xml:id="echoid-s2687" xml:space="preserve">d’autresfois <lb/>deſſouz le Soleil, ce qui ne peut arriuer <lb/>ſans eſtablir vn épicycle d’vne eſtrange <lb/>grandeur, ſi la terre ne ſe meut pas au <lb/>tour du Soleil: </s> <s xml:id="echoid-s2688" xml:space="preserve">or le mouuement an-<lb/>nuel de la terre abolit ces epicycles. </s> <s xml:id="echoid-s2689" xml:space="preserve">La <lb/>2. </s> <s xml:id="echoid-s2690" xml:space="preserve">raiſon eſt fondée ſur ce qu’il eſt plus à <lb/>propos que le Soleil ſoit au milieu du <lb/>monde pour departir égallement ſa lu-<lb/>miere à tout l’vniuers. </s> <s xml:id="echoid-s2691" xml:space="preserve">Ie laiſſe les au-<lb/>tres raiſons, parce que l’on peut les lire <lb/>dans Lanſberge, & </s> <s xml:id="echoid-s2692" xml:space="preserve">dans Kepler, afin <lb/>d’adiouter ſeulernent que l’on n’a don-<lb/>né iuſques icy nulle raiſon, qui demon-<lb/>ſtre que le Soleil ſoit au centre du mõ-<lb/>de, ou que la terretourne au lieu du <lb/>Soleil & </s> <s xml:id="echoid-s2693" xml:space="preserve">conſequemment qu’il eſt auſ- <pb o="176" file="00195" n="194" rhead="Queſtions Phyſiques,"/> ſi à propos d embraſſer les hypotheſes <lb/>de Tycho & </s> <s xml:id="echoid-s2694" xml:space="preserve">des autres qui ſauuent <lb/>tous les phenom@@es ſans le mouue-<lb/>ment terreſtre annuel, que de ſuiure <lb/>celles d Ariſtarque; </s> <s xml:id="echoid-s2695" xml:space="preserve">quoy qu il ſoit li-<lb/>bre à vn chacun de ſe ſeruir de telle <lb/>hypotheſe qu’i<unsure/>l voudra pour expliquer <lb/>les apparences du Ciel, & </s> <s xml:id="echoid-s2696" xml:space="preserve">pour le cal-<lb/>cul: </s> <s xml:id="echoid-s2697" xml:space="preserve">& </s> <s xml:id="echoid-s2698" xml:space="preserve">peut eſtre que quelques-vns <lb/>nous donneront bien-toſt d’autres hy-<lb/>poteſes differentes de toutes celles qui <lb/>ont eſté ptopoſées iuſques à preſent, qui <lb/>ſeront auſſi ſimples, & </s> <s xml:id="echoid-s2699" xml:space="preserve">auſſi aiſées à cõ-<lb/>prendre que celles de Copernic, & </s> <s xml:id="echoid-s2700" xml:space="preserve">qui <lb/>pourront eſtre plus veritables. </s> <s xml:id="echoid-s2701" xml:space="preserve">A quoy <lb/>l’Harmonicon de Viete peut apporter <lb/>de la lumiere, pourueu que l’on ne la <lb/>luy reſuſe pas, comme l’õ a fait iuſques <lb/>à preſent. </s> <s xml:id="echoid-s2702" xml:space="preserve">Or cette difficulté peut ſer-<lb/>uir à nous faire faire des reflexions ſur <lb/>les principes de<gap/>tres ſciences, qui ne <lb/>ſont que des hy<gap/>neſes, leſquelles ne <lb/>ſont peut-eſtre pas plus veritables que <lb/>celles de l’A ſtronomie, car elles ne <lb/>nous ſont pas plus euidentes.</s> <s xml:id="echoid-s2703" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div83" type="section" level="1" n="81"> <head xml:id="echoid-head125" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s2704" xml:space="preserve">L’on peut rcmarquer la meſme choſe <pb o="177" file="00196" n="195" rhead="& Mathematiques."/> dans cette queſtion que celle dont i’ay <lb/>parlé dans le 2. </s> <s xml:id="echoid-s2705" xml:space="preserve">Corollaire de la 34. </s> <s xml:id="echoid-s2706" xml:space="preserve">à <lb/>fçanoir que l’on peuttouſiours s’imagi-<lb/>ner de nouuelles raiſons pout fauoriſer <lb/>le mouuemĕt anhuel de la terre au tour <lb/>du Soleil: </s> <s xml:id="echoid-s2707" xml:space="preserve">pat exemple, que ſi le Soleil <lb/>n’eſtoit le centre de l’vniuers, & </s> <s xml:id="echoid-s2708" xml:space="preserve">de la <lb/>terre, que nous verrions touſiours la <lb/>Lune illuminée, d’autant que la lumie-<lb/>re du Solei<unsure/>l ne ſc perdant point, & </s> <s xml:id="echoid-s2709" xml:space="preserve">ren-<lb/>contrant la derniere ſurface du monde, <lb/>ſe reflechiroit tellement ſur la Lune, <lb/>qu’elle l’illumineroit toujoürs, meſmes <lb/>à noſtre égard, ſuppoſé que le monde <lb/>ſoit finy; </s> <s xml:id="echoid-s2710" xml:space="preserve">car encore que l’on s’imagi-<lb/>naſt le vuide apres les eſtoiles, il ſerui-<lb/>roit d’vn parfait miroir pour renuoyer <lb/>tous les rayoris du Soleil, commeil eſt <lb/>ayſé de dcmonſtrer par les loix, & </s> <s xml:id="echoid-s2711" xml:space="preserve">les <lb/>regles in flexibles de la Catoptrique. </s> <s xml:id="echoid-s2712" xml:space="preserve">Et <lb/>ſi l’on replique que la detniere ſurface <lb/>du monde n’eſt pas polie, il s’enſuit <lb/>qu’elle ſera veuë, comme il arriue aux <lb/>autres corps brutes. </s> <s xml:id="echoid-s2713" xml:space="preserve">Mais outre que <lb/>nous ne ſçauons pas ſi le monde eſt infi-<lb/>ny, puis que pluſieurs Theologiĕs eſti-<lb/>ment que Di<unsure/>eu eſtant tout puiſſ@nt la <lb/>peu fairc infiny en eſtenduë, & </s> <s xml:id="echoid-s2714" xml:space="preserve">qu’ils<unsure/> <pb o="178" file="00197" n="196" rhead="Queſtions Phyſiques,"/> eſtabliſſent des eſpacesimaginaires in-<lb/>finis, qu’ils appellent reels, & </s> <s xml:id="echoid-s2715" xml:space="preserve">que le <lb/>Createur de la grande eſtĕduë de l’air, <lb/>qui s’apelle Rachia dãs la ſai<unsure/>nte langue, <lb/>ne nous a pas rewelé s’il la creée finie, ou <lb/>infinie, la ran<unsure/>on precedente n’a pas la <lb/>force d’vne demonſtration.</s> <s xml:id="echoid-s2716" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div84" type="section" level="1" n="82"> <head xml:id="echoid-head126" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXVIII.</head> <head xml:id="echoid-head127" style="it" xml:space="preserve">Les principes, & les fondemens de l’Optique <lb/>ſont-ils plus certains que ceux de <lb/>la Muſique?</head> <p> <s xml:id="echoid-s2717" xml:space="preserve">CEs deux parties de Mathemati-<lb/>que n’ont pas la pureté, niconſe-<lb/>quemment la cerritude de la Geome-<lb/>trie, dautant qu’elles ſuppoſent la Phy-<lb/>ſique, car encore que les principes de <lb/>la nature fuſſent auſſi euidens & </s> <s xml:id="echoid-s2718" xml:space="preserve">auſſi <lb/>certains en eux meſmes que ceux de <lb/>l’Arithrnetique, neantmoins ils n’ont <lb/>pas ce degré de certitudeànoſtre égard, <lb/>comme auoüent tous ceux qui ſçauent <lb/>l’art de la raiſon, & </s> <s xml:id="echoid-s2719" xml:space="preserve">qui ſe plaignent de <lb/>ne pouuoir trouuer des principes de <lb/>connoiſſance dans la Phyſique, qui n’a <pb o="179" file="00198" n="197" rhead="& Mathematiques."/> quaſi nulle certitude en comparaiſon <lb/>de celle des pures Mathematiques, cõ-<lb/>me il eſt aiſé de conclure par les diffe-<lb/>rentes opinions des Philoſophes, qui <lb/>ne s’accordent iamais ſi parfaitement <lb/>ſur vn meſme ſujet, que l’on n’y recon-<lb/>noiſſe de la matiere, & </s> <s xml:id="echoid-s2720" xml:space="preserve">des occaſions <lb/>de douter.</s> <s xml:id="echoid-s2721" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2722" xml:space="preserve">Mais afin de comparer la certitude <lb/>de l’Optique auec celle de la Muſique, <lb/>ie dy premierement qu’elles n’ont tou-<lb/>tes deux nuls principes ſi clairs, & </s> <s xml:id="echoid-s2723" xml:space="preserve">ſi <lb/>certains que l’on n’en puiſſe douter, tãt <lb/>parce qu elles preſuppoſent les ſens, & </s> <s xml:id="echoid-s2724" xml:space="preserve"><lb/>leurs operations, dont la maniere nous <lb/>eſtincõnuë, que parce qu’elles meſlent <lb/>touſiours la Phyſique dans leurs raiſon-<lb/>nemens, la quelle ne nous donne pas les <lb/>principes de connoiſſance, ou d’effet.</s> <s xml:id="echoid-s2725" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2726" xml:space="preserve">Neantmoins ſi l’on fait comparaiſon <lb/>de la certitude de ces deux Arts, il ſem-<lb/>ble que celle de l’Optique eſt plus grã-<lb/>de, ou pour mieux dire, que ſes princi-<lb/>pes ſont moins douteux, & </s> <s xml:id="echoid-s2727" xml:space="preserve">incertains, <lb/>ce qui n’arriue pas à raiſon qu elle eſt <lb/>ſubalterne à la Geometrie, & </s> <s xml:id="echoid-s2728" xml:space="preserve">que la <lb/>Muſique eſt ſubalterne à l’ A rithmcti-<lb/>que, car ces ſubalternations n’appor- <pb o="180" file="00199" n="198" rhead="Queſtions Phyſiques,"/> tent rien aux ſciences ſubalternées, qui <lb/>doiuent auoir des principes propres & </s> <s xml:id="echoid-s2729" xml:space="preserve"><lb/>particuliers, qui ſoient auſſi certains & </s> <s xml:id="echoid-s2730" xml:space="preserve"><lb/>euidens, que celles que l’on appelle ſu-<lb/>balternantes. </s> <s xml:id="echoid-s2731" xml:space="preserve">Et peut eſtre que cette <lb/>ſubalternation n’a pas encore eſté b@en <lb/>entenduë, & </s> <s xml:id="echoid-s2732" xml:space="preserve">qu’il ſeroit plus expedient <lb/>de dire que la Geometr@e, & </s> <s xml:id="echoid-s2733" xml:space="preserve">l’ A rith-<lb/>metique ſont les regles generales, qui <lb/>ſcruent pour dreſſer les demonſtratiõs, <lb/>& </s> <s xml:id="echoid-s2734" xml:space="preserve">pour tirer toutes les conc<unsure/>luſions des <lb/>autres ſciences, lors que l’on en donne <lb/>les vrays principes: </s> <s xml:id="echoid-s2735" xml:space="preserve">car encore que l’on <lb/>attribue cet office à la Logique, neant-<lb/>moins l’on peut dire qu’elle emprunte <lb/>de la Geometrie tout ce qu’elle a de <lb/>plus ferme, & </s> <s xml:id="echoid-s2736" xml:space="preserve">de plus aſſeuré.</s> <s xml:id="echoid-s2737" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2738" xml:space="preserve">Mais voyons quelques principes de <lb/>ces deux ſciences, (ſi tant eſt qu’elles <lb/>meritent ce nom, que l’on ne donne, à <lb/>proprement parler, qu’à la Geometrie, <lb/>& </s> <s xml:id="echoid-s2739" xml:space="preserve">à l’Arithmetique) aſin de conſeruer <lb/>leurs certitudes. </s> <s xml:id="echoid-s2740" xml:space="preserve">L’vn des principes de <lb/>l’Optique eſt, que tout ce qui ſe void, <lb/>paroiſt ſouz vn angle; </s> <s xml:id="echoid-s2741" xml:space="preserve">& </s> <s xml:id="echoid-s2742" xml:space="preserve">que ce qui ſe <lb/>void ſouz vn plus grand angle, paroiſt <lb/>plus grand; </s> <s xml:id="echoid-s2743" xml:space="preserve">& </s> <s xml:id="echoid-s2744" xml:space="preserve">l’vn de ceux de la Muſi-<lb/>que eſt, que l’Octaue eſt de 2. </s> <s xml:id="echoid-s2745" xml:space="preserve">à i<unsure/>. </s> <s xml:id="echoid-s2746" xml:space="preserve">& </s> <s xml:id="echoid-s2747" xml:space="preserve">la <pb o="181" file="00200" n="199" rhead="& Mathematiques."/> Quinte de 3 à 2. </s> <s xml:id="echoid-s2748" xml:space="preserve">& </s> <s xml:id="echoid-s2749" xml:space="preserve">que les conſonan-<lb/>ces ſont agreables, & </s> <s xml:id="echoid-s2750" xml:space="preserve">les diſſonances <lb/>deſ-agreables. </s> <s xml:id="echoid-s2751" xml:space="preserve">Or l’on peut douter ſi <lb/>la viſion ſe doit regler ſuiuãt les angles, <lb/>ou pluſtoſt ſelon la maniere que la ra-<lb/>diatiõde la lumiere affecte les tuniques, <lb/>& </s> <s xml:id="echoid-s2752" xml:space="preserve">les humeurs de l’œil, & </s> <s xml:id="echoid-s2753" xml:space="preserve">particuliere-<lb/>ment l’aranee ou la R etine, dãs la quel-<lb/>le le cone de la pyramide Optique <lb/>n’eſt pas tel que l’on ſe l’imagine pour <lb/>l’ordinaire, comme l’on monſtre dans<unsure/> <lb/>la vraye Optique: </s> <s xml:id="echoid-s2754" xml:space="preserve">& </s> <s xml:id="echoid-s2755" xml:space="preserve">pluſieurs croyent <lb/>que l’ob@ect paroiſt d’autant plus grand <lb/>qu il eſt veu par vne plus grande quan-<lb/>tité de rayõs, encore qu’ils ſoient com-<lb/>pris par vn moindre angle.</s> <s xml:id="echoid-s2756" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2757" xml:space="preserve">Quant aux conſonances, il y en a qui <lb/>les nient, & </s> <s xml:id="echoid-s2758" xml:space="preserve">qui maintiennent que les <lb/>diſſonances peuuent donner plus de ſa-<lb/>tisfactiõ à de certaines oreilles que leſ-<lb/>dites conſonances, Et puis tous ne con-<lb/>feſſent pas que l Octaue ſoit de 2. </s> <s xml:id="echoid-s2759" xml:space="preserve">à @. </s> <s xml:id="echoid-s2760" xml:space="preserve">& </s> <s xml:id="echoid-s2761" xml:space="preserve"><lb/>la Quinte de 3. </s> <s xml:id="echoid-s2762" xml:space="preserve">à 2. </s> <s xml:id="echoid-s2763" xml:space="preserve">tant parce qu’elles <lb/>paroi<unsure/>ſſent bõnes ſouz d’autres termes, <lb/>& </s> <s xml:id="echoid-s2764" xml:space="preserve">que leurs raisõs ſont peut eſtre ſour<unsure/>-<lb/>des, ineffables, & </s> <s xml:id="echoid-s2765" xml:space="preserve">irrationnelles, que <lb/>parce qu’il ne<unsure/> s’enſuit pas que les ſon@ <lb/>ayent meſme raiſon entr’eux que leſ- <pb o="182" file="00201" n="200" rhead="Queſtions Phyſiques,"/> dites cordes, puis qu’en bonne Logi-<lb/>que, il n’eſt pas permis de paſſer d’vn <lb/>genre à l’autre ſans enfraindre la loy <lb/>des Homogenes.</s> <s xml:id="echoid-s2766" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2767" xml:space="preserve">A quoy l’on peut adjouſter que tout <lb/>ce qui depend de l’œil & </s> <s xml:id="echoid-s2768" xml:space="preserve">de l’oreille ne <lb/>peut eſtre plus certain que leurs opera-<lb/>tions, qui ſont ſuiettes à pluſieurs trõ-<lb/>peries, & </s> <s xml:id="echoid-s2769" xml:space="preserve">illuſions: </s> <s xml:id="echoid-s2770" xml:space="preserve">de ſorte que l’on <lb/>peut conclurre que la ſcience, qui ap-<lb/>partient au ſens, dont l’action eſt plus <lb/>certaine, a ſemblablement plus de cer-<lb/>titude.</s> <s xml:id="echoid-s2771" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2772" xml:space="preserve">Or ie ne veux pas maintenant decider <lb/>ſi l’oreille eſt plus certai<unsure/>ne que l’œil, <lb/>d’autant que ie fais vn traité de l’excel-<lb/>lence de l’vn & </s> <s xml:id="echoid-s2773" xml:space="preserve">de l’autre dans vn autre <lb/>en droit, où i’explique les manieres de <lb/>tromper, & </s> <s xml:id="echoid-s2774" xml:space="preserve">de deſabuſer ces deux ſens, <lb/>qui ſont deſtinez aux arts & </s> <s xml:id="echoid-s2775" xml:space="preserve">aux ſcien-<lb/>ces. </s> <s xml:id="echoid-s2776" xml:space="preserve">Et ſi l’on prend leur certitude de <lb/>celles dont on les fait ſubalternes, elles <lb/>auront vn pareil degré de certitude, <lb/>parce que l’Arithmetique, d’où l’on fait <lb/>naiſtre la Muſique, eſt auſſi certaine <lb/>que la Geometrie, dont on tire l’Opti-<lb/>que: </s> <s xml:id="echoid-s2777" xml:space="preserve">quoy qu’il ſemble que l’Optique <lb/>ſoit plus generale, & </s> <s xml:id="echoid-s2778" xml:space="preserve">plus proche de la <pb o="183" file="00202" n="201" rhead="& Mäthematiques."/> demõſtration, àraiſon qu’elle n’eſt pas <lb/>ſuiette aux mouuemens de l’air, qui <lb/>ſeruent de ſuiet, & </s> <s xml:id="echoid-s2779" xml:space="preserve">d’object à la Muſi-<lb/>que, & </s> <s xml:id="echoid-s2780" xml:space="preserve">qu’elle embraſſe toutes ſortes <lb/>de reflexions & </s> <s xml:id="echoid-s2781" xml:space="preserve">de refractions, qui ſe <lb/>font dans vn moment, lequel approche <lb/>de la durée des operations de l’eſprit.</s> <s xml:id="echoid-s2782" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div85" type="section" level="1" n="83"> <head xml:id="echoid-head128" xml:space="preserve"><emph style="sc">Qvestion</emph> XXXIX.</head> <head xml:id="echoid-head129" style="it" xml:space="preserve">De quelles matieres ſe ſeruent les Teintu-<lb/>riers pour teindre la laine, ou le <lb/>drap, & La ſoye de toutes <lb/>ſortes de coubeurs ¿</head> <p> <s xml:id="echoid-s2783" xml:space="preserve">SI les artiſans aymoient les ſciences, <lb/>ils pourroient aider les Philoſophes <lb/>en pluſicurs manieres, & </s> <s xml:id="echoid-s2784" xml:space="preserve">patticuliere-<lb/>ment en leur donnant pluſieurs expe-<lb/>riences, qu’ils font ordinairement, & </s> <s xml:id="echoid-s2785" xml:space="preserve"><lb/>pluſieurs obſeruatiõs qui peuuent don-<lb/>ner de l’entrée aux difficultez de la <lb/>Phyſique, & </s> <s xml:id="echoid-s2786" xml:space="preserve">à leur ſolution. </s> <s xml:id="echoid-s2787" xml:space="preserve">Or encore <lb/>que les Orfeures, les Lapidaires, les <lb/>Affincurs, les Chymiſtes, les Apoti-<lb/>quaires, les Tireurs d’or, & </s> <s xml:id="echoid-s2788" xml:space="preserve">tous ceux <lb/>qui manient les metaux, puiſſent, ce <pb o="184" file="00203" n="202" rhead="Queſtions Phyſiques,"/> ſemble, donner plus de lumiere ſur cę <lb/>ſuiet que les Peintres, les Sçulpteurs, <lb/>les Teinturiers, & </s> <s xml:id="echoid-s2789" xml:space="preserve">les autres arti-<lb/>ſans, neantmoins il n’y a nulatt, ou me. <lb/></s> <s xml:id="echoid-s2790" xml:space="preserve">ſtier qui ne puiſſe ſeruir en quelque <lb/>choſe: </s> <s xml:id="echoid-s2791" xml:space="preserve">par exemple, la conſideration <lb/>des drogues, des bois, des racines, des <lb/>écorces, des herbes, & </s> <s xml:id="echoid-s2792" xml:space="preserve">des autres ingre-<lb/>diens, dont vſent les Teinturiers en lai-<lb/>ne & </s> <s xml:id="echoid-s2793" xml:space="preserve">en ſoye, peuuent ayder à com-<lb/>prendre la nature, & </s> <s xml:id="echoid-s2794" xml:space="preserve">les proprietez des <lb/>ceuleurs, qu’ils donnent aux draps par <lb/>le moyen des breſils de Farnambour; </s> <s xml:id="echoid-s2795" xml:space="preserve">de <lb/>Laual, de ſainte Maric, & </s> <s xml:id="echoid-s2796" xml:space="preserve">de S. </s> <s xml:id="echoid-s2797" xml:space="preserve">Mar-<lb/>the, dont le premter eſt le meilleur.</s> <s xml:id="echoid-s2798" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2799" xml:space="preserve">Ils vſent auſſi du bois d’Inde, qu’ils <lb/>appellent Compeche, du fuſtel de Sa-<lb/>uoye, de Dauphiné, & </s> <s xml:id="echoid-s2800" xml:space="preserve">de Roüen: </s> <s xml:id="echoid-s2801" xml:space="preserve">du <lb/>bois iaune; </s> <s xml:id="echoid-s2802" xml:space="preserve">de l’écorce de cheſneaux en <lb/>taillis, & </s> <s xml:id="echoid-s2803" xml:space="preserve">de pluſieurs autres bois, com-<lb/>me des racines de noyer, de l’écorce, & </s> <s xml:id="echoid-s2804" xml:space="preserve"><lb/>des coquilles des noix vertes: </s> <s xml:id="echoid-s2805" xml:space="preserve">des Gau-<lb/>des franches & </s> <s xml:id="echoid-s2806" xml:space="preserve">baſtardes: </s> <s xml:id="echoid-s2807" xml:space="preserve">de geneſtrol-<lb/>les, ou geneſtron, de ſoumac, de galles <lb/>vertes, & </s> <s xml:id="echoid-s2808" xml:space="preserve">ſeiches de Tours: </s> <s xml:id="echoid-s2809" xml:space="preserve">d’aluns de <lb/>Rome, & </s> <s xml:id="echoid-s2810" xml:space="preserve">de roche; </s> <s xml:id="echoid-s2811" xml:space="preserve">de couperozes; </s> <s xml:id="echoid-s2812" xml:space="preserve">de <lb/>gommes, tant de Perſe, que d’Arabie, <lb/>de Venize & </s> <s xml:id="echoid-s2813" xml:space="preserve">d’ailleurs: </s> <s xml:id="echoid-s2814" xml:space="preserve">du ſauon de <pb o="185" file="00204" n="203" rhead="& Mathematiques."/> Genes, de Caſtres, & </s> <s xml:id="echoid-s2815" xml:space="preserve">de celuy qui eſt <lb/>noir, & </s> <s xml:id="echoid-s2816" xml:space="preserve">liquide: </s> <s xml:id="echoid-s2817" xml:space="preserve">d’orſeille de Lyon, de <lb/>Flandre, d’Angleterre & </s> <s xml:id="echoid-s2818" xml:space="preserve">d’ailleurs: </s> <s xml:id="echoid-s2819" xml:space="preserve">de <lb/>cendres communes, & </s> <s xml:id="echoid-s2820" xml:space="preserve">de grauelée: </s> <s xml:id="echoid-s2821" xml:space="preserve">de <lb/>ſoude d’alitarbe, & </s> <s xml:id="echoid-s2822" xml:space="preserve">de la blanche, de la <lb/>potacée: </s> <s xml:id="echoid-s2823" xml:space="preserve">de la chaux communc: </s> <s xml:id="echoid-s2824" xml:space="preserve">de la <lb/>garence de Flandre, & </s> <s xml:id="echoid-s2825" xml:space="preserve">d’Angleterre, <lb/>de la cochenille: </s> <s xml:id="echoid-s2826" xml:space="preserve">de la graine d’écarla-<lb/>te, & </s> <s xml:id="echoid-s2827" xml:space="preserve">de ſon paſtel: </s> <s xml:id="echoid-s2828" xml:space="preserve">de la graine d’Aui-<lb/>gnon: </s> <s xml:id="echoid-s2829" xml:space="preserve">du tartre de Montpelier: </s> <s xml:id="echoid-s2830" xml:space="preserve">du ſaf-<lb/>fran d’Allemagne: </s> <s xml:id="echoid-s2831" xml:space="preserve">de la bourre de Flá-<lb/>dre, d’Angleterre, & </s> <s xml:id="echoid-s2832" xml:space="preserve">de Paris: </s> <s xml:id="echoid-s2833" xml:space="preserve">d’écor-<lb/>ces de grenades auec leur fruict ſec: </s> <s xml:id="echoid-s2834" xml:space="preserve">de <lb/>la limaille de fer, & </s> <s xml:id="echoid-s2835" xml:space="preserve">d’acier: </s> <s xml:id="echoid-s2836" xml:space="preserve">de la terre <lb/>qu’ils appellent Terra merita, & </s> <s xml:id="echoid-s2837" xml:space="preserve">de plu-<lb/>ſieuts autres drogues, dont i’explique-<lb/>rois icy les couleurs, le prix, le poids, & </s> <s xml:id="echoid-s2838" xml:space="preserve"><lb/>les mélanges, ſi ie ne iugeois qu’il eſt <lb/>neceſſaire d’en voir l’eſſay, & </s> <s xml:id="echoid-s2839" xml:space="preserve">l’expe-<lb/>rience chez les Teinturiers, pour les <lb/>comprendre aiſément.</s> <s xml:id="echoid-s2840" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2841" xml:space="preserve">Quant aux couleuts des Peintres, des <lb/>Enlumineurs, & </s> <s xml:id="echoid-s2842" xml:space="preserve">des Miniateurs, elles <lb/>meritent vn diſcours particulier, auſſi <lb/>bien que celles dont vſent les Verriers, <lb/>les Emailleurs, les Vitriers, & </s> <s xml:id="echoid-s2843" xml:space="preserve">les Po-<lb/>tiers, qui employent l’argent, l’eſtain, <lb/>le plomb, le cuiure, & </s> <s xml:id="echoid-s2844" xml:space="preserve">les autres me- <pb o="186" file="00205" n="204" rhead="Queſtions Phyſiques,"/> taux, & </s> <s xml:id="echoid-s2845" xml:space="preserve">les mineraux pour colorer leurs <lb/>ouurages; </s> <s xml:id="echoid-s2846" xml:space="preserve">c’eſt pourquoy i’adiouſte <lb/>ſeulement icy que les Chymiſtes de-<lb/>uroient s’eſtudier à la recherche des <lb/>raiſons de la grande multitude de cou-<lb/>leurs, qui ſe font dans les. </s> <s xml:id="echoid-s2847" xml:space="preserve">differents de-<lb/>grez de la coction, de la generation, ou <lb/>de la corruption des matieres qu’ils en-<lb/>ferment dansles Athenors, les retor-<lb/>tes, & </s> <s xml:id="echoid-s2848" xml:space="preserve">les autres Alembics, dont ils <lb/>vſent en toutes leurs operations, afin de <lb/>voir ſi l’on peut rapporter toutes ſortes <lb/>de couleurs à la differente reflexion, <lb/>refraction, & </s> <s xml:id="echoid-s2849" xml:space="preserve">immerſion de la lumiere.</s> <s xml:id="echoid-s2850" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div86" type="section" level="1" n="84"> <head xml:id="echoid-head130" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s2851" xml:space="preserve">Les Peintres ſe ſeruent de pluſieurs <lb/>couleurs pour acheuer leurs tableaux, <lb/>& </s> <s xml:id="echoid-s2852" xml:space="preserve">pour peindre en gomme, en huile, & </s> <s xml:id="echoid-s2853" xml:space="preserve"><lb/>à l’eau, ſoit ſans trituration, & </s> <s xml:id="echoid-s2854" xml:space="preserve">broye-<lb/>ment, ou autrement. </s> <s xml:id="echoid-s2855" xml:space="preserve">Ie mets ſeulemĕt <lb/>icy celles dont ils vſent à l’eau, à ſçauoit <lb/>le noir de cerf bruſlé, de Flandre, de <lb/>pierre noire, & </s> <s xml:id="echoid-s2856" xml:space="preserve">d’ancre: </s> <s xml:id="echoid-s2857" xml:space="preserve">dont les tan-<lb/>nez bruns approchent de bien piés, car <lb/>le tanné mourant en eſt plus éloigné. <lb/></s> <s xml:id="echoid-s2858" xml:space="preserve">Et puis ils vsĕt du violet noir, de l’inde, <pb o="187" file="00206" n="205" rhead="& Mathematiques."/> du tourneſol: </s> <s xml:id="echoid-s2859" xml:space="preserve">du violet de bois de Perſe <lb/>diſtillé, & </s> <s xml:id="echoid-s2860" xml:space="preserve">cuit en vinaigre: </s> <s xml:id="echoid-s2861" xml:space="preserve">du paſle, <lb/>qui ſe fait d’vn peu de blanc meſlé auec <lb/>le precedent: </s> <s xml:id="echoid-s2862" xml:space="preserve">de l’azur, qui a pluſieurs <lb/>degrez de prix, & </s> <s xml:id="echoid-s2863" xml:space="preserve">de viuacité: </s> <s xml:id="echoid-s2864" xml:space="preserve">de celuy <lb/>que l’õ appelle blanchette, & </s> <s xml:id="echoid-s2865" xml:space="preserve">mourãte; <lb/></s> <s xml:id="echoid-s2866" xml:space="preserve">du bleu blãc, & </s> <s xml:id="echoid-s2867" xml:space="preserve">celeſte: </s> <s xml:id="echoid-s2868" xml:space="preserve">du rouge brun, <lb/>de la laque pure commune, de la cou-<lb/>leur d’armure, qui ſe compoſe de ladi-<lb/>te laque, & </s> <s xml:id="echoid-s2869" xml:space="preserve">du ſaffran auec l’vrine: </s> <s xml:id="echoid-s2870" xml:space="preserve">de <lb/>la gomme goutte, & </s> <s xml:id="echoid-s2871" xml:space="preserve">de la laque cou-<lb/>leur de bois, du vermillon pur, de la mi-<lb/>ne tant commune, que blanchette, & </s> <s xml:id="echoid-s2872" xml:space="preserve"><lb/>de celle que l’õ apelle rouge. </s> <s xml:id="echoid-s2873" xml:space="preserve">blanc: </s> <s xml:id="echoid-s2874" xml:space="preserve">de <lb/>la laque blãchette forte auec ou ſans la <lb/>ceruſe, de la couleur de chair vermil-<lb/>lonnée compoſée de vermillon, de la-<lb/>que, & </s> <s xml:id="echoid-s2875" xml:space="preserve">de blanc: </s> <s xml:id="echoid-s2876" xml:space="preserve">de la mine, & </s> <s xml:id="echoid-s2877" xml:space="preserve">vermil-<lb/>lon blanc: </s> <s xml:id="echoid-s2878" xml:space="preserve">de la vraye couleur de chair, <lb/>de la couleurde chair morte: </s> <s xml:id="echoid-s2879" xml:space="preserve">de la gom-<lb/>me goutte; </s> <s xml:id="echoid-s2880" xml:space="preserve">de la graine d’Auignon, du <lb/>ſaffran, que l’on meſle auec le maſſicot: </s> <s xml:id="echoid-s2881" xml:space="preserve"><lb/>du iaune paſle, & </s> <s xml:id="echoid-s2882" xml:space="preserve">du doré: </s> <s xml:id="echoid-s2883" xml:space="preserve">du minime <lb/>brun, & </s> <s xml:id="echoid-s2884" xml:space="preserve">cendré, & </s> <s xml:id="echoid-s2885" xml:space="preserve">de la fueille morte: </s> <s xml:id="echoid-s2886" xml:space="preserve"><lb/>du vert de veſſie, du calciné, du mou-<lb/>rant, du vert de mer & </s> <s xml:id="echoid-s2887" xml:space="preserve">du gay: </s> <s xml:id="echoid-s2888" xml:space="preserve">du ſa-<lb/>frané, du vert iaune, du com poſé auec <lb/>la grainc d’Auignõ: </s> <s xml:id="echoid-s2889" xml:space="preserve">du diſtillé, d@ vert <pb o="188" file="00207" n="206" rhead="Queſtions Phyſiques,"/> bleu, & </s> <s xml:id="echoid-s2890" xml:space="preserve">de montagne, du vert de terre: <lb/></s> <s xml:id="echoid-s2891" xml:space="preserve">du gris brun, du gris blanc & </s> <s xml:id="echoid-s2892" xml:space="preserve">noir, du <lb/>torne-ſol & </s> <s xml:id="echoid-s2893" xml:space="preserve">blãc, & </s> <s xml:id="echoid-s2894" xml:space="preserve">de pluſieurs autres <lb/>compoſez: </s> <s xml:id="echoid-s2895" xml:space="preserve">du blanc de ceruſe de Ve-<lb/>niſe, du blanc de plomb, & </s> <s xml:id="echoid-s2896" xml:space="preserve">du blanc <lb/>de craye. </s> <s xml:id="echoid-s2897" xml:space="preserve">Ie laiſſe pluſieurs autres cou-<lb/>leurs, qui ſont diſtillées, & </s> <s xml:id="echoid-s2898" xml:space="preserve">que l’on tire <lb/>des mineraux, & </s> <s xml:id="echoid-s2899" xml:space="preserve">des metaux, & </s> <s xml:id="echoid-s2900" xml:space="preserve">toutes <lb/>celles qui ſont à huille, dont les diffe-<lb/>rentes compoſitions meritent vn liure <lb/>entier.</s> <s xml:id="echoid-s2901" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div87" type="section" level="1" n="85"> <head xml:id="echoid-head131" xml:space="preserve">COROLLAIRE II.</head> <p> <s xml:id="echoid-s2902" xml:space="preserve">L’on vſe auſſi de l’or, & </s> <s xml:id="echoid-s2903" xml:space="preserve">de l’argent <lb/>d’Allemagne, de Flandre, & </s> <s xml:id="echoid-s2904" xml:space="preserve">de Paris <lb/>dans les couleurs, & </s> <s xml:id="echoid-s2905" xml:space="preserve">peintures à l’eau; <lb/></s> <s xml:id="echoid-s2906" xml:space="preserve">mais il faut remarquer que l’or ſ’appli-<lb/>que tellement ſur le bois, ſur le fer, & </s> <s xml:id="echoid-s2907" xml:space="preserve"><lb/>ſur le cuiure, qu’il faut premierement <lb/>mettre deux couches de blanc ſur le <lb/>bois, & </s> <s xml:id="echoid-s2908" xml:space="preserve">qu’il faut polir l’orauec la dent <lb/>de chien, ou de loup: </s> <s xml:id="echoid-s2909" xml:space="preserve">& </s> <s xml:id="echoid-s2910" xml:space="preserve">ſi on le couche <lb/>en huille, il faut mettre vne couche de <lb/>blanc, 2. </s> <s xml:id="echoid-s2911" xml:space="preserve">de rouge, & </s> <s xml:id="echoid-s2912" xml:space="preserve">puis l’or de cou-<lb/>leur, ſur lequel on met l’or. </s> <s xml:id="echoid-s2913" xml:space="preserve">Quant à <lb/>l’or en fueille, on l’applique auec le pin-<lb/>ceau fait de poil de blereau, & </s> <s xml:id="echoid-s2914" xml:space="preserve">auec le <lb/>coton.</s> <s xml:id="echoid-s2915" xml:space="preserve"/> </p> <pb o="189" file="00208" n="207" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s2916" xml:space="preserve">Pour employer l’or poly & </s> <s xml:id="echoid-s2917" xml:space="preserve">bruny ſur <lb/>le cuiure, il faut premierement polit <lb/>ledit duiure, & </s> <s xml:id="echoid-s2918" xml:space="preserve">le faire rougir, affin d’ap-<lb/>pliquer l’or auec le caillou; </s> <s xml:id="echoid-s2919" xml:space="preserve">& </s> <s xml:id="echoid-s2920" xml:space="preserve">puis il le <lb/>faut recuire: </s> <s xml:id="echoid-s2921" xml:space="preserve">ce que l’on fait en met-<lb/>tant 2.</s> <s xml:id="echoid-s2922" xml:space="preserve">ou 3.</s> <s xml:id="echoid-s2923" xml:space="preserve">couches, l’vne ſur l’autre, & </s> <s xml:id="echoid-s2924" xml:space="preserve"><lb/>en le remettant touſiours à feu de char-<lb/>bon leger pour le polir ! & </s> <s xml:id="echoid-s2925" xml:space="preserve">lors que l’on <lb/>l’applique ſur de la charte, ou ſur du <lb/>papier, la dent de bœuf du deuant y <lb/>doit ſeruir.</s> <s xml:id="echoid-s2926" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div88" type="section" level="1" n="86"> <head xml:id="echoid-head132" xml:space="preserve"><emph style="sc">Qvestion</emph> XL.</head> <head xml:id="echoid-head133" style="it" xml:space="preserve">Pourquoy l’haleine que l’on pouſſe du poul-<lb/>mon, ſe void-elle plus aysément à <lb/>l’Hyuer qu’à l’Eſté; & qu’eſt-<lb/>ce que le vent?</head> <p> <s xml:id="echoid-s2927" xml:space="preserve">SI ce que l’on pouſſe hors de l’eſto-<lb/>mac par le mouuemĕt du poulmon <lb/>n eſtoit autre choſe que de l’air, ou du <lb/>vent, qui ſe fait par ſon mouuement, & </s> <s xml:id="echoid-s2928" xml:space="preserve"><lb/>par ſa condenſation, nous ne verrions <lb/>pas l’haleine à l’Hyuer, puiſque l’on n’a <lb/>iamais veu l’air, quoy qu’il ayt eſté treſ-<lb/>chaud, ou trel-froid, & </s> <s xml:id="echoid-s2929" xml:space="preserve">conſequem- <pb o="190" file="00209" n="208" rhead="Queſtions Phyſiques,"/> ment treſ rare, ou treſ-denſe. </s> <s xml:id="echoid-s2930" xml:space="preserve">C’eſt <lb/>pourquoy il faut conclure que l’on ne <lb/>void autre choſe dans l’haleine qui pa-<lb/>roiſt à l’Hyuer, queles vapeurs, & </s> <s xml:id="echoid-s2931" xml:space="preserve">les <lb/>excremens qui ſorrent du poulmon, & </s> <s xml:id="echoid-s2932" xml:space="preserve"><lb/>qui s’epaiſſiſſent, & </s> <s xml:id="echoid-s2933" xml:space="preserve">ſe cõdenſent telle-<lb/>mĕt à la ſortie de la bouche, ou du nez, <lb/>qu’ils ſe rendent viſibles, comme la fu-<lb/>mée, par la reflexion de la lumiere, qui <lb/>n’eſt pas aſſez forte à l’Eſté, ou lors que <lb/>l’on eſt expoſé à la chaleur, à raiſon que <lb/>les vapeurs qui ſortent de la bouche <lb/>ſont trop rarefiées, & </s> <s xml:id="echoid-s2934" xml:space="preserve">trop eſtenduës, & </s> <s xml:id="echoid-s2935" xml:space="preserve"><lb/>renuoyent trop peu de rayons à l’œil <lb/>pour eſtre apperceuës.</s> <s xml:id="echoid-s2936" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2937" xml:space="preserve">Quant à la 2. </s> <s xml:id="echoid-s2938" xml:space="preserve">partie de ceſte queſtiõ, <lb/>il y a grande appaiĕce que le vent n’eſt <lb/>pas different de l’agitation de l’air, & </s> <s xml:id="echoid-s2939" xml:space="preserve"><lb/>qu’il eſt dautant plus froid qu’il le con-<lb/>denſe dauantage, comme l’on experi-<lb/>mente dans toutes ſortes de ſoufflets, <lb/>& </s> <s xml:id="echoid-s2940" xml:space="preserve">d’euentails; </s> <s xml:id="echoid-s2941" xml:space="preserve">mais il eſt difficile de ſca-<lb/>uoir pourquoy le vent du Midy n’eſt <lb/>pas ſi froid que celuy de la bize, lors <lb/>qu’ils ſont également forts, & </s> <s xml:id="echoid-s2942" xml:space="preserve">qu’ils <lb/>condenſent l’air également, ſi l’on n’en <lb/>rapporte la cauſe aux vapcurs, & </s> <s xml:id="echoid-s2943" xml:space="preserve">aux <lb/>ex: </s> <s xml:id="echoid-s2944" xml:space="preserve">laiſons chaudes, qui ſont meſlées <pb o="191" file="00210" n="209" rhead="& Mathematiques."/> auec le vent du midy, ſans leſquelles il <lb/>ſeroit auſſi froid que le vent du ſepten-<lb/>trion. </s> <s xml:id="echoid-s2945" xml:space="preserve">A quoy l’on peut adiouſter que <lb/>les vapeurs, ou les eſprits qui ſortent <lb/>des lieux ſalpeſtreux refroidiſſent l’air, <lb/>& </s> <s xml:id="echoid-s2946" xml:space="preserve">que celuy du midy eſt quelquefois <lb/>auſſi froid que celuy du ſeptentrion. </s> <s xml:id="echoid-s2947" xml:space="preserve">Or <lb/>l’on peut voir le liure que Bacon a fait <lb/>des vents, & </s> <s xml:id="echoid-s2948" xml:space="preserve">experimenter toutes les <lb/>manieres, dont on les peut produire <lb/>auecle ſalpeſtre, l’Æolipile, ou au-<lb/>trement.</s> <s xml:id="echoid-s2949" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div89" type="section" level="1" n="87"> <head xml:id="echoid-head134" xml:space="preserve"><emph style="sc">Qvestion</emph> XLI.</head> <head xml:id="echoid-head135" style="it" xml:space="preserve">Eſt-il vray que de toutes les figures I ſoperi-<lb/>metres de meſme nature, celle qui eſt la <lb/>mieux ordonnée, & que de toutes les he-<lb/>terogenes ordonnées, celle qui eſt la plus <lb/>terminée eſt la plus grande?</head> <p> <s xml:id="echoid-s2950" xml:space="preserve">ILy a long-temps que l’on a demon-<lb/>ſtré que la figure circulaire eſt la plus <lb/>grande de toutes les Iſoperimetres, par-<lb/>ce qu’ellc contient vne infinité d’ãgles, <lb/>au lieu que les autres n’en contiennent <lb/>qu’vn certain nombre, qui donne tou- <pb o="192" file="00211" n="210" rhead="Queſtions Phyſiques,"/> ſiours vne plus grande figure reguliere, <lb/>lors qu’il eſt plus grand.</s> <s xml:id="echoid-s2951" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s2952" xml:space="preserve">Mais la difficulté eſt plus grande <lb/>quand il eſt queſtion de comparer les <lb/>triangles, & </s> <s xml:id="echoid-s2953" xml:space="preserve">les autres figures de diffe-<lb/>rente eſpece, & </s> <s xml:id="echoid-s2954" xml:space="preserve">heterogenes. </s> <s xml:id="echoid-s2955" xml:space="preserve">Or il eſt <lb/>certain que le triangle équilateral eſt le <lb/>plus grand de tous les triangles, dont le <lb/>circuit eſt égal: </s> <s xml:id="echoid-s2956" xml:space="preserve">& </s> <s xml:id="echoid-s2957" xml:space="preserve">conſequemment <lb/>qu’il eſt plus grand que l’Equicture, ou <lb/>Iſocele lequel eſt auſſi ſouuent plus <lb/>grand que ceux dont tous les coſtez <lb/>ſont inegaux, que l’on appelle ſcalenes, <lb/>quoy que cela n’arriue pas touſiours, <lb/>car le ſcalene, dont les coſtez ſont 11. <lb/></s> <s xml:id="echoid-s2958" xml:space="preserve">18. </s> <s xml:id="echoid-s2959" xml:space="preserve">21. </s> <s xml:id="echoid-s2960" xml:space="preserve">eſt plus grand que l’lſocele, qui a <lb/>10.</s> <s xml:id="echoid-s2961" xml:space="preserve">20. </s> <s xml:id="echoid-s2962" xml:space="preserve">20. </s> <s xml:id="echoid-s2963" xml:space="preserve">pour ſes coſtez, car la gran-<lb/>deur, ou l’aire de ceſtuy. </s> <s xml:id="echoid-s2964" xml:space="preserve">cy eſt ſeulemĕt <lb/>℞ 9375. </s> <s xml:id="echoid-s2965" xml:space="preserve">& </s> <s xml:id="echoid-s2966" xml:space="preserve">l’aire de celuy-là eſt ℞ 9800. </s> <s xml:id="echoid-s2967" xml:space="preserve"><lb/>Quant à l’Equilateral Iſoperimetre, <lb/>dont chacun des coſtez a 16 {2/3}, ſon aire <lb/>eſt ℞ 14467 {16/27}. </s> <s xml:id="echoid-s2968" xml:space="preserve">Mais quand les figures <lb/>Iſoperimetres Homogenes ne ſont pas <lb/>ordonnées, il peut arriuer que la moins <lb/>ordonnée ſoit moin dre, égale, ou plus <lb/>grande; </s> <s xml:id="echoid-s2969" xml:space="preserve">par exemple, ſi l’on conſidere <lb/>les 3. </s> <s xml:id="echoid-s2970" xml:space="preserve">parallelogrammes, & </s> <s xml:id="echoid-s2971" xml:space="preserve">les;</s> <s xml:id="echoid-s2972" xml:space="preserve">. trape-<lb/>zes Iſoperimetres, quepropoſe Camille <pb o="193" file="00212" n="211" rhead="& Mathematiques."/> Glorieux, le premier parallelogramme <lb/>215.</s> <s xml:id="echoid-s2973" xml:space="preserve">15.</s> <s xml:id="echoid-s2974" xml:space="preserve">9.</s> <s xml:id="echoid-s2975" xml:space="preserve">9. </s> <s xml:id="echoid-s2976" xml:space="preserve">pour ſes 4. </s> <s xml:id="echoid-s2977" xml:space="preserve">coſtez, le 2. </s> <s xml:id="echoid-s2978" xml:space="preserve">a 12. <lb/></s> <s xml:id="echoid-s2979" xml:space="preserve">12. </s> <s xml:id="echoid-s2980" xml:space="preserve">3 {1/2}. </s> <s xml:id="echoid-s2981" xml:space="preserve">3 {1/2}. </s> <s xml:id="echoid-s2982" xml:space="preserve">& </s> <s xml:id="echoid-s2983" xml:space="preserve">le 3. </s> <s xml:id="echoid-s2984" xml:space="preserve">a 12. </s> <s xml:id="echoid-s2985" xml:space="preserve">12. </s> <s xml:id="echoid-s2986" xml:space="preserve">4. </s> <s xml:id="echoid-s2987" xml:space="preserve">4. </s> <s xml:id="echoid-s2988" xml:space="preserve">Les 4. </s> <s xml:id="echoid-s2989" xml:space="preserve"><lb/>coſtez du premier trapeze ſont 15 6.</s> <s xml:id="echoid-s2990" xml:space="preserve">10. </s> <s xml:id="echoid-s2991" xml:space="preserve"><lb/>17. </s> <s xml:id="echoid-s2992" xml:space="preserve">ceux du ſecond, 12.</s> <s xml:id="echoid-s2993" xml:space="preserve">8.</s> <s xml:id="echoid-s2994" xml:space="preserve">6.</s> <s xml:id="echoid-s2995" xml:space="preserve">5. </s> <s xml:id="echoid-s2996" xml:space="preserve">& </s> <s xml:id="echoid-s2997" xml:space="preserve">ceux du <lb/>troiſieſme 12.</s> <s xml:id="echoid-s2998" xml:space="preserve">4.</s> <s xml:id="echoid-s2999" xml:space="preserve">6.</s> <s xml:id="echoid-s3000" xml:space="preserve">10. </s> <s xml:id="echoid-s3001" xml:space="preserve">or l’aire, ou la ca-<lb/>pacité du premier parallelogramme eſt <lb/>135. </s> <s xml:id="echoid-s3002" xml:space="preserve">celle du 2. </s> <s xml:id="echoid-s3003" xml:space="preserve">eſt 42. </s> <s xml:id="echoid-s3004" xml:space="preserve">celle du 3. </s> <s xml:id="echoid-s3005" xml:space="preserve">eſt 48. </s> <s xml:id="echoid-s3006" xml:space="preserve"><lb/>celle du premier trapeze a 84. </s> <s xml:id="echoid-s3007" xml:space="preserve">celle du <lb/>2. </s> <s xml:id="echoid-s3008" xml:space="preserve">a ℞ 2460 {15/16}. </s> <s xml:id="echoid-s3009" xml:space="preserve">& </s> <s xml:id="echoid-s3010" xml:space="preserve">celle du 3. </s> <s xml:id="echoid-s3011" xml:space="preserve">a 48. </s> <s xml:id="echoid-s3012" xml:space="preserve">d’où <lb/>il eſt ailé de conclure que le premier <lb/>parallelogramme eſt plus grand que le <lb/>premier trapeze: </s> <s xml:id="echoid-s3013" xml:space="preserve">que le 2. </s> <s xml:id="echoid-s3014" xml:space="preserve">eſt moindre <lb/>que le 2. </s> <s xml:id="echoid-s3015" xml:space="preserve">& </s> <s xml:id="echoid-s3016" xml:space="preserve">que le 3. </s> <s xml:id="echoid-s3017" xml:space="preserve">eſt égal au 3. </s> <s xml:id="echoid-s3018" xml:space="preserve">tra-<lb/>peze. </s> <s xml:id="echoid-s3019" xml:space="preserve">Le meſme autheur demonſtre <lb/>que la figure, qui eſt la plus terminee <lb/>entre les Iſoperimetres ordonnées de <lb/>differente nature, eſt la plus grande: </s> <s xml:id="echoid-s3020" xml:space="preserve"><lb/>par exemple, le triangle équilateral, <lb/>dont le coſté eſt 16 {2/3}, a pour ſon aire ℞ <lb/>14467 {16/17}. </s> <s xml:id="echoid-s3021" xml:space="preserve">& </s> <s xml:id="echoid-s3022" xml:space="preserve">le quarré dont le coſté eſt <lb/>12 {1/2}. </s> <s xml:id="echoid-s3023" xml:space="preserve">a 156 {2/4} p<gap/> ſa capacité.</s> <s xml:id="echoid-s3024" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3025" xml:space="preserve">Mais quand ces figures ne ſont pas <lb/>ordonnées, il peut arriuer que la plus <lb/>terminée ſera plus grãde, ou moindre, <lb/>ou égale: </s> <s xml:id="echoid-s3026" xml:space="preserve">par exemple, ſi le triangle <lb/>ſcalene a 10. </s> <s xml:id="echoid-s3027" xml:space="preserve">17. </s> <s xml:id="echoid-s3028" xml:space="preserve">21. </s> <s xml:id="echoid-s3029" xml:space="preserve">pour ſes 3. </s> <s xml:id="echoid-s3030" xml:space="preserve">coſtez, <lb/>ſa capacité eſt 84. </s> <s xml:id="echoid-s3031" xml:space="preserve">laquelle eſt égale au <pb o="194" file="00213" n="212" rhead="Queſtions Phyſiques,"/> parallelogramme, dont le plus grand <lb/>coſté eſt ℞60 +<unsure/> 12. </s> <s xml:id="echoid-s3032" xml:space="preserve">& </s> <s xml:id="echoid-s3033" xml:space="preserve">le moindre 12. <lb/></s> <s xml:id="echoid-s3034" xml:space="preserve">℞60. </s> <s xml:id="echoid-s3035" xml:space="preserve">& </s> <s xml:id="echoid-s3036" xml:space="preserve">toutesfois le meſme triangle <lb/>eſt moindre que le parallelogramme <lb/>iſoperimetre, dont les coſtez ſont 14. </s> <s xml:id="echoid-s3037" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s3038" xml:space="preserve">10 car ſon aire eſt de 140. </s> <s xml:id="echoid-s3039" xml:space="preserve">mais il eſt <lb/>plus grand que le parallelogramme, <lb/>dont les coſtez ſont 20. </s> <s xml:id="echoid-s3040" xml:space="preserve">& </s> <s xml:id="echoid-s3041" xml:space="preserve">4, car ſon ai-<lb/>re n’eſt que de 80.</s> <s xml:id="echoid-s3042" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3043" xml:space="preserve">Finalement il prouue que la figure, <lb/>qui approche dauantage de l’ordonnée <lb/>eſt touſiours la plus grande des figures <lb/>iſoperimetres de meſme nature qui ne <lb/>ſont pas ordonnées: </s> <s xml:id="echoid-s3044" xml:space="preserve">& </s> <s xml:id="echoid-s3045" xml:space="preserve">que quand elles <lb/>conuiennent, ou qu’elles ſont differen-<lb/>tes en angles, ou en coſtez, celle dont <lb/>les coſtez, ou les angles approchent <lb/>dauantage des coſtez, ou des angles de <lb/>l’ordonnée eſt plus grande.</s> <s xml:id="echoid-s3046" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div90" type="section" level="1" n="88"> <head xml:id="echoid-head136" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s3047" xml:space="preserve">L’on appelle la figure ordonnée, ou re-<lb/>guliere, quand ſes coſtez, & </s> <s xml:id="echoid-s3048" xml:space="preserve">ſes angles <lb/>ſont égaux, commeil arriue au triangle <lb/>équilateral, au quarré, à l’exagone, & </s> <s xml:id="echoid-s3049" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s3050" xml:space="preserve">de ſorte que la regularité des figures <lb/>leur donne d’auſſi grands auantages, <pb o="195" file="00214" n="213" rhead="& Mathematiques."/> que celle que l’on obſerue dans toutes <lb/>les autres choſes: </s> <s xml:id="echoid-s3051" xml:space="preserve">delà vient que cha-<lb/>que figure reguliere eſt la plus grande <lb/>de toutes les iſoperimetres de meſme <lb/>nature, & </s> <s xml:id="echoid-s3052" xml:space="preserve">que celle d’entre les irregu-<lb/>licres qui approche dauantage de la re-<lb/>guliere, eſt la plus grande. </s> <s xml:id="echoid-s3053" xml:space="preserve">Mais l’on <lb/>ne peut rien determiner, quand les co-<lb/>ſtez de l’vne s’approchent dauantage <lb/>de la reguliere, & </s> <s xml:id="echoid-s3054" xml:space="preserve">que les angles s’en <lb/>éloignent dauantage.</s> <s xml:id="echoid-s3055" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div91" type="section" level="1" n="89"> <head xml:id="echoid-head137" xml:space="preserve"><emph style="sc">Qvestion</emph> XLII.</head> <head xml:id="echoid-head138" style="it" xml:space="preserve">La blancheur eſt elle la plus excellente de <lb/>toutes les couleurs?</head> <p> <s xml:id="echoid-s3056" xml:space="preserve">ENcore que les peintres, ou les Tein-<lb/>turiers ne mettent pas le blanc, & </s> <s xml:id="echoid-s3057" xml:space="preserve"><lb/>le noir entre les couleurs, parce que le <lb/>blanc eſt vne table d’attente, qui eſt in-<lb/>differente à receuoir toutes ſortes de <lb/>couleurs, dont il ſemble qu’elle eſt le <lb/>principe: </s> <s xml:id="echoid-s3058" xml:space="preserve">& </s> <s xml:id="echoid-s3059" xml:space="preserve">que le noir, qui reſſemble <lb/>à la priuation de toutes les couleurs, <lb/>n’en puiſſe receuoir aucune, neátmoins <lb/>il n’y a nul doute que la blancheur eſt <pb o="196" file="00215" n="214" rhead="Queſtions Phyſiques,"/> vne couleur, que l’on peut appeller vne <lb/>lumiere diminuee, ou commençante: <lb/></s> <s xml:id="echoid-s3060" xml:space="preserve">car elle luy eſt plus ſemblable que tou-<lb/>tes les autres couleurs, ta@t en ce qu’el-<lb/>le fait vne plus forte impreſſiõ ſur l’œil, <lb/>qu’elle bleſſe en diſſipant ſa force, & </s> <s xml:id="echoid-s3061" xml:space="preserve">ſa <lb/>viuacité, qu’ĕ ce qu’elle eſt ſuſceptible <lb/>de toutes ſortes de couleurs, comme le <lb/>rayon du Soleil, qui en repreſente les <lb/>principales, lors qu’il paſſe à trauers les <lb/>triangles, ou les priſmes de chryſtal, & </s> <s xml:id="echoid-s3062" xml:space="preserve"><lb/>de verre, ou qu’il ſe rompt dans les au-<lb/>tres diafanes. </s> <s xml:id="echoid-s3063" xml:space="preserve">Or il faut remarquer que <lb/>la blancheur reſiſte dauantage à la cha-<lb/>leur, ou au feu de la lumiere, que les <lb/>autres couleuts, comme l’on remarque <lb/>dans le papier blanc, qui ne bruſle pas <lb/>ſi ayſément que le papier noir, rouge, <lb/>verd, & </s> <s xml:id="echoid-s3064" xml:space="preserve">c. </s> <s xml:id="echoid-s3065" xml:space="preserve">lors que l’on y veut mettre le <lb/>feu auec vn miroir ardent, ſoit que ce-<lb/>cy arriue à cauſe que chaque choſe agit <lb/>plus fort & </s> <s xml:id="echoid-s3066" xml:space="preserve">plus ayſément ſur ſon con-<lb/>traire, ou que le noir, & </s> <s xml:id="echoid-s3067" xml:space="preserve">les autres cou-<lb/>leurs rendent le papier, & </s> <s xml:id="echoid-s3068" xml:space="preserve">les autres <lb/>corps plus gras, plus huileux, & </s> <s xml:id="echoid-s3069" xml:space="preserve">plus <lb/>propres à conceuoir le feu.</s> <s xml:id="echoid-s3070" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3071" xml:space="preserve">Mais l’on peut propoſer pluſieurs dif-<lb/>ficultez ſur ce ſujet, qui deſirent d’au- <pb o="197" file="00216" n="215" rhead="& Mathematiques."/> cres lieux: </s> <s xml:id="echoid-s3072" xml:space="preserve">par exemple, que le blanc <lb/>eſt le plus imparfait, puis qu’il attire, & </s> <s xml:id="echoid-s3073" xml:space="preserve"><lb/>reçoit toutes les autres conleurs, qui <lb/>ſont comme les actes à l’égard de la <lb/>puiſſance: </s> <s xml:id="echoid-s3074" xml:space="preserve">& </s> <s xml:id="echoid-s3075" xml:space="preserve">qu’il diſſipe la veuë, au <lb/>lieu que le noir lareunit, lequel on peut <lb/>appeller le plus parfait, puis qu’il refuſe <lb/>toutes les autres couleurs (comme l’on <lb/>dit que la matiere des cicux refuſe tou-<lb/>tes les autres formes) d’autant que le <lb/>noir les contient toutes en éminence. <lb/></s> <s xml:id="echoid-s3076" xml:space="preserve">D’ailleurs, l’on peut dire que le noir <lb/>dilate la veuë, puis que la paupiere s’é-<lb/>largit dans les tenebres, & </s> <s xml:id="echoid-s3077" xml:space="preserve">qu’elle ſe re-<lb/>ſtreint à la preſence de la lumiere. </s> <s xml:id="echoid-s3078" xml:space="preserve">Or <lb/>il y a pluſieurs ſortes de blãcs, dont les <lb/>vns viennent, ce ſemble, de la ſeule re-<lb/>flexion de la lumiere, comme il arriue <lb/>à la blancheur de la neige, qui n’eſt au-<lb/>tre choſe qu’vne quantité de rayons re-<lb/>flechis en mille manieres, par les diffe-<lb/>rentes parties, tant concaues que con-<lb/>uexes de la neige: </s> <s xml:id="echoid-s3079" xml:space="preserve">mais la blanchcur du <lb/>drap, du laict, du lis, & </s> <s xml:id="echoid-s3080" xml:space="preserve">c. </s> <s xml:id="echoid-s3081" xml:space="preserve">ſont fort dif-<lb/>ſerentes de la precedente.</s> <s xml:id="echoid-s3082" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div92" type="section" level="1" n="90"> <head xml:id="echoid-head139" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s3083" xml:space="preserve">Sile noir, on quelqu’autre couleut <pb o="198" file="00217" n="216" rhead="Queſtions Phyſiques,"/> rĕdle papier plus rude, ou plus poreux, <lb/>cela peut eſtre cauſe qu’il bruſle plus <lb/>ayſément que lors qu’il eſt plus poly, <lb/>car plus vn corps eſt poly, & </s> <s xml:id="echoid-s3084" xml:space="preserve">moins <lb/>poreux, & </s> <s xml:id="echoid-s3085" xml:space="preserve">plus ayſément il reſiſte aux <lb/>agens contraires, qui ne peuuent im-<lb/>primer leurs qualités ſur leurs ſurfaces, <lb/>quoy que l’on remarque le contraire <lb/>dans l’aymant, lequel agit d’autãt plus <lb/>puiſſamment ſur le fer, qu’il eſt plus po-<lb/>lv, car vn meſme morceau de fer, qui <lb/>ne peut eſtre attiré par l’Aymãt brute, <lb/>eſt attiré ſi toſt que l’on a poly l’vn ou <lb/>l’autre, ou tous deux, aux endroits pat <lb/>leſquels l’vn doit attirer, & </s> <s xml:id="echoid-s3086" xml:space="preserve">l’autre doit <lb/>eſtre attiré: </s> <s xml:id="echoid-s3087" xml:space="preserve">ce qui eſt treſ-remarquable <lb/>pour pluſieurs raiſons.</s> <s xml:id="echoid-s3088" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div93" type="section" level="1" n="91"> <head xml:id="echoid-head140" xml:space="preserve"><emph style="sc">Qvestion</emph> XLIII.</head> <head xml:id="echoid-head141" style="it" xml:space="preserve"><emph style="bf">Pcurquoy ics recreations que l’on prend en la</emph> <lb/><emph style="bf">preſence des maiſtres, & des ſupericurs ne</emph> <lb/><emph style="bf">ſont elles-pas ſi agreables que celles que</emph> <lb/><emph style="bf">l’on prond en leur abſcence?</emph></head> <p> <s xml:id="echoid-s3089" xml:space="preserve">LA nature, & </s> <s xml:id="echoid-s3090" xml:space="preserve">la proprieté de la re-<lb/>creation eſt, ce ſemble, tellement <pb o="199" file="00218" n="217" rhead="& Mathematiques."/> eonjointe aucc la liberté, que l’vne ne <lb/>peut ſe rencõtrer ſans l’autre, ou qu’el-<lb/>le eſt d’autant moindre qu’elle a moins <lb/>de liberté, & </s> <s xml:id="echoid-s3091" xml:space="preserve">plus de contrainte, com-<lb/>me l’on experimente dans les priſons, <lb/>où les plaiſirs que l’on peut receuoir, ne <lb/>ſont iamais ſi grands, quoy que l’on n’y <lb/>rencõtre quelquefois de meilleurs trai-<lb/>temens qu’ailleurs, comme ils ſont lors <lb/>que l’on eſt en pleine liberté: </s> <s xml:id="echoid-s3092" xml:space="preserve">car toute <lb/>ſorte de contrainte, & </s> <s xml:id="echoid-s3093" xml:space="preserve">de retenue eſt <lb/>vne eſpece de douleur, qui attaque l’eſ-<lb/>prit, ou le corps, & </s> <s xml:id="echoid-s3094" xml:space="preserve">qui nous captiue <lb/>contre noſtre volonté.</s> <s xml:id="echoid-s3095" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3096" xml:space="preserve">Or quand les maiſtres, ou ceux qui <lb/>vſent d’vne pareille authorité ſur nous, <lb/>ſe trouuent preſens à nos recreations, <lb/>nous craignõs qu’ils ne remarquent nos <lb/>paſſions, & </s> <s xml:id="echoid-s3097" xml:space="preserve">nos imperfections, & </s> <s xml:id="echoid-s3098" xml:space="preserve">qu’ils <lb/>ne diminuënt la bonne opinion qu’ils <lb/>pouuoient auoir conceuë de noſtre bon <lb/>naturel, de nos bonnes inclinations, & </s> <s xml:id="echoid-s3099" xml:space="preserve"><lb/>de nos vertus: </s> <s xml:id="echoid-s3100" xml:space="preserve">ce qui ne peut arriuer <lb/>ſans la perte de l’eſtime que nous auiõs <lb/>acquiſe dans leur eſprit. </s> <s xml:id="echoid-s3101" xml:space="preserve">Et parce que <lb/>les hommes ne font pas moins de cas <lb/>de leur reputation que de leur vie, & </s> <s xml:id="echoid-s3102" xml:space="preserve"><lb/>de leur eſtre, ils ſont portez d’vne meſ- <pb o="200" file="00219" n="218" rhead="Queſtions Phyſiques,"/> me paſſion, & </s> <s xml:id="echoid-s3103" xml:space="preserve">d’vne meſme violence à <lb/>deffendre leur honneur, & </s> <s xml:id="echoid-s3104" xml:space="preserve">leur vie; <lb/></s> <s xml:id="echoid-s3105" xml:space="preserve">qu’ils eſtiment auoir perduë dans la pĕ-<lb/>ſée de ceux qui les mépriſent. </s> <s xml:id="echoid-s3106" xml:space="preserve">Delà <lb/>vient qu’ils ne craignent ſeulement pas <lb/>la preſence des ſuperieurs, & </s> <s xml:id="echoid-s3107" xml:space="preserve">de tous <lb/>ceux qui peuuent aduertir leſdits ſupe-<lb/>rieurs de leurs imperfections, mais auſ-<lb/>ſi celle de tous les honneſtes hommes, <lb/>dontils peuuent receuoir du blaſme, & </s> <s xml:id="echoid-s3108" xml:space="preserve"><lb/>du meſpris.</s> <s xml:id="echoid-s3109" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3110" xml:space="preserve">I’en excepte ceux qui ſont bien ayſes <lb/>que l’on remarque ſoigneuſemĕt leurs <lb/>actions, aſin qu’ils en puiſſent corriger <lb/>les défauts; </s> <s xml:id="echoid-s3111" xml:space="preserve">mais l’on en rencontre fort <lb/>peu de ceux-là, car nul ne veut eſtre <lb/>reprimandé; </s> <s xml:id="echoid-s3112" xml:space="preserve">& </s> <s xml:id="echoid-s3113" xml:space="preserve">lors que l’on en trouue, <lb/>l’on peut conclurre que s’ils ne ſont ſo-<lb/>lidement vertueux, qu’ils ſont bien <lb/>auant dans le chemin de la vertu, dont <lb/>ils joüiront bien toſt, puis qu’elle ne re-<lb/>butte nul de ceux qui la recherchent <lb/>auec ferueur.</s> <s xml:id="echoid-s3114" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3115" xml:space="preserve">Et ie ne doute nullement qu’ils ne <lb/>ſoient bien ayſes de ne prendre nul-<lb/>le recreation qu’en la preſence de <lb/>ceux qui ont charge, ou droit de les re-<lb/>prendre, & </s> <s xml:id="echoid-s3116" xml:space="preserve">de veiller ſur leurs actions, <pb o="201" file="00220" n="219" rhead="& Mathematiques."/> dautant qu’ils deſirent de ſe recreer <lb/>honneſtement, ce qui ne peut eſtre re-<lb/>pris de ceux qui ont du iugement, & </s> <s xml:id="echoid-s3117" xml:space="preserve">de <lb/>la vertu, & </s> <s xml:id="echoid-s3118" xml:space="preserve">qui ſçauent que les plaiſirs <lb/>innocens, dont on vſe pour delaſſer, & </s> <s xml:id="echoid-s3119" xml:space="preserve"><lb/>pour renforcer l’eſprit, ou le corps, a fin <lb/>qu’il faſſe mieux ſes fonctions, ne ſont <lb/>pas moins agreables à Dieu, ny moins <lb/>honneſtes, que les affaires les plus ſe-<lb/>rieuſes, & </s> <s xml:id="echoid-s3120" xml:space="preserve">les plus grands employs que <lb/>l’on puiſſe auoir.</s> <s xml:id="echoid-s3121" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div94" type="section" level="1" n="92"> <head xml:id="echoid-head142" xml:space="preserve"><emph style="sc">Qvestion</emph> XLIV.</head> <head xml:id="echoid-head143" style="it" xml:space="preserve">Quia-il de plus not able dans les Dialogues <lb/>que Galilée a faits du mouuement de la <lb/>terre? cette queſtion contient tcut <lb/>ſon premier Dialogue.</head> <p> <s xml:id="echoid-s3122" xml:space="preserve">CE diſcours ſeruira pour ceux qui <lb/>n’ont pas, ou qui n’entendent pas <lb/>les quatre Dialogues que Galilée a faits <lb/>des mouuemens de la terro, car il con-<lb/>tient tout ce qu’ils ont de plus remar-<lb/>quable. </s> <s xml:id="echoid-s3123" xml:space="preserve">Or il commence par la com-<lb/>paraiſon du mouuement droit auec le <lb/>circulaire; </s> <s xml:id="echoid-s3124" xml:space="preserve">& </s> <s xml:id="echoid-s3125" xml:space="preserve">dit que les principales <pb o="202" file="00221" n="220" rhead="Queſtions Phyſiques,"/> parties de l’vniuers n’ont pas deu awoir <lb/>d’autre mouuement que le circulaire, <lb/>dautant qu’elles ont deu eſtre diſpo-<lb/>ſées ſi parfaitement, qu’elles n’ayent eu <lb/>nul beſoin de changer de place, ce qui <lb/>ne pourroit arriuer ſi elles ſe mouuoiĕt <lb/>en ligne droite, qui n’eſt point termi-<lb/>née, & </s> <s xml:id="echoid-s3126" xml:space="preserve">qui ne ſert que pour éloigner les <lb/>parties du monde de leur propre lieu.</s> <s xml:id="echoid-s3127" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3128" xml:space="preserve">Mais le circulaire les conſeruant tou-<lb/>ſiours dans vne égale diſtance d’auec <lb/>leur centre n’a nul point qui ne ſoit ſon <lb/>commencemĕt & </s> <s xml:id="echoid-s3129" xml:space="preserve">ſa fin; </s> <s xml:id="echoid-s3130" xml:space="preserve">delà vient qu’il <lb/>eſt égal par tout, au lieu que le mouue-<lb/>ment droit eſt plus viſte au commence-<lb/>ment, lors qu’il eſt violent, ou à la fin, <lb/>quand il eſt naturel. </s> <s xml:id="echoid-s3131" xml:space="preserve">De plus, le circu-<lb/>laire eſtant perpetuellement terminé <lb/>peut eſtre infiny par le moyen de la re-<lb/>petition de ſes tours; </s> <s xml:id="echoid-s3132" xml:space="preserve">ce qui ne peur ar-<lb/>riuer au mouuement droit, car la natu-<lb/>re ne donne nul mouuement qui ne <lb/>puiſſe paruenir à sõ terme: </s> <s xml:id="echoid-s3133" xml:space="preserve">or ſi le mou-<lb/>uement droit va s’allentiſſant, il ſera <lb/>violent, donc il ne ſera pas perpetuel: <lb/></s> <s xml:id="echoid-s3134" xml:space="preserve">s’il va s’accroiſſant, il finira à ſon terme, <lb/>donc il ne durera pas touſiours, de ſor-<lb/>te que le ſeul mouuement circulaire <pb o="203" file="00222" n="221" rhead="& Mathematiques."/> eſt propre pour l’éternité.</s> <s xml:id="echoid-s3135" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3136" xml:space="preserve">A quoy l’on peut adiouſter que ſi la <lb/>penſée de Piatõ eſt veritable, que l’Au-<lb/>theur de l’vniuers a laiſſé tomber les <lb/>aſtres d’vn certain lieu ſi haut, que <lb/>quand ils ont eu aſſez de viſteſſe, il a <lb/>changé leur mouuement droit au cir-<lb/>culaire qu’ils cõſeruent encore, de ſor-<lb/>te que l’on peut ſupputer d’où ils ont <lb/>deu tomber pour acquerir les mouue-<lb/>mens qu’ils ont en demeurãt dans leurs <lb/>propres lieux.</s> <s xml:id="echoid-s3137" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3138" xml:space="preserve">D’où il eſt ayſé de conclurre que le <lb/>mouuement circulaire, & </s> <s xml:id="echoid-s3139" xml:space="preserve">le repos ſont <lb/>treſ-propres pour la conſeruation de <lb/>l’vniuers, & </s> <s xml:id="echoid-s3140" xml:space="preserve">que le droit eſt vtile pour <lb/>renuoyer les parties en leurs lieux na-<lb/>turels, par vn chemin treſ court. </s> <s xml:id="echoid-s3141" xml:space="preserve">Et ſi <lb/>Ariſtote a bien definy la nature, il a deu <lb/>mettre des corps qui ſe repoſent natu-<lb/>rellement, comme il en a mis qui ſe <lb/>meuuent, puis qu’il dit qu’elle eſt le <lb/>principe du mouuement & </s> <s xml:id="echoid-s3142" xml:space="preserve">du repos.</s> <s xml:id="echoid-s3143" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3144" xml:space="preserve">Or il faut remarquer que la pierre <lb/>qui quitte ſon repos, ſe meut par tous <lb/>les degre@ poſſibles de tardiueté, & </s> <s xml:id="echoid-s3145" xml:space="preserve"><lb/>qu’elle acquiert touſiouts de nou-<lb/>ucaux degrez de viſteſſe. </s> <s xml:id="echoid-s3146" xml:space="preserve">Apres ces <pb o="204" file="00223" n="222" rhead="Queſtions Phyſiques,"/> diſcours qu’il eſtend iuſques à la 39. </s> <s xml:id="echoid-s3147" xml:space="preserve">pa-<lb/>ge de ſon premier dialogue: </s> <s xml:id="echoid-s3148" xml:space="preserve">il combat <lb/>l’incorruptibilité qu’Ariſtote a miſe <lb/>dans les cieux, dautant que ſi l’on eſtoit <lb/>dans la Lune, ou dans le Soleil.</s> <s xml:id="echoid-s3149" xml:space="preserve">on n’ap-<lb/>perceuroit pas mieux les petites cor-<lb/>ruptiõs de la terre: </s> <s xml:id="echoid-s3150" xml:space="preserve">par exemple, l’em. <lb/></s> <s xml:id="echoid-s3151" xml:space="preserve">braſement des foreſts, & </s> <s xml:id="echoid-s3152" xml:space="preserve">des villes, & </s> <s xml:id="echoid-s3153" xml:space="preserve">c. </s> <s xml:id="echoid-s3154" xml:space="preserve"><lb/>que celles qui peuuent arriuer au So-<lb/>leil, dans lequel Schener a remarqué <lb/>tant de corruptions, de macules, & </s> <s xml:id="echoid-s3155" xml:space="preserve">de <lb/>flammes, qu’il nous a fait douter s’il en-<lb/>dure autant ou plus de corruptions, & </s> <s xml:id="echoid-s3156" xml:space="preserve"><lb/>de changemens que la terre, comme ie <lb/>monſtre dans vne autre. </s> <s xml:id="echoid-s3157" xml:space="preserve">Si Ariſto-<lb/>te euſt veu les nouuelles eſtoiles de <lb/>l’an 1572. </s> <s xml:id="echoid-s3158" xml:space="preserve">& </s> <s xml:id="echoid-s3159" xml:space="preserve">1604. </s> <s xml:id="echoid-s3160" xml:space="preserve">il euſt peut eſtre <lb/>changé d’auis, particulieremĕt s’il euſt <lb/>obſerué le lieu des Cometes auſſi haut <lb/>que celuy du Soleil, comme Tycho, <lb/>Kepler, & </s> <s xml:id="echoid-s3161" xml:space="preserve">pluſienrs autres ont remar-<lb/>qué, quov que Claramontius ſe ſoit ef-<lb/>forcé de demonſtrer le contraire par les <lb/>meſmes obſernations, & </s> <s xml:id="echoid-s3162" xml:space="preserve">les meſmes <lb/>parallaxes, dont les autres ſe ſont ſer-<lb/>uis.</s> <s xml:id="echoid-s3163" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3164" xml:space="preserve">Dans la 46. </s> <s xml:id="echoid-s3165" xml:space="preserve">page, il remarque que <lb/>les macules du Solcil, naiſſent & </s> <s xml:id="echoid-s3166" xml:space="preserve">ſe diſ- <pb o="205" file="00224" n="223" rhead="& Mathematiques."/> ſipent ſouuent au milieu du Soleil, où <lb/>elles paroiſſent pl<emph style="sub">9</emph> larges qu’aux bords, <lb/>auſquels leur mouuemĕt eſt plus lent, <lb/>d’où il cõclud qu’elles ne ſont pas ſphe-<lb/>riques, & </s> <s xml:id="echoid-s3167" xml:space="preserve">qu’elles ne ſont pas portées <lb/>par des cercles cõcentriques au Soleil. <lb/></s> <s xml:id="echoid-s3168" xml:space="preserve">Il adjouſte en ſuite que l’incorruptibi-<lb/>lité n’eſt pas vne qualité qui annobliſſe <lb/>les corps, puis qu’vne ſtatuë, qui ne ſe <lb/>corrompt point par la generation, ny <lb/>par les autres mouuemens, eſt moins <lb/>noble, & </s> <s xml:id="echoid-s3169" xml:space="preserve">moins excellente que ne ſont <lb/>les hommes.</s> <s xml:id="echoid-s3170" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3171" xml:space="preserve">D’ailleursnous ne pouuons ſçauoir s’il <lb/>a des generations dans les aſtres ſem-<lb/>blables ou diſſemblables à celles de la <lb/>terre, & </s> <s xml:id="echoid-s3172" xml:space="preserve">que nous n’en pouuons pas <lb/>auoir de plus grandes conjectures, que <lb/>celles qu’vn homme nourry au milieu <lb/>d’vne foreſt auroit de la mer, des poiſ-<lb/>ſons, & </s> <s xml:id="echoid-s3173" xml:space="preserve">des nauires, dont il n’auroit ia-<lb/>mais oüy parler, n’y ayant nulle penſée <lb/>raiſonnable qui nous puiſſe faire con-<lb/>iecturer autre choſe ſinon que s’il y a <lb/>des creatures viuantes & </s> <s xml:id="echoid-s3174" xml:space="preserve">intelligentes <lb/>dãs les aſtres, qu’elles loüent & </s> <s xml:id="echoid-s3175" xml:space="preserve">adorent <lb/>le Createur de l’vniuers.</s> <s xml:id="echoid-s3176" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3177" xml:space="preserve">Quant à la comparaiſon de la terre <pb o="206" file="00225" n="224" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s3178" xml:space="preserve">de la Lune, il remarque premiere-<lb/>ment que l’vne & </s> <s xml:id="echoid-s3179" xml:space="preserve">l’autre eſt ſpherique, <lb/>opaque, & </s> <s xml:id="echoid-s3180" xml:space="preserve">d’vne matiere dure, & </s> <s xml:id="echoid-s3181" xml:space="preserve">ſoli-<lb/>de, comme l’on prouue par les inegali-<lb/>tez, & </s> <s xml:id="echoid-s3182" xml:space="preserve">les montagnes que l’on décou-<lb/>ure dans la Lune auec les lunettes, 2, <lb/>qu’elle a deux parties comme la terre, <lb/>à ſçauoir celle de l’eau qui paroiſt plus <lb/>obſcure, à raiſon qu’elle reflechit vne <lb/>moindre quantité de rayons. </s> <s xml:id="echoid-s3183" xml:space="preserve">3. </s> <s xml:id="echoid-s3184" xml:space="preserve">que la <lb/>terre ſe void comme vne Lune, ſi l’on <lb/>s’imagine vn œil dans la Lune, car lors <lb/>qu’elle eſt en tenebres, la terre eſt plei-<lb/>ne, c’eſt à dire que le contraire s’obſer-<lb/>ueroit dans la terre. </s> <s xml:id="echoid-s3185" xml:space="preserve">Mais il remarque <lb/>que de la terre l’on nevoid que l’hemiſ-<lb/>phere inferieur de la Lune, au lieu que <lb/>de la Lune l’on verroit toutes les faces <lb/>de la terre; </s> <s xml:id="echoid-s3186" xml:space="preserve">encore qu’elle ne peuſt eſtre <lb/>veuë de tous les endroits de la Lune. <lb/></s> <s xml:id="echoid-s3187" xml:space="preserve">4. </s> <s xml:id="echoid-s3188" xml:space="preserve">ſi le meſme coſté de la Lune regarde <lb/>touſiours la terre, la ligne qui paſſe par <lb/>les centres de la terre & </s> <s xml:id="echoid-s3189" xml:space="preserve">de la Lune paſ-<lb/>ſe par le meſme point de la ſurface de <lb/>la Lune, mais l’on ne void pas la meſme <lb/>face de la Lune quand on eſt ſur la ſur-<lb/>face de la terre, car l’on apperçoit vn <pb o="207" file="00226" n="225" rhead="& Mathematiques."/> peu dauantage de ſa partie Occidenta-<lb/>le, & </s> <s xml:id="echoid-s3190" xml:space="preserve">vn peu moins de l’Orientale, lors <lb/>qu’elle ſe leue, & </s> <s xml:id="echoid-s3191" xml:space="preserve">au contraire quand <lb/>elle ſe couche. </s> <s xml:id="echoid-s3192" xml:space="preserve">Or l’on prouue par les <lb/>lunettes qu’elle paroiſt en cette façon, <lb/>car de 2. </s> <s xml:id="echoid-s3193" xml:space="preserve">macules qu’elle a, l’vne regar-<lb/>de le vent Meſtral, quãd elle eſt en-ſon <lb/>midy, & </s> <s xml:id="echoid-s3194" xml:space="preserve">l’autre luy eſt oppoſee, & </s> <s xml:id="echoid-s3195" xml:space="preserve">elle <lb/>peut eſtre veuë ſans lunettes, comme <lb/>la premiere dont la figure paroiſt en <lb/>ellipſe, ou en ouale, & </s> <s xml:id="echoid-s3196" xml:space="preserve">eſt ſeparée des <lb/>plus grandes macules: </s> <s xml:id="echoid-s3197" xml:space="preserve">or elles paroiſ-<lb/>ſent tantoſt deux ou trois fois plus pro-<lb/>ches, & </s> <s xml:id="echoid-s3198" xml:space="preserve">d’autresfois plus éloignées du <lb/>bord. </s> <s xml:id="echoid-s3199" xml:space="preserve">Il remarque en 5. </s> <s xml:id="echoid-s3200" xml:space="preserve">lieu que la Lu-<lb/>ne reçoit vne plus grande lumiere de la <lb/>terre, quand elle eſt à demy pleine, de <lb/>ſorte que la lumiere reflechie par la ter-<lb/>re eſt cauſe que nous voyons la partie <lb/>de la Lune qui n’eſt point illuminée du <lb/>Soleil. </s> <s xml:id="echoid-s3201" xml:space="preserve">6. </s> <s xml:id="echoid-s3202" xml:space="preserve">ces 2. </s> <s xml:id="echoid-s3203" xml:space="preserve">corps s’eclipſent l’vn <lb/>l’autre reciproquement. </s> <s xml:id="echoid-s3204" xml:space="preserve">7. </s> <s xml:id="echoid-s3205" xml:space="preserve">ſi le corps <lb/>de la Lune eſtoit poly cõme vn miroir, <lb/>elle ne nous paroiſtroit iamais illumi-<lb/>née qu’en vne partie fort petite, com-<lb/>meil eſt ayſé de demonſtrer par la gla-<lb/>ce d’vn miroir cõuexe: </s> <s xml:id="echoid-s3206" xml:space="preserve">c’eſt pourquoy <pb o="208" file="00227" n="226" rhead="Queſtions Phyſiques,"/> les inegalitez de la Lune nous ſeruent <lb/>pour nous la fairevoir en ſes differentes <lb/>illuminations par le moyen d’vne infi-<lb/>nité de plans, qui reflechiſſent la lu-<lb/>miere de tous coſtez. </s> <s xml:id="echoid-s3207" xml:space="preserve">Et parce que l’eau <lb/>que l’on répand ſurvn corps remplit ſes <lb/>pores, & </s> <s xml:id="echoid-s3208" xml:space="preserve">ſes cauitez, & </s> <s xml:id="echoid-s3209" xml:space="preserve">que ſa ſurface <lb/>perd ſes inegalités, nous le voyons plus <lb/>noir, & </s> <s xml:id="echoid-s3210" xml:space="preserve">plus obſcur, comme l’on expe-<lb/>rimente ſur les carreaux illuminez du <lb/>Soleil, ſur leſquels on verſe de l’eau.</s> <s xml:id="echoid-s3211" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3212" xml:space="preserve">En 7. </s> <s xml:id="echoid-s3213" xml:space="preserve">lieu, l’on remarque que la lu-<lb/>miere de la terre reflechie ſur la Lune <lb/>paroiſt beaucoup plus claire 2. </s> <s xml:id="echoid-s3214" xml:space="preserve">ou trois <lb/>iours deuant, qu’apres ſa conjonction <lb/>auec le Soleil, comme l’on experimen-<lb/>te en la regardant vers l’Orient, auant <lb/>que l’Aurore paroiſſe, car elle paroiſt <lb/>mieux qu’à l’Occident: </s> <s xml:id="echoid-s3215" xml:space="preserve">ce qui arriue à <lb/>raiſon de l’hemiſphere terreſtre, qui eſt <lb/>oppoſé à la Lune d’Orient, car ce coſté <lb/>de la terre contient toute l’Aſie, & </s> <s xml:id="echoid-s3216" xml:space="preserve">a <lb/>plus de terre que de mer: </s> <s xml:id="echoid-s3217" xml:space="preserve">mais l’autre <lb/>hemiſphere, qui cõtient le grand Oceã <lb/>Atlantique, eſt oppoſé à la Lune Occi-<lb/>dentale, & </s> <s xml:id="echoid-s3218" xml:space="preserve">l’experience enſeigne que <lb/>la reflexion de l’eau eſt plus foible que <lb/>celle de la terre. </s> <s xml:id="echoid-s3219" xml:space="preserve">D’où l’on ne peut pas <pb o="209" file="00228" n="227" rhead="& Mathematiques."/> conclurre que la Lune ſoit compoſee <lb/>de terre & </s> <s xml:id="echoid-s3220" xml:space="preserve">d’eau, d’autant que la dif-<lb/>ference de ces lumieres peu. </s> <s xml:id="echoid-s3221" xml:space="preserve">arriuer <lb/>pour d’autres raiſons.</s> <s xml:id="echoid-s3222" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3223" xml:space="preserve">En 8. </s> <s xml:id="echoid-s3224" xml:space="preserve">lieu les parties de la Lune les <lb/>plus polies ſont les moins claires, & </s> <s xml:id="echoid-s3225" xml:space="preserve">fõt <lb/>ſes macules, comme l’on remarque aux <lb/>lignes des bords qui ſeparent la partie <lb/>illuminée d’auec l’autre, car les lieux <lb/>où il n’y a point de macules, paroiſſent <lb/>merueilleuſement inegales, & </s> <s xml:id="echoid-s3226" xml:space="preserve">comme <lb/>remplies d’herbes, d’arbres, ou de mõ-<lb/>tagnes, au lieu que les lieux des macu-<lb/>les paroiſſent treſ-egaux.</s> <s xml:id="echoid-s3227" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3228" xml:space="preserve">En 9. </s> <s xml:id="echoid-s3229" xml:space="preserve">lieu, il conclud qu’il n’y a point <lb/>d’habitans dans la Lune, ou que s’il y <lb/>en a qu’ils ſont entierement differens <lb/>d’auec ceux de la terre, à raìſon qu’elle <lb/>eſt differemment illuminée par le So-<lb/>leil, car toute ſa ſurface n’eſt illuminée <lb/>qu’vne fois le mois, durant lequel elle <lb/>a ſes 4. </s> <s xml:id="echoid-s3230" xml:space="preserve">ſaiſons, au lieu que la plus gran-<lb/>de partie de la terre qui eſt illuminéo <lb/>chaque iour, n’a les ſiennes que dans vn <lb/>an. </s> <s xml:id="echoid-s3231" xml:space="preserve">Et puis les Tropiques de la terre <lb/>ſont éloignez de 47. </s> <s xml:id="echoid-s3232" xml:space="preserve">degrez, & </s> <s xml:id="echoid-s3233" xml:space="preserve">ceux <lb/>de la Lune n’ont que 10. </s> <s xml:id="echoid-s3234" xml:space="preserve">degrez, quí <lb/>font la largeur du ventre du Dragon:</s> <s xml:id="echoid-s3235" xml:space="preserve"> <pb o="210" file="00229" n="228" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s3236" xml:space="preserve">finalement l’on n’a iamais obſeruó <lb/>de nuéo dans la Lune, comme dans la <lb/>terre.</s> <s xml:id="echoid-s3237" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div95" type="section" level="1" n="93"> <head xml:id="echoid-head144" xml:space="preserve"><emph style="sc">Qvestion</emph> XLV.</head> <head xml:id="echoid-head145" style="it" xml:space="preserve"><emph style="bf">Qui a-il de remarquable dans le ſecond</emph> <lb/><emph style="bf">Dialogue de Galilée.</emph></head> <p> <s xml:id="echoid-s3238" xml:space="preserve">IL s’efforce de perſuader le mouue-<lb/>ment annuel de la terre dans cette 2. <lb/></s> <s xml:id="echoid-s3239" xml:space="preserve">partie par les raiſons qui ſuiuent, car <lb/>puis qu’il a fallu pour le bien des hom-<lb/>mes que tout l’vniuers, & </s> <s xml:id="echoid-s3240" xml:space="preserve">particuliere-<lb/>mĕt les eſtoiles, & </s> <s xml:id="echoid-s3241" xml:space="preserve">le Soleil enuiſageaſt <lb/>les differentes parties de la terre, il ſem-<lb/>ble qu’il eſt plus raiſonnable qu’elle <lb/>faſſe ſon tour en 24. </s> <s xml:id="echoid-s3242" xml:space="preserve">heures, que de fai-<lb/>re tourner le Soleil, & </s> <s xml:id="echoid-s3243" xml:space="preserve">les eſtoiles en <lb/>meſme temps, puis que le circuit, & </s> <s xml:id="echoid-s3244" xml:space="preserve">le <lb/>chemin de la terre eſt quatorze mille <lb/>fois plus court, & </s> <s xml:id="echoid-s3245" xml:space="preserve">que l’õ ſe mocqueroit <lb/>de celuy qui feroit tourner vne ville <lb/>toute entiere au tour de ſoy, pour en <lb/>voir toutes les maiſons, au lieu de ſe <lb/>tourner ſoy meſme ſur vne tour pour <lb/>la voir.</s> <s xml:id="echoid-s3246" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3247" xml:space="preserve">Dans la 109. </s> <s xml:id="echoid-s3248" xml:space="preserve">page, il remarque que <pb o="211" file="00230" n="229" rhead="& Mathematiques."/> le mouuement des corps eſt ſeulement <lb/>à l’égard des autre; </s> <s xml:id="echoid-s3249" xml:space="preserve">corps qui ſont <lb/>priuez de ce meſme mouuement, & </s> <s xml:id="echoid-s3250" xml:space="preserve"><lb/>qu’ Ariſtote a peruerti cet axiome en <lb/>ſubſtituant que tout ce qui a mouue-<lb/>ment, ſe doit mouuoir ſurvne choſe im-<lb/>mobile; </s> <s xml:id="echoid-s3251" xml:space="preserve">d’où il conclud que le grand <lb/>mouuement qu’ont les aſtres de l’O-<lb/>rient à l’Occident ne peut eſtre appellé <lb/>mouuement à leur égard, mais ſeule-<lb/>ment en le comparãt auec la terre, par-<lb/>ce qu’il ſe fait pour elle ſeule; </s> <s xml:id="echoid-s3252" xml:space="preserve">or elle <lb/>peut ſuppleer tous ces mouuemens en <lb/>ſe tournant elle meſme, & </s> <s xml:id="echoid-s3253" xml:space="preserve">la nature <lb/>cherche touſiours, & </s> <s xml:id="echoid-s3254" xml:space="preserve">ſuit le chemin le <lb/>plus court. </s> <s xml:id="echoid-s3255" xml:space="preserve">Et puis ſi la terre eſtoit im-<lb/>mobile, il faudroit que les aſtres euſſent <lb/>deux mouuen@ĕs contraires en meſme <lb/>temps, à ſçauoir le diurne d’Orient en <lb/>Occident, & </s> <s xml:id="echoid-s3256" xml:space="preserve">le propre d’Occident en <lb/>Orient, lequel ils ont ſeulement en <lb/>mettant la mobilité de la terre: </s> <s xml:id="echoid-s3257" xml:space="preserve">que y <lb/>que l’on luy puiſſe répondre que les <lb/>aſtres qui ſe meuuent plus viſte de meſ-<lb/>me coſté, ont du mouuement à l’égard <lb/>de ceux dont le mouuemĕt eſt plus tar-<lb/>dif, & </s> <s xml:id="echoid-s3258" xml:space="preserve">que ſi l’on ſçauoit toutes les rai-<lb/>ſons que Dieu cognoiſt, & </s> <s xml:id="echoid-s3259" xml:space="preserve">tous les eſ- <pb o="212" file="00231" n="230" rhead="Queſtions Phyſiques,"/> fets & </s> <s xml:id="echoid-s3260" xml:space="preserve">les rencontres qui doiuent eſtre <lb/>dans tout l’vniuers, que l’on iugeroit <lb/>qu’il eſt plus à propos que la terre ſoit <lb/>immobile.</s> <s xml:id="echoid-s3261" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3262" xml:space="preserve">Mais il adiouſte que les plus grands <lb/>cercles, ou ſpheres du monde ſont plus <lb/>de temps à faire leur circuit que les <lb/>moindres, car Saturne fait le ſien en 30. <lb/></s> <s xml:id="echoid-s3263" xml:space="preserve">ans, Iupiter en 12. </s> <s xml:id="echoid-s3264" xml:space="preserve">Mars en 2. </s> <s xml:id="echoid-s3265" xml:space="preserve">le Soleil <lb/>en vn, la Lune dans vn mois; </s> <s xml:id="echoid-s3266" xml:space="preserve">& </s> <s xml:id="echoid-s3267" xml:space="preserve">ſi l’on <lb/>conſidere les ſatellites de Mars, le pre-<lb/>mier fait ſon cours dans 42. </s> <s xml:id="echoid-s3268" xml:space="preserve">heures, le <lb/>2. </s> <s xml:id="echoid-s3269" xml:space="preserve">en trois iours & </s> <s xml:id="echoid-s3270" xml:space="preserve">demy, le 3. </s> <s xml:id="echoid-s3271" xml:space="preserve">en 7. </s> <s xml:id="echoid-s3272" xml:space="preserve">& </s> <s xml:id="echoid-s3273" xml:space="preserve">le <lb/>4. </s> <s xml:id="echoid-s3274" xml:space="preserve">en ſeize. </s> <s xml:id="echoid-s3275" xml:space="preserve">Or la terre ne peut eſtre <lb/>immobile ſans troubler cet ordre, car <lb/>il faut paſſer tout d’vn coup inſques <lb/>aux eſtoiles quiſe meuuent en 24. </s> <s xml:id="echoid-s3276" xml:space="preserve">heu-<lb/>res, au lieu que leur mouuement de-<lb/>uroit eſtre fort tardif, puis que leur <lb/>ſphere eſt beaucoup plus grande que <lb/>celle de Saturne, & </s> <s xml:id="echoid-s3277" xml:space="preserve">conſequemment <lb/>qu’elle deuroit eſtre immobile, de peur <lb/>que l’on ſoit contraint d’auoüer que les <lb/>eſtoiles, qui paſſent par l’équinoctial, <lb/>ſe meuuent treſ - viſte, & </s> <s xml:id="echoid-s3278" xml:space="preserve">que celles qui <lb/>approchent du pole ſe meuuent treſ-<lb/>lentement. </s> <s xml:id="echoid-s3279" xml:space="preserve">Certes ces raiſons ne per-<lb/>ſuadent nullement, dautant qu’il n’ya <pb o="213" file="00232" n="231" rhead="& Mathematiques."/> nulle abſurdité que les aſtres, qui ont <lb/>les plus grandes ſpheres, aillent plus vi-<lb/>ſte; </s> <s xml:id="echoid-s3280" xml:space="preserve">& </s> <s xml:id="echoid-s3281" xml:space="preserve">l’ordre fixe, & </s> <s xml:id="echoid-s3282" xml:space="preserve">permanent qu’ils <lb/>tiennent dans le firmament ſolide, ou <lb/>liquide, ne prouue autre choſe ſinõl’ad-<lb/>mirable ſageſſe de l’Ouurier qui les a ſi <lb/>bien diſpoſez, qu’ils ne peuuent iamais <lb/>abandonner leur rang. </s> <s xml:id="echoid-s3283" xml:space="preserve">L’autre raiſon <lb/>priſe de la facilité qu’il y a de mouuoir <lb/>la terre indifferĕte au repos & </s> <s xml:id="echoid-s3284" xml:space="preserve">au mou-<lb/>uement, puis qu’elle n’a point d’autre <lb/>ſuſpenſion que ſon propre poids, ou <lb/>équilibre, & </s> <s xml:id="echoid-s3285" xml:space="preserve">qu’il n’eſt pas poſſible que <lb/>le premier mobile rauiſſe tous les au-<lb/>tres cieux, que quant & </s> <s xml:id="echoid-s3286" xml:space="preserve">quant il n’é-<lb/>branle la terre, qui n’a nul appuy hors <lb/>de ſoy, ſemble eſtre plus forte; </s> <s xml:id="echoid-s3287" xml:space="preserve">encore <lb/>que l’on puiſſe répõdre que Dieu l’em-<lb/>peſche de ſe mouuoir, & </s> <s xml:id="echoid-s3288" xml:space="preserve">que ſon cĕtre <lb/>affermit tellement toutes ſes parties <lb/>qu’il l@s tient touſiours dans vn meſme <lb/>lieu: </s> <s xml:id="echoid-s3289" xml:space="preserve">& </s> <s xml:id="echoid-s3290" xml:space="preserve">il n’eſt pas plus difficile à Dieu <lb/>derendre chaque partie de la circonfe-<lb/>rence immobile, que le centre.</s> <s xml:id="echoid-s3291" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3292" xml:space="preserve">Iclaiſſe maintenant pluſieurs autres <lb/>choſes, dont il traite dans cc 2. </s> <s xml:id="echoid-s3293" xml:space="preserve">Dialo-<lb/>gue, & </s> <s xml:id="echoid-s3294" xml:space="preserve">dans le 3. </s> <s xml:id="echoid-s3295" xml:space="preserve">& </s> <s xml:id="echoid-s3296" xml:space="preserve">le 4. </s> <s xml:id="echoid-s3297" xml:space="preserve">dautant que<unsure/> <lb/>i’en reſer<unsure/>uele diſcours, & </s> <s xml:id="echoid-s3298" xml:space="preserve">l’examĕ par@ <pb o="214" file="00233" n="232" rhead="Queſtions Phyſiques,"/> ticulier pour vn liure entier, c’eſt pour-<lb/>quoy j’adiouſte ſeulement icy le iuge-<lb/>ment, & </s> <s xml:id="echoid-s3299" xml:space="preserve">la cenſure que les Cardinaux <lb/>ont fait à Rome, de ſon liure, & </s> <s xml:id="echoid-s3300" xml:space="preserve">de ſes <lb/>opinions, afin que nul ne ſe laiſſe ſut-<lb/>prendre dans ces matieres.</s> <s xml:id="echoid-s3301" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div96" type="section" level="1" n="94"> <head xml:id="echoid-head146" xml:space="preserve">COROLLAIRE.</head> <p> <s xml:id="echoid-s3302" xml:space="preserve">Il n’eſt pas neceſlaire d’expliquer icy <lb/>les raiſons pour leſquelles Galilée a eſté <lb/>condamné, tant parce que l’hiſtoire en <lb/>ſeroit trop longue, que parce que la <lb/>ſentence, & </s> <s xml:id="echoid-s3303" xml:space="preserve">le procez qui ſuit en de-<lb/>clare vne partie, comme l’on verra à la <lb/>ſuite du diſcours, qui contient premie-<lb/>rement les noms des Cardinaux qui y <lb/>ont aſſiſté.</s> <s xml:id="echoid-s3304" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div97" type="section" level="1" n="95"> <head xml:id="echoid-head147" style="it" xml:space="preserve">Sentence contre Galilée, & contre ſes Dialo-<lb/>gues du mouuement de la terre.</head> <p> <s xml:id="echoid-s3305" xml:space="preserve">NOus Gaſpar du titre de ſainct@ <lb/>Croix en Ieruſalem, Borgia.</s> <s xml:id="echoid-s3306" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3307" xml:space="preserve">Frere Fœlix Centino du titre de ſainct <lb/>Anaſtaſe dit d Aſcoli.</s> <s xml:id="echoid-s3308" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3309" xml:space="preserve">Guido du titre de ſainte Marie du Peu-<lb/>ple, Bentiuoglio.</s> <s xml:id="echoid-s3310" xml:space="preserve"/> </p> <pb o="215" file="00234" n="233" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s3311" xml:space="preserve">F. </s> <s xml:id="echoid-s3312" xml:space="preserve">Deſiré Scaglia de ſainct Charles, dit <lb/>Cremone.</s> <s xml:id="echoid-s3313" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3314" xml:space="preserve">F. </s> <s xml:id="echoid-s3315" xml:space="preserve">Anthoine Barberin dit de S. </s> <s xml:id="echoid-s3316" xml:space="preserve">Onu-<lb/>phre.</s> <s xml:id="echoid-s3317" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3318" xml:space="preserve">Laudiuius Zacchia du titre de S. </s> <s xml:id="echoid-s3319" xml:space="preserve">Pier-<lb/>re és Liens, dit de S. </s> <s xml:id="echoid-s3320" xml:space="preserve">Sixte.</s> <s xml:id="echoid-s3321" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3322" xml:space="preserve">Berlingerius du titre de S. </s> <s xml:id="echoid-s3323" xml:space="preserve">Auguſtin <lb/>Geſſo.</s> <s xml:id="echoid-s3324" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3325" xml:space="preserve">Fabrice du titre de S. </s> <s xml:id="echoid-s3326" xml:space="preserve">Laurent in pane <lb/>& </s> <s xml:id="echoid-s3327" xml:space="preserve">perna Veroſpi, appellez Preſtres.</s> <s xml:id="echoid-s3328" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3329" xml:space="preserve">François de S. </s> <s xml:id="echoid-s3330" xml:space="preserve">Laurĕt in Damaſo Bar-<lb/>berin, & </s> <s xml:id="echoid-s3331" xml:space="preserve">Martius de Ste Marie neufue <lb/>Ginetto, Di@cres par la miſericorde de <lb/>Dieu, Cardinaux de la ſaincte Egliſe <lb/>Romaine, Inquiſiteurs Generaux de la <lb/>ſaincte Foy Apoſtolique, en toute la <lb/>Republique Chreſtienne, ſpecialemĕt <lb/>deputez contre l’hereſie.</s> <s xml:id="echoid-s3332" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3333" xml:space="preserve">Comme ainſi ſoit que toy Galilée, <lb/>fils de feu Vincent Galilée Florentin <lb/>âgé de 70. </s> <s xml:id="echoid-s3334" xml:space="preserve">ans, as eſté denoncé en ce S. <lb/></s> <s xml:id="echoid-s3335" xml:space="preserve">Office dés l’année 1613. </s> <s xml:id="echoid-s3336" xml:space="preserve">que tu tenois <lb/>pour vraye la fauſſe doctrine enſeignée <lb/>par quelques-vns, à ſçauoir que le So-<lb/>leil eſt le centre du monde, & </s> <s xml:id="echoid-s3337" xml:space="preserve">qu’il eſt <lb/>immobile, & </s> <s xml:id="echoid-s3338" xml:space="preserve">que la terre ſe meut auſſi <lb/>d’vn mouuement journalier; </s> <s xml:id="echoid-s3339" xml:space="preserve">que tu <lb/>auois quelques diſciples auſquels tu <pb o="216" file="00235" n="234" rhead="Queſtions Phyſiques,"/> enſeignois la meſme doctrine; </s> <s xml:id="echoid-s3340" xml:space="preserve">que tou-<lb/>chant la meſme choſe tu entretenois <lb/>correſpondance auce quelques Mathe-<lb/>m@@ciens d’Allemagne: </s> <s xml:id="echoid-s3341" xml:space="preserve">que tu auois <lb/>f<gap/> imp@mer quelques lettres intitu-<lb/>lées, <gap/> du S@l@@l, dans leſquel-<lb/>l@@ tu expliquois la meſme doctrine <lb/>comme vraye: </s> <s xml:id="echoid-s3342" xml:space="preserve">qu’aux obiections ti-<lb/>rées de la ſamcte Eſcriture que quel-<lb/>quefois l’on te faiſoit, tu reſpondois en <lb/>gloſant ladite Eſcriture conformémĕt <lb/>à ton ſentiment: </s> <s xml:id="echoid-s3343" xml:space="preserve">& </s> <s xml:id="echoid-s3344" xml:space="preserve">qu’en ſuite la co-<lb/>pie d’vn écrit en forme de lettre fut <lb/>preſentée, que l’on diſoit auoir eſté eſ-<lb/>@rite par toy à vn certain ton diſciple, <lb/>en laquelle ſuiuant l’expoſition de Co-<lb/>pernic, ſont contenuës diuerſes propo-<lb/>ſitions contre le vray ſens, & </s> <s xml:id="echoid-s3345" xml:space="preserve">l’aurhori-<lb/>té de la ſaincte Eſcriture.</s> <s xml:id="echoid-s3346" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3347" xml:space="preserve">P@@rcc ſuiet le ſainct Office voulant <lb/>pourno@r au deſordre, & </s> <s xml:id="echoid-s3348" xml:space="preserve">au dommage <lb/>qui prouenoit de là, & </s> <s xml:id="echoid-s3349" xml:space="preserve">qui s’alloit aug-<lb/>mentãt au preiudice de la ſaincte Foy. <lb/></s> <s xml:id="echoid-s3350" xml:space="preserve">Par i’ordonnance de ſa Saincteté, & </s> <s xml:id="echoid-s3351" xml:space="preserve"><lb/>des Fminentiſſimes & </s> <s xml:id="echoid-s3352" xml:space="preserve">Reueiendiſſi-<lb/>mes Seig@eurs Cardinaux de cette ſou-<lb/>uerai@e. </s> <s xml:id="echoid-s3353" xml:space="preserve">& </s> <s xml:id="echoid-s3354" xml:space="preserve">vniuet ſelle Inquiſition, les <lb/>deux propoſitions de la ſtabilité du So- <pb o="217" file="00236" n="235" rhead="& Mathematiques."/> leil, & </s> <s xml:id="echoid-s3355" xml:space="preserve">du mouuement de la terre, ont <lb/>eſté qualifiées par les Theologiĕs Qua-<lb/>lificateurs, à ſçauoir,</s> </p> <p> <s xml:id="echoid-s3356" xml:space="preserve">Que cette propoſitiõ, La terre n’cſt point <lb/>le centre du monde, @i immohile, mais elle ſe <lb/>ment, meſme du mouuement iourn@li@@, eſt <lb/>vne propoſition abſurde, & </s> <s xml:id="echoid-s3357" xml:space="preserve">fauſſe en la <lb/>P@iloſophie, & </s> <s xml:id="echoid-s3358" xml:space="preserve">que conſiderée en <lb/>Theologie, elle eſt au moins erronée <lb/>en la Foy.</s> <s xml:id="echoid-s3359" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3360" xml:space="preserve">Mais parce que l’on vouloit alors <lb/>proceder enuers toy auec douceur, il <lb/>fut decreté dans la Congregatiõ tenuë <lb/>en la preſence de ſa Saincteté le 29. </s> <s xml:id="echoid-s3361" xml:space="preserve">de <lb/>Feburier 1616. </s> <s xml:id="echoid-s3362" xml:space="preserve">que l’Eminentiſſime <lb/>Seigneur Cardinal Bellarmin t’enioi-<lb/>gniſt que tu euſſe à quitter entierement <lb/>ladite fauſſe opinion, & </s> <s xml:id="echoid-s3363" xml:space="preserve">qu’au cas que <lb/>tu refuſaſſe de ce faire, le Commiſſaire <lb/>du S. </s> <s xml:id="echoid-s3364" xml:space="preserve">Office te feiſt commandement <lb/>de quitter ladite doctrine, & </s> <s xml:id="echoid-s3365" xml:space="preserve">que tu ne <lb/>continuaſſe plus à l’enſeigner aux au-<lb/>tres, ni à la deffendre, ni à en traiter: <lb/></s> <s xml:id="echoid-s3366" xml:space="preserve">que ſi tu n’aquieſſois à ce commande-<lb/>ment, tu fuſſe mis en priſon, & </s> <s xml:id="echoid-s3367" xml:space="preserve">en exe-<lb/>cution du meſme Decret, le iour ſui-<lb/>uant dans le Palais, & </s> <s xml:id="echoid-s3368" xml:space="preserve">en la preſence <lb/>du ſuſdit Eminentiſſime ſeigneur Car- <pb o="218" file="00237" n="236" rhead="Queſtions Phyſiques,"/> dinal Bellarmin, apres auoir eſté beni-<lb/>gnement aduerti & </s> <s xml:id="echoid-s3369" xml:space="preserve">admoneſté par le <lb/>meſme ſeigneur Cardinal, il te fut fait <lb/>commandement par le Pere Commiſ-<lb/>ſaire du S. </s> <s xml:id="echoid-s3370" xml:space="preserve">Office, qui eſtoit pour lors <lb/>auec vn Notaire, & </s> <s xml:id="echoid-s3371" xml:space="preserve">des teſmoins, que <lb/>tu euſſe à quitter du tout ladite fauſſe <lb/>opiniõ, qu’à l’aduenir tu ne peuſſe plus <lb/>la tenir, ni la deffendre, ny l’enſeigner <lb/>en façon quelconque, ny de viue voix, <lb/>ny par écrit; </s> <s xml:id="echoid-s3372" xml:space="preserve">ce qu’a yant promis tu fus <lb/>licentié. </s> <s xml:id="echoid-s3373" xml:space="preserve">Et afin d’abolir entierement <lb/>vne ſi pernicieuſe doctrine, & </s> <s xml:id="echoid-s3374" xml:space="preserve">d’empeſ-<lb/>cher qu’elle n’allaſt ſe gliſſant plus auãt <lb/>au grand preiudice de la verité Catho-<lb/>lique, il emana vn Decret de la Con-<lb/>gregation de l’Index, par lequel les li-<lb/>ures qui traitent d’vne telle doctrine <lb/>furent deffendus, & </s> <s xml:id="echoid-s3375" xml:space="preserve">cette meſme do-<lb/>ctrine declarée fauſſe, & </s> <s xml:id="echoid-s3376" xml:space="preserve">du tout con-<lb/>traire à la ſaincte Eſcriture.</s> <s xml:id="echoid-s3377" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3378" xml:space="preserve">Et dernierement ayant icy paru vn <lb/>liure imprimé à Florence l’an paſſé, <lb/>dont l’inſcription monſtroit que tu en <lb/>eſtois l’autheur, le titre eſtant tel, Dia-<lb/>logues de Galilée Galilei des deux prin-<lb/>cipaux ſyſtemes du monde Ptolemai-<lb/>que, & </s> <s xml:id="echoid-s3379" xml:space="preserve">Copernique, & </s> <s xml:id="echoid-s3380" xml:space="preserve">en ſuite la ſain- <pb o="219" file="00238" n="237" rhead="& Mathematiques."/> te Congregation eſtant informée que <lb/>par l’impreſſiõ dudit liure la fauſſe opi-<lb/>nion du mouuement de la terre, & </s> <s xml:id="echoid-s3381" xml:space="preserve">de <lb/>l’immobilité du Soleil prenoit plus de <lb/>pied de iour en iour, & </s> <s xml:id="echoid-s3382" xml:space="preserve">s’eſtendoit de <lb/>plus en plus; </s> <s xml:id="echoid-s3383" xml:space="preserve">apres que ledit liure fut di-<lb/>ligemmĕt conſideré, l’on y trouua l’ex-<lb/>preſſe tranſgreſſion du ſuſdit comman-<lb/>dement, qui t’auoit eſté fait, le meſme <lb/>liure deffendu continuant ladite opi-<lb/>nion deſia cõdamnée, & </s> <s xml:id="echoid-s3384" xml:space="preserve">declarée pour <lb/>telle en ta preſence, encore que tu t’ef-<lb/>forces dans ledit liure de perſuader par <lb/>differentes raiſons que tu la laiſſe, com-<lb/>me indeterminée, & </s> <s xml:id="echoid-s3385" xml:space="preserve">expreſſément pro-<lb/>bable, ce qui ſemble vn erreur (vne <lb/>opinion declarée, & </s> <s xml:id="echoid-s3386" xml:space="preserve">definie pour con-<lb/>traire à la ſainte Eſcriture, ne pouuant <lb/>en nulle façon eſtre probable)</s> </p> <p> <s xml:id="echoid-s3387" xml:space="preserve">Et pour ce ſuiet par noſtre ordõnan-<lb/>cetu as eſté appellé à ce S. </s> <s xml:id="echoid-s3388" xml:space="preserve">Office, où <lb/>apres ton ſerment eſtant examiné tu as <lb/>reconnu que tu as compoſé, & </s> <s xml:id="echoid-s3389" xml:space="preserve">fait im-<lb/>primer le liure, & </s> <s xml:id="echoid-s3390" xml:space="preserve">as confeſſé qu’il y a <lb/>enuiron 10. </s> <s xml:id="echoid-s3391" xml:space="preserve">ou 12. </s> <s xml:id="echoid-s3392" xml:space="preserve">ans, qu’aprez que <lb/>l’on t’eut fait le ſuſdit commãdement, <lb/>tu cõmenças à écrire ledit liure, lequel <lb/>@u as demādé congé de faire imprimer, <pb o="220" file="00239" n="238" rhead="Queſtions Phyſiques,"/> ſans toutesfois notifier à ceux qui t’ont <lb/>donné cette licence, que tu auois com-<lb/>mandement de ne point tenir, ni en-<lb/>ſeigner en aucune maniere vne tello <lb/>doctrine.</s> <s xml:id="echoid-s3393" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3394" xml:space="preserve">Tu as pareillement confeſſé que ce <lb/>qui eſt contenu audit liure eſt tellemĕt <lb/>deffendu en pluſieurs lieux que le le-<lb/>cteur peut ſe former cette penſee que <lb/>les argumens rapportez pour la partie <lb/>fauſſe eſtant deduis, & </s> <s xml:id="echoid-s3395" xml:space="preserve">cnoncez en tel-<lb/>le maniere, ils ſont plus puiſſans pour <lb/>conuaincre, que faciles à ſoudre, t’ex-<lb/>cuſant d’eſtre tombé en cet erreur (ſi <lb/>éloigné comme tu @s dit) de ton inten-<lb/>tion, pout au oir écrit en forme de dia-<lb/>logues, & </s> <s xml:id="echoid-s3396" xml:space="preserve">par la naturelle complaiſan-<lb/>ce que chacun a en ſes propres ſubtili-<lb/>tez, & </s> <s xml:id="echoid-s3397" xml:space="preserve">à ſe faire paroiſtre plus ſubtil que <lb/>le commun des hommes, & </s> <s xml:id="echoid-s3398" xml:space="preserve">meſmes à <lb/>trouuer des diſcours ingenieux, & </s> <s xml:id="echoid-s3399" xml:space="preserve">des <lb/>raiſonnemens probables en apparence, <lb/>pour appuyer des propoſitions fauſſes.</s> <s xml:id="echoid-s3400" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3401" xml:space="preserve">Et t’ayant eſté determiné vn temps <lb/>conuenable pour faire tes deffences, <lb/>tu as produit vne Atteſtation écrite de <lb/>la main de l’Eminentiſſime Cardinal <lb/>B@llarmin que tu auois procurée, com- <pb o="221" file="00240" n="239" rhead="& Mathematiques."/> me tu as dit, pour te deffendre des ca-<lb/>lomnies de tes ennemis, qui diſoient <lb/>que tu auois fait vne abjuration, & </s> <s xml:id="echoid-s3402" xml:space="preserve">que <lb/>tu auois eſté penitentié par le S. </s> <s xml:id="echoid-s3403" xml:space="preserve">Office; <lb/></s> <s xml:id="echoid-s3404" xml:space="preserve">par laqueile atteſtation il eſt dit que tu <lb/>n’auois fait aucune abjuration, & </s> <s xml:id="echoid-s3405" xml:space="preserve">que <lb/>tu n’auois point auſſi eſté penitencié, <lb/>mais que l’on t’auoit ſeulemĕt pronon-<lb/>cé la declaration faite par ſa Saincteté, <lb/>& </s> <s xml:id="echoid-s3406" xml:space="preserve">publiée par la Sacrée Congregation <lb/>de l’Index, dãs laquelle il eſt porté que <lb/>la doctrine du mouuement de la terre, <lb/>& </s> <s xml:id="echoid-s3407" xml:space="preserve">de l’immobilité du Soleil eſt contrai-<lb/>re aux ſaintes Eſcritures, partant qu’el-<lb/>le ne ſe peut deffendre, ni tenir, & </s> <s xml:id="echoid-s3408" xml:space="preserve">que <lb/>par conſequent n’y eſtant faite aucune <lb/>mention des deux parties du comman-<lb/>dement, à ſçauoir docere, & </s> <s xml:id="echoid-s3409" xml:space="preserve">quouis modo, <lb/>l’on doit croire que dans le cours de 14. </s> <s xml:id="echoid-s3410" xml:space="preserve"><lb/>ou 16. </s> <s xml:id="echoid-s3411" xml:space="preserve">ans tu en auois perdu toute me-<lb/>moire, & </s> <s xml:id="echoid-s3412" xml:space="preserve">que pour la meſme raiſon tu <lb/>auois teu le commandement, quand tu <lb/>as demandé la licence de pouuoir faire <lb/>imprimer le liure, & </s> <s xml:id="echoid-s3413" xml:space="preserve">que tu diſois tout <lb/>cela, non pour excuſer ta faute, mais <lb/>afin que l’on ne l’attribuë nõ à vne ma-<lb/>lice, mais à vn@ ambition.</s> <s xml:id="echoid-s3414" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3415" xml:space="preserve">Mais tu es demeuré plus chargé par <pb o="222" file="00241" n="240" rhead="Queſtions Phyſiques,"/> l’atteſtation que tu as produite pour ta <lb/>deffence, puis qu’il eſt porté par icelle <lb/>que ladite opinion eſt contraire à la <lb/>ſaincte Eſcriture, tu as neantmoins oſé <lb/>en traiter, & </s> <s xml:id="echoid-s3416" xml:space="preserve">la deffendre comme pro-<lb/>bable, la licence que tu as extor quée <lb/>auec artifice, & </s> <s xml:id="echoid-s3417" xml:space="preserve">fineſſe, ne te peut eſtre <lb/>fauorable, n’ayant pas notifié le com-<lb/>mandement que tu auois.</s> <s xml:id="echoid-s3418" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3419" xml:space="preserve">Et nous eſtant auis que tu n’auois pas <lb/>dit entierement la verité touchant ton <lb/>intention, nous iugeaſines qu’il eſtoit <lb/>neceſſaire de proceder contre toy à l’e-<lb/>xamen rigoureux, auquel ſans aucun <lb/>preiudice des choſes par toy cõfeſſées, <lb/>& </s> <s xml:id="echoid-s3420" xml:space="preserve">deduites contre toy, comme cy deſ-<lb/>ſus, tu as répondu catholiquement ſe-<lb/>lon ta dite intention.</s> <s xml:id="echoid-s3421" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3422" xml:space="preserve">Partant veu meurement, & </s> <s xml:id="echoid-s3423" xml:space="preserve">examiné <lb/>l’importance de cette tiĕne cauſe auec <lb/>teſdires confeſſions & </s> <s xml:id="echoid-s3424" xml:space="preserve">excuſes, & </s> <s xml:id="echoid-s3425" xml:space="preserve">tel-<lb/>le que l’on deuoit raiſonnablement <lb/>voir, & </s> <s xml:id="echoid-s3426" xml:space="preserve">conſiderer, nous auons proce-<lb/>dé contre toy à la ſentence definitiue <lb/>eſcrite cy apres.</s> <s xml:id="echoid-s3427" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3428" xml:space="preserve">A yant done inuoqué le Treſ-ſainct <lb/>nom de noſtre Seigneur Ieſus-Chriſt, <lb/>& </s> <s xml:id="echoid-s3429" xml:space="preserve">de la treſ-glorieuſe Mere touſiours <pb o="223" file="00242" n="241" rhead="& Mathematiques."/> Vierge Marie, par cette noſtre ſenten-<lb/>ce deffinitiue, laquelle ſeansicy en no-<lb/>ſtre Tribunal, du conſeil & </s> <s xml:id="echoid-s3430" xml:space="preserve">aduis des R. <lb/></s> <s xml:id="echoid-s3431" xml:space="preserve">P. </s> <s xml:id="echoid-s3432" xml:space="preserve">Maiſtres en la ſaincte Theologie, & </s> <s xml:id="echoid-s3433" xml:space="preserve"><lb/>Docteurs de l’vn & </s> <s xml:id="echoid-s3434" xml:space="preserve">l’autre droit nos <lb/>Conſulteurs, nous proferõs en ces écri-<lb/>tures en la cauſe & </s> <s xml:id="echoid-s3435" xml:space="preserve">és cauſes agitécs <lb/>pardeuãt nous entre l’honorable Char-<lb/>les Syncero Docteur de l’vn, & </s> <s xml:id="echoid-s3436" xml:space="preserve">l’autre <lb/>droit, Procureur Fiſcal de ce ſainct Of-<lb/>ſice d’vne part, & </s> <s xml:id="echoid-s3437" xml:space="preserve">toy Galilée Galilei <lb/>ſuſdit coupable icy preſenté, interrogé, <lb/>pourſuiuy, & </s> <s xml:id="echoid-s3438" xml:space="preserve">confeſſé comme deſſus <lb/>de l’autre. </s> <s xml:id="echoid-s3439" xml:space="preserve">Nous diſons, prononçons, <lb/>& </s> <s xml:id="echoid-s3440" xml:space="preserve">decernõs, quc toy calilée ſuſdit pour <lb/>les choſes deduites au procez, & </s> <s xml:id="echoid-s3441" xml:space="preserve">par toy <lb/>confeſſées comme deſſus, t’es rend@ <lb/>grandement ſuſpect d’hereſie à ce S. </s> <s xml:id="echoid-s3442" xml:space="preserve"><lb/>Office, à ſçauoir d’auoir tenu, & </s> <s xml:id="echoid-s3443" xml:space="preserve">creu <lb/>la doctrine fauſſe, & </s> <s xml:id="echoid-s3444" xml:space="preserve">cõtraire aux ſain-<lb/>tes & </s> <s xml:id="echoid-s3445" xml:space="preserve">diuines Eſcritures, que le Soleil <lb/>eſt le centre du monde, & </s> <s xml:id="echoid-s3446" xml:space="preserve">qu’il ne ſe <lb/>meut pas d’Orient en Occident, & </s> <s xml:id="echoid-s3447" xml:space="preserve">que <lb/>la terre ſe meut, & </s> <s xml:id="echoid-s3448" xml:space="preserve">n’eſt pas le centre <lb/>du monde, & </s> <s xml:id="echoid-s3449" xml:space="preserve">que l’õ peut tenir & </s> <s xml:id="echoid-s3450" xml:space="preserve">def-<lb/>fendre pour probable vne opiniõ apres <lb/>auoir eſté declarée, & </s> <s xml:id="echoid-s3451" xml:space="preserve">definie pour con-<lb/>traire à l’Eſcriture ſaincte, & </s> <s xml:id="echoid-s3452" xml:space="preserve">qu’en ſui- <pb o="224" file="00243" n="242" rhead="Queſtions Phyſiques,"/> te tu as encouru toutes les cenſures, & </s> <s xml:id="echoid-s3453" xml:space="preserve"><lb/>peines des ſacrez Canons, & </s> <s xml:id="echoid-s3454" xml:space="preserve">autres <lb/>conſtitutions generales, & </s> <s xml:id="echoid-s3455" xml:space="preserve">patt@culieres <lb/>impoſées, & </s> <s xml:id="echoid-s3456" xml:space="preserve">promulg@ées contre ſem-<lb/>blables delinquans, dont nous con-<lb/>ſentõs que tu ſois abſous, pourueu que <lb/>tu abiure, & </s> <s xml:id="echoid-s3457" xml:space="preserve">maudiſſe, & </s> <s xml:id="echoid-s3458" xml:space="preserve">deteſte de-<lb/>uant nous auec vn cœur ſincere, & </s> <s xml:id="echoid-s3459" xml:space="preserve">vne <lb/>foy non <gap/>e les ſuſdites erreurs, & </s> <s xml:id="echoid-s3460" xml:space="preserve"><lb/>hereſies, & </s> <s xml:id="echoid-s3461" xml:space="preserve">toute autre erreur, & </s> <s xml:id="echoid-s3462" xml:space="preserve">here-<lb/>ſie contraire à l’Egliſe Apoſtolique & </s> <s xml:id="echoid-s3463" xml:space="preserve"><lb/>Catholique, en la maniere & </s> <s xml:id="echoid-s3464" xml:space="preserve">en la for-<lb/>me que nous te donnerons.</s> <s xml:id="echoid-s3465" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3466" xml:space="preserve">Et afin que ceſte grande erreur, & </s> <s xml:id="echoid-s3467" xml:space="preserve"><lb/>cette tranſgreſſion que tu as commis <lb/>ne demeure pas entierement impunie, <lb/>& </s> <s xml:id="echoid-s3468" xml:space="preserve">que tu ſois plus aduiſé à l’aduenir, & </s> <s xml:id="echoid-s3469" xml:space="preserve"><lb/>que tu ſerue d’exemple aux auttes, afin <lb/>qu’ils s’abſtiennent de ſemblables fau-<lb/>tes, Nous ordonnons que par vn Edit <lb/>public, le liure des Dialogues de Gali-<lb/>lée Galilei ſoit deffendu, te condam-<lb/>nons aux priſons formelles de ce noſtrc <lb/>ſainct Office po@r le temps qu’il nous <lb/>plaira, & </s> <s xml:id="echoid-s3470" xml:space="preserve">pour penitence ſalutaire t’im-<lb/>poſons que durant les trois années ſui-<lb/>uantes tu die vne fois la ſemaine les 7. <lb/></s> <s xml:id="echoid-s3471" xml:space="preserve">Pſeaumes Penitentiels, nous reſeruans <pb o="225" file="00244" n="243" rhead="& Mathematiques."/> le pouuoir de moderer, changer, & </s> <s xml:id="echoid-s3472" xml:space="preserve">le-<lb/>uer du tout, ou en partie les peines, & </s> <s xml:id="echoid-s3473" xml:space="preserve"><lb/>penitences ſuſdites. </s> <s xml:id="echoid-s3474" xml:space="preserve">Et ainſi diſons, <lb/>prononçons, decernons, declarons, or-<lb/>donnons, condamnons, & </s> <s xml:id="echoid-s3475" xml:space="preserve">reſeruons en <lb/>ceſte, & </s> <s xml:id="echoid-s3476" xml:space="preserve">en toute autre meilleure ma-<lb/>niere, & </s> <s xml:id="echoid-s3477" xml:space="preserve">forme que de raiſon nous pou-<lb/>uons, & </s> <s xml:id="echoid-s3478" xml:space="preserve">deuons, <emph style="bf">Ita pronunciamus nos</emph> <lb/><emph style="bf">Cardinalcs infraſcripti.</emph></s> </p> <p> <s xml:id="echoid-s3479" xml:space="preserve"><emph style="bf">Fr. Cardinalis de Aſculo.</emph></s> </p> <p> <s xml:id="echoid-s3480" xml:space="preserve"><emph style="bf">G. Gardinalis Bentiuolus.</emph></s> </p> <p> <s xml:id="echoid-s3481" xml:space="preserve"><emph style="bf">Fr. D. Cardinalis de Cremona.</emph></s> </p> <p> <s xml:id="echoid-s3482" xml:space="preserve"><emph style="bf">Fr. Ant. Cardinalis S. Onofrij.</emph></s> </p> <p> <s xml:id="echoid-s3483" xml:space="preserve"><emph style="bf">B. Cardinalis Gypſius.</emph></s> </p> <p> <s xml:id="echoid-s3484" xml:space="preserve"><emph style="bf">F. Cardinalis Veroſpius.</emph></s> </p> <p> <s xml:id="echoid-s3485" xml:space="preserve"><emph style="bf">M. Cardinalis Gineſtus.</emph></s> </p> <p> <s xml:id="echoid-s3486" xml:space="preserve">Ie Galilée fils de feu Vincent Galilet <lb/>âgé de 70. </s> <s xml:id="echoid-s3487" xml:space="preserve">ans, conſtitué perſonnelle-<lb/>ment en iugement, & </s> <s xml:id="echoid-s3488" xml:space="preserve">agenoüillé de-<lb/>uant vous Eminentiſſimes, & </s> <s xml:id="echoid-s3489" xml:space="preserve">Reuerĕ-<lb/>diſſimes Seigneurs Cardinaux Inquiſi-<lb/>teurs Generaux en toute la Republi-<lb/>que Chreſtienne contre la malignité <lb/>heretique, ayant deuant mes yeux les <lb/>Sacro ſaincts Euãgiles, leſquels ie tou-<lb/>che de mes propres mains, iure que i’ay <lb/>touſiours creu, crois maintenant, & </s> <s xml:id="echoid-s3490" xml:space="preserve"><lb/>moyennant l’ayde de Dieu croiray à <pb o="226" file="00245" n="244" rhead="Queſtions Phyſiques,"/> l’aduenir tout ce que la ſaincte Egliſe <lb/>Catholique, Apoſtolique, & </s> <s xml:id="echoid-s3491" xml:space="preserve">Romai-<lb/>ne tient, preſche, & </s> <s xml:id="echoid-s3492" xml:space="preserve">enſeigne: </s> <s xml:id="echoid-s3493" xml:space="preserve">mais dau-<lb/>tant que par ce ſainct Office, pour auoir <lb/>dit qu’il n’auoit eſté de ſa part meſme <lb/>iuridiquement inthimé auec comman-<lb/>dement que i’euſſe à quiter entieremĕt <lb/>la fauſſe opinion, que le Soleil eſt le <lb/>centre du monde, & </s> <s xml:id="echoid-s3494" xml:space="preserve">qu’il ne ſe mcut <lb/>point, & </s> <s xml:id="echoid-s3495" xml:space="preserve">que i’euſſe à ne point tenir, ny <lb/>deffendre, ny enſeigner en façon quel-<lb/>conque, ny de viue voix, ny par écrit <lb/>ladite fauſſe doctrine, & </s> <s xml:id="echoid-s3496" xml:space="preserve">dit qu’il m’a-<lb/>uoit eſté notifié que ladite doctrine eſt <lb/>contraire à la ſaincte Eſcriture, & </s> <s xml:id="echoid-s3497" xml:space="preserve">fait <lb/>imprimer vn liure, dans lequelie traite <lb/>la meſme doctrine deſia condamnée, & </s> <s xml:id="echoid-s3498" xml:space="preserve"><lb/>apporte des raisõs auec beaucoup d’ef-<lb/>ficace en ſa faueur, ſans donner aucune <lb/>ſolution, i’ay eſté iugé grandement ſuſ-<lb/>pect d’hereſie, à ſçauoir d’auoir tenu, & </s> <s xml:id="echoid-s3499" xml:space="preserve"><lb/>creu que le Soleil eſt le centre du mon-<lb/>de, & </s> <s xml:id="echoid-s3500" xml:space="preserve">immobile, & </s> <s xml:id="echoid-s3501" xml:space="preserve">que la terre n’eſt <lb/>point le centre, & </s> <s xml:id="echoid-s3502" xml:space="preserve">qu’elle ſe meut.</s> <s xml:id="echoid-s3503" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3504" xml:space="preserve">Partant voulant oſter de l’eſprit de <lb/>vos Eminĕces, & </s> <s xml:id="echoid-s3505" xml:space="preserve">de tout fidelle Chre-<lb/>ſtien ce vehement ſoupçon, raiſonna-<lb/>blement conçeu contre moy, Ieiure, ie <pb o="227" file="00246" n="245" rhead="& Mathematiques."/> deteſte, & </s> <s xml:id="echoid-s3506" xml:space="preserve">maudis d’vn cœur ſincere, & </s> <s xml:id="echoid-s3507" xml:space="preserve"><lb/>d’vne foy nõfeinte les ſuſdites erreurs, <lb/>& </s> <s xml:id="echoid-s3508" xml:space="preserve">hereſies, & </s> <s xml:id="echoid-s3509" xml:space="preserve">generalement routes & </s> <s xml:id="echoid-s3510" xml:space="preserve"><lb/>chacune autre erreur, hereſie, & </s> <s xml:id="echoid-s3511" xml:space="preserve">ſecte <lb/>contraire à la ſuſdite Ste Egliſe, & </s> <s xml:id="echoid-s3512" xml:space="preserve">iure <lb/>qu’à l’aduenir ie ne diray ny n’affirme-<lb/>ray plus iamais de voix, ou par eſcrit <lb/>telles choſes, à raiſon deſquelles on <lb/>puiſſe auoir vn ſemblable ſoupçon de <lb/>moy. </s> <s xml:id="echoid-s3513" xml:space="preserve">Que pluſtoſt ſiie viens à connoi-<lb/>ſtre quelque heretique, ou quelqu’vn <lb/>qui en ſoir ſuſpect, ie le dénonceray à <lb/>ce ſainct Office, ou bien à l’Inquiſiteur, <lb/>ou à l’ordinaire du lieu où il ſera. </s> <s xml:id="echoid-s3514" xml:space="preserve">Ie iu-<lb/>re auſſi, & </s> <s xml:id="echoid-s3515" xml:space="preserve">promets d’accomplir, & </s> <s xml:id="echoid-s3516" xml:space="preserve">gat-<lb/>der entierement toutes les penitences <lb/>qui m’ont eſté, ou meſeront impoſees <lb/>par ce S. </s> <s xml:id="echoid-s3517" xml:space="preserve">Office. </s> <s xml:id="echoid-s3518" xml:space="preserve">Etauant que ie con-<lb/>treuienne à aucune de meſdites pro-<lb/>meſſes & </s> <s xml:id="echoid-s3519" xml:space="preserve">iuremens (ce que Dieu ne <lb/>vueille) ie me ſouſmets à toutes les pei-<lb/>nes, & </s> <s xml:id="echoid-s3520" xml:space="preserve">les punitions, qui ſont impoſées, <lb/>& </s> <s xml:id="echoid-s3521" xml:space="preserve">promulguées par les ſacrez Canons, <lb/>& </s> <s xml:id="echoid-s3522" xml:space="preserve">autres Conſtitutions generales, & </s> <s xml:id="echoid-s3523" xml:space="preserve"><lb/>patticulieres contre ſemblables delin-<lb/>quans. </s> <s xml:id="echoid-s3524" xml:space="preserve">Ainſi Dieu m’aſſiſte, & </s> <s xml:id="echoid-s3525" xml:space="preserve">ceſont <lb/>les ſainctes Euangiles que ie touche.</s> <s xml:id="echoid-s3526" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3527" xml:space="preserve">Ie Galilée Galilei ſuſdit ay abjuré, <pb o="228" file="00247" n="246" rhead="Queſtions Phyſiques,"/> iuré, promis, & </s> <s xml:id="echoid-s3528" xml:space="preserve">me ſuis obligé comme <lb/>deſſus, & </s> <s xml:id="echoid-s3529" xml:space="preserve">en témoignage de la ve<unsure/>rité, <lb/>P<unsure/>ay ſouſcrit de ma propre main la pre-<lb/>ſente cedule de mon abiuration, & </s> <s xml:id="echoid-s3530" xml:space="preserve"><lb/>l’ay recitée de mot à mot à Rome dans <lb/>le Conuent de la Mineure ce iourd’huy <lb/>22. </s> <s xml:id="echoid-s3531" xml:space="preserve">de Iuin 1633.</s> <s xml:id="echoid-s3532" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3533" xml:space="preserve">Ie Galilée Galilei ay abiuré comme <lb/>deſſus de ma propre main.</s> <s xml:id="echoid-s3534" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div98" type="section" level="1" n="96"> <head xml:id="echoid-head148" xml:space="preserve"><emph style="sc">Qvestion</emph> XLVI.</head> <head xml:id="echoid-head149" style="it" xml:space="preserve">A ſçauoir ſi la Nature & les ſens ſe plaiſent <lb/>à la varieté, & à la diuerſité des ob-<lb/>iects, & pour quelles raiſons elle <lb/>y prend plaiſir.</head> <p> <s xml:id="echoid-s3535" xml:space="preserve">BIen que cette queſtion ſemble n’a-<lb/>uoir pas beſoin d’eſtre prouuée cõ-<lb/>me eſtant concedée de toutle monde, <lb/>meantmoins elle eſt plus difficile que <lb/>pluſieurs ne ſe l’imaginent, car la raiſon <lb/>n’en eſt pas connue; </s> <s xml:id="echoid-s3536" xml:space="preserve">c’eſt pourquoy le <lb/>temps qui ſera employé à l’expliquer, <lb/>ne ſera pas perdu, pourueu que nous <lb/>puiſſions produire les raiſons, & </s> <s xml:id="echoid-s3537" xml:space="preserve">les cau-<lb/>ſes de ſa verité, puis qu’elle eſt l’vn des <pb o="229" file="00248" n="247" rhead="& Mathematiques."/> principaux fondemens de la compoſi-<lb/>tion de Muſique, & </s> <s xml:id="echoid-s3538" xml:space="preserve">de l’att que les <lb/>Grecs appellent Melopoée. </s> <s xml:id="echoid-s3539" xml:space="preserve">Or cette <lb/>propoſition ſignifie preſque vne meſme <lb/>choſe que ce qui ſe dit aux écoles, Na-<lb/>tura diuerſo gaudet. </s> <s xml:id="echoid-s3540" xml:space="preserve">Mais on peut parler <lb/>de la nature en pluſieurs manieres, car <lb/>elle ſe prĕd quelquefois pour celuy qui <lb/>a fait la nature, c’eſt à dire pour l’Au-<lb/>theur de l’vniuers, & </s> <s xml:id="echoid-s3541" xml:space="preserve">eſt appellée dans <lb/>les écoles Nature Naturante, cõme tout <lb/>ce qui a eſté fait, eſt appellé Nature Na-<lb/>turée: </s> <s xml:id="echoid-s3542" xml:space="preserve">D’autreſois elle ſe prend pour <lb/>l’eſſence de chaque choſe, particuliere-<lb/>ment pour celle de l’homme qui eſt <lb/>l’abregé du monde, & </s> <s xml:id="echoid-s3543" xml:space="preserve">qui contient la <lb/>nature intellectuelle, la ſenſitiue, & </s> <s xml:id="echoid-s3544" xml:space="preserve">la <lb/>vegetante.</s> <s xml:id="echoid-s3545" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3546" xml:space="preserve">Sinous parlons de la nature qui ſigni-<lb/>ſie l’Autheur de l’vniuers, c’eſt choſe <lb/>aſſeurée qu’il ſe plaiſt à la diuerſité, puis <lb/>qu’il a fait toutes les differances des <lb/>eſtres, & </s> <s xml:id="echoid-s3547" xml:space="preserve">des natures qui compoſent les <lb/>cieux, & </s> <s xml:id="echoid-s3548" xml:space="preserve">les elemens, car il ne peut fai-<lb/>re que ce qu’il luy plaiſt: </s> <s xml:id="echoid-s3549" xml:space="preserve">De là vient <lb/>que nous pouuons meriter la vie erer-<lb/>nelle par le plaiſir que nous prenons à <lb/>contempler toutes les richeſſes & </s> <s xml:id="echoid-s3550" xml:space="preserve">les <pb o="230" file="00249" n="248" rhead="Queſtions Phyſiques,"/> diuerſitez qui ſontau monde, ſi toutes-<lb/>fois nous le rapportons à celuy de Dieu, <lb/>& </s> <s xml:id="echoid-s3551" xml:space="preserve">ſi nous le conformons à celuy duquel <lb/>le noſtre eſt l’image.</s> <s xml:id="echoid-s3552" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3553" xml:space="preserve">Si nous prenons la nature pour l’eſ-<lb/>ſence, ou les facultez de chaque choſe, <lb/>il n’y a que celles qui ont du ſentiment, <lb/>ou la vie ſenſitiue, qui puiſſent recenoir <lb/>du plaiſir. </s> <s xml:id="echoid-s3554" xml:space="preserve">Nous ne ſçauons pas meſme <lb/>ſi les oyſeaux, & </s> <s xml:id="echoid-s3555" xml:space="preserve">les autres animaux qui <lb/>n’ont que l’ame ſenſitiue, prennent du <lb/>plaiſir à ce qu’ils font à propremĕt par-<lb/>ler; </s> <s xml:id="echoid-s3556" xml:space="preserve">car il ſemble que le plaiſir conſiſte <lb/>en la reſlexion que fait l’eſprit ſur les <lb/>operations des ſens, qui luy ſont agrea-<lb/>bles & </s> <s xml:id="echoid-s3557" xml:space="preserve">qu’il ſoit beſoin de quelque li-<lb/>berté, ſi on veut que l’action ou la paſ. <lb/></s> <s xml:id="echoid-s3558" xml:space="preserve">ſion ſoit plaiſante, car ſi nous eſtions <lb/>contraints de mãger, de flairer les bon-<lb/>nes odeurs, ou d’entendre la Muſique, <lb/>ces actions contraintes ſe cõuertiroient <lb/>en déplaiſirs. </s> <s xml:id="echoid-s3559" xml:space="preserve">Non que l<unsure/>e veuille icy <lb/>determiner ſi les oyſeaux ont du plaiſir <lb/>à chanter, & </s> <s xml:id="echoid-s3560" xml:space="preserve">les autres animaux à ſe <lb/>joüer enſemble, ou s’ils en ont, quel il <lb/>peut eſtre, dautant que cette difficulté <lb/>merite vn trai<unsure/>cté particulier; </s> <s xml:id="echoid-s3561" xml:space="preserve">il me ſuf-<lb/>fit de dire ſeulement qu’ils ne ſont pas <pb o="231" file="00250" n="249" rhead="& Mathematiques."/> contraints à faire ce qu’ils font encore <lb/>qu’ils le faſſent neceſſairement: </s> <s xml:id="echoid-s3562" xml:space="preserve">car le <lb/>roſſignol, par exemple, ne peut quitter <lb/>ſon chant, s’il n’arriue quelque choſe <lb/>de nouueau qui le neceſſite de ceſſer: <lb/></s> <s xml:id="echoid-s3563" xml:space="preserve">& </s> <s xml:id="echoid-s3564" xml:space="preserve">ne peut commencer, s’il ne reſſant <lb/>quelque aiguillon, dont il eſt tellemĕt <lb/>picqué, qu’il ne peut y reſiſter, ſembla-<lb/>ble aux fleurs@ qui s’ouurent neceſſaire-<lb/>ment à la preſence du Soleil, & </s> <s xml:id="echoid-s3565" xml:space="preserve">qui ſe <lb/>ferment en ſon abſence; </s> <s xml:id="echoid-s3566" xml:space="preserve">autiement il <lb/>faudroit aduoüer que les beſtes ſeroièt <lb/>libres en leurs actions, ce qui n’appar-<lb/>rient qu’à la nature intellectuelle & </s> <s xml:id="echoid-s3567" xml:space="preserve">rai-<lb/>ſonnable, qui porte la reſſemblance de <lb/>la liberté Diuine, & </s> <s xml:id="echoid-s3568" xml:space="preserve">qui par la preroga-<lb/>t@ue de ſa liberté eſt auſſi éloignée de <lb/>l’imperſection des animaux, que le ciel <lb/>eſt éloigné de la terre. </s> <s xml:id="echoid-s3569" xml:space="preserve">Par conſequent <lb/>on peut dire que le roſſignol, ou les au-<lb/>tres oyſeaux ne peuuent reſiſter à la <lb/>douceu@, & </s> <s xml:id="echoid-s3570" xml:space="preserve">au charme des voix & </s> <s xml:id="echoid-s3571" xml:space="preserve">des <lb/>luths, qu’ils ſuiuent dans les bois, ou <lb/>ailleurs, dõt ils ſont auſſi puiſſammĕtou <lb/>du moins auſſineceſſairemĕt attirésque <lb/>les carroſſes le ſont par les cheuaux quí <lb/>les meinent: </s> <s xml:id="echoid-s3572" xml:space="preserve">Ce qu’il faut encore con-<lb/>clurre des autres objects, auſquels ſe <pb o="232" file="00251" n="250" rhead="Queſtions Phyſiques,"/> portent, ou pluſtoſt ſont portez les ani-<lb/>maux, qui ſuiuent ce qui leur eſt conue-<lb/>nable, comme le fer ſuit l’aymant. </s> <s xml:id="echoid-s3573" xml:space="preserve">Ce <lb/>qui n’eſt pas de meſme en la nature rai-<lb/>ſonnable, qui a vn contentement plein <lb/>de liberté, & </s> <s xml:id="echoid-s3574" xml:space="preserve">à qui ie veux appliquer <lb/>cette propoſition, car c’eſt pour les hõ-<lb/>mes que i’écris de la muſique, biĕ qu’el-<lb/>le face de grands effects ſur les autres <lb/>choſes animées, & </s> <s xml:id="echoid-s3575" xml:space="preserve">inanimées, comme <lb/>i’av dit & </s> <s xml:id="echoid-s3576" xml:space="preserve">demonſtré aux autres liures.</s> <s xml:id="echoid-s3577" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3578" xml:space="preserve">Ce que nous cerchons donc, ce ſont <lb/>les raiſons pourquoi nous nous plaiſons <lb/>à la diuerſité des ob@ects, & </s> <s xml:id="echoid-s3579" xml:space="preserve">nommé-<lb/>ment, pourquoy la ſuite de differents <lb/>accords nous plaiſt dauantage, que la <lb/>continuation d’vn meſme accord, en-<lb/>core que cettuy cy ſoit le plus agreable <lb/>de toute la Muſique: </s> <s xml:id="echoid-s3580" xml:space="preserve">par exĕple, pour-<lb/>quoy la continuation de l’octaue, ou de <lb/>la quinte, qui ſont les deux cõſonances <lb/>les plus excellentes, & </s> <s xml:id="echoid-s3581" xml:space="preserve">les plus agrea-<lb/>bles, ne nous contente autant ou da-<lb/>uantage que le mélãge des tierces, des <lb/>ſextes, & </s> <s xml:id="echoid-s3582" xml:space="preserve">c. </s> <s xml:id="echoid-s3583" xml:space="preserve">auec la quinte & </s> <s xml:id="echoid-s3584" xml:space="preserve">l’octaue, <lb/>Il en eſt de meſme des autres obiects, <lb/>car on remarque que le ſucre qui eſt ſi <lb/>agreable nous déplaiſt ſinous en vſons <pb o="233" file="00252" n="251" rhead="& Mathematiques."/> ſouuent, & </s> <s xml:id="echoid-s3585" xml:space="preserve">le verd ne nous eſt pas ſi <lb/>agreable, que nous n’aimions mieux le <lb/>quitter pour voir d’autres couleurs qui <lb/>ne nous ſont pas ſi conformes.</s> <s xml:id="echoid-s3586" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3587" xml:space="preserve">Certainement ſi nous conſiderons le <lb/>plus parſait obiect de chaque ſens com-<lb/>me ſa ſin derniere, & </s> <s xml:id="echoid-s3588" xml:space="preserve">que, par exemple, <lb/>le doux ſoit la felicité du gouſt, le verd <lb/>des yeux, l’odeur de l’œillet du flairer, <lb/>le parſait poly du toucher, & </s> <s xml:id="echoid-s3589" xml:space="preserve">l’octaue <lb/>de l’oüie, il ſera, ce me ſemble, aſſez <lb/>difficile de dire pourquoy nos ſens ſe <lb/>plaiſent à la diuerſité, puis qu’ils doi-<lb/>uent ſe repoſer dans la poſſeſſion de ce <lb/>qui leur eſt le plus conforme, & </s> <s xml:id="echoid-s3590" xml:space="preserve">de ce <lb/>qui leur apporte la plus grande perfe-<lb/>ction qu’ils puiſſent receuoir: </s> <s xml:id="echoid-s3591" xml:space="preserve">ſi ce n’eſt <lb/>qu’on diĕ que le parfait obiect de cha-<lb/>que ſens doit contenir toutes les cho-<lb/>ſes dõt il eſt capable: </s> <s xml:id="echoid-s3592" xml:space="preserve">Par exemple, que <lb/>l’obiect de l’oreille, ou de l’oüie, doit <lb/>contenir toutes les conſonances, & </s> <s xml:id="echoid-s3593" xml:space="preserve"><lb/>meſme toutes les diſſonances formel-<lb/>lemĕt, ou en émmance: </s> <s xml:id="echoid-s3594" xml:space="preserve">que l’obiectdu <lb/>gouſt doit cõtenirt@utes lesſaueut@, cõ-<lb/>me on dit de la mãne que Dien enuoya <lb/>aux enfans d’Iſrael; </s> <s xml:id="echoid-s3595" xml:space="preserve">que l’obiect de la <lb/>vęuë doit embraſſer toutes les couleurs <pb o="234" file="00253" n="252" rhead="Queſtions Phyſiques,"/> & </s> <s xml:id="echoid-s3596" xml:space="preserve">toute la lumiere, & </s> <s xml:id="echoid-s3597" xml:space="preserve">c. </s> <s xml:id="echoid-s3598" xml:space="preserve">ce qui n’arriue-<lb/>ra qu’en Paradis, ou l’eſſence Diuine <lb/>ſera le parfait obiect de l’entendement <lb/>des bien-heureux, & </s> <s xml:id="echoid-s3599" xml:space="preserve">ou les ſens ioüi-<lb/>ront de la perfection de leurs obiects, <lb/>dont il ſera traité plus amplement dans <lb/>le dernier liure, qui ſera de la Muſique <lb/>des bien-heureux. </s> <s xml:id="echoid-s3600" xml:space="preserve">Il ſuffit de ſçauoir <lb/>& </s> <s xml:id="echoid-s3601" xml:space="preserve">d’experimenter que les obiects de <lb/>nos ſens n’ont pas icy leur perfection, <lb/>ou que les ſens sõt priuez de celle qu’ils <lb/>auront apres la reſurrection: </s> <s xml:id="echoid-s3602" xml:space="preserve">Mais par-<lb/>lant ſeulemĕt des ſens dont nous nous <lb/>ſeruons maintenant, nous pouuõs dire <lb/>qu’ils ſe plaiſent à lavarieté de leurs ob-<lb/>iects, afin qu’ils puiſſent trouuer ſepa-<lb/>rément, ce qu’ils ne peuuent rencon-<lb/>trer en vne choſe, & </s> <s xml:id="echoid-s3603" xml:space="preserve">qu’ils ſe forment <lb/>quelque idée de la perfection à laquelle <lb/>ils aſpirent. </s> <s xml:id="echoid-s3604" xml:space="preserve">D’abondant les organes <lb/>des ſens ſont compoſez des quatre ele-<lb/>mans, & </s> <s xml:id="echoid-s3605" xml:space="preserve">ont leurs quatre qualitez, & </s> <s xml:id="echoid-s3606" xml:space="preserve"><lb/>celles qui en naiſſent qu’on appelle ſe-<lb/>condes, de là vient qu’ils ont beſoin de <lb/>routes les ſortes d’obiects pour leur ſa-<lb/>tisfaction, dont les vns ſont plus terre-<lb/>ſtres, les autres ont plus d’eau, & </s> <s xml:id="echoid-s3607" xml:space="preserve">c. </s> <s xml:id="echoid-s3608" xml:space="preserve">afin <lb/>qu’ils trouuent aux vns, ce qui n’eſt pas <lb/>aux autres.</s> <s xml:id="echoid-s3609" xml:space="preserve"/> </p> <pb o="235" file="00254" n="253" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s3610" xml:space="preserve">Mais il faut à mon aduis tirer la prin-<lb/>cipale raiſon de l’eſprit, puis que c’eſt <lb/>luy qui reçoit le plaiſir par le moien des <lb/>ſens qui n’ont nulle connoiſſance, & </s> <s xml:id="echoid-s3611" xml:space="preserve"><lb/>qui ſeruent ſeulement de matiere, & </s> <s xml:id="echoid-s3612" xml:space="preserve"><lb/>d’inſtrumĕt à l’ame. </s> <s xml:id="echoid-s3613" xml:space="preserve">L’eſprit de l’hom-<lb/>me qui eſt capable de connoiſtre tout <lb/>ce qui eſt intelligible, deſire touſiours <lb/>d’apprĕdre choſes nouuel@es, delà vient <lb/>que ſi toſt qu’il a entendu la quinte ou <lb/>l’octaue, & </s> <s xml:id="echoid-s3614" xml:space="preserve">qu’il a ioüy de tout le plaiſir <lb/>qui s’y rencontre, il deſire incontinent <lb/>de s’appliquer à d’autres connoiſſances, <lb/>& </s> <s xml:id="echoid-s3615" xml:space="preserve">de gouſter le plaiſir qui eſt aux autres <lb/>conſonances, encore qu’il ſoit plus im-<lb/>parfaict que celuy dont il ioüiſſoit au-<lb/>parauant; </s> <s xml:id="echoid-s3616" xml:space="preserve">afin que ſa perfection ſoit <lb/>augmentée, qui conſiſte dans vne con-<lb/>noiſſance qui ſoit plus grande en ſon <lb/>eſtenduë ou en ſa perſectiõ, qu’elle n’e-<lb/>ſtoit auparauant.</s> <s xml:id="echoid-s3617" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3618" xml:space="preserve">A quoy il faut adiouſter que l’eſprit <lb/>de l’homme luy a eſté baillè en partage <lb/>en contre-échange de pluſieurs autres <lb/>choſes, qui ſont tombées au lot des au-<lb/>tres animaux, pour<unsure/> ſuppléer quaſi à tout <lb/>ce qui luy pourroit manquer; </s> <s xml:id="echoid-s3619" xml:space="preserve">& </s> <s xml:id="echoid-s3620" xml:space="preserve">com-<lb/>me toute ſorte de choſes ne peuuent <pb o="236" file="00255" n="254" rhead="Queſtions Phyſiques,"/> pas eſtre employées à meſme vſage, il <lb/>taſche à les connoiſtre toutes pour s’en <lb/>ſeruir à l’occaſion; </s> <s xml:id="echoid-s3621" xml:space="preserve">que ſi vne ſeule cho-<lb/>ſe luy ſuffiſoit, il ſeroit content de ſa <lb/>ſeule connoiſſance, mais eſtant en la <lb/>nature comme vn Roy dãs vn Royau-<lb/>me, qui comme éleué plus ſplendide-<lb/>ment, & </s> <s xml:id="echoid-s3622" xml:space="preserve">nourry plus delieatement a <lb/>beſoin pour ſa perſonne de beaucoup <lb/>de choſes, dont ſes ſujets, & </s> <s xml:id="echoid-s3623" xml:space="preserve">le reſte du <lb/>peuple ſe paſſent, il a nõbre d’officiers, <lb/>de valets, & </s> <s xml:id="echoid-s3624" xml:space="preserve">de pouruoieurs; </s> <s xml:id="echoid-s3625" xml:space="preserve">auſſi l’eſ-<lb/>prit de l’homme employe tous les ſens, <lb/>& </s> <s xml:id="echoid-s3626" xml:space="preserve">les enuoye à la prouiſion de tout ce <lb/>que la nature a eſtably icy bas, pour s’en <lb/>ſeruir, non ſeulement en ſes neceſſitez, <lb/>mais auſſi à ſes plaiſirs & </s> <s xml:id="echoid-s3627" xml:space="preserve">cõtentemens.</s> <s xml:id="echoid-s3628" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3629" xml:space="preserve">Diſons d’abondant que les hommes <lb/>ayment la diuerſité comme infirmes, & </s> <s xml:id="echoid-s3630" xml:space="preserve"><lb/>periſſables, puiſque la vie des hommes <lb/>ne ſe conſerue qu’en periſſant. </s> <s xml:id="echoid-s3631" xml:space="preserve">Du pre-<lb/>mier iour qu’il commence, il court à ſa <lb/>ſin, & </s> <s xml:id="echoid-s3632" xml:space="preserve">quoy que toutes ſes actions ten-<lb/>dent à ſon augmĕtation, cõme actions, <lb/>neantmoins elles cõſomment vne par-<lb/>tie de luy meſme. </s> <s xml:id="echoid-s3633" xml:space="preserve">Tous les ſens ſubſi-<lb/>ſtent par les eſprits, qui ſont portez par <lb/>les nerſs à l’organe du ſens, & </s> <s xml:id="echoid-s3634" xml:space="preserve">les eſprits <pb o="237" file="00256" n="255" rhead="& Mathematiques."/> ſe conſomment en l’action, de ſorte <lb/>qu’il eſt beſoin de repos pour les repa-<lb/>rer. </s> <s xml:id="echoid-s3635" xml:space="preserve">Or les vnes des actions ſont repos <lb/>à proportion des autres, le trop long re-<lb/>pos eſt oiſiſ, & </s> <s xml:id="echoid-s3636" xml:space="preserve">le trop long trauail eſt <lb/>deſtroiſant, il faut dõc qu’ils ſuccedent <lb/>l’vn à l’autre, & </s> <s xml:id="echoid-s3637" xml:space="preserve">de cette ſucceſſion naiſt <lb/>la diuerſité, & </s> <s xml:id="echoid-s3638" xml:space="preserve">de cette diuerſité le plai-<lb/>ſir, comme en la Muſique, l’octaue ſe <lb/>peut dire le repos entier, la quinte vn <lb/>grand ſoulagement, la quarte vn tra-<lb/>uail leger, la tierce vn plus court, la <lb/>ſexte vn moindre, la ſeconde & </s> <s xml:id="echoid-s3639" xml:space="preserve"><lb/>ſeptieſme des trauaux inſuppor-<lb/>tables, & </s> <s xml:id="echoid-s3640" xml:space="preserve">qui accablent. </s> <s xml:id="echoid-s3641" xml:space="preserve">Or comme <lb/>celuy qui eſt chargé d’vn lourd far-<lb/>deau, & </s> <s xml:id="echoid-s3642" xml:space="preserve">qui luy fait ployer les reins, & </s> <s xml:id="echoid-s3643" xml:space="preserve"><lb/>flechir les genoux, s’eſtime eſtre dans <lb/>le contentement parfait de ſon corps, <lb/>lors qu’il en eſt déchargé tout à coup, <lb/>auſſi celuy qui apres auoir oüy vne ſe-<lb/>conde, ou vne ſeptieſme, vient à enten-<lb/>dre promptement vne octaue, croit <lb/>eſtre dans le plus grand plaiſir que l’eſ-<lb/>prit ſe puiſſe imaginer pouuoir receuoir <lb/>par l’oreille.</s> <s xml:id="echoid-s3644" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3645" xml:space="preserve">Or l’on peut conclurie pluſieurs cho-<lb/>ſes de ce diſcours, particulieremĕt que <pb o="238" file="00257" n="256" rhead="Queſtions Phyſiques,"/> tout ce qui eſt trop ſimple, & </s> <s xml:id="echoid-s3646" xml:space="preserve">tout ce <lb/>qui n’a point de diuerſité ne plaiſt pas <lb/>aux ſens, ny à l’imagination. </s> <s xml:id="echoid-s3647" xml:space="preserve">De là <lb/>vient que ſi le ſon le plus agreable du <lb/>monde, ſoit de la voix ou des inſtru-<lb/>mĕs, eſt long temps continué, qu’il eſt <lb/>deſagreable, dautant qu’il n’a point de <lb/>varieté: </s> <s xml:id="echoid-s3648" xml:space="preserve">s’il eſt interrompu, comme il <lb/>eſt quand l’on fait quelque poſe, qu’il <lb/>eſt plus agreable, encore qu’il ſoit auſſi <lb/>bien à l’vniſſon, que quand il eſt conti-<lb/>nué, parce que l’interruption apporte <lb/>quelque maniere de varieté: </s> <s xml:id="echoid-s3649" xml:space="preserve">Si auec <lb/>ces poſes il eſt accompagné de differen-<lb/>tes ſyllabes, & </s> <s xml:id="echoid-s3650" xml:space="preserve">parolles, qu’il eſt plus <lb/>agreable que quand il eſt ſeulement in-<lb/>terrompu: </s> <s xml:id="echoid-s3651" xml:space="preserve">Si le ſon change de quantité <lb/>ſe faiſant plus aigu, comme il a riue au <lb/>plain chant, qu’il eſt plus agreable que <lb/>le ſon vniſſon qui a des ſyllabes, com-<lb/>me eſt le chant de quelques Religieux, <lb/>& </s> <s xml:id="echoid-s3652" xml:space="preserve">ſinalement, ſi auec l’interruption, & </s> <s xml:id="echoid-s3653" xml:space="preserve"><lb/>la difference des ſyllabes, & </s> <s xml:id="echoid-s3654" xml:space="preserve">le change-<lb/>ment du graue à l’aigu, il a les differens <lb/>mouuemens de la Rythmique, ou de la <lb/>Metrique, qu’il eſt ſouuerainement <lb/>agreable, dautant qu’il a toutes les <lb/>beautez que l’on luy peut donner pour<unsure/> <lb/>le varier.</s> <s xml:id="echoid-s3655" xml:space="preserve"/> </p> <pb o="239" file="00258" n="257" rhead="& Mathematiques."/> <p> <s xml:id="echoid-s3656" xml:space="preserve">Il ne faut pourtant pas que la diuer-<lb/>ſité ſoit trop grande pour plaire, com-<lb/>me nous dirons au traité des diſſonan-<lb/>ces, ou nous monſtrerons qu’elles ne <lb/>plaiſent pas, mais qu’elles ſont deſa-<lb/>greables à cauſe de leur trop grande di-<lb/>uerſité: </s> <s xml:id="echoid-s3657" xml:space="preserve">encore qu’il ſoit treſ-difficile <lb/>de dire combien la diuerſité doit eſtre <lb/>grande en toutes choſes pour commĕ-<lb/>cer à déplaire, & </s> <s xml:id="echoid-s3658" xml:space="preserve">qu’il y ayt d’autres <lb/>cauſes du deplaiſir que l’imagination <lb/>conçoit des objects.</s> <s xml:id="echoid-s3659" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3660" xml:space="preserve">L’on peut encore conclurre de ce <lb/>diſcours, que ce que l’on appelle beau, <lb/>ou beauté, ne doit pas eſtre indiuiſible, <lb/>ou trop ſimple, mais qu’il doit auoir de <lb/>la diuerſité: </s> <s xml:id="echoid-s3661" xml:space="preserve">par exemple, ſi toutes les <lb/>parties du viſage eſtoient ſemblables, il <lb/>ne ſeroit pas ſi beau qu’il eſt: </s> <s xml:id="echoid-s3662" xml:space="preserve">& </s> <s xml:id="echoid-s3663" xml:space="preserve">ſi l’on <lb/>ne remarquoit l’ordre des differentes <lb/>parties d’vn baſtiment, & </s> <s xml:id="echoid-s3664" xml:space="preserve">qu’il fuſt tout <lb/>vniforme, l’õ ne le trouueroit pas beau.</s> <s xml:id="echoid-s3665" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3666" xml:space="preserve">Mais il eſt difficile de ſçauoir quelle <lb/>doit eſtre la diuerſité de l’obiect: </s> <s xml:id="echoid-s3667" xml:space="preserve">par <lb/>exemple, quels lineamens, quelle figu-<lb/>re, quelle graudeur, quelle couieur, & </s> <s xml:id="echoid-s3668" xml:space="preserve"><lb/>quel poly doit auoir le viſage, pour eſtre <lb/>rauiſſant: </s> <s xml:id="echoid-s3669" xml:space="preserve">& </s> <s xml:id="echoid-s3670" xml:space="preserve">ce ie ne ſçay quoy qui nous <pb o="240" file="00259" n="258" rhead="Queſtions Phyſiq. & Mathem."/> attire, & </s> <s xml:id="echoid-s3671" xml:space="preserve">qui s’empare de noſtre affe-<lb/>ction, quand nous regardons quelque <lb/>viſage qui nous plaiſt, ne peut eſtre ex-<lb/>pliqué, ny entendu.</s> <s xml:id="echoid-s3672" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3673" xml:space="preserve">La meſme diſſiculté ſe rencontre en <lb/>pluſieurs autres choſes, cõme aux edi-<lb/>fices, aux c@@omnes, aux figures, & </s> <s xml:id="echoid-s3674" xml:space="preserve">en <lb/>tous les autres corps du monde, de ſor-<lb/>te qu’il n’y a, ceſemble, que Dieu qui <lb/>ſçache le vray point de la perfection, & </s> <s xml:id="echoid-s3675" xml:space="preserve"><lb/>de la beauté de chaque choſe, & </s> <s xml:id="echoid-s3676" xml:space="preserve">qui <lb/>connoiſſe parfaitemĕt quelle doit eſtre <lb/>la diuerſite de chaque object pour rauir <lb/>l’eſprit, ou les ſens: </s> <s xml:id="echoid-s3677" xml:space="preserve">de ſorte que la plus <lb/>grande eſtĕduë de l’eſprit humain con-<lb/>ſiſte à remarquer les apparences de la <lb/>nature, & </s> <s xml:id="echoid-s3678" xml:space="preserve">particulierement celles qui <lb/>frappent, & </s> <s xml:id="echoid-s3679" xml:space="preserve">qui contentent les ſens; <lb/></s> <s xml:id="echoid-s3680" xml:space="preserve">quoy que l’eſprit eſtãt l’image de Dieu <lb/>ſe doiue éleuer, tant qu’il peut par deſ-<lb/>ſus les ſens iuſques à la Diuinité, dans <lb/>laquelle il n’y a plus de varieté.</s> <s xml:id="echoid-s3681" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div99" type="section" level="1" n="97"> <head xml:id="echoid-head150" xml:space="preserve">FIN.</head> <pb file="00260" n="259"/> </div> <div xml:id="echoid-div100" type="section" level="1" n="98"> <head xml:id="echoid-head151" xml:space="preserve">LES <lb/>MECHANIQVES <lb/>DE GALILE’E <lb/>MATHEMATICIEN <lb/>& Ingenieur du Duc de Florence.</head> <head xml:id="echoid-head152" style="it" xml:space="preserve">AVEC PLVSIEVRS ADDITIONS <lb/>rares, & nouuelles, vtiles aux Archite-<lb/>ctes, Ingenieurs, Fonteniers, Phi-<lb/>loſophes, & Artiſans.</head> <head xml:id="echoid-head153" xml:space="preserve">Traduites de l’Italien par L.P.M.M.</head> <figure> <image file="00260-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00260-01"/> </figure> </div> <div xml:id="echoid-div101" type="section" level="1" n="99"> <head xml:id="echoid-head154" xml:space="preserve">A PARIS, <lb/>Chez <emph style="sc">Henry</emph> <emph style="sc">Gvenon</emph>, ruë S. Iacques, <lb/>pres les Iacobins, à l’image S. Bernard.</head> <head xml:id="echoid-head155" xml:space="preserve">M. DC. XXXIV.</head> <head xml:id="echoid-head156" style="it" xml:space="preserve">A<unsure/>VEC PRIVILEGE ET APPROBATION.</head> <pb file="00261" n="260"/> <pb file="00262" n="261"/> <figure> <image file="00262-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00262-01"/> </figure> </div> <div xml:id="echoid-div102" type="section" level="1" n="100"> <head xml:id="echoid-head157" xml:space="preserve">A MONSIEVR <lb/>MONSIEVR <lb/>DE REFFVGE, <lb/>CONSEILLER DV <lb/>Roy au Parlement.</head> <p> <s xml:id="echoid-s3682" xml:space="preserve">MONSIEVR,</s> </p> <p style="it"> <s xml:id="echoid-s3683" xml:space="preserve">Puis qu’ily a huict ans que ie vous <lb/>preſentay les liures de Mechaniques en <lb/>latm, & </s> <s xml:id="echoid-s3684" xml:space="preserve">que ie fais voir le iour à ce <lb/>nouueau traitté de Galilée, qui donne <lb/>de nouuelles lumieres à cette ſcience, ile ſt <lb/>raiſonnable que ie vous l’offre auſſi <lb/>bien que l’autre, affin que vous ſoyez le <lb/>premier à receuoir le contentement que <lb/>l’on à couſtume de reſſentir en liſant <lb/>tout ce qui vient de la part de cét excel-<lb/>lent homme, quia l’vn des plus ſubtils <pb file="00263" n="262" rhead="EPITRE."/> eſprits de ce ſiecle. </s> <s xml:id="echoid-s3685" xml:space="preserve">Si la traduction <lb/>ſemble quelque fois obſcure, à raiſon des <lb/>fautes du manuſcrit Italienie ne doute <lb/>nullemĕt que la clairté & </s> <s xml:id="echoid-s3686" xml:space="preserve">la viuacité de <lb/>vuſtre eſprit n’en diſſipe ayſement tous <lb/>les nüages, Quant aux additions que <lb/>iy ay miſes, ellesvous ſeront auſſi agrea-<lb/>bles que lereſte, parce qu’elles contien-<lb/>nent de nouuelles ſpeculations, qui peu-<lb/>uent ſeruir pour penetrer les ſecrets de <lb/>la Phyſique & </s> <s xml:id="echoid-s3687" xml:space="preserve">particulicrement <lb/>tout @ qui concerneles mouuemens tãt <lb/>naturels que violents. </s> <s xml:id="echoid-s3688" xml:space="preserve">Mais i’estime <lb/>que l’ordre, & </s> <s xml:id="echoid-s3689" xml:space="preserve">le reglement admirable <lb/>que la nature obſerue dans les forces <lb/>mouuantes, vous donnera encore plus <lb/>de plaiſir, parce que vous y verrez re-<lb/>luire vne équité. </s> <s xml:id="echoid-s3690" xml:space="preserve">& </s> <s xml:id="echoid-s3691" xml:space="preserve">vne iustice perpe-<lb/>tuelle qui ſe garde, & </s> <s xml:id="echoid-s3692" xml:space="preserve">que l’on remar-<lb/>que ſi iuſtcment entre la force, la reſi-<lb/>ſtence, le tĕps, la viſteſſe &</s> <s xml:id="echoid-s3693" xml:space="preserve">, leſpace, que <lb/>l’vnrecõpenſe touſiours l’autre, car ſi le <lb/>mouuemĕt est viste, il faut beaucoup de <pb file="00264" n="263" rhead="ESPITRE."/> force & </s> <s xml:id="echoid-s3694" xml:space="preserve">s’il eſt lĕt, vnepetite force ſuffit. <lb/></s> <s xml:id="echoid-s3695" xml:space="preserve">En effet il eſtimpoſſible de gaigner la for-<lb/>ce, & </s> <s xml:id="echoid-s3696" xml:space="preserve">le téps tout ensĕble, cõme il eſt im-<lb/>poſſible qu’vn homme iouyſſe des plai-<lb/>ſirs folaſtres du monde & </s> <s xml:id="echoid-s3697" xml:space="preserve">de ceux du <lb/>Ciel en meſme temps: </s> <s xml:id="echoid-s3698" xml:space="preserve">de ſorte que les <lb/>Mechaniques peuuent enſeigner à bien <lb/>viure, ſoit en imitant les corps peſa@s <lb/>quicherchent touſiours leur centre dans <lb/>celuy de la terre comme le ſprit de l’hom. </s> <s xml:id="echoid-s3699" xml:space="preserve"><lb/>me doit chercher le ſien dans l’eſſence <lb/>diuine qui eſt la ſource de tous les eſprits <lb/>ou en ſe tenantdans le perpetuel èquili-<lb/>bre moral, & </s> <s xml:id="echoid-s3700" xml:space="preserve">raiſonnable qui conſiſte à <lb/>rendre premierement à Dieu, & </s> <s xml:id="echoid-s3701" xml:space="preserve">puis <lb/>au prochain tout ce que luy appartient. </s> <s xml:id="echoid-s3702" xml:space="preserve"><lb/>L’autheurde ce traité a obmis beaucoup <lb/>de choſes, par exĕple il n’a point parlédu <lb/>coin, qui eſt l’inſtrumĕt le plus fort de to<emph style="sub">9</emph> <lb/>car ſa force en partie depend de l’incli-<lb/>nation du plan, comme Guid V balde <lb/>demonſtre dans le traité, qu’tl en a fait, <lb/>de ſorte que le coin entre dautant plus <pb file="00265" n="264" rhead="ESPITRE."/> ayſement qu’il eſt plus eſtreit, & </s> <s xml:id="echoid-s3703" xml:space="preserve">que <lb/>ſes coſtez panchent dauantage ſur l’ho-<lb/>riz on, c’eſt à dire qu’ils font de moin-<lb/>dres angles. </s> <s xml:id="echoid-s3704" xml:space="preserve">Or ce me ſme principe eſt <lb/>cauſe de ce que les cousteaux coupent ſi <lb/>ayſement, & </s> <s xml:id="echoid-s3705" xml:space="preserve">de pluſieurs autres effects <lb/>que l’ on peut @emarquer en mille choſes, <lb/>dont on cognoiſtra les raiſons ſi on liſt <lb/>auec attention les traitez, della Vite, <lb/>del Cuneo, della Taglia, della <lb/>Leua, della Bilancia, & </s> <s xml:id="echoid-s3706" xml:space="preserve">dell’ Aſſe <lb/>nella Rota, que Guido Vbalde a com-<lb/>poſez: </s> <s xml:id="echoid-s3707" xml:space="preserve">d’où ſe tire la nature des Ver-<lb/>rins, des Crics, des Preſſes, & </s> <s xml:id="echoid-s3708" xml:space="preserve">de tcut <lb/>ce qui ſert à augmenter, à conſeruer, ou <lb/>à diminuer la force, ou le temps.</s> <s xml:id="echoid-s3709" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3710" xml:space="preserve">La force du coin depend auſſi de la per-<lb/>cuſſion, qui eſt ſi admirable qu’il n’y a <lb/>point de fardeau ſi lourd, que l’on ne <lb/>puiſſe faire remüer & </s> <s xml:id="echoid-s3711" xml:space="preserve">cheminer auec <lb/>des coups de marteau, pour petits qu’ils <lb/>puiſſent eſtre, ce que l’on tient que <lb/>Galilée a experimenté en frappant ſi <pb file="00266" n="265" rhead="ESPITRE."/> ſouuent contre vn grand coffre auec vn <lb/>marteau d’épinette, qu’il la fait chan-<lb/>ger de place & </s> <s xml:id="echoid-s3712" xml:space="preserve">la fait auancer d’vn <lb/>pied: </s> <s xml:id="echoid-s3713" xml:space="preserve">ce que pluſieurs ne croyront nulle-<lb/>ment encore qu’ils ne prennent pas la <lb/>peine d’ en faire l’experience laquelle eſt <lb/>tres digne de conſideration, car elle peut <lb/>ſeruir d’vn principe pour entrer plus <lb/>auant dans les ſecrets de la nature. </s> <s xml:id="echoid-s3714" xml:space="preserve">Ie <lb/>laiſſe pluſieurs autres choſe, qui ſem-<lb/>blent admirables, & </s> <s xml:id="echoid-s3715" xml:space="preserve">que vous pouuez, <lb/>experimenter quand il vous plaira; <lb/></s> <s xml:id="echoid-s3716" xml:space="preserve">ie vous en diray ſeulement vne des plus <lb/>rares, laquelle vousverrez en iettãt vne <lb/>bale, ou vne boule eǹ haut le plus droit <lb/>que vous pourrez, lors que vous estes <lb/>dans vostre carroſſe, ou a cheual, & </s> <s xml:id="echoid-s3717" xml:space="preserve"><lb/>lors qu’ils courent de telle viſteſſe que <lb/>vous voudrez, car la boule vous ſui-<lb/>ura, tellement que vous la pourrez rece-<lb/>uoir dans la main encore que le carroſſe, <lb/>ou le cheual ayent fait cent pas tandis <lb/>que la boule aura eſté dans l’air. </s> <s xml:id="echoid-s3718" xml:space="preserve">Et ſi <pb file="00267" n="266" rhead="ESPITRE."/> vous la laiſſez tõber, elle vous ſuiura <lb/>d’autant plus loing que le cheual ira <lb/>plus viste. </s> <s xml:id="echoid-s3719" xml:space="preserve">Galilèe a cncore laiſſé dau-<lb/>tres choſes dans ſon traicté comme il eſt <lb/>ayſé de voir dans les trois l@ures de <lb/>Mechaniques que ie vous ay preſentez <lb/>& </s> <s xml:id="echoid-s3720" xml:space="preserve">qui peuuent ſuppléer à ce que l’on <lb/>pourroit icy deſirer; </s> <s xml:id="echoid-s3721" xml:space="preserve">de ſorte qu’il n’eſt <lb/>pas neceſſaire que ie m’eſtende plus au <lb/>long ſur ce ſubiect, qui dépend entiere-<lb/>ment du centre de peſanteur, que l’on <lb/>trouue dans toutes ſortes de corps par <lb/>les moyens, que Commandin & </s> <s xml:id="echoid-s3722" xml:space="preserve">Luc <lb/>Valere ont donné, dont vous auez tou-<lb/>tes les propoſitions.</s> <s xml:id="echoid-s3723" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s3724" xml:space="preserve">Ie croy que ſila Iuſtice pouuoit par-<lb/>ler qu’elle cõfeſſeroit ingenuëment qu’il <lb/>n’y a nulle ſcience naturelle: </s> <s xml:id="echoid-s3725" xml:space="preserve">qui luy <lb/>ſoit ſi ſemblable que celles des Mecha-<lb/>niques, c’eſt pourquoyievous l’offre aſſin <lb/>de te ſmoigner l’estat que ie fais de vos <lb/>vertus, qui me contraignent d’auoir <lb/>la meſme affection pour vous, que pour <pb file="00268" n="267" rhead="ESPITRE."/> celuy qui eſt aymè de Dieu & </s> <s xml:id="echoid-s3726" xml:space="preserve">des <lb/>hommes, de prier la diuine Maieſtè de <lb/>vous donner vne’ tres bonne ſanté, <lb/>qui ſoit auſſi longue que ie le deſire: </s> <s xml:id="echoid-s3727" xml:space="preserve">& </s> <s xml:id="echoid-s3728" xml:space="preserve"><lb/>de me dire auec toute ſorte de reſpect.</s> <s xml:id="echoid-s3729" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3730" xml:space="preserve">Voſtre tres-humble <lb/>ſeruiteur F. </s> <s xml:id="echoid-s3731" xml:space="preserve">M. </s> <s xml:id="echoid-s3732" xml:space="preserve">Mer-<lb/>ſenne Minime.</s> <s xml:id="echoid-s3733" xml:space="preserve"/> </p> <pb file="00269" n="268" rhead="PREFACE AV LECTEVR."/> <p> <s xml:id="echoid-s3734" xml:space="preserve">IE ſeray content ſi ie ſuis cauſe <lb/>que le ſieur Galilée nous don-<lb/>ne toutes ſes ſpeculations des <lb/>mouuemens, & </s> <s xml:id="echoid-s3735" xml:space="preserve">de tout ce qui ap-<lb/>partientaux Mcchaniques, car ce <lb/>qui viendra de ſa part ſera excel-<lb/>lent: </s> <s xml:id="echoid-s3736" xml:space="preserve">c’eſt pourquoy ie prie ceux <lb/>qui on@ de la correſpondance à <lb/>Florénce, de l’exhorter par lettres <lb/>à donner au public toutes ſes re-<lb/>marques, comme i’cſpere qu’il <lb/>fera puis qu’il a maintenant le <lb/>remps, & </s> <s xml:id="echoid-s3737" xml:space="preserve">la commodité tres libre <lb/>dans ſa maiſon des champs, & </s> <s xml:id="echoid-s3738" xml:space="preserve"><lb/>qu’il a cncor aſſez de force, quoy <lb/>qu’il ſoit plus que ſeptuagenaire <lb/>pour acheucr toutes ſes œuures, <lb/>comme il aſſeure dans vne lettre <lb/>de ſa main que l’on m’a commu-<lb/>niquée. </s> <s xml:id="echoid-s3739" xml:space="preserve">Or en attendant ces trai-<lb/>tez excellent, l’on peut voir les <pb file="00270" n="269" rhead="PREFACE."/> 3 liures des Mechaniques, que ie <lb/>feis imprimer l’année 1626; </s> <s xml:id="echoid-s3740" xml:space="preserve">à quoy <lb/>i’aioute maintenant la conſidera-<lb/>tion des deux cercles qu’ Ariſtote <lb/>a propoſez dans la 24 qucſtion de <lb/>ſes Mechaniques, parce que plu-<lb/>ſieurs la trouuĕt admirable dau-<lb/>tant qu’ils ne l’entendent pas.</s> <s xml:id="echoid-s3741" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3742" xml:space="preserve">Et pour ce ſujet ſoit le grand cer-<lb/>cle ACB, & </s> <s xml:id="echoid-s3743" xml:space="preserve">le moindre FGH, il <lb/> <anchor type="figure" xlink:label="fig-00270-01a" xlink:href="fig-00270-01"/> eſt certain <lb/>que quand <lb/>le quart du <lb/>grand cercle <lb/>BD s’eſt meu <lb/>iuſques au <lb/>poinct O, de <lb/>ſorte que le point D ſe rencontre <lb/>au point O, que le point E du <lb/>quart du moindre cercle FE ſe rĕ-<lb/>cõtre au point N, & </s> <s xml:id="echoid-s3744" xml:space="preserve">cõſequĕment <lb/>quc le petit cercle fait autant de <lb/>chemin que le grand en meſme <pb file="00271" n="270" rhead="PREFACE."/> temps, puiſque le plan FN ſur le-<lb/>quel il ſe meut eſt égal au plan <lb/>DO, ſur lequel roule le grand.</s> <s xml:id="echoid-s3745" xml:space="preserve"/> </p> <div xml:id="echoid-div102" type="float" level="2" n="1"> <figure xlink:label="fig-00270-01" xlink:href="fig-00270-01a"> <image file="00270-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00270-01"/> </figure> </div> <p> <s xml:id="echoid-s3746" xml:space="preserve">D’où quelques vns conclunt <lb/>qu’il n’y a point de ſi petit cercle <lb/>que l’on ne le puiſſe dire égal au <lb/>plus grand qui ſe puiſſe imaginer, <lb/>puis qu’il reſpõd à vn eſpace égal <lb/>Car pluſieurs croyent que les par-<lb/>ties du petit ne trainent point, <lb/>qu’elles ne froiſſent nullement le <lb/>plan, & </s> <s xml:id="echoid-s3747" xml:space="preserve">que chaque point, & </s> <s xml:id="echoid-s3748" xml:space="preserve">cha-<lb/>que partie de ſa circonference <lb/>touche ſeulemĕt à chaque point, <lb/>& </s> <s xml:id="echoid-s3749" xml:space="preserve">à chaque partie du plan. </s> <s xml:id="echoid-s3750" xml:space="preserve">Il faut <lb/>dire la meſme choſe du grand <lb/>cercle à l’égard du petit, lors que <lb/>le grand ſe meut par le mouue-<lb/>ment du petit, car le grand dimi-<lb/>nuë ſon chemin ſuiuant les traces <lb/>du petit, de ſorte que ſi le petit <lb/>ne fait qu’vn pied de Roy dans vn <lb/>tour, le grand qu@y qu’égal au <pb file="00272" n="271" rhead="PREFACE."/> Ciel des eſtoiles, ne ſait auſſi <lb/>qu’vn pied de Roy dans vn tour. <lb/></s> <s xml:id="echoid-s3751" xml:space="preserve">Ce que quelques vns expliquent <lb/>p@r le moyen de la rarefaction, & </s> <s xml:id="echoid-s3752" xml:space="preserve"><lb/>dela condenſation, en comparãt <lb/>le mouuement du grand cercle à <lb/>celle-cy, & </s> <s xml:id="echoid-s3753" xml:space="preserve">le mouuement du <lb/>moindre à celle la, quãd le moin-<lb/>dre eſt meu par le plus grãd, & </s> <s xml:id="echoid-s3754" xml:space="preserve">au <lb/>contraire, lors que le moindre <lb/>meut le plus grand. </s> <s xml:id="echoid-s3755" xml:space="preserve">Or il f<unsure/>aut <lb/>aduoüer que la negligence des <lb/>hommes eſt étrange, qui ſe trom-<lb/>pent ſi ſouuent pour ne vouloir <lb/>pas faire la moindre experience <lb/>du monde & </s> <s xml:id="echoid-s3756" xml:space="preserve">qui ſe trauaillent eǹ <lb/>vain à la recherche des raiſons <lb/>d’vne choſe qui n’eſt point, com-<lb/>me il arriue en celle cy, car le <lb/>petitcercle ne meut iamais legrãd <lb/>que pluſieurs parties du grand <lb/>ne touchent vne meſme partie <lb/>du plan, dont chaque partie eſt <pb file="00273" n="272" rhead="PREFACE."/> touchée par cent parties dif-<lb/>ferentes du grand cercle quand <lb/>il eſt cent fois plus grand que l’au-<lb/>tre. </s> <s xml:id="echoid-s3757" xml:space="preserve">Et lors que le petit eſt meu <lb/>parle grand, vne meſine partic <lb/>du petit, touche cent parties du <lb/>grand, comme l’experience fera <lb/>voir à tous ceux qui la feront en <lb/>aſſez grand volume.</s> <s xml:id="echoid-s3758" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3759" xml:space="preserve">Les meſmes erreurs arriuenten <lb/>pluſieurs autres choſes, ce qui a <lb/>donné ſuiect à quelques vns d’eſ-<lb/>crire derebus falſò creditis, dont ie<unsure/> <lb/>donneray cncore icy vn exem-<lb/>ple. </s> <s xml:id="echoid-s3760" xml:space="preserve">L’on croyt que ſi on iette vne <lb/>pierre en haut le plus droit que <lb/>l’on peut: </s> <s xml:id="echoid-s3761" xml:space="preserve">lors que l’on eſt dans <lb/>vn nauire qui ſingle à pleins voi-<lb/>les, ou dans vn carroſſe qui va en <lb/>poſte, que la pierre tombera de-<lb/>riere le licud’ ou l’on la iette, quoy <lb/>que l’experience enſeigne qu’elle <lb/>retombe dans la main qui la rette <pb file="00274" n="273" rhead="PREFACE."/> encore que le nauire, ou le carro-<lb/>ſſe faſſe cent pas, tandis que la <lb/>pierre eſt dans l’air.</s> <s xml:id="echoid-s3762" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3763" xml:space="preserve">Mais ie reſerue la raiſon de cecy <lb/>pour vn autre lieu, affin que ie ne <lb/>ſois pas containct de faire vne <lb/>preface, qui égale le liure qui ſuit <lb/>c’eſt pourquoy i’aioûte ſeulemĕt <lb/>qu’auant que l’on entreprenne <lb/>les ouurages où les Machines <lb/>doiuent entrer, & </s> <s xml:id="echoid-s3764" xml:space="preserve">que l’on ſe ſer-<lb/>ue des ingenieurs & </s> <s xml:id="echoid-s3765" xml:space="preserve">artiſans, qu’il <lb/>eſt à propos de leur faire expoſer <lb/>leurs deſſeins, & </s> <s xml:id="echoid-s3766" xml:space="preserve">leurs modelles en <lb/>public, & </s> <s xml:id="echoid-s3767" xml:space="preserve">particulieremĕt à laveûe <lb/>des excellen ts Geometres qui ſça-<lb/>uent les vrayes raiſons de toutes <lb/>ſortes de Machines, & </s> <s xml:id="echoid-s3768" xml:space="preserve">qui peuuĕt <lb/>preuoir les inconueniens, & </s> <s xml:id="echoid-s3769" xml:space="preserve">les <lb/>obſtacles de l’air, de l’eau, & </s> <s xml:id="echoid-s3770" xml:space="preserve">des <lb/>autres circonſtances, à faute de-<lb/>quoy il arriue trop ſouuent que <lb/>pluſieurs font des deſpenſes ex- <pb file="00275" n="274" rhead="PREFACE."/> ceſſiues dans leurs maiſons où ils <lb/>veulent faire de grandes éleuatiõs <lb/>d’eau, en ſe ſeruant de certains in-<lb/>genieurs, qui ſe diſĕt tres-experts, <lb/>& </s> <s xml:id="echoid-s3771" xml:space="preserve">qui neantmoins ſont contrains <lb/>de s’enfuir honteuſement, lors <lb/>qu’ils n’ont peu venir à bout de <lb/>leurs deſſeins.</s> <s xml:id="echoid-s3772" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3773" xml:space="preserve">Or pour éuiter ces deſpences <lb/>ínutiles, il faudroit afficher par <lb/>les ruës, ou aduertir publiquemĕt <lb/>de l’ouurage que l’on veut entre-<lb/>prendre, affin que tous les inge-<lb/>nieurs apportaſſent leur modelle <lb/>en ſecret à iour nommé & </s> <s xml:id="echoid-s3774" xml:space="preserve">qu’il <lb/>fuſt examiné par les plus habiles <lb/>Mathematiciens, par les inge-<lb/>nieurs, & </s> <s xml:id="echoid-s3775" xml:space="preserve">par les charpentiers de <lb/>moulins, qui choiſiroiĕt le meil-<lb/>leur deſſein. </s> <s xml:id="echoid-s3776" xml:space="preserve">Car il faut ioindre la <lb/>pratique à la theorie non ſeule-<lb/>ment dans l’execution, mais auſſi <lb/>dans l’élection, des modelles, affi @ <pb file="00276" n="275" rhead="PREFACE."/> qu’il n’y ayt rien à redire ny à re-<lb/>faire dans les ouurages de grand <lb/>couſt, comme ſont les pompes <lb/>du pont neuf, & </s> <s xml:id="echoid-s3777" xml:space="preserve">du nouueau que <lb/>l’on a fait au bas du Louure, & </s> <s xml:id="echoid-s3778" xml:space="preserve"><lb/>que nul ne ſe ruine à faire accom-<lb/>moder les lieux de plaiſir, ou l’on <lb/>veut auoir des fonteines des grot-<lb/>tes, des arcs en Cicl, & </s> <s xml:id="echoid-s3779" xml:space="preserve">c. </s> <s xml:id="echoid-s3780" xml:space="preserve">Mais la <lb/>conſideration des pompes merite <lb/>vn diſcours plus particulier, & </s> <s xml:id="echoid-s3781" xml:space="preserve"><lb/>cette preface eſt deſia trop lon-<lb/>gue, c’eſt pourquoy i’ajoute ſeu-<lb/>lement la table des Chapitres du <lb/>liure.</s> <s xml:id="echoid-s3782" xml:space="preserve"/> </p> <pb file="00277" n="276"/> <figure> <image file="00277-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00277-01"/> </figure> </div> <div xml:id="echoid-div104" type="section" level="1" n="101"> <head xml:id="echoid-head158" xml:space="preserve">TABLE DV LIVRE</head> <head xml:id="echoid-head159" xml:space="preserve">des Mechaniques.</head> <head xml:id="echoid-head160" xml:space="preserve"><emph style="sc">Chap.</emph> I. Dans lequel l’vsilité des <lb/>Mechaniques eſt expliquée:</head> <head xml:id="echoid-head161" xml:space="preserve"><emph style="sc">Chap.</emph> II. Des definitions neceſſai-<lb/>res pour la ſcience de la <lb/>Mechanique.</head> <head xml:id="echoid-head162" xml:space="preserve"><emph style="sc">Chap.</emph> III. Des ſuppoſitions de cette <lb/>ſcience.</head> <head xml:id="echoid-head163" xml:space="preserve"><emph style="sc">Chap.</emph> IV. D’vn principe general.</head> <head xml:id="echoid-head164" xml:space="preserve"><emph style="sc">Chap.</emph> V. Aduertiſſement ſur les diſ-<lb/>cours precedens.</head> <head xml:id="echoid-head165" xml:space="preserve"><emph style="sc">Chap.</emph> VI. Du Tremeau, ou de la <lb/>Romaine de la Balance & <lb/>du Leuier.</head> <head xml:id="echoid-head166" xml:space="preserve"><emph style="sc">Chap.</emph> VII. Du tour de la Roue, de la <lb/>Grüe & du Cabeſian & c.</head> <head xml:id="echoid-head167" xml:space="preserve"><emph style="sc">Chap.</emph> VIII. De la nature & de la force <lb/>des Poulics.</head> <head xml:id="echoid-head168" xml:space="preserve"><emph style="sc">Chap.</emph> IX. De la viz.</head> <head xml:id="echoid-head169" xml:space="preserve"><emph style="sc">Chap.</emph> X. De la viz d’ Archimede qui <lb/>ſert à éleuer l’eau.</head> <head xml:id="echoid-head170" xml:space="preserve"><emph style="sc">Chap.</emph> XI. De la force de la Percuſsion. <lb/>Elpuis pluſieurs Additions.</head> <pb file="00278" n="277" rhead="Fantes de l’ Impreſſion corrigées."/> <p> <s xml:id="echoid-s3783" xml:space="preserve">Page 13. </s> <s xml:id="echoid-s3784" xml:space="preserve">l. </s> <s xml:id="echoid-s3785" xml:space="preserve">13. </s> <s xml:id="echoid-s3786" xml:space="preserve"><emph style="bf">inegaux.</emph> p. </s> <s xml:id="echoid-s3787" xml:space="preserve">16. </s> <s xml:id="echoid-s3788" xml:space="preserve">l. </s> <s xml:id="echoid-s3789" xml:space="preserve">2. </s> <s xml:id="echoid-s3790" xml:space="preserve">oſtez <emph style="bf">de</emph> <lb/>ligne 7. </s> <s xml:id="echoid-s3791" xml:space="preserve">& </s> <s xml:id="echoid-s3792" xml:space="preserve">8. </s> <s xml:id="echoid-s3793" xml:space="preserve">D S <emph style="bf">à</emph> C. </s> <s xml:id="echoid-s3794" xml:space="preserve"><emph style="bf">de</emph> page 21. </s> <s xml:id="echoid-s3795" xml:space="preserve">ligne 14. <lb/></s> <s xml:id="echoid-s3796" xml:space="preserve">aulieu de P. </s> <s xml:id="echoid-s3797" xml:space="preserve">üſez D. </s> <s xml:id="echoid-s3798" xml:space="preserve">p. </s> <s xml:id="echoid-s3799" xml:space="preserve">24. </s> <s xml:id="echoid-s3800" xml:space="preserve">l. </s> <s xml:id="echoid-s3801" xml:space="preserve">1. </s> <s xml:id="echoid-s3802" xml:space="preserve">au lieu de <emph style="bf">eſt</emph> <lb/><emph style="bf">égal</emph> liſez. </s> <s xml:id="echoid-s3803" xml:space="preserve"><emph style="bf">ſens chacune egales, l.</emph> 4. </s> <s xml:id="echoid-s3804" xml:space="preserve">au lieu de <emph style="bf">on</emph> <lb/>liſez <emph style="bf">& Atout au contraire.</emph> p. </s> <s xml:id="echoid-s3805" xml:space="preserve">15. </s> <s xml:id="echoid-s3806" xml:space="preserve">l .</s> <s xml:id="echoid-s3807" xml:space="preserve">18 pour <emph style="bf">ſap</emph> <lb/><emph style="bf">prochant</emph> liſez <emph style="bf">approchent.</emph> p.</s> <s xml:id="echoid-s3808" xml:space="preserve">26. </s> <s xml:id="echoid-s3809" xml:space="preserve">corrigez les <lb/>lettres de la 2 ligne & </s> <s xml:id="echoid-s3810" xml:space="preserve">pour A de l’antepenul. </s> <s xml:id="echoid-s3811" xml:space="preserve"><lb/>liſez E. </s> <s xml:id="echoid-s3812" xml:space="preserve">p. </s> <s xml:id="echoid-s3813" xml:space="preserve">28. </s> <s xml:id="echoid-s3814" xml:space="preserve">l1. </s> <s xml:id="echoid-s3815" xml:space="preserve"><emph style="bf">rnüe</emph> p.</s> <s xml:id="echoid-s3816" xml:space="preserve">30. </s> <s xml:id="echoid-s3817" xml:space="preserve">l. </s> <s xml:id="echoid-s3818" xml:space="preserve">7. </s> <s xml:id="echoid-s3819" xml:space="preserve">l’Organe. </s> <s xml:id="echoid-s3820" xml:space="preserve">I <lb/>25. </s> <s xml:id="echoid-s3821" xml:space="preserve">apres B liſez F p.</s> <s xml:id="echoid-s3822" xml:space="preserve">33. </s> <s xml:id="echoid-s3823" xml:space="preserve">ligne 6 <emph style="bf">l’extremit é</emph> <lb/>A. </s> <s xml:id="echoid-s3824" xml:space="preserve">l. </s> <s xml:id="echoid-s3825" xml:space="preserve">8. </s> <s xml:id="echoid-s3826" xml:space="preserve">poids l. </s> <s xml:id="echoid-s3827" xml:space="preserve">13. </s> <s xml:id="echoid-s3828" xml:space="preserve">au lieu de F. </s> <s xml:id="echoid-s3829" xml:space="preserve">liſęz C. </s> <s xml:id="echoid-s3830" xml:space="preserve">l. </s> <s xml:id="echoid-s3831" xml:space="preserve">25. </s> <s xml:id="echoid-s3832" xml:space="preserve"><lb/>apres fardeau liſ. </s> <s xml:id="echoid-s3833" xml:space="preserve">E. </s> <s xml:id="echoid-s3834" xml:space="preserve">l. </s> <s xml:id="echoid-s3835" xml:space="preserve">26 pour C. </s> <s xml:id="echoid-s3836" xml:space="preserve"><emph style="bf">liſez</emph> G. </s> <s xml:id="echoid-s3837" xml:space="preserve">p. </s> <s xml:id="echoid-s3838" xml:space="preserve"><lb/>34. </s> <s xml:id="echoid-s3839" xml:space="preserve">l. </s> <s xml:id="echoid-s3840" xml:space="preserve">1 A G. </s> <s xml:id="echoid-s3841" xml:space="preserve">l. </s> <s xml:id="echoid-s3842" xml:space="preserve">3. </s> <s xml:id="echoid-s3843" xml:space="preserve"><emph style="bf">poiàs. I.</emph> 10. </s> <s xml:id="echoid-s3844" xml:space="preserve">pout E. </s> <s xml:id="echoid-s3845" xml:space="preserve">liſez. </s> <s xml:id="echoid-s3846" xml:space="preserve">C. </s> <s xml:id="echoid-s3847" xml:space="preserve"><lb/>p. </s> <s xml:id="echoid-s3848" xml:space="preserve">37. </s> <s xml:id="echoid-s3849" xml:space="preserve">l. </s> <s xml:id="echoid-s3850" xml:space="preserve">16. </s> <s xml:id="echoid-s3851" xml:space="preserve">apres <emph style="bf">immobile</emph> liſez A. </s> <s xml:id="echoid-s3852" xml:space="preserve">F. </s> <s xml:id="echoid-s3853" xml:space="preserve">41 l. </s> <s xml:id="echoid-s3854" xml:space="preserve">8. </s> <s xml:id="echoid-s3855" xml:space="preserve"><lb/>pour des liſ.</s> <s xml:id="echoid-s3856" xml:space="preserve">du l. </s> <s xml:id="echoid-s3857" xml:space="preserve">24. </s> <s xml:id="echoid-s3858" xml:space="preserve">pour E liſez <emph style="bf">&.</emph> p. </s> <s xml:id="echoid-s3859" xml:space="preserve">45. </s> <s xml:id="echoid-s3860" xml:space="preserve">l. </s> <s xml:id="echoid-s3861" xml:space="preserve">8 <lb/>pour B liſ. </s> <s xml:id="echoid-s3862" xml:space="preserve">D. </s> <s xml:id="echoid-s3863" xml:space="preserve">p. </s> <s xml:id="echoid-s3864" xml:space="preserve">51. </s> <s xml:id="echoid-s3865" xml:space="preserve">l. </s> <s xml:id="echoid-s3866" xml:space="preserve">antep. </s> <s xml:id="echoid-s3867" xml:space="preserve">pour <emph style="bf">parce,</emph> liſ. </s> <s xml:id="echoid-s3868" xml:space="preserve"><emph style="bf">par.</emph> <lb/>p. </s> <s xml:id="echoid-s3869" xml:space="preserve">52. </s> <s xml:id="echoid-s3870" xml:space="preserve">l. </s> <s xml:id="echoid-s3871" xml:space="preserve">penul. </s> <s xml:id="echoid-s3872" xml:space="preserve">B M. </s> <s xml:id="echoid-s3873" xml:space="preserve">p. </s> <s xml:id="echoid-s3874" xml:space="preserve">53 adioútez la lettre P. </s> <s xml:id="echoid-s3875" xml:space="preserve"><lb/>au bas de la figure. </s> <s xml:id="echoid-s3876" xml:space="preserve">p. </s> <s xml:id="echoid-s3877" xml:space="preserve">57. </s> <s xml:id="echoid-s3878" xml:space="preserve">l. </s> <s xml:id="echoid-s3879" xml:space="preserve">10. </s> <s xml:id="echoid-s3880" xml:space="preserve">C A.</s> <s xml:id="echoid-s3881" xml:space="preserve">p. </s> <s xml:id="echoid-s3882" xml:space="preserve">78. </s> <s xml:id="echoid-s3883" xml:space="preserve"><lb/>l. </s> <s xml:id="echoid-s3884" xml:space="preserve">derniere effacez par.</s> <s xml:id="echoid-s3885" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3886" xml:space="preserve">S’ily a quelqu autre faute, le lecteur iudi-<lb/>cieux la ſuppleera.</s> <s xml:id="echoid-s3887" xml:space="preserve"/> </p> <pb file="00279" n="278" rhead="PRIVILEGE DV ROT."/> <p> <s xml:id="echoid-s3888" xml:space="preserve"><emph style="bf">P</emph>Ar lettes du Roy donnees à Paris <lb/>le mois d’ Aouſt de l’année 1629. <lb/></s> <s xml:id="echoid-s3889" xml:space="preserve">ſignees Perrochel, & </s> <s xml:id="echoid-s3890" xml:space="preserve">ſeelees du grand <lb/>ſceau de cire iaune, il eft permis au <lb/>P. </s> <s xml:id="echoid-s3891" xml:space="preserve">M. </s> <s xml:id="echoid-s3892" xml:space="preserve">Merſenne Religieux Minime <lb/>de faire imprimer par tel Libraire que <lb/>bon luy ſemblera <emph style="bf">Pluſieurs Traittez de</emph> <lb/><emph style="bf">Philoſophie, de Theologie, & de Mathema-</emph> <lb/><emph style="bf">tique.</emph></s> <s xml:id="echoid-s3893" xml:space="preserve">Et deffences ſont faites à toutes <lb/>perſonnes de quelque qualité qu’ils <lb/>ſoient de les faire imprimer, vendre & </s> <s xml:id="echoid-s3894" xml:space="preserve"><lb/>diftribuer pendantle temps de ſix ans à <lb/>compter du iour que leſdits liures ſe-<lb/>ront acheuez d’imprimer, comme il <lb/>eſt plus amplement porté dans les let-<lb/>tres dudit Priuilege.</s> <s xml:id="echoid-s3895" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3896" xml:space="preserve">Etledit P. </s> <s xml:id="echoid-s3897" xml:space="preserve">M. </s> <s xml:id="echoid-s3898" xml:space="preserve">Merſenne à conſenty & </s> <s xml:id="echoid-s3899" xml:space="preserve">con-<lb/>ſent que Henry Guenon ioüiſſe dudit Pri-<lb/>uilege, comme il eſt plus amplement decla-<lb/>ré par l’ accord fait entr eux.</s> <s xml:id="echoid-s3900" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3901" xml:space="preserve">Et leſdits liures ont eſté acheués d’imprimer le <lb/>30. </s> <s xml:id="echoid-s3902" xml:space="preserve">luin 1634.</s> <s xml:id="echoid-s3903" xml:space="preserve"/> </p> <pb o="1" file="00280" n="279"/> <figure> <image file="00280-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00280-01"/> </figure> </div> <div xml:id="echoid-div105" type="section" level="1" n="102"> <head xml:id="echoid-head171" xml:space="preserve"><emph style="bf">LES MECHANIQVES DE GALILEE FLOREN-TIN, <emph style="sc">Ingenievr et</emph></emph></head> <head xml:id="echoid-head172" xml:space="preserve"><emph style="bf">Mathematicien du Duc de Florence.</emph></head> <head xml:id="echoid-head173" xml:space="preserve"><emph style="bf">CHAPITRE PREMIER.</emph></head> <head xml:id="echoid-head174" xml:space="preserve"><emph style="bf">Dans lequel on void la Preface quimonſtre</emph> <lb/><emph style="bf">l’vtilité des Machines.</emph></head> <p> <s xml:id="echoid-s3904" xml:space="preserve"><emph style="bf">A</emph><emph style="sc">Vant</emph> que d’entrepren-<lb/>dre la ſpeculation des in-<lb/>ſtrumens de la Mechani-<lb/>que, il faut remarquer en <lb/>general les commoditez, & </s> <s xml:id="echoid-s3905" xml:space="preserve">@les profits <lb/>que l’on en peut tirer, afin que les arti-<lb/>ſans ne croyent pas qu’ils puiſſent ſeruir <lb/>aux operations, dontils ne ſont pas ca- <pb o="2" file="00281" n="280" rhead="Les Mechaniques"/> pables, & </s> <s xml:id="echoid-s3906" xml:space="preserve">que l’on puiſſe leuer de grãds <lb/>fardeaux auec peu de force: </s> <s xml:id="echoid-s3907" xml:space="preserve">car la na-<lb/>ture ne peut eſtre trompée, ni ceder à <lb/>ſes droits: </s> <s xml:id="echoid-s3908" xml:space="preserve">& </s> <s xml:id="echoid-s3909" xml:space="preserve">nulle reſiſtence ne peut <lb/>eſtre ſurmontée que par vne plus gran-<lb/>de force, comme ie feray voir apres: </s> <s xml:id="echoid-s3910" xml:space="preserve">& </s> <s xml:id="echoid-s3911" xml:space="preserve"><lb/>conſequemment les Machines ne peu-<lb/>uent ſeruir à leuer de plus grands far-<lb/>deaux que ceux qu’vne force égale <lb/>peut leuer ſans l’ayde d’aucun inſtru-<lb/>ment: </s> <s xml:id="echoid-s3912" xml:space="preserve">c’eſt pourquoy il faut expliquer <lb/>les vrayes vtilitez des Machines, afin <lb/>que l’on ne trauille pas en vain, & </s> <s xml:id="echoid-s3913" xml:space="preserve">que <lb/>l’eſtude que l’on fera, reüſſiſſe heureu-<lb/>ſement.</s> <s xml:id="echoid-s3914" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3915" xml:space="preserve">Il faut doncicy conſiderer 4. </s> <s xml:id="echoid-s3916" xml:space="preserve">choſes, <lb/>à ſçauoir le fardeau que l’on veut tranſ-<lb/>porter d’vn lieu à vn autre: </s> <s xml:id="echoid-s3917" xml:space="preserve">la force qui <lb/>le doit mouuoir; </s> <s xml:id="echoid-s3918" xml:space="preserve">la diſtance par laquel-<lb/>le ſe fait le mouuement; </s> <s xml:id="echoid-s3919" xml:space="preserve">& </s> <s xml:id="echoid-s3920" xml:space="preserve">le temps <lb/>dudit mouuement, parce qu’il ſert pour <lb/>en determiner la viſteſſe, puis qu’elle <lb/>eſt d’autant plus grande que le corps <lb/>mobile, ou le fardeau paſſe par vne plus <lb/>grande diſtance en meſme temps: </s> <s xml:id="echoid-s3921" xml:space="preserve">de <lb/>ſorte que ſi l’on ſuppoſe telle reſiſtence, <lb/>telle force, & </s> <s xml:id="echoid-s3922" xml:space="preserve">telle diſtãce determinée <lb/>que l’on voudra, il n’y a nul doute que <pb o="3" file="00282" n="281" rhead="de Galilée Florentin."/> la force requiſe conduira le fardeau à <lb/>la diſtance donnée, quoy que ladite <lb/>force ſoit treſ-petite, pourueu que l’on <lb/>diuiſe le fardeau en tant de parties que <lb/>la force en puiſſe mouuoir vne, car elle <lb/>les trãſportera toutes les vnes apres les <lb/>autres, d’où il ſ’enſuit que la moindre <lb/>force du monde peut tranſporter tel <lb/>poids que l’on voudra.</s> <s xml:id="echoid-s3923" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3924" xml:space="preserve">Mais l’on ne peut dire à la fin du trãſ-<lb/>port, que l’on ayt remué vn grand far-<lb/>deau auec peu de force, puis qu’elle a <lb/>touſiours eſté égale à chaque partie du <lb/>fardeau: </s> <s xml:id="echoid-s3925" xml:space="preserve">de maniere que l’on ne gaigne <lb/>rien auec les inſtrumens, dautant que ſi <lb/>l’on applique vne petite force à vn grãd <lb/>fardeau, il faut beaucoup de temps, & </s> <s xml:id="echoid-s3926" xml:space="preserve"><lb/>que ſi l’on veut le tranſporter en peu de <lb/>temps, il faut vne grande force. </s> <s xml:id="echoid-s3927" xml:space="preserve">D’où <lb/>l’on peut conclurre qu’il eſt impoſſible <lb/>qu’vne petite force tranſporte vn grãd <lb/>poids dans moins de temps qu’vne plus <lb/>grande force.</s> <s xml:id="echoid-s3928" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3929" xml:space="preserve">Neantmoins les Machines ſont vti-<lb/>les pour mouuoir de grands fardeaux <lb/>tout d’vn coup ſans les diuiſer, parco <lb/>que l’on a ſouuent beaucoup de temps, <lb/>& </s> <s xml:id="echoid-s3930" xml:space="preserve">peu de force, c’eſt pourquoy la lon- <pb o="4" file="00283" n="282" rhead="Les Mechaniqües"/> gueur du temps recompenſe le peu de <lb/>force: </s> <s xml:id="echoid-s3931" xml:space="preserve">Mais celuy-là ſe tromperoit qui <lb/>voudroit abreger le temps en n’vſant <lb/>que d’vne petite force, & </s> <s xml:id="echoid-s3932" xml:space="preserve">monſtreroit <lb/>qu’il n’entend pas la nature des Machi-<lb/>nes, ny la raiſon de leurs effets.</s> <s xml:id="echoid-s3933" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3934" xml:space="preserve">La ſeconde vtilité des inſtrumens <lb/>conſiſte en ce qu’on les applique à des <lb/>lieux dõt on ne pourroit tirer, ou tranſ-<lb/>porter les fardeaux, & </s> <s xml:id="echoid-s3935" xml:space="preserve">beaucoup de <lb/>choſes ſans leurayde, comme l’on ex-<lb/>perimĕte aux puits, dõt on tire de l’eau <lb/>auec vne chorde attachée aux poulies, <lb/>ou aux arbres des roües, par le moyen <lb/>deſquelles on en tire vne quãtité, dans <lb/>vncertain tĕps, auecvne force limitée, <lb/>ſans qu’il ſoit poſſible d’ĕ tirer vne plus <lb/>grande quantité auec vne force égale, <lb/>& </s> <s xml:id="echoid-s3936" xml:space="preserve">en meſme temps. </s> <s xml:id="echoid-s3937" xml:space="preserve">Auſſi les pompes <lb/>qui vuident le font des Nauires, n’ont <lb/>elles pas eſté inuentées pour puiſer, & </s> <s xml:id="echoid-s3938" xml:space="preserve"><lb/>tirer vne plus grande quantité d’eau <lb/>dans le meſme temps, & </s> <s xml:id="echoid-s3939" xml:space="preserve">par la meſme <lb/>force dont on vſe en puiſant auec vn <lb/>ſeau, mais parce qu’il eſt inutile à cet <lb/>effet, dautant qu’il ne peut puiſer l’eau <lb/>ſans ſ’enfoncer dedans, car il faudroit <lb/>le coucher au fond pour puiſer obli- <pb o="5" file="00284" n="283" rhead="de Galilée Florentin."/> quement le peu d’eau quireſte: </s> <s xml:id="echoid-s3940" xml:space="preserve">ce qui <lb/>ne peut arriuer, quand on le deſcend <lb/>auec vne chorde, qui le porte perpen-<lb/>diculairemĕt: </s> <s xml:id="echoid-s3941" xml:space="preserve">mais la pompe tire l’eau <lb/>inſques à la derniere goute.</s> <s xml:id="echoid-s3942" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s3943" xml:space="preserve">La 3. </s> <s xml:id="echoid-s3944" xml:space="preserve">vtilité des Machines eſt tres-<lb/>grande, parce que l’on euite les grands <lb/>frais & </s> <s xml:id="echoid-s3945" xml:space="preserve">le couſt en vsãt d’vne force ina-<lb/>nimée, ou ſans raiſon, qui fait les meſ-<lb/>mes choſes que la force des hommes <lb/>animée, & </s> <s xml:id="echoid-s3946" xml:space="preserve">conduite par le iugement, <lb/>comme il arriue lors que l’on fait meu-<lb/>dre les moulins auec l’eau des eſtangs, <lb/>ou des fleuues, ou auec vn cheual, qui <lb/>ſupplée la force de 5. </s> <s xml:id="echoid-s3947" xml:space="preserve">ou 6. </s> <s xml:id="echoid-s3948" xml:space="preserve">hommes. </s> <s xml:id="echoid-s3949" xml:space="preserve">Et <lb/>parce que le cheual a vne grande for-<lb/>ce, & </s> <s xml:id="echoid-s3950" xml:space="preserve">qu’il manque de diſcours, l’on <lb/>ſupplée le raiſonnement neceſſaire, par <lb/>le moyen des roües & </s> <s xml:id="echoid-s3951" xml:space="preserve">des autres Ma-<lb/>chines qui ſont ébranlées par la force <lb/>du cheual, & </s> <s xml:id="echoid-s3952" xml:space="preserve">qui rempliſſent, & </s> <s xml:id="echoid-s3953" xml:space="preserve">tranſ-<lb/>portent le vaiſſeau d’vn lieu à l’autre & </s> <s xml:id="echoid-s3954" xml:space="preserve"><lb/>qui le vuident ſuiuant le deſſein de l’ In-<lb/>genieur. </s> <s xml:id="echoid-s3955" xml:space="preserve">Or il faut conclurre de tout <lb/>ce diſcours que l’on ne peut riĕ gaigner <lb/>en force que l’on ne le perde en temps, <lb/>& </s> <s xml:id="echoid-s3956" xml:space="preserve">que la plus grande vtilité des Machi-<lb/>ues cõſiſte à épargner la dépence, com- <pb o="6" file="00285" n="284" rhead="Les Mechaniques"/> me i’ay monſtré, & </s> <s xml:id="echoid-s3957" xml:space="preserve">conſequemment <lb/>que ceux qui trauaillent à ſuppléer la <lb/>force, & </s> <s xml:id="echoid-s3958" xml:space="preserve">le temps tout enſemble, ne <lb/>meritent nullement d’auoir du temps, <lb/>puis qu’ils l’employent ſi mal, comme <lb/>l’on verra à la ſuitte de ce traité.</s> <s xml:id="echoid-s3959" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div106" type="section" level="1" n="103"> <head xml:id="echoid-head175" xml:space="preserve"><emph style="bf"><emph style="sc">Chap.</emph> II.</emph></head> <head xml:id="echoid-head176" xml:space="preserve"><emph style="bf">Des definitions, neceſſaires pour la ſcience</emph> <lb/><emph style="bf">des Mechaniques.</emph></head> <p> <s xml:id="echoid-s3960" xml:space="preserve"><emph style="bf">N</emph>Ous commençons ce traité par les <lb/>definitiõs, & </s> <s xml:id="echoid-s3961" xml:space="preserve">par les ſuppoſitiõs qui <lb/>ſont propres à cet art, afin d’en tirer les <lb/>cauſes, & </s> <s xml:id="echoid-s3962" xml:space="preserve">les raiſons de tout ce qui ar-<lb/>riue aux Machines, dont il faut expli-<lb/>quer les effects, car chaque ſcience a ſes <lb/>de ſinitions & </s> <s xml:id="echoid-s3963" xml:space="preserve">ſes principes, qui ſont cõ-<lb/>me des ſemencęs treſ-fecondes, deſ-<lb/>quelles naiſſent toutes les concluſions, <lb/>& </s> <s xml:id="echoid-s3964" xml:space="preserve">le fruict que l’on en pretend retirer, <lb/>Or puis que les Machines ſeruent ordi-<lb/>nairement pour tranſporter les choſes <lb/>peſantes, nous commençons par la de-<lb/>finition de la <emph style="bf">peſanteur</emph>, que l’on peut <lb/>auſſi nommer <emph style="bf">grauité.</emph></s> </p> <pb o="7" file="00286" n="285" rhead="de Galilée Florentin."/> </div> <div xml:id="echoid-div107" type="section" level="1" n="104"> <head xml:id="echoid-head177" xml:space="preserve"><emph style="bf">Premiere definition.</emph></head> <p> <s xml:id="echoid-s3965" xml:space="preserve">La <emph style="bf">peſanteur</emph> d’vn’corps eſt l’inclina-<lb/>tion naturelle qu’il a pour ſe mouuoir, <lb/>& </s> <s xml:id="echoid-s3966" xml:space="preserve">ſe porter en bas vers le centre de la <lb/>terre. </s> <s xml:id="echoid-s3967" xml:space="preserve">Cette peſanteur ſe rencontro <lb/>dans les corps peſans à raiſon de la quã-<lb/>tité des parties materielles, dont ils sõt <lb/>compoſez; </s> <s xml:id="echoid-s3968" xml:space="preserve">de ſorte qu’ils ſont dautant <lb/>plus peſans qu’ils ont vne plus grande <lb/>quantité deſdites parties ſouz vn meſ-<lb/>me volume.</s> <s xml:id="echoid-s3969" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div108" type="section" level="1" n="105"> <head xml:id="echoid-head178" xml:space="preserve"><emph style="bf">Deuxieſme definition.</emph></head> <p> <s xml:id="echoid-s3970" xml:space="preserve">Le <emph style="bf">moment</emph> eſt l’inclination du meſ-<lb/>me corps, lors qu’elle n’eſt pas ſeule-<lb/>ment conſiderée dans ledit corps, mais <lb/>conioinctement auec la ſituation qu’il <lb/>a ſur le bras d’vn leuier, ou d’vne balan-<lb/>ce; </s> <s xml:id="echoid-s3971" xml:space="preserve">& </s> <s xml:id="echoid-s3972" xml:space="preserve">cette ſituation fait qu’il contre-<lb/>peſe ſouuent à vn plus grands poids, à <lb/>raiſon de ſa plus grãde diſtance d’auee <lb/>le centre de la balance. </s> <s xml:id="echoid-s3973" xml:space="preserve">Car cet éloi-<lb/>gnement eſtant ioint à la propre pefan-<lb/>teur du corps peſant, luy dõne vne plus <lb/>forte inclination à deſcendre: </s> <s xml:id="echoid-s3974" xml:space="preserve">de ſorte <pb o="8" file="00287" n="286" rhead="Les Mechaniques"/> que cette inclination eſt compoſée de <lb/>la peſanteur abſoluë du corps, & </s> <s xml:id="echoid-s3975" xml:space="preserve">de l’é-<lb/>loignement du centre de la balance, ou <lb/>de l’appuy du leuier. </s> <s xml:id="echoid-s3976" xml:space="preserve">Nous appellerons <lb/>donc touſiours cette inclination com-<lb/>poſée, <emph style="bf">moment</emph>, qui répond au ῥοωὴ des <lb/>Grecs.</s> <s xml:id="echoid-s3977" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div109" type="section" level="1" n="106"> <head xml:id="echoid-head179" xml:space="preserve"><emph style="bf">Troiſieſme definition.</emph></head> <p> <s xml:id="echoid-s3978" xml:space="preserve">Le centre de peſanteur de chaque <lb/>corps eſt le point autour duquel toutes <lb/>les parties dudit corps ſont également <lb/>balancées, ou équiponderantes: </s> <s xml:id="echoid-s3979" xml:space="preserve">de ſor-<lb/>te que ſi l’on ſ’imagine que le corps ſoit <lb/>ſouſtenu, ou ſuſpendu pat ledit point, <lb/>les parties qui ſont à main àroite, con-<lb/>trepeſeront à celles de la gauche, celles <lb/>de derriere à celles de deuant, & </s> <s xml:id="echoid-s3980" xml:space="preserve">celles <lb/>d’enhaut à celles d’en bas, & </s> <s xml:id="echoid-s3981" xml:space="preserve">ſe tien-<lb/>dront tellement en équilibre, que le <lb/>corps ne s’inclinera d’vn coſté ni d’au-<lb/>tre, quelque ſituation qu’on luy puiſſe <lb/>donner, & </s> <s xml:id="echoid-s3982" xml:space="preserve">qu’il demeurera touſiours <lb/>en cet eſtat. </s> <s xml:id="echoid-s3983" xml:space="preserve">Or le centre de peſanteur <lb/>eſt le point du corps qui s’vniroit au cĕ-<lb/>tre des choſes peſantes, c’eſt à dire au <lb/>centre de la terre, s’il y pouuoit deſcen-<lb/>dre.</s> <s xml:id="echoid-s3984" xml:space="preserve"/> </p> <pb o="9" file="00288" n="287" rhead="de Galilée Florentin."/> </div> <div xml:id="echoid-div110" type="section" level="1" n="107"> <head xml:id="echoid-head180" xml:space="preserve"><emph style="bf"><emph style="sc">Chap.</emph> III.</emph></head> <head xml:id="echoid-head181" xml:space="preserve"><emph style="bf">Des ſuppoſitions de cet art.</emph></head> <head xml:id="echoid-head182" xml:space="preserve"><emph style="bf">I. SVPPOSITION.</emph></head> <p> <s xml:id="echoid-s3985" xml:space="preserve">TOut corps peſant ſe meut telle-<lb/>ment en bas que le centre de ſa <lb/>peſanteur ne ſort iamais hors de la ligne <lb/>droite, qui eſt décrite, ou imaginée de-<lb/>puis ledit centre de peſanteur iuſques <lb/>à celuy de la terre. </s> <s xml:id="echoid-s3986" xml:space="preserve">Ce qui eſt ſuppoſé <lb/>auec raiſon, car puis que le centre de <lb/>peſanteur de chaque corps ſe doit aller <lb/>vnir au centre commun des choſes pe-<lb/>ſantes, il eſt neceſſaire qu’il y aille par <lb/>le chemin le plus court, c’eſt à dire par <lb/>la ligne droite, s’il n’a point d’empeſ-<lb/>chement.</s> <s xml:id="echoid-s3987" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div111" type="section" level="1" n="108"> <head xml:id="echoid-head183" xml:space="preserve"><emph style="bf">II. SVPPOSITION.</emph></head> <p> <s xml:id="echoid-s3988" xml:space="preserve">Chaque corps peſe principalement <lb/>ſur le centre de ſa peſanteur, dans le-<lb/>quel il ramaſſe, & </s> <s xml:id="echoid-s3989" xml:space="preserve">vnit toute ſon impe-<lb/>tuoſité, & </s> <s xml:id="echoid-s3990" xml:space="preserve">ſa peſanteur.</s> <s xml:id="echoid-s3991" xml:space="preserve"/> </p> <pb o="10" file="00289" n="288" rhead="Les Mechaniques"/> </div> <div xml:id="echoid-div112" type="section" level="1" n="109"> <head xml:id="echoid-head184" xml:space="preserve"><emph style="bf">III. SVPPOSITION.</emph></head> <p> <s xml:id="echoid-s3992" xml:space="preserve">Le centre de la peſanteur de deux <lb/>corps également peſans eſt au milieu <lb/>de la ligne droite qui conioint les cen-<lb/>tres de peſanteur deſdits corps; </s> <s xml:id="echoid-s3993" xml:space="preserve">c’eſt à <lb/>dire que deux corps également peſans, <lb/>& </s> <s xml:id="echoid-s3994" xml:space="preserve">également éloignez de l’appuy de la <lb/>balance ont le point de leur équilibre <lb/>au milieu de la commune conjonction <lb/>de leurs éloignemens égaux: </s> <s xml:id="echoid-s3995" xml:space="preserve">par exem <lb/>ple, la diſtance C A, eſtant égale à la <lb/>diſtance C B, & </s> <s xml:id="echoid-s3996" xml:space="preserve">les deux poids égaux <lb/>G & </s> <s xml:id="echoid-s3997" xml:space="preserve">H, eſtant ſuſpendus aux points A <lb/>& </s> <s xml:id="echoid-s3998" xml:space="preserve">B, il n’y a nulle raiſon pour laquelle <lb/>ils doiuent pluſtoſt s’incliner d’vn coſté <lb/>que de l’autre.</s> <s xml:id="echoid-s3999" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4000" xml:space="preserve">Mais il faut remarquer que la diſtan-<lb/>ce des poids, ou des corps peſans d’auec <lb/> <anchor type="figure" xlink:label="fig-00289-01a" xlink:href="fig-00289-01"/> l’appuy <lb/>ſe doit <lb/>meſuret <lb/>par les li-<lb/>gnes perpĕdiculaires, qui tombent des <lb/>points de la ſuſpenſiõ, ou des centres de <lb/>la peſanteur de chaque corps iuſques <lb/>au centre de la terre. </s> <s xml:id="echoid-s4001" xml:space="preserve">De là vient que <pb o="11" file="00290" n="289" rhead="de Galée Florentin."/> la diſtance B C, eſtant tranſportée en <lb/>CD, le poids D ne contrepeſera plus au <lb/>poids A, parce que la ligne tirée du <lb/>point de ſuſpenſion, ou du centre de <lb/>peſanteur du poids D iuſques au cĕtre <lb/>de la terre, ſera plus proche de l’appuy <lb/>C, que l’autre ligne tirée du point de la <lb/>ſuſpĕſion de B, ou du cĕtre de peſanteur <lb/>du poids H. </s> <s xml:id="echoid-s4002" xml:space="preserve">Il eſt donc neceſſaire que <lb/>les poids égaux ſoient tellement ſuſ-<lb/>pendus de diſtances égales, que les li-<lb/>gnes perpĕdiculaires tirées par les cen-<lb/>tres de leurs peſanteurs au centre de la <lb/>terre, ſe trouuent égallemĕt éloignées <lb/>de l’appuy C, lors qu’elles paſſeront <lb/>vis à vis d’iceluy.</s> <s xml:id="echoid-s4003" xml:space="preserve"/> </p> <div xml:id="echoid-div112" type="float" level="2" n="1"> <figure xlink:label="fig-00289-01" xlink:href="fig-00289-01a"> <image file="00289-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00289-01"/> </figure> </div> </div> <div xml:id="echoid-div114" type="section" level="1" n="110"> <head xml:id="echoid-head185" xml:space="preserve"><emph style="bf">PREMIERE ADDITION.</emph></head> <p> <s xml:id="echoid-s4004" xml:space="preserve">La figure qui ſuit explique mieux le <lb/>diſcours precedent, car il eſt euident <lb/>que le poids E qui pend au leuier A B <lb/>éleué en E ne peſe que cõme s’il eſtoit <lb/>au point K; </s> <s xml:id="echoid-s4005" xml:space="preserve">& </s> <s xml:id="echoid-s4006" xml:space="preserve">quand il eſt en G, il ne <lb/>peſe que comme s’il eſtoit au point I. <lb/></s> <s xml:id="echoid-s4007" xml:space="preserve">Or l’õ peut s’inſtruire de pluſieurs cho-<lb/>ſes par cette figure; </s> <s xml:id="echoid-s4008" xml:space="preserve">dont nous parlerõs <lb/>apres, ie diray ſeulementicy que N O, <pb o="12" file="00291" n="290" rhead="Les Mechaniques"/> repreſente auſſi vn leuier parallele à <lb/> <anchor type="figure" xlink:label="fig-00291-01a" xlink:href="fig-00291-01"/> BA, ou ſi l’on <lb/>veut, vne balan-<lb/>ce, dont le cĕtre <lb/>ou l’appuy eſt en <lb/>D, & </s> <s xml:id="echoid-s4009" xml:space="preserve">que ce le-<lb/>uier peut ſeruir <lb/>pour abbaiſſer <lb/>les corps legers, <lb/>comme il arriue-<lb/>roit ſi l’air eſtoit retenu dans l’eau: </s> <s xml:id="echoid-s4010" xml:space="preserve">par <lb/>exemple, ſi L M eſtoient des veſſies <lb/>rémplies d’air, car de n’ageantes qu’el-<lb/>les ſeroient ſur l’eau, la force appliquée <lb/>à N hauſſant N vers A feroit abbaiſſer <lb/>ledit air; </s> <s xml:id="echoid-s4011" xml:space="preserve">de ſorte que la Mechanique <lb/>peut auſſi bien s’appliquer, & </s> <s xml:id="echoid-s4012" xml:space="preserve">ſeruir <lb/>pour abbaiſer les corps legers, comme <lb/>pour hauſſer les peſans.</s> <s xml:id="echoid-s4013" xml:space="preserve"/> </p> <div xml:id="echoid-div114" type="float" level="2" n="1"> <figure xlink:label="fig-00291-01" xlink:href="fig-00291-01a"> <image file="00291-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00291-01"/> </figure> </div> </div> <div xml:id="echoid-div116" type="section" level="1" n="111"> <head xml:id="echoid-head186" xml:space="preserve"><emph style="sc">Chap</emph>. IV.</head> <head xml:id="echoid-head187" xml:space="preserve">Dans lequel l’vn des principes generaux. s <lb/>Mechaniques eſt expliqué.</head> <p> <s xml:id="echoid-s4014" xml:space="preserve">APres auoir expliqué les ſuppoſi-<lb/>tions, il faut eſtablir vn principe <pb o="13" file="00292" n="291" rhead="de Galilée Florentin."/> general, qui ſert pour demonſtrer ce <lb/>qui arriue à toutes ſortes de Machines, <lb/>à ſçauoir que les poids inegaux ſuſpen-<lb/>dus à des diſtances inégales peſent éga-<lb/>lement, & </s> <s xml:id="echoid-s4015" xml:space="preserve">ſont en équilibre, quand leſ-<lb/>dites diſtances ont meſme proportion <lb/>entr’elles que les poids. </s> <s xml:id="echoid-s4016" xml:space="preserve">Ce qu’il faut <lb/>demonſtrer par la troiſieſine ſuppoſi-<lb/>tion, dans laquelle il eſt dit, que les <lb/>poids égaux peſent égalemĕt lors qu’ils <lb/>ſont également éloignez de l’appuy: </s> <s xml:id="echoid-s4017" xml:space="preserve">car <lb/>c’eſt vne meſme choſe que d’attacher <lb/>des poids égaux à des diſtãces inégales. <lb/></s> <s xml:id="echoid-s4018" xml:space="preserve">Ce qui ſe demonſtre par cette figure, <lb/> <anchor type="figure" xlink:label="fig-00292-01a" xlink:href="fig-00292-01"/> dãs laquel-<lb/>le D E C F <lb/>repreſente <lb/>vn cylindre <lb/>homogene, <lb/>ou de meſ-<lb/>me nature <lb/>en toutes ſes parties, lequel eſt attaché <lb/>par ſes deux bouts C & </s> <s xml:id="echoid-s4019" xml:space="preserve">D aux points <lb/>A B, de ſorte que la ligne A B eſt égale <lb/>à la hauteur du cylindre C F.</s> <s xml:id="echoid-s4020" xml:space="preserve"/> </p> <div xml:id="echoid-div116" type="float" level="2" n="1"> <figure xlink:label="fig-00292-01" xlink:href="fig-00292-01a"> <image file="00292-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00292-01"/> </figure> </div> <p> <s xml:id="echoid-s4021" xml:space="preserve">Il eſt certain que ſi on l’attache par le <lb/>milieu au point G, qu’il ſera en équili-<lb/>bre, parce que ſi l’on tiroit vne ligne <pb o="14" file="00293" n="292" rhead="Les Mechaniques"/> droite du point G au centre de la terre, <lb/>elle paſſeroit par le centre de la peſan-<lb/>teur du ſolide E F, & </s> <s xml:id="echoid-s4022" xml:space="preserve">par conſequent <lb/>toutes les parties qui ſont à l’entour de <lb/>ce centre ſeroient en équilibre, par la 3. <lb/></s> <s xml:id="echoid-s4023" xml:space="preserve">definition, car c’eſt meſme choſe que ſi <lb/>l’on attachoit les deux moitiez du cy-<lb/>lindre aux deux points A & </s> <s xml:id="echoid-s4024" xml:space="preserve">B.</s> <s xml:id="echoid-s4025" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4026" xml:space="preserve">Suppoſons maintenant que le cylin-<lb/>dre ſoit couppé en deux parties inéga-<lb/>les par les points, ou par la ligne S I, il <lb/>eſt certain qu’elles ne ſeront pas équi-<lb/>libres, & </s> <s xml:id="echoid-s4027" xml:space="preserve">conſequemment qu’elles ne <lb/>demeureront pas en la ſituation prece-<lb/>dente, n’ayant point d’autre ſouſtien <lb/>qu’aux points A & </s> <s xml:id="echoid-s4028" xml:space="preserve">B. </s> <s xml:id="echoid-s4029" xml:space="preserve">Mais ſi l’on atta-<lb/>che vne chorde au point H, pour ſou-<lb/>ſtenir le poids pat le point I, G ſera en-<lb/>core le centre de l’équilibre, parce que <lb/>l’on n’a pas changé la peſanteur, ny la <lb/>ſituation des parties du cylindre.</s> <s xml:id="echoid-s4030" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4031" xml:space="preserve">D’où il s’enſuit que n’y ayant point de <lb/>changement aux parties du poids, ny <lb/>dans leur ſituation à l’égard de la ligne <lb/>A B, le meſme point G demeurera le <lb/>centre de l’équilibre, comme il l’a eſté <lb/>dés le commencement. </s> <s xml:id="echoid-s4032" xml:space="preserve">Car puis que <lb/>la partie E S retiendra touſiours la meſ- <pb o="15" file="00294" n="293" rhead="de Galilée Florentin."/> me diſpoſition que la ligne A H, à la-<lb/>quelle elle ſera parallele, ſi l’on y ad-<lb/>iouſte le lien N L pour ſouſtenir S D <lb/>par ſon centre de peſanteur, & </s> <s xml:id="echoid-s4033" xml:space="preserve">ſi l’on <lb/>adiouſte ſemblablement le lien M K <lb/>pour ſouſtenir la partie du cylindre C S <lb/>diſiointe d’auec S D, il n’y a nul doute <lb/>que ces deux parties demeureront en-<lb/>core en équilibre au point G. </s> <s xml:id="echoid-s4034" xml:space="preserve">Par où <lb/>l’on void que ces 2. </s> <s xml:id="echoid-s4035" xml:space="preserve">parties eſtant ainſi <lb/>ſuſpenduës, & </s> <s xml:id="echoid-s4036" xml:space="preserve">attachées ont vn mo-<lb/>ment égal, lequel eſt l’origine, & </s> <s xml:id="echoid-s4037" xml:space="preserve">la <lb/>ſource de l’équilibre du point G. </s> <s xml:id="echoid-s4038" xml:space="preserve">en fai-<lb/>ſant que la diſtance G N ſoit d’autant <lb/>plus grande que la diſtance G M, que <lb/>la partie du cylindre E S eſt plus gran-<lb/>de que la partie S D. </s> <s xml:id="echoid-s4039" xml:space="preserve">Ce qu’il eſt ayſé <lb/>de dernonſtrer: </s> <s xml:id="echoid-s4040" xml:space="preserve">dautant que la ligne <lb/>M H eſtant la moitié de la ligne H A, <lb/>& </s> <s xml:id="echoid-s4041" xml:space="preserve">la ligne N H eſtant la moitié de la li-<lb/>gne H B, toute la ligne M N ſera la <lb/>moitié de toute la ligne A B, dont G B <lb/>eſt encore la moitié, de ſorte que M N <lb/>& </s> <s xml:id="echoid-s4042" xml:space="preserve">B G ſont égales entr’elles: </s> <s xml:id="echoid-s4043" xml:space="preserve">deſquel-<lb/>les ſi l’on oſte la commune partie G H, <lb/>M H ſera égale à G N.</s> <s xml:id="echoid-s4044" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4045" xml:space="preserve">Or nous auons deſia fait voir que <lb/>M G eſt égale à H N. </s> <s xml:id="echoid-s4046" xml:space="preserve">D’où il s’enſuit <pb o="16" file="00295" n="294" rhead="Les Mechaniques"/> qu’il y a meſme raiſon de M N à H N, <lb/>que de K I à L I, & </s> <s xml:id="echoid-s4047" xml:space="preserve">de la double de E I <lb/>à la double de D I, & </s> <s xml:id="echoid-s4048" xml:space="preserve">finalemĕt du ſo-<lb/>lide C S au ſolide S D, dont C I, & </s> <s xml:id="echoid-s4049" xml:space="preserve">D I <lb/>ſont les hauteurs.</s> <s xml:id="echoid-s4050" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4051" xml:space="preserve">Il faut donc conclurre qu’il y a meſ-<lb/>me raiſon de M G à G N, que de C I à <lb/>D S, & </s> <s xml:id="echoid-s4052" xml:space="preserve">par conſequent que ces deux <lb/>corps C I & </s> <s xml:id="echoid-s4053" xml:space="preserve">D S ne peſent pas ſeule-<lb/>ment également, quand leurs diſtãces <lb/>d’auec l’appuy, ou le point d’où ils ſont <lb/>ſuſpendus, ſont en raiſon reciproque de <lb/>leurs peſanteurs, mais auſſi que c’eſt vne <lb/>meſme choſe que ſi l’on attachoit des <lb/>poids égaux à des diſtances égales: </s> <s xml:id="echoid-s4054" xml:space="preserve">de <lb/>ſorte que la peſanteur de C S s’eſtend <lb/>& </s> <s xml:id="echoid-s4055" xml:space="preserve">ſe communique en quelque maniere <lb/>virtuellement par delà le ſouſtien G, <lb/>duquel la peſanteur I D s’éloigne, & </s> <s xml:id="echoid-s4056" xml:space="preserve">ſe <lb/>retire, comme l’on peut comprendre <lb/>par ce diſcours. </s> <s xml:id="echoid-s4057" xml:space="preserve">Ce <gap/>rriuera ſem-<lb/>blablement ſi ces corps cylindriques <lb/>ſont reduits, & </s> <s xml:id="echoid-s4058" xml:space="preserve">changez aux ſpheres X <lb/>& </s> <s xml:id="echoid-s4059" xml:space="preserve">Z, ou en telles ſigures que l’on vou-<lb/>dra, car l’on aura touſiours le meſme <lb/>équilibre, la figure n’eſtant qu’vne qua-<lb/>lité, laquelle n’a pas la puiſsãce de la pe-<lb/>ſanteur, qui deriue de la ſeule quãtité.</s> <s xml:id="echoid-s4060" xml:space="preserve"/> </p> <pb o="17" file="00296" n="295" rhead="de Galilée Florentin."/> <p style="it"> <s xml:id="echoid-s4061" xml:space="preserve">Il faut donc conclurre que les poids inégaux <lb/>peſent également, & </s> <s xml:id="echoid-s4062" xml:space="preserve">produiſent l’équilibre, <lb/>lors qu’ils ſont ſuſpendus de diſtances iné-<lb/>gales qui ſont en raiſon reciproque deſdits <lb/>poids.</s> <s xml:id="echoid-s4063" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div118" type="section" level="1" n="112"> <head xml:id="echoid-head188" xml:space="preserve"><emph style="sc">Chap</emph>. V.</head> <head xml:id="echoid-head189" xml:space="preserve">Où l’on void quelques aduertiſſemens ſur <lb/>le diſcours precedent.</head> <p> <s xml:id="echoid-s4064" xml:space="preserve">APres auoir demõſtré que les mou-<lb/>uements des poids inégaux ſont <lb/>égaux, quand ils ſont attachez à des <lb/>points, dont les diſtances d’auec l’ap-<lb/>puy ont meſme proportion que les <lb/> <anchor type="figure" xlink:label="fig-00296-01a" xlink:href="fig-00296-01"/> poids, <lb/>il faut <lb/>enco-<lb/>re re-<lb/>marquer vne autre proprieté qui con-<lb/>firme la vetité precedente, car ſi l’on <lb/>conſidere la balance B D diuiſée en <lb/>parties inégales par le pointC, & </s> <s xml:id="echoid-s4065" xml:space="preserve">que les <lb/>poids ſuſpĕdus aux points B & </s> <s xml:id="echoid-s4066" xml:space="preserve">D ſoient <lb/>en raiſon reciproque des diſtances B C, <lb/>& </s> <s xml:id="echoid-s4067" xml:space="preserve">C D, c’eſt à dire que le poids atta- <pb o="18" file="00297" n="296" rhead="Les Mechaniques"/> ché à B ſoit d’autant plus grand que le <lb/>poids attaché à D, que la diſtance C D <lb/>eſt plus grande que la diſtance CB, il <lb/>eſt certain que l’vn contrepeſera l’au-<lb/>tre, & </s> <s xml:id="echoid-s4068" xml:space="preserve">qu’ils ſeront en equilibre: </s> <s xml:id="echoid-s4069" xml:space="preserve">& </s> <s xml:id="echoid-s4070" xml:space="preserve">que <lb/>ſi l’on adiouſte quelque choſe à l’vn, par <lb/>exemple, au poids D, qu’il deſcendra <lb/>en bas en I, & </s> <s xml:id="echoid-s4071" xml:space="preserve">conſequemment qu’il <lb/>éleuera les poids B en G. </s> <s xml:id="echoid-s4072" xml:space="preserve">Mais ſi l’on <lb/>conſidere le mouuement du poids D, <lb/>& </s> <s xml:id="echoid-s4073" xml:space="preserve">du poids B, l’õ trouuera que le mou-<lb/>uement de D deſcendant en I ſur paſſe <lb/>autant le mouuement de B en G, com-<lb/>me la diſtance DC ſurpaſſe la diſtance <lb/>C B, ou C G, car les deux angles GCB, <lb/>& </s> <s xml:id="echoid-s4074" xml:space="preserve">D C I ſont égaux, & </s> <s xml:id="echoid-s4075" xml:space="preserve">conſequemmĕt <lb/>les deux parties de cercle décrites par <lb/>D & </s> <s xml:id="echoid-s4076" xml:space="preserve">par B ſont ſemblables, & </s> <s xml:id="echoid-s4077" xml:space="preserve">ont meſ-<lb/>me proportion entr’elles que leurs ſe-<lb/>midiametres B C, & </s> <s xml:id="echoid-s4078" xml:space="preserve">C D, par ieſquels <lb/>elles ont eſté décrites.</s> <s xml:id="echoid-s4079" xml:space="preserve"/> </p> <div xml:id="echoid-div118" type="float" level="2" n="1"> <figure xlink:label="fig-00296-01" xlink:href="fig-00296-01a"> <image file="00296-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00296-01"/> </figure> </div> <p> <s xml:id="echoid-s4080" xml:space="preserve">D’où il ſ’enſuit que la viſteſſe du poids <lb/>D, qui deſcĕd en I ſurpaſſe autant cel-<lb/>le du poids B qui monte en G, que la <lb/>peſanteur de B eſt plus grande que cel-<lb/>le de D; </s> <s xml:id="echoid-s4081" xml:space="preserve">& </s> <s xml:id="echoid-s4082" xml:space="preserve">que l’on ne peut éleuer B <lb/>que D ne ſe meuue plus viſte: </s> <s xml:id="echoid-s4083" xml:space="preserve">parce <lb/>que la viſteſſe de D recompĕſe la gran- <pb o="19" file="00298" n="297" rhead="de Galilée Florentin."/> de reſiſtence de B, qui monte lentemĕt <lb/>en G, tandis que D deſcend bien viſte <lb/>en I, de ſorte que G a autant de tardi-<lb/>ueté que de peſanteur, comme D a au-<lb/>tant de viſteſſe que de legereté.</s> <s xml:id="echoid-s4084" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4085" xml:space="preserve">Or il eſt ayſé de conclurre par tout ce <lb/>diſcours la grande force qu’apporte la <lb/>viſteſſe du mouuement, pour accroiſtre <lb/> <anchor type="figure" xlink:label="fig-00298-01a" xlink:href="fig-00298-01"/> la puiſ-<lb/>ſance du <lb/>mobile, <lb/>laquelle <lb/>eſt d’autant plus grande que le mouue-<lb/>ment eſt plus viſte. </s> <s xml:id="echoid-s4086" xml:space="preserve">Mais auant que de <lb/>paſſer outre, il faut remarquer que les <lb/>diſtances qui ſont entre les bras de la <lb/>balance, & </s> <s xml:id="echoid-s4087" xml:space="preserve">l’appuy doiuent eſtre me-<lb/>ſurées pat la diſtance horizontale: </s> <s xml:id="echoid-s4088" xml:space="preserve">par <lb/>exemple, les poids A & </s> <s xml:id="echoid-s4089" xml:space="preserve">B ſont égale-<lb/>ment éloignez de l’appuy C: </s> <s xml:id="echoid-s4090" xml:space="preserve">c’eſt pour-<lb/>quoy ils ſont en équilibre, qu’ils per-<lb/>dent, lors que le poids B eſt éleué en D, <lb/>dautant que la ligne tirée perpendicu-<lb/>lairemĕt de D ſur l’horizon B C A vers <lb/>le centre de la terre, s’approche plus <lb/>pres de l’appuy C, que ne fait le point <lb/>B: </s> <s xml:id="echoid-s4091" xml:space="preserve">& </s> <s xml:id="echoid-s4092" xml:space="preserve">partant D ne peſe pas tant que B, <lb/>à raiſon de ſa ſituation, & </s> <s xml:id="echoid-s4093" xml:space="preserve">par conſe- <pb o="20" file="00299" n="298" rhead="Les Mechaniques"/> quent D n’eſt plus équilibre à raiſon <lb/>que la diſtance horizontale de D à C <lb/>eſt moindre que celle de B à C.</s> <s xml:id="echoid-s4094" xml:space="preserve"/> </p> <div xml:id="echoid-div119" type="float" level="2" n="2"> <figure xlink:label="fig-00298-01" xlink:href="fig-00298-01a"> <image file="00298-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00298-01"/> </figure> </div> </div> <div xml:id="echoid-div121" type="section" level="1" n="113"> <head xml:id="echoid-head190" xml:space="preserve"><emph style="sc">Chap</emph>. VI.</head> <head xml:id="echoid-head191" xml:space="preserve">De la Romaine, de la Balance, & du Louier,</head> <p> <s xml:id="echoid-s4095" xml:space="preserve">LE meſme principe qui a eſté expli-<lb/>qué dans le 4. </s> <s xml:id="echoid-s4096" xml:space="preserve">& </s> <s xml:id="echoid-s4097" xml:space="preserve">le 5. </s> <s xml:id="echoid-s4098" xml:space="preserve">chap. </s> <s xml:id="echoid-s4099" xml:space="preserve">ſert en-<lb/>core pour entendre la nature de ces 3. <lb/></s> <s xml:id="echoid-s4100" xml:space="preserve">inſtrumens, dont le premier (que les <lb/>Latins appellent Statera, les Grecs <lb/>φάλαγξ <emph style="bf">Phalanx;</emph> & </s> <s xml:id="echoid-s4101" xml:space="preserve">que nous appellons <lb/>vulgairement la Romaine, le Crochet, le <lb/>Pezon, ou le Poids) eſt vtile pour peſer <lb/>toutes ſortes de fardeaux par le moyen <lb/>d’vn contrepoids mobile, que l’on nõ-<lb/>me le Pezon, & </s> <s xml:id="echoid-s4102" xml:space="preserve">que les Grecs appellent <lb/>αρτισύχωμα, σφαίρωμα, άρτήμα, & </s> <s xml:id="echoid-s4103" xml:space="preserve">les Latins <lb/><emph style="bf">aquipondium.</emph></s> </p> <p> <s xml:id="echoid-s4104" xml:space="preserve">Soit donc la Romaine B D, dont le <lb/>ſouſtien ſoit au point C, que les Grecs <lb/>appellent σωάρτιου, & </s> <s xml:id="echoid-s4105" xml:space="preserve">ύχομέχλιου, & </s> <s xml:id="echoid-s4106" xml:space="preserve">les La-<lb/>tins <emph style="bf">agina, ſpartum,</emph> & <emph style="bf">anſa.</emph></s> <s xml:id="echoid-s4107" xml:space="preserve"> Que B ſoit <lb/>le fardeau que l’on veut peſer, & </s> <s xml:id="echoid-s4108" xml:space="preserve">D le <lb/>contrepoids. </s> <s xml:id="echoid-s4109" xml:space="preserve">Ie dis que s’il y a meſme <pb o="21" file="00300" n="299" rhead="de Galilée Florentin."/> raiſon de la diſtance D C à C B, que du <lb/>poids B au contrepoids D, qu’ils ſeront <lb/>en équilibre, parce que les diſtances des <lb/>bras, ou des branches de la Romaine <lb/>ſont en raiſon reciproque des poids qui <lb/>ſe contreb lancent.</s> <s xml:id="echoid-s4110" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4111" xml:space="preserve">Or cet in ſtrument n’eſt pas different <lb/>du leuier, qui ſert àremuer des fardeaux <lb/>treſ-lourds, & </s> <s xml:id="echoid-s4112" xml:space="preserve">treſ-peſans auec peu de <lb/>force, comme l’on void dans cette meſ-<lb/>me ſigure, dans laquelle B repreſente <lb/>le fardeau, qu’il faut leuer en G; </s> <s xml:id="echoid-s4113" xml:space="preserve">& </s> <s xml:id="echoid-s4114" xml:space="preserve">C <lb/>repreſente l’appuy ſur lequel le leuier <lb/>B P preſſe, & </s> <s xml:id="echoid-s4115" xml:space="preserve">ſe meut & </s> <s xml:id="echoid-s4116" xml:space="preserve">la main, ou <lb/>quelque autre force preſſe le lcuier au <lb/>point D, & </s> <s xml:id="echoid-s4117" xml:space="preserve">l abaiſſe iuſques à I pour fai-<lb/>re monter B en G.</s> <s xml:id="echoid-s4118" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4119" xml:space="preserve">Cecy eſtant poſé, la force miſe <lb/>en D leuera le poids B toutes & </s> <s xml:id="echoid-s4120" xml:space="preserve"><lb/>quantesfois qu’il y aura meſme raiſon <lb/>de la diſtãce D C à la diſtance B C, que <lb/>du poids B à la force D, de ſorte que <lb/>l’on peut touſiours diminuer la force à <lb/>meſure que l’on allonge la partie du le-<lb/>uier C D: </s> <s xml:id="echoid-s4121" xml:space="preserve">par exemple, parce qu’ily a <lb/>5. </s> <s xml:id="echoid-s4122" xml:space="preserve">fois plus loin de C à D que de C à B, <lb/>ſi B peſe 5. </s> <s xml:id="echoid-s4123" xml:space="preserve">liures, la force d’vne liure le <lb/>tiendra cn équilibre au point D, parce <pb o="22" file="00301" n="300" rhead="Les Mechaniques"/> que C D eſt quintuple de C B.</s> <s xml:id="echoid-s4124" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4125" xml:space="preserve">Mais l’auantage de ces 3. </s> <s xml:id="echoid-s4126" xml:space="preserve">inſtru-<lb/>mens ne conſiſte pas à ſurmonter, ou à <lb/>tromper la nature, en faiſant qu’vne <lb/>petite force ſurmonte vne grande reſi-<lb/>ſtence, car on fera le meſme effet en <lb/>meſine temps, & </s> <s xml:id="echoid-s4127" xml:space="preserve">auec meſme force sãs <lb/>la diſtãce C D, laquelle eſt cauſe que la <lb/>force D a cinq fois plus de chemin a fai-<lb/>re de D en I, que le poids n’en fait de <lb/>B en G, & </s> <s xml:id="echoid-s4128" xml:space="preserve">conſequemment elle em-<lb/> <anchor type="figure" xlink:label="fig-00301-01a" xlink:href="fig-00301-01"/> ploye <lb/>5. </s> <s xml:id="echoid-s4129" xml:space="preserve">fois <lb/>pl<emph style="sub">9</emph> de <lb/>temps <lb/>que ſi elle eſtoit en L, pour ſe tranſpor-<lb/>ter en M. </s> <s xml:id="echoid-s4130" xml:space="preserve">Or la force D eſtant en L le-<lb/>uera la cinquieſme partie du poids B de <lb/>B en G, en meſme temps que D leue B, <lb/>de ſorte qu’elle leuera tout le poids B <lb/>en G en repetant 5. </s> <s xml:id="echoid-s4131" xml:space="preserve">fois le chemin L M; <lb/></s> <s xml:id="echoid-s4132" xml:space="preserve">ce qui eſt la meſme choſe que de faire <lb/>vne fois le chemin D I: </s> <s xml:id="echoid-s4133" xml:space="preserve">& </s> <s xml:id="echoid-s4134" xml:space="preserve">conſequem-<lb/>ment le tranſport de Ben G ne requiert <lb/>pas moins de force, ou moins de tĕps, <lb/>ou vn chemin plus court, foit que l’on <lb/>mette la force en D, ou en L.</s> <s xml:id="echoid-s4135" xml:space="preserve"/> </p> <div xml:id="echoid-div121" type="float" level="2" n="1"> <figure xlink:label="fig-00301-01" xlink:href="fig-00301-01a"> <image file="00301-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00301-01"/> </figure> </div> <p> <s xml:id="echoid-s4136" xml:space="preserve">D’où il faut conclurre que le leuier <pb o="23" file="00302" n="301" rhead="de Galilée Florentin."/> ſert ſeulement pour mouuoir les far-<lb/>deaux tout d’vn coup, & </s> <s xml:id="echoid-s4137" xml:space="preserve">à vne ſeule <lb/>fois, qu’il faudroit autrement mouuoir <lb/>par parties, & </s> <s xml:id="echoid-s4138" xml:space="preserve">à pluſieurs fois.</s> <s xml:id="echoid-s4139" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div123" type="section" level="1" n="114"> <head xml:id="echoid-head192" xml:space="preserve">II. ADDITION.</head> <p> <s xml:id="echoid-s4140" xml:space="preserve">L’on pourroit icy traiter des deux <lb/>autres ſortes de leuiers, dõt parle Guid-<lb/>Vbalde dans ſes Mechaniques, mais il <lb/>ſuffit de comprendre la raiſon de celuy <lb/>que propoſe cét Autheur, car nous par-<lb/>lerons des autres ailleurs. </s> <s xml:id="echoid-s4141" xml:space="preserve">I’adjouſte <lb/>ſeulement cette figure, par laquelle <lb/>l’on comprendra mieux ſon intention. <lb/></s> <s xml:id="echoid-s4142" xml:space="preserve"> <anchor type="figure" xlink:label="fig-00302-01a" xlink:href="fig-00302-01"/> Soit dõc le <lb/>leuier A F, <lb/>par lequel <lb/>la force ap-<lb/>pliquée en<emph style="sc">F</emph> <lb/>leue le far-<lb/>deau A iuſ-<lb/>ques à G, <lb/>encore que <lb/>elle ſoit 4. <lb/></s> <s xml:id="echoid-s4143" xml:space="preserve">fois moindre qu’A, mais l’arc de ſon <lb/>chemin F I eſt quatre fois plus grand <lb/>que l’arc A G, car F M, M L, L K, <pb o="24" file="00303" n="302" rhead="Les Mechaniques"/> & </s> <s xml:id="echoid-s4144" xml:space="preserve">K I’eſt égal à A G, comme l’on void <lb/>par la conſtruction, de ſorte que F ne <lb/>gaigne rien en force qu’il ne le perde en <lb/>chemin, ou ne gaigne rien en chemin <lb/>qu’il ne le perde en force. </s> <s xml:id="echoid-s4145" xml:space="preserve">Or la plus <lb/>grande difficulté des Mechaniques cõ-<lb/>ſiſte, ce me ſemble, à ſçauoir pourquoy <lb/>la plus grande diſtance de la force, ou <lb/>du poids F d’auec l’appuy B augmente <lb/>ladite force, & </s> <s xml:id="echoid-s4146" xml:space="preserve">pourquoy le poids A ou <lb/>C eſtant tranſporté en F a quatre fois <lb/>plus de force que deuant. </s> <s xml:id="echoid-s4147" xml:space="preserve">Ariſtote croit <lb/>que la raiſon en doit eſtre priſe de ce <lb/>que le centre B empeſche plus les poids <lb/>prochains que les éloignez, dautant <lb/>qu’il les contraint dauantage, & </s> <s xml:id="echoid-s4148" xml:space="preserve">leur <lb/>communique tãt qu’il peut ſon immo-<lb/>bilité, de ſorte que le poids eſtant en C <lb/>ne peut ſe mouuoir que de C en H, au <lb/>lieu qu’eſtant en F il ſait 4. </s> <s xml:id="echoid-s4149" xml:space="preserve">fois autant <lb/>de chemin en meſme temps, & </s> <s xml:id="echoid-s4150" xml:space="preserve">eſtant <lb/>en D il en fait deux fois autant pat le <lb/>quart de cercle commençant en D. </s> <s xml:id="echoid-s4151" xml:space="preserve">Ce <lb/>que l’on peut ayſémĕt appliquer à l’ap-<lb/>proche, ou à la diſtance des creatures <lb/>d’auec la perfection Diuine, laquelle <lb/>rend les creatures raiſonnables dautant <lb/>plus fixes & </s> <s xml:id="echoid-s4152" xml:space="preserve">immobiles dans ſa grace, &</s> <s xml:id="echoid-s4153" xml:space="preserve"> <pb o="25" file="00304" n="303" rhead="de Galilée Florentin."/> dans la ferme reſolution du bien, qu’el-<lb/>les s’en approchent plus prés.</s> <s xml:id="echoid-s4154" xml:space="preserve"/> </p> <div xml:id="echoid-div123" type="float" level="2" n="1"> <figure xlink:label="fig-00302-01" xlink:href="fig-00302-01a"> <image file="00302-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00302-01"/> </figure> </div> <p> <s xml:id="echoid-s4155" xml:space="preserve">Mais pour retourner à la raiſon pre-<lb/>cedente, ie dy que le poids qui eſt en F <lb/>veut tomber en droite ligne par F N P <lb/>vers le centre de la terre, & </s> <s xml:id="echoid-s4156" xml:space="preserve">qu’eſtant <lb/>contraint par l’appuy, ou le centre B de <lb/>tomber par le cercle F I, qu’il a plus de <lb/>liberté, & </s> <s xml:id="echoid-s4157" xml:space="preserve">qu’il s’approche 4. </s> <s xml:id="echoid-s4158" xml:space="preserve">fois da-<lb/>uantage de la perpendiculaire F P, que <lb/>lors qu’il deſcend par l’arc C H, com-<lb/>me ie demonſtre par l’angle de contin-<lb/>gence P F N, qui eſt ſouzquadruple de <lb/>l’angle de contingence H C O, & </s> <s xml:id="echoid-s4159" xml:space="preserve">con-<lb/>ſequĕment la ligne de contrainte H O <lb/>eſt quadruple de la ligne P N: </s> <s xml:id="echoid-s4160" xml:space="preserve">par où <lb/>l’on void clairement que B, & </s> <s xml:id="echoid-s4161" xml:space="preserve">F s’ap-<lb/>prochant également du centre de la <lb/>terre en meſme tĕps par les arcs C H, <lb/>& </s> <s xml:id="echoid-s4162" xml:space="preserve">F P, puiſque les lignes F N & </s> <s xml:id="echoid-s4163" xml:space="preserve">B H <lb/>ſont égales, que F eſt moins contraint <lb/>que C.</s> <s xml:id="echoid-s4164" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4165" xml:space="preserve">L’on peut dire la meſme choſe de la <lb/>force de la main miſe en F, dont l’intĕ-<lb/>tion eſt de ſe mouuoir par la ligne droi-<lb/>te F P. </s> <s xml:id="echoid-s4166" xml:space="preserve">Ie laiſſe maintenant pluſieurs <lb/>autres conſiderations qui ſe peuuent <lb/>expliquer par cette figure: </s> <s xml:id="echoid-s4167" xml:space="preserve">par exem- <pb o="26" file="00305" n="304" rhead="Les Mechaniques"/> ple, que le poids F, ou B eſtãt en ſa plei-<lb/>ne liberté, deſcend de Fen P ou de B <lb/>en I en deux fois autant de temps qu’il <lb/>deſcend de F en N, comme i’ay mon-<lb/>ſtré ailleurs.</s> <s xml:id="echoid-s4168" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div125" type="section" level="1" n="115"> <head xml:id="echoid-head193" xml:space="preserve"><emph style="sc">Chap</emph>. VII.</head> <head xml:id="echoid-head194" xml:space="preserve">Du Tour, de la Rouë, de la Gruë, du Guin-<lb/>dax, & des autres inſtrumens <lb/>ſemblables.</head> <p> <s xml:id="echoid-s4169" xml:space="preserve">LEs Latins appellentle Tour axis in <lb/>peritrochio, parce qu’il n’eſt autre <lb/>choſe qu’vn axe, ouvn eſſieu, dõt les ex-<lb/>tremitez ſont appuyées ſur deux pieces <lb/>de bois, ſur leſquelles il ſe tourne. </s> <s xml:id="echoid-s4170" xml:space="preserve">Or la <lb/>nature de cet inſtrument depend im-<lb/>mediatement du leuier, car il n’eſt au-<lb/>tre choſe qu’vn leuier perpetuel, & </s> <s xml:id="echoid-s4171" xml:space="preserve">cõ <lb/>tinué. </s> <s xml:id="echoid-s4172" xml:space="preserve">Car ſoit le leuier B A C, dont le <lb/>ſouſtien eſt en A; </s> <s xml:id="echoid-s4173" xml:space="preserve">& </s> <s xml:id="echoid-s4174" xml:space="preserve">que le poids G ſoit <lb/>attaché au point B, & </s> <s xml:id="echoid-s4175" xml:space="preserve">que la force ſoit <lb/>au point C, ſi l’on tranſporte le leuier <lb/>en A D, le poids G ſe hauſſera vers D. <lb/></s> <s xml:id="echoid-s4176" xml:space="preserve">Mais ſi l’on veut le faire monter plus <lb/>haut, il faut arreſter le poids en D, afin <pb o="27" file="00306" n="305" rhead="de Galilée Florentin."/> de le releuer encore vne autrefois de B <lb/>à D en remettant le leuier dans la meſ-<lb/>me ſituation qu’il auoit deuant, & </s> <s xml:id="echoid-s4177" xml:space="preserve">de <lb/>leuer peu à peu le poids G, iuſques à ce <lb/>qu’il ſoit arriué au point B, ou à tel au-<lb/>tre point que l’on voudra.</s> <s xml:id="echoid-s4178" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4179" xml:space="preserve">Mais la repetition trop frequente de <lb/> <anchor type="figure" xlink:label="fig-00306-01a" xlink:href="fig-00306-01"/> cette action eſtãt <lb/>trop incommode, <lb/>ou trop ennuyeu-<lb/>ſe, l’on a inuenté <lb/>le Tour, & </s> <s xml:id="echoid-s4180" xml:space="preserve">la <lb/>Rouë, qui ioi-<lb/>gnent enſemble <lb/>vne infinité dele-<lb/>uiers, afin de continuer l’operatiõ ſans <lb/>aucune interruption. </s> <s xml:id="echoid-s4181" xml:space="preserve">C’eſt pour ce ſu-<lb/>iet que la rouë ſe meut à l’entour du <lb/>centre A, dont le rayon eſt A C, & </s> <s xml:id="echoid-s4182" xml:space="preserve">le <lb/>ſemidiametre de ſon eſſieu eſt A B; </s> <s xml:id="echoid-s4183" xml:space="preserve">le-<lb/>quel doit eſtre d’vne matiere bien ſo-<lb/>lide, & </s> <s xml:id="echoid-s4184" xml:space="preserve">bienforte, parce qu’il ſupporte <lb/>toute la peſanteur du fardeau.</s> <s xml:id="echoid-s4185" xml:space="preserve"/> </p> <div xml:id="echoid-div125" type="float" level="2" n="1"> <figure xlink:label="fig-00306-01" xlink:href="fig-00306-01a"> <image file="00306-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00306-01"/> </figure> </div> <p> <s xml:id="echoid-s4186" xml:space="preserve">L’eſſieu A trauerſe la rouë par le mi-<lb/>lieu, & </s> <s xml:id="echoid-s4187" xml:space="preserve">doit eſtre ſouſtenu de deux <lb/>pieds tres-forts, & </s> <s xml:id="echoid-s4188" xml:space="preserve">eſtre enuironné de <lb/>la chorde D B G, à laquelle on attache <lb/>le fardeau G. </s> <s xml:id="echoid-s4189" xml:space="preserve">Il faut auſſi mettre vne <pb o="28" file="00307" n="306" rhead="Les Mechaniques"/> autre chorde àlentour de la grãde rouë, <lb/>afin d’y attacher l’autre fardeau I. </s> <s xml:id="echoid-s4190" xml:space="preserve">Or <lb/>cecy eſtant poſé, il eſt euident que ſi <lb/>C A eſt à B A comme le fardeau G au <lb/>fardeau I, que le poids I ſouſtiendra & </s> <s xml:id="echoid-s4191" xml:space="preserve"><lb/>contrebalãcera G, & </s> <s xml:id="echoid-s4192" xml:space="preserve">que ſi i’on adiou-<lb/>ſte quelque force, ou poids à I, qu’il <lb/>l’emportera.</s> <s xml:id="echoid-s4193" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4194" xml:space="preserve">Et parce que les chordes qui ſouſtiĕ-<lb/>nent le poids touchent touſiours la cir-<lb/>conferĕce de la rouë auec laquelle l’eſ-<lb/>ſieu tourne, & </s> <s xml:id="echoid-s4195" xml:space="preserve">conſequemment qu’el-<lb/>les ſont touſiours en meſme ſituation à <lb/>l’égard des diſtances B A, & </s> <s xml:id="echoid-s4196" xml:space="preserve">C A, le <lb/>mouuement ſe continuë perpetuelle-<lb/>ment, & </s> <s xml:id="echoid-s4197" xml:space="preserve">le poids I deſcendant fait mõ-<lb/>ter le poids G. </s> <s xml:id="echoid-s4198" xml:space="preserve">Mais il faut remarquer <lb/>qu’il eſt neceſſaire de mettre la chorde <lb/>à l’entour de la rouë, afin que le poids <lb/>demeure ſuſpendu du point de la cir-<lb/>conference que la chorde touche: </s> <s xml:id="echoid-s4199" xml:space="preserve">Car <lb/>ſi la chorde eſtoit pendante du point F, <lb/>elle couperoit la rouë par F N, & </s> <s xml:id="echoid-s4200" xml:space="preserve">par <lb/>conſequĕt elle ne pourroit ſe mouuoir, <lb/>parce que le moment, ou la force du <lb/>poids N ſeroit diminuée, puis qu’elle <lb/>n’eſt pas plus grande que ſi la chorde <lb/>eſtoit attachée au point N, dautant que <pb o="29" file="00308" n="307" rhead="de Galilée Florentin."/> ſa diſtance d’auec le centre A eſt deter-<lb/>minée par la ligne A N, (comme l’on <lb/>demonſtre par la perpendiculaire F N) <lb/>& </s> <s xml:id="echoid-s4201" xml:space="preserve">non par le ſemidiametre F A. </s> <s xml:id="echoid-s4202" xml:space="preserve">Il faut <lb/>donc que la force inanimée, qui n’a <lb/>point d’autte vertu que d’aller en bas, <lb/>ſoit pendue à vne chorde qui touche la <lb/>rouë & </s> <s xml:id="echoid-s4203" xml:space="preserve">qui ne la coupe pas.</s> <s xml:id="echoid-s4204" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4205" xml:space="preserve">Mais ſi la force eſt animée, elle peut <lb/>faire tourner la rouë pour leuer le poids <lb/>en quelque endroit de la rouë qu’elle ſe <lb/>rencontre: </s> <s xml:id="echoid-s4206" xml:space="preserve">par exemple en F, mais elle <lb/>tirera par la ligne trauerſante F L qui <lb/>fera vn angle droit auec la ligne A F, & </s> <s xml:id="echoid-s4207" xml:space="preserve"><lb/>non par la perpendiculaire F N. </s> <s xml:id="echoid-s4208" xml:space="preserve">L’on <lb/>peut neantmoins faire ſeruir la force <lb/>inanimée à tous les points de la circon-<lb/>ference par le moyen de la poulie L, car <lb/>le poids, ou la force K tirera par la ligne <lb/>droite L K, & </s> <s xml:id="echoid-s4209" xml:space="preserve">leuer@ le poids Gen B, <lb/>& </s> <s xml:id="echoid-s4210" xml:space="preserve">conſequemmĕt elle agit par la ligne <lb/>F L, & </s> <s xml:id="echoid-s4211" xml:space="preserve">par ce moyen elle ſe conſerue <lb/>touſiours en meſme diſtance d’auec le <lb/>centre de la rouë, & </s> <s xml:id="echoid-s4212" xml:space="preserve">de l’eſſieu A: </s> <s xml:id="echoid-s4213" xml:space="preserve">de <lb/>ſorte que le leuier B C ſe rend perpe-<lb/>tuel par l’entremiſe de la rouë.</s> <s xml:id="echoid-s4214" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4215" xml:space="preserve">Il faut donc conclurre de tout ce diſ-<lb/>cours que dans cét inſtrument la force <pb o="30" file="00309" n="308" rhead="Les Mechaniques"/> Cou F doit touſiours auoir meſme pro-<lb/>portiõ auec le poids, que le ſemidiame-<lb/>tre de l’axe B A a auec le ſemidiametre <lb/>de la rouë A C.</s> <s xml:id="echoid-s4216" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4217" xml:space="preserve">Quant à la Gruë elle eſt de meſme <lb/>nature quele Tour, mais le Cabeſtan, <lb/>le Guindax, ou l’orgene eſt vn peu dif-<lb/>rent, car ſon axe ſe meut perpendicu-<lb/>laire à l orizon, & </s> <s xml:id="echoid-s4218" xml:space="preserve">ſa rouë ſe meut hori-<lb/>zontalement, au lieu que l’axe du Tour <lb/> <anchor type="figure" xlink:label="fig-00309-01a" xlink:href="fig-00309-01"/> ſe meut horizontale-<lb/>ment, & </s> <s xml:id="echoid-s4219" xml:space="preserve">ſa rouë per-<lb/>pendiculairemĕt. </s> <s xml:id="echoid-s4220" xml:space="preserve">Ce <lb/>qui eſt tres-ayſé à cõ-<lb/>prendre par le moyen <lb/>de cette figure, dont <lb/>il faut s’imaginer que <lb/>l’axe D E ſoit perpĕ-<lb/>diculaire à l’horizon, & </s> <s xml:id="echoid-s4221" xml:space="preserve">que la rouë F <lb/>C G ſoit parallele au meſme horizon. <lb/></s> <s xml:id="echoid-s4222" xml:space="preserve">Or la chorde D H tirera, ou trainera le <lb/>fardeau H iuſques à l’axe B, ou iuſques <lb/>où l’on voudra, par la force d’vn hom-<lb/>me, ou d’vn cheual qui conduira le le-<lb/>uier B à l’entour de la circonference F <lb/>G C, & </s> <s xml:id="echoid-s4223" xml:space="preserve">fera autant de tours comme il <lb/>eſt neceſſaire pour attirer le fardeau par <lb/>le moyen de la chorde D H, qui ſ’en- <pb o="31" file="00310" n="309" rhead="de Galilée Florentin."/> tortille à l’entour de l’eſſieu D E A. <lb/></s> <s xml:id="echoid-s4224" xml:space="preserve">d’où il eſt ayſé de conclurre la fabrique <lb/>du Guindax, ou du Cabeſtan.</s> <s xml:id="echoid-s4225" xml:space="preserve"/> </p> <div xml:id="echoid-div126" type="float" level="2" n="2"> <figure xlink:label="fig-00309-01" xlink:href="fig-00309-01a"> <image file="00309-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00309-01"/> </figure> </div> <p> <s xml:id="echoid-s4226" xml:space="preserve">Cecy eſtant poſé, il eſt euident que <lb/>le point, ou le centre du ſouſtien eſt en <lb/>B, & </s> <s xml:id="echoid-s4227" xml:space="preserve">que l’éloignement de la force F ſe <lb/>prend du point B, & </s> <s xml:id="echoid-s4228" xml:space="preserve">celuy du poids de <lb/>B à D, de ſorte que F B D forme vn le-<lb/>uier, envertu duquel la force F acquiert <lb/>vne force égale à la reſiſtance du poids, <lb/>lors que la diſtance F B a meſme pro-<lb/>portion à B D, que le fardeau H à la <lb/>force F.</s> <s xml:id="echoid-s4229" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4230" xml:space="preserve">Mais la nature n’eſt point trompée ny <lb/>ſurmontée, & </s> <s xml:id="echoid-s4231" xml:space="preserve">l’on ne gaigne rien, par-<lb/>ce que ſi le fardeau a dix fois plus de re-<lb/>ſiſtence que la force F, la diſtance F B <lb/>doit neceſſairement eſtre decuple de <lb/>B D, & </s> <s xml:id="echoid-s4232" xml:space="preserve">la circonference FC G decuple <lb/>de la circõference E A D; </s> <s xml:id="echoid-s4233" xml:space="preserve">de ſorte que <lb/>le poids ne fera que la dixieſme partie <lb/>du chemin de la circonference G C F; <lb/></s> <s xml:id="echoid-s4234" xml:space="preserve">par cõſequent ſi l’on diuiſoit le fardeau <lb/>en 10. </s> <s xml:id="echoid-s4235" xml:space="preserve">parties, chacune répondroit à la <lb/>dixieſme partie du mouuement & </s> <s xml:id="echoid-s4236" xml:space="preserve">de la <lb/>force F, c’eſt pourquoy ſi l’on portoit <lb/>en dix voyages chaque dixieſme partie <lb/>autour de l’axe, l’on ne chemineroit <pb o="32" file="00311" n="310" rhead="Les Mechaniques"/> pas dauãtage que ſi l’on faiſoit vne fois <lb/>le tour G C F, & </s> <s xml:id="echoid-s4237" xml:space="preserve">l’on cõduiroit le meſ-<lb/>me fardeau en meſme temps à la meſ-<lb/>me diſtance.</s> <s xml:id="echoid-s4238" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4239" xml:space="preserve">Il faut donc conclurre que la com-<lb/>modité de cette Machine conſiſte ſeu-<lb/>lement à attirer le färdeau tout à la fois <lb/>ſans le diuiſer; </s> <s xml:id="echoid-s4240" xml:space="preserve">& </s> <s xml:id="echoid-s4241" xml:space="preserve">qu’elle ne ſert pas <lb/>pour l’attirer plus ayſément, ou plus <lb/>viſte, ou plus loin que la meſme force <lb/>le cõduiroit en le diuiſant en 10. </s> <s xml:id="echoid-s4242" xml:space="preserve">parties.</s> <s xml:id="echoid-s4243" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div128" type="section" level="1" n="116"> <head xml:id="echoid-head195" xml:space="preserve"><emph style="sc">Chap</emph>. VIII.</head> <head xml:id="echoid-head196" style="it" xml:space="preserve"><emph style="bf">De la force, & de l’vſage des Poulies.</emph></head> <p> <s xml:id="echoid-s4244" xml:space="preserve">APres auoir conſideré les inſtrumĕs <lb/>qui ſe reduiſent aux contrepoids, <lb/>& </s> <s xml:id="echoid-s4245" xml:space="preserve">à l’équilibre, comme à leur principe, <lb/> <anchor type="figure" xlink:label="fig-00311-01a" xlink:href="fig-00311-01"/> & </s> <s xml:id="echoid-s4246" xml:space="preserve">à leur <lb/>fondemĕt <lb/>il fautpar-<lb/>ler d’vne <lb/>autre ſor-<lb/>te de le-<lb/>uier pour entendre la nature des pou-<lb/>lies, & </s> <s xml:id="echoid-s4247" xml:space="preserve">de beaucoup d’autres effets Me- <pb o="33" file="00312" n="311" rhead="de Galilée Florentin."/> chaniques. </s> <s xml:id="echoid-s4248" xml:space="preserve">Or le leuier, dont nous <lb/>auons parlé, ſuppoſe que le poids ſoit <lb/>à l vne de ſes extremitez, & </s> <s xml:id="echoid-s4249" xml:space="preserve">la force à <lb/>l autre; </s> <s xml:id="echoid-s4250" xml:space="preserve">de ſorte que ſon ſouſtien doit <lb/>eſtie entre ſes deux extremitez. </s> <s xml:id="echoid-s4251" xml:space="preserve">Mais <lb/>ſi l’on met le ſouſtien à l’extremité du <lb/>leuier, & </s> <s xml:id="echoid-s4252" xml:space="preserve">la force à l’autre extremité C, <lb/>& </s> <s xml:id="echoid-s4253" xml:space="preserve">que le point D ſoit attaché à quelque <lb/>point du milieu: </s> <s xml:id="echoid-s4254" xml:space="preserve">par exemple, au point <lb/><emph style="sc">B</emph>, il eſt certain que ſi le poids eſt égale-<lb/>ment éloigné des deux extremes, com-<lb/>me quand il eſt au point F, que la force <lb/>quile ſouſtient en F ſera également di-<lb/>uiſée: </s> <s xml:id="echoid-s4255" xml:space="preserve">& </s> <s xml:id="echoid-s4256" xml:space="preserve">par conſequent la moitié du <lb/>poids eſt ſouſtenuë par C, & </s> <s xml:id="echoid-s4257" xml:space="preserve">l’autre <lb/>moitié par A.</s> <s xml:id="echoid-s4258" xml:space="preserve"/> </p> <div xml:id="echoid-div128" type="float" level="2" n="1"> <figure xlink:label="fig-00311-01" xlink:href="fig-00311-01a"> <image file="00311-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00311-01"/> </figure> </div> <p> <s xml:id="echoid-s4259" xml:space="preserve">S’il arriue que le fardeau ſoit attaché <lb/>ailleurs, par exemple en B, la force C <lb/>ſouſtiendra le fardeau en B, quand il <lb/>aura meſme proportion auec ladite for-<lb/>ce, que la diſtance A C à la diſtãce B A. <lb/></s> <s xml:id="echoid-s4260" xml:space="preserve">Mais pour comprendre cecy, il faut <lb/>s’imaginer que la ligne B A ſoit prolon-<lb/>gee en G, & </s> <s xml:id="echoid-s4261" xml:space="preserve">que les diſtances B A, A G <lb/>ſoient égales, & </s> <s xml:id="echoid-s4262" xml:space="preserve">que le fardeau ſoit at-<lb/>taché au point C, & </s> <s xml:id="echoid-s4263" xml:space="preserve">qu’il ſoit égal au <lb/>poids D, il eſt certain qu’à cauſe de l’é-<lb/>galité des poids E, D, & </s> <s xml:id="echoid-s4264" xml:space="preserve">des diſtances <pb o="34" file="00313" n="312" rhead="Les Mechaniques"/> A C, & </s> <s xml:id="echoid-s4265" xml:space="preserve">B A, le mouuement du poids <lb/>D ſuffira pour le ſouſtenir, donc la for-<lb/>ce du moment égal à celuy du point E, <lb/>lequel le pourra ſouſtenir, ſuffira enco-<lb/>re pour ſouſtenir le poids D. </s> <s xml:id="echoid-s4266" xml:space="preserve">Mais ſi l’on <lb/>veut ſouſtenir E au point C, la force <lb/>doit eſtre à E, comme G A à C A, donc <lb/>la meſme force pourra ſouſtenir le <lb/>point D égal à E. </s> <s xml:id="echoid-s4267" xml:space="preserve">Or la proportion qui <lb/>eſt de G A à E A, eſt auſſi de B A à C A, <lb/>G A eſtant égal à B A: </s> <s xml:id="echoid-s4268" xml:space="preserve">Et parce que les <lb/>poids E D ſont égaux, chacun d’eux <lb/>aura la meſme proportiõ à la force miſe <lb/>en C. </s> <s xml:id="echoid-s4269" xml:space="preserve">D’où l’on conclud que la force C <lb/>eſt égale au momĕt D, lors qu’il a meſ-<lb/>me proportion que la diſtance A Bà <lb/>C A.</s> <s xml:id="echoid-s4270" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4271" xml:space="preserve">Or il eſt tres-ayſé de conclurre de <lb/>tout ce diſcours que l’on perd autant <lb/>de viſteſſe comme l’on acquiert de for-<lb/>ce tantauec le leuier ordinaire qu’auec <lb/>celuy- cy: </s> <s xml:id="echoid-s4272" xml:space="preserve">car quand la force C hauſſe <lb/>le leuier A C, pour le trãſporter en A I, <lb/>le poids ſe meut par l’interualle B H, <lb/>lequel eſt dautant moindre que l’eſpa-<lb/>ce I C, qu’a fait la force, qu’A B eſt <lb/>moindre qu’A C.</s> <s xml:id="echoid-s4273" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4274" xml:space="preserve">Ces principes ayant eſté declarez, il <pb o="35" file="00314" n="313" rhead="de Galilée Florentin."/> faut expliquer la raiſon des poulies, dõt <lb/>nous declarerons la conſtruction & </s> <s xml:id="echoid-s4275" xml:space="preserve">l’v-<lb/>ſage. </s> <s xml:id="echoid-s4276" xml:space="preserve">Et pour ce ſuiet ſuppoſons que <lb/>l’on ayt la poulie A B C faite de metal, <lb/>ou d’vn bois fort dur, & </s> <s xml:id="echoid-s4277" xml:space="preserve">qu’elle puiſſc <lb/>tourner ſur ſon eſſieu, qui paſſe par le <lb/>centre D: </s> <s xml:id="echoid-s4278" xml:space="preserve">& </s> <s xml:id="echoid-s4279" xml:space="preserve">puis il faut mettre à l’en-<lb/> <anchor type="figure" xlink:label="fig-00314-01a" xlink:href="fig-00314-01"/> tour la chorde F C B A E, <lb/>à laquelle le poids E ſoit at-<lb/>taché. </s> <s xml:id="echoid-s4280" xml:space="preserve">Quant à la force, el-<lb/>le eſt à l’autre bout de la <lb/>chorde au point F, où elle <lb/>ſouſtient le fardeau E. </s> <s xml:id="echoid-s4281" xml:space="preserve">Car <lb/>ſi l’õ ſ’imagine deux lignes <lb/>égales tirées du centre D, <lb/>à ſçauoir D C, & </s> <s xml:id="echoid-s4282" xml:space="preserve">D A, l’on <lb/>aura l’équilibre de deux <lb/>momĕts, ou de deux poids <lb/>égaux, également éloignez <lb/>de l’appuy D, qui eſt le <lb/>point du ſouſtien, lequel eſt <lb/>également éloigné de tous <lb/>les coſtez de la circõference du cercle, <lb/>ou de la poulie A B C. </s> <s xml:id="echoid-s4283" xml:space="preserve">Or ces deux li-<lb/>gnes, qui ſont les bras du leuier, ou de <lb/>la balance, determinent les diſtances <lb/>des deux ſuſpenſions d’auec le centre <lb/>D: </s> <s xml:id="echoid-s4284" xml:space="preserve">C’eſt pourquoy le poids qui eſt ſuſ- <pb o="36" file="00315" n="314" rhead="Les Mechaniques"/> pendu du point A ne peut eſtre ſouſte-<lb/>nu au point C que par vne égale force, <lb/>ou par vn poids égal, ſuiuant la nature <lb/>des poids égaux qui pendent de diſtan-<lb/>ces égales. </s> <s xml:id="echoid-s4285" xml:space="preserve">Car encore que la force F <lb/>tourne à l’entour de la poulie A B C, <lb/>cela ne change nullement l’habitude, <lb/>& </s> <s xml:id="echoid-s4286" xml:space="preserve">le rapport que le poids, & </s> <s xml:id="echoid-s4287" xml:space="preserve">la force <lb/>ont à la diſtance A D, & </s> <s xml:id="echoid-s4288" xml:space="preserve">D C: </s> <s xml:id="echoid-s4289" xml:space="preserve">dautant <lb/>que la poulie garde vn perpetuel équi-<lb/>libre en ſe tournant. </s> <s xml:id="echoid-s4290" xml:space="preserve">D’où il faut con-<lb/>clurre qu’Ariſtote ſe trompe lors qu’il <lb/>dit que l’on leue plus ayſément les far-<lb/>deaux auec les plus grandes poulies, car <lb/>encore que la diſtance, ou le demidia-<lb/>metre de la poulie D C ſ’augmente, ce-<lb/>la ne ſert de rien à raiſon que la diſtan-<lb/>ce D A ſ’augmente également. </s> <s xml:id="echoid-s4291" xml:space="preserve">De ſor-<lb/>te que l’on ne reçoit nulle commodité <lb/>de cét inſtrument en ce qui concerne <lb/>la diminutiõ de la peine. </s> <s xml:id="echoid-s4292" xml:space="preserve">Mais ſa com-<lb/>modité cõſiſte à tirer de l’eau des puits, <lb/>parce que l’on tire de haut en bas, & </s> <s xml:id="echoid-s4293" xml:space="preserve">cõ-<lb/>ſequemment le poids des bras, & </s> <s xml:id="echoid-s4294" xml:space="preserve">du <lb/>corps ſeruent à cela, au lieu qu’en tirãt <lb/>à force de bras de bas en haut ſans l’ay-<lb/>de des poulies, le poids des bras, & </s> <s xml:id="echoid-s4295" xml:space="preserve">du <lb/>corps nuiſent, c’eſt pourquoy la poulie <pb o="37" file="00316" n="315" rhead="de Galilée Florentin."/> apporte de la commoditéà l’applica-<lb/>tion de la force.</s> <s xml:id="echoid-s4296" xml:space="preserve"/> </p> <div xml:id="echoid-div129" type="float" level="2" n="2"> <figure xlink:label="fig-00314-01" xlink:href="fig-00314-01a"> <image file="00314-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00314-01"/> </figure> </div> <p> <s xml:id="echoid-s4297" xml:space="preserve">Mais ſi l’on vſe d’vne autre ſorte de <lb/>poulie, dont on voidicy la figure, l’on <lb/>pourra leuer vn fardeau auec moins de <lb/> <anchor type="figure" xlink:label="fig-00316-01a" xlink:href="fig-00316-01"/> force, car ſi la poulie BDC, <lb/>qui ſedoit mouuoir au tour <lb/>du centre E, eſt miſe dans <lb/>ſa quaiſſe, ou dans ſon ar-<lb/>meure D, que G ſoitle far-<lb/>deau, & </s> <s xml:id="echoid-s4298" xml:space="preserve">que la chorde A B <lb/>CF paſſant à l’entourde la-<lb/>dite poulie ſoit arreſté par <lb/>le bout à quelque cheuille, <lb/>au point ferme, & </s> <s xml:id="echoid-s4299" xml:space="preserve">immobi-<lb/>le; </s> <s xml:id="echoid-s4300" xml:space="preserve">& </s> <s xml:id="echoid-s4301" xml:space="preserve">finalemĕt ſi l’on applique la force <lb/>au point C, ou F, qui ſe meuue en haut <lb/>vers H, & </s> <s xml:id="echoid-s4302" xml:space="preserve">conſequemment qui faſſe <lb/>monter la quaiſſe D, & </s> <s xml:id="echoid-s4303" xml:space="preserve">quant & </s> <s xml:id="echoid-s4304" xml:space="preserve">quant <lb/>le fardeau G, ie dy que la force miſe en <lb/>C, ou en F, n’eſt que la moitió du far-<lb/>deau qu’elle ſouſtient, & </s> <s xml:id="echoid-s4305" xml:space="preserve">par conſequĕt <lb/>que le momĕt en C eſt ſouz double du <lb/>momenten G; </s> <s xml:id="echoid-s4306" xml:space="preserve">parce que G eſt ſouſte-<lb/>nu, & </s> <s xml:id="echoid-s4307" xml:space="preserve">porté par les deux parties de la <lb/>chorde A B, & </s> <s xml:id="echoid-s4308" xml:space="preserve">C D, de ſorte qu’il eſt <lb/>diuiſé en deux parties égales, parce que <lb/>le diametre B C eſt ſemblable au fleau <pb o="38" file="00317" n="316" rhead="Les Mechaniques"/> d’vne balance, & </s> <s xml:id="echoid-s4309" xml:space="preserve">le fardeau eſt ſuſpen-<lb/>du du point E: </s> <s xml:id="echoid-s4310" xml:space="preserve">& </s> <s xml:id="echoid-s4311" xml:space="preserve">puis le ſouſtien eſt <lb/>au point B, & </s> <s xml:id="echoid-s4312" xml:space="preserve">la force eſt au point C, <lb/>c’eſt pourquoy il y a meſme raiſon de <lb/>la force au fardeau, que de B E à B C, <lb/>donc elle eſt la moitié du fardeau.</s> <s xml:id="echoid-s4313" xml:space="preserve"/> </p> <div xml:id="echoid-div130" type="float" level="2" n="3"> <figure xlink:label="fig-00316-01" xlink:href="fig-00316-01a"> <image file="00316-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00316-01"/> </figure> </div> <p> <s xml:id="echoid-s4314" xml:space="preserve">Car encore que la poulie ſe tourne, <lb/>tandis que la force ſe meut vers H, <lb/>neantmoins la ſuſdite proportion ne <lb/>change point, comme l’on void aux <lb/>points B,E,C, & </s> <s xml:id="echoid-s4315" xml:space="preserve">le leuier B C eſt rendu <lb/>perpetuel. </s> <s xml:id="echoid-s4316" xml:space="preserve">Mais en recompenſe le che-<lb/>min que fait la force eſt double du che-<lb/>min que fait le fardeau, car quand il eſt <lb/>arriué au point F, c’eſt à dire quãd il eſt <lb/>monté auſſi haut qu’A, la force à mon-<lb/>té deux fois autant, c’eſt à dire de C en <lb/>H. </s> <s xml:id="echoid-s4317" xml:space="preserve">Mais il arriue icy vne incommodi-<lb/>té à le force, à raiſon de ſa peſanteur <lb/>qui la fait incliner en bas, c’eſt pour-<lb/>quoy l’õ y a remedié par l’additiõ d’vne <lb/>autre poulie que l’õ met en haut, cõme <lb/>I on peut comprendre par cette figure, <lb/>quoy que renuerſée, dans laquelle il <lb/>faut conſiderer la chorde I B A E F, <lb/>qui paſſe à l’entour des poulies B A, & </s> <s xml:id="echoid-s4318" xml:space="preserve"><lb/>F E, & </s> <s xml:id="echoid-s4319" xml:space="preserve">eſt attachée à l’armure du point <lb/>D de la quaiſſe C D, qui eſt attachée <pb o="39" file="00318" n="317" rhead="de Galilée Florentin."/> en haut à la poûtre, ou à la pierre H, de <lb/> <anchor type="figure" xlink:label="fig-00318-01a" xlink:href="fig-00318-01"/> ſorte que la force tirant la <lb/>chorde du point B au point <lb/>I, ou du point I au point F, <lb/>fait monter le poids at-<lb/>taché au mouffle, ou à la <lb/>quaiſſe FE. </s> <s xml:id="echoid-s4320" xml:space="preserve">Or cette force <lb/>ne doit pas eſtre moindre <lb/>qu’au point A, dautant <lb/>que les momens du poids, <lb/>& </s> <s xml:id="echoid-s4321" xml:space="preserve">de la force ſont ſe2;</s> <s xml:id="echoid-s4322" xml:space="preserve">gale-<lb/>ment diſtans du centre G, <lb/>car B G eſt égal à G A, c’eſt <lb/>pourquoy la poulie B A <lb/>n’augmente pas la force. <lb/></s> <s xml:id="echoid-s4323" xml:space="preserve">Où il faut remarquer que <lb/>les Italiens appellent oét inſtrument la <lb/>Taglia, & </s> <s xml:id="echoid-s4324" xml:space="preserve">les Grecs, & </s> <s xml:id="echoid-s4325" xml:space="preserve">les Latins Tro-<lb/>chlea: </s> <s xml:id="echoid-s4326" xml:space="preserve">mais nous le nommons en Fran-<lb/>ce Mouffles; </s> <s xml:id="echoid-s4327" xml:space="preserve">ce qui comprend l’armeu-<lb/>re, ou la quaiſſe, qui ſert de boëte aux <lb/>poulies, & </s> <s xml:id="echoid-s4328" xml:space="preserve">les poulies, & </s> <s xml:id="echoid-s4329" xml:space="preserve">tout ce qui <lb/>ſert pour la perfection de cette machi-<lb/>ne: </s> <s xml:id="echoid-s4330" xml:space="preserve">on l’appelle auſſi écharpes armée de <lb/>poulies.</s> <s xml:id="echoid-s4331" xml:space="preserve"/> </p> <div xml:id="echoid-div131" type="float" level="2" n="4"> <figure xlink:label="fig-00318-01" xlink:href="fig-00318-01a"> <image file="00318-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00318-01"/> </figure> </div> <p> <s xml:id="echoid-s4332" xml:space="preserve">Or apres auoir monſtré parles deux <lb/>figures precedentes que l’on peut dou-<lb/>bler la force par le moyen des poulies, <pb o="40" file="00319" n="318" rhead="Les Mechaniques"/> il faut maintenant faire voir que l’on <lb/>peut l’augmenter tant que l’on voudra, <lb/>comme ie demonſtre aux rõbre pairs, <lb/>& </s> <s xml:id="echoid-s4333" xml:space="preserve">impair des poulies: </s> <s xml:id="echoid-s4334" xml:space="preserve">c’eſt pourquoy <lb/>ie mets le Lemme qui ſuit, afin de de-<lb/>monſtrer la maniere de multiplier la <lb/>force en raiſon quadruple.</s> <s xml:id="echoid-s4335" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div133" type="section" level="1" n="117"> <head xml:id="echoid-head197" style="it" xml:space="preserve">LEMME.</head> <p> <s xml:id="echoid-s4336" xml:space="preserve">Soient donc les deux lignes A B, & </s> <s xml:id="echoid-s4337" xml:space="preserve"><lb/> <anchor type="figure" xlink:label="fig-00319-01a" xlink:href="fig-00319-01"/> C D, qui repre-<lb/>ſentent deux le-<lb/>uìers, qui ont <lb/>leurs appuis A & </s> <s xml:id="echoid-s4338" xml:space="preserve"><lb/>C à leurs extre-<lb/>mitez, & </s> <s xml:id="echoid-s4339" xml:space="preserve">que le <lb/>fardeau G ſoit <lb/>ſuſpendu au milieu E, & </s> <s xml:id="echoid-s4340" xml:space="preserve">F & </s> <s xml:id="echoid-s4341" xml:space="preserve">qu’il ſoit <lb/>ſouſtenu par les deux forces B & </s> <s xml:id="echoid-s4342" xml:space="preserve">D ap-<lb/>pliquées aux autres extrem tezdes le-<lb/>uiers, leſquelles ie ſuppoſe auoir vn <lb/>moment égal, ie dy que le moment de <lb/>chacune eſt égal au moment de la qua-<lb/>trieſme partie du poids G, carles deux <lb/>forces B & </s> <s xml:id="echoid-s4343" xml:space="preserve">D ſouſtiennent également, <lb/>& </s> <s xml:id="echoid-s4344" xml:space="preserve">conſequemmĕt la force D n’eſt con-<lb/>trariée que par la moitié du poids G qui <pb o="41" file="00320" n="319" rhead="de Galilée Florentin."/> eſt attaché à F. </s> <s xml:id="echoid-s4345" xml:space="preserve">Mais quand la force D <lb/>ſouſtient la moitié du fardeau par le <lb/>moyen du leuier C D, elle a meſme <lb/>proportion à G que C D à C F, c’eſt à <lb/>dire ſouz double, donc le momĕt D eſt <lb/>double du moment de la moitié du <lb/>poids G qu’il ſouſtient, donc il eſt le <lb/>quart du moment des poids entier.</s> <s xml:id="echoid-s4346" xml:space="preserve"/> </p> <div xml:id="echoid-div133" type="float" level="2" n="1"> <figure xlink:label="fig-00319-01" xlink:href="fig-00319-01a"> <image file="00319-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00319-01"/> </figure> </div> <p> <s xml:id="echoid-s4347" xml:space="preserve">L’on demonſtre la meſme choſe du <lb/>moment B, de ſorte qu’il eſt raiſonna-<lb/>ble que le poids eſtant également ſou-<lb/>ſtenu par les 4 poulies qui ſe voyent <lb/>dans cette autre figure, chacune porte <lb/>la quatrieſme partie du fardeau: </s> <s xml:id="echoid-s4348" xml:space="preserve">ce que <lb/>io monſtre en cette maniere.</s> <s xml:id="echoid-s4349" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4350" xml:space="preserve">Que le poids X ſoit attaché au point <lb/>K par le moven du moufflc K X, ie dy <lb/>que la force égale à la quatrieſme par-<lb/>tie du fardeau X, le ſouſtiendra, car ſi <lb/>l’on s’imagine que les deux diametres <lb/>B A & </s> <s xml:id="echoid-s4351" xml:space="preserve">D E ſoient deux leuiers ſembla-<lb/>bles à ceux que nous auons expliquez <lb/>dans la figure precedente, & </s> <s xml:id="echoid-s4352" xml:space="preserve">que le far-<lb/>deau ſoit ſuſpendu aux points C E F, l’õ <lb/>trouuera que les appuis, ou les ſupports <lb/>deſdits leuiers répondent aux points D <lb/>& </s> <s xml:id="echoid-s4353" xml:space="preserve">A, conſequemment que la force ap-<lb/>pliquée en B ou en Is ſouſtiendra le <pb o="42" file="00321" n="320" rhead="Les Mechaniques"/> poids X, dont il ſera ſousquadruple. <lb/></s> <s xml:id="echoid-s4354" xml:space="preserve"> <anchor type="figure" xlink:label="fig-00321-01a" xlink:href="fig-00321-01"/> Et ſi l’õ adiouſtevne pou-<lb/>lie en haut, & </s> <s xml:id="echoid-s4355" xml:space="preserve">que lachor-<lb/>de paſſe par O M B, la <lb/>force L, ſouſtiendra le <lb/>meſme poids. </s> <s xml:id="echoid-s4356" xml:space="preserve">Mais il <lb/>faut accommoder les 4. <lb/></s> <s xml:id="echoid-s4357" xml:space="preserve">chordes, cõme elles ſont <lb/>dans ces mouffles, en ſor-<lb/>te qu’elles ne ſe meſlent <lb/>point lesvnes auec lcs au-<lb/>tres. </s> <s xml:id="echoid-s4358" xml:space="preserve">Or il faut icy remar-<lb/>quer ce que nous auons <lb/>deſia dit pluſieurs fois, à <lb/>ſçauoir que l’õ ne gaigne <lb/>rien auec ces inſtrumens, <lb/>car ſi l’on épargne la for-<lb/>ce, l’on augmente le tĕps: </s> <s xml:id="echoid-s4359" xml:space="preserve"><lb/>de là vient qu’il faut tirer <lb/>quatre pieds de chorde <lb/>depuis O iuſques à L pour faire monter <lb/>le poids X d’vn pied de X en C: </s> <s xml:id="echoid-s4360" xml:space="preserve">& </s> <s xml:id="echoid-s4361" xml:space="preserve">l’on <lb/>trouucrra perpetuellement que l’on <lb/>perd autant de temps, ou que l’on eſt <lb/>contraint d’allonger autant le chemin, <lb/>que l’on gaigne de force.</s> <s xml:id="echoid-s4362" xml:space="preserve"/> </p> <div xml:id="echoid-div134" type="float" level="2" n="2"> <figure xlink:label="fig-00321-01" xlink:href="fig-00321-01a"> <image file="00321-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00321-01"/> </figure> </div> <p> <s xml:id="echoid-s4363" xml:space="preserve">Si l’on veut que la force s’augmente <lb/>au ſextuple, il faut adiouſter vne autre <pb o="43" file="00322" n="321" rhead="de Galilée Florentin."/> poulie en bas, comme ie monſtre par la <lb/> <anchor type="figure" xlink:label="fig-00322-01a" xlink:href="fig-00322-01"/> figure precedente, dãs <lb/>laquelle on void les <lb/>trois leuiers A B, C D, <lb/>& </s> <s xml:id="echoid-s4364" xml:space="preserve">F E. </s> <s xml:id="echoid-s4365" xml:space="preserve">Que le poids K <lb/>ſoit attachéa G, H, & </s> <s xml:id="echoid-s4366" xml:space="preserve"><lb/>I, & </s> <s xml:id="echoid-s4367" xml:space="preserve">que les trois for-<lb/>ces B, D, F, ſoient éga-<lb/>les, & </s> <s xml:id="echoid-s4368" xml:space="preserve">qu’elles ſouſtien-<lb/>nent égalemĕt le poids K, aſin que cha-<lb/>cune en ſouſtienne le tiers, & </s> <s xml:id="echoid-s4369" xml:space="preserve">parce que <lb/>la force B ſouſtenant le poids pĕdu à G <lb/>eſt la moitié du poids, & </s> <s xml:id="echoid-s4370" xml:space="preserve">que nous auõs <lb/>ſuppolé qu’il ſouſtient le tiers dudit <lb/>poids, il s’enſuit que la force B eſt éga-<lb/>le à la moitié du tiers de K, c’eſt à dire <lb/>à la ſixicſme partie de K. </s> <s xml:id="echoid-s4371" xml:space="preserve">Car il ſaut tou-<lb/>ſiours s imaginer que les appuys A, C, E <lb/>ſouſtiennent autant du poids que les <lb/>forces B, D, F. </s> <s xml:id="echoid-s4372" xml:space="preserve">Par où il eſt ayſè de <lb/>comprendre que le mouffle inferieur <lb/>avant trois poulies, & </s> <s xml:id="echoid-s4373" xml:space="preserve">le ſupericur deux, <lb/>ou 3. </s> <s xml:id="echoid-s4374" xml:space="preserve">autres, que l’on peut multiplier la <lb/>force ſelon le nombre ſenaire: </s> <s xml:id="echoid-s4375" xml:space="preserve">ce que <lb/>l’on peut ayſément s’imaginer en con-<lb/>ſiderant vn mouffle compoſé de ſix <lb/>pouiies.</s> <s xml:id="echoid-s4376" xml:space="preserve"/> </p> <div xml:id="echoid-div135" type="float" level="2" n="3"> <figure xlink:label="fig-00322-01" xlink:href="fig-00322-01a"> <image file="00322-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00322-01"/> </figure> </div> <p> <s xml:id="echoid-s4377" xml:space="preserve">Or pour expliquer la maniere de <pb o="44" file="00323" n="322" rhead="Les Mechaniques"/> multiplier la force ſelon vn nõbre im-<lb/>pair: </s> <s xml:id="echoid-s4378" xml:space="preserve">il faut encore conſiderer le leuier <lb/>de la page 40. </s> <s xml:id="echoid-s4379" xml:space="preserve">A B, dont l’appuy eſt en <lb/>A, & </s> <s xml:id="echoid-s4380" xml:space="preserve">le poids G eſt attaché à E, & </s> <s xml:id="echoid-s4381" xml:space="preserve">ſou-<lb/>ſtenu par deux forces égales, dont l’vne <lb/>eſt en D, & </s> <s xml:id="echoid-s4382" xml:space="preserve">l’autre en B, & </s> <s xml:id="echoid-s4383" xml:space="preserve">l’õ trouuer-<lb/>ra que chaque force a vn moment égal <lb/>au tiers du poids, G, parce que la force <lb/>miſe en E ſouſtient vn poids qui luy eſt <lb/>égal, dautant qu’elle eſt dans la ligne <lb/>de la ſuſpenſion dudit poids. </s> <s xml:id="echoid-s4384" xml:space="preserve">Mais la <lb/>force eſtãt en B ſouſtient deux fois au-<lb/>tant que ſon poids, parce que ſa diſtan-<lb/>ce d’auec l’appuy A eſt double de E A, <lb/>Et parce que l’on ſuppoſe que les 2. </s> <s xml:id="echoid-s4385" xml:space="preserve">for-<lb/>ces B, & </s> <s xml:id="echoid-s4386" xml:space="preserve">E ſont egales, il s’enſuit que la <lb/>partie de G ſouſtenuë par B eſt double <lb/>de la partie que ſouſtient E: </s> <s xml:id="echoid-s4387" xml:space="preserve">donc ſi l’on <lb/>fait deux parties du poids G, & </s> <s xml:id="echoid-s4388" xml:space="preserve">que l’v-<lb/>ne ſoit double de l’autre, la plus grande <lb/>ſera de{2/3}, & </s> <s xml:id="echoid-s4389" xml:space="preserve">la moindre de{1/3} de G, donc <lb/>le moment de la force E ſera égal au <lb/>tiers de G: </s> <s xml:id="echoid-s4390" xml:space="preserve">& </s> <s xml:id="echoid-s4391" xml:space="preserve">parce que nous auons <lb/>ſuppoſé B égal à E, la force B eſt égale <lb/>à la force E, & </s> <s xml:id="echoid-s4392" xml:space="preserve">conſequemment chacu-<lb/>ne eſt égale au tiers du poids G.</s> <s xml:id="echoid-s4393" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4394" xml:space="preserve">Cecy ayant eſté demonſtré, il faut <lb/>l’appliquer aux mouffies qui ſuiuent, <pb o="45" file="00324" n="323" rhead="de Galilée Florentin."/> dont la poulie A B C ſe tourne au tour <lb/> <anchor type="figure" xlink:label="fig-00324-01a" xlink:href="fig-00324-01"/> du centre G, auquelle far-<lb/>deau H eſt attaché. </s> <s xml:id="echoid-s4395" xml:space="preserve">L’au-<lb/>tre poulie ſuperieure eſt <lb/>F E; </s> <s xml:id="echoid-s4396" xml:space="preserve">outre leſquelles il <lb/>faut encore conſiderer la <lb/>chorde I B C A E F D, qui <lb/>eſt atta chée au point B, & </s> <s xml:id="echoid-s4397" xml:space="preserve"><lb/>puis la force qui eſt en I, <lb/>laquelle ne ſupporttera <lb/>que le tiers du fardeau H. <lb/></s> <s xml:id="echoid-s4398" xml:space="preserve">Par où il eſt euidĕt qu’ A B <lb/>eſt vn leuier, & </s> <s xml:id="echoid-s4399" xml:space="preserve">que la for-<lb/>ce I s’applique à ſes extre-<lb/>mitez B, & </s> <s xml:id="echoid-s4400" xml:space="preserve">A. </s> <s xml:id="echoid-s4401" xml:space="preserve">G eſt le <lb/>point du ſouſtien, auquel <lb/>H eſt ſuſpendu. </s> <s xml:id="echoid-s4402" xml:space="preserve">Vne autre force eſt en-<lb/>core appliquée en D, de ſorte que le <lb/>poids eſt arreſté par 3. </s> <s xml:id="echoid-s4403" xml:space="preserve">chordes qui con-<lb/>tribuent également à ſouſtenir le poids <lb/>H: </s> <s xml:id="echoid-s4404" xml:space="preserve">car la force D eſt appliquée au mi-<lb/>lieu du leuier, & </s> <s xml:id="echoid-s4405" xml:space="preserve"><emph style="sc">B</emph> à ſon extremité, c’eſt <lb/>pourquoy chaque force ne ſupporte <lb/>que le tiers du poids H. </s> <s xml:id="echoid-s4406" xml:space="preserve">D’où il s’enſuit <lb/>que la force I ayant ſon moment égal <lb/>audit tiers, peut ſouſtenir, & </s> <s xml:id="echoid-s4407" xml:space="preserve">leuer le <lb/>poids entier. </s> <s xml:id="echoid-s4408" xml:space="preserve">Mais I fera trois fois au-<lb/>tant de chemin que le poids H, parce <pb o="46" file="00325" n="324" rhead="Les Mechaniques"/> qu’il ſuit la longueur de trois chordes <lb/>I B, A E, & </s> <s xml:id="echoid-s4409" xml:space="preserve">F D, dont l’vne meſure le <lb/>chemin du ſardeau.</s> <s xml:id="echoid-s4410" xml:space="preserve"/> </p> <div xml:id="echoid-div136" type="float" level="2" n="4"> <figure xlink:label="fig-00324-01" xlink:href="fig-00324-01a"> <image file="00324-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00324-01"/> </figure> </div> </div> <div xml:id="echoid-div138" type="section" level="1" n="118"> <head xml:id="echoid-head198" xml:space="preserve"><emph style="sc">Chap</emph>. IX. <lb/>De la Viz.</head> <p> <s xml:id="echoid-s4411" xml:space="preserve"><emph style="bf">E</emph>Ntre tous les inſtrumens Mecha-<lb/>niques que l’on a inuentez pour la <lb/>vie humaine, la viz que les Grecs, & </s> <s xml:id="echoid-s4412" xml:space="preserve"><lb/>les Latins appellent Cochlea, tient le pre-<lb/>mier rãg tant pour ſa ſubtilité que pour <lb/>ſon vtilité, dautant qu’elle ſert pour <lb/>arreſter, pour faire mouuoir, & </s> <s xml:id="echoid-s4413" xml:space="preserve">pour <lb/>preſſer auec vne treſ-grande force, & </s> <s xml:id="echoid-s4414" xml:space="preserve"><lb/>qu’elle tient fort peu de place, quoy <lb/>qu’elle aye des effets treſ-ſignales que <lb/>les autres in ſtrumens ne peuuent auoir <lb/>s’ils ne ſont reduits en de treſ grandes <lb/>Machines. </s> <s xml:id="echoid-s4415" xml:space="preserve">C’eſt pourquoy il faut ex-<lb/>pliquer la nature, & </s> <s xml:id="echoid-s4416" xml:space="preserve">l’origine de la viz, <lb/>& </s> <s xml:id="echoid-s4417" xml:space="preserve">pour ce ſuiet ie demõſtre icy vn theo-<lb/>reſme, qui ſemblera, peuſt-eſtre, fort <lb/>éloigné de ce diſcours, quoy qu’il en <lb/>ſoit la baſe, & </s> <s xml:id="echoid-s4418" xml:space="preserve">le fondement.</s> <s xml:id="echoid-s4419" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4420" xml:space="preserve">Ie dy donc que tous les corps peſans <pb o="47" file="00326" n="325" rhead="de Galilée Florentin."/> ont vne inclination vers le centre de la <lb/>terre, non ſeulement quand ils y peu-<lb/>uent deſcendre perpendiculairement, <lb/>mais auſſi quand ils y peuuent arriuer <lb/>par vne ligne oblique, ou par vn plan <lb/>incliné: </s> <s xml:id="echoid-s4421" xml:space="preserve">ce que l’on peut confirmer par <lb/>l’eau qui ne tombe ſeulement pas à <lb/>plomb de quelque lieu éminent, mais <lb/>elle coule auſſi ſur la terre par vne li-<lb/>gne qui a fort peu d’inclination, com-<lb/>me l’on remarque aux cours des fleu-<lb/>ues, dont les eaux deſcendent libre-<lb/>ment, pourueu que leur lit ayt tant ſoit <lb/>peu de pante.</s> <s xml:id="echoid-s4422" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4423" xml:space="preserve">Or ce qui arriue aux corps fluides, ſe <lb/>remarque, ſemblablement aux corps <lb/>qui ſont durs, pourueu que les figures, <lb/>& </s> <s xml:id="echoid-s4424" xml:space="preserve">les autres empeſchemens acciden-<lb/>tels, & </s> <s xml:id="echoid-s4425" xml:space="preserve">extericurs ne les diuertiſſent <lb/>point: </s> <s xml:id="echoid-s4426" xml:space="preserve">Car ſi l’on prend vne bale par-<lb/>faitement tonde, & </s> <s xml:id="echoid-s4427" xml:space="preserve">polie, ſoit de mar-<lb/>bre, de verre, ou d’autre matiere, qui <lb/>reçoiue vn excellent poly, & </s> <s xml:id="echoid-s4428" xml:space="preserve">que l’on <lb/>la mette ſur vn plã incliné, qui ſoit auſ-<lb/>ſi patfaitement vni, & </s> <s xml:id="echoid-s4429" xml:space="preserve">poly que la gla-<lb/>ce d’vn miroir, elle deſcendra ſur ledit <lb/>plan, ſe mouuera perpetuellemĕt tan-<lb/>dis qu’elle trouuera la moindre inclìna- <pb o="48" file="00327" n="326" rhead="Les Mechaniques"/> tion que l’on ſe puiſſe imaginer: </s> <s xml:id="echoid-s4430" xml:space="preserve">de ſor-<lb/>te qu’elle ne ſarreſtera point iuſques à <lb/>ce qu’elle rencontre vne ſurface qui <lb/>ſoit à niueau, ou équidiſtante de l’ho-<lb/>rizon, comme eſt celle d’vn lac, ou d’ vn <lb/>eſtang glacé, ſur laquelle la bale ſe <lb/>tiendroit ferme, & </s> <s xml:id="echoid-s4431" xml:space="preserve">immobile, mais auec <lb/>telle condition que la moindre force <lb/>l’ébranleroit, & </s> <s xml:id="echoid-s4432" xml:space="preserve">que le plan ſinclinant <lb/>de la largeur d’vn cheueu, elle commĕ-<lb/>ceroit incontinent à ſe mouuoir & </s> <s xml:id="echoid-s4433" xml:space="preserve">à <lb/>deſcendre vers la partie inclinée, & </s> <s xml:id="echoid-s4434" xml:space="preserve"><lb/>qu’au contraire elle ne pourroit eſtre <lb/>meuë ſans violĕcevers la partie du plan <lb/>qui monte. </s> <s xml:id="echoid-s4435" xml:space="preserve">Or il eſt neceſſaire que la <lb/>boule ſ’arreſte ſur vne ſurface parfaite-<lb/>ment équilibre, & </s> <s xml:id="echoid-s4436" xml:space="preserve">qu’elle demeure cõ-<lb/>me indifferente entre le mouuement & </s> <s xml:id="echoid-s4437" xml:space="preserve"><lb/>le repos: </s> <s xml:id="echoid-s4438" xml:space="preserve">de ſorte que la moindre force <lb/>du mõde ſuffiſe pour la mouuoir, com-<lb/>me la moindre force que l’on peut ſi-<lb/>maginer dans l’air, ſuffit pour la rete-<lb/>nir.</s> <s xml:id="echoid-s4439" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4440" xml:space="preserve">D’où l’on peut tirer cette concluſion, <lb/>que tout corps peſant, tous les empeſ-<lb/>chemens exterieurs eſtant oſtez, peut <lb/>eſtre meu ſur vn plan horizontal par la <lb/>moindre force que ce ſoit, & </s> <s xml:id="echoid-s4441" xml:space="preserve">qu’il faut <pb o="49" file="00328" n="327" rhead="de Galilée Florentin."/> d’autant plus de force pour le mouuoir <lb/>ſur vn plan incliné, qu’il a plus d’incli-<lb/>nation au mouuement contraire.</s> <s xml:id="echoid-s4442" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4443" xml:space="preserve">Ce qui ſera plus intelligible par <lb/> <anchor type="figure" xlink:label="fig-00328-01a" xlink:href="fig-00328-01"/> certe figure, dans <lb/>laquelle A B ſoit le <lb/>plan parallele à l’o-<lb/>rizon, ſur lequel la <lb/>boule eſt indif-<lb/>ferente au mouue-<lb/>ment, & </s> <s xml:id="echoid-s4444" xml:space="preserve">au repos, de ſorte que le vent <lb/>ou la moindre force la peut faire mou-<lb/>uoir; </s> <s xml:id="echoid-s4445" xml:space="preserve">mais il faut vne plus grande force <lb/>pour la faire mouuoit du point A au <lb/>point C ſur le plan incliné A C, & </s> <s xml:id="echoid-s4446" xml:space="preserve">en-<lb/>core vne plus grande pour la mouuoir <lb/>ſur les plans A D, & </s> <s xml:id="echoid-s4447" xml:space="preserve">A E: </s> <s xml:id="echoid-s4448" xml:space="preserve">& </s> <s xml:id="echoid-s4449" xml:space="preserve">finalement <lb/>l’on ne peut la leuer ſur le plan perpen-<lb/>diculaire A F, que par vne force égale à <lb/>tout le poids G.</s> <s xml:id="echoid-s4450" xml:space="preserve"/> </p> <div xml:id="echoid-div138" type="float" level="2" n="1"> <figure xlink:label="fig-00328-01" xlink:href="fig-00328-01a"> <image file="00328-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00328-01"/> </figure> </div> <p> <s xml:id="echoid-s4451" xml:space="preserve">Or l’on ſçaura cõbien il faut moins de <lb/>force pour leuer le fardeau ſur les plans <lb/>A E, A D, & </s> <s xml:id="echoid-s4452" xml:space="preserve">c. </s> <s xml:id="echoid-s4453" xml:space="preserve">ſi l’õ tire les lignes perpen-<lb/>diculaircę à l’orizon CH, DI & </s> <s xml:id="echoid-s4454" xml:space="preserve">KE, car <lb/>il y aura meſme proportion des forces <lb/>neceſſ ures pour éleuer le fardeau ſur <lb/>chaſque plan audit fardeau, que des <lb/>lignes perpendidulaires aux lignes de <pb o="50" file="00329" n="328" rhead="Les Mechaniques"/> leurs plans. </s> <s xml:id="echoid-s4455" xml:space="preserve">Ce que Pappus Alexãdrin <lb/>s’eſt efforcé de monſtrer dans le 8. </s> <s xml:id="echoid-s4456" xml:space="preserve">liure <lb/>de ſes Collections Mathematiques, <lb/>mais il s’eſt trompé, à mon aduis, en ce <lb/>qu’il a ſupposé vne force donnée pour <lb/>mouuoir le poids ſur le plan horizõtal, <lb/>ce qui eſt faux, parce qu’il ne faut nulle <lb/>force ſenſible, ſi l’on oſte les empeſche-<lb/>mens exterieurs. </s> <s xml:id="echoid-s4457" xml:space="preserve">C’eſt pourquoy il eſt <lb/>plus à propos de chercher la force qui <lb/>meut le fardeau ſur le plan vertical ou <lb/>perpendiculaire A F, laquelle eſt tou-<lb/>ſiours égale à la peſanteut du fardeau, <lb/>que de cherchet la force qui le meut <lb/>ſur le plan horizontal.</s> <s xml:id="echoid-s4458" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4459" xml:space="preserve">Soit donc le cercle AIC, dontle dia-<lb/> <anchor type="figure" xlink:label="fig-00329-01a" xlink:href="fig-00329-01"/> mettre <lb/>eſt ABC, <lb/>& </s> <s xml:id="echoid-s4460" xml:space="preserve">le cen-<lb/>tre B; </s> <s xml:id="echoid-s4461" xml:space="preserve">& </s> <s xml:id="echoid-s4462" xml:space="preserve"><lb/>qu’il y ait <lb/>deux for-<lb/>ces éga-<lb/>les aux <lb/>points A <lb/>& </s> <s xml:id="echoid-s4463" xml:space="preserve">C, qui <lb/>repreſĕtĕt <lb/>vne balãce mobile autour du centre B, <pb o="51" file="00330" n="329" rhead="de Galilée Florentin."/> il eſt certain que le poids C ſera ſouſte-<lb/>nu par la force A. </s> <s xml:id="echoid-s4464" xml:space="preserve">Mais ſi l’on s’imagine <lb/>que le bras de la balance BC tombe en <lb/>BF, de ſorte qu’il demeure touſiours <lb/>continué auec le bras AB, & </s> <s xml:id="echoid-s4465" xml:space="preserve">qu’ils ayĕt <lb/>tous deux leur point fixe, ou leur appuy <lb/>en B, le moment F, ne ſera pas égal au <lb/>moment A, parce que la diſtance <lb/>du poinct. </s> <s xml:id="echoid-s4466" xml:space="preserve">ou du poids F d’auec la ligne <lb/>de direction BI n’eſt pas egale à la di-<lb/>ſ@ance de la force, ou du poids A d’auec <lb/>la meſme ligne de direction, comme <lb/>l’on demonſtre par la petpendiculaire <lb/>KF, qui determine la diſtãce du poinct <lb/>Fauec B, ou I, de ſorte que le momĕt, <lb/>ou le poids, de C porté en F eſt dimi-<lb/>nué de la diſtance de KC, & </s> <s xml:id="echoid-s4467" xml:space="preserve">qu’il n’a <lb/>plus que le momĕt B K: </s> <s xml:id="echoid-s4468" xml:space="preserve">c’eſt pourquoy <lb/>il faut conclure que le moment d’A <lb/>ſurpaſſe celuy de F de K C. </s> <s xml:id="echoid-s4469" xml:space="preserve">Il faut dire <lb/>la meſme choſe du poids C tranſporté <lb/>au point L, ou en tel autre point du cer-<lb/>cle que l’on voudra, car la force en A <lb/>ſera d’autant plus grande que la force <lb/>L, que B A, eſt plus grand que B M.</s> <s xml:id="echoid-s4470" xml:space="preserve"/> </p> <div xml:id="echoid-div139" type="float" level="2" n="2"> <figure xlink:label="fig-00329-01" xlink:href="fig-00329-01a"> <image file="00329-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00329-01"/> </figure> </div> <p> <s xml:id="echoid-s4471" xml:space="preserve">Parce où l’on void que le poids C <lb/>diminuë ſon moment, & </s> <s xml:id="echoid-s4472" xml:space="preserve">ſon inclina-<lb/>tion d’aller en bas ſelon les differences <pb o="52" file="00331" n="330" rhead="Les Mechaniques"/> inclinatiõs des plãs FB, LB & </s> <s xml:id="echoid-s4473" xml:space="preserve">c. </s> <s xml:id="echoid-s4474" xml:space="preserve">de ſorte <lb/>que l’on peut s’imaginer la deſcente de <lb/>C par tous les points du quart de cercle <lb/>CI, lequel contient vn plan qui s’incli-<lb/>ne perpetuellement de plus en plus, <lb/>& </s> <s xml:id="echoid-s4475" xml:space="preserve">que la peſanteur du poids en C eſt <lb/>totale & </s> <s xml:id="echoid-s4476" xml:space="preserve">entiere, & </s> <s xml:id="echoid-s4477" xml:space="preserve">conſequemment <lb/>qu’il ſe porte de toute ſon inclination à <lb/>deſcendre, parce qu’il n’eſt nullement <lb/>empeſché par la circonferĕce, lors qu’il <lb/>ſe rencontré ſur la tangente DCE.</s> <s xml:id="echoid-s4478" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4479" xml:space="preserve">Mais quand il eſt en F, il eſt en partie <lb/>ſouſtenu par le plan circulaire, & </s> <s xml:id="echoid-s4480" xml:space="preserve">ſa <lb/>pente, ou l’inclination qu’il a vers le <lb/>centre de la terre eſt autant diminuée <lb/>que BC ſurpaſſe BK: </s> <s xml:id="echoid-s4481" xml:space="preserve">de maniere qu’il <lb/>ſe tient éleué ſur ce plan de meſme que <lb/>s’il eſtoit appuyé ſur la tangente GFH, <lb/>d’autãt que le point d’inclination F de <lb/>la circonference CI ne differe point de <lb/>l’inclination de la tangente GFH, que <lb/>par l’angle inſenſible du contact.</s> <s xml:id="echoid-s4482" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4483" xml:space="preserve">Il faut dire la meſme choſe du point <lb/>L, lequel eſt incliné comme s’il eſtoit <lb/>ſur le plan de la tangeule NLO, car il <lb/>diminuë ſa pent@, & </s> <s xml:id="echoid-s4484" xml:space="preserve">ſon inclinatiõ qu’il <lb/>a en Cen meſme proportion que Bk eſt <lb/>à BC, puis qu’il eſt conſtant par la ſimi- <pb o="53" file="00332" n="331" rhead="de Galilée Florentin."/> litude des triangles KBF & </s> <s xml:id="echoid-s4485" xml:space="preserve">KFH, qu’il <lb/>y a meſme raiſon de FK à FH que de <lb/>KB à BF. </s> <s xml:id="echoid-s4486" xml:space="preserve">D’où nous conclüons que la <lb/>proportion du moment total & </s> <s xml:id="echoid-s4487" xml:space="preserve">abſolu <lb/>du mobile dans la perpendiculaire de <lb/>l’orizon auec le moment qu’il a ſur le <lb/>plan incliné HF eſt la meſme que la <lb/>proportion de FH à FK.</s> <s xml:id="echoid-s4488" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4489" xml:space="preserve">Ce qui ſe void plus diſtinctement <lb/> <anchor type="figure" xlink:label="fig-00332-01a" xlink:href="fig-00332-01"/> dans le triangle A <lb/>BC car le moment <lb/>du mobile ſur le <lb/>plan AC eſt d’au-<lb/>tãt moindre que le <lb/>moment qu’il a dãs <lb/>la perpendiculaire CB, que CB eſt <lb/>moindre que C A. </s> <s xml:id="echoid-s4490" xml:space="preserve">Et parce qu’il ſuffit <lb/>pour mouuoir le fardeau, que la force <lb/>ſurpaſſe inſenſiblemĕt celle quile ſou-<lb/>ſtient en quelque lieu que cèſoit, nous <lb/>faisõs icy cette propoſition vniuerſelle.</s> <s xml:id="echoid-s4491" xml:space="preserve"/> </p> <div xml:id="echoid-div140" type="float" level="2" n="3"> <figure xlink:label="fig-00332-01" xlink:href="fig-00332-01a"> <image file="00332-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00332-01"/> </figure> </div> <p> <s xml:id="echoid-s4492" xml:space="preserve">Que ſur le plan elcué la force a la meſ-<lb/><emph style="bf">me proportion au poids que la perpen-</emph> <lb/><emph style="bf">diculaire tirée de l’extremité du plan ſur</emph> <lb/><emph style="bf">l orizon à la longueur dudit plan, c’ eſt à dire</emph> <lb/><emph style="bf">que la tangente à la ſecante</emph>, car FK eſt la <lb/>tangente du cercle deſcrit ſur le dia-<lb/>mettre KH, & </s> <s xml:id="echoid-s4493" xml:space="preserve">FH eſt la ſecante.</s> <s xml:id="echoid-s4494" xml:space="preserve"/> </p> <pb o="54" file="00333" n="332" rhead="Les Mechaniques"/> <p> <s xml:id="echoid-s4495" xml:space="preserve">Cecy eſtant poſé, ie reuiens à mon <lb/> <anchor type="figure" xlink:label="fig-00333-01a" xlink:href="fig-00333-01"/> premier deſſein, qui con-<lb/>ſiſte à trouuer, & </s> <s xml:id="echoid-s4496" xml:space="preserve">à expli-<lb/>querla nature de laviz; </s> <s xml:id="echoid-s4497" xml:space="preserve">c’eſt <lb/>pour ce ſubiet qu’il faut <lb/>conſiderer le triangle AB <lb/>C, dans lequel A B repreſente la ligne <lb/>horizontale, BC la perpendiculaire à <lb/>l’orizon, & </s> <s xml:id="echoid-s4498" xml:space="preserve">AC le plan eleué, & </s> <s xml:id="echoid-s4499" xml:space="preserve">encliné <lb/>ſur l’orizon, ſut lequel le mobile E eſt <lb/>tiré & </s> <s xml:id="echoid-s4500" xml:space="preserve">emporté par vne force d’autant <lb/>moindre que le poids E, que la ligne <lb/>BC eſt moindre que C A. </s> <s xml:id="echoid-s4501" xml:space="preserve">Or quand on <lb/>veut eſleuer E plus haut ſur le plan fer-<lb/>me A C, c’eſt meſme choſe que ſi le tri-<lb/>angle BCA eſtoit pouſſé iuſques au <lb/> <anchor type="figure" xlink:label="fig-00333-02a" xlink:href="fig-00333-02"/> point H, parce que s’il ſe <lb/>trouuoit dans la meſme <lb/>aſſiette que le triãgle HFG, <lb/>le mobile auroit monté la <lb/>hauteur AI, & </s> <s xml:id="echoid-s4502" xml:space="preserve">ſeroit en E.</s> <s xml:id="echoid-s4503" xml:space="preserve"/> </p> <div xml:id="echoid-div141" type="float" level="2" n="4"> <figure xlink:label="fig-00333-01" xlink:href="fig-00333-01a"> <image file="00333-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00333-01"/> </figure> <figure xlink:label="fig-00333-02" xlink:href="fig-00333-02a"> <image file="00333-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00333-02"/> </figure> </div> <p> <s xml:id="echoid-s4504" xml:space="preserve">D’où il s’enſuit que la na-<lb/>ture de la viz n’eſt autre <lb/>choſe que le triangle ACB, <lb/>lequel eſtant pouſlé en auãt <lb/>ſouſtient la peſanteur & </s> <s xml:id="echoid-s4505" xml:space="preserve"><lb/>l’éleue: </s> <s xml:id="echoid-s4506" xml:space="preserve">& </s> <s xml:id="echoid-s4507" xml:space="preserve">que c’eſt par ſon <lb/>moyen qu’elle a eſté inuen- <pb o="55" file="00334" n="333" rhead="de Galilée Florentin."/> tée. </s> <s xml:id="echoid-s4508" xml:space="preserve">Mais l’on s’eſt auisé d’enuironner <lb/>le cylindre B D du meſme triangle, <lb/>affin de le reduire dans vne machine <lb/>beaucoup moindre, & </s> <s xml:id="echoid-s4509" xml:space="preserve">plus commode.</s> <s xml:id="echoid-s4510" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4511" xml:space="preserve">Et pour ce ſubiet l’on adonné la meſ-<lb/>me hauteur du triangle au cylindre, <lb/>BE, & </s> <s xml:id="echoid-s4512" xml:space="preserve">l’inclination de l’hypotenuſe <lb/>CA à l’helice A E, & </s> <s xml:id="echoid-s4513" xml:space="preserve">à toutes les autres <lb/>qui ſuiuĕt de bas en haut, & </s> <s xml:id="echoid-s4514" xml:space="preserve">qui fõtl’he-<lb/>lice continuë A E F GHID, laquelle on <lb/>appelle ordinairemĕt le traict de la viz.</s> <s xml:id="echoid-s4515" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4516" xml:space="preserve">C’eſt donc en cette maniere que l’in-<lb/>ſtrument appellé par les Grecs & </s> <s xml:id="echoid-s4517" xml:space="preserve">par <lb/>les<emph style="sc">L</emph>atins cochlea & </s> <s xml:id="echoid-s4518" xml:space="preserve">que nous appelliõs la <lb/>viz, à eſté inuĕtóe, affin qu’en la tornãt <lb/>on eſléue les fardeaux cõme l’on feroit <lb/>ſur le triangle precedent, car l’on trou-<lb/>uera touſiours dans la viz, comme ſur <lb/>tel autre plan que ce ſoit, que la force <lb/>eſt au poids poſé ſur vn plan incliné <lb/>comme la hauteur dudit plan à ſa lon-<lb/>gucur: </s> <s xml:id="echoid-s4519" xml:space="preserve">& </s> <s xml:id="echoid-s4520" xml:space="preserve">conſequemment que la force <lb/>de la viz ABCD ſera multipliée ſelon <lb/>que toute l’helice ſera plus grande que <lb/>toute la hauteur du cylindre. </s> <s xml:id="echoid-s4521" xml:space="preserve">Par où il <lb/>eſt ayſé d’entendre, & </s> <s xml:id="echoid-s4522" xml:space="preserve">de conclure que <lb/>la viz eſt d’autant plus forte que ſes <lb/>helices ſont plus couchées, & </s> <s xml:id="echoid-s4523" xml:space="preserve">plus in- <pb o="56" file="00335" n="334" rhead="Les Mechaniques"/> clinées ſur l’orizon, par ce que la lon-<lb/>gueur des triangles ſuiuant leſquels el-<lb/>les ſont formées eſt en plus grande pro-<lb/>portion à leur hauteur. </s> <s xml:id="echoid-s4524" xml:space="preserve">Neant moin; </s> <s xml:id="echoid-s4525" xml:space="preserve">il <lb/>n’eſt pas neceſſaire de meſurer la lon-<lb/>gueur de toute Phelice, ny la hauteur <lb/>totale du cylindre pour congnoiſtre la <lb/>force d’vne viz propoſée, car il ſuffit de <lb/>ſçauoir combien de fois l’vn des tours <lb/>de l’helice contiĕt ſa hauteur, par exem-<lb/>ple, combien de fois AF eſt contenu en <lb/>A E, & </s> <s xml:id="echoid-s4526" xml:space="preserve">en E F parce qu’il y à melme <lb/>proportion de toute la hauteur CB à <lb/>toute l’helice, que de F A à A EF, que <lb/>les Italiens appellent <emph style="bf">verme de la vite</emph>.</s> <s xml:id="echoid-s4527" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4528" xml:space="preserve">Or apres auoir expliqué la nature de <lb/>la viz, l’on peut ay ſemĕt ſçauoir toutes <lb/>ſes proprietez, par exemple que l’on fait <lb/>monter le poids par le moyen de ſa ma-<lb/>trice auec les helices concaucs dans <lb/>leſquelles entrele noyau de la viz auec <lb/>ſes helices cõuexes cõme il eſt ayſé de <lb/>remarquer aux viz d@s p’eſſoirs, & </s> <s xml:id="echoid-s4529" xml:space="preserve">de <lb/>toutes ſortes de preſſes à écroux, dont <lb/>le noyau eſtant tourné fait monter la-<lb/>dite matrice, & </s> <s xml:id="echoid-s4530" xml:space="preserve">quant & </s> <s xml:id="echoid-s4531" xml:space="preserve">quant le poids <lb/>qui y eſt attaché.</s> <s xml:id="echoid-s4532" xml:space="preserve"/> </p> <pb o="57" file="00336" n="335" rhead="de Galilée Florentin."/> <p> <s xml:id="echoid-s4533" xml:space="preserve">Mais il faut touſiours ſe ſouuenir que <lb/>l’õ perd autãt de viſteſſe, & </s> <s xml:id="echoid-s4534" xml:space="preserve">de tĕps, que <lb/>l’on gaigne de force, car A B eſt le plan <lb/>horizõtal, & </s> <s xml:id="echoid-s4535" xml:space="preserve">A C le plan incliné, dõt la <lb/>hauteur eſt meſurée, & </s> <s xml:id="echoid-s4536" xml:space="preserve">determinée par <lb/>la perpendiculaire C B; </s> <s xml:id="echoid-s4537" xml:space="preserve">Or ſi l’on poſe <lb/>vn mobile ſur le plan AC, & </s> <s xml:id="echoid-s4538" xml:space="preserve">que la <lb/>chorde EDF le tienne attaché, la force <lb/>qui eſt en F ayant meſme raiſon auccle <lb/>poids E que BC aà C B, ſouſtiendra le <lb/>poids en E, & </s> <s xml:id="echoid-s4539" xml:space="preserve">en luy aioutant la moin-<lb/>dre force du monde, il tombeta en B, & </s> <s xml:id="echoid-s4540" xml:space="preserve"><lb/>emportera le poids E en le faiſant mon-<lb/>ter vers D. </s> <s xml:id="echoid-s4541" xml:space="preserve">Mais F ne fera pas moins <lb/>de chemin en deſcendant perpendicu-<lb/>lairement, que le poids E en montant <lb/>obliquement, c’eſt pourquoy il eſt ne-<lb/>ceſſaire que F deſcende plus bas qu’il <lb/>ne fait monter le poids E, dont l’exau-<lb/>cement ſe meſure par la ligne per-<lb/>pendiculaire BC: </s> <s xml:id="echoid-s4542" xml:space="preserve">de maniere que la <lb/>ligne de la deſcente de F ſera é galé à <lb/>CA, quand il aura fait monter le poids <lb/>de B à C. </s> <s xml:id="echoid-s4543" xml:space="preserve">Carle poids ne reſiſte point <lb/>au mouuement parallele à l’orizon, <lb/>parce que ce mouuement ne l’éloigne <lb/>point du centre de la terre. </s> <s xml:id="echoid-s4544" xml:space="preserve">C’eſi pour-<lb/>quoy il importe grandement de con- <pb o="58" file="00337" n="336" rhead="Les Mechaniques"/> ſiderer les lignes par leſquelles ſe font <lb/> <anchor type="figure" xlink:label="fig-00337-01a" xlink:href="fig-00337-01"/> les mouuemens, & </s> <s xml:id="echoid-s4545" xml:space="preserve"><lb/>particulierement <lb/>lors qu’ils ſe font <lb/>par des forces ina-<lb/>nimées, dont les <lb/>momens, & </s> <s xml:id="echoid-s4546" xml:space="preserve">les reſi-<lb/>ſtances ſont en leur ſouuerain degró <lb/>dans la ligne perpĕdiculaire à l’orizon; <lb/></s> <s xml:id="echoid-s4547" xml:space="preserve">mais elles ſe diminüĕtà proportion que <lb/>la ligne ſe pãche ſur le plan horizontal.</s> <s xml:id="echoid-s4548" xml:space="preserve"/> </p> <div xml:id="echoid-div142" type="float" level="2" n="5"> <figure xlink:label="fig-00337-01" xlink:href="fig-00337-01a"> <image file="00337-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00337-01"/> </figure> </div> </div> <div xml:id="echoid-div144" type="section" level="1" n="119"> <head xml:id="echoid-head199" xml:space="preserve">III. ADDITION.</head> <p> <s xml:id="echoid-s4549" xml:space="preserve">Ily a pluſieurs choſes à remarquer <lb/>ſur ce ſubjet qui Peuuent ſeruir pour <lb/>eſtablir quelque parrie de la Phyſique, <lb/>dont i’en mets icy quelques vnes, affin <lb/>d’cxciter les bons eſprits qui ayment la <lb/>verité, à paſſer oûtre. </s> <s xml:id="echoid-s4550" xml:space="preserve">Premierement <lb/> <anchor type="figure" xlink:label="fig-00337-02a" xlink:href="fig-00337-02"/> c’eſt vne choſe tres-<lb/>remarquable que la <lb/>boule F D C E ſo <lb/>puiſſe mouuoir auec <lb/>la moindre force <lb/>imaginable ſur lc <lb/>plan horizontal AB, <lb/>dont la raiſon eſt qu’elle ne touche le <pb o="59" file="00338" n="337" rhead="de Galilée Florentin."/> plan qu’au point C, & </s> <s xml:id="echoid-s4551" xml:space="preserve">que ſes deux <lb/>moitiez CFE, & </s> <s xml:id="echoid-s4552" xml:space="preserve">CFD ſont en vn par-<lb/>fait équilibre, comme lon void au <lb/>leuier ED, dont le bras EG eſt égal au <lb/>bras GD, de ſorte que ſi l’on applique <lb/>la moindre force du mõde à D la boule <lb/>roullera vers A. </s> <s xml:id="echoid-s4553" xml:space="preserve">En ſecond lieu l’on <lb/>peut cõparer le mouuement des deux <lb/>boules CDF, & </s> <s xml:id="echoid-s4554" xml:space="preserve">CHG, qui eſt huict fois <lb/>moindre & </s> <s xml:id="echoid-s4555" xml:space="preserve">mois peſante que l’autre, <lb/>car ſon diametre CG eſt ſouz double <lb/>de CF, & </s> <s xml:id="echoid-s4556" xml:space="preserve">ie ſuppoſe qu’elles ſoient de <lb/>meſme matiere: </s> <s xml:id="echoid-s4557" xml:space="preserve">l’on peut doncrecher-<lb/>cher laquelle des deux ſe meut plus ay-<lb/>ſement ſur le plan AB; </s> <s xml:id="echoid-s4558" xml:space="preserve">car il y en a qui <lb/>croyent que la petite ſera 8. </s> <s xml:id="echoid-s4559" xml:space="preserve">fois plus <lb/>ayſée à mouuoir ſur ce plan, quoy que <lb/>parfaictemĕt dur & </s> <s xml:id="echoid-s4560" xml:space="preserve">poli, à raiſon qu’el-<lb/>le peſe 8. </s> <s xml:id="echoid-s4561" xml:space="preserve">fois moins, & </s> <s xml:id="echoid-s4562" xml:space="preserve">que toutes les <lb/>parties do chaque corps peſent ſur le <lb/>centre de leurs peſanteurs, & </s> <s xml:id="echoid-s4563" xml:space="preserve">conſe-<lb/>quemment que toute la peſanteur de <lb/>ces deux globes s’vnit au point C, & </s> <s xml:id="echoid-s4564" xml:space="preserve"><lb/>reſiſte tant qu’elle peut au mouuemĕt. <lb/></s> <s xml:id="echoid-s4565" xml:space="preserve">Mais puiſque toutes ſortes de globes <lb/>tant grands que petits ont la raiſon du <lb/>leuier ou de la balance comme i’ay ex-<lb/>pliqué cy-deuant, la moindre force ap- <pb o="60" file="00339" n="338" rhead="Les Mechaniques"/> pliquée aux points D, E, ou HI eſt ca-<lb/>pable de les oſter de leur equilibre.</s> <s xml:id="echoid-s4566" xml:space="preserve"/> </p> <div xml:id="echoid-div144" type="float" level="2" n="1"> <figure xlink:label="fig-00337-02" xlink:href="fig-00337-02a"> <image file="00337-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00337-02"/> </figure> </div> <p> <s xml:id="echoid-s4567" xml:space="preserve">En troiſieſme lieu ſi l’on ſuppoſe que <lb/>le plan horizontal ſoit rude, ſcabreux, & </s> <s xml:id="echoid-s4568" xml:space="preserve"><lb/>mal poli, il sĕble que le moindre globe <lb/>routera plus ayſement parce qu il fait <lb/>vn plus grand angle de contingonce, & </s> <s xml:id="echoid-s4569" xml:space="preserve"><lb/>s’éloigne d’auantage de la ligne droite <lb/>AB.</s> <s xml:id="echoid-s4570" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div146" type="section" level="1" n="120"> <head xml:id="echoid-head200" xml:space="preserve">IV ADDITION.</head> <p> <s xml:id="echoid-s4571" xml:space="preserve">Sur ce que Galilee dit que Pappus ſ’eſt <lb/>trompé, lors qu’ila voulu determiner la <lb/>force neceſſaire pour mouuoir vn poids <lb/>donné ſur vn plan propoſé, ou ſur vn <lb/>plan incliné, dont l’angle d’inclination <lb/>eſt cõnu l’on peut remarquer pluſieurs <lb/>choſes, mais particulierement qu’il la <lb/>ſuppoſe beaucoup trop grãde, car il dit <lb/>qu’il faut la force de 40. </s> <s xml:id="echoid-s4572" xml:space="preserve">hommes pour <lb/>mouuoir le poids de 200. </s> <s xml:id="echoid-s4573" xml:space="preserve">talents, dans <lb/>la 9. </s> <s xml:id="echoid-s4574" xml:space="preserve">propoſition de ſon 8. </s> <s xml:id="echoid-s4575" xml:space="preserve">liure, au lieu <lb/>que la moindre force eſt capable de le <lb/>mouuoir ſur ledit plan: </s> <s xml:id="echoid-s4576" xml:space="preserve">c’eſt pourquoy <lb/>il a conclud qu’il failloit 260. </s> <s xml:id="echoid-s4577" xml:space="preserve">hommes <lb/>pour le mouuoir ſur vn plan incliné de <lb/>120 degrez. </s> <s xml:id="echoid-s4578" xml:space="preserve">Mais l’on comprendra cecy <lb/>plus ayſement par cette figure, dans la- <pb o="61" file="00340" n="339" rhead="de Galilée Florentin."/> quelle RM repreſente le plan horizon-<lb/> <anchor type="figure" xlink:label="fig-00340-01a" xlink:href="fig-00340-01"/> tal, ſur lequel ie <lb/>ſuppoſe que le plan <lb/>PM eſt eleué de 30. <lb/></s> <s xml:id="echoid-s4579" xml:space="preserve">degrez, & </s> <s xml:id="echoid-s4580" xml:space="preserve">conſe-<lb/>quemment qu’il <lb/>fait 60. </s> <s xml:id="echoid-s4581" xml:space="preserve">degrez auec <lb/>le plan perpendi-<lb/>culaire BC. </s> <s xml:id="echoid-s4582" xml:space="preserve">Or il eſt certain que la <lb/>force qui retient le poids, ou le globe <lb/>BSA ſur le plan incliné eſt audit poids, <lb/>comme la perpendiculaire PR eſt à <lb/>l’hypotenuſe P M: </s> <s xml:id="echoid-s4583" xml:space="preserve">& </s> <s xml:id="echoid-s4584" xml:space="preserve">parce que cette <lb/>hypothenuſe eſt double de la perpĕdi-<lb/>culaire, vne force vn peu plus grãde que <lb/>ſouz double le leuera, de ſorte que ſi le <lb/>globe peſe 2. </s> <s xml:id="echoid-s4585" xml:space="preserve">liures le poids P, ouO peſát <lb/>vne liure, & </s> <s xml:id="echoid-s4586" xml:space="preserve">vn grain le pourra tirer. </s> <s xml:id="echoid-s4587" xml:space="preserve"><lb/>Il faut encore remarquer que la force <lb/>qui doit empeſcher que le poids ne <lb/>coule & </s> <s xml:id="echoid-s4588" xml:space="preserve">ne peſe point ſur le plan P M <lb/>doit eſtre au poids, comme la baſe R M <lb/>à l’hy potenuſe P M. </s> <s xml:id="echoid-s4589" xml:space="preserve">Or quand on veut <lb/>tirer le poids ſur le plan incliné, il faut <lb/>mettre vne poulic au haut du plan, <lb/>comme l’on void en D.</s> <s xml:id="echoid-s4590" xml:space="preserve"/> </p> <div xml:id="echoid-div146" type="float" level="2" n="1"> <figure xlink:label="fig-00340-01" xlink:href="fig-00340-01a"> <image file="00340-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00340-01"/> </figure> </div> <p> <s xml:id="echoid-s4591" xml:space="preserve">Où l’on doit conſiderer la force qui-<lb/>ſouſtient le poids dans la ligne perpen- <pb o="62" file="00341" n="340" rhead="Les Mechaniques"/> diculaire P R, pour trouuer celle qui le <lb/>ſouſtient ſur le plan incliné, & </s> <s xml:id="echoid-s4592" xml:space="preserve">parce <lb/>que le globe B S A peſe 2 liures dans <lb/>ladite ligne, il n’en peſera qu’vne ſur ce <lb/>plan incliné de 30 degrez. </s> <s xml:id="echoid-s4593" xml:space="preserve">Neantmoins <lb/>quelquesvns croyent que l’on peut <lb/>trouuer la force qui tire le poids ſur le <lb/>plan incliné par la connoiſſance de la <lb/>force qui le meut ſur le plan horizõtal; <lb/></s> <s xml:id="echoid-s4594" xml:space="preserve">ſurquoy l’on peut veoir Cabee au 20. </s> <s xml:id="echoid-s4595" xml:space="preserve"><lb/>Chapitre du 4. </s> <s xml:id="echoid-s4596" xml:space="preserve">liure de l’aymant.</s> <s xml:id="echoid-s4597" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div148" type="section" level="1" n="121"> <head xml:id="echoid-head201" xml:space="preserve">V. ADDITION.</head> <p> <s xml:id="echoid-s4598" xml:space="preserve">Cette ſpeculation des plans differens <lb/>eſt grandement vtile pour trouuer la <lb/>force requiſe pour mouuoir toutes ſor-<lb/>tes de fardeaux ſur les montagnes, & </s> <s xml:id="echoid-s4599" xml:space="preserve"><lb/>dans les valees, & </s> <s xml:id="echoid-s4600" xml:space="preserve">pour pluſieurs autres <lb/>choſes: </s> <s xml:id="echoid-s4601" xml:space="preserve">par exemple, ſi l’on vouloit <lb/>tirer vn fardeau ſur le plan F B, il fau-<lb/>droit vne force, qui euſt meſme pro-<lb/>portion au poids, que la perp @ndiculai-<lb/>re B E à l’hypotenuſe B F. </s> <s xml:id="echoid-s4602" xml:space="preserve">Mais ſi l’on <lb/>vouloit l’empeſcher de couler ou de <lb/>peſer ſur le plan B F, il faudroit vne <lb/>force qui euſt meſine proportion au <lb/>poids que F E à F B, ſuiuant ce qui a <pb o="63" file="00342" n="341" rhead="de Galilée Florentin."/> eſté dit dans l’addition precedente, & </s> <s xml:id="echoid-s4603" xml:space="preserve"><lb/>conſequemment il faudroit que cette <lb/>force fuſt ſouztriple du poids, puiſque <lb/>E F eſt ſouztriple de B F.</s> <s xml:id="echoid-s4604" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4605" xml:space="preserve">Quant à la proportion des mouue-<lb/> <anchor type="figure" xlink:label="fig-00342-01a" xlink:href="fig-00342-01"/> mens qui ſe <lb/>font ſur les <lb/>plans, nous en <lb/>parlerõs apres: <lb/></s> <s xml:id="echoid-s4606" xml:space="preserve">Ie remarque-<lb/>ray ſeule ment <lb/>icy que la for-<lb/>ce eſt tou-<lb/>ſiours à la pe-<lb/>ſanteur qu’il faut ſouſtenir ſur les plans <lb/>propoſez, cõme le coſté qui touche la <lb/>force eſt au coſté ſur lequel le poids eſt <lb/>appuyé, ſoit que le coſté de la force ſoit <lb/>per pendiculaire, ou incliné ſur l’hori-<lb/>zon: </s> <s xml:id="echoid-s4607" xml:space="preserve">par exemple, la force eſtant poſée <lb/>ſur le coſté D F eſt au poids D mis <lb/>fur H D, comme F D eſt à D H.</s> <s xml:id="echoid-s4608" xml:space="preserve"/> </p> <div xml:id="echoid-div148" type="float" level="2" n="1"> <figure xlink:label="fig-00342-01" xlink:href="fig-00342-01a"> <image file="00342-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00342-01"/> </figure> </div> <p> <s xml:id="echoid-s4609" xml:space="preserve">Et ſi l’on ſuppoſe que B E ſoit vne <lb/>muraille impenetrable, quiſoit polie, & </s> <s xml:id="echoid-s4610" xml:space="preserve"><lb/>qui ne cede nullement aux coups, la <lb/>bale qui la frapera au point D ſelon <lb/>l’inclination de l’angle C D I, qui eſt de <lb/>30. </s> <s xml:id="echoid-s4611" xml:space="preserve">degrez, ſereflechira en H parla li- <pb o="64" file="00343" n="342" rhead="Les Mechaniques"/> gne D H, dautant que l’angle de refle-<lb/>xion L D K eſt egal à celuy de l’inci-<lb/>dence. </s> <s xml:id="echoid-s4612" xml:space="preserve">Mais il eſt difficile de ſçauoir où <lb/>ſc reflechira la bale. </s> <s xml:id="echoid-s4613" xml:space="preserve">L’on peut encore <lb/>conſiderer de combien vn poids deſ-<lb/>cend plus viſte ſur vn plan incliné que <lb/>ſur l’autre: </s> <s xml:id="echoid-s4614" xml:space="preserve">par exemple, de combien <lb/>il deſcĕd plus viſte ſur B F, que ſur C F, <lb/>ou D F, & </s> <s xml:id="echoid-s4615" xml:space="preserve">s’il y a meſme raiſon de lavi-<lb/>ſteſſe qui s’exerce ſur B F, à celle de <lb/>D F, que de la ligne B F à D F: </s> <s xml:id="echoid-s4616" xml:space="preserve">mais il <lb/>faut reſeruer toutes ces conſiderations <lb/>pour la fin de ce traité. </s> <s xml:id="echoid-s4617" xml:space="preserve">Concluons ce-<lb/>pendant qu’il faut d’autant moins de <lb/>force pour leuer le poids donné, que le <lb/>chemin de la force eſt plus long que <lb/>celuy du poids, affin que l’vn recõpenſe <lb/>l’autre, & </s> <s xml:id="echoid-s4618" xml:space="preserve">que la nature ne perde rien <lb/>d’vn coſté qu’elle ne le gaigne de l’au-<lb/>tre. </s> <s xml:id="echoid-s4619" xml:space="preserve">Finalemĕt ſivn coup de canõ eſt tiré <lb/>du point H contre la muraille B E, il <lb/>aura ſa force entiere dans la perpendi-<lb/>culaire H E; </s> <s xml:id="echoid-s4620" xml:space="preserve">& </s> <s xml:id="echoid-s4621" xml:space="preserve">le boulet appuyera en-<lb/>rierement contre E. </s> <s xml:id="echoid-s4622" xml:space="preserve">Mais s’il frappe <lb/>obliquement en D par la ligne H D, <lb/>il ſera d’autant moins fort que D H eſt <lb/>plus long que H E.</s> <s xml:id="echoid-s4623" xml:space="preserve"/> </p> <pb o="65" file="00344" n="343" rhead="de Galilée Florentin."/> </div> <div xml:id="echoid-div150" type="section" level="1" n="122"> <head xml:id="echoid-head202" xml:space="preserve"><emph style="sc">Chap</emph>. X. <lb/>De la Viz d’ Archimede pour <lb/>ejieuer les eaux.</head> <p> <s xml:id="echoid-s4624" xml:space="preserve"><emph style="bf">I</emph>L faut icy adioûter la conſideration <lb/>de cette viz, parce que ſon effet eſt <lb/> <anchor type="figure" xlink:label="fig-00344-01a" xlink:href="fig-00344-01"/> d’autant plus <lb/>admirable <lb/>que la cauſe <lb/>ſemble plus <lb/>éloignée de <lb/>la raiſon, car <lb/>elle fait mon-<lb/>ter l’eau par-<lb/>ce qu’elle la <lb/>fait deſcen-<lb/>dre. </s> <s xml:id="echoid-s4625" xml:space="preserve">Son vſa-<lb/>ge paroiſt dãs <lb/>la figure qui <lb/>ſuit, dans la-<lb/>quelle Z Y <lb/>X V T S R & </s> <s xml:id="echoid-s4626" xml:space="preserve"><lb/>Q ſignifient <lb/>vn canal qui <lb/>entoure le <lb/>cylindre NP. <lb/></s> <s xml:id="echoid-s4627" xml:space="preserve">Orle bout du can al N doit eſtre dans <pb o="66" file="00345" n="344" rhead="Les Mechaniques"/> l’eau, & </s> <s xml:id="echoid-s4628" xml:space="preserve">le canal doit eſtre incliné; </s> <s xml:id="echoid-s4629" xml:space="preserve">& </s> <s xml:id="echoid-s4630" xml:space="preserve"><lb/>puis il faut tourner le cylindre autour <lb/>des points Q P, & </s> <s xml:id="echoid-s4631" xml:space="preserve">N O, iuſques à ce que <lb/>l’eau ſorte par Q, apres auoir monté <lb/>tout au long du canal, ou de l’helice <lb/>N O Y X & </s> <s xml:id="echoid-s4632" xml:space="preserve">c. </s> <s xml:id="echoid-s4633" xml:space="preserve">Dans la quelle l’eau mon-<lb/>te par ce qu’elle deſcend, comme ie fais <lb/>voir en cette maniere.</s> <s xml:id="echoid-s4634" xml:space="preserve"/> </p> <div xml:id="echoid-div150" type="float" level="2" n="1"> <figure xlink:label="fig-00344-01" xlink:href="fig-00344-01a"> <image file="00344-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00344-01"/> </figure> </div> <p> <s xml:id="echoid-s4635" xml:space="preserve">Soit le triãgle A K B, d’où la viz N P <lb/>prend ſon origine, lors que l’helice à <lb/>meſme inclination que K A, dont la <lb/>ſaillie, ou l’eleuation eſt determinée par <lb/>l’angle B A K; </s> <s xml:id="echoid-s4636" xml:space="preserve">& </s> <s xml:id="echoid-s4637" xml:space="preserve">ſi cet angle eſt du <lb/>tiers, ou du quart d’vn angle droit, l’e-<lb/>leuation de l’helice N Z, ou Z Y ſera <lb/>ſemblablemĕt le tiers, ou le quart d’vn <lb/>angle droit. </s> <s xml:id="echoid-s4638" xml:space="preserve">Cecy eſtant poſé, il eſt <lb/>euidãt que la ſaillie du canal A K ſera <lb/>abbaiſſée quand le point K viendra au <lb/>point B, & </s> <s xml:id="echoid-s4639" xml:space="preserve">qu’elle n’aura plus de pente <lb/>ou d’inclination, & </s> <s xml:id="echoid-s4640" xml:space="preserve">conſequemment ſi <lb/>on l’abaiſſe vn peu plus bas que B, l’eau <lb/>coulera, & </s> <s xml:id="echoid-s4641" xml:space="preserve">s’engorgera naturellement <lb/>dans le canal A K, ou XV, & </s> <s xml:id="echoid-s4642" xml:space="preserve">tombera <lb/>du point A au point K, qui ſe trouuera <lb/>plus bas que B ſouz l’orizon. </s> <s xml:id="echoid-s4643" xml:space="preserve">Or il faut <lb/>entourer le cylindre C A du triangle <lb/>A K B, affin de conſtruire 12 viz A C <pb o="67" file="00346" n="345" rhead="de Galilée Florentin."/> perpĕdiculaire ſur l’horizon E A: </s> <s xml:id="echoid-s4644" xml:space="preserve">& </s> <s xml:id="echoid-s4645" xml:space="preserve">puis <lb/>il la faut mettre dans l’eau, & </s> <s xml:id="echoid-s4646" xml:space="preserve">la tour-<lb/>ner, affin que l’eau monte pat le eanal <lb/>A E, qui n’eſt pas plus incliné que K A, <lb/>c’eſt à dire que le tiers d’vn angle droi-<lb/>te donc ſi l’on abbaiſſe le cylindre P N <lb/>du tiers d’vn angle droit, les helices <lb/>E F, F G & </s> <s xml:id="echoid-s4647" xml:space="preserve">c. </s> <s xml:id="echoid-s4648" xml:space="preserve">ſeront inclinées, comme <lb/>l’on void au cylindre panchant P N, & </s> <s xml:id="echoid-s4649" xml:space="preserve"><lb/>à ſes helices Z Y X V & </s> <s xml:id="echoid-s4650" xml:space="preserve">c. </s> <s xml:id="echoid-s4651" xml:space="preserve">par conſe-<lb/>quent l’eau deſcendra de N à Z, & </s> <s xml:id="echoid-s4652" xml:space="preserve">tou-<lb/>tes les autres helices receuront vne <lb/>meſme diſpoſition pour faire couler <lb/>l’eau iuſques au bout de la viz, de ſorte <lb/>que l’eau deſcendra touſiours en mon-<lb/>tant de N à P. </s> <s xml:id="echoid-s4653" xml:space="preserve">D’ou il faut conclure que <lb/>la viz doit auoir vne inclination vn peu <lb/>plus grande que le triangle ſur lequel <lb/>on la baſtie.</s> <s xml:id="echoid-s4654" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div152" type="section" level="1" n="123"> <head xml:id="echoid-head203" xml:space="preserve">VI ADDITION.</head> <p> <s xml:id="echoid-s4655" xml:space="preserve">Il y a pluſieurs choſes à remarquer <lb/>pour la pente, & </s> <s xml:id="echoid-s4656" xml:space="preserve">la deſeente, & </s> <s xml:id="echoid-s4657" xml:space="preserve">pour <lb/>l’exaltation des eaux, & </s> <s xml:id="echoid-s4658" xml:space="preserve">pour tout ce <lb/>qui appartient aux Siphons, & </s> <s xml:id="echoid-s4659" xml:space="preserve">aux <lb/>Pompes qui attirent l’eau, ou les autres <lb/>liqueurs par aſpiration, mais l’vne des <pb o="68" file="00347" n="346" rhead="Les Mechaniques"/> principales conſiſte à ſçauoir que l’eau <lb/>ne ſe meut point naturellement ſi elle <lb/>n’a de la pente, cõme l’on experimente <lb/>aux ruiſſeaux, aux riuieres, aux eſtangs <lb/>& </s> <s xml:id="echoid-s4660" xml:space="preserve">c. </s> <s xml:id="echoid-s4661" xml:space="preserve">ce qui fait reconnoiſtre que le <lb/>mouuemĕt de la mer ſuppoſe de la vio-<lb/>lence, car ſile reflus luy eſt naturel, le <lb/>flus doit eſtre violent. </s> <s xml:id="echoid-s4662" xml:space="preserve">Quant au Siphon <lb/>il peut ſeruir pour faire paſſer des fon-<lb/>taines depuis le pied d’vne montagne <lb/>ou d’vn rocher iuſques à l’autre coſté, <lb/>pour changer le vin, ou lesautres li-<lb/>queurs d’vn tonneau en vn autre, pour <lb/>vuider les marais, & </s> <s xml:id="echoid-s4663" xml:space="preserve">pour pluſieurs <lb/>autres commoditez dont nous parle-<lb/>rons ailleurs.</s> <s xml:id="echoid-s4664" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4665" xml:space="preserve">Quant à l’vſage de l’eau dans les me-<lb/>chaniques, il eſt tres grand, comme l’on <lb/>experimente aux moulins à eau, & </s> <s xml:id="echoid-s4666" xml:space="preserve">aux <lb/>differentes manieres dont on ſe ſert <lb/>pour ſçauoir la differĕce des peſanteurs <lb/>de toutes ſortes de corps plus peſans, ou <lb/>plus legers que l’eau, ſoit qu’on les com-<lb/>pare enſemble, ou auec la meſme eau: <lb/></s> <s xml:id="echoid-s4667" xml:space="preserve">mais tout cecy merite vn traicté entier <lb/>de l’Hydraulique, comme les vtilitez <lb/>de l’air & </s> <s xml:id="echoid-s4668" xml:space="preserve">du vent requierent vn diſ-<lb/>cours entier de la Pneumatique. </s> <s xml:id="echoid-s4669" xml:space="preserve">Mais <pb o="69" file="00348" n="347" rhead="de Galilée Florentin."/> par ce que Galilée n’en a rien dit dãs ce <lb/>liure, ie viĕs à la derniere cõſideration <lb/>qu’il a faite ſur la forcede la percuſſion.</s> <s xml:id="echoid-s4670" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div153" type="section" level="1" n="124"> <head xml:id="echoid-head204" xml:space="preserve"><emph style="sc">Chap</emph>. XI.</head> <p> <s xml:id="echoid-s4671" xml:space="preserve">Il eſt neceſſaire pour pluſieurs raiſons <lb/>derechercher la cauſe de la force de la <lb/>percuſſion, parce qu’elle contient plus <lb/>de merueilles que tous les autresin ſtru-<lb/>mens Mechaniques, car on experimen-<lb/>te qu’en frappãt ſur vn clou, ſur vn pieu, <lb/>ou pilotis, & </s> <s xml:id="echoid-s4672" xml:space="preserve">c. </s> <s xml:id="echoid-s4673" xml:space="preserve">ils entrĕt dans des corps <lb/>fort durs, & </s> <s xml:id="echoid-s4674" xml:space="preserve">qu’ils n’entrent nullement <lb/>ſi l’on ne frappe deſſus, encore que l’on <lb/>charge & </s> <s xml:id="echoid-s4675" xml:space="preserve">que l’on preſſe les marteaux <lb/>auec des fardeaux mille fois plus peſãs <lb/>qu’eux, car à peine feroit-on entrer vn <lb/>coin auſſi auant en le chargeant d’vne <lb/>maiſon entiere, comme on le fait entrer <lb/>à coup de marteau. </s> <s xml:id="echoid-s4676" xml:space="preserve">Ce qui eſt d’autant <lb/>plus digne d’eſtre conſideré que nul <lb/>n’en a donné la raiſon iuſques à preſent: <lb/></s> <s xml:id="echoid-s4677" xml:space="preserve">ce qui fait voir la difficulté de cette <lb/>ſpeculation: </s> <s xml:id="echoid-s4678" xml:space="preserve">carles penſées d’ Ariſtote <lb/>& </s> <s xml:id="echoid-s4679" xml:space="preserve">des autres qui ont voulu prendre <lb/>la raiſon de cet effet de la longueur de <lb/>la maniuelle ou du manche des mar-<lb/>teaux ſont trop foibles, & </s> <s xml:id="echoid-s4680" xml:space="preserve">mal fondéas, <pb o="70" file="00349" n="348" rhead="Les Mechaniques"/> attendu que les poids qui tombent, & </s> <s xml:id="echoid-s4681" xml:space="preserve"><lb/>qui font de ſi grands effets, nont point <lb/>de manches. </s> <s xml:id="echoid-s4682" xml:space="preserve">Il raut diré la meſme <lb/>choſe des poids que l’on pouſſe ou que <lb/>l’on iette de trauers. </s> <s xml:id="echoid-s4683" xml:space="preserve">C’eſt pourquoy <lb/>il faut auoir recours à vn autre principe <lb/>pour trouuer la verité de cét effet, le-<lb/>quol ie taſcheray à expliquer & </s> <s xml:id="echoid-s4684" xml:space="preserve">à le <lb/>rendre ſenſible. </s> <s xml:id="echoid-s4685" xml:space="preserve">Ie di dõc que cet effect <lb/>vient de la meſme ſource que les autres <lb/>effets Mechaniques, à ſçauoir que la <lb/>force, la reſiſtance, & </s> <s xml:id="echoid-s4686" xml:space="preserve">l’eſpace par leſ-<lb/>quels ſe fõt les mouuemĕs ont vnetelle <lb/>correſpondance & </s> <s xml:id="echoid-s4687" xml:space="preserve">proportion entr’eux <lb/>que la force reſpõd ſeulement à vne re-<lb/>ſiſtance qui luy eſt égale. </s> <s xml:id="echoid-s4688" xml:space="preserve">& </s> <s xml:id="echoid-s4689" xml:space="preserve">qu’elle la <lb/>meut ſeulement par vn eſpace égal, ou <lb/>d’vne égale viſteſſe, dont elle ſe meut <lb/>elle meſme. </s> <s xml:id="echoid-s4690" xml:space="preserve">Semblablement quand la <lb/>force eſt moindre de moitié que la re-<lb/>ſiſtence, elle la peut mouuoir, ſi elle <lb/>meſme ſe meut d’vne double impetuo-<lb/>ſité, & </s> <s xml:id="echoid-s4691" xml:space="preserve">ſi elle fait deux fois autant de <lb/>chemin. </s> <s xml:id="echoid-s4692" xml:space="preserve">Ce qui ſe remarque en toutes <lb/>ſortes d’inſtrumens, par le moyen deſ-<lb/>quels l’on peut mouuoir & </s> <s xml:id="echoid-s4693" xml:space="preserve">ſurmonter <lb/>route ſorte de reſiſtence pour grande <lb/>quelle puiſſe eſtre aucc vne force ſi pe- <pb o="71" file="00350" n="349" rhead="de Galilée Florentin."/> tite que l’on voudra, pourueu que l’eſ-<lb/>pace que fait la force ayt meſme pro-<lb/>portion auec l’eſpace de la reſiſtance, <lb/>que la grande reſiſtance à la petite for-<lb/>ce; </s> <s xml:id="echoid-s4694" xml:space="preserve">ce qui ſuit entierement la conſtitu-<lb/>tion & </s> <s xml:id="echoid-s4695" xml:space="preserve">les regles de la nature.</s> <s xml:id="echoid-s4696" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4697" xml:space="preserve">Ce n’eſt dõc pas merueille ſi en argu-<lb/>mentant au contraire, la force qui meut <lb/>vne petite reſiſtance par vn grand in-<lb/>terualle, en pouſſe vne cent fois plus <lb/>grande par vn interualle cent fois <lb/>mbindre, puis qu’il ne peut arriuer au-<lb/>trement. </s> <s xml:id="echoid-s4698" xml:space="preserve">Cecy eſtant poſ’e, il faut con-<lb/>ſiderer qu’elle doit eſtre la reſiſtence <lb/>pour eſtre meüe par le marteau, qui la <lb/>doit frapper & </s> <s xml:id="echoid-s4699" xml:space="preserve">pouſſer; </s> <s xml:id="echoid-s4700" xml:space="preserve">& </s> <s xml:id="echoid-s4701" xml:space="preserve">pource ſub-<lb/>ject il faut remarquer combien la force <lb/>qui a eſté imprimee au marteau le por-<lb/>ter a loing, ſi l’on ſuppoſe qu’il ne frap-<lb/>pe point, cõme il arriueroit ſi le marteau <lb/>ſortoit de la main auec la meſme impe-<lb/>tuoſité dõt il doit frapper vne enclume, <lb/>vn coin, ou quelqu’autre choſe, & </s> <s xml:id="echoid-s4702" xml:space="preserve">qu’il <lb/>ne rencõtraſt nul empeſchemĕt en ſon <lb/>chemin. </s> <s xml:id="echoid-s4703" xml:space="preserve">Et puis il faut cõſiderer quelle <lb/>reſiſtance fait le corps qui eſt frappé, & </s> <s xml:id="echoid-s4704" xml:space="preserve"><lb/>cõbien il eſt pouſſé parvne telle percuſ-<lb/>ſiõ, & </s> <s xml:id="echoid-s4705" xml:space="preserve">a yãt remarqué de cõbiĕ il ſe meut <pb o="72" file="00351" n="350" rhead="Les Mechaniques"/> à chaque coup, & </s> <s xml:id="echoid-s4706" xml:space="preserve">que le coin entre <lb/>d’autant moins auant que le marteau <lb/>pouſſé de la meſme impetuoſité iroit <lb/>moins loing l’õ trouuera que ledit coin <lb/>entrera d’autant moins auant dans vne <lb/>bûche, ou dans vn autre corps à cha-<lb/>que coup, que la reſiſtance ſera plus <lb/>grande que la force du marteau: </s> <s xml:id="echoid-s4707" xml:space="preserve">de ſor-<lb/>te qu’il ne faut plus admirer les effects <lb/>de la percuſſion, puis qu’ils ne ſortĕt pas <lb/>hors des bornes de la nature.</s> <s xml:id="echoid-s4708" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4709" xml:space="preserve">A quoy i’aioûte vn exemple pourvne <lb/>plus grande intelligence, en ſuppoſant <lb/>que le marteau qui a 4. </s> <s xml:id="echoid-s4710" xml:space="preserve">degrez de reſi-<lb/>ſtance ſoit pouſſé d’vne telle force que <lb/>ne treunant nulle reſiſtãce qui l’arreſte, <lb/>il aille iuſques à dix pas, & </s> <s xml:id="echoid-s4711" xml:space="preserve">qu’à ce <lb/>terme on luy oppoſe vne poutre qui <lb/>ayt 4000. </s> <s xml:id="echoid-s4712" xml:space="preserve">degrez de reſiſtãce & </s> <s xml:id="echoid-s4713" xml:space="preserve">qui ſoit <lb/>mille fois plus grande que la force du <lb/>marteau, de ſorte qu’elle ſurpaſſe ſans <lb/>proportion ladite force, ſi elle eſt frap-<lb/>pée, elle ira ſeulement en auant la <lb/>millieſme partie de dix pas, par leſquels <lb/>Pon auroit pouſſé le marteau.</s> <s xml:id="echoid-s4714" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4715" xml:space="preserve">D’où l’on peut conclurre que la force <lb/>de la percuſſion ſuit les loix des autres <lb/>inſtrumens mechaniques, & </s> <s xml:id="echoid-s4716" xml:space="preserve">qu’il eſt <pb o="73" file="00352" n="351" rhead="de Galilée Florentin."/> auſſi ayſé de la determiner que les au-<lb/>tres forces.</s> <s xml:id="echoid-s4717" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div154" type="section" level="1" n="125"> <head xml:id="echoid-head205" xml:space="preserve"><emph style="bf">ADDITION VII.</emph></head> <p> <s xml:id="echoid-s4718" xml:space="preserve">Galilée promettoit pluſieurs probleſ-<lb/>mes à la fin de ſes mechaniques, mais <lb/>puiſque nous ne les auõs point veus, il <lb/>faut ſeulement icy aioûter quelques <lb/>conſiderations touchãt les mouuemĕs; <lb/></s> <s xml:id="echoid-s4719" xml:space="preserve">en attendant que nous en donnions <lb/>pluſieurs obſeruatiõs tres-exactes. </s> <s xml:id="echoid-s4720" xml:space="preserve">Soit <lb/>done le plan B G incliné de 30. </s> <s xml:id="echoid-s4721" xml:space="preserve">degrez <lb/>ſur le plan horizontal BF: </s> <s xml:id="echoid-s4722" xml:space="preserve">il eſt premie-<lb/>rement certain que le poids peſe d’au-<lb/>tant m@ins ſur B G que dans la ligne <lb/>perpendiculaire G X, que B G eſt plus <lb/>grand que G X, c’eſt à dire deux fois <lb/> <anchor type="figure" xlink:label="fig-00352-01a" xlink:href="fig-00352-01"/> moins, dautãt que GX, <lb/>eſt ſouz double de B G, <lb/>par la conſtruction.</s> <s xml:id="echoid-s4723" xml:space="preserve"/> </p> <div xml:id="echoid-div154" type="float" level="2" n="1"> <figure xlink:label="fig-00352-01" xlink:href="fig-00352-01a"> <image file="00352-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00352-01"/> </figure> </div> <p> <s xml:id="echoid-s4724" xml:space="preserve">Secondement il eſt cer-<lb/>tain que la boule miſe au <lb/>point G & </s> <s xml:id="echoid-s4725" xml:space="preserve">roulante ſur <lb/>G B deſcend plus lente-<lb/>ment que par la ligne G <lb/>X. </s> <s xml:id="echoid-s4726" xml:space="preserve">Mais il eſt difficile de <lb/>ſçauoir combien elle deſcend plus viſte <pb o="74" file="00353" n="352" rhead="Les Mechaniques"/> par GX. </s> <s xml:id="echoid-s4727" xml:space="preserve">Galilée croit dans vn autre <lb/>diſcours qu’en meſme tĕps que la boule <lb/>deſcend de G en H elle deſcendroit <lb/>de Gen E, & </s> <s xml:id="echoid-s4728" xml:space="preserve">qu’au meſme temps qu’el-<lb/>le deſcend de G en B, elle deſcen-<lb/>droit de G en D. </s> <s xml:id="echoid-s4729" xml:space="preserve">Car le point de la li-<lb/>gne perpendiculaire, auquel ſe rencon <lb/>treroit le poids tombant, ſe determine <lb/>par les perpendiculaires deſcrites ſur lo <lb/>plan incliné, commel’on void icy aux <lb/>perpendiculaires H E & </s> <s xml:id="echoid-s4730" xml:space="preserve">B D tirées des <lb/>deux points H, B, auſquels on ſuppoſe <lb/>que la boule eſt arriuée en roûlant: </s> <s xml:id="echoid-s4731" xml:space="preserve">ce <lb/>qu’il faut auſſi, ce ſemble, conclutre des <lb/>autres corps qui gliſſent ſeulement.</s> <s xml:id="echoid-s4732" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4733" xml:space="preserve">En troiſieſme lieu, l’on peut conſiderer <lb/>ſi les poids qui ſe meuuent ſur le plan <lb/>incliné gardent la meſme proportion <lb/>en leur viſteſſe que ceux qui ſe meuuĕt <lb/>perpendiculairement vers le centre de <lb/>la terre, c’eſt à dire s’ils haſſĕt leur cour-<lb/>ſe en raiſon doublée des tĕps par exem-<lb/>ples ſi G ayant deſcĕdu iuſque, au quart <lb/>de ſon plan dans le premier temps, <lb/>deſcend les trois autres quarts dans le <lb/>ſecond temps. </s> <s xml:id="echoid-s4734" xml:space="preserve">En quatrieſme lieu, la <lb/>ſpeculation de Galilée eſt excellente, ſi <lb/>elle eſt veritable, à ſçauoir qu’vne bou- <pb o="75" file="00354" n="353" rhead="de Galilée Florentin."/> le deſcend en meſme temps ſur tous les <lb/>plans qui ſont dans le meſme demi cer-<lb/>cle, ce que l’on comprendra par cette <lb/>ſigure dans laquelle A B eſt le diametre, <lb/>qui reprelente la cheute perpendicu-<lb/> <anchor type="figure" xlink:label="fig-00354-01a" xlink:href="fig-00354-01"/> laire. </s> <s xml:id="echoid-s4735" xml:space="preserve">E B, D B, <lb/>& </s> <s xml:id="echoid-s4736" xml:space="preserve">C B, ou F B, <lb/>G B, & </s> <s xml:id="echoid-s4737" xml:space="preserve">H B mõ-<lb/>ſtrĕrles cheutes <lb/>obliques, qui ſe <lb/>font toutes en <lb/>meſme temps <lb/>depuis le haut <lb/>iuſques au bas <lb/>de chaque plan, de ſorte que la boule <lb/>va auſſi toſt de G à B que d’E à B. </s> <s xml:id="echoid-s4738" xml:space="preserve">Par <lb/>ou l’on void que le mouuement de la <lb/>boule eſt d’autant plus lent que le plan <lb/>obligue s’approche dauãtage de l’hori-<lb/>zontal I K, ſur lequel il n’a plus de mou-<lb/>uement par ce qu’il ne peur plus s’ap-<lb/>procher du centre de la terre. </s> <s xml:id="echoid-s4739" xml:space="preserve">Cette <lb/>figure contient encore d’autres lignes, à <lb/>ſçauoir A F, F G, G H, A G, & </s> <s xml:id="echoid-s4740" xml:space="preserve">A H, ſur <lb/>ſur leſquelles on peut encore conſide-<lb/>rer les mouuemens d’vne boule, affin <lb/>de les comparer auec ceux qui ſe font <lb/>ſur les plans F G, G H, &</s> <s xml:id="echoid-s4741" xml:space="preserve">c.</s> <s xml:id="echoid-s4742" xml:space="preserve"/> </p> <div xml:id="echoid-div155" type="float" level="2" n="2"> <figure xlink:label="fig-00354-01" xlink:href="fig-00354-01a"> <image file="00354-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00354-01"/> </figure> </div> <pb o="76" file="00355" n="354" rhead="Les Mechaniques"/> <p> <s xml:id="echoid-s4743" xml:space="preserve">En cinquieſme lieu, il faudr@ it conſi-<lb/>derer quelle eſt la viteſſe des mouue-<lb/>mens qui ſe font ſur les plans B E, C E, <lb/> <anchor type="figure" xlink:label="fig-00355-01a" xlink:href="fig-00355-01"/> & </s> <s xml:id="echoid-s4744" xml:space="preserve">D <lb/>E, qui <lb/>ſont <lb/>dans <lb/>le <lb/>quart <lb/>du <lb/>cer-<lb/>cle B <lb/>C E, & </s> <s xml:id="echoid-s4745" xml:space="preserve">quelle proportion elle a auec la <lb/>viteſſe du mouuement d’Aen E, dont la <lb/>partie A H ſe faiſant dans vn tĕps don-<lb/>né, tout le reſte depuis H iuſques à E ſe <lb/>fait dans vn autre temps egal. </s> <s xml:id="echoid-s4746" xml:space="preserve">Où il faut <lb/>encore remarquer que ſi l’on pend le <lb/>poids E à la chorde A E, & </s> <s xml:id="echoid-s4747" xml:space="preserve">qu’on tire le <lb/>poids iuſques à B, que B deſcĕdra quaſi <lb/>en meſme te mps de B à E par le quart <lb/>du cercle B C E qu’il deſcendra de C, <lb/>ou de D au meſme E. </s> <s xml:id="echoid-s4748" xml:space="preserve">Or les lignes Bk, <lb/>K L, & </s> <s xml:id="echoid-s4749" xml:space="preserve">L M font veoir combien les <lb/>poids deſcendĕt ſurles plans C E & </s> <s xml:id="echoid-s4750" xml:space="preserve">D E, <lb/>& </s> <s xml:id="echoid-s4751" xml:space="preserve">conſequemment de combien il ſont <lb/>retardez, & </s> <s xml:id="echoid-s4752" xml:space="preserve">empeſchez par chaque plan <lb/>ineliné: </s> <s xml:id="echoid-s4753" xml:space="preserve">par exĕple, le poids B roulant <pb o="77" file="00356" n="355" rhead="de Galilée Florentin."/> de B à C ſur le plan BC deſcend autant <lb/>que quand il roulle de C en E, car la li-<lb/>gne B K eſt égale à K M; </s> <s xml:id="echoid-s4754" xml:space="preserve">& </s> <s xml:id="echoid-s4755" xml:space="preserve">le poids <lb/>roullant de C à D deſcend plus de deux <lb/>fois dauantage que celuy qui va de D à <lb/>E. </s> <s xml:id="echoid-s4756" xml:space="preserve">car L K eſt plus que double de L M.</s> <s xml:id="echoid-s4757" xml:space="preserve"/> </p> <div xml:id="echoid-div156" type="float" level="2" n="3"> <figure xlink:label="fig-00355-01" xlink:href="fig-00355-01a"> <image file="00355-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00355-01"/> </figure> </div> <p> <s xml:id="echoid-s4758" xml:space="preserve">D’où il eſt ayſé de cõclure que le poids <lb/>B qui deſcend par le quart de cercle <lb/>B C E iroit d’autãt plus lentement qu’il <lb/>approche dauantage du point E, s’il n’a-<lb/>querroit nulle impetuoſité.</s> <s xml:id="echoid-s4759" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4760" xml:space="preserve">En ſixieſme lieu, la chorde A B con-<lb/>duira le poids B iuſques au diamettre <lb/>A E dans vn temps donné, ſi elle eſt en <lb/>raiſon doublee dudit temps, lors qu’elle <lb/>doit ſe mouuoir dans vn plus grand <lb/>temps; </s> <s xml:id="echoid-s4761" xml:space="preserve">ou en raiſon ſouzdoublée, ſi el-<lb/>le ſe doit mouuoir dans vn moindre <lb/>temps: </s> <s xml:id="echoid-s4762" xml:space="preserve">par exemple, ſi la chorde A B <lb/>porte B dans 4. </s> <s xml:id="echoid-s4763" xml:space="preserve">moments iuſques à E, <lb/>la chorde ſouzquadruple A I portera’I <lb/>iuſques à H dans vn moment.</s> <s xml:id="echoid-s4764" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4765" xml:space="preserve">En ſeptieſme liou, le poids qui deſcĕd <lb/>de B en M, ou d’A en Eva non ſeulemĕt <lb/>plus lentement en commencant ſon <lb/>mouuement, mai, <gap/>ſſi il paſſe par tous <lb/>les degrez poſſiblesde tardiueté, de ſor-<lb/>te ques s’il n’augmentoit point la viſteſſe <pb o="78" file="00357" n="356" rhead="Les Mechaniques"/> qu’il a vers le milieu de la premiere ſep-<lb/>tieſme minute, il ſeroit deux ans & </s> <s xml:id="echoid-s4766" xml:space="preserve"><lb/>20 iours à deſcendre l’eſpace d’vn <lb/>pied de Roy, comme ie demonſtreray <lb/>dans vn traité particulier.</s> <s xml:id="echoid-s4767" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div158" type="section" level="1" n="126"> <head xml:id="echoid-head206" xml:space="preserve"><emph style="bf">ADDITION VIII.</emph></head> <p> <s xml:id="echoid-s4768" xml:space="preserve">Il eſt certain que les poids qui deſ-<lb/>cendent vers le centre augmentent <lb/>touſiours leur impetuoſité, & </s> <s xml:id="echoid-s4769" xml:space="preserve">que ſi on <lb/>laiſſe cheoir vne boule ſur le plan C A, <lb/>elle aura autant d’impetuoſité lors <lb/>qu’elle ſera arriuée au point A, comme <lb/>quand elle ſera tombée en B du point <lb/>C parce qu’elle ſera auſſi proche du <lb/>centre en A qu’en B: </s> <s xml:id="echoid-s4770" xml:space="preserve">& </s> <s xml:id="echoid-s4771" xml:space="preserve">cette impetuo-<lb/>ſité ſera aſſez gran de pour faire remon-<lb/> <anchor type="figure" xlink:label="fig-00357-01a" xlink:href="fig-00357-01"/> ter le meſme <lb/>poids iuſques à <lb/>C ſoit par la li-<lb/>gne oblique <lb/>A C, ou par la <lb/>perpendiculai-<lb/>re B C, pour-<lb/>ueu qu’il n’y ayt nul empeſchement ex-<lb/>terieur. </s> <s xml:id="echoid-s4772" xml:space="preserve">Mais tandis que le poids tom-<lb/>bo de C en T, il tombe de C en B, & </s> <s xml:id="echoid-s4773" xml:space="preserve">par <pb o="79" file="00358" n="357" rhead="de Galilée Florentin."/> conſequemment il acquier beaucoup <lb/>plus d’impetuoſité en meſme temps <lb/>par le plan horizontal que par l’in-<lb/>cliné. </s> <s xml:id="echoid-s4774" xml:space="preserve">Semblablement tandis que le <lb/>poids tombe par le plan A D de D en I, <lb/>il tombe de D en B, car la ligne I B eſt <lb/>perpendiculaire ſur la ligne A D; </s> <s xml:id="echoid-s4775" xml:space="preserve">& </s> <s xml:id="echoid-s4776" xml:space="preserve">ſi le <lb/>poids tombe iuſques en A, il ſera tombé <lb/>par la perpendiculaire D B prolongée <lb/>iuſques au poinct, auque lelle ſera cou-<lb/>pée par la ligne tirée du point A paral-<lb/>lele à I B, laquelle ſera perpendiculaire <lb/>au plan I A. </s> <s xml:id="echoid-s4777" xml:space="preserve">Or il y a grande apparence <lb/>que le temps auquel le poids tombe <lb/>de C en B eſt au temps auquel il tombe <lb/>de C en A, comme la ligne C B eſt à la <lb/>ligne C A. </s> <s xml:id="echoid-s4778" xml:space="preserve">Ce que l’on peut exami-<lb/>ner en cette maniere. </s> <s xml:id="echoid-s4779" xml:space="preserve">Suppoſons donc <lb/>que le temps de la cheute d’A en B ſur <lb/>leplan A B ſoit égal au temps de la <lb/>cheute qui ſe fait d’A en D: </s> <s xml:id="echoid-s4780" xml:space="preserve">& </s> <s xml:id="echoid-s4781" xml:space="preserve"><lb/> <anchor type="figure" xlink:label="fig-00358-01a" xlink:href="fig-00358-01"/> pour ce ſubiect qu’au tri-<lb/>angle rectangle A B D le <lb/>coſté D ſoit de 4. </s> <s xml:id="echoid-s4782" xml:space="preserve">parties, & </s> <s xml:id="echoid-s4783" xml:space="preserve"><lb/>le coſté B A de deux, ſi A <lb/>D eſt 1000. </s> <s xml:id="echoid-s4784" xml:space="preserve">A B ſera 500, <lb/>& </s> <s xml:id="echoid-s4785" xml:space="preserve">partant l’angle B D A <lb/>ſera de 30 degrez, car D A eſtãt, le rayon <pb o="80" file="00359" n="358" rhead="Les Mechaniques"/> A B ſera le Sinus de 30 degrez, & </s> <s xml:id="echoid-s4786" xml:space="preserve">l’an-<lb/>gle B D A ſera de 60. </s> <s xml:id="echoid-s4787" xml:space="preserve">degrez, & </s> <s xml:id="echoid-s4788" xml:space="preserve">conſe-<lb/>quemment le coſté B D ſera 866, c’eſt <lb/>à dire le Sinus de 60. </s> <s xml:id="echoid-s4789" xml:space="preserve">Au triangle A B C <lb/>rectangle, en C l’angle B C A eſt connu <lb/>de 60 degrez, donc l’angle A B C eſt de <lb/>30. </s> <s xml:id="echoid-s4790" xml:space="preserve">degrez, dont le ſinus A C eſt 250, à <lb/>ſçauoir la moitié du rayon B A, & </s> <s xml:id="echoid-s4791" xml:space="preserve">B C <lb/>ſinus de B A C 60. </s> <s xml:id="echoid-s4792" xml:space="preserve">eſt 433. </s> <s xml:id="echoid-s4793" xml:space="preserve">de telles parties <lb/>dont A D eſt 1000: </s> <s xml:id="echoid-s4794" xml:space="preserve">donc ſi A C eſt 250. <lb/></s> <s xml:id="echoid-s4795" xml:space="preserve">A B ſera 500. </s> <s xml:id="echoid-s4796" xml:space="preserve">& </s> <s xml:id="echoid-s4797" xml:space="preserve">A D 1000, de ſorte qu’A <lb/>B eſt moyenne proportionnelle en-<lb/>tre D A, & </s> <s xml:id="echoid-s4798" xml:space="preserve">C A; </s> <s xml:id="echoid-s4799" xml:space="preserve">donc A D eſt quadru-<lb/>ple de C A, & </s> <s xml:id="echoid-s4800" xml:space="preserve">conſequemment A B eſt <lb/>double de C A. </s> <s xml:id="echoid-s4801" xml:space="preserve">De plus ſi l’on ſup-<lb/>poſe qu’A C ſoit de 3. </s> <s xml:id="echoid-s4802" xml:space="preserve">pieds, le poids <lb/>tombe de cet eſpace dans vne ſeconde, <lb/>& </s> <s xml:id="echoid-s4803" xml:space="preserve">A D eſtant quadruple d’A C, le poids <lb/>tombera par A D en deux ſecondes, & </s> <s xml:id="echoid-s4804" xml:space="preserve"><lb/>parce que nous auõs ſuppoſé qu’il chet <lb/>par la ligne A B en meſme temps que <lb/>par la perpendiculaire A D, il fera auſſi <lb/>l’eſpace A B en 2. </s> <s xml:id="echoid-s4805" xml:space="preserve">ſecondes. </s> <s xml:id="echoid-s4806" xml:space="preserve">De ſorte <lb/>qu’il y aura meſme raiſon du temps de <lb/>la cheute A C à celuy de la cheute de 3 <lb/>pieds A B que de la ligne B A à la ligne <lb/>C A, qui a ſix pieds.</s> <s xml:id="echoid-s4807" xml:space="preserve"/> </p> <div xml:id="echoid-div158" type="float" level="2" n="1"> <figure xlink:label="fig-00357-01" xlink:href="fig-00357-01a"> <image file="00357-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00357-01"/> </figure> <figure xlink:label="fig-00358-01" xlink:href="fig-00358-01a"> <image file="00358-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00358-01"/> </figure> </div> <p> <s xml:id="echoid-s4808" xml:space="preserve">Il faut encore remarquer que comme <pb o="81" file="00360" n="359" rhead="de Galilée Florentin."/> A C eſt ſouz quadruple de D A, que <lb/>C E eſt auſſi ſouzquadruple de B D, & </s> <s xml:id="echoid-s4809" xml:space="preserve"><lb/>A E de B A, & </s> <s xml:id="echoid-s4810" xml:space="preserve">que de meſme que C D <lb/>eſt triple de C A, que B E eſt triple d’E <lb/>A, & </s> <s xml:id="echoid-s4811" xml:space="preserve">que comme la racine de C A eſt à <lb/>la racine de D A, que le temps de la <lb/>cheute C A eſt à celuy de la cheute <lb/>D A. </s> <s xml:id="echoid-s4812" xml:space="preserve">Et parce que le poids qui tombe <lb/>d’Aen B eſt deux fois autant de temps <lb/>que celuy qui tombe d’A en C, l’on <lb/>peut dire qu’il va auſſi viſte par A B que <lb/>par A C, puis qu’il faitvn chemin dou-<lb/>ble dans vn temps double.</s> <s xml:id="echoid-s4813" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4814" xml:space="preserve">D’où ie conclus que le plan peut telle-<lb/>ment eſtre incliné ſur l’horizon B C, <lb/>que la boule miſe deſſus ſera plus <lb/>d’vn an à rouler iuſques à B, & </s> <s xml:id="echoid-s4815" xml:space="preserve">qu’vn <lb/>temps infini ne ſuffiroit pas pour ſon <lb/>roulement ſur le plan horizontal de C <lb/>en B, parce que ſa tardiueté deuient in-<lb/>finie quand le plan incliné eſt reduit au <lb/>plan horizontal, ſur lequei la boule ne <lb/>ſe peut mouuoir que circulairement, <lb/>ſuppoſé que la terre ſoit parfaitement <lb/>ronde, ce qui n’arriue point ſi le mou-<lb/>uement droit ne precede, & </s> <s xml:id="echoid-s4816" xml:space="preserve">n’en eſt <lb/>cauſe: </s> <s xml:id="echoid-s4817" xml:space="preserve">mais le poids n’aquierra point de <lb/>plus grande viſteſſe ſur le plan horizon- <pb o="82" file="00361" n="360" rhead="Les Mechaniques"/> tal, ſur lequel il ira touſiours vniforme-<lb/>mĕt s’il ne trouue nulle empeſchemĕt, <lb/>d’autant qu’il eſt touſiours également <lb/>éloigné de ſon centre.</s> <s xml:id="echoid-s4818" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div160" type="section" level="1" n="127"> <head xml:id="echoid-head207" xml:space="preserve"><emph style="bf">ADDITION. IX.</emph></head> <p> <s xml:id="echoid-s4819" xml:space="preserve">Galilée n’a point traité des inſtrumĕs <lb/>qui ſe ſeruent de roües dentelees, com-<lb/> <anchor type="figure" xlink:label="fig-00361-01a" xlink:href="fig-00361-01"/> me ſõt celles cy B & </s> <s xml:id="echoid-s4820" xml:space="preserve">A, qui tournent par <lb/>le moyen de la maniuelle E, à laquelle <lb/>la moindre roüe A, que l’on appelle or-<lb/>dinairement le Pignon, eſt attachée, <lb/>affin d’accommoder ſes dents à celles <lb/>de la grande roüe B, qui tourne ſur ſon <lb/>eſſieu C, à @entour duquel l’on met la <lb/>chorde qui tient le poids D. </s> <s xml:id="echoid-s4821" xml:space="preserve">Or on <pb o="83" file="00362" n="361" rhead="de Galilée Florentin."/> multiplie ces roües tant que l’on veut <lb/>iuſques à l’infini: </s> <s xml:id="echoid-s4822" xml:space="preserve">mais plus il y en a dãs <lb/>vn inſtrument & </s> <s xml:id="echoid-s4823" xml:space="preserve">plus on eſt long temps <lb/> <anchor type="figure" xlink:label="fig-00362-01a" xlink:href="fig-00362-01"/> à leuer <lb/>le poids <lb/>attaché <lb/>à celle <lb/>qui <lb/>tourne <lb/>le plus <lb/>lente-<lb/>ment, <lb/>cõme <lb/>l’õ expe <lb/>rimĕte <lb/>aux hor <lb/>loges à <lb/>roües, <lb/>& </s> <s xml:id="echoid-s4824" xml:space="preserve">à reſ-<lb/>ſors. </s> <s xml:id="echoid-s4825" xml:space="preserve">Ie <lb/>mets <lb/>ſeule-<lb/>ment <lb/>icy la fi-<lb/>gure de <lb/>l’in ſtru-<lb/>ment <lb/>que l’on appelle Cry, qui ſert pour <pb o="84" file="00363" n="362" rhead="Les Mechaniques"/> releuer les caroſſes, & </s> <s xml:id="echoid-s4826" xml:space="preserve">les charrettesqui <lb/>ſont verſées. </s> <s xml:id="echoid-s4827" xml:space="preserve">La moindre figure I G H <lb/>faitvoir ſa forme exterieure, & </s> <s xml:id="echoid-s4828" xml:space="preserve">les crãs, <lb/>ou les dents H, qui ont la fourchette G <lb/>en haut pour leuer les fardeaux. </s> <s xml:id="echoid-s4829" xml:space="preserve">C B <lb/>fait veoir la maniuelle & </s> <s xml:id="echoid-s4830" xml:space="preserve">le Pignon B <lb/>qui fait tourner la grande reüe A B, la-<lb/>quelle fait hauſſer le cry F E par le <lb/>moyen du pignon à trois dents D qui, <lb/>ſ’aiuſte dans les dents de F E. </s> <s xml:id="echoid-s4831" xml:space="preserve">Si l’on <lb/>multiplie les roües de cry on le rendraſi <lb/>fort qu’il pourra leuer vne maiſõ toute <lb/>entiere, mais ſon effet ſera plustardif en <lb/> <anchor type="figure" xlink:label="fig-00363-01a" xlink:href="fig-00363-01"/> recompenſe. </s> <s xml:id="echoid-s4832" xml:space="preserve">Mais l’on ne peut enten <pb o="85" file="00364" n="363" rhead="de Galilée Florentin."/> dre la nature & </s> <s xml:id="echoid-s4833" xml:space="preserve">les proprietcz de ces <lb/>inſtrumens, ſi l’on ne comprend les pro-<lb/>prietez du cercle, dont ie parle dans <lb/>vn autre lieu. </s> <s xml:id="echoid-s4834" xml:space="preserve">Il y a encore d’au-<lb/>tres roües qui ont vne grande force, <lb/>comme ſont celles de la viz ſans fin, <lb/>do@tie donne ſeulement icy la figure, <lb/>dan@ laquelle E F G eſt la plus grande <lb/>roüe. </s> <s xml:id="echoid-s4835" xml:space="preserve">A D eſt l’arbre entouré des fi-<lb/>lets E qui entrent dans les dents de la <lb/>dite roüe: </s> <s xml:id="echoid-s4836" xml:space="preserve">mais ſi l’on adioute la roüe <lb/>C B, elle redoublera la force, & </s> <s xml:id="echoid-s4837" xml:space="preserve">la mani-<lb/>neile L fera tourner l’arbre K, dont les <lb/>filets B entrent dans les dents de la ſe-<lb/>conde roüe B C. </s> <s xml:id="echoid-s4838" xml:space="preserve">Le poids I eſt attaché <lb/>à la chorde H, & </s> <s xml:id="echoid-s4839" xml:space="preserve">ſe tient en chaque <lb/>degré de hauteur où l’on veut, ſans <lb/>qu’il ſoit beſoin d’arreſter l’inſtrument <lb/>par aucune force: </s> <s xml:id="echoid-s4840" xml:space="preserve">mais les filets des at-<lb/>bres s’vſent bien toſt.</s> <s xml:id="echoid-s4841" xml:space="preserve"/> </p> <div xml:id="echoid-div160" type="float" level="2" n="1"> <figure xlink:label="fig-00361-01" xlink:href="fig-00361-01a"> <image file="00361-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00361-01"/> </figure> <figure xlink:label="fig-00362-01" xlink:href="fig-00362-01a"> <image file="00362-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00362-01"/> </figure> <figure xlink:label="fig-00363-01" xlink:href="fig-00363-01a"> <image file="00363-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00363-01"/> </figure> </div> <p> <s xml:id="echoid-s4842" xml:space="preserve">Finalement ie veux adiouter vn <lb/>mouffle à ſix poulies qui n’a pas eſté <lb/>mis en ſon lieu, dans le chapitre des <lb/>poulies, affin que ceux qui s’en vou-<lb/>dront ſeruir, voyent comme il faut <lb/>conſtruire cet inſtrument, que Pappus <lb/>appelle Polyſpaſte dans la 24 propoſi-<lb/>tion du 8. </s> <s xml:id="echoid-s4843" xml:space="preserve">liure de ſes Recueils Mathe- <pb o="86" file="00365" n="364" rhead="Les Mechaniques"/> <anchor type="figure" xlink:label="fig-00365-01a" xlink:href="fig-00365-01"/> matiques oùil nomme <lb/>l’armeure HF, ou A G <lb/><emph style="bf">manganum.</emph></s> </p> <div xml:id="echoid-div161" type="float" level="2" n="2"> <figure xlink:label="fig-00365-01" xlink:href="fig-00365-01a"> <image file="00365-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00365-01"/> </figure> </div> <p> <s xml:id="echoid-s4844" xml:space="preserve">L’on voit donc en ce <lb/>mouffle ſix roües, àſça-<lb/>uoir 3 en bas F, D, B, & </s> <s xml:id="echoid-s4845" xml:space="preserve"><lb/>3 en haut G, E, C, mais <lb/>la derniere d’enhaut <lb/>Gne multiplie point la <lb/>force, dautant qu’elle <lb/>ne ſert que comme la <lb/>ſimple poulie d’vn <lb/>puys. </s> <s xml:id="echoid-s4846" xml:space="preserve">Or cet inſtru-<lb/>menteſt plaiſant en ce <lb/>que ſi 4 ou 5 hommes <lb/>employent toute leur <lb/>force à tirer la chorde <lb/>I K, celuy qui tire le <lb/>bout de la chorde L <lb/>d’vne ſeule main les <lb/>fait venir à luy malgré <lb/>qu’ils en ayent. </s> <s xml:id="echoid-s4847" xml:space="preserve">Et l’on <lb/>peut y mettre tant de <lb/>poulies que l’on mene-<lb/>ra les Egliſes, les tours, <lb/>& </s> <s xml:id="echoid-s4848" xml:space="preserve">les autres edifices <lb/>où l’on voudra, pour-<lb/>ueuqu’õ les puiſſe cein- <pb o="87" file="00366" n="365" rhead="de Gaìlée Florentin."/> dre de chordes aſſezfortespour ce ſuict, <lb/>& </s> <s xml:id="echoid-s4849" xml:space="preserve">que les murailles ne ſe ſeparent point <lb/>les vnes des autres. </s> <s xml:id="echoid-s4850" xml:space="preserve">Ceux qui veulent <lb/>ſerieuſement eſtudicr aux Mechani-<lb/>ques doiuent lire tout le 8 liure de <lb/>Pappus, dãs lequel il explique pluſieurs <lb/>ſortes d’inſtruments; </s> <s xml:id="echoid-s4851" xml:space="preserve">& </s> <s xml:id="echoid-s4852" xml:space="preserve">les liure de Gui-<lb/>don Vbalde, qui a le mieux de tous trai-<lb/>té de la nature de ces inſtrumens.</s> <s xml:id="echoid-s4853" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div163" type="section" level="1" n="128"> <head xml:id="echoid-head208" xml:space="preserve">ADDITION. X.</head> <p> <s xml:id="echoid-s4854" xml:space="preserve">Ie mets encore icy vnc figure du plan <lb/>incliné, affin que l’on conſidere l’utilité <lb/>du triangle rectangle dans les mecha-<lb/>niques. </s> <s xml:id="echoid-s4855" xml:space="preserve">Soit donc le triangle BAC, dõc <lb/>la ſouſtendante ou l’hypotenuſe B C <lb/> <anchor type="figure" xlink:label="fig-00366-01a" xlink:href="fig-00366-01"/> eſt double du co-<lb/>ſté B A, & </s> <s xml:id="echoid-s4856" xml:space="preserve">la baſe <lb/>A C eſt parallele <lb/>à l’horizonil: </s> <s xml:id="echoid-s4857" xml:space="preserve">eſt <lb/>conſtant que le <lb/>poids F doit eſtre 2. </s> <s xml:id="echoid-s4858" xml:space="preserve">fois auſſi peſant que <lb/>le poids D pour eſtre équilibre, dautãt <lb/>qu’ilsdoiuent garder entr’ eux la meſme <lb/>raiſon que le coſté C B au coſté A B. <lb/></s> <s xml:id="echoid-s4859" xml:space="preserve">Mais lors que l’on veut ſçauoir la force <lb/>dont le poids F preſſe le plan B F, il faur <lb/>prendre la baſe du triangle A C & </s> <s xml:id="echoid-s4860" xml:space="preserve">la <pb o="88" file="00367" n="366" rhead="Les Mechaniques"/> comparer auec l’hypotenuſe B C, d’au-<lb/>tant que la petanteur entiere du <lb/>poids F eſt à celle par laquelle il <lb/>preſſe le plan B C, comme C B eſt à <lb/>CA, de ſorte que ſi B C eſt 5, & </s> <s xml:id="echoid-s4861" xml:space="preserve">CA 4. <lb/></s> <s xml:id="echoid-s4862" xml:space="preserve">la raiſon de la peſãteur totale eſt ſeſqui-<lb/>quaŕte de la peſanteur relatiue, & </s> <s xml:id="echoid-s4863" xml:space="preserve">con-<lb/>ſequãment la force F ne pourroit rom-<lb/>pre vne reſiſtance de 5. </s> <s xml:id="echoid-s4864" xml:space="preserve">Par où lon voit <lb/>que la conſideration du rayon A C, de la <lb/>tangente B A, & </s> <s xml:id="echoid-s4865" xml:space="preserve">de la ſecãte BC eſt en-<lb/>tierement neccſſaire pour les mechani-<lb/>ques, dont i’ay parlé fort amplement <lb/>dans le dix & </s> <s xml:id="echoid-s4866" xml:space="preserve">l’onzieſme theorême du <lb/>ſecond liure de l’harmonie vniuerſelle.</s> <s xml:id="echoid-s4867" xml:space="preserve"/> </p> <div xml:id="echoid-div163" type="float" level="2" n="1"> <figure xlink:label="fig-00366-01" xlink:href="fig-00366-01a"> <image file="00366-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00366-01"/> </figure> </div> <p> <s xml:id="echoid-s4868" xml:space="preserve">Or puiſque l’on demonſtre que la vi-<lb/>ſteſſe des poids qui deſcendent ſur les <lb/>plans inclinez s’augmentent en raiſon <lb/>doublée des temps, il eſt ayſé de deter-<lb/>miner vn lieu ſurvn plan incliné telque <lb/>l’on voudra, auquel le poids ira auſſi <lb/>viſte qu’en vn autre lieu donné de ſa <lb/>deſcente perpendiculaire, comme l’on <lb/>peut conclure de ce qui a eſtédit dans la <lb/>8 Addition.</s> <s xml:id="echoid-s4869" xml:space="preserve"/> </p> <pb file="00368" n="367"/> <figure> <image file="00368-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00368-01"/> </figure> </div> <div xml:id="echoid-div165" type="section" level="1" n="129"> <head xml:id="echoid-head209" xml:space="preserve">A MONSIEVR, <lb/>MONSIEVR</head> <head xml:id="echoid-head210" xml:space="preserve">DE BOVRGES <lb/>CONSEILLER DV ROY, <lb/>& Threſorier Payeur de Meſ-<lb/>ſieurs les Threſoriers de Fran-<lb/>ce à Orleans.</head> <head xml:id="echoid-head211" xml:space="preserve">MONSIEVR,</head> <p style="it"> <s xml:id="echoid-s4870" xml:space="preserve">Ie ne doute pas que vous ne receuiez <lb/>ce Traité auec contentement, puis qu’il <lb/>contient le principe des plaiſirs les <lb/>plus purs, & </s> <s xml:id="echoid-s4871" xml:space="preserve">les plus innocens de ce <lb/>monde, & </s> <s xml:id="echoid-s4872" xml:space="preserve">qu’il eſt capable de deſabu-<lb/>ſer tous ceux qui s’imaginent que "on</s> </p> <pb file="00369" n="368"/> <pb file="00370" n="369"/> </div> <div xml:id="echoid-div166" type="section" level="1" n="130"> <head xml:id="echoid-head212" xml:space="preserve">LES <lb/>PRELVDES <lb/>DE LHARMONIE <lb/>VNIVERSELLE, <lb/>OV <lb/>QVESTIONS CVRIEVSES.</head> <head xml:id="echoid-head213" style="it" xml:space="preserve">Vtiles aux Predicateurs, aux Theologiens, <lb/>aux Aſtrologues, aux Medecins <lb/>& aux Philoſophes.</head> <head xml:id="echoid-head214" xml:space="preserve">Compoſees par le L.P.M.M.</head> <figure> <image file="00370-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00370-01"/> </figure> </div> <div xml:id="echoid-div167" type="section" level="1" n="131"> <head xml:id="echoid-head215" xml:space="preserve">A PARIS,</head> <head xml:id="echoid-head216" xml:space="preserve">Chez <emph style="sc">Henry gvenon,</emph> ruë S. Iacques, <lb/>prés les Iacobins, à l’image S. Bernard.</head> <head xml:id="echoid-head217" xml:space="preserve">M. DC. XXXIV.</head> <head xml:id="echoid-head218" xml:space="preserve">AVEC PRIVILEGE ET APPROBATION;</head> <pb file="00371" n="370" rhead="EPISTRE."/> <p style="it"> <s xml:id="echoid-s4873" xml:space="preserve">peut predire des choſes certaines par la <lb/>connoiſſance que l’on a de la rĕcontre, <lb/>& </s> <s xml:id="echoid-s4874" xml:space="preserve">des aſpects des planettes, & </s> <s xml:id="echoid-s4875" xml:space="preserve">des <lb/>eſtoille@s. </s> <s xml:id="echoid-s4876" xml:space="preserve">V ous y trouuerez ſembla-<lb/>blement pluſieurs choſes qui appar-<lb/>tiĕnent aux myſteres des nombres, dont <lb/>vous faites vn eſtat particulier, car la <lb/>neufiéme Queſtiõ vous fournira d’idées <lb/>pour examiner les plus ſçauans Analy-<lb/>ſtes, qui ſe vantent de pouuoir re ſoudre <lb/>toutes ſortes de proble ſmes numeri-<lb/>ques, & </s> <s xml:id="echoid-s4877" xml:space="preserve">vous donnera ſuiet de leur <lb/>demander vn nombre, dont les parties <lb/>aliquotes eſtant aſſemblees faſſent le <lb/>triple, & </s> <s xml:id="echoid-s4878" xml:space="preserve">le quadruple ou vn autre <lb/>nombre qui ſoit en raiſon donnée auec <lb/>le nombre, dont elles ſont parties ali-<lb/>quotes; </s> <s xml:id="echoid-s4879" xml:space="preserve">& </s> <s xml:id="echoid-s4880" xml:space="preserve">de ſçauoir s’il y a vn autre <lb/>nombre que 120, dont les parties ſuſ-<lb/>dites faſſent le double, & </s> <s xml:id="echoid-s4881" xml:space="preserve">par quelle <lb/>regle, ou par quelleanalyſe l’õ peut trou-<lb/>uer tant de nombres ſemblables que <lb/>l’on voudra. </s> <s xml:id="echoid-s4882" xml:space="preserve">Il eſt certain qu’il y a des <pb file="00372" n="371" rhead="EPISTRE."/> rencontres dans les nombres, qui rauiſ-<lb/>ſent les plus excellĕts eſprits, lors qu’on <lb/>les a trouués; </s> <s xml:id="echoid-s4883" xml:space="preserve">& </s> <s xml:id="echoid-s4884" xml:space="preserve">que leur eſtandüe <lb/>eſt ſi vaſte, qu’elle arreſte & </s> <s xml:id="echoid-s4885" xml:space="preserve">ſurpaſ-<lb/>ſe l’ entendement des hommes, lequel <lb/>neantmoins en peut vſer pour eſtablir <lb/>vne nouuelle Philoſophie. </s> <s xml:id="echoid-s4886" xml:space="preserve">En effet la <lb/>pureté des nombres eſt treſ-propre pour <lb/>ce ſuier, car elle n’eſt nullement meſlée <lb/>auec la matiere, & </s> <s xml:id="echoid-s4887" xml:space="preserve">conſiſte dans vne <lb/>ſimplicité, & </s> <s xml:id="echoid-s4888" xml:space="preserve">dans vne abſtraction <lb/>beaucoup plus grande que celle de la <lb/>Geometrie qui ſuppoſe des poinsts, des <lb/>lignes, des ſurfaces, & </s> <s xml:id="echoid-s4889" xml:space="preserve">des corps, c’eſt <lb/>à dire trois eſpeces de dimenſions. </s> <s xml:id="echoid-s4890" xml:space="preserve">Mais <lb/>le nombre est ſi pur & </s> <s xml:id="echoid-s4891" xml:space="preserve">ſi ſimple que ſon <lb/>principe ſe trouue meſme en Dieu, le-<lb/>quel est vn, & </s> <s xml:id="echoid-s4892" xml:space="preserve">qui est accompagné <lb/>du ſacré Ternaire des rois Perſonnes <lb/>diuines. </s> <s xml:id="echoid-s4893" xml:space="preserve">Et peut-eſtre qu’il ſeroit ayſé <lb/>de comparer chaque choſe à chaque <lb/>nombre, ſi l’on connoiſſoit la nature <lb/>de tous les indiuidus; </s> <s xml:id="echoid-s4894" xml:space="preserve">ce qui ſeruiroit <pb file="00373" n="372" rhead="EPISTRE."/> pour vne Philoſophie que l’on ne pour-<lb/>roit oublier, à raiſon du bel ordre que <lb/>l’on garderoit dans les raiſonnemens, <lb/>dans les concluſions & </s> <s xml:id="echoid-s4895" xml:space="preserve">dans les demon-<lb/>ſtrations. </s> <s xml:id="echoid-s4896" xml:space="preserve">C’est, MONSIEVR, <lb/>ce que vous pouuez conſiderer auec <lb/>plaiſir, ſi vous en voulez prendre la <lb/>peine, laquelle vous ſera d’autant <lb/>plus agreable, que vous trouuerez vne <lb/>plus grande multùude de ſpecula-<lb/>tions treſ rares, & </s> <s xml:id="echoid-s4897" xml:space="preserve">neantmoins tres-<lb/>fecondes dans l’infinité de l’ Algebre, <lb/>& </s> <s xml:id="echoid-s4898" xml:space="preserve">dans les abyſines tres profonds des <lb/>nombres. </s> <s xml:id="echoid-s4899" xml:space="preserve">I vous offre cependants les <lb/>Preludes de la ſcience, qui ſe ſert des <lb/>nombres. </s> <s xml:id="echoid-s4900" xml:space="preserve">comme de tres ſolides fonde-<lb/>mens, ſur leſquels elle eſtablit ſes prin-<lb/>cipes, & </s> <s xml:id="echoid-s4901" xml:space="preserve">dont elle vſe perpetueliement <lb/>dans ſa maniere de raiſonner, & </s> <s xml:id="echoid-s4902" xml:space="preserve">de <lb/>conclurre, affin que ſon harmonie ſe <lb/>ioigne à celle de voſtre e ſprit, & </s> <s xml:id="echoid-s4903" xml:space="preserve">vous <lb/>faſſe reſſouuenir de la Vocale, dans la-<lb/>quelle vous reuſſiſſez ſi he ureuſement <pb file="00374" n="373" rhead="EPISTRE"/> que les Organiſtes font gloire de ioüer, <lb/>& </s> <s xml:id="echoid-s4904" xml:space="preserve">de faire entendre vos compoſitions <lb/>ſur leurs orgues quand il vous plaiſt <lb/>de les leur donner. </s> <s xml:id="echoid-s4905" xml:space="preserve">Ce qui fait que i’o-<lb/>ſe me promettre que la lecture de ce li-<lb/>ure ne vous ſera pas deſagreable, <lb/>puis que vous prenez tant de plaiſir <lb/>à la ſcience, qui donne le nom aux plus <lb/>belles choſes, & </s> <s xml:id="echoid-s4906" xml:space="preserve">qui a ſerui d’idee à <lb/>Pythagore, & </s> <s xml:id="echoid-s4907" xml:space="preserve">à Platon, lors qu’ils <lb/>ont voulu eſtablir leur Philoſophie. <lb/></s> <s xml:id="echoid-s4908" xml:space="preserve">Vous verrez quand il plaira à Dieu, la <lb/>piece entiere, qui contiendra p@ut eſtre <lb/>quelqu’vne de vos compoſitions, & </s> <s xml:id="echoid-s4909" xml:space="preserve">la <lb/>preſentera à toute l’Europe, & </s> <s xml:id="echoid-s4910" xml:space="preserve">qui <lb/>me ſeruira de caution & </s> <s xml:id="echoid-s4911" xml:space="preserve">d’argument <lb/>pour demonſtrer que i’ay eu raiſon de <lb/>vous dedar ces Preludes, & </s> <s xml:id="echoid-s4912" xml:space="preserve">de me <lb/>dire,</s> </p> <p> <s xml:id="echoid-s4913" xml:space="preserve">MONSIEVR,</s> </p> <p> <s xml:id="echoid-s4914" xml:space="preserve">Voſtre tres humble & </s> <s xml:id="echoid-s4915" xml:space="preserve">tres-<lb/>affectionné ſeruiteur. <lb/></s> <s xml:id="echoid-s4916" xml:space="preserve">F.</s> <s xml:id="echoid-s4917" xml:space="preserve">M.</s> <s xml:id="echoid-s4918" xml:space="preserve">Merſene M.</s> <s xml:id="echoid-s4919" xml:space="preserve"/> </p> <pb file="00375" n="374"/> <figure> <image file="00375-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00375-01"/> </figure> </div> <div xml:id="echoid-div168" type="section" level="1" n="132"> <head xml:id="echoid-head219" style="it" xml:space="preserve">PREFACE AV LECTEVR.</head> <p> <s xml:id="echoid-s4920" xml:space="preserve">I’Ay donné le nom de Preludes <lb/>à ce Liure, parce qu’il a quaſi le <lb/>meſme rapport aux traitez de <lb/>toutes les autres parties de la Mu-<lb/>ſique, que ie donneray bien toſt <lb/>auec l’ayde de Dieu, que les Pre-<lb/>ludes du Luth, de l’Orgue, ou des <lb/>autres Inſtrumens ont auec les <lb/>differentes pieces, & </s> <s xml:id="echoid-s4921" xml:space="preserve">compoſi-<lb/>tions qui ſuiuent apres. </s> <s xml:id="echoid-s4922" xml:space="preserve">Et com-<lb/>me ils plaiſent dauantage à plu-<lb/>ſieurs que ce qui les ſuit, il ſe <lb/>pourra faire que ce Liure ag-<lb/>greera dauantage à quelques vns, <lb/>que ceux qui parleront de ce qui <lb/>concerne les differentes parties <lb/>de l’harmonie. </s> <s xml:id="echoid-s4923" xml:space="preserve">quoy qu’il en ſoit, <lb/>l’on trouuera dans les vns & </s> <s xml:id="echoid-s4924" xml:space="preserve">dans <lb/>les autres dequoy ſe contenter, ſi <pb file="00376" n="375" rhead="PREFACE."/> on les lit de la meſme affection, <lb/>& </s> <s xml:id="echoid-s4925" xml:space="preserve">pour la meſme raiſon que ie les <lb/>donne. </s> <s xml:id="echoid-s4926" xml:space="preserve">Mais il n’eſt pas beſoin <lb/>d’vne plus longue Preface, puiſ-<lb/>que la Table des Queſtions ſup-<lb/>pleera à ce que l’on pourroit <lb/>adiouter.</s> <s xml:id="echoid-s4927" xml:space="preserve"/> </p> <pb file="00377" n="376"/> <figure> <image file="00377-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00377-01"/> </figure> </div> <div xml:id="echoid-div169" type="section" level="1" n="133"> <head xml:id="echoid-head220" xml:space="preserve">TABLE.</head> <head xml:id="echoid-head221" xml:space="preserve">DES QVESTIONS <lb/>de ce Liure.</head> <p> <s xml:id="echoid-s4928" xml:space="preserve">I. </s> <s xml:id="echoid-s4929" xml:space="preserve">Qu. </s> <s xml:id="echoid-s4930" xml:space="preserve">QVelle doit eſtre la conſtitution <lb/>iu ciel, on l’Horoſcope d’vn <lb/>parfait <gap/>ien.</s> <s xml:id="echoid-s4931" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4932" xml:space="preserve">II. </s> <s xml:id="echoid-s4933" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4934" xml:space="preserve">Dans laquelle les principes <lb/>de l’ Aſtrologie iudiciaire ſont examinés dans <lb/>cinq propoſitions.</s> <s xml:id="echoid-s4935" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4936" xml:space="preserve">III Queſt. </s> <s xml:id="echoid-s4937" xml:space="preserve">Pourquoy les ſçauans reietent <lb/>l’Aſtrologie iudiciaire comme vne fable: </s> <s xml:id="echoid-s4938" xml:space="preserve">où <lb/>il eſt @onſtré fort amplement qu’elle ne peut <lb/>rienpredire de probable de la naiſſance des <lb/>hommes, & </s> <s xml:id="echoid-s4939" xml:space="preserve">qu’elle n’a nul fondement aſ-<lb/>ſeuré.</s> <s xml:id="echoid-s4940" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4941" xml:space="preserve">IV. </s> <s xml:id="echoid-s4942" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4943" xml:space="preserve">A ſçauoir ſile temperament <lb/>du parfait Muſicien doit eſtre ſanguin, phlig-<lb/>matique, bilieux, ou m@lancholique peur pou-<lb/>uoir chanter, ou compoſer les plus beaux <lb/>airs qui ſoient poßibles.</s> <s xml:id="echoid-s4944" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4945" xml:space="preserve">V. </s> <s xml:id="echoid-s4946" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4947" xml:space="preserve">Quel doit eſtre la ſçience, & </s> <s xml:id="echoid-s4948" xml:space="preserve">la <lb/>capacité d’vn parfait Muſicien.</s> <s xml:id="echoid-s4949" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4950" xml:space="preserve">VI. </s> <s xml:id="echoid-s4951" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4952" xml:space="preserve">A ſçauoir ſile ſens de l’oüye <lb/>doit eſtre le iuge de la douceur des ſons, &</s> <s xml:id="echoid-s4953" xml:space="preserve"> <pb file="00378" n="377" rhead="TABLE."/> des concerts, ou ſi ceſt oſſice appartient à <lb/>l’entendement.</s> <s xml:id="echoid-s4954" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4955" xml:space="preserve">VII. </s> <s xml:id="echoid-s4956" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4957" xml:space="preserve">A ſçauoir s’il eſt neceſſaire, <lb/>ou expedient d’vſer du geure chromatic, & </s> <s xml:id="echoid-s4958" xml:space="preserve">de <lb/>l’Enarmonic, ou ſi l’ on doit ſe tenir au ſeul <lb/>Diatonic, & </s> <s xml:id="echoid-s4959" xml:space="preserve">ſi l’on ſepeut reduire ces treis <lb/>genres en Pratique.</s> <s xml:id="echoid-s4960" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4961" xml:space="preserve">VIII. </s> <s xml:id="echoid-s4962" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4963" xml:space="preserve">A ſçauoir ſi les chordes par-<lb/>faitement égales eſt ant tirées d’vn mouue-<lb/>ment ég il, u d’vne force égale ſe romproient, <lb/>& </s> <s xml:id="echoid-s4964" xml:space="preserve">en quel lieu elles ſe romproient.</s> <s xml:id="echoid-s4965" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4966" xml:space="preserve">IX. </s> <s xml:id="echoid-s4967" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4968" xml:space="preserve">A ſçauoir pourquoy les Grecs <lb/>ont pluſt @ſt vſ é de Tetrachordes pour eſta-<lb/>blir la Muſique, que du Pentachorde, & </s> <s xml:id="echoid-s4969" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s4970" xml:space="preserve">où l’on void pluſieurs belles remarques ſur le <lb/>nombre de 4. </s> <s xml:id="echoid-s4971" xml:space="preserve">& </s> <s xml:id="echoid-s4972" xml:space="preserve">où le 3. </s> <s xml:id="echoid-s4973" xml:space="preserve">Probleſme de la <lb/>15. </s> <s xml:id="echoid-s4974" xml:space="preserve">ſection d’ Ariſtote est expliqué.</s> <s xml:id="echoid-s4975" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4976" xml:space="preserve">X. </s> <s xml:id="echoid-s4977" xml:space="preserve">Queſt. </s> <s xml:id="echoid-s4978" xml:space="preserve">A ſçauoir ſi les ſons forment <lb/>les mœurs, comme dit Ariſtote, & </s> <s xml:id="echoid-s4979" xml:space="preserve">pourquoy <lb/>ils ſont plus propre à exciter les paſsions, que <lb/>les couleur@, l@s ſaucurs & </s> <s xml:id="echoid-s4980" xml:space="preserve">c.</s> <s xml:id="echoid-s4981" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4982" xml:space="preserve">XI. </s> <s xml:id="echoid-s4983" xml:space="preserve">Qu@ſt. </s> <s xml:id="echoid-s4984" xml:space="preserve">A ſçauoir comme il faut <lb/>compoſer les chanſons pour eſtre les plus excel-<lb/>lentes de toutes les poſsibles.</s> <s xml:id="echoid-s4985" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s4986" xml:space="preserve">Mais il fout remarquer que cette Que-<lb/>ſtion a eſté tronquée, & </s> <s xml:id="echoid-s4987" xml:space="preserve">que nous la <lb/>donnerons toute entiere dans le Liure <lb/>des beaux chants. </s> <s xml:id="echoid-s4988" xml:space="preserve">S’il y a quelque cho- <pb file="00379" n="378"/> ſe à deſirer dans ce Liure, e’eſt particu-<lb/>lierement que l’on donne le temps des <lb/>trois natiuitez, qui ſont dãs la premiere <lb/>Queſtion, & </s> <s xml:id="echoid-s4989" xml:space="preserve">de determiner ſi elles ſont <lb/>deſia paſſées, ouquand elles arriueront: <lb/></s> <s xml:id="echoid-s4990" xml:space="preserve">& </s> <s xml:id="echoid-s4991" xml:space="preserve">c’eſt vn excellent probleſme que ie <lb/>propoſe à tous les Aſtronomes, & </s> <s xml:id="echoid-s4992" xml:space="preserve"><lb/>Aſtrologues du monde.</s> <s xml:id="echoid-s4993" xml:space="preserve"/> </p> <pb file="00380" n="379"/> </div> <div xml:id="echoid-div170" type="section" level="1" n="134"> <head xml:id="echoid-head222" style="it" xml:space="preserve">APPROEATION.</head> <p> <s xml:id="echoid-s4994" xml:space="preserve">NO v s auons veu & </s> <s xml:id="echoid-s4995" xml:space="preserve">approuué les traitez <lb/>ſuiuans du R. </s> <s xml:id="echoid-s4996" xml:space="preserve">P. </s> <s xml:id="echoid-s4997" xml:space="preserve">M. </s> <s xml:id="echoid-s4998" xml:space="preserve">Merſenne Reli-<lb/>gieux de noſtre Ordre, à ſçauoir les Queſtions <lb/>Theologiques, Phyſiques, & </s> <s xml:id="echoid-s4999" xml:space="preserve">tradution des Mecbani-<lb/>ques de Galilée, & </s> <s xml:id="echoid-s5000" xml:space="preserve">les Preludes de l Harmonie & </s> <s xml:id="echoid-s5001" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s5002" xml:space="preserve">& </s> <s xml:id="echoid-s5003" xml:space="preserve">n’y auons rien trouué qui ne ſoit conſorme <lb/>à la vraye Theologie, & </s> <s xml:id="echoid-s5004" xml:space="preserve">aux bonnes mœurs. </s> <s xml:id="echoid-s5005" xml:space="preserve"><lb/>En foy dequoy nous auons icy mis nos ſeings <lb/>Fait en noſtre Conuent de la place Royalle <lb/>ce 20. </s> <s xml:id="echoid-s5006" xml:space="preserve">Iuin 1634.</s> <s xml:id="echoid-s5007" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div171" type="section" level="1" n="135"> <head xml:id="echoid-head223" xml:space="preserve">F. <emph style="sc">François de la</emph> Noüe Minime.</head> <head xml:id="echoid-head224" xml:space="preserve">F. <emph style="sc">Martin</emph> <emph style="sc">Herisse</emph> Minime.</head> <head xml:id="echoid-head225" style="it" xml:space="preserve">Quelques fautesde l’impreſſion des <lb/>Preludes</head> <p> <s xml:id="echoid-s5008" xml:space="preserve">Page 14 liſez raiſon. </s> <s xml:id="echoid-s5009" xml:space="preserve">p. </s> <s xml:id="echoid-s5010" xml:space="preserve">33 liſe z euſt & </s> <s xml:id="echoid-s5011" xml:space="preserve">non il <lb/>fult p. </s> <s xml:id="echoid-s5012" xml:space="preserve">98. </s> <s xml:id="echoid-s5013" xml:space="preserve">l. </s> <s xml:id="echoid-s5014" xml:space="preserve">18 oſteza p. </s> <s xml:id="echoid-s5015" xml:space="preserve">70 l 9 liſez Almu-<lb/>ten. </s> <s xml:id="echoid-s5016" xml:space="preserve">p. </s> <s xml:id="echoid-s5017" xml:space="preserve">71 l 1. </s> <s xml:id="echoid-s5018" xml:space="preserve">@u lieu à auec liſez dans. </s> <s xml:id="echoid-s5019" xml:space="preserve">p. </s> <s xml:id="echoid-s5020" xml:space="preserve">84 l. <lb/></s> <s xml:id="echoid-s5021" xml:space="preserve">penulcieſme on a obmis ☊ ☋ p. </s> <s xml:id="echoid-s5022" xml:space="preserve">86. </s> <s xml:id="echoid-s5023" xml:space="preserve">l. </s> <s xml:id="echoid-s5024" xml:space="preserve">8. </s> <s xml:id="echoid-s5025" xml:space="preserve"><lb/>liſ. </s> <s xml:id="echoid-s5026" xml:space="preserve">laquelle. </s> <s xml:id="echoid-s5027" xml:space="preserve">p. </s> <s xml:id="echoid-s5028" xml:space="preserve">107. </s> <s xml:id="echoid-s5029" xml:space="preserve">l. </s> <s xml:id="echoid-s5030" xml:space="preserve">3. </s> <s xml:id="echoid-s5031" xml:space="preserve">dans les. </s> <s xml:id="echoid-s5032" xml:space="preserve">p. </s> <s xml:id="echoid-s5033" xml:space="preserve">197. </s> <s xml:id="echoid-s5034" xml:space="preserve">l. </s> <s xml:id="echoid-s5035" xml:space="preserve"><lb/>14. </s> <s xml:id="echoid-s5036" xml:space="preserve">ſoigneux. </s> <s xml:id="echoid-s5037" xml:space="preserve">l. </s> <s xml:id="echoid-s5038" xml:space="preserve">26. </s> <s xml:id="echoid-s5039" xml:space="preserve">le</s> </p> <p> <s xml:id="echoid-s5040" xml:space="preserve">Le lecteur iudicieux peut coriger tout le reſte.</s> <s xml:id="echoid-s5041" xml:space="preserve"/> </p> <pb file="00381" n="380"/> </div> <div xml:id="echoid-div172" type="section" level="1" n="136"> <head xml:id="echoid-head226" xml:space="preserve">PRIVILEGE DV ROY.</head> <p> <s xml:id="echoid-s5042" xml:space="preserve">PAr lettres du Rov donnees à Paris <lb/>le mois d’Aouſt de l’année 1634. <lb/></s> <s xml:id="echoid-s5043" xml:space="preserve">ſignees Perrochel, & </s> <s xml:id="echoid-s5044" xml:space="preserve">ſeel@ecs du grand <lb/>ſceau de cire iaune, il eſt permis au <lb/>P. </s> <s xml:id="echoid-s5045" xml:space="preserve">M. </s> <s xml:id="echoid-s5046" xml:space="preserve">Merſenne Religieux Minime <lb/>de faire imprimer par tel Libraire que <lb/>bon luy ſemblera <emph style="bf">Fluſieurs Traittez de</emph> <lb/><emph style="bf">Philoſophie, de Theologie, & de Mathema-</emph> <lb/><emph style="bf">tique.</emph></s> <s xml:id="echoid-s5047" xml:space="preserve">Et deffences ſont faites à toutes <lb/>perſonnes de quelque qualité qu’ils <lb/>ſoientde les faire imprimer, vendre & </s> <s xml:id="echoid-s5048" xml:space="preserve"><lb/>diſtribuer pendantle temps de ſix ans à <lb/>compter du iour que leſdits liures ſe-<lb/>ront acheuez d’imprimer, comme il <lb/>eſt plus amplement porté dans les let-<lb/>tres dudit Priuilege.</s> <s xml:id="echoid-s5049" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5050" xml:space="preserve">Et Iedit P. </s> <s xml:id="echoid-s5051" xml:space="preserve">M. </s> <s xml:id="echoid-s5052" xml:space="preserve">Merſenne à conſenty & </s> <s xml:id="echoid-s5053" xml:space="preserve">con-<lb/>ſent que Henry Guenon ioüiſſe dudit Pri-<lb/>uilege, comme il eſt plas amplement decla-<lb/>ré parl’accord fait entr’eux.</s> <s xml:id="echoid-s5054" xml:space="preserve"/> </p> <pb file="00382" n="381"/> <pb file="00383" n="382"/> <pb o="1" file="00384" n="383"/> <figure> <image file="00384-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00384-01"/> </figure> </div> <div xml:id="echoid-div173" type="section" level="1" n="137"> <head xml:id="echoid-head227" xml:space="preserve"><emph style="bf">PRELVDES</emph> <lb/>DE <lb/>L’HARMONIE.</head> <head xml:id="echoid-head228" xml:space="preserve">QVESTION PREMIERE. <lb/><emph style="bf">Quelle doit eſtre la conſtit@tion du Ciel, ou</emph> <lb/><emph style="bf">l’horoſcope d’vn parfait Muſicien.</emph></head> <p> <s xml:id="echoid-s5055" xml:space="preserve"><emph style="sc">PLvsievrs</emph> eſtiment que <lb/>l’on peut predire ce qui doit <lb/>arriuer aux hommes par la <lb/>connoiſſance des Aſtres: </s> <s xml:id="echoid-s5056" xml:space="preserve">par-<lb/>ce qu’ils diſent que les differentes con-<lb/>ſtitutions de nos corps, & </s> <s xml:id="echoid-s5057" xml:space="preserve">de nos tem-<lb/>peramens dependent des planettes, & </s> <s xml:id="echoid-s5058" xml:space="preserve"><lb/>des eſtoiles qui ſe rencontrent à nos <lb/>naiſſances. </s> <s xml:id="echoid-s5059" xml:space="preserve">Or ie veux icy examiner ce <lb/>que l’on peut dire de la naiſſance d’vn <lb/>parfaict Muſicien, qui ſoit capable de <pb o="2" file="00385" n="384" rhead="Preludes de l’Harmonie."/> plaire par ſes harmonies à toutes ſortes <lb/>de perſonnes ſelon les plus excellentes <lb/>regles de l’Aſtrologie. </s> <s xml:id="echoid-s5060" xml:space="preserve">C’eſt pourquoy <lb/>ie mets icy la Natiuité que les plus ſça-<lb/>uans Aſtrologues de ce ſiecle ont iu-<lb/>gée capable de nous donner vn parfait <lb/>Muſicien. </s> <s xml:id="echoid-s5061" xml:space="preserve">Et puis i’examineray les fon-<lb/>demens, & </s> <s xml:id="echoid-s5062" xml:space="preserve">lesregles de l’Aſtrologie.</s> <s xml:id="echoid-s5063" xml:space="preserve"/> </p> <figure> <image file="00385-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00385-01"/> <caption xml:id="echoid-caption1" xml:space="preserve"><emph style="bf">Natiuité du parfaict Muſicien.</emph></caption> </figure> </div> <div xml:id="echoid-div174" type="section" level="1" n="138"> <head xml:id="echoid-head229" xml:space="preserve"><emph style="bf">De la vie, du temperament, & de la propor-</emph> <lb/><emph style="bf">tion du corps du plus excellent Mu-</emph> <lb/><emph style="bf">ſicien qui puiſſe eſtre.</emph></head> <p> <s xml:id="echoid-s5064" xml:space="preserve"><emph style="bf">I</emph>L faut premieremĕt remarquer dans <lb/>cette figure, que les malefiques ne <pb o="3" file="00386" n="385" rhead="Preludes de l’Harmonie."/> ſont ny trop puiſſans, ny trop éleuez <lb/>ſur les luminaires, ou ſur les autres pla-<lb/>nettes, & </s> <s xml:id="echoid-s5065" xml:space="preserve">qu’ils ne ſe trounent point <lb/>dans les angles. </s> <s xml:id="echoid-s5066" xml:space="preserve">Secondement, que <lb/>les ſignificateurs de la vie ſont exempts <lb/>de leurs mauuais tayons: </s> <s xml:id="echoid-s5067" xml:space="preserve">En troiſieſme <lb/>lieu, que l’aſcendant rend le Muſicien <lb/>fortuné, car il eſt ioint à la Lune, qui eſt <lb/>heureuſe en la premiere maiſon, & </s> <s xml:id="echoid-s5068" xml:space="preserve">qui <lb/>reçoit le Soleil d’vn quadrat ioint à <lb/>♃ ☿, & </s> <s xml:id="echoid-s5069" xml:space="preserve">☿ au ſextil de ♂, & </s> <s xml:id="echoid-s5070" xml:space="preserve">au trin de <lb/>♄, qui tous donnent vne vie forte, & </s> <s xml:id="echoid-s5071" xml:space="preserve"><lb/>vn temperament chaud, & </s> <s xml:id="echoid-s5072" xml:space="preserve">humide, <lb/>qui eſt le meilleur, & </s> <s xml:id="echoid-s5073" xml:space="preserve">le plus viuifiant <lb/>de tous, dont dépend le teint excellent <lb/>du viſage, & </s> <s xml:id="echoid-s5074" xml:space="preserve">des autres parties du corps <lb/>mélées de blanc, & </s> <s xml:id="echoid-s5075" xml:space="preserve">de rouge: </s> <s xml:id="echoid-s5076" xml:space="preserve">A quoy <lb/>ils adiouſtent qu’il ne faut pas craindre <lb/>que ſa vie ſuruiue à ſa gloire; </s> <s xml:id="echoid-s5077" xml:space="preserve">& </s> <s xml:id="echoid-s5078" xml:space="preserve">qu’elle <lb/>ſera ſuiuie d’vn honneur eternel, dau-<lb/>tant qu’il appliquera ſaMuſique à l’hõ-<lb/>neur de la Religion Catholique, qui <lb/>ſeule nous acquiert vn hõneur immor-<lb/>tel, & </s> <s xml:id="echoid-s5079" xml:space="preserve">vne gloire immenſe dans le Ciel.</s> <s xml:id="echoid-s5080" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5081" xml:space="preserve">Et ſi quelqu’vn obiecte que le Soleil <lb/>vient au quadrat de ♂, que la Lune luy <lb/>eſt oppoſee vers la ſixieſme année do <lb/>ſon âge: </s> <s xml:id="echoid-s5082" xml:space="preserve">Que le Soleit remõte par l’op- <pb o="4" file="00387" n="386" rhead="Preludes de l’Harmonie."/> poſé de ♄, & </s> <s xml:id="echoid-s5083" xml:space="preserve">que l’aſcendant eſt bleſſé <lb/>par l’opoſition de ♂. </s> <s xml:id="echoid-s5084" xml:space="preserve">Il eſt facile de ré-<lb/>põdre à ces incõueniĕs, qui ne ſont que <lb/>cheutes, & </s> <s xml:id="echoid-s5085" xml:space="preserve">ruptures de membres, car <lb/>ils ſont empeſchez & </s> <s xml:id="echoid-s5086" xml:space="preserve">ſurmontez par la <lb/>rencontre de ♃, & </s> <s xml:id="echoid-s5087" xml:space="preserve">par le trin, & </s> <s xml:id="echoid-s5088" xml:space="preserve">le ſex-<lb/>til de ☿ & </s> <s xml:id="echoid-s5089" xml:space="preserve">de ☿: </s> <s xml:id="echoid-s5090" xml:space="preserve">c’eſt pourquoy il faut <lb/>attendre que le Soleil, ou l’aſcendant <lb/>viĕnent à leur propre quadrat, qui pro-<lb/>mettent plus de cĕt ans à ce Muſicien.</s> <s xml:id="echoid-s5091" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5092" xml:space="preserve">De plus ♃, ☾, & </s> <s xml:id="echoid-s5093" xml:space="preserve">☉ le fortifient d’v-<lb/>nerare prudence, pieté, & </s> <s xml:id="echoid-s5094" xml:space="preserve">iuſtice pour <lb/>reſiſter à tous ces mouuemens, & </s> <s xml:id="echoid-s5095" xml:space="preserve">ne <lb/>peut y auoir aucune conſtellation ſi <lb/>heureuſe, dans laquelle il ne ſe puiſſe <lb/>rencontrer quelque inconueniĕt, Dieu <lb/>ayant voulu balãcer toutes choſes pour <lb/>noſtre biĕ, pour la beauté de l’vniuers, <lb/>& </s> <s xml:id="echoid-s5096" xml:space="preserve">pour ſa plus grande gloire.</s> <s xml:id="echoid-s5097" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div175" type="section" level="1" n="139"> <head xml:id="echoid-head230" xml:space="preserve"><emph style="bf">Te la profeßion, des mœurs, de l’eſprit, &</emph> <lb/><emph style="bf">de l’excellence du meſme Muſicien.</emph></head> <p> <s xml:id="echoid-s5098" xml:space="preserve"><emph style="bf">D</emph>Es l’entrée de cette natiuité on <lb/>voit que ☿ & </s> <s xml:id="echoid-s5099" xml:space="preserve">♀ Orientaux eſtant <lb/>ioints enſemble luy promettent vne <lb/>grande inclination à la Muſique, & </s> <s xml:id="echoid-s5100" xml:space="preserve">à <pb o="5" file="00388" n="387" rhead="Preludes de l’Harmonie."/> tout ce qu’elle requie. </s> <s xml:id="echoid-s5101" xml:space="preserve">ſes inclinatiõs <lb/>ſont particulierement ſignifiées par la <lb/>conionction de ♃ de la ☾ & </s> <s xml:id="echoid-s5102" xml:space="preserve">de l’épy de <lb/>la ♍ par leur aſpect auec le Soleil, & </s> <s xml:id="echoid-s5103" xml:space="preserve">par <lb/>la conionction de ☿, & </s> <s xml:id="echoid-s5104" xml:space="preserve">de ♀, qui ſont <lb/>au trin partil de ♄ & </s> <s xml:id="echoid-s5105" xml:space="preserve">au ſextil de ♂, qui <lb/>tous le rendront courtois, gay, affable, <lb/>& </s> <s xml:id="echoid-s5106" xml:space="preserve">d’vn viſage ſerein, & </s> <s xml:id="echoid-s5107" xml:space="preserve">ouuert à tout <lb/>le monde, & </s> <s xml:id="echoid-s5108" xml:space="preserve">particulierement grand <lb/>amateur de la verité, & </s> <s xml:id="echoid-s5109" xml:space="preserve">de la Religion <lb/>Catholique; </s> <s xml:id="echoid-s5110" xml:space="preserve">car ♃ auec l’épi de la ♍ <lb/>donnent vne particuliere inclination à <lb/>la pieté, & </s> <s xml:id="echoid-s5111" xml:space="preserve">la meſme étoile le rend apte <lb/>à coniecturer, & </s> <s xml:id="echoid-s5112" xml:space="preserve">à preuoir: </s> <s xml:id="echoid-s5113" xml:space="preserve">Car cetto <lb/>aptitude vient de ♀, & </s> <s xml:id="echoid-s5114" xml:space="preserve">des eſtoiles de <lb/>ſa nature: </s> <s xml:id="echoid-s5115" xml:space="preserve">Il ſera auſſi fort éloquent & </s> <s xml:id="echoid-s5116" xml:space="preserve"><lb/>diſert, & </s> <s xml:id="echoid-s5117" xml:space="preserve">aura vne merueilleuſe facilité <lb/>pour inuenter, à cauſe du ſextil de ♂ à <lb/>☿, & </s> <s xml:id="echoid-s5118" xml:space="preserve">à ♀ venant d’vn ſigne mobile: </s> <s xml:id="echoid-s5119" xml:space="preserve">car <lb/>les ſignes mobiles donnent l’inuention, <lb/>qui naiſt de la promptitude de l’eſprit.</s> <s xml:id="echoid-s5120" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5121" xml:space="preserve">Il aura vne grãde facilité à compren-<lb/>dre les ſciences, dautãt que ☿ & </s> <s xml:id="echoid-s5122" xml:space="preserve">♀ ſont <lb/>ioints partilement ſur le point du mi-<lb/>lieu du Ciel, & </s> <s xml:id="echoid-s5123" xml:space="preserve">ſont auec les eſtoiles <lb/>des pieds des Gemeaux, qui donnent <lb/>de nouuelles inuentions pour tout ce <lb/>que l’on entreprend, comme l’on voin <pb o="6" file="00389" n="388" rhead="Preludes de l’Harmonie."/> aux natiuitez d’Alciat, de Petrarque, <lb/>& </s> <s xml:id="echoid-s5124" xml:space="preserve">des autres.</s> <s xml:id="echoid-s5125" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5126" xml:space="preserve">En fin, ſa memoire ſera grandement <lb/>heureuſe, & </s> <s xml:id="echoid-s5127" xml:space="preserve">aſſeurée, à cauſe du trin <lb/>partil de ♄, qui eſt en vn ſigne fixe, en <lb/>ſes dignitez, & </s> <s xml:id="echoid-s5128" xml:space="preserve">auec l’étoile lumineuſe <lb/>d’Aquarius. </s> <s xml:id="echoid-s5129" xml:space="preserve">L’étoile vendangeuſe, & </s> <s xml:id="echoid-s5130" xml:space="preserve"><lb/>le bouuier en l’aſcendant, dont la pre-<lb/>miere eſt de la nature de ♄, de ☿, & </s> <s xml:id="echoid-s5131" xml:space="preserve">de <lb/>♀, augmenteront beaucoup ſon eſprit, <lb/>& </s> <s xml:id="echoid-s5132" xml:space="preserve">ſa memoire: </s> <s xml:id="echoid-s5133" xml:space="preserve">Et le ☉ auec Hercule <lb/>le rendront ſtudieux, parce qu’il eſt au <lb/>quadrat reçeu de la ☾, laquelle eſtant <lb/>maiſtreſſe de la neufieſme, & </s> <s xml:id="echoid-s5134" xml:space="preserve">en la pre-<lb/>miere maiſon, & </s> <s xml:id="echoid-s5135" xml:space="preserve">♂ eſtant ſeigneur de <lb/>la troiſieſme en vn ſigne mobile, en aſ-<lb/>pect partil du ſeigneur de la geniture, <lb/>& </s> <s xml:id="echoid-s5136" xml:space="preserve">autrin de la fortune, ilfera pluſieurs <lb/>voyages, beaucoup de dépence pour <lb/>conuerſer auec les plus excellents Mu-<lb/>ſiciens qu’il pourra rencontrer, & </s> <s xml:id="echoid-s5137" xml:space="preserve">n’ou-<lb/>bliera rien de tout ce qui peut rendre la <lb/>Muſique recommandable parmi les <lb/>hommes.</s> <s xml:id="echoid-s5138" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5139" xml:space="preserve">♄ luy apportera vne grande perſeue-<lb/>rance, & </s> <s xml:id="echoid-s5140" xml:space="preserve">vne diligence nompareille <lb/>pour la lecture de tous les anciens, qui <lb/>ont écrit de la Muſique, afin d’enrichir, <pb o="7" file="00390" n="389" rhead="Preludes de l’Harmonie."/> & </s> <s xml:id="echoid-s5141" xml:space="preserve">de perfectionner cette ſcience: </s> <s xml:id="echoid-s5142" xml:space="preserve">ſa <lb/>voix ſera ſi douce, ſi roulante, ſi accor-<lb/>dante & </s> <s xml:id="echoid-s5143" xml:space="preserve">ſi agreable, qu’il rauira les eſ-<lb/>prits auec ſes chanſons; </s> <s xml:id="echoid-s5144" xml:space="preserve">car il la rendra <lb/>aiguë, quand il voudra par le ſextil de <lb/>♂, graue par le trin de ♄, & </s> <s xml:id="echoid-s5145" xml:space="preserve">mediocre <lb/>par ♀, de maniere qu’il pourra chanter <lb/>la Baſſe, la Taille, & </s> <s xml:id="echoid-s5146" xml:space="preserve">le Deſſus quand il <lb/>luy piaira.</s> <s xml:id="echoid-s5147" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5148" xml:space="preserve">♂ luy donnera la force d’animer des <lb/>airs propres pour exciter à la guerre, & </s> <s xml:id="echoid-s5149" xml:space="preserve"><lb/>pour repreſenter le cliquetis des armes, <lb/>& </s> <s xml:id="echoid-s5150" xml:space="preserve">les fanfares de la trompette: </s> <s xml:id="echoid-s5151" xml:space="preserve">le trin <lb/>de ♄ le rendra propre pour repreſenter <lb/>les choſes languiſſantes, & </s> <s xml:id="echoid-s5152" xml:space="preserve">funebres, & </s> <s xml:id="echoid-s5153" xml:space="preserve"><lb/>pour ſaiſir les cœurs des auditeurs d’v-<lb/>ne grande triſteſſe, qu’il pourra telle-<lb/>ment amolir, que leur plus violante fu-<lb/>reur, & </s> <s xml:id="echoid-s5154" xml:space="preserve">leur plus ardente colere ſera <lb/>changée dans les tendres élans d’vne <lb/>douce pitié.</s> <s xml:id="echoid-s5155" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5156" xml:space="preserve">Il ſera ſçauant en toutes les parties de <lb/>Mathematique, qui ſeruiront pour en-<lb/>richir la Muſique, & </s> <s xml:id="echoid-s5157" xml:space="preserve">fera des vers fort <lb/>excellents, qui n’auront rien de l’aſcif, <lb/>& </s> <s xml:id="echoid-s5158" xml:space="preserve">qui ſeront remplis de pieté: </s> <s xml:id="echoid-s5159" xml:space="preserve">Car la <lb/>☾, ♃, & </s> <s xml:id="echoid-s5160" xml:space="preserve">l’épi de la ♍ ſont conjoincts. </s> <s xml:id="echoid-s5161" xml:space="preserve">Il <lb/>aura vn grand credit parmi toutes ſor- <pb o="8" file="00391" n="390" rhead="Preludes de l’Harmonie."/> tes de perſonnes; </s> <s xml:id="echoid-s5162" xml:space="preserve">car la ☾ auec ♃, & </s> <s xml:id="echoid-s5163" xml:space="preserve"><lb/>l’épi de la ♍ receuant le ☉ d’vn quadrat <lb/>luy acquiereront l’amitié & </s> <s xml:id="echoid-s5164" xml:space="preserve">la faueut <lb/>des Princes, à cauſe du Soleil; </s> <s xml:id="echoid-s5165" xml:space="preserve">des Pre-<lb/>lats, à cauſe de ♃, & </s> <s xml:id="echoid-s5166" xml:space="preserve">du peuple, à cau. <lb/></s> <s xml:id="echoid-s5167" xml:space="preserve">ſe de la Lune: </s> <s xml:id="echoid-s5168" xml:space="preserve">Il ſera riche, & </s> <s xml:id="echoid-s5169" xml:space="preserve">puiſſant <lb/>en benefices, & </s> <s xml:id="echoid-s5170" xml:space="preserve">en dignitez Eccleſia-<lb/>ſtiques, qu’il obtiĕdra par ſon induſtrie; </s> <s xml:id="echoid-s5171" xml:space="preserve"><lb/>il ſera connu des Rois, dautant que <lb/>le ☉ eſt au milieu du Ciel auec vne <lb/>belle étoile, & </s> <s xml:id="echoid-s5172" xml:space="preserve">au quadrat receu de la <lb/>Lune.</s> <s xml:id="echoid-s5173" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5174" xml:space="preserve">Et parce qu’il eſt hors de ſes dig nitez, <lb/>& </s> <s xml:id="echoid-s5175" xml:space="preserve">☿ auſſi, il ſera chery, & </s> <s xml:id="echoid-s5176" xml:space="preserve">admiré, hors <lb/>de ſon pais, & </s> <s xml:id="echoid-s5177" xml:space="preserve">ſera honoré des ſiens, <lb/>dautant que ☿ eſt en ſa maiſon: </s> <s xml:id="echoid-s5178" xml:space="preserve">♂ fera <lb/>voller ſa gloire par tout le: </s> <s xml:id="echoid-s5179" xml:space="preserve">monde: </s> <s xml:id="echoid-s5180" xml:space="preserve">♄ <lb/>auecfomahand, qui ſignifie l’immorta-<lb/>lité du nom, fera durer ſa memoire, & </s> <s xml:id="echoid-s5181" xml:space="preserve"><lb/>la fera paſſer à la poſterité, & </s> <s xml:id="echoid-s5182" xml:space="preserve">ſes écrits, <lb/>& </s> <s xml:id="echoid-s5183" xml:space="preserve">compoſitions ſeront dignes d’eſtre <lb/>grauées dans le marbre, ou dans le ce-<lb/>dre, & </s> <s xml:id="echoid-s5184" xml:space="preserve">laiſſeront vn regret à cous les <lb/>Muſiciens de ne pouuoir faire mieux, <lb/>& </s> <s xml:id="echoid-s5185" xml:space="preserve">vn deſeſpoir de le pouuoir imiter. <lb/></s> <s xml:id="echoid-s5186" xml:space="preserve">Par conſequent ce Muſicien aura les <lb/>trois choſes qu’vn ancien deſiroit <lb/>pour deuenir ſçauant, à ſçauoir <emph style="bf">oüir,</emph> <pb o="9" file="00392" n="391" rhead="Preludes de l’Harmonie."/> <emph style="bf">voir, & auoir</emph>, & </s> <s xml:id="echoid-s5187" xml:space="preserve">ſur montera tous ceux <lb/>qui l’auront deuancé, & </s> <s xml:id="echoid-s5188" xml:space="preserve">tous ceux qui <lb/>viendront apres luy.</s> <s xml:id="echoid-s5189" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5190" xml:space="preserve">Or parce qu’il n’y a perſonne pour <lb/>grand, & </s> <s xml:id="echoid-s5191" xml:space="preserve">pour excellent perſonnage <lb/>qu’il puiſſe eſtre, qui ne ſoit ſujet à l’en-<lb/>uie des médisãs, & </s> <s xml:id="echoid-s5192" xml:space="preserve">des eſprits mal faits, <lb/>ſi quelqu’vn luy reproche qu’il eſt en-<lb/>clin aux ſales voluptez, à raiſon des aſ-<lb/>pects partils de ♄, & </s> <s xml:id="echoid-s5193" xml:space="preserve">de ♂. </s> <s xml:id="echoid-s5194" xml:space="preserve">Ie répons <lb/>qu’encore que chacun ait ſes imperfe-<lb/>ctions, & </s> <s xml:id="echoid-s5195" xml:space="preserve">qu’il n’y ait perſonne qui ſoit <lb/>parfaitement heureux pendant que <lb/>nous viuons icy: </s> <s xml:id="echoid-s5196" xml:space="preserve">Neantmoins il pour-<lb/>ra facilement reſiſter à cette inclinatiõ, <lb/>à cauſe de ♃, de la ☾, & </s> <s xml:id="echoid-s5197" xml:space="preserve">du ☉, qui le <lb/>fortifient, & </s> <s xml:id="echoid-s5198" xml:space="preserve">qui luy dõnent vne gran-<lb/>de prudence, pieté, & </s> <s xml:id="echoid-s5199" xml:space="preserve">iuſtice.</s> <s xml:id="echoid-s5200" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5201" xml:space="preserve">Voila ce qu’on peut dire de cette na-<lb/>tiuité ſuiuãt l’Aſtrologie, qui a eſté pra-<lb/>tiquée, @@ qui ſe pratique maintenant: <lb/></s> <s xml:id="echoid-s5202" xml:space="preserve">d’où l’on peut tirer beaucoup d’autres <lb/>iugemens, & </s> <s xml:id="echoid-s5203" xml:space="preserve">concluſions: </s> <s xml:id="echoid-s5204" xml:space="preserve">Carie me <lb/>ſuis contenté de marquer tout ce qui <lb/>s’y voit de principal pour rendre vn <lb/>homme parfaitement ſçauant en Mu-<lb/>ſique.</s> <s xml:id="echoid-s5205" xml:space="preserve"/> </p> <pb o="10" file="00393" n="392" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div176" type="section" level="1" n="140"> <head xml:id="echoid-head231" xml:space="preserve"><emph style="bf">Raiſons contre la figure, & la natiuité</emph> <lb/><emph style="bf">precedente.</emph></head> <p> <s xml:id="echoid-s5206" xml:space="preserve"><emph style="bf">L</emph>‘On trouue premierement que ce-<lb/>luy qui naiſtroit ſouz cette figure <lb/>celeſte, ne ſeroit pas de longue vie, & </s> <s xml:id="echoid-s5207" xml:space="preserve"><lb/>qu’il mourroit de mort violante, car la <lb/>Lune eſt en l’oppoſé de ♂ aſſez partil, <lb/>puis qu’elle s’y peut ioindre dans l’eſpa-<lb/>ce de 24. </s> <s xml:id="echoid-s5208" xml:space="preserve">heures, & </s> <s xml:id="echoid-s5209" xml:space="preserve">que le Soleil eſt <lb/>proche de la teſte d’Hercule, qui eſt <lb/>d’vne nature violente: </s> <s xml:id="echoid-s5210" xml:space="preserve">D’abondant, <lb/>Mars eſt logé dans la huictieſme, dans <lb/>laquelle il ſignifie le genre de mort, <lb/>quant l’oppoſé de ♂, qui eſt anarete, <lb/>bleſſera la Lune, ou l’aſcendant, dont <lb/>l’vn vient pluſtoſt que l’autre. </s> <s xml:id="echoid-s5211" xml:space="preserve">Et bien <lb/>que ♃ s’y oppoſe, neãtmoins ſon corps <lb/>ne ſuccede pas à ce rayon malefique, & </s> <s xml:id="echoid-s5212" xml:space="preserve"><lb/>c’eſt ſe promettre le retour du iour paſ-<lb/>ſé que d’attĕdre l’effect d’vne direction <lb/>paſſée de neuf ans, pour en empeſcher <lb/>vne qui la ſuit: </s> <s xml:id="echoid-s5213" xml:space="preserve">Quant au trine de Ve-<lb/>nus, qui l’accompagne, elle ne le peut <lb/>empeſcher: </s> <s xml:id="echoid-s5214" xml:space="preserve">♀ eſt eſtrangere, & </s> <s xml:id="echoid-s5215" xml:space="preserve">n’a <lb/>qu’vne force accidentelle, bien qu’elle <pb o="11" file="00394" n="393" rhead="Preludes de l’Harmonie."/> ſoit dans l’angle du midy: </s> <s xml:id="echoid-s5216" xml:space="preserve">de plus elle <lb/>n’eſt pas ſi puiſſante que ♂ en ſa propro <lb/>maiſon.</s> <s xml:id="echoid-s5217" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5218" xml:space="preserve">Orce Muſicien n’auroit pas entiere-<lb/>ment ſon temperament chaud & </s> <s xml:id="echoid-s5219" xml:space="preserve">hu-<lb/>mide; </s> <s xml:id="echoid-s5220" xml:space="preserve">car le ſigne qui monte eſt celuy <lb/>qui donne la meilleure condition au <lb/>temperament, lors qu’il eſt ſans planet-<lb/>tes: </s> <s xml:id="echoid-s5221" xml:space="preserve">Quand il s’y en trouue quelqu’vn <lb/>elle communique ſa nature, de manie-<lb/>re que le ſigne aſcendant de cette nati-<lb/>uité eſtant froid & </s> <s xml:id="echoid-s5222" xml:space="preserve">ſec, eſt icy nommé <lb/>la baſe du temperament, qui ſemble <lb/>corriger ſon ſignificateur eſtant ioint à <lb/>vn planette chaud & </s> <s xml:id="echoid-s5223" xml:space="preserve">humide dans vn <lb/>ſigne de ſemblable nature: </s> <s xml:id="echoid-s5224" xml:space="preserve">ce qui n’y <lb/>apporte pas neantmoins grande choſe, <lb/>car il eſt en l’aſpect ſextil de ♂ chaud <lb/>& </s> <s xml:id="echoid-s5225" xml:space="preserve">ſec, & </s> <s xml:id="echoid-s5226" xml:space="preserve">au ſigne de meſme qualité, & </s> <s xml:id="echoid-s5227" xml:space="preserve"><lb/>eſt trin de Saturne retrograde, qui eſt <lb/>froid & </s> <s xml:id="echoid-s5228" xml:space="preserve">ſec, & </s> <s xml:id="echoid-s5229" xml:space="preserve">qui diminuë l’humide <lb/>pour augmenter la ſeichereſſe; </s> <s xml:id="echoid-s5230" xml:space="preserve">ioint <lb/>que la Lune, qui gouuerne les humeurs <lb/>eſtant bleſſée par ♂, affoiblit grande-<lb/>ment ſa temperature.</s> <s xml:id="echoid-s5231" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5232" xml:space="preserve">Quant à la profeſſion du Muſicien, <lb/>☿, ♀, & </s> <s xml:id="echoid-s5233" xml:space="preserve">♂ ſont ſignificateurs (auec le <lb/>milieu du Ciel) de la vacation, ♀ ſigni- <pb o="12" file="00395" n="394" rhead="Preludes de l’Harmonie."/> fie les Muſiciens: </s> <s xml:id="echoid-s5234" xml:space="preserve">& </s> <s xml:id="echoid-s5235" xml:space="preserve">☿ les Poëtes: </s> <s xml:id="echoid-s5236" xml:space="preserve">Or <lb/>♀ eſt icy iointe à ☿, mais elle n’eſt pas <lb/>ſignificatrice du cœur du Ciel, par con-<lb/>ſequent elle n’eſt pas la principale diſ-<lb/>poſitrice de la vacation, & </s> <s xml:id="echoid-s5237" xml:space="preserve">ne la peut <lb/>eſtre qu’en t@nt qu elle eſt en la ligne <lb/>meridionale. </s> <s xml:id="echoid-s5238" xml:space="preserve">Or ☿ y a plus de force car <lb/>le ſigne qui occupe cet eſpace, eſt ſon <lb/>domicile: </s> <s xml:id="echoid-s5239" xml:space="preserve">ſçauoir s’il prend la nature <lb/>de ♀, ou ſi eſtant le plus fort il prend <lb/>ſeulement la ſienne, c’eſt la difficulté. <lb/></s> <s xml:id="echoid-s5240" xml:space="preserve">@outefois cela ne peut reſoudre le dou-<lb/>te: </s> <s xml:id="echoid-s5241" xml:space="preserve">par exemple, il y a deux perſonnes <lb/>qui ont ♀, & </s> <s xml:id="echoid-s5242" xml:space="preserve">☿ ioints partilement, l’vn <lb/>aux poiſſons en l’aſcĕdant, qui eſt con-<lb/>ſeiller, & </s> <s xml:id="echoid-s5243" xml:space="preserve">ayme grandement la poëſie, <lb/>& </s> <s xml:id="echoid-s5244" xml:space="preserve">ſur tout la Latine mais il n’ay me nul-<lb/>lement la Muſique: </s> <s xml:id="echoid-s5245" xml:space="preserve">l’autre a cette con-<lb/>jonction dans le 20. </s> <s xml:id="echoid-s5246" xml:space="preserve">degré de ♍, qui eſt <lb/>gentil-homme de bon eſprit, mais ſans <lb/>lettres, & </s> <s xml:id="echoid-s5247" xml:space="preserve">ne ſçait point la Muſique, par <lb/>conſequant il faut dire, quoy que ☿ ſoit <lb/>le plus fort, ou le plus foible, qu’il ne <lb/>fait pas touſiours des Muſiciens, ny ♀ <lb/>auec luy, & </s> <s xml:id="echoid-s5248" xml:space="preserve">qu’il eſt beſoin d’autres cõ-<lb/>ſtellations. </s> <s xml:id="echoid-s5249" xml:space="preserve">Or le ſextil de Mars eſt logé <lb/>en la huictieſme, & </s> <s xml:id="echoid-s5250" xml:space="preserve">le trin de ♄ retro-<lb/>grade, qui le feroient pluſtoſt Aſtrolo- <pb o="13" file="00396" n="395" rhead="Preludes de l’ Harmonie."/> gue, & </s> <s xml:id="echoid-s5251" xml:space="preserve">Necromantien, que Muſicien; <lb/></s> <s xml:id="echoid-s5252" xml:space="preserve">En fin la teſte, & </s> <s xml:id="echoid-s5253" xml:space="preserve">la queuë du Dragon <lb/>ne @ont point en cette natiuité, & </s> <s xml:id="echoid-s5254" xml:space="preserve">par <lb/>conſequent elle eſt imparfaite.</s> <s xml:id="echoid-s5255" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div177" type="section" level="1" n="141"> <head xml:id="echoid-head232" style="it" xml:space="preserve">Reſponce à l’obiection prec@dente, & confir-<lb/>mation du moſme Horoſcope.</head> <p> <s xml:id="echoid-s5256" xml:space="preserve"><emph style="bf">L</emph>A premiere partie de l’objection <lb/>conſiſte en ce que la Lune eſt en <lb/>l’oppoſé de ♂ aſſez partil: </s> <s xml:id="echoid-s5257" xml:space="preserve">A laquelle <lb/>on peut répondre que la Lune n’ayant <lb/>que douze degrez & </s> <s xml:id="echoid-s5258" xml:space="preserve">demy d’orbe, & </s> <s xml:id="echoid-s5259" xml:space="preserve"><lb/>♂ huict degrez: </s> <s xml:id="echoid-s5260" xml:space="preserve">& </s> <s xml:id="echoid-s5261" xml:space="preserve">eſtant éloignez l’vn <lb/>de l’autre de 13. </s> <s xml:id="echoid-s5262" xml:space="preserve">degrez, & </s> <s xml:id="echoid-s5263" xml:space="preserve">demy, il ne <lb/>ſe peut faire qu’il y ait aſpect: </s> <s xml:id="echoid-s5264" xml:space="preserve">ſi l’on ne <lb/>vouloit par vne nouuelle Aſtrologie <lb/>oſter aux aſtres la proprieté des cauſes <lb/>ſecondes à ſçauoir d’eſtre bornez d’vne <lb/>certaine ſphere d’actiuité, outre laquel-<lb/>le ils n’agiſſent plus, & </s> <s xml:id="echoid-s5265" xml:space="preserve">qu’on diſt que <lb/>leur force eſt infinie, ou qu’il faille pour <lb/>leur dõnerforce d’aſpect, qu’ils ſe puiſ-<lb/>ſe ioindre en 24. </s> <s xml:id="echoid-s5266" xml:space="preserve">heures: </s> <s xml:id="echoid-s5267" xml:space="preserve">ce qui n’ aia-<lb/>mais eſté allegué, ny experimenté par <lb/>aucun autheur digne de foy mais pour-<lb/>quoy pluſtoſt en 24. </s> <s xml:id="echoid-s5268" xml:space="preserve">heures, qu’en dou- <pb o="14" file="00397" n="396" rhead="Preludes de l’ Harmonie."/> ze, & </s> <s xml:id="echoid-s5269" xml:space="preserve">pluſtoſt en douze qu’en vn autre <lb/>nombre: </s> <s xml:id="echoid-s5270" xml:space="preserve">Eſt-ce de meſme pour toutes <lb/>les autres, comme pour ♂.</s> <s xml:id="echoid-s5271" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5272" xml:space="preserve">De plus, encore qu’ils fuſſent entre-<lb/>lacez, ou mélez en leur orbe, comme <lb/>par exemple, la Lune au vingt vnieſme <lb/>de ♎, & </s> <s xml:id="echoid-s5273" xml:space="preserve">♂ comme il eſt, & </s> <s xml:id="echoid-s5274" xml:space="preserve">que ♃ fuſt <lb/>entre deux: </s> <s xml:id="echoid-s5275" xml:space="preserve">par exemple, au vingt-<lb/>deuxieſme de ♎, il n’y auroit point <lb/>d’aſpect entre ♂ & </s> <s xml:id="echoid-s5276" xml:space="preserve">la ☾ ſelon Cardan, <lb/>Peucer, Leonitius, Schonner, Magin <lb/>& </s> <s xml:id="echoid-s5277" xml:space="preserve">tous les autres, quand ils parlent de <lb/>l’empeſchement, ou prohibition de lu-<lb/>miere, dont la maiſon eſt euidente, & </s> <s xml:id="echoid-s5278" xml:space="preserve"><lb/>facile à deduire. </s> <s xml:id="echoid-s5279" xml:space="preserve">Par cõſequãt la ☾ n’ eſt <lb/>pas en l’oppoſé de ♂, & </s> <s xml:id="echoid-s5280" xml:space="preserve">n’y a point de <lb/>mort violĕte: </s> <s xml:id="echoid-s5281" xml:space="preserve">& </s> <s xml:id="echoid-s5282" xml:space="preserve">l’oppoſitiõ du ☉ à Her-<lb/>cule n’en peut eſtre cauſe eſtant ſeule, <lb/>mais ſeulemĕt de quelques hazards de <lb/>voleurs, ou autres fort legers, qui ſont <lb/>tous adoucis, ou oſtez parl’ oppoſitiõ de <lb/>la ☾, & </s> <s xml:id="echoid-s5283" xml:space="preserve">de ♃ à leur ◻ receptif. </s> <s xml:id="echoid-s5284" xml:space="preserve">Il faut di-<lb/>re la meſme choſe de ♂ dãs la huitieſ-<lb/>me; </s> <s xml:id="echoid-s5285" xml:space="preserve">car les malefiques doiuent eſtre <lb/>dans les angles, ou bien les luminaires <lb/>doiuent eſtre bleſſez par cux. </s> <s xml:id="echoid-s5286" xml:space="preserve">A quoy <lb/>on peut adioufter que les morts violen-<lb/>tes ne ſe font qu’aux ſignes de cõtraire <pb o="15" file="00398" n="397" rhead="Preludes de l’ Harmonie."/> nature, comme a remarqué Ptolomée, <lb/>& </s> <s xml:id="echoid-s5287" xml:space="preserve">que les planettes ne menacent point <lb/>de mort en leur maiſon quand ils ſont <lb/>empeſchez le moins du monde; </s> <s xml:id="echoid-s5288" xml:space="preserve">à quoy <lb/>l’on ne ſçauroit contredire, puis que <lb/>l’experience en eſt confirmée par Pto-<lb/>lomée, & </s> <s xml:id="echoid-s5289" xml:space="preserve">par tous les autheurs de la Iu-<lb/>diciaire: </s> <s xml:id="echoid-s5290" xml:space="preserve">Par conſequãt il ne faut point <lb/>aller à l’encontre des lieux ſuccedents, <lb/>comme quand ♃ ſuccede à vne dire-<lb/>ction: </s> <s xml:id="echoid-s5291" xml:space="preserve">ce que l’on peut voir dans Ptolo-<lb/>mée, au traitté des directions A pheti-<lb/>ques: </s> <s xml:id="echoid-s5292" xml:space="preserve">Autrement on ne ſçauroit dire <lb/>pourquoy l’on ne meurt pas d’vne ma-<lb/>ladie, ou d’vn autre accident.</s> <s xml:id="echoid-s5293" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5294" xml:space="preserve">Secondement le *** <lb/> de ♀ peut empeſ-<lb/>cher cet accident, puis qu’elle n’eſt pas <lb/>eſtrangere en ♎, où elle obtient plu-<lb/>ſieurs dignitez, & </s> <s xml:id="echoid-s5295" xml:space="preserve">le *** <lb/> de ☿ eſt auſſi bon <lb/>que celuy de ♁, parce que ☿ prend la <lb/>nature des aſtres, auſquels il ſe ioint: <lb/></s> <s xml:id="echoid-s5296" xml:space="preserve">Or vne force doublée eſt plus grande <lb/>qu’vne ſimple, comme celle de ♂ & </s> <s xml:id="echoid-s5297" xml:space="preserve">de <lb/>♀ eſt plus forte eſtant dans le centre <lb/>d’vn angle, Oriĕtale, iointe à ☿, & </s> <s xml:id="echoid-s5298" xml:space="preserve">éle-<lb/>uée par deſſus ♂, comme dit Cardan, <lb/>au liure 3. </s> <s xml:id="echoid-s5299" xml:space="preserve">texte 10. </s> <s xml:id="echoid-s5300" xml:space="preserve">du Quadupartit.</s> <s xml:id="echoid-s5301" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5302" xml:space="preserve">La ſeconde partie de l’ objection trai- <pb o="16" file="00399" n="398" rhead="Preludes de l’ Harmonie."/> te du temperament, à laquelle on ré-<lb/>pond qu’il ne faut pas iuger du tempe-<lb/>rament par le ſigne qui eſt à l’ aſcendãt, <lb/>encore qu’il n’ait qu’vn degré, dautant <lb/>que les ſignes n õt point de force d’eux-<lb/>meſmes: </s> <s xml:id="echoid-s5303" xml:space="preserve">Quant à la Lune, elle n’ eſt <lb/>point empeſchée de ♂, & </s> <s xml:id="echoid-s5304" xml:space="preserve">♀ eſt plus for-<lb/>te: </s> <s xml:id="echoid-s5305" xml:space="preserve">D’auantage, il faut remarquer que <lb/>♄ deſtruit ce que ♂ pourroit faire eſtant <lb/>nocturne, & </s> <s xml:id="echoid-s5306" xml:space="preserve">dans l’ Aquarius.</s> <s xml:id="echoid-s5307" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5308" xml:space="preserve">De plus, il faut conſiderer le ☉, & </s> <s xml:id="echoid-s5309" xml:space="preserve">la <lb/>Lune auec ſes aſpects, & </s> <s xml:id="echoid-s5310" xml:space="preserve">ſes eſtoiles; <lb/></s> <s xml:id="echoid-s5311" xml:space="preserve">Et pour bien iuger du temperament, il <lb/>faut ſçauoir l’aplication des cinquante <lb/>deux combinations, toutes par degrez <lb/>des quatre premieres qualitez, ſuiuant <lb/>l’opinion de Ptolomée, & </s> <s xml:id="echoid-s5312" xml:space="preserve">de Cardan.</s> <s xml:id="echoid-s5313" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5314" xml:space="preserve">Quant à la profeſſion du Muſicien, <lb/>il n’y faut pas mettre ♂, mais ſeulemĕt <lb/>♀, & </s> <s xml:id="echoid-s5315" xml:space="preserve">☿, ſuiuant les regles de l’art: </s> <s xml:id="echoid-s5316" xml:space="preserve">car <lb/>il ne faut pas douter que ☿ ne prenne la <lb/>qualité de ♀, qui eſt comme la forme, <lb/>& </s> <s xml:id="echoid-s5317" xml:space="preserve">☿ eſt comme la matiere, dont on <lb/>peut voir la nature dãs Cardan, au trai-<lb/>té de la nature des planettes.</s> <s xml:id="echoid-s5318" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5319" xml:space="preserve">De plus, ♀ ne ſignifie pas la profeſ-<lb/>ſion, parce qu’elle eſt en la ligne meri-<lb/>dienne; </s> <s xml:id="echoid-s5320" xml:space="preserve">mais ſeulement à cauſe qu’elle <pb o="17" file="00400" n="399" rhead="Preludes de l’ Harmonie."/> eſt Orientale, comme dit Ptolomée. <lb/></s> <s xml:id="echoid-s5321" xml:space="preserve">Or la conſequence de l’objection tirée <lb/>de cette natiuité, dans laquelleon voit <lb/>les deux con õctions de ☿, & </s> <s xml:id="echoid-s5322" xml:space="preserve">de ♀, eſt <lb/>nulle: </s> <s xml:id="echoid-s5323" xml:space="preserve">car elle eſt tirée de deux propo-<lb/>ſitions particulieres, differentes, & </s> <s xml:id="echoid-s5324" xml:space="preserve">ſe-<lb/>parées: </s> <s xml:id="echoid-s5325" xml:space="preserve">A quoy l õ peut adiouſter qu’el-<lb/>les ne ſont pas partiles, ny dans les 11, <lb/>ny dans le milieu du Ciel, ny dans la <lb/>partie Orientale.</s> <s xml:id="echoid-s5326" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5327" xml:space="preserve">Il faut reſpondre à la troiſieſme par-<lb/>tie de l’obiection, que la teſte & </s> <s xml:id="echoid-s5328" xml:space="preserve">la <lb/>queuë du Dragon ſont comme les ze-<lb/>ro en chifre, qui ne font qu’augmen-<lb/>ter la valeur des autres planettes, ou <lb/>la diminuer bien peu: </s> <s xml:id="echoid-s5329" xml:space="preserve">Car l’on ne ſçau-<lb/>roit montrer dans aucune Natiuité <lb/>depuis la creation du monde inſques à <lb/>preſent, qu’elles ayent fait quelqué <lb/>choſe, quand elles ont eſté toutes ſeu-<lb/>les: </s> <s xml:id="echoid-s5330" xml:space="preserve">Et neantmoins qui voudroit ren-<lb/>contrer le temps de cette conſtitution <lb/>celeſte, il ſeroit contrainct, apres auoir <lb/>trouué tout le reſte, de chãger de deux, <lb/>ou de trois mil ans pour la queuc & </s> <s xml:id="echoid-s5331" xml:space="preserve">la <lb/>teſte du Dragon.</s> <s xml:id="echoid-s5332" xml:space="preserve"/> </p> <pb o="18" file="00401" n="400" rhead="Preludes de l’ Harmonie."/> <figure> <image file="00401-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00401-01"/> <caption xml:id="echoid-caption2" xml:space="preserve"><emph style="bf">Autre Horoſcope capable de nous donner vn</emph> <lb/><emph style="bf">tres-parfaict Muſicien.</emph></caption> </figure> <p> <s xml:id="echoid-s5333" xml:space="preserve"><emph style="bf">L</emph>A premiere choſe qu’il faut conſi-<lb/>derer dãs cette figure eſt, que tou-<lb/>tes les planettes ſont ſur terre, & </s> <s xml:id="echoid-s5334" xml:space="preserve">dire-<lb/>ctes, & </s> <s xml:id="echoid-s5335" xml:space="preserve">les benefiquès aux angles auec <lb/>des eſtoiles fixes, à ſçauoir ♀, & </s> <s xml:id="echoid-s5336" xml:space="preserve">☿ auec <lb/>l’épy de la ♍; </s> <s xml:id="echoid-s5337" xml:space="preserve">& </s> <s xml:id="echoid-s5338" xml:space="preserve">♃ eſt ioinct à la Lune <lb/>auec vne nouuelle eſtoile de la premie-<lb/>re grandeur, qui eſt de la nature de ♀, <lb/>& </s> <s xml:id="echoid-s5339" xml:space="preserve">de ☿, elle eſt au Serpentaire, commc <pb o="19" file="00402" n="401" rhead="Preludes de l’ Harmonie."/> celle qui parut en l’année 1604. </s> <s xml:id="echoid-s5340" xml:space="preserve">au pied <lb/>du meſme Serpentaire: </s> <s xml:id="echoid-s5341" xml:space="preserve">Car nous la <lb/>pouuons auſſi bien ſuppoſer que tout le <lb/>reſte. </s> <s xml:id="echoid-s5342" xml:space="preserve">Or cette conſtitution celeſte <lb/>promet vn tres - excellent Muſicien <lb/>d’inclination, de profeſſion, & </s> <s xml:id="echoid-s5343" xml:space="preserve">d’inſti-<lb/>tution, de maniere qu’il n’en nâquit <lb/>iamais vn sĕblable en beauté de corps; <lb/></s> <s xml:id="echoid-s5344" xml:space="preserve">ou en excellence d’eſprit, ny qui euſt <lb/>tãt de probité en ſes mœurs, & </s> <s xml:id="echoid-s5345" xml:space="preserve">de dou-<lb/>ceur en ſa conuerſation, car il ſeroit <lb/>remply de toutes ſortes de vertus.</s> <s xml:id="echoid-s5346" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5347" xml:space="preserve">Or auant que de faire le iugement de <lb/>cette conſtitution celeſte, il faut re-<lb/>marquer qu’elle eſt dreſſee ſuiuant l’o-<lb/>pinion de Stadius: </s> <s xml:id="echoid-s5348" xml:space="preserve">Et bien que Gauric <lb/>die que quand tous les planettes ſont <lb/>ſur la terre, que la vie n’eſt pas longue, <lb/>neantmoins Garceus, & </s> <s xml:id="echoid-s5349" xml:space="preserve">Iunctin rapor-<lb/>tent vn grand nombre de Natiuitez, où <lb/>tous les planettes ſont ſur la terre, <lb/>pour des perſonnes qui ont veſcu long-<lb/>temps; </s> <s xml:id="echoid-s5350" xml:space="preserve">& </s> <s xml:id="echoid-s5351" xml:space="preserve">remarquent que ceux qui les <lb/>ont ainſi placés, ont quelque choſe de <lb/>tres-excellent par deſſus le commun.</s> <s xml:id="echoid-s5352" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5353" xml:space="preserve">Le Sagitaire eſt en l’aſcendant, qui <lb/>donneroit vn temperament chaud & </s> <s xml:id="echoid-s5354" xml:space="preserve"><lb/>ſec, s’il montoit tout ſeul eſtant de la <pb o="20" file="00403" n="402" rhead="Preludes de l’ Harmonie."/> triplicité ignée: </s> <s xml:id="echoid-s5355" xml:space="preserve">Mais ♃ chaud & </s> <s xml:id="echoid-s5356" xml:space="preserve">hu-<lb/>mide, & </s> <s xml:id="echoid-s5357" xml:space="preserve">la ☾ froide & </s> <s xml:id="echoid-s5358" xml:space="preserve">humide (qui tĕ-<lb/>pere grandementla chaleur exceſſiue) <lb/>aydez des ſextils de ♀, & </s> <s xml:id="echoid-s5359" xml:space="preserve">de ☿ logez <lb/>dans vn ſigne aërien, & </s> <s xml:id="echoid-s5360" xml:space="preserve">l’étoile nouuel-<lb/>le aſcendante, qui eſt de la nature de <lb/>♃, & </s> <s xml:id="echoid-s5361" xml:space="preserve">de ♀, donnent vn temperament <lb/>chaud & </s> <s xml:id="echoid-s5362" xml:space="preserve">humide, & </s> <s xml:id="echoid-s5363" xml:space="preserve">par conſequent <lb/>ſanguin, qui eſt le plus parfait de tous <lb/>les temperaments. </s> <s xml:id="echoid-s5364" xml:space="preserve">L’étoile nouuelle <lb/>eſt au Sagitaire, prés du lieu où telles <lb/>étoiles paroiſſent, à ſçauoir dans la voie <lb/>laitée: </s> <s xml:id="echoid-s5365" xml:space="preserve">car celle de la Caſſiopée, & </s> <s xml:id="echoid-s5366" xml:space="preserve">du <lb/>Croiſet, & </s> <s xml:id="echoid-s5367" xml:space="preserve">celle qui parut en 1604. </s> <s xml:id="echoid-s5368" xml:space="preserve">ſe <lb/>voient en cette ceinture, & </s> <s xml:id="echoid-s5369" xml:space="preserve">ne s’aper-<lb/>çoiuent en nulle autre partie du Ciel <lb/>qu’en celle cy, qui eſt comme le Zo-<lb/>diaque des Cometes. </s> <s xml:id="echoid-s5370" xml:space="preserve">Elle eſt en l’aſcĕ-<lb/>dant iointe à ♃, & </s> <s xml:id="echoid-s5371" xml:space="preserve">a la Lune pour vne <lb/>plus grande ſignification, dautant que <lb/>les étoiles fixes ſans les planetes, & </s> <s xml:id="echoid-s5372" xml:space="preserve"><lb/>hors des angles ne produiſent pas de <lb/>grands effets.</s> <s xml:id="echoid-s5373" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5374" xml:space="preserve">Et neantmoins s’il fuſt né quelqu’vn, <lb/>quand l’étoile nouuelle parut dans la <lb/>Caſſiopée, il n’euſt pas eſté Muſicien, <lb/>dautant que les autres rencontres qui <lb/>ſont en cetheme, ſont neceſſaires, dans <pb o="21" file="00404" n="403" rhead="Preludes de l’ Harmonie."/> lequel la nouuelle étoile n’a pas eſté <lb/>miſe pour ſignifier vn Muſicien, mais <lb/>pour le ſignifier incomparable ſuppoſé <lb/>qu’il le fuſt, & </s> <s xml:id="echoid-s5375" xml:space="preserve">pour faire que ſes com-<lb/>poſitions durent beaucoup de ſiecles: <lb/></s> <s xml:id="echoid-s5376" xml:space="preserve">Car les étoiles nouuelles bien placées <lb/>produiſent d’admirables effets: </s> <s xml:id="echoid-s5377" xml:space="preserve">C’eſt <lb/>pour vne ſemblable raiſon que Cardan <lb/>voulant imaginer vne figure celeſte <lb/>pour la naiſſance de noſtre Sauueur, <lb/>met l’étoile aparuë aux Mages en l’aſ-<lb/>cendant, quoy que mal à propos, puis <lb/>qu’il fait monter la Balance.</s> <s xml:id="echoid-s5378" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5379" xml:space="preserve">Or ♃ en l’aſcendant fait ordinaire-<lb/>ment le premier né d’entre les freres, & </s> <s xml:id="echoid-s5380" xml:space="preserve"><lb/>donne la grandeur & </s> <s xml:id="echoid-s5381" xml:space="preserve">la beauté: </s> <s xml:id="echoid-s5382" xml:space="preserve">à quoy <lb/>ſert auſſi le ſextil de ♀, qui precede le <lb/>point orizontal: </s> <s xml:id="echoid-s5383" xml:space="preserve">Car l’aſpect prece-<lb/>dent de quelque planette donne la fi-<lb/>gure. </s> <s xml:id="echoid-s5384" xml:space="preserve">♀ la donne belle, eſtant icy bien <lb/>placée, & </s> <s xml:id="echoid-s5385" xml:space="preserve">la rĕd parfaite & </s> <s xml:id="echoid-s5386" xml:space="preserve">tres-agrea-<lb/>ble: </s> <s xml:id="echoid-s5387" xml:space="preserve">à laquelle ♃ adiouſte vne douce <lb/>maieſté: </s> <s xml:id="echoid-s5388" xml:space="preserve">& </s> <s xml:id="echoid-s5389" xml:space="preserve">ainſi mélez ils donnent la <lb/>bien veillance de chacun, de ſorte qu’il <lb/>ne reſte rien à deſirer: </s> <s xml:id="echoid-s5390" xml:space="preserve">cartous les pla-<lb/>nettes ayment Venus, excepté ♄: </s> <s xml:id="echoid-s5391" xml:space="preserve">Mais <lb/>il eſt dans ſa puiſſance, eſtant logé dans <lb/>le Taureau, ioint qu’il a ſon exaltation <pb o="22" file="00405" n="404" rhead="Preludes de l’ Harmonie."/> au lieu de ♀: </s> <s xml:id="echoid-s5392" xml:space="preserve">Et puis ♃, qui eſt aymé <lb/>des planettes, excepté de ♂, gouuerne <lb/>le Ciel coniointement auec ♀, de ma-<lb/>niere que mélãs leurs puiſſances ils rĕ-<lb/>dent l’enfant agre@ble à tout le monde.</s> <s xml:id="echoid-s5393" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5394" xml:space="preserve">Cette Natiuité promet auſſi les bon-<lb/>nes mœurs: </s> <s xml:id="echoid-s5395" xml:space="preserve">car Iupiter eſt ioint à la Lu-<lb/>ne, qui eſt mere de la faculté naturelle, <lb/>& </s> <s xml:id="echoid-s5396" xml:space="preserve">eſt regardé de bon œil par ☿, qui ſi-<lb/>guifie la faculté animale, quand il eſt <lb/>bien placé auec la teſte du Dragon.</s> <s xml:id="echoid-s5397" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5398" xml:space="preserve">L’épy de la Vierge, & </s> <s xml:id="echoid-s5399" xml:space="preserve">Venus don-<lb/>nent vn tres - bon eſprit & </s> <s xml:id="echoid-s5400" xml:space="preserve">tres - ver-<lb/>tueux, & </s> <s xml:id="echoid-s5401" xml:space="preserve">la debonnaireté, & </s> <s xml:id="echoid-s5402" xml:space="preserve">probi-<lb/>té, auec vne affection à la Religion, la-<lb/>quelle eſtant ſignifiée par le Soleil en la <lb/>neufieſme, & </s> <s xml:id="echoid-s5403" xml:space="preserve">par ♃ en l’ Orient, doit <lb/>eſtre la Chreſtienne, ſuiuant les regles <lb/>des Aſtrologues: </s> <s xml:id="echoid-s5404" xml:space="preserve">Et parce que le ☉ eſt <lb/>dans la maiſon de Religion, ce Muſi-<lb/>cien, dont nous parlons, en doit profeſ-<lb/>ſer la pureté, & </s> <s xml:id="echoid-s5405" xml:space="preserve">meſme auoir des vi-<lb/>ſions, & </s> <s xml:id="echoid-s5406" xml:space="preserve">des reuelations bien nettes.</s> <s xml:id="echoid-s5407" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5408" xml:space="preserve">Il doit encore eſtre tres-heureux, car <lb/>Iupiter eſtant en l’aſcendant luy pro-<lb/>met de grandes richeſſes, qui luy vien-<lb/>dront de ſon art, & </s> <s xml:id="echoid-s5409" xml:space="preserve">de ſon trauail. </s> <s xml:id="echoid-s5410" xml:space="preserve">Ce <lb/>que confirment les aſpects de ♀, & </s> <s xml:id="echoid-s5411" xml:space="preserve">de <pb o="23" file="00406" n="405" rhead="Preludes de l’ Harmonie."/> ☿ ſignificateurs de l’art, neantmoins <lb/>ſes richeſſes cõſiſteront plus en argent, <lb/>& </s> <s xml:id="echoid-s5412" xml:space="preserve">en beaux meubles, qu’en autres poſ-<lb/>ſeſſions.</s> <s xml:id="echoid-s5413" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5414" xml:space="preserve">Quant à ſon art, ♂, ♀, & </s> <s xml:id="echoid-s5415" xml:space="preserve">☿ en ſont <lb/>les ſignificateurs: </s> <s xml:id="echoid-s5416" xml:space="preserve">♀, eſt la plus puiſſan-<lb/>te, & </s> <s xml:id="echoid-s5417" xml:space="preserve">la principale; </s> <s xml:id="echoid-s5418" xml:space="preserve">car elle eſt dame <lb/>du milieu du Ciel, & </s> <s xml:id="echoid-s5419" xml:space="preserve">gouuerne entie-<lb/>rement la maiſon de la vacatiõ; </s> <s xml:id="echoid-s5420" xml:space="preserve">Et biĕ <lb/>que iointe à ☿ elle puiſſe ſignifier vn <lb/>Peintre, vn Poete, vn Parfumeur, vn <lb/>Confiturier, & </s> <s xml:id="echoid-s5421" xml:space="preserve">vn Muſicien: </s> <s xml:id="echoid-s5422" xml:space="preserve">Neant-<lb/>moins elle ſignifie ſeulemĕt icy vn par-<lb/>fait Poëte, & </s> <s xml:id="echoid-s5423" xml:space="preserve">vn parfait Muſicien, car <lb/>eſtant iointe à l’ épy de la ♍, & </s> <s xml:id="echoid-s5424" xml:space="preserve">ſe trou-<lb/>uant en l’angle du Midy, elle eſt ſi no-<lb/>ble qu’elle fait les arts Mechaniques, <lb/>cõme ſont la peinture, la parfumerie, <lb/>& </s> <s xml:id="echoid-s5425" xml:space="preserve">c. </s> <s xml:id="echoid-s5426" xml:space="preserve">C’eſt pourquoy elle ne peut faire <lb/>qu’vn Muſicien. </s> <s xml:id="echoid-s5427" xml:space="preserve">A quoy contribuë la <lb/>queuë du Dragon, & </s> <s xml:id="echoid-s5428" xml:space="preserve">les planettes en <lb/>l’aſcĕdant, qui regardent Venus d’ vnœil <lb/>gracieux, auecvne nouuelle étoile de la <lb/>nature de Venus qui y donne auſſi ſon <lb/>ſecours: </s> <s xml:id="echoid-s5429" xml:space="preserve">car elle eſt iointe au cœur du <lb/>Scorpion. </s> <s xml:id="echoid-s5430" xml:space="preserve">Or Garceus remarque que <lb/>♂ eſtãt ainſi placé fait d’excellĕts Mu-<lb/>@iciens, qui ſont particulierement ſi- <pb o="24" file="00407" n="406" rhead="Preludes de l’ Harmonie."/> gnifiez par Venus, dautant qu’elle eſt <lb/>bien placée, & </s> <s xml:id="echoid-s5431" xml:space="preserve">que tout le Ciel coniu-<lb/>re à leur faueur, ſoit pour chanter, ſoit <lb/>pour compoſer, & </s> <s xml:id="echoid-s5432" xml:space="preserve">pour inuenter: </s> <s xml:id="echoid-s5433" xml:space="preserve">car <lb/>Venus eſtant logée dãs vn ſigne aerien <lb/>donne vne douceur de voix incompa-<lb/>rable: </s> <s xml:id="echoid-s5434" xml:space="preserve">Ce que confirme l’étoile nou-<lb/>uelle en l’aſcendent, qui eſt de la natu-<lb/>re de Venus par participation de Iupi-<lb/>ter. </s> <s xml:id="echoid-s5435" xml:space="preserve">C’eſt pourquoi la pluſpart des chãts <lb/>que fera ce Muſicien, ſeront doux, & </s> <s xml:id="echoid-s5436" xml:space="preserve"><lb/>graues: </s> <s xml:id="echoid-s5437" xml:space="preserve">Et l’on peut croire qu Orfée <lb/>deuoit auoir vne ſemblable Natiuité, <lb/>s’il eſt vray ce qu’on rapporte de luy, <lb/>cncore qu’vn tel Muſicien ne doiue vi-<lb/>ure que cinquante ſix ans, parce que <lb/>quand l’oppoſé de ♄ viendra au cœur <lb/>du Ciel, & </s> <s xml:id="echoid-s5438" xml:space="preserve">au quarré de l’aſcendant, <lb/>il le menace de mort.</s> <s xml:id="echoid-s5439" xml:space="preserve"/> </p> <pb o="25" file="00408" n="407" rhead="Preludes de l’ Harmonie."/> <figure> <image file="00408-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00408-01"/> <caption xml:id="echoid-caption3" xml:space="preserve"><emph style="bf">Troiſieſme Horoſcope ou Natiuité du</emph> <lb/><emph style="bf">Muſicien parfait.</emph></caption> </figure> <p> <s xml:id="echoid-s5440" xml:space="preserve"><emph style="bf">C</emph>Ette figure a eſté expreſſément <lb/>diſpoſee en cette maniere pour <lb/>eſtre forte en ſa ſignification, & </s> <s xml:id="echoid-s5441" xml:space="preserve">pour <lb/>éuiter les aſpects parfaits, afin de les <lb/>mettre tous dans leurs aplications, ou <lb/>defluxions. </s> <s xml:id="echoid-s5442" xml:space="preserve">Or ſi l’on deſiroit pluſtoſt le <lb/>chant actwel de la voix, que la ſcience <lb/>de bien chanter, Il faudro@t mettre la <lb/>Lune au 3. </s> <s xml:id="echoid-s5443" xml:space="preserve">du Belier, mais elle ne ſeroit <pb o="26" file="00409" n="408" rhead="Preludes de l’ Harmonie."/> pas ſi propre à la ſpeculatiõ, que quand <lb/>elle eſt au 3. </s> <s xml:id="echoid-s5444" xml:space="preserve">de la ♎, d’où il apert qu il <lb/>y a des manquemens par tout: </s> <s xml:id="echoid-s5445" xml:space="preserve">Car la <lb/>figure qui eſt bonne pour vne choſe, eſt <lb/>mauuaiſe pour l’autre Quelques-vns <lb/>tiennent qu’il euſt fallu rendre Venus <lb/>plus puiſſante que Mercure au milieu <lb/>du Ciel, & </s> <s xml:id="echoid-s5446" xml:space="preserve">mettre la Lune dans vn ſi-<lb/>gne plus Saturnien, & </s> <s xml:id="echoid-s5447" xml:space="preserve">fixe pour faire <lb/>l’eſprit de Muſicien plus contempla-<lb/>tif.</s> <s xml:id="echoid-s5448" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5449" xml:space="preserve">Voila, à mon aduis, tout ce quiſe <lb/>peut apporter demeilleur de la part des <lb/>Aſtres en faueur du parfait Muſicien: <lb/></s> <s xml:id="echoid-s5450" xml:space="preserve">Mais parce que ie fais profeſſion de n’ĕ-<lb/>braſſer autre choſe que la verité, & </s> <s xml:id="echoid-s5451" xml:space="preserve">que <lb/>ie me ſuis ſerui de la doctrine, & </s> <s xml:id="echoid-s5452" xml:space="preserve">de l’o-<lb/>pinion des plus excellents Maiſtres en <lb/>cet art, ſans en dire mon ſentiment, ie <lb/>veux faire voir dans le diſcours qui ſuit <lb/>le parti qu’il fant tenir, & </s> <s xml:id="echoid-s5453" xml:space="preserve">ce qu’il faut <lb/>croire de ces Natiuitez, & </s> <s xml:id="echoid-s5454" xml:space="preserve">de tous les <lb/>Horoſcopes qui ſe peuuĕt dreſſer, apres <lb/>auoir apporté ce qu’en croit la Sorbo-<lb/>ne, dont l’on void l’ Arreſt, & </s> <s xml:id="echoid-s5455" xml:space="preserve">la Cen-<lb/>ſure qui ſuit.</s> <s xml:id="echoid-s5456" xml:space="preserve"/> </p> <pb o="27" file="00410" n="409" rhead="Preludes de l’ Harmonie."/> </div> <div xml:id="echoid-div178" type="section" level="1" n="142"> <head xml:id="echoid-head233" xml:space="preserve"><emph style="bf">COROLLAIRE I.</emph> <lb/><emph style="bf">L’ON DEMANDE SI LA PRO-</emph> <lb/><emph style="bf">feßion de ceux qui s’ employent à faire àes</emph> <lb/><emph style="bf">Horoſcopes & Natiuitez, & croient</emph> <lb/><emph style="bf">neantmoins que les Aſtres & influences</emph> <lb/><emph style="bf">celeſtes nous inclinent ſeulement, ſans ap-</emph> <lb/><emph style="bf">porter aucune neceßsité, eſt bonne & licite,</emph> <lb/><emph style="bf">ou bien meſchante ou illicite.</emph></head> <p> <s xml:id="echoid-s5457" xml:space="preserve"><emph style="bf">N</emph>Ovs ſoubs-ſignez Docteurs en <lb/>Theologie de la faculté de Paris, <lb/>Apres auoir meurement conſideré cet-<lb/>te queſtion. </s> <s xml:id="echoid-s5458" xml:space="preserve">Auons eſté d’auis que la-<lb/>dite profeſſion eſt du tout illicite & </s> <s xml:id="echoid-s5459" xml:space="preserve">dã-<lb/>nable, & </s> <s xml:id="echoid-s5460" xml:space="preserve">qui ne doit eſtre aucunement <lb/>toleree en vne Republique. </s> <s xml:id="echoid-s5461" xml:space="preserve">Car pre-<lb/>mierement outre la vanité, incertitu-<lb/>de, & </s> <s xml:id="echoid-s5462" xml:space="preserve">faulſeté d’icelle, que l’experien-<lb/>ce journaliere nous apprend, elle eſt <lb/>expreſſément condamnée en l’ Eſcritu-<lb/>re ſaincte, en Ieremie Chapitre 10. </s> <s xml:id="echoid-s5463" xml:space="preserve">A <lb/>ſignis cœli nolite metuere, quæ timent gen-<lb/>tes: </s> <s xml:id="echoid-s5464" xml:space="preserve">quia leges populorum vanæ ſunt. </s> <s xml:id="echoid-s5465" xml:space="preserve">Secõ-<lb/>demĕt pource qu’elle s’arroge vne cho-<lb/>ſe qui ne conuient qu’à Dieu ſeul: </s> <s xml:id="echoid-s5466" xml:space="preserve">qui <pb o="28" file="00411" n="410" rhead="Preludes de l’ Harmonie."/> eſt de cognoiſtre les futurs accidens des <lb/>hommes auant qu’ils arriuent, en Iſaie <lb/>Chap. </s> <s xml:id="echoid-s5467" xml:space="preserve">41. </s> <s xml:id="echoid-s5468" xml:space="preserve">annunciate quæ ventura ſunt in <lb/>futurum, & </s> <s xml:id="echoid-s5469" xml:space="preserve">ſciemus quod dij eſtis vos. </s> <s xml:id="echoid-s5470" xml:space="preserve">Cõ-<lb/>ſideré d’<unsure/>ailleurs que leſdits accidĕs hu-<lb/>mains dépendent d’ordinaire de la rai-<lb/>ſon & </s> <s xml:id="echoid-s5471" xml:space="preserve">liberté des hommes, laquelle, <lb/>comme enſeignent tous les@heologiĕs, <lb/>eſt de ſa conditiõ naturelle releuée pat <lb/>deſſus toutes ſortes de cauſes ſecondes, <lb/>meſme les Cieux: </s> <s xml:id="echoid-s5472" xml:space="preserve">n’eſtant icelles faites <lb/>& </s> <s xml:id="echoid-s5473" xml:space="preserve">crées que pour le ſeruice & </s> <s xml:id="echoid-s5474" xml:space="preserve">vſage de <lb/>l’homme. </s> <s xml:id="echoid-s5475" xml:space="preserve">Creauit Deus omnia propter ho-<lb/>minem, hominem vero propter ſe. </s> <s xml:id="echoid-s5476" xml:space="preserve">De ſor-<lb/>te que leſdites, conſtellations & </s> <s xml:id="echoid-s5477" xml:space="preserve">influĕ-<lb/>ces n’ont & </s> <s xml:id="echoid-s5478" xml:space="preserve">ne peuuent auoir aucune <lb/>force ſur leſdits euenemens qui depen-<lb/>dent d’icelle liberté: </s> <s xml:id="echoid-s5479" xml:space="preserve">& </s> <s xml:id="echoid-s5480" xml:space="preserve">quand elles en <lb/>auroient (ce qui toutes fois eſt tres-<lb/>faux) il ne s’ĕſuiuroit pas que les Aſtro-<lb/>logues les peuſſent recognoiſtre & </s> <s xml:id="echoid-s5481" xml:space="preserve"><lb/>moins en porter des iugemens ou en <lb/>donner aſſeurance. </s> <s xml:id="echoid-s5482" xml:space="preserve">C’a eſté vn erreur <lb/>remarqué par les Peres anciens és Pri@-<lb/>cillianiſtes, comme dit ſainct Gregoire <lb/>en l’Homelie 10. </s> <s xml:id="echoid-s5483" xml:space="preserve">ſur les Euangiles, Teſ-<lb/>quels ayans touſiours eſté tenus pour <lb/>heretiques, ceux qui font aujourd’huy <pb o="29" file="00412" n="411" rhead="Preludes de l’ Harmoniè."/> pareille profeſſion doiuent eſtre tenuz <lb/>en meſme rang. </s> <s xml:id="echoid-s5484" xml:space="preserve">A quoy nous adiouſtõs <lb/>la Cenſure de noſtre Faculté, donnée <lb/>à l’inſtance de Meſſieurs du Parlement <lb/>de Paris, contre vn nom mé Maiſtre Si-<lb/>mon Phares, promeu à l’ordre de Dia-<lb/>cre, gui ſe qualifioit Medecin & </s> <s xml:id="echoid-s5485" xml:space="preserve">Aſtro-<lb/>logue, les liures du quel furent ſolem-<lb/>nellemĕt condamnez par Arreſt à eſtre <lb/>bruſlez, en laquelle cenſure, ſe retrou-<lb/>uent notamment ces mots.</s> <s xml:id="echoid-s5486" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5487" xml:space="preserve">Sæpe his decem menſibus libros iſtos rele-<lb/>gimus (il y auoit vnze Liures, ſi bien <lb/>qu’il y fallut employer beaucoup de <lb/>temps) Sæpe vniuerſi conuenientes de con-<lb/>tentis diſputauimus; </s> <s xml:id="echoid-s5488" xml:space="preserve">poſt multam tandem <lb/>variamque doctorum ſacrorum, & </s> <s xml:id="echoid-s5489" xml:space="preserve">aliorum <lb/>doctorum, eorumdemque grauißimorum au-<lb/>ctorum lectionem: </s> <s xml:id="echoid-s5490" xml:space="preserve">poſtmultos labores, in hãc <lb/>vnanimiter ſententiam deuenimus, vt præ-<lb/>dictam artem, nempe genethliacam, vt in his <lb/>& </s> <s xml:id="echoid-s5491" xml:space="preserve">ſimilibus libris continetur (ſi modò artis <lb/>nomine digna eſt) qua qui vtuntur, ſæpe <lb/>Mathematici, quand oque genethliaci, nouu-<lb/>quam Chaldæi, interdum Aſtrologi à ſcripto-<lb/>ribus dicuntur: </s> <s xml:id="echoid-s5492" xml:space="preserve">prorſus vanam, imo nullam <lb/>eſſe nulla probabili ratione fulcitam, menda-<lb/>cem, fallacißimam, ſuperſtitioſam, diuini <pb o="30" file="00413" n="412" rhead="Preludes de l’ Harmoniè."/> honoris vſurpatiuam, bonorum morum cor-<lb/>ruptiuam, à Dæmone patre mendacij, humani <lb/>generis implacabili hoſte, cui etiam vera di-<lb/>centi aſſentire nefas ſit inuentam iudicaui-<lb/>mus. </s> <s xml:id="echoid-s5493" xml:space="preserve">Quam cum Diuino Iuri, Canonico at-<lb/>que Ciuili ſub grauißimarum pænarum in-<lb/>terminatione prohibitam à ſummis Sacræ <lb/>Theologiæ iuriumque humanorum doctori-<lb/>bus & </s> <s xml:id="echoid-s5494" xml:space="preserve">à maximis Philoſophis, efficacißimis <lb/>teſtimonijs improbatam, imo & </s> <s xml:id="echoid-s5495" xml:space="preserve">quandoque <lb/>ab hoc collegio noſtro damnatam viderimus. <lb/></s> <s xml:id="echoid-s5496" xml:space="preserve">Nos etiam ipſi eorum veſtigia ſequuti, dam-<lb/>nauimus atque damnamus, dicentes & </s> <s xml:id="echoid-s5497" xml:space="preserve">do-<lb/>ctrinaliter declarantes neminem Chriſtianũ <lb/>abſque mortalis peccati periculo ea arte vti <lb/>poſſe. </s> <s xml:id="echoid-s5498" xml:space="preserve">Datum & </s> <s xml:id="echoid-s5499" xml:space="preserve">actum in noſtra congrega-<lb/>tione generali, apud Sanctum Mathurinum, <lb/>Pariſius de mane, ſuper bo@ ſpecialiterper iu-<lb/>ramentum congregata, anno Domini 1493. </s> <s xml:id="echoid-s5500" xml:space="preserve"><lb/>die decima nona Februarij.</s> <s xml:id="echoid-s5501" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5502" xml:space="preserve">Sur laquelle cenſure ledit Maiſtre <lb/>Simon Phares fut debouté de ſon ap-<lb/>pel & </s> <s xml:id="echoid-s5503" xml:space="preserve">r’enuoyé pardeuant l’Official de <lb/>Lion, pour luy eſtre ſon procés faict & </s> <s xml:id="echoid-s5504" xml:space="preserve"><lb/>parfaict.</s> <s xml:id="echoid-s5505" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5506" xml:space="preserve">Et quand eſt de ce qu’alleguent cou-<lb/>ſtumierement ceux qui ſe meſlent de <lb/>ladicte profeſſion, qu’ils n’entendent <pb o="31" file="00414" n="413" rhead="Preludes de l’ Harmoniè."/> pas que leſdites influences & </s> <s xml:id="echoid-s5507" xml:space="preserve">conſtella-<lb/>tions ayent pouuoir de forcer & </s> <s xml:id="echoid-s5508" xml:space="preserve">con-<lb/>traindre les hõmes auſdits euenemens, <lb/>mais que ſeulemĕt elles les y enclinent <lb/>& </s> <s xml:id="echoid-s5509" xml:space="preserve">induiſent. </s> <s xml:id="echoid-s5510" xml:space="preserve">Nous répondons premie-<lb/>rement que c’eſt vn erreur de penſer <lb/>que les Aſtres ayent en ſoy la force d’ĕ-<lb/>cliner directement la volonté des hom-<lb/>mes, de laquelle, comme nous auons <lb/>dit, depĕdent leſdits euenemens: </s> <s xml:id="echoid-s5511" xml:space="preserve">pour-<lb/>ce qu’il ny a que Dieu ſeul qui le puiſſe: <lb/></s> <s xml:id="echoid-s5512" xml:space="preserve">& </s> <s xml:id="echoid-s5513" xml:space="preserve">de faict il n’agit point autrement ſur <lb/>la volonté que par induction ou incli-<lb/>nation, ſoit efficiente, ſoit objectiue, ne <lb/>la forçant aucunement, ains la laiſſant <lb/>comme dit le Sage, in manu conſilij ſui. </s> <s xml:id="echoid-s5514" xml:space="preserve"><lb/>Secondement, encore qu’on pourroit <lb/>dire que les Aſtres nous induiſent & </s> <s xml:id="echoid-s5515" xml:space="preserve"><lb/>enclinent par accidĕt, & </s> <s xml:id="echoid-s5516" xml:space="preserve">indirectemĕt, <lb/>cauſans par leurs influences diuerſes <lb/>diſpoſitions en nos corps, leſquelles in-<lb/>duiſent la volonté à certaines choſes, <lb/>neãtmoins c’eſt vn abus du tout inſup-<lb/>portable, de donner pour cela aſſeuran-<lb/>ce deſdits euenemens: </s> <s xml:id="echoid-s5517" xml:space="preserve">comme par exĕ-<lb/>ple, de predire aux vns qu’ils ſeront ri-<lb/>ches, aux autres qu’ils paruiendront à <lb/>de grands honneurs, ou qu’ils mouront <pb o="32" file="00415" n="414" rhead="Preludes de l’ Harmonie."/> d’vne telle ma niere, ou épouſeront vne <lb/>telle femme, pource que ces choſes & </s> <s xml:id="echoid-s5518" xml:space="preserve"><lb/>autres ſemblables dependent de bien <lb/>d’autres cauſes que deſdites conſtella-<lb/>tions, comme il eſt aſſez notoire. </s> <s xml:id="echoid-s5519" xml:space="preserve">De <lb/>ſorte, que ſi l’on peut par leſdits Horoſ-<lb/>copes & </s> <s xml:id="echoid-s5520" xml:space="preserve">conſtellations, porter quelque <lb/>iugement (lequel eſt touſiours fort mal <lb/>aſſeuré) ce n’eſt ſinõ que des humeur, <lb/>& </s> <s xml:id="echoid-s5521" xml:space="preserve">complexions corporelles: </s> <s xml:id="echoid-s5522" xml:space="preserve">que ſi l’on <lb/>veut paſſer plus outre, & </s> <s xml:id="echoid-s5523" xml:space="preserve">en donner aſ-<lb/>ſeurance, c’eſt choſe ſuperſticieuſe, dia-<lb/>bolique, & </s> <s xml:id="echoid-s5524" xml:space="preserve">qui doit eſtre ſeuerement <lb/>punie par les Magiſtrats, & </s> <s xml:id="echoid-s5525" xml:space="preserve">ce d’autant <lb/>plus qu’aujourd’huy nous voyons ce <lb/>mal en grande vogue: </s> <s xml:id="echoid-s5526" xml:space="preserve">teſmoin qu’il ne <lb/>ſe publie à preſent aucun Almanach, <lb/>qu’il n’y aye à la fin de tous les quartiers <lb/>de Lune, de ces ſortes de prognoſtics, <lb/>qui ſont choſes abominables, & </s> <s xml:id="echoid-s5527" xml:space="preserve">d’où il <lb/>peut arriuer de grands maux en la Re-<lb/>publique. </s> <s xml:id="echoid-s5528" xml:space="preserve">Pour les peines de ceux qui <lb/>exercent ladite profeſſion, elles ſont de <lb/>deux ſortes, canoniques, & </s> <s xml:id="echoid-s5529" xml:space="preserve">ciniles: </s> <s xml:id="echoid-s5530" xml:space="preserve">les <lb/>canoniques ſont ſpecifiees, 26. </s> <s xml:id="echoid-s5531" xml:space="preserve">quæst. </s> <s xml:id="echoid-s5532" xml:space="preserve">5. <lb/></s> <s xml:id="echoid-s5533" xml:space="preserve">per totam. </s> <s xml:id="echoid-s5534" xml:space="preserve">ou l’excommunication eſt de-<lb/>cernée contre telles perſonnes, & </s> <s xml:id="echoid-s5535" xml:space="preserve">de <lb/>fait Sainct Epiphane au liure de ponde- <pb o="33" file="00416" n="415" rhead="Preludes de l’ Harmoniè."/> ribus & </s> <s xml:id="echoid-s5536" xml:space="preserve">menſuris, rapporte qu’en la pri-<lb/>mitiue Egliſe, Aquila Ponticus, enco-<lb/>re que d’ailleurs il fut bien merité des <lb/>Chreſtiens, fut neantmoins excom-<lb/>munié, & </s> <s xml:id="echoid-s5537" xml:space="preserve">mis hors l’Egliſe. </s> <s xml:id="echoid-s5538" xml:space="preserve">Pour les <lb/>ciuiles elles ſont inſerées 1. </s> <s xml:id="echoid-s5539" xml:space="preserve">2. </s> <s xml:id="echoid-s5540" xml:space="preserve">C. </s> <s xml:id="echoid-s5541" xml:space="preserve">de ma-<lb/>leficis & </s> <s xml:id="echoid-s5542" xml:space="preserve">mathematicis, l. </s> <s xml:id="echoid-s5543" xml:space="preserve">mathematicos, C. <lb/></s> <s xml:id="echoid-s5544" xml:space="preserve">de Epiſcopali audientia, où il eſt dit notã-<lb/>mĕt que telles perſonnes doiuent eſtre <lb/>bannis, & </s> <s xml:id="echoid-s5545" xml:space="preserve">de plus l. </s> <s xml:id="echoid-s5546" xml:space="preserve">5. </s> <s xml:id="echoid-s5547" xml:space="preserve">C. </s> <s xml:id="echoid-s5548" xml:space="preserve">de malef. </s> <s xml:id="echoid-s5549" xml:space="preserve">& </s> <s xml:id="echoid-s5550" xml:space="preserve">ma-<lb/>themat. </s> <s xml:id="echoid-s5551" xml:space="preserve">elles ſont puniſſables de mort. </s> <s xml:id="echoid-s5552" xml:space="preserve"><lb/><emph style="sc">Faict</emph> à Paris, ce 22. </s> <s xml:id="echoid-s5553" xml:space="preserve">de May, 1619.</s> <s xml:id="echoid-s5554" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5555" xml:space="preserve">Ainſi ſigné, A. </s> <s xml:id="echoid-s5556" xml:space="preserve"><emph style="sc">Dv</emph> <emph style="sc">Val</emph>.</s> <s xml:id="echoid-s5557" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5558" xml:space="preserve"><emph style="sc">Ph</emph>. </s> <s xml:id="echoid-s5559" xml:space="preserve"><emph style="sc">De</emph> <emph style="sc">Gamaches</emph>. <lb/></s> <s xml:id="echoid-s5560" xml:space="preserve">N. </s> <s xml:id="echoid-s5561" xml:space="preserve"><emph style="sc">Ysambert</emph>.</s> <s xml:id="echoid-s5562" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div179" type="section" level="1" n="143"> <head xml:id="echoid-head234" xml:space="preserve">COROLLAIRE. II.</head> <p> <s xml:id="echoid-s5563" xml:space="preserve">Puiſque i’ay entrepris de parler de <lb/>toutes les principales difficultez de la <lb/>Muſique par raiſon, pluſtoſt que par <lb/>l’authorité des hõmes, quoi que ie la re-<lb/>çoiue, lors qu’elle eſt accompagnée de <lb/>demonſtration il faut examiner les fon-<lb/>demens, & </s> <s xml:id="echoid-s5564" xml:space="preserve">les maximes de la Iudiciai-<lb/>re, & </s> <s xml:id="echoid-s5565" xml:space="preserve">monſtrer euidemment qu’elles <pb o="34" file="00417" n="416" rhead="Preludes de l’ Harmoniè."/> n’ont nulle apparĕce de verité, ny meſ-<lb/>me de vraye ſemblance: </s> <s xml:id="echoid-s5566" xml:space="preserve">ce que ie fais <lb/>dans les 8. </s> <s xml:id="echoid-s5567" xml:space="preserve">Propoſitions qui ſuiuent, <lb/>par leſquelles l’on verra que l’Egliſe, & </s> <s xml:id="echoid-s5568" xml:space="preserve"><lb/>ſes Docteurs ont droit de la condam-<lb/>ner, & </s> <s xml:id="echoid-s5569" xml:space="preserve">d’en deffendre les liures, & </s> <s xml:id="echoid-s5570" xml:space="preserve">l’v-<lb/>ſage.</s> <s xml:id="echoid-s5571" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div180" type="section" level="1" n="144"> <head xml:id="echoid-head235" xml:space="preserve">QVESTION II.</head> <head xml:id="echoid-head236" style="it" xml:space="preserve">Dans laquelle tous les principes de l’ Aſtrolo-<lb/>gie Iudiciairt ſont examinez.</head> <p> <s xml:id="echoid-s5572" xml:space="preserve"><emph style="bf">C</emph>Ette queſtion contient cinq pro-<lb/>poſitions, dans leſquelles on ver-<lb/>ra clairement l’incertitude de l’Aſtro-<lb/>logie Iudiciaire, & </s> <s xml:id="echoid-s5573" xml:space="preserve">tout ce qui luy ap-<lb/>partient, c’eſt pourquoy ie ne fais point <lb/>icy de preambule, afin que l’on ne liſe <lb/>rien qui ne ſoit vtile.</s> <s xml:id="echoid-s5574" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div181" type="section" level="1" n="145"> <head xml:id="echoid-head237" xml:space="preserve"><emph style="sc">Proposition</emph> I.</head> <head xml:id="echoid-head238" style="it" xml:space="preserve">Qu’il ny a point de certitude dans les Horoſ-<lb/>copes precedents, & que l’on ne peut rien <lb/>predire de la perfection d’vn Muſicien par <lb/>la conſtitution des cieux.</head> <p> <s xml:id="echoid-s5575" xml:space="preserve"><emph style="bf">I</emph>L y a ſi peu de choſes certaines dans <lb/>l’Aſtrologie Iudiciaire, qu’il n’eſt pas <pb o="35" file="00418" n="417" rhead="Preludes de l’ Harmoniè."/> poſſible d’aſſoir ſon iugement ſur ce <lb/>que l’on en peut coniecturer ſuiuant les <lb/>regles, & </s> <s xml:id="echoid-s5576" xml:space="preserve">les preceptes que les Arabes, <lb/>les Grecs, & </s> <s xml:id="echoid-s5577" xml:space="preserve">les Latins ont donné: </s> <s xml:id="echoid-s5578" xml:space="preserve">Car <lb/>ſi nous oſtons les principes qu’ elle prĕd <lb/>de l’Aſtronomie, à peine pourra t’elle <lb/>eſtablir aucune maxime particuliere: <lb/></s> <s xml:id="echoid-s5579" xml:space="preserve">ce que ie feray voir clairement, apres <lb/>auoir ſuppoſé ce qu’elle emprunte des <lb/>obſeruations, & </s> <s xml:id="echoid-s5580" xml:space="preserve">des Phenomenes de <lb/>l’Aſtronomie.</s> <s xml:id="echoid-s5581" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5582" xml:space="preserve">Premierement, elle ſuppoſe que le <lb/>Ciel eſt diuiſé en 12. </s> <s xml:id="echoid-s5583" xml:space="preserve">parties, qu’elle ap-<lb/>pelle maisõs, ou domiciles, & </s> <s xml:id="echoid-s5584" xml:space="preserve">que l’ho-<lb/>rizon coupe le Ciel en deux Hemiſphe-<lb/>res égaux, auſſi bien que le Meridien, <lb/>qui le diuiſe en la partie Orientale qui <lb/>monte, & </s> <s xml:id="echoid-s5585" xml:space="preserve">en l’Occidentale qui deſcét: <lb/></s> <s xml:id="echoid-s5586" xml:space="preserve">de maniere que ces deux cercles diui-<lb/>ſent le Ciel en 4. </s> <s xml:id="echoid-s5587" xml:space="preserve">parties égales.</s> <s xml:id="echoid-s5588" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5589" xml:space="preserve">Secondement, qu’il y a 48. </s> <s xml:id="echoid-s5590" xml:space="preserve">conſtella-<lb/>tions, à ſçauoir, douze dans le Zodia-<lb/>que, qui ſe diuiſent en ſix ſignes Septĕ-<lb/>trionaux, à ſçauoir le Belier, le Taureau, <lb/>les II, l’Ecreuiſſe, le Lion, & </s> <s xml:id="echoid-s5591" xml:space="preserve">la ♍, qui <lb/>ſont vers le pole Arctique: </s> <s xml:id="echoid-s5592" xml:space="preserve">& </s> <s xml:id="echoid-s5593" xml:space="preserve">en ſix <lb/>Moridionaux, à ſçauoir, ♎, le Scor-<lb/>piõ, le Sagittaire, le Capricorne, le Ver- <pb o="36" file="00419" n="418" rhead="Preludes de l’ Harmoniè."/> ſeau, & </s> <s xml:id="echoid-s5594" xml:space="preserve">les Poiſſons; </s> <s xml:id="echoid-s5595" xml:space="preserve">qu’il y en a ſix auec <lb/>leſquels la plus grande partie de l’é-<lb/>quateur monte ſur noſtre horizon, & </s> <s xml:id="echoid-s5596" xml:space="preserve"><lb/>qui ont leur aſcenſion droite, à ſçauoir, <lb/>l’Ecreuiſſe, le Lion, ♍, ♎, le Scorpiõ, <lb/>le Sagittaire, & </s> <s xml:id="echoid-s5597" xml:space="preserve">ſix autres qui montent <lb/>obliquement, à ſçauoir, le Capricorne, <lb/>le Verſeau, les Poiſsõs, le Belier, le Tau-<lb/>reau & </s> <s xml:id="echoid-s5598" xml:space="preserve">les II, auec leſquels la moindre <lb/>partie de l’équinoctial monte ſur l’hori-<lb/>zon. </s> <s xml:id="echoid-s5599" xml:space="preserve">Mais les autres diuiſions n’ont que <lb/>l’imagination pour leur fondement, cõ-<lb/>me celles des ſignes en mâles & </s> <s xml:id="echoid-s5600" xml:space="preserve">femelles, <lb/>ou en maſculins & </s> <s xml:id="echoid-s5601" xml:space="preserve">feminins, qu’ils appel-<lb/>lent diurnes, & </s> <s xml:id="echoid-s5602" xml:space="preserve">nocturnes: </s> <s xml:id="echoid-s5603" xml:space="preserve">en ſignes com-<lb/>mendans, ou Scptentrionaux, & </s> <s xml:id="echoid-s5604" xml:space="preserve">obeiſſans, <lb/>ou Meridionaux: </s> <s xml:id="echoid-s5605" xml:space="preserve">en beaux, & </s> <s xml:id="echoid-s5606" xml:space="preserve">laids, fecõs, <lb/>& </s> <s xml:id="echoid-s5607" xml:space="preserve">ſteriles, raiſonnables, parlants, & </s> <s xml:id="echoid-s5608" xml:space="preserve">muets, <lb/>gras, & </s> <s xml:id="echoid-s5609" xml:space="preserve">maigres, Philoſophes, & </s> <s xml:id="echoid-s5610" xml:space="preserve">Muſiciens, <lb/>vicieux, & </s> <s xml:id="echoid-s5611" xml:space="preserve">vertueux, & </s> <s xml:id="echoid-s5612" xml:space="preserve">c. </s> <s xml:id="echoid-s5613" xml:space="preserve">qu’ils font pre-<lb/>ſider à chaque partie du corps: </s> <s xml:id="echoid-s5614" xml:space="preserve">Car <lb/>l’experience fait voir qu’vn homme <lb/>ſtupide & </s> <s xml:id="echoid-s5615" xml:space="preserve">lourd naiſt ſouuent ſouz vn <lb/>ſigne de bon eſprit, & </s> <s xml:id="echoid-s5616" xml:space="preserve">il ny a pas plus de <lb/>raiſon pourquoy le Belier preſide à la <lb/>teſte, qu’aux mains, ou aux pieds: </s> <s xml:id="echoid-s5617" xml:space="preserve">ny <lb/>pourquoy Capricorne preſide pluſtoſt <lb/>aux iarets, qu’aux bras: </s> <s xml:id="echoid-s5618" xml:space="preserve">pourquoy ♄ ſe <pb o="37" file="00420" n="419" rhead="Preludes de l’ Harmonie."/> réjoüiſt pluſtoſt dans le Verſeau, ♂ en <lb/>Capricorne, ☉ dans la queuë du Dra-<lb/>gon, ♀ dans le Taureau, ☿ dans ♍, & </s> <s xml:id="echoid-s5619" xml:space="preserve"><lb/>☾ dans l’Ecreuiſſe, qu’en quelqu’autre <lb/>ſigne. </s> <s xml:id="echoid-s5620" xml:space="preserve">Il ny a point auſſi de raiſon <lb/>en ce qu’ils diſent de la cheute, & </s> <s xml:id="echoid-s5621" xml:space="preserve"><lb/>de l’exaltation des maiſons, & </s> <s xml:id="echoid-s5622" xml:space="preserve">de <lb/>toutes les autres choſes, qui ſont ſem-<lb/>blables aux fables, & </s> <s xml:id="echoid-s5623" xml:space="preserve">qui ont eſté in-<lb/>uentées par les Caldées, les Arabes, les <lb/>Grecs, & </s> <s xml:id="echoid-s5624" xml:space="preserve">pluſieurs autres, ſans aucune <lb/>demonſtration: </s> <s xml:id="echoid-s5625" xml:space="preserve">C’eſt pourquoy nous <lb/>ne rencontrons point d’excellent Ma-<lb/>thematicien, qui ne ſe mocque de tout <lb/>ce que les Aſtrologues diſent des dou-<lb/>ze maiſons du Ciel.</s> <s xml:id="echoid-s5626" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5627" xml:space="preserve">Ie ne veux pas nier que les alteratiõs, <lb/>& </s> <s xml:id="echoid-s5628" xml:space="preserve">les generations ſublunaires ne dé-<lb/>pendent en quelque façon de l’in fluen-<lb/>ce des Aſtres; </s> <s xml:id="echoid-s5629" xml:space="preserve">mais ils ne ſçauroient <lb/>demonſtrer que telle, ou telle partie du <lb/>Ciel donne la vie, vn autre l’accroiſſan-<lb/>ce, la perfection, la domination, & </s> <s xml:id="echoid-s5630" xml:space="preserve">puis <lb/>la mort: </s> <s xml:id="echoid-s5631" xml:space="preserve">Car pourquoy la partie Orien-<lb/>tale preſide-t’elle pluſtoſt à la naiſſan-<lb/>ce, qu’à la vigueur: </s> <s xml:id="echoid-s5632" xml:space="preserve">pourquoy la Meri-<lb/>dionale preſide-t’elle aux honneurs, & </s> <s xml:id="echoid-s5633" xml:space="preserve"><lb/>l’Occi’dentale à la mort? </s> <s xml:id="echoid-s5634" xml:space="preserve">Il faudroit <pb o="38" file="00421" n="420" rhead="Preludes de l Harmonie."/> qu’ils montraſſent que perſonne ne <lb/>meurt, quand la meſme partie Orien-<lb/>tale qui s’eſt trouuée à la naiſſance, mõ-<lb/>te ſur l’horizon: </s> <s xml:id="echoid-s5635" xml:space="preserve">Et que chacun meurt, <lb/>quand la partie nocturne de minuit, <lb/>qu’ils appellent In un. </s> <s xml:id="echoid-s5636" xml:space="preserve">cæli, ſe trouue au <lb/>meſme lieu, où elle eſtoit lors de la na-<lb/>tiuité; </s> <s xml:id="echoid-s5637" xml:space="preserve">ce qu’ils ne fero@t iama’s: </s> <s xml:id="echoid-s5638" xml:space="preserve">Or ie <lb/>veux faire voir que tout ce que diſent <lb/>les plus ſçauans d’ĕtr’eux pour eſtabhr <lb/>les 12. </s> <s xml:id="echoid-s5639" xml:space="preserve">maiſons de l’Horoſcope, n’a nul <lb/>fondement aſſeuré, afin que le parfaict <lb/>Muſicien connoiſſe les erreurs de l’A-<lb/>ſtrologie, & </s> <s xml:id="echoid-s5640" xml:space="preserve">les puiſſe combatre quand <lb/>il luy plaira: </s> <s xml:id="echoid-s5641" xml:space="preserve">Mais afin que l’on entende <lb/>les diſcours qui ſuiuent, ie mets icy la <lb/>figure de ces douze maiſons, dont l’or-<lb/>dre eſt marqué par nombres.</s> <s xml:id="echoid-s5642" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div182" type="section" level="1" n="146"> <head xml:id="echoid-head239" xml:space="preserve"><emph style="sc">Proposition</emph> II.</head> <head xml:id="echoid-head240" style="it" xml:space="preserve">Les trois maiſons de la premiere triplicité ne <lb/>ſont eſtablies par aucune demonſtration, <lb/>ou rai, on qui pu ſſe perſuader la verité de <lb/>ce que les Aſtrologues diſent de ces treis <lb/>domiciles.</head> <p> <s xml:id="echoid-s5643" xml:space="preserve"><emph style="bf">I</emph>L faut premierement ſuppoſer quo <lb/>le Ciel eſt diuiſé en douze parties, <pb o="39" file="00422" n="421" rhead="Preludes de l’ Harmonie."/> qu’ils appellent maiſons, par l’interſe-<lb/>ction de l’horizon, & </s> <s xml:id="echoid-s5644" xml:space="preserve">du Meridien, qui <lb/>coupent l’équinoctial en douze parties <lb/>égales, dont celle qui eſt du coſté d’O-<lb/>rient eſt appellée premiere maiſon, ou <lb/>l’Horoſcope, par excellence: </s> <s xml:id="echoid-s5645" xml:space="preserve">parce que, <lb/>diſent ils, cette partie eſt la plus puiſ-<lb/>ſante pour agir ſur ceux qui naiſſent: <lb/></s> <s xml:id="echoid-s5646" xml:space="preserve">Ce qui ne peut pas eſtre; </s> <s xml:id="echoid-s5647" xml:space="preserve">car cette <lb/>partie bat l’horizon trop obliquement; </s> <s xml:id="echoid-s5648" xml:space="preserve"><lb/>Et il ſeroit plus à propos de dire que la <lb/>partie culminante du Ciel eſt la plus <lb/>puiſſante, puis qu’elle enuove ſes in-<lb/>fluences, & </s> <s xml:id="echoid-s5649" xml:space="preserve">ſes rayons plus perpendi-<lb/>culairement, & </s> <s xml:id="echoid-s5650" xml:space="preserve">qu’elle eſt plus pro-<lb/>che de celuy qui naiſt, que n’eſt la par-<lb/>tie Orientale: </s> <s xml:id="echoid-s5651" xml:space="preserve">autrement il faut nier <lb/>que les cauſes naturelles agiſsĕt mieux, <lb/>& </s> <s xml:id="echoid-s5652" xml:space="preserve">plus fort par vne ligne plus courte, & </s> <s xml:id="echoid-s5653" xml:space="preserve"><lb/>plus perpendiculaire, que par vne plus <lb/>longue, & </s> <s xml:id="echoid-s5654" xml:space="preserve">plus oblique, & </s> <s xml:id="echoid-s5655" xml:space="preserve">démentir <lb/>toutes les experiences du Ciel & </s> <s xml:id="echoid-s5656" xml:space="preserve">de la <lb/>terre: </s> <s xml:id="echoid-s5657" xml:space="preserve">D’où il s’enſuit que cette premie-<lb/>re maiſon eft la plus foible des ſix qui <lb/>ſont ſur l’horizon, car outre ce que i’ay <lb/>dit, elle eſt touſiours empeſchée par les <lb/>vapeurs qui ſe leuent vers l’Orient, & </s> <s xml:id="echoid-s5658" xml:space="preserve"><lb/>qui ſont ſi fortes, & </s> <s xml:id="echoid-s5659" xml:space="preserve">ſi groſſieres, qu’el- <pb o="40" file="00423" n="422" rhead="Preludes de l’ Harmonie."/> les empeſchent la lumiere du Soleil: <lb/></s> <s xml:id="echoid-s5660" xml:space="preserve">Delà vient que l’on ne peut allumer du <lb/>feu auec vn miroir concaue au matin, <lb/>lequel neantmoins bruſle, & </s> <s xml:id="echoid-s5661" xml:space="preserve">allume, <lb/>ou fond ce que l’on met deuant, non <lb/>ſeulement à midy, mais auſſi ſur le ſoir, <lb/>encore que le Soleil ne ſoit pas plus <lb/>hautiur l’horizon, qu’il eſtoit au matin, <lb/>parce que les vapeurs ne sõt pas ſi groſ-<lb/>ſieres. </s> <s xml:id="echoid-s5662" xml:space="preserve">Or ſi le Soleil, qui eſt le Prince <lb/>des Aſtres, & </s> <s xml:id="echoid-s5663" xml:space="preserve">la plus excellente, & </s> <s xml:id="echoid-s5664" xml:space="preserve">plus <lb/>puiſſante partie du Ciel, a ſi peu de for-<lb/>ce a ſon leuer, qu’il n’agit iamais plus <lb/>foiblement eſtãt ſur l’horizon, ne faut-<lb/>il pas conclure la meſme choſe des au. </s> <s xml:id="echoid-s5665" xml:space="preserve"><lb/>tres planettes, des Aſtres, & </s> <s xml:id="echoid-s5666" xml:space="preserve">des parties <lb/>des cieux qui ſont à l’Orient. </s> <s xml:id="echoid-s5667" xml:space="preserve">Car les <lb/>Aſtrologues ne peuuent dire auec rai-<lb/>ſon que telles parties agiſſent plus puiſ-<lb/>ſamment, ou plus ſubtilement que le <lb/>Soleil, ny ayant rien plus ſubtil, ny plus <lb/>puiſſant que ſa lumiere dans toute l’e-<lb/>ſtenduë de la nature corporelle.</s> <s xml:id="echoid-s5668" xml:space="preserve"/> </p> <pb o="41" file="00424" n="423" rhead="Preludes de l’ Harmonie."/> <figure> <image file="00424-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00424-01"/> </figure> <p> <s xml:id="echoid-s5669" xml:space="preserve">Les deux autres maiſons de cette pre-<lb/>miere triplicité ne ſont pas mieux eſta-<lb/>blies que la premiere, puis qu’elles en <lb/>dependent, & </s> <s xml:id="echoid-s5670" xml:space="preserve">qu’elles font vn triangle <lb/>équilateral auec elle: </s> <s xml:id="echoid-s5671" xml:space="preserve">Mais pour mieux <lb/>entendre cecy il faut rematquer qu’ils <lb/>mettent quatre angles, ou principales <lb/>parties au Ciel, & </s> <s xml:id="echoid-s5672" xml:space="preserve">qu’ils donnent vne <lb/>triplicité à chacune, afin que le Ternai-<lb/>re, qui repreſente la Trinité, multipliãt <lb/>le quaternaire, qui repreſente les crea-<lb/>tures, produiſe douze, pour les douze <lb/>maiſons, qui ont cinq aſpects influants, <pb o="42" file="00425" n="424" rhead="Preludes de l’ Harmonie."/> à ſçauoir, la conionction, le ſextil, le <lb/>trin, le quadrat & </s> <s xml:id="echoid-s5673" xml:space="preserve">l’oppoſition, qui ſont <lb/>marquez par ces characteres *** <lb/>, *** <lb/>, <lb/>*** <lb/>, ◻, *** <lb/>, ou par 1. </s> <s xml:id="echoid-s5674" xml:space="preserve">2. </s> <s xml:id="echoid-s5675" xml:space="preserve">3. </s> <s xml:id="echoid-s5676" xml:space="preserve">4. </s> <s xml:id="echoid-s5677" xml:space="preserve">5. </s> <s xml:id="echoid-s5678" xml:space="preserve">l’vnité <lb/>repreſentant l’vnion, ou la cõionction: <lb/></s> <s xml:id="echoid-s5679" xml:space="preserve">le binaire, le ſextil, ou l’hexagone, qui <lb/>comprend deux ſignes, on la ſixieſme <lb/>partie du Ciel: </s> <s xml:id="echoid-s5680" xml:space="preserve">le ternaire, l’aſpect trin, <lb/>ou le trigone, qui contient la quatrieſ-<lb/>me partie du Ciel, ou trois ſignes: </s> <s xml:id="echoid-s5681" xml:space="preserve">le <lb/>quaternaire, le quadrat, ou letetrago-<lb/>ne, qui cõprent quatre ſignes, & </s> <s xml:id="echoid-s5682" xml:space="preserve">la troi-<lb/>ſieſme partie du Ciel; </s> <s xml:id="echoid-s5683" xml:space="preserve">& </s> <s xml:id="echoid-s5684" xml:space="preserve">le ſenaire, l’aſ-<lb/>pect oppoſé, qui contient ſix ſignes, ou <lb/>la moitié du Ciel.</s> <s xml:id="echoid-s5685" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5686" xml:space="preserve">Or ils diſtinguĕt quatre points prin-<lb/>cipaux, qu’ils appellent angles, afin que <lb/>les quatre points, ou parties de la vie, à <lb/>ſçauoir l’enfance, la ieuneſſe, l’âge vi-<lb/>ril, & </s> <s xml:id="echoid-s5687" xml:space="preserve">la vieilleſſe, qui répondent au <lb/>commencement, au progrez, à la force, <lb/>& </s> <s xml:id="echoid-s5688" xml:space="preserve">au declin des autres corps ſuiets à <lb/>corruption, ſoient gouuernez par les <lb/>Aſtres, & </s> <s xml:id="echoid-s5689" xml:space="preserve">par les domiciles de l’Horoſ-<lb/>cope.</s> <s xml:id="echoid-s5690" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5691" xml:space="preserve">C’eſt pourquoy ils donnent trois mai-<lb/>ſons à la premicre triplicité pour les <lb/>trois genres de vie que l’homme peut <pb o="43" file="00426" n="425" rhead="Preludes de l’Harmonie."/> auoir en ce monde, dont la premiere <lb/>eſt la vic naturelle, qui eſt gouuernée pat <lb/>l Horoſcope, c’ eſt à dire, par la premie-<lb/>re maiſon, qui eſtablit le premier angle <lb/>de l’Orient: </s> <s xml:id="echoid-s5692" xml:space="preserve">la ſeconde vie eſt la ſpiri-<lb/>tuelle, qui regarde Dieu, & </s> <s xml:id="echoid-s5693" xml:space="preserve">la Religion, <lb/>dont ils iugent par la neufieſme maisõ: <lb/></s> <s xml:id="echoid-s5694" xml:space="preserve">& </s> <s xml:id="echoid-s5695" xml:space="preserve">la troiſieſme vie eſt la repreſentatiue, <lb/>qui fait reuiure les parens en leurs en-<lb/>fans, & </s> <s xml:id="echoid-s5696" xml:space="preserve">en leurs heritiers, dans leſquels <lb/>il ſemble que leur vie eſt conſeruée, <lb/>puis que le fils repreſente le pere apres <lb/>ſa mort: </s> <s xml:id="echoid-s5697" xml:space="preserve">Or ils iugent de cette vie par <lb/>la cinquieſme maiſon, car ces trois mai-<lb/>ſons, à ſçauoir, la premiere, la neufieſ-<lb/>me, & </s> <s xml:id="echoid-s5698" xml:space="preserve">la cinquieſme, font vn triangle <lb/>equilateral pour la premiere triplicité <lb/>de l’Horoſcope Ils appellent cet aſ-<lb/>pect trin, l’aſpect de parfaite amitié.</s> <s xml:id="echoid-s5699" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5700" xml:space="preserve">Ils veulent auſſi que l’on entre de la <lb/>neufieſme maiſon en la 8. </s> <s xml:id="echoid-s5701" xml:space="preserve">qui repreſen-<lb/>te la mort naturelle, dautant que la vie <lb/>ſpirituelle, qui nous donne l’eſperance <lb/>d’vne meilleure vie, nous doit ſeruir de <lb/>preparation pour attendre la more cor-<lb/>porelle: </s> <s xml:id="echoid-s5702" xml:space="preserve">Mais ie ne voy nulle raiſon qui <lb/>perſuade que cette premiere triplicité <lb/>ſoit biĕ eſtablie, car il ſeroit plus à pro- <pb o="44" file="00427" n="426" rhead="Preludes de l’Harmonie."/> pos de faire que les trois ſignes d’vne <lb/>meſme triplicité peuſsĕt enuoyer leurs <lb/>rayons, & </s> <s xml:id="echoid-s5703" xml:space="preserve">leurs influences ſur vn meſ-<lb/>me corps en meſme moment: </s> <s xml:id="echoid-s5704" xml:space="preserve">Ce qui <lb/>ne peut arriuer, dautant que la terre <lb/>empeſchera touſiours les rayons de la <lb/>cinquieſme maiſon, quand la premie-<lb/>re, & </s> <s xml:id="echoid-s5705" xml:space="preserve">la neufieſme ſeront ſur l’horizon, <lb/>car il n’y a pas moien de voir ces trois <lb/>maiſons en meſme moment, encore <lb/>qu’on fuſt monté ſur le Caucaſe, ſur le <lb/>Liban, ou ſur la plus haute montagne <lb/>de la terre.</s> <s xml:id="echoid-s5706" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5707" xml:space="preserve">Ils pourroient répondre qu’il ſe peut <lb/>faire quelque reflexion premiere, ou ſe-<lb/>conde de ces trois points, ou de ces trois <lb/>maiſons les vnes aux autres; </s> <s xml:id="echoid-s5708" xml:space="preserve">mais cette <lb/>reſponce eſt ſi foible qu’elle ſe renuerſe <lb/>aſſez de ſoy meſme: </s> <s xml:id="echoid-s5709" xml:space="preserve">C’eſt pourquoy ie <lb/>paſſe outre iuſques à ce qu’ils ayent <lb/>trouué quelques meilleures raiſons <lb/>pour deffendre cette triplicité.</s> <s xml:id="echoid-s5710" xml:space="preserve"/> </p> <pb o="45" file="00428" n="427" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div183" type="section" level="1" n="147"> <head xml:id="echoid-head241" xml:space="preserve"><emph style="sc">Proposition</emph> III.</head> <head xml:id="echoid-head242" style="it" xml:space="preserve">La ſeconde, latroiſieſme, & la quatrieſme tri-<lb/>plicité ne ſont pas mieux eſtablies <lb/>que la premiere.</head> <p> <s xml:id="echoid-s5711" xml:space="preserve">IL eſt facile d’appliquer aux trois au-<lb/>tres triplicitez, ce que nous auons <lb/>dit de la premiere, car l’angle du milieu <lb/>du Ciel, qu’ils attribuent au lucre, & </s> <s xml:id="echoid-s5712" xml:space="preserve"><lb/>aux autres eſpeces de biens, à la jeuneſ-<lb/>ſe, & </s> <s xml:id="echoid-s5713" xml:space="preserve">à l’action, n’a pas plus de correſ-<lb/>pondance auec la ſeconde, & </s> <s xml:id="echoid-s5714" xml:space="preserve">la ſixieſ-<lb/>me maiſon, qui font la ſeconde tripli-<lb/>cité, que la premiere maiſon auec la <lb/>cinquieſme, & </s> <s xml:id="echoid-s5715" xml:space="preserve">la neufieſme. </s> <s xml:id="echoid-s5716" xml:space="preserve">Or il fau-<lb/>droit premieremĕt demonſtrer que les <lb/>honneurs & </s> <s xml:id="echoid-s5717" xml:space="preserve">les dignitez appartiĕnent <lb/>à la dixieſme maiſon, les beſtes & </s> <s xml:id="echoid-s5718" xml:space="preserve">les <lb/>ſeruiteurs à la ſixieſme, & </s> <s xml:id="echoid-s5719" xml:space="preserve">l’or & </s> <s xml:id="echoid-s5720" xml:space="preserve">l’ar-<lb/>gent à la deuxieſme, qui ſont les trois <lb/>ſortes de biens qu’ils eſtabliſſent, com-<lb/>me ils auoient fait trois ſortes de vies, <lb/>auant que de nous obliger à croire ce <lb/>qu’ils diſent de cette ſeconde triplicité. <lb/></s> <s xml:id="echoid-s5721" xml:space="preserve">Mais ie ne me peux perſuader que Dieu <pb o="46" file="00429" n="428" rhead="Preludes de l’Harmonie."/> ait eu ce deſſein, quand il a creé les <lb/>Aſtres; </s> <s xml:id="echoid-s5722" xml:space="preserve">& </s> <s xml:id="echoid-s5723" xml:space="preserve">croy que plus on s’efforçera <lb/>d’établir les douze maiſons, & </s> <s xml:id="echoid-s5724" xml:space="preserve">leurs <lb/>proprietez, & </s> <s xml:id="echoid-s5725" xml:space="preserve">plus on fera paroiſtre <lb/>qu’elles n’ont point d’autre fondement <lb/>que l’imagination: </s> <s xml:id="echoid-s5726" xml:space="preserve">Car nous deman-<lb/>derõs touſiours pourquoy l’angle d’Oc-<lb/>cident, qui eſt la ſeptieſme maiſon, eſt <lb/>donné à l âge viril, à l’amour, & </s> <s xml:id="echoid-s5727" xml:space="preserve">au ma-<lb/>riage: </s> <s xml:id="echoid-s5728" xml:space="preserve">pourquoy la troiſieſme maiſon <lb/>aux freres, & </s> <s xml:id="echoid-s5729" xml:space="preserve">aux parens: </s> <s xml:id="echoid-s5730" xml:space="preserve">Et l’onzieſ-<lb/>me aux amis: </s> <s xml:id="echoid-s5731" xml:space="preserve">car il faudroit monſtrer <lb/>pourquoy cette triple conjonction de <lb/>corps, de ſang, & </s> <s xml:id="echoid-s5732" xml:space="preserve">d’eſprit, ou d’affe-<lb/>ction, eſt pluſtoſt gouuernée par cette <lb/>troiſieſme triplicité de la ſept 3. </s> <s xml:id="echoid-s5733" xml:space="preserve">& </s> <s xml:id="echoid-s5734" xml:space="preserve">11. <lb/></s> <s xml:id="echoid-s5735" xml:space="preserve">maiſon, que par vne autre triplicité.</s> <s xml:id="echoid-s5736" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5737" xml:space="preserve">Si cela eſtoit veritable, les enfans ge-<lb/>meaux, & </s> <s xml:id="echoid-s5738" xml:space="preserve">tous ceux qui sõt naiz à meſ-<lb/>me heure, ſouz vn meſme climat, en <lb/>meſme longitude, & </s> <s xml:id="echoid-s5739" xml:space="preserve">latitude, comme <lb/>ceux qui naiſſent à meſme heure à Pa-<lb/>ris, à Conſtantinople, à Amſterdan, ou <lb/>en quelqu’autreville, ou prouince, n’au-<lb/>roient-ils pas meſme femme, meſmes <lb/>enfans, meſmes amis, ou du moins en <lb/>meſme nombre, & </s> <s xml:id="echoid-s5740" xml:space="preserve">de meſmes qua-<lb/>litez?</s> <s xml:id="echoid-s5741" xml:space="preserve"/> </p> <pb o="47" file="00430" n="429" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s5742" xml:space="preserve">Ieſçay qu’il ne ſe peut faire naturel-<lb/>lement que deux perſonnes naiſſent en <lb/>vn meſme inſtant, ſur vne meſme par-<lb/>tie de la terre, qui eſt determinée par <lb/>les cercles de longitude, ou de latitude: <lb/></s> <s xml:id="echoid-s5743" xml:space="preserve">Mais il arriue des naiſsãces en des lieux, <lb/>& </s> <s xml:id="echoid-s5744" xml:space="preserve">en des temps ſi voiſins, que la diſtan-<lb/>ce n’eſt pas conſiderable, comme ils cõ-<lb/>feſſent cux-meſmes: </s> <s xml:id="echoid-s5745" xml:space="preserve">Et neantmoins la <lb/>vic, les actions, & </s> <s xml:id="echoid-s5746" xml:space="preserve">la fortune de ceux <lb/>qui naiſſent ainſi, ſont ſi differentes <lb/>qu’elles monſtrent que toutes les regles <lb/>des Aſtrologues n’ont nulle verité, cõ-<lb/>me l’on verra ſi l’on prent la peine de <lb/>l’experimenter.</s> <s xml:id="echoid-s5747" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5748" xml:space="preserve">Quant à la quatrieſme, ou derniere <lb/>triplicité, elle a l’angle tenebreux de <lb/>minuit, qu’ils appellent la foſſe des planet-<lb/>tes, à laquelle ils donnent la vieilleſſe, <lb/>les afflictions, & </s> <s xml:id="echoid-s5749" xml:space="preserve">la mort des parents: </s> <s xml:id="echoid-s5750" xml:space="preserve">la <lb/>ſeconde maiſon de cette triplicité, c’eſt <lb/>à dire, la douzieſme de l’Horoſcope, eſt <lb/>pour les ennemis, & </s> <s xml:id="echoid-s5751" xml:space="preserve">pour le mal qu’ils <lb/>font, c’eſt pourquoy ils l’appellent valée <lb/>de miſere. </s> <s xml:id="echoid-s5752" xml:space="preserve">Et la troiſieſme maiſon de cet-<lb/>te triplicité, c’eſt à dire la huictieſme <lb/>de l’Horoſcope, termine les biens, & </s> <s xml:id="echoid-s5753" xml:space="preserve"><lb/>les maux de cette vie par la mort, ſi ce <pb o="48" file="00431" n="430" rhead="Preludes de l’Harmonie."/> qu’ils aſſeurent eſt auſſi veritable, com-<lb/>me ie l’eſtime tres-faux: </s> <s xml:id="echoid-s5754" xml:space="preserve">Car ils n’ont <lb/>ny raiſon, ny experience qui nous con-<lb/>traigne de ſuiure leur opinion, encore <lb/>qu’ils ſe vantent de mille experiences <lb/>qu’ils puiſent dans les liures, ou qu’ils <lb/>diſent auoir faites: </s> <s xml:id="echoid-s5755" xml:space="preserve">mais ils ne ſçauroiĕt <lb/>en faire paroiſtre aucune qui ſoit telle-<lb/>ment reglée que l’on y puiſſe eſtablir <lb/>quelque choſe de certain.</s> <s xml:id="echoid-s5756" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5757" xml:space="preserve">Or ſi ces maiſons ne ſont pas biĕ eſta-<lb/>blies, il s’enſuit que tontes leurs predi-<lb/>ctions, & </s> <s xml:id="echoid-s5758" xml:space="preserve">toutes les conjectures qu’ils <lb/>tirent des douze maiſons, ſont treſ in-<lb/>cert. </s> <s xml:id="echoid-s5759" xml:space="preserve">ines, & </s> <s xml:id="echoid-s5760" xml:space="preserve">qu’ils ne ſçauroient rien <lb/>dire d’aſſeuré de la religion de l’enfant <lb/>par la neufieſme, non plus que par la <lb/>premiere maiſon: </s> <s xml:id="echoid-s5761" xml:space="preserve">Que la ſeptieſme ne <lb/>ſçauroit enſeigner ſi l’ĕfant ſera marié, <lb/>ny la 5. </s> <s xml:id="echoid-s5762" xml:space="preserve">s’il aura des enfans, &</s> <s xml:id="echoid-s5763" xml:space="preserve">c.</s> <s xml:id="echoid-s5764" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5765" xml:space="preserve">Quand ils auront prouué que les troi-<lb/>ſieſmes parties du Ciel, qui appartien-<lb/>nent a l’vne, ou l’autre des triplicitez, <lb/>ſont pluſtoſt de meſme nature, que cel-<lb/>les qui ſe trouuent en diuerſes triplici-<lb/>tez: </s> <s xml:id="echoid-s5766" xml:space="preserve">Que le degré d’Orient influe plus <lb/>puiſſammĕt ſur la terre, & </s> <s xml:id="echoid-s5767" xml:space="preserve">ſur l’enfant, <lb/>que le poinct vertical du Midy, & </s> <s xml:id="echoid-s5768" xml:space="preserve">plu- <pb o="49" file="00432" n="431" rhead="Preludes de l’Harmonie."/> ſieurs autres choſes, qu’ils mettent en <lb/>auant, le Muſicien pourra ſuiure leurs <lb/>predictions.</s> <s xml:id="echoid-s5769" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5770" xml:space="preserve">Ce qui n’empeſchera pourtant pas <lb/>que nous ne tirions quelque profit ſpi-<lb/>rituel de l’ordre qu’ils eſtabliſſent entre <lb/>leurs douze maiſons, afin que nous imi-<lb/>tions la ſouueraine Bonté, qui tire le <lb/>bien du mal, & </s> <s xml:id="echoid-s5771" xml:space="preserve">la verité du menſonge. <lb/></s> <s xml:id="echoid-s5772" xml:space="preserve">le dis donc que l’ordre des maiſons, <lb/>ſuiuãt le cours naturel du premier mo-<lb/>bile, qui va de l’Orient à l’Occident, <lb/>peut repreſenter les mouuemens natu-<lb/>rels de la partie ſenſitiue, ou animale: </s> <s xml:id="echoid-s5773" xml:space="preserve"><lb/>Mais quand les maiſons ſont diſpoſées <lb/>ſelon le mouuement des planettes, qui <lb/>ſe fait d’Occident en Orient, com-<lb/>me elles ſont ordinairement, elles <lb/>peuuent repreſenter le mouuement de <lb/>la raiſon, qui s’oppoſe à celuy du ſens, <lb/>comme i’expliqueray, apres auoir con-<lb/>clu qu’on ne ſçauroit donner le temps <lb/>auquel doit naiſtre vn parfait Muſicien, <lb/>par l’obſeruation des Aſtres, puis qu’il <lb/>ny a point dc certitude dans les regles <lb/>de l’Aſtrologie.</s> <s xml:id="echoid-s5774" xml:space="preserve"/> </p> <pb o="50" file="00433" n="432" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div184" type="section" level="1" n="148"> <head xml:id="echoid-head243" xml:space="preserve"><emph style="sc">Proposition</emph> IV.</head> <head xml:id="echoid-head244" style="it" xml:space="preserve">Determiner quelle vtilité l’on peut tirer des <lb/>douze maiſons de l’Horoſcope pour <lb/>les choſes ſpirituelles.</head> <p> <s xml:id="echoid-s5775" xml:space="preserve">IL faudroit faire vn liure entier, ſi l’on <lb/>vouloit rapporter tout ce qui peut <lb/>ſeruir aux choſes ſpirituelles dans l’A-<lb/>ſtrologie Iudiciaire; </s> <s xml:id="echoid-s5776" xml:space="preserve">ie me contenteray <lb/>d’en toucher icy quelque choſe, afin <lb/>que chacun y puiſſe adiouſter tout ce <lb/>qui luy plaira. </s> <s xml:id="echoid-s5777" xml:space="preserve">Les deux manieres que <lb/>i ay rapportées pour la diſpoſition des <lb/>douze maiſons, monſtrent que l’enfant <lb/>a deux voyes qu’il peut ſuiure, à ſçauoir <lb/>celle de l’appetit animal, s’il ſuit le <lb/>mouuement du premier mobile, qui <lb/>commence par la douzieſme maiſon <lb/>ſuiette à toutes ſortes de miſeres, & </s> <s xml:id="echoid-s5778" xml:space="preserve"><lb/>d’ennemis, car il faut combatre le mõ-<lb/>de, la chair, & </s> <s xml:id="echoid-s5779" xml:space="preserve">le diable: </s> <s xml:id="echoid-s5780" xml:space="preserve">puis il monte <lb/>vers l’angle du milieu, ce qui repreſen-<lb/>te l’ambition de l’hõme, qui court apres <lb/>les honneurs. </s> <s xml:id="echoid-s5781" xml:space="preserve">Or cette douzieſme mai-<lb/>ſon eſt de la meſme triplicité que celle <lb/>de la mort des parens, des priſons, & </s> <s xml:id="echoid-s5782" xml:space="preserve">de <pb o="51" file="00434" n="433" rhead="Preludes de l’Harmonie."/> la foſſe, qui eſt la quatrieſme maiſon: <lb/></s> <s xml:id="echoid-s5783" xml:space="preserve">c’eſt donc là le chemin de l’appetit bru-<lb/>tal.</s> <s xml:id="echoid-s5784" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5785" xml:space="preserve">L’autre chemin appartient à la rai-<lb/>ſon, & </s> <s xml:id="echoid-s5786" xml:space="preserve">répond à l’ordre des maiſons, qui <lb/>ſuit la ſucceſſion des ſignes du Zodia-<lb/>que, ſelon le propre m@uuement que <lb/>les planettes ont de l’Occident à l’O-<lb/>rient: </s> <s xml:id="echoid-s5787" xml:space="preserve">Car il deſcĕd par la maiſon d’hu-<lb/>milité aux richeſſes de la ſeconde mai-<lb/>ſon, qui appartient à la meſme triplicité <lb/>de la dixieſme maiſon. </s> <s xml:id="echoid-s5788" xml:space="preserve">Hieroſme Có-<lb/>lombe a fait vn traité entier de la nati-<lb/>uité de noſtre Seigneur, dans lequel il <lb/>monſtre ſes vertus, & </s> <s xml:id="echoid-s5789" xml:space="preserve">ſes qualitez par <lb/>les douze maiſons de l’Horoſcope, & </s> <s xml:id="echoid-s5790" xml:space="preserve"><lb/>par les ſignes qui ſe rencontrerent dans <lb/>chaſque maiſon à l’heure de ſa natiuité: <lb/></s> <s xml:id="echoid-s5791" xml:space="preserve">dans laquelle il a mis la Balance, & </s> <s xml:id="echoid-s5792" xml:space="preserve">♃ <lb/>pour l’angle d’Orient, afin de ſignifier <lb/>ſa juſtice, & </s> <s xml:id="echoid-s5793" xml:space="preserve">la bonté de ſon tempera-<lb/>ment. </s> <s xml:id="echoid-s5794" xml:space="preserve">le laiſſe le Scorpion de la ſecon-<lb/>de maiſon, le Sagittaire, & </s> <s xml:id="echoid-s5795" xml:space="preserve">le ☿ de la <lb/>troiſieſme, le Capricorne, & </s> <s xml:id="echoid-s5796" xml:space="preserve">le ☉ de la <lb/>quatrieſme, & </s> <s xml:id="echoid-s5797" xml:space="preserve">les ſignes des autres mai-<lb/>ſons, dont il parle, dautant que ces ap-<lb/>plications ne ſont pas dignes d’vn bon <lb/>eſprit.</s> <s xml:id="echoid-s5798" xml:space="preserve"/> </p> <pb o="52" file="00435" n="434" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div185" type="section" level="1" n="149"> <head xml:id="echoid-head245" xml:space="preserve"><emph style="sc">Proposition</emph> V.</head> <head xml:id="echoid-head246" style="it" xml:space="preserve">L’on ne ſçauroit predire aſſeurément les ma-<lb/>ladies, ni les inclinations que quelqu’vn <lb/>aura vices, aux vertus, & aux ſciences, <lb/>ni quel ſera ſon temperament, par les re-<lb/>gles ordinaires de l’Aſtrologie Iudiciaire.</head> <p> <s xml:id="echoid-s5799" xml:space="preserve">CEtte propoſition eſt contre l’opi-<lb/>niõ de pluſieurs, qui croyent qu’on <lb/>peut predire par les aſpects des Aſtres <lb/>quand la cõtagion arriuera, & </s> <s xml:id="echoid-s5800" xml:space="preserve">en quel-<lb/>le ville elle ſera, dautant, diſent ils, que <lb/>les Elements ſont parfaitement ſuiects <lb/>au Ciel, & </s> <s xml:id="echoid-s5801" xml:space="preserve">qu’il faut chercher dans les <lb/>cieux la raiſon de tout ce qui ſe fait ſur <lb/>la terre. </s> <s xml:id="echoid-s5802" xml:space="preserve">Secondement, parce que cer-<lb/>tains planettes, & </s> <s xml:id="echoid-s5803" xml:space="preserve">aſpects des Aſtres <lb/>preſident, & </s> <s xml:id="echoid-s5804" xml:space="preserve">influent plus particuliere-<lb/>ment ſur quelques villes, & </s> <s xml:id="echoid-s5805" xml:space="preserve">prouinces, <lb/>qui peuuent par apres communiquer <lb/>leurs mauuaiſes influenc àvn autre lieu, <lb/>bien que tels aſpects ayent ceſſé, & </s> <s xml:id="echoid-s5806" xml:space="preserve">que <lb/>toutes les ſaiſons ayent gardé leur tem-<lb/>perament, comme il eſt ſouuent remar-<lb/>marqué dans les Ephemerides.</s> <s xml:id="echoid-s5807" xml:space="preserve"/> </p> <pb o="53" file="00436" n="435" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s5808" xml:space="preserve">Troiſieſmement, parce que l’expe-<lb/>rience fait voir que la France, l’Angle-<lb/>terre, l’Allemagne, l’Eſpagne, & </s> <s xml:id="echoid-s5809" xml:space="preserve">plu-<lb/>ſieurs aurres Prouinces de l@@wropeſont <lb/>ſuiettes au premier trigone du feu, à <lb/>ſçauoir au Belier, au Lion, & </s> <s xml:id="echoid-s5810" xml:space="preserve">au <lb/>Sagittaire, dont le Soleil, & </s> <s xml:id="echoid-s5811" xml:space="preserve">♃ ſont <lb/>ſeigneurs. </s> <s xml:id="echoid-s5812" xml:space="preserve">Que le ſecond Trigone <lb/>terreſtre, le Taureau, ♍, & </s> <s xml:id="echoid-s5813" xml:space="preserve">leCapricor-<lb/>ne auec ♀ & </s> <s xml:id="echoid-s5814" xml:space="preserve">☾ influent particulieremĕt <lb/>ſur l’Inde, ſur les Parthes, & </s> <s xml:id="echoid-s5815" xml:space="preserve">ſut les par-<lb/>ties plus Meridionales de l’Aſie. </s> <s xml:id="echoid-s5816" xml:space="preserve">Que <lb/>le troiſieſme Trigone aërien, II, ♎, & </s> <s xml:id="echoid-s5817" xml:space="preserve"><lb/>le Verſeau auec ♄, & </s> <s xml:id="echoid-s5818" xml:space="preserve">☿ dominent ſur <lb/>l’Armenie, la Sarmatie, & </s> <s xml:id="echoid-s5819" xml:space="preserve">c. </s> <s xml:id="echoid-s5820" xml:space="preserve">Finalemĕt, <lb/>que le Trigone de l’eau, l’Ecreuiſſe, lo <lb/>Scorpion, & </s> <s xml:id="echoid-s5821" xml:space="preserve">les Poiſſons, auec ♂ gou-<lb/>uernĕt la Numidie, Chartage, les Mau-<lb/>res, & </s> <s xml:id="echoid-s5822" xml:space="preserve">les autres Prouinces de l’Afri-<lb/>que. </s> <s xml:id="echoid-s5823" xml:space="preserve">A quoy ils adjouſtent que ♄ en-<lb/>gendre la peſte, quand il domine ſur les <lb/>Eclipſes de la Lune, ou du Soleil, ou <lb/>qu’il les regarde d’vn aſpect oppoſé, ou <lb/>quadrat, eſtant dans les ſignes de II, ♍ <lb/>& </s> <s xml:id="echoid-s5824" xml:space="preserve">le Sagittaire: </s> <s xml:id="echoid-s5825" xml:space="preserve">De maniere que la cõ-<lb/>tagion arriue aux lieux qui ſont ſuiets <lb/>aux ſignes, dans leſquels l’Eclipſe ſe <lb/>fait, & </s> <s xml:id="echoid-s5826" xml:space="preserve">à la ville qu’on a commencée <pb o="54" file="00437" n="436" rhead="Preludes de l’Harmonie."/> de baſtir, lors que le Soleil eſtoit en ce <lb/>ſigne. </s> <s xml:id="echoid-s5827" xml:space="preserve">Ce qu’ils eſtiment ſi veritable, <lb/>qu’ils croiĕt pouuoir trouuer le temps <lb/>precis, auquel la maladie doit arriuer, <lb/>pourueu qu’ils ſçachent de combien le <lb/>Soleil, ou la Lune eſtoient éloignez de <lb/>l’Horoſcope ſelon la ſucceſſion des ſi-<lb/>gnes lors de l Eclipſe, dautant qu’il <lb/>faut conter deux mois pour chaque ſi-<lb/>gne, & </s> <s xml:id="echoid-s5828" xml:space="preserve">que la maladie doit durer autãt <lb/>de mois, ou d’années, comme l Eclipſe <lb/>de la Lune, ou du Soleil durera d’heu-<lb/>res: </s> <s xml:id="echoid-s5829" xml:space="preserve">Mais cette maladie arriuera bien-<lb/>toſt, ſi la conjonction de ♀, & </s> <s xml:id="echoid-s5830" xml:space="preserve">de ☿ <lb/>ſe fait aux étoiles Saturniennes, & </s> <s xml:id="echoid-s5831" xml:space="preserve">ſi ♄ <lb/>ſe trouue dans le Belier, dans le Lion, <lb/>ou dans le Sagittaire.</s> <s xml:id="echoid-s5832" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5833" xml:space="preserve">Quant à l’inclination des hommes, <lb/>S. </s> <s xml:id="echoid-s5834" xml:space="preserve">Thomas meſme aduoue dans le 3. <lb/></s> <s xml:id="echoid-s5835" xml:space="preserve">liure cõtre les Gentils chap. </s> <s xml:id="echoid-s5836" xml:space="preserve">86. </s> <s xml:id="echoid-s5837" xml:space="preserve">& </s> <s xml:id="echoid-s5838" xml:space="preserve">92. </s> <s xml:id="echoid-s5839" xml:space="preserve"><lb/>que les Aſtres nous donnent de diffe-<lb/>rentes inclinations, & </s> <s xml:id="echoid-s5840" xml:space="preserve">produiſent en <lb/>nous de certaines diſpoſitions, comple-<lb/>xions, & </s> <s xml:id="echoid-s5841" xml:space="preserve">habitudes, de maniere que ☿ <lb/>eſtant dãs l’vne des maiſons de ♄ don-<lb/>ne vn excellent eſprit: </s> <s xml:id="echoid-s5842" xml:space="preserve">& </s> <s xml:id="echoid-s5843" xml:space="preserve">enſeigne en la <lb/>premiere partie de ſa Somme, queſtiõ <lb/>115. </s> <s xml:id="echoid-s5844" xml:space="preserve">article 4. </s> <s xml:id="echoid-s5845" xml:space="preserve">que les Aſtrologues ren- <pb o="55" file="00438" n="437" rhead="Preludes de l’Harmonie."/> contrent le plus ſouuent la verité, dau-<lb/>tant que la volonté ſe porte facilement <lb/>à faire vne mauuaiſe élection, quand <lb/>elle ſuit l’inclination de l’appetit ſen-<lb/>ſuel, qui dépend de l’influence des <lb/>Aſtres. </s> <s xml:id="echoid-s5846" xml:space="preserve">Il aſſeure auſſi dans ſes com-<lb/>mentaires ſur le ſecond liure qu’a fait <lb/>Ari@ote de la generation, que l’enfant <lb/>viura plus, ou moins, à proportion de <lb/>la force que les planettes auront dans <lb/>ſon Horoſcope; </s> <s xml:id="echoid-s5847" xml:space="preserve">de là vient que quel-<lb/>ques-vns croyent que l’õ pourroit pre-<lb/>dire tout ce qui arriuera à l’enfant en <lb/>toute ſa vie, ſi l’on connoiſſoit parfaite-<lb/>ment la force, & </s> <s xml:id="echoid-s5848" xml:space="preserve">la nature des Aſtres.</s> <s xml:id="echoid-s5849" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5850" xml:space="preserve">Or ie ne peux ſuiure cette opinion, <lb/>car bien que les Aſtres agiſſent ſur nous <lb/>par leur lumiere, &</s> <s xml:id="echoid-s5851" xml:space="preserve">, peut eſtre, par <lb/>quelque particuliere influence, ie ne <lb/>crois pas qu’on puiſſe predire le iour, ny <lb/>l’année, dans laquelle la maladie arri-<lb/>uera, dautant que nous ne ſçauons pas <lb/>iuſques à quel point doit venir l’altera-<lb/>tion de l’air, & </s> <s xml:id="echoid-s5852" xml:space="preserve">des aurres Elemens, la-<lb/>quelle eſt neceſſaire pour engendrer la <lb/>contagion. </s> <s xml:id="echoid-s5853" xml:space="preserve">D’abondant les Trigones <lb/>du feu, de l’air, de l’eau, & </s> <s xml:id="echoid-s5854" xml:space="preserve">de la terre, <lb/>ne me ſemblent pas eſtre bien eſtablis;</s> <s xml:id="echoid-s5855" xml:space="preserve"> <pb o="56" file="00439" n="438" rhead="Preludes de l’Harmonie."/> car pourquoy le Belier, le Lion <lb/>& </s> <s xml:id="echoid-s5856" xml:space="preserve">le Sagittaire gouuernent ils plu-<lb/>ſtoſt la France, l’Angleterre, l’Eſpa-<lb/>gne, l’Allemagne, & </s> <s xml:id="echoid-s5857" xml:space="preserve">c. </s> <s xml:id="echoid-s5858" xml:space="preserve">que la Numi-<lb/>die, & </s> <s xml:id="echoid-s5859" xml:space="preserve">les autres prouinces de l’Afrique? <lb/></s> <s xml:id="echoid-s5860" xml:space="preserve">ils deuroient pluſtoſt regir celles-cy, <lb/>puis qu’ils montent plus haut, & </s> <s xml:id="echoid-s5861" xml:space="preserve">dar-<lb/>dent leurs rayons, & </s> <s xml:id="echoid-s5862" xml:space="preserve">leurs influences <lb/>plus perpendiculairement ſur leur ho-<lb/>rizon que ſur le noſtre: </s> <s xml:id="echoid-s5863" xml:space="preserve">Car le Belier <lb/>n’a que quarante & </s> <s xml:id="echoid-s5864" xml:space="preserve">vn degré d’éleua-<lb/>tion à Paris, quand il eſt en ſon Midy, <lb/>le Lion en a 63. </s> <s xml:id="echoid-s5865" xml:space="preserve">& </s> <s xml:id="echoid-s5866" xml:space="preserve">le Sagit-<lb/>taire 24. </s> <s xml:id="echoid-s5867" xml:space="preserve">Mais le Lion a 90. </s> <s xml:id="echoid-s5868" xml:space="preserve">de-<lb/>grez d’éleuation és Prouinces Me-<lb/>ridionales, & </s> <s xml:id="echoid-s5869" xml:space="preserve">le Belier en a autant <lb/>ſouz la ligne équinoctiale: </s> <s xml:id="echoid-s5870" xml:space="preserve">C’eſt pour-<lb/>quoy ils deuroient pluſtoſt preſider à <lb/>ces parties de la terre, qu à noſtre Eu-<lb/>rope, puis qu’ils ont plus de force dans <lb/>les Prouinces Meridionales, que dans <lb/>les Septentrionales.</s> <s xml:id="echoid-s5871" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5872" xml:space="preserve">Tout ce qu’ils diſent de la grande <lb/>conjonction de ♄, & </s> <s xml:id="echoid-s5873" xml:space="preserve">de ♃, à laquelle <lb/>ils donnent 794. </s> <s xml:id="echoid-s5874" xml:space="preserve">ou 800. </s> <s xml:id="echoid-s5875" xml:space="preserve">ans, afin que <lb/>chaque Trigone ait 100. </s> <s xml:id="echoid-s5876" xml:space="preserve">ans, ne me <lb/>ſemble pas plus veritable quant aux <lb/>predictions qu’ils en tirent.</s> <s xml:id="echoid-s5877" xml:space="preserve"/> </p> <pb o="57" file="00440" n="439" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s5878" xml:space="preserve">Il faut auſſi remarquer qu’ils mettent <lb/>dix moindres conjonctions en chaque <lb/>Tiigone, auant que la grande conjon-<lb/>ction arriue: </s> <s xml:id="echoid-s5879" xml:space="preserve">& </s> <s xml:id="echoid-s5880" xml:space="preserve">qu’ils diſent que l’vne <lb/>de ces moindres conjonctions ſe fiſt l’an <lb/>1622. </s> <s xml:id="echoid-s5881" xml:space="preserve">dans le trigone du feu, le dix-hui-<lb/>ctieſme iour de Iuillet, & </s> <s xml:id="echoid-s5882" xml:space="preserve">que l’autre <lb/>arriuèra l’an 1643. </s> <s xml:id="echoid-s5883" xml:space="preserve">le ſecond iour de <lb/>Mars, dans le vingt-cinquieſme degré <lb/>des Poiſſons, qui appartiennent au tri-<lb/>gone de l’eau, comme le Lion au <lb/>ſixieſme degré dans lequel ſe fit l’au-<lb/>tre conionction. </s> <s xml:id="echoid-s5884" xml:space="preserve">Il eſt tres-facile de <lb/>trouuer les autres conionctions, puis <lb/>qu’elles ſe font de vingt en vingtans, <lb/>afin que dix moindres cõjonctions, qui <lb/>ſe font en chaque Trigone, eſtant mul-<lb/>tipliées par quatre, qui eſt le nombre <lb/>deſdits Trigones, donnent 800. </s> <s xml:id="echoid-s5885" xml:space="preserve">ans <lb/>pour le temps qu’il y a d’vne grãde con-<lb/>jonction à l’autre.</s> <s xml:id="echoid-s5886" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5887" xml:space="preserve">Ce que i’ay voulu remarquer, parce <lb/>que quelques-vns veulent eſtablir la <lb/>Chronologie par le moyen de ces Tri-<lb/>gones, & </s> <s xml:id="echoid-s5888" xml:space="preserve">ſuppoſent que le monde à <lb/>commencé ſouz la premiere grande <lb/>conjonction, au commencement du <lb/>Trigone du feu; </s> <s xml:id="echoid-s5889" xml:space="preserve">que la ſeconde s’eſt <pb o="58" file="00441" n="440" rhead="Preludes de l’Harmonie."/> faite lors qu’Enoch viuoit ſainctemĕt, <lb/>& </s> <s xml:id="echoid-s5890" xml:space="preserve">que les fils de Cain inuentoient les <lb/>Arts, & </s> <s xml:id="echoid-s5891" xml:space="preserve">les Sciences: </s> <s xml:id="echoid-s5892" xml:space="preserve">Que la troiſieſ-<lb/>me eſt arriuée au deluge: </s> <s xml:id="echoid-s5893" xml:space="preserve">la quatrieſme <lb/>à la ſortie des Hebreux hors de l’Egy-<lb/>pte: </s> <s xml:id="echoid-s5894" xml:space="preserve">la cinquieſme, quand ils farent <lb/>menez captifs ſouz Iſaïe, & </s> <s xml:id="echoid-s5895" xml:space="preserve">que les <lb/>Olvmpiades, l’an de Nabonaſſar, & </s> <s xml:id="echoid-s5896" xml:space="preserve"><lb/>Rome commencerent; </s> <s xml:id="echoid-s5897" xml:space="preserve">& </s> <s xml:id="echoid-s5898" xml:space="preserve">la ſixieſme, <lb/>vers la Natiuité de noſtre Seigneur, <lb/>l’an du monde 3970. </s> <s xml:id="echoid-s5899" xml:space="preserve">Cecy eſtant poſé, <lb/>il faut que la ſeptieſme ſe ſoit faite vers <lb/>le temps de Charlemagne: </s> <s xml:id="echoid-s5900" xml:space="preserve">la huictieſ-<lb/>me, quand la nouuelle eſtoile parut <lb/>l’an 1588. </s> <s xml:id="echoid-s5901" xml:space="preserve">& </s> <s xml:id="echoid-s5902" xml:space="preserve">par conſequent la neufieſ-<lb/>me de ces grandes conjonctions arriue-<lb/>ra l’an de grace 2382.</s> <s xml:id="echoid-s5903" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5904" xml:space="preserve">Mais il faudroit prouuer que le mõde <lb/>a eſté creé au cõmencemĕt du trigone <lb/>du feu, auãt que de pouuoir érablir cete <lb/>Chronologie, ce qu’on ne fera iamais.</s> <s xml:id="echoid-s5905" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5906" xml:space="preserve">Quant à la natiuité des villes, elle n’a <lb/>pointde fondemĕt dãs les Horoſcopes <lb/>qu’ils en dreſſent, ſur quoy l’on peut li-<lb/>re Gauric, & </s> <s xml:id="echoid-s5907" xml:space="preserve">les autres qui ont erige <lb/>les figures, ou les natiuitez de Rome, <lb/>de Milan, de Conſtantinople, & </s> <s xml:id="echoid-s5908" xml:space="preserve">de <lb/>pluſieurs autres villes. </s> <s xml:id="echoid-s5909" xml:space="preserve">Ils n’euſſent pas <pb o="59" file="00442" n="441" rhead="Preludes de l’Harmonie."/> employé leur temps plus mal s’ils euſ-<lb/>ſent dreſſé les Horoſcopes de la terre, <lb/>& </s> <s xml:id="echoid-s5910" xml:space="preserve">des autres Flements, ou de la Lune, <lb/>de ☿, & </s> <s xml:id="echoid-s5911" xml:space="preserve">des autres planettes, car on ne <lb/>ſçauroit rien predire d’aſſeuré ny des <lb/>vns ny des autres.</s> <s xml:id="echoid-s5912" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5913" xml:space="preserve">Parlons maintenant des differentes <lb/>inclinations des hommes, dont traite <lb/>ſainct Thomas depuis le 82. </s> <s xml:id="echoid-s5914" xml:space="preserve">chap. </s> <s xml:id="echoid-s5915" xml:space="preserve">du <lb/>troiſieſme liure contre les Gentils iuſ-<lb/>ques au 87. </s> <s xml:id="echoid-s5916" xml:space="preserve">& </s> <s xml:id="echoid-s5917" xml:space="preserve">dãs la premiere partie de <lb/>ſa Somme, queſtion 115. </s> <s xml:id="echoid-s5918" xml:space="preserve">art. </s> <s xml:id="echoid-s5919" xml:space="preserve">4. </s> <s xml:id="echoid-s5920" xml:space="preserve">dont <lb/>voicy les paroles, Il eſt plus probable que <lb/>l’on peut predire l’inclination des hommes par <lb/>les Aſtres, dautant que la plus grande partie <lb/>des hommes fuit les paſsions, & </s> <s xml:id="echoid-s5921" xml:space="preserve">les mouue-<lb/>mens de l’appetit ſenſitif, ſurqui les cieux <lb/>ont quelque pouuoir, carily a peu de ſages qui <lb/>reſiſtent à leurs paſsions, & </s> <s xml:id="echoid-s5922" xml:space="preserve">qui ſuiuent les <lb/>mouuemens, & </s> <s xml:id="echoid-s5923" xml:space="preserve">la loy de l’eſprit. </s> <s xml:id="echoid-s5924" xml:space="preserve">Delà vient <lb/>que ce grand Docteur de l’école a dit <lb/>que les corps celeſtes peuuĕt eſtre cau-<lb/>ſes indirectes, & </s> <s xml:id="echoid-s5925" xml:space="preserve">accidĕtelles des actiõs <lb/>humaines, parce qu’ils agiſſent ſur nos <lb/>corps, dont l’entendement, & </s> <s xml:id="echoid-s5926" xml:space="preserve">la vo-<lb/>lonté ont beſoin pour faire leurs fon-<lb/>ctions; </s> <s xml:id="echoid-s5927" xml:space="preserve">& </s> <s xml:id="echoid-s5928" xml:space="preserve">qu’il eſt neceſſaire que les <lb/>actions de oes facultez ſoient empeſ- <pb o="60" file="00443" n="442" rhead="Preludes de l’Harmonie."/> chées quand les organes corporels ſont <lb/>mal diſpoſez, comme il arriue à l œil, <lb/>qui a la iauniſſe, ou à l’imaginati<unsure/>on qui <lb/>eſt troublée: </s> <s xml:id="echoid-s5929" xml:space="preserve">Car il faut que l’entende-<lb/>ment ſe ſerue de l’imagination, qui cõ-<lb/>munique ſon indiſpoſition, & </s> <s xml:id="echoid-s5930" xml:space="preserve">ſon im-<lb/>perfection aux operations intellectuel-<lb/>les, comme le verre coloré communi-<lb/>que la ſienne à la lumiere du Soleil.</s> <s xml:id="echoid-s5931" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5932" xml:space="preserve">Quant à la volonté, elle ne ſuit pas ſi <lb/>neceſſairement les émotions de l’appe-<lb/>tit concupiſcible, & </s> <s xml:id="echoid-s5933" xml:space="preserve">de l’iraſcible; </s> <s xml:id="echoid-s5934" xml:space="preserve">car <lb/>elle peut les corriget, & </s> <s xml:id="echoid-s5935" xml:space="preserve">s oppoſer à leur <lb/>violence par des mouuemĕs contraires: <lb/></s> <s xml:id="echoid-s5936" xml:space="preserve">ce que ſainct Paul à remarqué quand il <lb/>a dit que l’eſprit reſiſte à la chair: </s> <s xml:id="echoid-s5937" xml:space="preserve">d’où <lb/>il appert que les influences celeſtes ont <lb/>moins de force ſur la volonté que ſur <lb/>l’entendement, qui ne peut corriger <lb/>l’imperfection, & </s> <s xml:id="echoid-s5938" xml:space="preserve">la perturbation de <lb/>l’imagination, & </s> <s xml:id="echoid-s5939" xml:space="preserve">des autres facultez <lb/>qui luy ſont neceſſaires.</s> <s xml:id="echoid-s5940" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5941" xml:space="preserve">Nous pouuons done conclurre que <lb/>les Horoſcopes, par leſquels nous auõs <lb/>monſtré quelle natiuité doit auoir le <lb/>parfaict Muſicien, ne doiuent pas eſtre <lb/>entierement rejettez, puis que le Do-<lb/>cteur Angelique, & </s> <s xml:id="echoid-s5942" xml:space="preserve">preſque tous le@ <pb o="61" file="00444" n="443" rhead="Preludes de l’Harmonie."/> doctes auec luy confeſſent qu’on peut <lb/>predire les inclinations, & </s> <s xml:id="echoid-s5943" xml:space="preserve">la perfectiõ <lb/>du corps, & </s> <s xml:id="echoid-s5944" xml:space="preserve">de l’eſprit par les regles que <lb/>Ptolomée & </s> <s xml:id="echoid-s5945" xml:space="preserve">les autres ont données: <lb/></s> <s xml:id="echoid-s5946" xml:space="preserve">car ie ne veux pas m’oppoſer à vne opi-<lb/>nion receuë par de ſi grãdsperſonnages, <lb/>& </s> <s xml:id="echoid-s5947" xml:space="preserve">qui ſemble eſtre confirmée par plu-<lb/>ſieurs experiences. </s> <s xml:id="echoid-s5948" xml:space="preserve">Ie diray neãtmoins <lb/>qu’il ſemble qu’on ne peut rien predire <lb/>d’aſſeuré des inclinations, ou de la per-<lb/>fection de l’enfant, à raiſon de la matie-<lb/>re, dont ſon corps eſt formé: </s> <s xml:id="echoid-s5949" xml:space="preserve">du laict, <lb/>& </s> <s xml:id="echoid-s5950" xml:space="preserve">des autres viandes, dont il eſt nourry; </s> <s xml:id="echoid-s5951" xml:space="preserve"><lb/>de l’air qu’il inſpire, des diuerſes com-<lb/>pagnies parmy leſquelles il eſt éleué, <lb/>& </s> <s xml:id="echoid-s5952" xml:space="preserve">de mille autres circonſtances, qui <lb/>ſont grandement conſiderables, & </s> <s xml:id="echoid-s5953" xml:space="preserve">trop <lb/>ſuffiſantes pour empeſcher toutes les <lb/>predictiõs des <emph style="sc">A</emph>ſtrologues, encore qu’ils <lb/>euſſent vne parfaite connoiſſance de la <lb/>nature, & </s> <s xml:id="echoid-s5954" xml:space="preserve">des effects de tous les Aſtres, <lb/>laquelle ils n’auront iamais. </s> <s xml:id="echoid-s5955" xml:space="preserve">A quoy <lb/>l’on peut adjouſter qu’il faudroit voir ſi <lb/>les planettes eſtant dans les meſmes ſi-<lb/>gnes vers leMidy, vers la ligne Equino-<lb/>ctiale, & </s> <s xml:id="echoid-s5956" xml:space="preserve">vers l’Orient, comme en la <lb/>Chine, & </s> <s xml:id="echoid-s5957" xml:space="preserve">au Iapon, ont meſme force, <lb/>& </s> <s xml:id="echoid-s5958" xml:space="preserve">produiſent les meſmes effects que <pb o="62" file="00445" n="444" rhead="Preludes de l’Harmonie."/> dans l’Europe; </s> <s xml:id="echoid-s5959" xml:space="preserve">Et ſi les meſmes choſes <lb/>arriuent par tout le monde, ſouz meſ-<lb/>mes aſpects, & </s> <s xml:id="echoid-s5960" xml:space="preserve">meſmes conſtellations: <lb/></s> <s xml:id="echoid-s5961" xml:space="preserve">car ſi cela n’eſt vniforme, il n’y a nulle <lb/>certitude dans l’Aſtrologie Iudiciaire.</s> <s xml:id="echoid-s5962" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5963" xml:space="preserve">Ie veux acheuer ce diſcours par vne <lb/>raiſon qui toute ſeule peut monſtrer <lb/>l’incertitude de l’Aſtrologie, laquelle <lb/>n’eſtant fondée que ſur les experiences <lb/>dont ſe vantent les Aſtrologues, elle <lb/>ſera entierement renuerſee, ſi iamais <lb/>l’on n’a pû faire deux ſemblables expe-<lb/>riences.</s> <s xml:id="echoid-s5964" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5965" xml:space="preserve">Or il eſt tres certain que les Aſtres, <lb/>ceſt à dire les étoiles, & </s> <s xml:id="echoid-s5966" xml:space="preserve">les planettes, <lb/>dont les Horoſcopes, & </s> <s xml:id="echoid-s5967" xml:space="preserve">toute l’Aſtro-<lb/>logie tirent leurs vertus, leurs ſignifica-<lb/>tions, & </s> <s xml:id="echoid-s5968" xml:space="preserve">leurs diſcours, n’ont eu iamais <lb/>deux fois vne meſme diſpoſition entre-<lb/>elles, & </s> <s xml:id="echoid-s5969" xml:space="preserve">n’ont iamais regardé deux fois <lb/>la terre d’vn meſime aſpect, & </s> <s xml:id="echoid-s5970" xml:space="preserve">par con-<lb/>ſequĕt ne nous ont point enuoyé deux <lb/>fois leurs in fluences d’vne meſine façõ: <lb/></s> <s xml:id="echoid-s5971" xml:space="preserve">dõc les Aſtrologues n’ont pû faire deux <lb/>experiĕces ſemblables de l’influĕce des <lb/>cieux depuis la creation du monde iuſ-<lb/>ques à preſent: </s> <s xml:id="echoid-s5972" xml:space="preserve">& </s> <s xml:id="echoid-s5973" xml:space="preserve">conſequemment ils <lb/>ne peuuent rien predire d’aſſcuré pat <pb o="63" file="00446" n="445" rhead="Preludes de l’Harmonie."/> les Horoſcopes, iuſques à ce que les <lb/>Aſtres ayent la meſme diſpoſitiõ, qu’ils <lb/>ont remarquéevne ſeule fois, afin qu’ils <lb/>ſe ſeruent pour le moins de deux ſem-<lb/>blables experiences pour eſtablir la ve-<lb/>rité de leurs predictions. </s> <s xml:id="echoid-s5974" xml:space="preserve">Que ſi l’on de-<lb/>mande combien il faut de temps pour <lb/>faire d’eux ſemblables obſeruations, ie <lb/>répõs qu’il faut pour le moins 6336000. <lb/></s> <s xml:id="echoid-s5975" xml:space="preserve">années; </s> <s xml:id="echoid-s5976" xml:space="preserve">car les ſimples periodes, ou <lb/>cours de Mars, de lupiter, de Saturne, <lb/>& </s> <s xml:id="echoid-s5977" xml:space="preserve">des étoiles, c’eſt à dire les 2, les 12, <lb/>les 30, & </s> <s xml:id="echoid-s5978" xml:space="preserve">les 28800. </s> <s xml:id="echoid-s5979" xml:space="preserve">années du cours de <lb/>♂, de ♃, de ♄, & </s> <s xml:id="echoid-s5980" xml:space="preserve">du firmamĕt ſe multi-<lb/>pliant font ſix milious trois cent trente <lb/>ſix mille années. </s> <s xml:id="echoid-s5981" xml:space="preserve">I’ay dit pour le moins; </s> <s xml:id="echoid-s5982" xml:space="preserve"><lb/>car le nõbre des années ſera beaucoup <lb/>plus grand, ſi l’on multiplie le temps <lb/>des autres planettes, & </s> <s xml:id="echoid-s5983" xml:space="preserve">de tous leurs <lb/>excentriques, epicycles, & </s> <s xml:id="echoid-s5984" xml:space="preserve">autres mou-<lb/>uemens particuliers, par le nombre des <lb/>années ſuſdites.</s> <s xml:id="echoid-s5985" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5986" xml:space="preserve">Et à vray dire ie croy que S. </s> <s xml:id="echoid-s5987" xml:space="preserve">Thomas <lb/>n’euſt iamais donné de ſi grands auan-<lb/>tages aux A ſtrologues, comme il a fait <lb/>aux lieux que i’ay rapportez, s’il euſt <lb/>plus eſtudié à cet art, & </s> <s xml:id="echoid-s5988" xml:space="preserve">s’il euſt conſi-<lb/>deré cette raiſon: </s> <s xml:id="echoid-s5989" xml:space="preserve">Mais il s’eſt conten- <pb o="64" file="00447" n="446" rhead="Preludes de l’Harmonie."/> té de conſeruer la liberté des hommes, <lb/>& </s> <s xml:id="echoid-s5990" xml:space="preserve">la prouidence de Dieu; </s> <s xml:id="echoid-s5991" xml:space="preserve">Et a laiſſé la <lb/>liberté aux Iudiciaires de predire ce <lb/>qui dépend des paſſions, & </s> <s xml:id="echoid-s5992" xml:space="preserve">du tempe-<lb/>tament, ſans examiner plus particulie-<lb/>rement ſi cela ſe pouuoit faire par l’A-<lb/>ſtrologie, ou s’il ſurpaſſoit l’induſtrie, & </s> <s xml:id="echoid-s5993" xml:space="preserve"><lb/>la connoiſſance des hommes.</s> <s xml:id="echoid-s5994" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s5995" xml:space="preserve">Et s’il euſt interrogé les plus ſçauans <lb/>Aſtrologues du mõde, & </s> <s xml:id="echoid-s5996" xml:space="preserve">ſi leur euſt de-<lb/>mandé quelque maxime certaine, & </s> <s xml:id="echoid-s5997" xml:space="preserve"><lb/>infaillible de leur art, il euſſent confeſ-<lb/>ſé ingenuëment qu’il ny en a point. </s> <s xml:id="echoid-s5998" xml:space="preserve">Et <lb/>s’ils euſſent eu honte de le confeſſer, il <lb/>euſt eſté facile de les contraindre par <lb/>l’experience meſme d’aduoüer cette <lb/>verité.</s> <s xml:id="echoid-s5999" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div186" type="section" level="1" n="150"> <head xml:id="echoid-head247" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s6000" xml:space="preserve">L’on verra encere plus clairment <lb/>dans la ptopoſition qui ſuit qu’il n’y a <lb/>nulle raiſon qui perſuade la verité de <lb/>l’Aſtrologie, que l’on appelle la Iudi-<lb/>ciaire, & </s> <s xml:id="echoid-s6001" xml:space="preserve">conſequemment qu’il la faut <lb/>oſter du nombre des Sciences & </s> <s xml:id="echoid-s6002" xml:space="preserve">des <lb/>Arts liberaux, car elle fait voir ſi eui-<lb/>demment la vanité des fondemens, &</s> <s xml:id="echoid-s6003" xml:space="preserve"> <pb o="65" file="00448" n="447" rhead="Preludes de l’Harmonie."/> des regles dont vſent les Aſtrologues, <lb/>qu’il eſt mal-aiſé de la lire attentiue-<lb/>ment que l’on ne ſe departe incontinĕt <lb/>de leurs maximes pretenduës.</s> <s xml:id="echoid-s6004" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div187" type="section" level="1" n="151"> <head xml:id="echoid-head248" xml:space="preserve">COROLLAIRE II.</head> <p> <s xml:id="echoid-s6005" xml:space="preserve">Si l’on conſidere la grande diuerſité <lb/>des macules, ou taches du Soleil, & </s> <s xml:id="echoid-s6006" xml:space="preserve">les <lb/>differents effets qui peuuent eſtre pro-<lb/>duits par leur preſence, ou par leur ab-<lb/>ſence, à rai ſon que le Soleil perd beau-<lb/>coup de ſa lumiere lors qu’il en eſt cou-<lb/>uert, & </s> <s xml:id="echoid-s6007" xml:space="preserve">qu’il eſt beaucoup plus clair, & </s> <s xml:id="echoid-s6008" xml:space="preserve"><lb/>plus reſplendiſſant, quand il n’en a <lb/>point, & </s> <s xml:id="echoid-s6009" xml:space="preserve">qu’il a pluſieurs flambeaux <lb/>qui l’accompagnent, dont les vns ſont <lb/>auſſi grands que toute la terre, & </s> <s xml:id="echoid-s6010" xml:space="preserve">neãt-<lb/>moins que l’on ne peut predire la naiſ-<lb/>ſance, ou l’apparĕce de ces flãbeaux, ny <lb/>de ces macules, quoy qu’elles ſoiĕt ſou <lb/>uent plus grãdes que le corps de la Lu-<lb/>ne, l’on ſera cõtraint d’auoüerqu’il n’eſt <lb/>pas poſſible de predire aucune choſe <lb/>par les regles de ceux qui n’ont pas ſeu-<lb/>lement conneu qu’il y euſt des taches <lb/>dans le Soleil, dont Schener a écrit vn <lb/>gros volume qui mei ite d’eſtre leu.</s> <s xml:id="echoid-s6011" xml:space="preserve"/> </p> <pb o="66" file="00449" n="448" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div188" type="section" level="1" n="152"> <head xml:id="echoid-head249" xml:space="preserve">COROLLAIRE III.</head> <p> <s xml:id="echoid-s6012" xml:space="preserve">I’adjouſte la propoſition qui ſuit, dõt <lb/>i’ay pris le diſcours dans l’Apologie que <lb/>Monſieur Gaſſendi Theologal de Di-<lb/>gne m’a fait voir en faueur des atomes <lb/>d’Epicure, laquelle contient la Phyſi. <lb/></s> <s xml:id="echoid-s6013" xml:space="preserve">que beaucoup plus parfaitement que <lb/>nul autre liure que i’aye iamais veu; </s> <s xml:id="echoid-s6014" xml:space="preserve">car <lb/>elle comprend tout ce que l’on peut s’i-<lb/>maginer de plus ſubtil, & </s> <s xml:id="echoid-s6015" xml:space="preserve">de plus excel-<lb/>lent dans toutes les Hypotheſes des an-<lb/>ciens, & </s> <s xml:id="echoid-s6016" xml:space="preserve">des Modernes, dont elle peut <lb/>ayſément ſuppléer tous les liures: </s> <s xml:id="echoid-s6017" xml:space="preserve">i’eſ-<lb/>pere qu’il la donnera bien-toſt au pu-<lb/>blic, & </s> <s xml:id="echoid-s6018" xml:space="preserve">que l’on ne ſera pas ſi ignorant <lb/>qu’auparauant, apres qu’on l’aura leuë, <lb/>& </s> <s xml:id="echoid-s6019" xml:space="preserve">entenduë.</s> <s xml:id="echoid-s6020" xml:space="preserve"/> </p> <pb o="67" file="00450" n="449" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div189" type="section" level="1" n="153"> <head xml:id="echoid-head250" xml:space="preserve">QVESTION III.</head> <p style="it"> <s xml:id="echoid-s6021" xml:space="preserve">Que les hommes ſçauans, & </s> <s xml:id="echoid-s6022" xml:space="preserve">iudicieux re-<lb/>iettent l’Aſtrologie Iudiciaire, parce qu’el-<lb/>le n’a nul fondement, ou principe ſolide; </s> <s xml:id="echoid-s6023" xml:space="preserve">& </s> <s xml:id="echoid-s6024" xml:space="preserve"><lb/>que toutes les maximes des Aſtrologues <lb/>ſont dignes de riſée: </s> <s xml:id="echoid-s6025" xml:space="preserve">& </s> <s xml:id="echoid-s6026" xml:space="preserve">conſequemment <lb/>que l’on ne peut rien predire d’aſſeuré, ni <lb/>de probable de la naiſſance des hommes <lb/>par le moyen des Aſtres.</s> <s xml:id="echoid-s6027" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6028" xml:space="preserve">ENcore que ce que i’ay dit cy deſſus <lb/>ſoit ſuffiſant pour faire paroiſtre la <lb/>vanité de l’Aſtrologie, neãtmoins i’ad-<lb/>jouſte ce diſcours, afin que nul ne s’y <lb/>amuſe, & </s> <s xml:id="echoid-s6029" xml:space="preserve">que ceux qui ſont ſtudieux, <lb/>emploiĕt leur tĕps à de meilleures cho-<lb/>ſes. </s> <s xml:id="echoid-s6030" xml:space="preserve">Or puiſque l’on ne peut ſçauoir le <lb/>vray point de l’Ecliptique, qui ſe leue <lb/>ſur l’horizon à l’inſtant que l’enfantviĕt <lb/>au monde, il n’eſt pas poſſible de faire <lb/>ſon Horoſcope, puis que l’on ignore le <lb/>point qu’il faut diriger, & </s> <s xml:id="echoid-s6031" xml:space="preserve">dont il faut <lb/>vſer pour determiner le tĕps de la vie, <lb/>car ſi l’on manque de demie heure, le <lb/>prognoſtic des années manquera de 7.</s> <s xml:id="echoid-s6032" xml:space="preserve"> <pb o="68" file="00451" n="450" rhead="Preludes de l’Harmonie."/> ou huict ans, que l’enfant doit viure.</s> <s xml:id="echoid-s6033" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6034" xml:space="preserve">D’ailleurs l’enfant ſort par parties du <lb/>ventre de la mere, & </s> <s xml:id="echoid-s6035" xml:space="preserve">lors que les pieds <lb/>ſortent, la teſte eſt deſia frappée pat les <lb/>Aſtres, & </s> <s xml:id="echoid-s6036" xml:space="preserve">ſui<unsure/>ette au deſtin, auant que <lb/>l’on puiſſe faire l’Horoſcope des pieds. <lb/></s> <s xml:id="echoid-s6037" xml:space="preserve">A quoy Cardan répond au 2. </s> <s xml:id="echoid-s6038" xml:space="preserve">Chap. </s> <s xml:id="echoid-s6039" xml:space="preserve">du <lb/>3. </s> <s xml:id="echoid-s6040" xml:space="preserve">liure du Quadripartit, qu’il faut con-<lb/>ſiderer le temps, auquel commence la <lb/>reſpiration; </s> <s xml:id="echoid-s6041" xml:space="preserve">mais il dit ſeulement cela <lb/>pour euiter la diffi@ulté, car vn peu d’air <lb/>rcſpiré ne peut chãger le deſtin: </s> <s xml:id="echoid-s6042" xml:space="preserve">& </s> <s xml:id="echoid-s6043" xml:space="preserve">puis <lb/>l’on remarque qu’il y en a qui reſpirent <lb/>dans le ventre de la mere.</s> <s xml:id="echoid-s6044" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6045" xml:space="preserve">Mais ſans penetrer ſi auant; </s> <s xml:id="echoid-s6046" xml:space="preserve">c’eſt cho-<lb/>ſe aſſeurée que nul Aſtrologue ne ſçau-<lb/>roit remarquer le peu de temps qui eſt <lb/>a entre la naiſſance de deux enfans iu-<lb/>meaux, & </s> <s xml:id="echoid-s6047" xml:space="preserve">qu’ils manquent le plus ſou-<lb/>uent à prendre le vray temps de la naiſ-<lb/>ſance, des iours entiers.</s> <s xml:id="echoid-s6048" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6049" xml:space="preserve">Quant à ceux qui ſe ſeruent des hor-<lb/>loges ordinaires, l’experience monſtre <lb/>qu’elles ſont ſi differentes que l’on en <lb/>prend la comparaiſon pour ſignifier le <lb/>diſcord, & </s> <s xml:id="echoid-s6050" xml:space="preserve">le deſordre. </s> <s xml:id="echoid-s6051" xml:space="preserve">Et ſi l’on vſe de <lb/>l’Aſtrolable, ſuiuant le conſeil de Pto-<lb/>lomée, l’õ ſçait premierement que ceux <pb o="69" file="00452" n="451" rhead="Preludes de l’Harmonie."/> qui dreſſent la figure de la natiuité, n’õt <lb/>pas l’Aſtrolabe en main tandis que la <lb/>femme eſt en trauail: </s> <s xml:id="echoid-s6052" xml:space="preserve">& </s> <s xml:id="echoid-s6053" xml:space="preserve">le Ciel eſt ſou-<lb/>uent ſi couuert, tãt de iour que de nuit, <lb/>que l’on ne voit point le Soleil, ny les <lb/>étoiles, dont on n’auoit pas connu les <lb/>vrays lieux que iuſques à preſent; </s> <s xml:id="echoid-s6054" xml:space="preserve">& </s> <s xml:id="echoid-s6055" xml:space="preserve"><lb/>puis la vraye h@uteur du Pole & </s> <s xml:id="echoid-s6056" xml:space="preserve">la lon-<lb/>gitude n’eſt connuë qu en fort peu de <lb/>lieux. </s> <s xml:id="echoid-s6057" xml:space="preserve">A quoy l’on peut adiouſter le <lb/>méconte qui vient des refractions, la <lb/>mauuaiſe fabrique, ou la petiteſſe des <lb/>inſtrumens, & </s> <s xml:id="echoid-s6058" xml:space="preserve">mille autres circonſtan-<lb/>ces des obſeruations, qui empeſchent <lb/>que l’on puiſſe remarquer levray temps <lb/>de la natiuité.</s> <s xml:id="echoid-s6059" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6060" xml:space="preserve">Car quant aux 3. </s> <s xml:id="echoid-s6061" xml:space="preserve">manieres qui leur <lb/>ſeruent pour iuſtifier le temps, dont la <lb/>premiere s’appelle Trutina Hermetis, la <lb/>Balance, ou le Trebuchet d’Hermes, qu’ils <lb/>tirent de la 51. </s> <s xml:id="echoid-s6062" xml:space="preserve">ſentence du Centiloque <lb/>de Ptolomée, où il eſt dit que l’Horoſ-<lb/>cope ſe rencontre au meſme ſigne, au-<lb/>quel eſtoit la Lune au temps de la con-<lb/>ceptiõ, ou au ſigne oppoſé, ils n’en peu-<lb/>uent tirer de certitude, ny ayant nullo <lb/>apparĕce de croite qu’ils puiſſent trou-<lb/>uer le temps de la naiſſance par celuy <pb o="70" file="00453" n="452" rhead="Preludes de l’Harmonie."/> de la conception, qu’ils ne ſçauent pas. <lb/></s> <s xml:id="echoid-s6063" xml:space="preserve">Et Ptolomée parle ſeulement du ſigne, <lb/>& </s> <s xml:id="echoid-s6064" xml:space="preserve">non du degré, ou de la minute, & </s> <s xml:id="echoid-s6065" xml:space="preserve"><lb/>conſequemment ils peuuent s’abuſer <lb/>de deux heures, puis qu’vn ſigne, qui à <lb/>30. </s> <s xml:id="echoid-s6066" xml:space="preserve">degrez, employe deux heures à ſe <lb/>leuer.</s> <s xml:id="echoid-s6067" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6068" xml:space="preserve">La 2. </s> <s xml:id="echoid-s6069" xml:space="preserve">maniere qu’ils appellent, Ani-<lb/>modar, ou Almute & </s> <s xml:id="echoid-s6070" xml:space="preserve">Almuſteli, n’eſt <lb/>pas meilleure, quoy que Ptolomée l’ĕ-<lb/>ſeigne au chap. </s> <s xml:id="echoid-s6071" xml:space="preserve">2. </s> <s xml:id="echoid-s6072" xml:space="preserve">du 3. </s> <s xml:id="echoid-s6073" xml:space="preserve">liure, où il dit <lb/>qu’il faut obſeruer la Lune pleine, ou <lb/>nouuelle, qui precede immediatement <lb/>la naiſſance, & </s> <s xml:id="echoid-s6074" xml:space="preserve">voir quel planette à la <lb/>principale authotité dans le 6. </s> <s xml:id="echoid-s6075" xml:space="preserve">lieu du <lb/>Ciel, dans lequel la conjonction, ou <lb/>l’oppoſition eſt arriuée, afin de remar-<lb/>qué le degré du ſigne, que tient le meſ-<lb/>me planette au temps de la naiſſance, <lb/>& </s> <s xml:id="echoid-s6076" xml:space="preserve">conſequemment dans l’Horoſcope, <lb/>& </s> <s xml:id="echoid-s6077" xml:space="preserve">de comparer le nombre de ce degré <lb/>auec celuy du degré de l’Orient, & </s> <s xml:id="echoid-s6078" xml:space="preserve">du <lb/>milieu du Ciel, car ils veulent que le <lb/>nombre de ſes degrez ſoit égal à celuy <lb/>dont il eſt plus proche.</s> <s xml:id="echoid-s6079" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6080" xml:space="preserve">Mais outre que l’experience monſtre <lb/>le contraire, & </s> <s xml:id="echoid-s6081" xml:space="preserve">que cette methode n’a <lb/>point d’autre fondement que l’imagi- <pb o="71" file="00454" n="453" rhead="Preludes de l’Harmonie."/> nation, elle ne peut eſtre iuſte d’auec <lb/>les climats differents, où pluſieurs peu-<lb/>uent naiſtre à meſme heure, en apres, lo <lb/>temps que l’on prend, peut tromper en <lb/>mille façons, cemme ſçauent tres-bien <lb/>ceux qui font les obſeruations du Ciel.</s> <s xml:id="echoid-s6082" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6083" xml:space="preserve">La troiſieſme maniere ſe prend des <lb/>accidens de la vie de celuy, dont on <lb/>dreſſe la figure, dautant que Cardan dit <lb/>au 158. </s> <s xml:id="echoid-s6084" xml:space="preserve">du 6. </s> <s xml:id="echoid-s6085" xml:space="preserve">des Aphoriſmes, que les <lb/>Sages ne iugent pas ſeulement de l’en-<lb/>fant par la naiſſance, mais auſſi de la <lb/>naiſſance par l’enfant; </s> <s xml:id="echoid-s6086" xml:space="preserve">car comme l’on <lb/>ſe ſert de la naiſſance pour trouuer le <lb/>temps des accidens, qui doiuent arriuer <lb/>à l’enfant par le moyen des directions, <lb/>des tranſitions, & </s> <s xml:id="echoid-s6087" xml:space="preserve">des profections an-<lb/>nuelles, de meſme l’on trouue le temps <lb/>de la naiſſance par leſdits accidens. <lb/></s> <s xml:id="echoid-s6088" xml:space="preserve"><emph style="sc">M</emph>ais cette methode ne peut ſeruir pour <lb/>l’enfant, auquel il n’eſt point arriué do <lb/>notable accident, & </s> <s xml:id="echoid-s6089" xml:space="preserve">tout ce qu’ils di-<lb/>ſent dc ces accidens, n’a nulle preuue. </s> <s xml:id="echoid-s6090" xml:space="preserve"><lb/>Et bien qu’ils euſſent trouué le vray <lb/>point de la natiuité, il ne s’enſuit nul-<lb/>lement qu’ils puiſſent predire aucune <lb/>choſe, dautant qu’ils diuiſent le Ciel en <lb/>12. </s> <s xml:id="echoid-s6091" xml:space="preserve">parties par le moyen des ſix cercles, <pb o="72" file="00455" n="454" rhead="Preludes de l’Harmonie."/> qui le couppent en deux points oppo-<lb/>ſez, afin qu’ils diuiſent le Zodiaque en <lb/>12. </s> <s xml:id="echoid-s6092" xml:space="preserve">parties, dont celle qui eſt ſouz l’ho-<lb/>rizon, & </s> <s xml:id="echoid-s6093" xml:space="preserve">qui commence à ſe leuer, eſt <lb/>appellée premiere maiſon, & </s> <s xml:id="echoid-s6094" xml:space="preserve">celle qui <lb/>ſuit ſouz l’horizon, eſt la ſeconde, & </s> <s xml:id="echoid-s6095" xml:space="preserve"><lb/>ainſi conſequemment des autres en al-<lb/>lant de la main droito à la gauche. </s> <s xml:id="echoid-s6096" xml:space="preserve">Mais <lb/>ils ſont ſi differents dans leurs opinions <lb/>en ce qui cõcerne la queſtiõ des points <lb/>de l’interſection, qu’il n’eſt pas poſſible <lb/>de les accorder: </s> <s xml:id="echoid-s6097" xml:space="preserve">car les vnes couppent <lb/>les cercles du Ciel au pole du Zodia-<lb/>que, les autres au pole du monde, & </s> <s xml:id="echoid-s6098" xml:space="preserve">les <lb/>autres aux points, auſquels les Meri-<lb/>diens couppent l’horizon. </s> <s xml:id="echoid-s6099" xml:space="preserve">Or ceux qui <lb/>couppent les cercles aux poles du Zo-<lb/>diaque, les diuiſent en 12. </s> <s xml:id="echoid-s6100" xml:space="preserve">parties éga-<lb/>les, ou ſeulemĕt les arcs oppoſez, qu’ils <lb/>appellent demidiurnes, & </s> <s xml:id="echoid-s6101" xml:space="preserve">deminoctur-<lb/>nes, en 3. </s> <s xml:id="echoid-s6102" xml:space="preserve">parties égales. </s> <s xml:id="echoid-s6103" xml:space="preserve">Les Chaldeans <lb/>ont ſuiuy la premiere maniere, comme <lb/>remarque Sexte Empirique, quoy que <lb/>Ptolomée la reiette au chap. </s> <s xml:id="echoid-s6104" xml:space="preserve">11. </s> <s xml:id="echoid-s6105" xml:space="preserve">du 3. <lb/></s> <s xml:id="echoid-s6106" xml:space="preserve">liure, & </s> <s xml:id="echoid-s6107" xml:space="preserve">apres luy pluſieurs autres, com-<lb/>me Firmic, Schonner, & </s> <s xml:id="echoid-s6108" xml:space="preserve">Cardan, qui <lb/>la nomment égale.</s> <s xml:id="echoid-s6109" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6110" xml:space="preserve">Gauric ſuit la 2. </s> <s xml:id="echoid-s6111" xml:space="preserve">maniere, laquelle <pb o="73" file="00456" n="455" rhead="Preludes de l’Harmonie."/> Scali<unsure/>er attribuë aux Indiens, ſur le 3. <lb/></s> <s xml:id="echoid-s6112" xml:space="preserve">liure de Manile; </s> <s xml:id="echoid-s6113" xml:space="preserve">mais ils diminuënt 8. </s> <s xml:id="echoid-s6114" xml:space="preserve"><lb/>degrez au commencement de chaque <lb/>maiſon, & </s> <s xml:id="echoid-s6115" xml:space="preserve">de chaque lieu des planet-<lb/>tes.</s> <s xml:id="echoid-s6116" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6117" xml:space="preserve">Ceux qui couppent les cercles an po-<lb/>le du monde, accommodent les arcs <lb/>deminocturnes, & </s> <s xml:id="echoid-s6118" xml:space="preserve">demidiurnes à l’E-<lb/>quateur par le moyen des deux princi-<lb/>paux cercles des declinaiſons, qui ſub-<lb/>diuiſent les quarts de l’Equateur par <lb/>d’autres cercles en 3. </s> <s xml:id="echoid-s6119" xml:space="preserve">parties égales; <lb/></s> <s xml:id="echoid-s6120" xml:space="preserve">d’où il arriue qu’ils. </s> <s xml:id="echoid-s6121" xml:space="preserve">diuiſent le Zodia-<lb/>que d’vne autre façon en 12. </s> <s xml:id="echoid-s6122" xml:space="preserve">parties é-<lb/>gales. </s> <s xml:id="echoid-s6123" xml:space="preserve">Or Acabicius, & </s> <s xml:id="echoid-s6124" xml:space="preserve">ſon commenta-<lb/>teur Iean de Saxe ſuiuent cette ma-<lb/>niere.</s> <s xml:id="echoid-s6125" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6126" xml:space="preserve">Finalement ceux qui ſe ſeruent des <lb/>ſections de l’horizon, & </s> <s xml:id="echoid-s6127" xml:space="preserve">du Meridien, <lb/>diuiſent l’Equateur en 12. </s> <s xml:id="echoid-s6128" xml:space="preserve">parties éga-<lb/>les, & </s> <s xml:id="echoid-s6129" xml:space="preserve">conſequemment le Zodiaque <lb/>en 12. </s> <s xml:id="echoid-s6130" xml:space="preserve">partios inegales, dont les parties <lb/>diurnes, & </s> <s xml:id="echoid-s6131" xml:space="preserve">nocturnes oppoſées ſont ſeu-<lb/>lement égales.</s> <s xml:id="echoid-s6132" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6133" xml:space="preserve">Il arriue la meſme choſe à ceux qui ſe <lb/>ſeruent du premier vertical au lieu de <lb/>l’Equateur; </s> <s xml:id="echoid-s6134" xml:space="preserve">& </s> <s xml:id="echoid-s6135" xml:space="preserve">Iean du Mont Royal <lb/>auec Aben<emph style="sc">E</emph>zra ſuit cette maniere, qu’il <pb o="74" file="00457" n="456" rhead="Preludes de l’Harmonie."/> appelle Rationelle, laquelle eſt mainte-<lb/>nant ſuiuie d’vn grãd nombre d’Aſtro-<lb/>logues, quoy que Campan & </s> <s xml:id="echoid-s6136" xml:space="preserve">Gazule <lb/>ſuiuent l’autre.</s> <s xml:id="echoid-s6137" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6138" xml:space="preserve">Quant aux 12. </s> <s xml:id="echoid-s6139" xml:space="preserve">maiſons, ils nomment <lb/>la premiere l’ Horoſcope, la maiſon de la <lb/>vie, du temperamment, & </s> <s xml:id="echoid-s6140" xml:space="preserve">des acci-<lb/>dents. </s> <s xml:id="echoid-s6141" xml:space="preserve">La 2. </s> <s xml:id="echoid-s6142" xml:space="preserve">la porte inferieure, & </s> <s xml:id="echoid-s6143" xml:space="preserve">la mai-<lb/>ſon desricheſſes, que l’on acquiert par <lb/>induſtrie, la 3. </s> <s xml:id="echoid-s6144" xml:space="preserve">Deeſſe, & </s> <s xml:id="echoid-s6145" xml:space="preserve">la maiſon des <lb/>freres, & </s> <s xml:id="echoid-s6146" xml:space="preserve">des petits voyages. </s> <s xml:id="echoid-s6147" xml:space="preserve">La 4. </s> <s xml:id="echoid-s6148" xml:space="preserve">le <lb/>profond du Ciel. </s> <s xml:id="echoid-s6149" xml:space="preserve">La 5. </s> <s xml:id="echoid-s6150" xml:space="preserve">bunne fortune, & </s> <s xml:id="echoid-s6151" xml:space="preserve"><lb/>maiſon des enfans. </s> <s xml:id="echoid-s6152" xml:space="preserve">La 6. </s> <s xml:id="echoid-s6153" xml:space="preserve">mauuaiſe for-<lb/>tune, & </s> <s xml:id="echoid-s6154" xml:space="preserve">maiſon de la ſanté, des mala-<lb/>dies, & </s> <s xml:id="echoid-s6155" xml:space="preserve">des ſeruiteurs. </s> <s xml:id="echoid-s6156" xml:space="preserve">La 7. </s> <s xml:id="echoid-s6157" xml:space="preserve">le couchant, <lb/>la maiſon du mariage, & </s> <s xml:id="echoid-s6158" xml:space="preserve">des achapts, <lb/>& </s> <s xml:id="echoid-s6159" xml:space="preserve">c. </s> <s xml:id="echoid-s6160" xml:space="preserve">La 8. </s> <s xml:id="echoid-s6161" xml:space="preserve">le principe de la mort, & </s> <s xml:id="echoid-s6162" xml:space="preserve">la mai-<lb/>ſon desthreſors cachez. </s> <s xml:id="echoid-s6163" xml:space="preserve">La 9. </s> <s xml:id="echoid-s6164" xml:space="preserve">Dieu, & </s> <s xml:id="echoid-s6165" xml:space="preserve"><lb/>la maiſon de la Religion, des ſonges, <lb/>& </s> <s xml:id="echoid-s6166" xml:space="preserve">des longs voyages. </s> <s xml:id="echoid-s6167" xml:space="preserve">La 10. </s> <s xml:id="echoid-s6168" xml:space="preserve">le milieu du <lb/>Cicl, & </s> <s xml:id="echoid-s6169" xml:space="preserve">la maiſon des dignitez, & </s> <s xml:id="echoid-s6170" xml:space="preserve">des <lb/>conditions de la vie. </s> <s xml:id="echoid-s6171" xml:space="preserve">L’onzieſme, le <lb/>bon demon, & </s> <s xml:id="echoid-s6172" xml:space="preserve">la maiſon des amis. </s> <s xml:id="echoid-s6173" xml:space="preserve">La 12. <lb/></s> <s xml:id="echoid-s6174" xml:space="preserve">le mauuais demon, & </s> <s xml:id="echoid-s6175" xml:space="preserve">la maiſon des enne-<lb/>mis, & </s> <s xml:id="echoid-s6176" xml:space="preserve">des priſons.</s> <s xml:id="echoid-s6177" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6178" xml:space="preserve">Iìs adjouſtent que la 1, 4, 7, & </s> <s xml:id="echoid-s6179" xml:space="preserve">10. </s> <s xml:id="echoid-s6180" xml:space="preserve">ſont <lb/>les angles d’ou dependent les autres en <lb/>qualité de ſuccedentes, & </s> <s xml:id="echoid-s6181" xml:space="preserve">de cheutes:</s> <s xml:id="echoid-s6182" xml:space="preserve"> <pb o="75" file="00458" n="457" rhead="Preludes de l’Harmonie."/> que la 1, 2, & </s> <s xml:id="echoid-s6183" xml:space="preserve">3, qui ſuiuent, font le <lb/>quart de l’<unsure/>ccidĕt, de l’Autonne, & </s> <s xml:id="echoid-s6184" xml:space="preserve">de <lb/>la melancholie: </s> <s xml:id="echoid-s6185" xml:space="preserve">que les 3. </s> <s xml:id="echoid-s6186" xml:space="preserve">autres ſont <lb/>pour le Midy, pour l’Eſté, & </s> <s xml:id="echoid-s6187" xml:space="preserve">pour la <lb/>cholere, & </s> <s xml:id="echoid-s6188" xml:space="preserve">les 3. </s> <s xml:id="echoid-s6189" xml:space="preserve">dernieres pour l’Oriĕt, <lb/>& </s> <s xml:id="echoid-s6190" xml:space="preserve">pour les ſanguins.</s> <s xml:id="echoid-s6191" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6192" xml:space="preserve">Ie laiſſe mille autres choſes qui ſont ſi <lb/>ridicules que ie n’oſe les rapporter: </s> <s xml:id="echoid-s6193" xml:space="preserve">par <lb/>exemple, que la premiere maiſon preſi-<lb/>de au blanc, la 2. </s> <s xml:id="echoid-s6194" xml:space="preserve">au verd, & </s> <s xml:id="echoid-s6195" xml:space="preserve">c. </s> <s xml:id="echoid-s6196" xml:space="preserve">Car <lb/>pourquoy le Ciel eſt-il pluſtoſt diuiſé <lb/>en 12. </s> <s xml:id="echoid-s6197" xml:space="preserve">parties, qu’en 8, 10, 16. </s> <s xml:id="echoid-s6198" xml:space="preserve">20, ou 60, <lb/>parties? </s> <s xml:id="echoid-s6199" xml:space="preserve">En apres cette diuiſion ne ſe-<lb/>roit-elle pas auſſi bonne, ou meilleure, <lb/>ſi elle ſe faiſoit par 12. </s> <s xml:id="echoid-s6200" xml:space="preserve">cercles paralleles <lb/>à l’horizon? </s> <s xml:id="echoid-s6201" xml:space="preserve">ou en 12. </s> <s xml:id="echoid-s6202" xml:space="preserve">qui ſe coupaſſent <lb/>au vertical, & </s> <s xml:id="echoid-s6203" xml:space="preserve">au point oppoſé? </s> <s xml:id="echoid-s6204" xml:space="preserve">Ets’ils <lb/>veulent que le Zodiaque ſoit diuiſé en <lb/>12. </s> <s xml:id="echoid-s6205" xml:space="preserve">parties égales, que ne le diuiſent-ils <lb/>tous d’vne meſme diuiſion, afin que ce <lb/>qui eſt la premiere maiſon à l’vn, ne ſer-<lb/>ue pas d’vne autre maiſon à l’autre?</s> <s xml:id="echoid-s6206" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6207" xml:space="preserve">A quoy l’on peut adjouſter que la <lb/>maiſon qui eſt toute ſur l’horiſon, doit <lb/>pluſtoſt eſtre la premiere maiſon que la <lb/>12. </s> <s xml:id="echoid-s6208" xml:space="preserve">ou du moins ils deuroient attendre <lb/>que la moitié de cette maiſon fuſt le-<lb/>uée; </s> <s xml:id="echoid-s6209" xml:space="preserve">& </s> <s xml:id="echoid-s6210" xml:space="preserve">la 10. </s> <s xml:id="echoid-s6211" xml:space="preserve">maiſon, qui eſt celle du <pb o="76" file="00459" n="458" rhead="Preludes de l’Harmonie."/> milieu du Ciel, deuroit eſtre moitié <lb/>vers le couchant, & </s> <s xml:id="echoid-s6212" xml:space="preserve">moitié vers le le-<lb/>uant, & </s> <s xml:id="echoid-s6213" xml:space="preserve">meriteroit mieux le nom de <lb/>premiere que l’autre; </s> <s xml:id="echoid-s6214" xml:space="preserve">ou bien ils de-<lb/>uroient donner cette prerogatiue à la <lb/>maiſon, dans laquelle le Soleil ſe ren-<lb/>contre, puis qu’il eſt le Roy des Aſtres.</s> <s xml:id="echoid-s6215" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6216" xml:space="preserve">D’ailleurs, ſi la maiſon, qui commen-<lb/>ce à ſe leuer, eſt pour la vie, que celle <lb/>qui ſe couche, n’eſt elle pour la mort? <lb/></s> <s xml:id="echoid-s6217" xml:space="preserve">pourquoy la 8. </s> <s xml:id="echoid-s6218" xml:space="preserve">maiſon fait elle pluſtoſt <lb/>mourir? </s> <s xml:id="echoid-s6219" xml:space="preserve">d’où contracte elle vne ſi grã-<lb/>de malice? </s> <s xml:id="echoid-s6220" xml:space="preserve">Les maiſons ont elles cette <lb/>force, ou cette ſignification du premier <lb/>mobile? </s> <s xml:id="echoid-s6221" xml:space="preserve">Comment la meſme partie de <lb/>ce Ciel eſt-elle heureuſe, & </s> <s xml:id="echoid-s6222" xml:space="preserve">puis mal-<lb/>heureuſe ſelon les differentes maiſons? </s> <s xml:id="echoid-s6223" xml:space="preserve"><lb/>Pourquoy vne partie de ce Ciel eſt elle <lb/>plus mal-heureuſe dans l’vne des mai-<lb/>ſons que dans les autres.</s> <s xml:id="echoid-s6224" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6225" xml:space="preserve">Ceſt choſe eſtrange que ♃ donne de <lb/>grands biens dans la premiere, & </s> <s xml:id="echoid-s6226" xml:space="preserve">de <lb/>grands maux dans la 12. </s> <s xml:id="echoid-s6227" xml:space="preserve">& </s> <s xml:id="echoid-s6228" xml:space="preserve">qu’il donne <lb/>des fols & </s> <s xml:id="echoid-s6229" xml:space="preserve">des roturiers dãs la 8. </s> <s xml:id="echoid-s6230" xml:space="preserve">au lieu <lb/>des dignitez qu’il donne dans la 10. </s> <s xml:id="echoid-s6231" xml:space="preserve">& </s> <s xml:id="echoid-s6232" xml:space="preserve"><lb/>des dignitez Eceleſiaſtiques qu’il don-<lb/>nent dans la cinquieſme.</s> <s xml:id="echoid-s6233" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6234" xml:space="preserve">Lors que quelq’vn vient au monde <pb o="77" file="00460" n="459" rhead="Preludes de l’Harmonie."/> pourquoy le deſtin de ſes freres eſt-il <lb/>écrit dans la troiſieſme maiſon, celuy <lb/>des parens dans la 4. </s> <s xml:id="echoid-s6235" xml:space="preserve">celuy des fils dans <lb/>la 5. </s> <s xml:id="echoid-s6236" xml:space="preserve">celuy de la femme dans la 7. </s> <s xml:id="echoid-s6237" xml:space="preserve">& </s> <s xml:id="echoid-s6238" xml:space="preserve">ce-<lb/>luy des amis dans l’onzieſme? </s> <s xml:id="echoid-s6239" xml:space="preserve">Qui à <lb/>marqué le logis aux grands animaux <lb/>dans la 12. </s> <s xml:id="echoid-s6240" xml:space="preserve">eſtans petits dans la 6. </s> <s xml:id="echoid-s6241" xml:space="preserve">quel <lb/>Mercure à mis les longs voyages dans <lb/>la 9. </s> <s xml:id="echoid-s6242" xml:space="preserve">& </s> <s xml:id="echoid-s6243" xml:space="preserve">les courts dans la troiſieſme?</s> <s xml:id="echoid-s6244" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6245" xml:space="preserve">Mais cõme peut on eſperer de trou-<lb/>uer quelque verité dans l’Aſtrologie, <lb/>puiſque les principaux Autheurs ne <lb/>s’accordent pas en ces maiſons, qui ſer-<lb/>uent de fondèment à la ſcience? </s> <s xml:id="echoid-s6246" xml:space="preserve">Car <lb/>Ptolomée iuge autrement que les au-<lb/>tres: </s> <s xml:id="echoid-s6247" xml:space="preserve">& </s> <s xml:id="echoid-s6248" xml:space="preserve">Manile les commence par la <lb/>Fortune, & </s> <s xml:id="echoid-s6249" xml:space="preserve">non par l’Horoſcope, dont <lb/>elle eſt touſiours auſſi éloignée, que le <lb/>Soleil de la Lune.</s> <s xml:id="echoid-s6250" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6251" xml:space="preserve">Ie laiſſe pluſieurs diuiſions des ſignes <lb/>en chauds, humides, maſculins, femi-<lb/>nins, beaux, laids, muets, parlants, & </s> <s xml:id="echoid-s6252" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s6253" xml:space="preserve">qui ſeruent pluſtoſt pour faire rire, que <lb/>pour inſtruire, & </s> <s xml:id="echoid-s6254" xml:space="preserve">qui n’ont ſeulement <lb/>pas l’ombre de la raiſon, ni de la vraye-<lb/>ſemblance pour leur fondement. </s> <s xml:id="echoid-s6255" xml:space="preserve">Et ſi <lb/>l’on conſidere les nouueaux deſtins <lb/>qu’ils donnent à chaque degré pour <pb o="78" file="00461" n="460" rhead="Preludes de l’Harmonie."/> eſtablir leur Monomerie & </s> <s xml:id="echoid-s6256" xml:space="preserve">Myriogeneſe, <lb/>l’on s’eſtonnera que l’ame raiſonnable <lb/>d’vn homme puiſſe tõber en de ſi eſtrã-<lb/>ges manies: </s> <s xml:id="echoid-s6257" xml:space="preserve">Car, diſent-ils, ſi l’Ho-<lb/>roſcope eſt au premier degré d’Aries, il <lb/>ſignifie la naiſſance des Roys; </s> <s xml:id="echoid-s6258" xml:space="preserve">s’il eſt en <lb/>la 2. </s> <s xml:id="echoid-s6259" xml:space="preserve">il ſignifie les larrons; </s> <s xml:id="echoid-s6260" xml:space="preserve">il ſignifie les <lb/>borgnes dãs la 3. </s> <s xml:id="echoid-s6261" xml:space="preserve">& </s> <s xml:id="echoid-s6262" xml:space="preserve">c. </s> <s xml:id="echoid-s6263" xml:space="preserve">Et afin qu’ils trou-<lb/>uent leur conte, ils diuiſent encore les <lb/>degrez en minutes, & </s> <s xml:id="echoid-s6264" xml:space="preserve">diſent que le Be-<lb/>lier preſide à la teſte, le Taureau a<unsure/>u col, <lb/>& </s> <s xml:id="echoid-s6265" xml:space="preserve">c. </s> <s xml:id="echoid-s6266" xml:space="preserve">que le Liõ domine à l’Italie, le Be-<lb/>lier à la France, & </s> <s xml:id="echoid-s6267" xml:space="preserve">particulierement à la <lb/>ville de Marſeille: </s> <s xml:id="echoid-s6268" xml:space="preserve">que la Vierge gou-<lb/>uerne Paris, le Sagittaire Auignon, etc.</s> <s xml:id="echoid-s6269" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6270" xml:space="preserve">Quant aux maiſons des planettes, ils <lb/>logent la Lune dans l’Eſcreuiſſe, & </s> <s xml:id="echoid-s6271" xml:space="preserve">le <lb/>Soleil au Lion, car ils ne leur donnent <lb/>qu’vne maiſon, quoy qu’ils en donnent <lb/>2. </s> <s xml:id="echoid-s6272" xml:space="preserve">aux autres: </s> <s xml:id="echoid-s6273" xml:space="preserve">par exĕple, les Iumeaux, <lb/>& </s> <s xml:id="echoid-s6274" xml:space="preserve">la Vierge à Mercure, dont l’vne eſt <lb/>pour leiour, & </s> <s xml:id="echoid-s6275" xml:space="preserve">l’autre pour la nuict: </s> <s xml:id="echoid-s6276" xml:space="preserve">& </s> <s xml:id="echoid-s6277" xml:space="preserve"><lb/>afin que les planettes ayent quelque re-<lb/>fuge dans leurs banniſſements, les lieux <lb/>du Ciel oppoſez à leurs maiſons leur <lb/>ſeruent d’exil, comme les lieux oppo-<lb/>ſez à leurs exaltations leurs ſeruent de <lb/>cheutes: </s> <s xml:id="echoid-s6278" xml:space="preserve">Car ils exaltent le ☉ au Be- <pb o="79" file="00462" n="461" rhead="Preludes de l’Harmonie."/> lier, & </s> <s xml:id="echoid-s6279" xml:space="preserve">♂ an Scorpion. </s> <s xml:id="echoid-s6280" xml:space="preserve">Or ils ne veu-<lb/>lent pas que le Lion, & </s> <s xml:id="echoid-s6281" xml:space="preserve">l’A quarius ſer-<lb/>uent d’exaltatiõ, ou de cheute à aucun <lb/>planette.</s> <s xml:id="echoid-s6282" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6283" xml:space="preserve">Et comme s’ils eſtoient les fourriers <lb/>de l’armée Celeſte, ils marquent les <lb/>logis à chaque planette qu’ils exaltent, <lb/>ou depriment comme ils veulent, ſans <lb/>oublier la teſte & </s> <s xml:id="echoid-s6284" xml:space="preserve">la queuë du Dragon, <lb/>qu’ils exaltent dans les Iumeaux, & </s> <s xml:id="echoid-s6285" xml:space="preserve">dãs <lb/>le Verſeau, de ſorte que l’on croiroit à <lb/>les ouïr parler qu’ils ſont les Roys, & </s> <s xml:id="echoid-s6286" xml:space="preserve">les <lb/>ſouuerains maiſtres du Ciel.</s> <s xml:id="echoid-s6287" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6288" xml:space="preserve">Ils diſpoſent encore les degrez des <lb/>ſignes pat dizaines, qu’ils appellĕt faces, <lb/>afin que les planettes ayent leurs faces: <lb/></s> <s xml:id="echoid-s6289" xml:space="preserve">par exemple, que ♂ ayt les 10. </s> <s xml:id="echoid-s6290" xml:space="preserve">premiers <lb/>degrez d’Aries: </s> <s xml:id="echoid-s6291" xml:space="preserve">que le Soleil ayt les 10. </s> <s xml:id="echoid-s6292" xml:space="preserve"><lb/>qui ſuiuent, & </s> <s xml:id="echoid-s6293" xml:space="preserve">♀ les 10. </s> <s xml:id="echoid-s6294" xml:space="preserve">derniers: </s> <s xml:id="echoid-s6295" xml:space="preserve">☿ à les <lb/>10. </s> <s xml:id="echoid-s6296" xml:space="preserve">premiers du Taureau, & </s> <s xml:id="echoid-s6297" xml:space="preserve">ainſi des <lb/>autres.</s> <s xml:id="echoid-s6298" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6299" xml:space="preserve">A quoy ils adiouſtĕt les Termes, qu’ils <lb/>appelient fins, afin de les donner aux 5. <lb/></s> <s xml:id="echoid-s6300" xml:space="preserve">moindres planettes: </s> <s xml:id="echoid-s6301" xml:space="preserve">car ♃ à les 6. </s> <s xml:id="echoid-s6302" xml:space="preserve">pre-<lb/>miers degrez d’Aries: </s> <s xml:id="echoid-s6303" xml:space="preserve">♀ à les 6. </s> <s xml:id="echoid-s6304" xml:space="preserve">ou 8. </s> <s xml:id="echoid-s6305" xml:space="preserve"><lb/>ſuiuans: </s> <s xml:id="echoid-s6306" xml:space="preserve">☿ les 6. </s> <s xml:id="echoid-s6307" xml:space="preserve">ou 8. </s> <s xml:id="echoid-s6308" xml:space="preserve">qui ſuiuent, & </s> <s xml:id="echoid-s6309" xml:space="preserve"><lb/>ainſi des autres. </s> <s xml:id="echoid-s6310" xml:space="preserve">Ie laiſſe maintenant <lb/>les Trigones, dont ils departent celuy, <pb o="80" file="00463" n="462" rhead="Preludes de l’Harmonie."/> du feu, qu’ils appellent ignée, au ☉, & </s> <s xml:id="echoid-s6311" xml:space="preserve">à <lb/>♃, & </s> <s xml:id="echoid-s6312" xml:space="preserve">mille autres reſueries, qui n’ont <lb/>nul fondement.</s> <s xml:id="echoid-s6313" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6314" xml:space="preserve">Or ils ont ſi peu de iugement qu’ils ne <lb/>dõnent quaſi nulle vertu aux ſignes, & </s> <s xml:id="echoid-s6315" xml:space="preserve"><lb/>aux Aſteriſmes qui ſont hors du Zodia-<lb/>que, quoy qu’ils ſoient en plus grand <lb/>nombre que les autres, & </s> <s xml:id="echoid-s6316" xml:space="preserve">qu’ils ayent <lb/>des étoiles tres-grandes, & </s> <s xml:id="echoid-s6317" xml:space="preserve">tres-nota-<lb/>bles, comme l’on void dans l’horion, <lb/>auquel ils attribuent fort peu, en com-<lb/>paraiſon de ce qu’ils donnent au petit <lb/>Aſne de l Eſcreuiſſe: </s> <s xml:id="echoid-s6318" xml:space="preserve">car encore qu’il <lb/>ſoit preſque inuiſible, ils diſent neant-<lb/>moins qu’il eſt tres-puiſſant pour exci-<lb/>ter les tempeſtes.</s> <s xml:id="echoid-s6319" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6320" xml:space="preserve">D’ailleurs ils donuent la puiſſance <lb/>d’agir ſur nous aux ſignes du premier <lb/>mobile, & </s> <s xml:id="echoid-s6321" xml:space="preserve">non à ceux du firmament, <lb/>qui retrogradent peu à peu, & </s> <s xml:id="echoid-s6322" xml:space="preserve">vont au <lb/>contraire du mouuement des ſignes du <lb/>premier mobile. </s> <s xml:id="echoid-s6323" xml:space="preserve">De là vient que le Be-<lb/>lier du fit mament eſt maintenant dans <lb/>les poiſſons du premier mobile, & </s> <s xml:id="echoid-s6324" xml:space="preserve">qu’il <lb/>entrera apres dans l’Aquarius, dans le <lb/>Capricorne, & </s> <s xml:id="echoid-s6325" xml:space="preserve">c.</s> <s xml:id="echoid-s6326" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6327" xml:space="preserve">C’eſt dans ce premier mobile qu’ils <lb/>eſtabliſſent leurs Dodecatemories quc <pb o="81" file="00464" n="463" rhead="Preludes de l’Harmonie."/> quelqu’vns diſent eſtre la partie du Zo-<lb/>diaque, à laquelle ſinit le nombre des <lb/>degrez, où ſe rencontre le planette, <lb/>apres qu’il à eſté multiplié par 12: </s> <s xml:id="echoid-s6328" xml:space="preserve">par <lb/>exemple, ſi le planette eſt au 5. </s> <s xml:id="echoid-s6329" xml:space="preserve">degré, <lb/>& </s> <s xml:id="echoid-s6330" xml:space="preserve">5 du Belier, le dodecatemorie finit <lb/>au premier degré des Gemeaux, dãs le-<lb/>quel ils mettent le dodecatemorie du <lb/>planette, parce que 5. </s> <s xml:id="echoid-s6331" xml:space="preserve">5’. </s> <s xml:id="echoid-s6332" xml:space="preserve">multipliez par <lb/>12. </s> <s xml:id="echoid-s6333" xml:space="preserve">donnent 61. </s> <s xml:id="echoid-s6334" xml:space="preserve">leſquels eſtant contez <lb/>dés le commencement du Belier don-<lb/>nent le premier degré des II.</s> <s xml:id="echoid-s6335" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6336" xml:space="preserve">Quant à la force des planettes, ils di-<lb/>ſent que le ☉ échauffe en ſeichant, que <lb/>♂ bruſle, que ♄ ameine le froid, que ♃ <lb/>& </s> <s xml:id="echoid-s6337" xml:space="preserve">♀ ſont les bonnes fortunes, que le ☉, <lb/>♄, & </s> <s xml:id="echoid-s6338" xml:space="preserve">♀ ſont maſles, la ☾, & </s> <s xml:id="echoid-s6339" xml:space="preserve">♀ femel-<lb/>les; </s> <s xml:id="echoid-s6340" xml:space="preserve">& </s> <s xml:id="echoid-s6341" xml:space="preserve">que ☿ eſt androgyne; </s> <s xml:id="echoid-s6342" xml:space="preserve">qu’ils ſont <lb/>plus maſles, lors qu’ils ont plus de lu-<lb/>miere, & </s> <s xml:id="echoid-s6343" xml:space="preserve">qu’ils ſont Orientaux, & </s> <s xml:id="echoid-s6344" xml:space="preserve">di-<lb/>rects: </s> <s xml:id="echoid-s6345" xml:space="preserve">que le ☉, ♄, & </s> <s xml:id="echoid-s6346" xml:space="preserve">♃ ſont diurnes, & </s> <s xml:id="echoid-s6347" xml:space="preserve"><lb/>les autres nocturnes.</s> <s xml:id="echoid-s6348" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6349" xml:space="preserve">Or ils leur departent pluſieurs de-<lb/>grez de force, & </s> <s xml:id="echoid-s6350" xml:space="preserve">de dignitez ſuiuant les <lb/>lieux du Zodiaque où ils ſe rencõtrent: <lb/></s> <s xml:id="echoid-s6351" xml:space="preserve">Car ils leur donnent 5. </s> <s xml:id="echoid-s6352" xml:space="preserve">degrez de force, <lb/>s’ils ſont dans leur maiſon, ils leur on <lb/>donnent 4. </s> <s xml:id="echoid-s6353" xml:space="preserve">pour leur exaltatiõ, 3. </s> <s xml:id="echoid-s6354" xml:space="preserve">pour <pb o="82" file="00465" n="464" rhead="Preludes de l’Harmonie."/> leur triplicité, deux pour leur fin, & </s> <s xml:id="echoid-s6355" xml:space="preserve">vn <lb/>pour leur dizamier, qu’ils appellĕt deca-<lb/>nus: </s> <s xml:id="echoid-s6356" xml:space="preserve">& </s> <s xml:id="echoid-s6357" xml:space="preserve">lors que le planette n’a nulle di-<lb/>gnité, ils diſent qu’il eſt fatal, car ils luy <lb/>donnent diuers degrez de debilité, à <lb/>ſçauoir 5. </s> <s xml:id="echoid-s6358" xml:space="preserve">quãd il eſt hors de ſa maiſon, <lb/>5. </s> <s xml:id="echoid-s6359" xml:space="preserve">dans ſon exil, & </s> <s xml:id="echoid-s6360" xml:space="preserve">4. </s> <s xml:id="echoid-s6361" xml:space="preserve">dans ſa cheute.</s> <s xml:id="echoid-s6362" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6363" xml:space="preserve">Ils appellent l’amas de toutes, ou de <lb/>pluſieurs de ces dignitez le Chariot, & </s> <s xml:id="echoid-s6364" xml:space="preserve">le <lb/>Throſne royal; </s> <s xml:id="echoid-s6365" xml:space="preserve">& </s> <s xml:id="echoid-s6366" xml:space="preserve">quand le planette eſt <lb/>auſſi éloigné du ☉, ou de la ☾, comme <lb/>ſa maiſon eſt éloignée de leur maiſon, <lb/>ils appellent cette dignité Almugée, ou <lb/>Perſone, laquelle n’a qu’vn degré de for-<lb/>ce. </s> <s xml:id="echoid-s6367" xml:space="preserve">Chaque planette à auſſi vne vertu <lb/>particuliere dans chaque ſigne; </s> <s xml:id="echoid-s6368" xml:space="preserve">car ♄ <lb/>apporte pluſieurs maux dans le Belier, <lb/>dans le ♉, il priue de l’heritage pater-<lb/>nel, & </s> <s xml:id="echoid-s6369" xml:space="preserve">c. </s> <s xml:id="echoid-s6370" xml:space="preserve">dans ſa maiſon il depart la fa-<lb/>ueur, dans celle de ♃ il fait mourir le <lb/>pere: </s> <s xml:id="echoid-s6371" xml:space="preserve">de ſorte que s’il eſt direct, il accõ-<lb/>plit ce qu’il promettoit: </s> <s xml:id="echoid-s6372" xml:space="preserve">s’il eſt retro-<lb/>grade, il le reuoque, & </s> <s xml:id="echoid-s6373" xml:space="preserve">s’il eſt ſtation-<lb/>naire, il le retarde.</s> <s xml:id="echoid-s6374" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6375" xml:space="preserve">Ils comparent encore les planettes <lb/>les vns aux autres, afin d’eſtablir leurs <lb/>aſpects, dontle Sextil & </s> <s xml:id="echoid-s6376" xml:space="preserve">le Trin ſont be-<lb/>nefiques, le Quadral, & </s> <s xml:id="echoid-s6377" xml:space="preserve">L’oppoſition ſont <pb o="83" file="00466" n="465" rhead="Preludes de l’Harmonie."/> malefiques, & </s> <s xml:id="echoid-s6378" xml:space="preserve">la Conionction eſt entre-<lb/>deux: </s> <s xml:id="echoid-s6379" xml:space="preserve">& </s> <s xml:id="echoid-s6380" xml:space="preserve">prennent leurs dignitez, & </s> <s xml:id="echoid-s6381" xml:space="preserve"><lb/>leurs debilitez accidentelles de ces aſ-<lb/>pects, comme ils ont pris leurs dignitez <lb/>eſſent@ elles des autres conſiderations, <lb/>dont nous auons parlé deuãt: </s> <s xml:id="echoid-s6382" xml:space="preserve">Carl’aſ-<lb/>pect *** <lb/> des planettes benefiques à 4. </s> <s xml:id="echoid-s6383" xml:space="preserve">de-<lb/>grez de force; </s> <s xml:id="echoid-s6384" xml:space="preserve">auec le ☉, & </s> <s xml:id="echoid-s6385" xml:space="preserve">♀, 3. </s> <s xml:id="echoid-s6386" xml:space="preserve">auccla <lb/>Lune 2. </s> <s xml:id="echoid-s6387" xml:space="preserve">& </s> <s xml:id="echoid-s6388" xml:space="preserve">auec les malefiques, c’eſt à <lb/>dire auec ♄, & </s> <s xml:id="echoid-s6389" xml:space="preserve">♂, 1. </s> <s xml:id="echoid-s6390" xml:space="preserve">& </s> <s xml:id="echoid-s6391" xml:space="preserve">l’aſpect * en a <lb/>touſiours vne moins que le *** <lb/>: </s> <s xml:id="echoid-s6392" xml:space="preserve">le ◻, des <lb/>malefiques a 4. </s> <s xml:id="echoid-s6393" xml:space="preserve">debilitez, & </s> <s xml:id="echoid-s6394" xml:space="preserve">3. </s> <s xml:id="echoid-s6395" xml:space="preserve">auec le <lb/>Soleil: </s> <s xml:id="echoid-s6396" xml:space="preserve">mais les aſpects malefiques des <lb/>planettes benefiques n’ont nulle di-<lb/>gnité.</s> <s xml:id="echoid-s6397" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6398" xml:space="preserve">Or les aſpects ne ſont pas touſiours <lb/>partils, c’eſt à dire exacts, & </s> <s xml:id="echoid-s6399" xml:space="preserve">iuſtes, cat <lb/>ils ſont ſouuent platiques, & </s> <s xml:id="echoid-s6400" xml:space="preserve">l’eſpace qui <lb/>precede le vray aſpect, s’appelle applica-<lb/>tion, comme celuy qui ſuit, & </s> <s xml:id="echoid-s6401" xml:space="preserve">qui ſe fait <lb/>par le planette le plus viſte, ſe nomme <lb/>ſeparation. </s> <s xml:id="echoid-s6402" xml:space="preserve">Ils prennent encore d’autres <lb/>dignitez, ou debilitez des planettes, <lb/>lors qu’ils ſont dans le camizi, ou dans lo <lb/>cœur du Soleil, c’eſt à dire qu’ils luy <lb/>ſont conjoints, & </s> <s xml:id="echoid-s6403" xml:space="preserve">qu’ils ſont bruſlez, ce <lb/>qui arriue tandis qu’ils ne ſont pas éloi-<lb/>gnez de plus de 6. </s> <s xml:id="echoid-s6404" xml:space="preserve">degrez du Soleil, ou <pb o="84" file="00467" n="466" rhead="Preludes de l’Harmonie."/> qu’ils ſont bypauges, c’eſt à dire entre le <lb/>16. </s> <s xml:id="echoid-s6405" xml:space="preserve">degré.</s> <s xml:id="echoid-s6406" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6407" xml:space="preserve">Ie laiſſe pluſieurs autres diuiſions des <lb/>planettes en Orientaux, ou dextres, & </s> <s xml:id="echoid-s6408" xml:space="preserve"><lb/>Occidentaux, ou gauches, & </s> <s xml:id="echoid-s6409" xml:space="preserve">en dirrcts, <lb/>@trogrades, legers, tardifs, & </s> <s xml:id="echoid-s6410" xml:space="preserve">c. </s> <s xml:id="echoid-s6411" xml:space="preserve">afin d’a-<lb/>jouſter ce qu’ils eſtiment dauantage, à <lb/>ſçauoir que chaque planette ſe reſioüit <lb/>dans ſa maiſon, dans laquelle il eſt le <lb/>principal ſignificateur, comme eſt ♄ <lb/>dans la 12; </s> <s xml:id="echoid-s6412" xml:space="preserve">♃ dans l’onzieſme, ♂ dans <lb/>la 10. </s> <s xml:id="echoid-s6413" xml:space="preserve">le Soleil dans la 9. </s> <s xml:id="echoid-s6414" xml:space="preserve">♀ dans la 5. </s> <s xml:id="echoid-s6415" xml:space="preserve">☿ <lb/>dans la 1. </s> <s xml:id="echoid-s6416" xml:space="preserve">& </s> <s xml:id="echoid-s6417" xml:space="preserve">la ☾ dans la 3.</s> <s xml:id="echoid-s6418" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6419" xml:space="preserve">En apres ils ont des forces differentes <lb/>dans les differentes maiſons, dans leſ-<lb/>quelles ils ſe rencontrent: </s> <s xml:id="echoid-s6420" xml:space="preserve">Car ♄ & </s> <s xml:id="echoid-s6421" xml:space="preserve">♂, <lb/>font la vie courte dans la 1. </s> <s xml:id="echoid-s6422" xml:space="preserve">♃ & </s> <s xml:id="echoid-s6423" xml:space="preserve">♀ la <lb/>donnent longue: </s> <s xml:id="echoid-s6424" xml:space="preserve">le ☉ donne les com-<lb/>mendements; </s> <s xml:id="echoid-s6425" xml:space="preserve">☿ la ſcience, & </s> <s xml:id="echoid-s6426" xml:space="preserve">la Lune <lb/>les voyages: </s> <s xml:id="echoid-s6427" xml:space="preserve">♄ & </s> <s xml:id="echoid-s6428" xml:space="preserve">♂ donnent la pauure-<lb/>té dans la 2. </s> <s xml:id="echoid-s6429" xml:space="preserve">dans laquelle ♃ & </s> <s xml:id="echoid-s6430" xml:space="preserve">♀ don-<lb/>nent les richeſſes: </s> <s xml:id="echoid-s6431" xml:space="preserve">le ☉ la beauté, & </s> <s xml:id="echoid-s6432" xml:space="preserve">☿ <lb/>la faueur, & </s> <s xml:id="echoid-s6433" xml:space="preserve">c.</s> <s xml:id="echoid-s6434" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6435" xml:space="preserve">A quoy ils adiouſtent la teſte, & </s> <s xml:id="echoid-s6436" xml:space="preserve">la <lb/>queuë du Dragõ qu’ils marquĕt de ces <lb/>caracteres, la partie de la fortune, qu’ils <lb/>marquent ainſi *** <lb/>, & </s> <s xml:id="echoid-s6437" xml:space="preserve">qui eſt la partie <pb o="85" file="00468" n="467" rhead="Preludes de l’Harmonie."/> du Zo liaque, dans laquelle (en con-<lb/>tant depuis le Belier) tombe le nombre <lb/>compoſé du degré qui s’éleue, c’eſt à di-<lb/>re de l’Horoſcope, & </s> <s xml:id="echoid-s6438" xml:space="preserve">de la diſtance du <lb/>Soleil à la Lune: </s> <s xml:id="echoid-s6439" xml:space="preserve">car la teſte du Dragon <lb/>donne l’honneur dans la 1. </s> <s xml:id="echoid-s6440" xml:space="preserve">la queuë y <lb/>bleſſc l’œil, & </s> <s xml:id="echoid-s6441" xml:space="preserve">*** <lb/> fait que l’on eſt heu-<lb/>reux aux ieux, & </s> <s xml:id="echoid-s6442" xml:space="preserve">aux contracts.</s> <s xml:id="echoid-s6443" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6444" xml:space="preserve">Or le planette quià le plus grand nõ-<lb/>bre de dignitez, eſt le ſeigneur de la fi-<lb/>gure, & </s> <s xml:id="echoid-s6445" xml:space="preserve">de l’année, lors qu’elle eſt dreſ-<lb/>ſée au commencement du printemps: <lb/></s> <s xml:id="echoid-s6446" xml:space="preserve">& </s> <s xml:id="echoid-s6447" xml:space="preserve">lors qu’il à plus de dignitez dans le <lb/>commencement d’vn ſigne, il eſt ſei-<lb/>gneur de la maiſon: </s> <s xml:id="echoid-s6448" xml:space="preserve">& </s> <s xml:id="echoid-s6449" xml:space="preserve">s’il eſt dans le <lb/>premier degré, ils le nomment Almu-<lb/>ten, c’eſt à dire diſpoſiteur de la maiſon: </s> <s xml:id="echoid-s6450" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s6451" xml:space="preserve">c’cſt ſuiuant cette doctrine, qu’ils di-<lb/>ſent le Seigneur de l’aſcendant, de l’Ho-<lb/>roſcope, & </s> <s xml:id="echoid-s6452" xml:space="preserve">c. </s> <s xml:id="echoid-s6453" xml:space="preserve">Ie laiſſe la domination & </s> <s xml:id="echoid-s6454" xml:space="preserve"><lb/>l’empire, qu’ils leur dõnent ſur les heu-<lb/>res, ſur les âges, & </s> <s xml:id="echoid-s6455" xml:space="preserve">ſur les eſtats, & </s> <s xml:id="echoid-s6456" xml:space="preserve">c. </s> <s xml:id="echoid-s6457" xml:space="preserve"><lb/>comme lors qu’ils diſent que ♄ preſide <lb/>à l’agriculture, ♃ à la politique, ♂ à la <lb/>guerre, le Soleil aux honneurs, ♀ à l’a-<lb/>mour, ☿ à la marchandiſe, & </s> <s xml:id="echoid-s6458" xml:space="preserve">la ☾ aux <lb/>voyages.</s> <s xml:id="echoid-s6459" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6460" xml:space="preserve">Parce que ie croy que les fondemens <pb o="86" file="00469" n="468" rhead="Preludes de l’Harmonie."/> de leur doctrine, que i’ay rapportez iuſ-<lb/>ques à preſent, ſont aſſez ridicules pour <lb/>faire voir leur vanité, & </s> <s xml:id="echoid-s6461" xml:space="preserve">la fauſſeté de <lb/>toute l’A ſtrologie Iudiciaire. </s> <s xml:id="echoid-s6462" xml:space="preserve">Car qu’el-<lb/>le apparence y à il que le Belier ſoit de <lb/>la nature du feu, puis qu’il donne tant <lb/>de pluyes, & </s> <s xml:id="echoid-s6463" xml:space="preserve">que l’Ecreuiſſe ſoit de la <lb/>nature de l’cau, ſouz lequel nous endu-<lb/>rons de ſi grandes chaleurs?</s> <s xml:id="echoid-s6464" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6465" xml:space="preserve">Peut-on deſirer vn plus grãd teſmoi-<lb/>gnage de la folie des A ſtrologues, que <lb/>quand on conſidere les beſtes qu’il met-<lb/>tent au Ciel pour nous rendre gras, ou <lb/>maigres: </s> <s xml:id="echoid-s6466" xml:space="preserve">pourquoy le Belier eſt - il plu-<lb/>ſtoſt maſle quele ♉, qui eſt plus chaud? <lb/></s> <s xml:id="echoid-s6467" xml:space="preserve">& </s> <s xml:id="echoid-s6468" xml:space="preserve">pourquoy le Belier preſide-il pluſtoſt <lb/>à la teſte que le Lion, ou l’Ecreuiſſe? </s> <s xml:id="echoid-s6469" xml:space="preserve"><lb/>pourquoy les Poiſſons preſidĕt ils aux <lb/>pieds, veu qu’ils n’en ont point, & </s> <s xml:id="echoid-s6470" xml:space="preserve">qu’ils <lb/>ſontioints au Belier?</s> <s xml:id="echoid-s6471" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6472" xml:space="preserve">La preference qu’ils leur donnent ſur <lb/>la ſuitte des années, & </s> <s xml:id="echoid-s6473" xml:space="preserve">ſur les villes n’eſt <lb/>pas mieux eſtablie, car le Ciel, ou la ter-<lb/>re eſtant mobiles, vn ſigne n’influë pas <lb/>dauãtage ſur vne Prouince, ou ſur vne <lb/>ville, que ſur l’autre, qui à meſme lati-<lb/>tude, & </s> <s xml:id="echoid-s6474" xml:space="preserve">neantmoins ils aſſuiettiſſent <lb/>vne Prouince entiere à vn ſigne, & </s> <s xml:id="echoid-s6475" xml:space="preserve">les <pb o="87" file="00470" n="469" rhead="Preludes de l’Harmonie."/> villes de cette meſme Prouince à d’au-<lb/>tres ſignes.</s> <s xml:id="echoid-s6476" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6477" xml:space="preserve">Certainement il n’y à nulle raiſon <lb/>pourquoy vn planette a pluſtoſt vne <lb/>maiſon de la figure, que toutes les mai-<lb/>ſons, puis qu’il n’y à nul iour dans le-<lb/>quel chaque planette ne ſe rencon-<lb/>tre dans toutes leſdites maiſons. </s> <s xml:id="echoid-s6478" xml:space="preserve">En <lb/>apres ſi le Lion eſt la maiſon du Soleil, <lb/>pourquoy le ſigne prochain n’eſt-il cel-<lb/>le de ♂, puis qu’il eſt le plus chaud? <lb/></s> <s xml:id="echoid-s6479" xml:space="preserve">pourquoy le Soleil, & </s> <s xml:id="echoid-s6480" xml:space="preserve">la Lune n’ont-ils <lb/>chacun qu’vne maiſon, puis que les au-<lb/>tres planettes en ont chacun d’eux? </s> <s xml:id="echoid-s6481" xml:space="preserve"><lb/>pourquoy la maiſon de la Lune humi-<lb/>de n’eſt elle pas dans le Verſeau oppoſé <lb/>au Lion? </s> <s xml:id="echoid-s6482" xml:space="preserve">& </s> <s xml:id="echoid-s6483" xml:space="preserve">qu’elle a, peut-eſtre, eſté <lb/>crée à l’oppoſite du ☉? </s> <s xml:id="echoid-s6484" xml:space="preserve">quoy que Firmi-<lb/>cus croye que le Soleil a eſté crée au 15. </s> <s xml:id="echoid-s6485" xml:space="preserve"><lb/>du Lion, & </s> <s xml:id="echoid-s6486" xml:space="preserve">♀ au 15. </s> <s xml:id="echoid-s6487" xml:space="preserve">du Verſeau; </s> <s xml:id="echoid-s6488" xml:space="preserve">ce qui <lb/>ne peut eſtre, puis que ♀ ne ſe peut é-<lb/>loigner du Soleil que de deux ſignes.</s> <s xml:id="echoid-s6489" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6490" xml:space="preserve">Les exaltations ſont ſemblablement <lb/>mal eſtablies, puis que les abſides ſe chã-<lb/>gent, & </s> <s xml:id="echoid-s6491" xml:space="preserve">qu’elles deuroient pluſtoſt eſtre <lb/>dãs la maiſon des planettes qu’ailleurs: <lb/></s> <s xml:id="echoid-s6492" xml:space="preserve">caril n’y à nulle apparence d’exalter ♂ <lb/>dans la maiſon de ♄, ni ♄ dans celle de <pb o="88" file="00471" n="470" rhead="Preludes de l’Harmonie."/> ♂; </s> <s xml:id="echoid-s6493" xml:space="preserve">& </s> <s xml:id="echoid-s6494" xml:space="preserve">♀ n’a rien de commun auec le <lb/>Taureau, ſigne terreſtre, dans lequel <lb/>♄ a ſa maiſon, & </s> <s xml:id="echoid-s6495" xml:space="preserve">♂ ſon exaltation.</s> <s xml:id="echoid-s6496" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6497" xml:space="preserve">Quant aux decanat@, ils ſont tres-mal <lb/>fondez, car ſi le Belier eſt la maiſon de <lb/>♂, pourquoy luy oſtent-ils les deux <lb/>tiers pour les decanats de deux autres <lb/>planettes; </s> <s xml:id="echoid-s6498" xml:space="preserve">& </s> <s xml:id="echoid-s6499" xml:space="preserve">pourquoy banniſſent-ils <lb/>☿ des II, c’eſt à dire de ſa maiſon, pour <lb/>en donner la premiere partie à ♃, la 2. </s> <s xml:id="echoid-s6500" xml:space="preserve">à <lb/>♂, & </s> <s xml:id="echoid-s6501" xml:space="preserve">la 3. </s> <s xml:id="echoid-s6502" xml:space="preserve">au Soleil? </s> <s xml:id="echoid-s6503" xml:space="preserve">ie laiſſe les fins, ou <lb/>les termes, puis qu’ils ſont encore plus <lb/>ridicules.</s> <s xml:id="echoid-s6504" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6505" xml:space="preserve">Mais il n’eſt pas neceſſaire de refuter <lb/>les poſitions des Aſtrologues, d’autant <lb/>qu’elles ſe deſtruiſent elles - meſmes: <lb/></s> <s xml:id="echoid-s6506" xml:space="preserve">Car ſi ♂ bruſle, parce qu’il eſt rouge, & </s> <s xml:id="echoid-s6507" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s6508" xml:space="preserve">que ♄ refroidiſſe, parce qu’il eſt paſ-<lb/>le, il faut dire que l écarboucle bruſle, <lb/>& </s> <s xml:id="echoid-s6509" xml:space="preserve">que la chau reſroidit:</s> <s xml:id="echoid-s6510" xml:space="preserve">ſi ♂ bruſle, d’où <lb/>vient que l on ne ſenr point ſa chaleur <lb/>à l’Hyuer, lors qu il eſt a croniche. </s> <s xml:id="echoid-s6511" xml:space="preserve">& </s> <s xml:id="echoid-s6512" xml:space="preserve">que <lb/>l’on n’experimente point le froid de h <lb/>à l’E ſté?</s> <s xml:id="echoid-s6513" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6514" xml:space="preserve">Or il faut remarquer que ♄ n’eſt pas <lb/>paſle, comme croyent les ignorans, qui <lb/>ne parlent que par liure, & </s> <s xml:id="echoid-s6515" xml:space="preserve">par preoc-<lb/>cupation, dont ils ne ſeront plus trom- <pb o="89" file="00472" n="471" rhead="Preludes de l’Harmonie."/> pez, lors que le Ciel leur aura monſtré <lb/>qu’il eſt tres-luiſant. </s> <s xml:id="echoid-s6516" xml:space="preserve">Certainement il <lb/>ny à nulle raiſon pour laquelle l’õ puiſ-<lb/>ſe dire qu’il y a des planettes maleſi-<lb/>ques, & </s> <s xml:id="echoid-s6517" xml:space="preserve">d’autres beneſiques, ny meſu-<lb/>re aucune, dont ils puiſſent meſurer la <lb/>quantité, ou la qualité de leurs digni-<lb/>tez, ou de leurs foib’eſſes; </s> <s xml:id="echoid-s6518" xml:space="preserve">& </s> <s xml:id="echoid-s6519" xml:space="preserve">ce qu’ils <lb/>diſent des aſpects a eſté pris ſur les dif-<lb/>ferentes figures de la Lune, qu’elle fait <lb/>paroiſtre ſuiuant les differents rapports <lb/>qu’elle a auec le ☉, & </s> <s xml:id="echoid-s6520" xml:space="preserve">puis il ny à pas <lb/>pluſtoſt 5 aſpects que 7. </s> <s xml:id="echoid-s6521" xml:space="preserve">que 9. </s> <s xml:id="echoid-s6522" xml:space="preserve">que 13. <lb/></s> <s xml:id="echoid-s6523" xml:space="preserve">ou 15 & </s> <s xml:id="echoid-s6524" xml:space="preserve">Kepler adiouſte le Biquintil, le <lb/>Tredecil, &</s> <s xml:id="echoid-s6525" xml:space="preserve">c.</s> <s xml:id="echoid-s6526" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6527" xml:space="preserve">Voyons maintenant comme ils trou-<lb/>uent le temps, auquel les accidens doi-<lb/>uent arriuer à l’enfant, ils ſe ſeruent de <lb/>la direction, de la reuolution, des profectiõs <lb/>annuelles, & </s> <s xml:id="echoid-s6528" xml:space="preserve">des tranſitions. </s> <s xml:id="echoid-s6529" xml:space="preserve">Or la dire-<lb/>ction ſe fait entre-deux points du Zo-<lb/>diaque de la figure, dont l’vn eſt le ſi-<lb/>gnificateur, & </s> <s xml:id="echoid-s6530" xml:space="preserve">l’autre le prometteur. </s> <s xml:id="echoid-s6531" xml:space="preserve">Ils <lb/>font le ſignificateur mobile, afin qu’il <lb/>approche peu à peu du prometteur im-<lb/>mobile, & </s> <s xml:id="echoid-s6532" xml:space="preserve">que l’effect arriue lors qu’il <lb/>l’aura atteint, parce qu’il eſt promis. </s> <s xml:id="echoid-s6533" xml:space="preserve">Or <lb/>ils dirigent, & </s> <s xml:id="echoid-s6534" xml:space="preserve">content le progrez du <pb o="90" file="00473" n="472" rhead="Preludes de l’Harmonie."/> ſignificateur, & </s> <s xml:id="echoid-s6535" xml:space="preserve">du prometteur ſur l’é-<lb/>quateur, ſur lequel les deux points ſuſ-<lb/>dits ſe r’encontrent par le moyen des <lb/>cercles de declinaiſon: </s> <s xml:id="echoid-s6536" xml:space="preserve">car diriger n’eſt <lb/>autre choſe que chercher l’arc de l’é-<lb/>quateur, qui eſt entre le ſignificateur, <lb/>& </s> <s xml:id="echoid-s6537" xml:space="preserve">le prometteur.</s> <s xml:id="echoid-s6538" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6539" xml:space="preserve">Quant au progrez, il fait vn degré <lb/>dans vne année, 5. </s> <s xml:id="echoid-s6540" xml:space="preserve">minutes dans vn <lb/>mois, & </s> <s xml:id="echoid-s6541" xml:space="preserve">10 ſecondes dans vn iour, aſin <lb/>que cet are enſeigne combiĕ de temps <lb/>apres la naiſſance c’eſt à dire à qu’el an-<lb/>née de l’enfant, l’effect doit arriuer.</s> <s xml:id="echoid-s6542" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6543" xml:space="preserve">Mais il faut diriger des points diffe-<lb/>rents ſelon les differĕts effects que l’on <lb/>cerche: </s> <s xml:id="echoid-s6544" xml:space="preserve">par exemple, le ☉ pour l’eſtat <lb/>de la vie, & </s> <s xml:id="echoid-s6545" xml:space="preserve">pour les dignitez: </s> <s xml:id="echoid-s6546" xml:space="preserve">la Lune <lb/>pour les affections de l’eſprit; </s> <s xml:id="echoid-s6547" xml:space="preserve">l’Horoſ <lb/>cope pour la ſanté, & </s> <s xml:id="echoid-s6548" xml:space="preserve">pour les voyages, <lb/>le milieu du Ciel pour les amis, la *** <lb/> <lb/>pour les richeſſes; </s> <s xml:id="echoid-s6549" xml:space="preserve">& </s> <s xml:id="echoid-s6550" xml:space="preserve">pour ſçauoir com-<lb/>bien l’enſant doit viure, l’on prend vn <lb/>point, que l’on appelle prorogateur, emiſ-<lb/>ſeur, Setgneur de la vie, Hylech, Alchocoden, <lb/>Aphete, &</s> <s xml:id="echoid-s6551" xml:space="preserve">c. </s> <s xml:id="echoid-s6552" xml:space="preserve">c’eſt à dire le planette qui à <lb/>plus grand nombre de dignitez, & </s> <s xml:id="echoid-s6553" xml:space="preserve">vn <lb/>moin dre nombre de debilitez dans les <lb/>lieux hylegiels, à ſçauoir dans la 1. </s> <s xml:id="echoid-s6554" xml:space="preserve">10. </s> <s xml:id="echoid-s6555" xml:space="preserve">11. <lb/></s> <s xml:id="echoid-s6556" xml:space="preserve">7. </s> <s xml:id="echoid-s6557" xml:space="preserve">ou 9. </s> <s xml:id="echoid-s6558" xml:space="preserve">maiſon.</s> <s xml:id="echoid-s6559" xml:space="preserve"/> </p> <pb o="91" file="00474" n="473" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s6560" xml:space="preserve">Or l’on prend ordinairement le Soleil <lb/>pour les naiſſances qui ſe font de iour, <lb/>& </s> <s xml:id="echoid-s6561" xml:space="preserve">la Lune pour celles de la nuict; </s> <s xml:id="echoid-s6562" xml:space="preserve">& </s> <s xml:id="echoid-s6563" xml:space="preserve"><lb/>lors qu’il ne ſe rencontre nul planette <lb/>dans leſdits lieux, l’on ſe ſert principa-<lb/>lement de l’Horoſcope: </s> <s xml:id="echoid-s6564" xml:space="preserve">& </s> <s xml:id="echoid-s6565" xml:space="preserve">pour trou-<lb/>uer la mort, l’on dreſſe l’Aphete à l’Ana-<lb/>rete, c’eſt àdire ledit point à l’interfecteur: <lb/></s> <s xml:id="echoid-s6566" xml:space="preserve">par exemple à ♄, à ♂, ou à leurs rayõs <lb/>malefiques, ou au diſpoſiteur de la 8. </s> <s xml:id="echoid-s6567" xml:space="preserve"><lb/>maiſon. </s> <s xml:id="echoid-s6568" xml:space="preserve">Ceſte direction eſt appellée <lb/>directe, lots qu’elle ſe fait ſelon la ſuitte <lb/>des ſignes, comme il arriue quand on <lb/>vſe de l’Horoſcope, ou du milieu du <lb/>Ciel, & </s> <s xml:id="echoid-s6569" xml:space="preserve">c. </s> <s xml:id="echoid-s6570" xml:space="preserve">& </s> <s xml:id="echoid-s6571" xml:space="preserve">Conuerſe, l’ors qu’elle ſe fait <lb/>contre l’ordre des ſignes, cõme il arri-<lb/>ue à la *** <lb/>, & </s> <s xml:id="echoid-s6572" xml:space="preserve">aux planettes retrogrades.</s> <s xml:id="echoid-s6573" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6574" xml:space="preserve">La Reuolution eſt l’erection d’vne fi-<lb/>gure que l’on fait, lors que le Soleil ſe <lb/>rencontre au meſme point du Zodia-<lb/>que où il eſtoit à la naiſſance. </s> <s xml:id="echoid-s6575" xml:space="preserve">Car ſi <lb/>l’Horoſcope de cette figure regarde <lb/>celle de la naiſſance d’vn bon aſ-<lb/>pect, l’enfant ſe portera bien toute <lb/>l’année; </s> <s xml:id="echoid-s6576" xml:space="preserve">& </s> <s xml:id="echoid-s6577" xml:space="preserve">ſi l’aſpect eſt mauuais, il ſe <lb/>portera mal : </s> <s xml:id="echoid-s6578" xml:space="preserve">ſi les planettes ont vne <lb/>contraiſe diſpoſitiõ à celle qu’elles ont <lb/>à la natiuité, l’enfant court vn grand <lb/>peril; </s> <s xml:id="echoid-s6579" xml:space="preserve">& </s> <s xml:id="echoid-s6580" xml:space="preserve">ſi la Lune ſe trouue au lieu, où <pb o="92" file="00475" n="474" rhead="Preludes de l’Harmonie."/> eſtoit ♄ à la natiuité, il épouſera vne <lb/>vieille.</s> <s xml:id="echoid-s6581" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6582" xml:space="preserve">La Profection annuelle eſt le progrez <lb/>que fait la pointe, ou l’angle de chaque <lb/>maiſon, & </s> <s xml:id="echoid-s6583" xml:space="preserve">chaque point de la natiuité <lb/>par le Zodiaque: </s> <s xml:id="echoid-s6584" xml:space="preserve">or ces points font cha-<lb/>que annéc 30. </s> <s xml:id="echoid-s6585" xml:space="preserve">degrez, afin que la pro-<lb/>fection recommeuce de 12. </s> <s xml:id="echoid-s6586" xml:space="preserve">en 12. </s> <s xml:id="echoid-s6587" xml:space="preserve">ans, <lb/>dans leſquels ils iugent bien, ou mal de <lb/>l’enfant ſelon les bons, ou mauuais aſ-<lb/>pects, qui ſe rencõtrent dans ce temps, <lb/>& </s> <s xml:id="echoid-s6588" xml:space="preserve">qu’ils prediſent tous les ans, dont le <lb/>4. </s> <s xml:id="echoid-s6589" xml:space="preserve">eſt dangereux, parce que l Horoſco-<lb/>pe arriue à la 4. </s> <s xml:id="echoid-s6590" xml:space="preserve">maiſon, qu’il regarde <lb/>d’vn afpect ◻, & </s> <s xml:id="echoid-s6591" xml:space="preserve">le milieu du Ciel d’vn <lb/>aſpect oppoſé. </s> <s xml:id="echoid-s6592" xml:space="preserve">En apres il paruient à la <lb/>7. </s> <s xml:id="echoid-s6593" xml:space="preserve">qu’il regarde d’vn aſpectoppoſé, & </s> <s xml:id="echoid-s6594" xml:space="preserve"><lb/>le milieu du Ciel d’vn aſpect quadrat.</s> <s xml:id="echoid-s6595" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6596" xml:space="preserve">Ie laiſſe tout ce qu’ils diſent des an-<lb/>nées Climateriques, & </s> <s xml:id="echoid-s6597" xml:space="preserve">des Seigneurs des <lb/>Septenaires ou A fridaires, qu ils appel-<lb/>lent Chronocratcurs, puis qu’il n’y a nul-<lb/>le raiſon pourquoy la Lune preſide à la <lb/>premiere année, ☿ à la 12. </s> <s xml:id="echoid-s6598" xml:space="preserve">♀ à la 3. </s> <s xml:id="echoid-s6599" xml:space="preserve">& </s> <s xml:id="echoid-s6600" xml:space="preserve">c.</s> <s xml:id="echoid-s6601" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6602" xml:space="preserve">Or ils font recommencer la Lune au <lb/>8. </s> <s xml:id="echoid-s6603" xml:space="preserve">Sptenaire, qu’ils appellent dange-<lb/>reuy, parce que l’Affridaire chãge l’em-<lb/>pire de chaque planette.</s> <s xml:id="echoid-s6604" xml:space="preserve"/> </p> <pb o="93" file="00476" n="475" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s6605" xml:space="preserve">La Tranſition ſe faict, lors qu’vn pla-<lb/>nette: </s> <s xml:id="echoid-s6606" xml:space="preserve">par exemple la Lune, paſſe par <lb/>les lieux de la figure, où eſtoit ♄, ♃, & </s> <s xml:id="echoid-s6607" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s6608" xml:space="preserve">ou l’Horoſcope, ou par le lieu, qui eſtoit <lb/>Trin, ou quadrat à ♂, ♀, & </s> <s xml:id="echoid-s6609" xml:space="preserve">c. </s> <s xml:id="echoid-s6610" xml:space="preserve">ou Trin <lb/>à l’vn, & </s> <s xml:id="echoid-s6611" xml:space="preserve">quadrat à l’autre, dautãt qu’ils <lb/>croyent qu’il arriue de notables chan-<lb/>gemens dans ces paſſages, dõt ils vſent <lb/>pour determiner le temps, & </s> <s xml:id="echoid-s6612" xml:space="preserve">particu-<lb/>lierement le iour, & </s> <s xml:id="echoid-s6613" xml:space="preserve">l’heure. </s> <s xml:id="echoid-s6614" xml:space="preserve">Car l’effect <lb/>eſt plus grand ſelon les differens paſſa-<lb/>ges, & </s> <s xml:id="echoid-s6615" xml:space="preserve">rapports, qui ſe rencontrent en-<lb/>tre tous ces points.</s> <s xml:id="echoid-s6616" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6617" xml:space="preserve">Ce ſont là les principaux fondemĕts <lb/>de l’Aſtrologie Iudiciaire, dont la va-<lb/>nité eſt ſi euidente, qu’il ſuffit de les <lb/>auoir expliquez pour les refuter. </s> <s xml:id="echoid-s6618" xml:space="preserve">Car <lb/>pourquoy la direction ſe fait-elle plu-<lb/>ſtoſt ſur l’equateur que ſur l’écliptique, <lb/>qui eſt le lieu principal des planettes? <lb/></s> <s xml:id="echoid-s6619" xml:space="preserve">pourquoy pluſtoſt contre la ſuitte, que <lb/>ſelon la ſuitte, & </s> <s xml:id="echoid-s6620" xml:space="preserve">l’ordre des ſignes? </s> <s xml:id="echoid-s6621" xml:space="preserve"><lb/>pourquoy donnent-ils ſeulement vn <lb/>degré à chaque. </s> <s xml:id="echoid-s6622" xml:space="preserve">année? </s> <s xml:id="echoid-s6623" xml:space="preserve">ſi l’homme vi-<lb/>uoit 360. </s> <s xml:id="echoid-s6624" xml:space="preserve">ans, ils auroient quelque con-<lb/>jecture, dont ils ſont entierement deſti-<lb/>tuez: </s> <s xml:id="echoid-s6625" xml:space="preserve">car qu’elle apparence y à il que ce <lb/>point de la natiuité retienne ſa force, <pb o="94" file="00477" n="476" rhead="Preludes de l’Harmonie."/> iuſques à 30. </s> <s xml:id="echoid-s6626" xml:space="preserve">& </s> <s xml:id="echoid-s6627" xml:space="preserve">40. </s> <s xml:id="echoid-s6628" xml:space="preserve">ans? </s> <s xml:id="echoid-s6629" xml:space="preserve">quelle propor-<lb/>tiõ, ou rapport y à-il du milieu du Ciel <lb/>de la 60. </s> <s xml:id="echoid-s6630" xml:space="preserve">annéc auec celuy de la natiui-<lb/>té & </s> <s xml:id="echoid-s6631" xml:space="preserve">quelle apparence y a-il que le de-<lb/>ſtin de cette annèc depende du rapport <lb/>de ces aſpects? </s> <s xml:id="echoid-s6632" xml:space="preserve">ces points ſe conoiſſent-<lb/>ils l’vn l’autre? </s> <s xml:id="echoid-s6633" xml:space="preserve">pourquoy la reuolution <lb/>ne ſe fait-elle auſſi bien des autres pla-<lb/>nettes, & </s> <s xml:id="echoid-s6634" xml:space="preserve">paiticulierement des fortu-<lb/>nes, ou infortunes auſquelles ils attri-<lb/>buent de ſi grandes vertus, comme elle <lb/>ſe fait du Soleil? </s> <s xml:id="echoid-s6635" xml:space="preserve">pourquoy dõnent ils <lb/>30. </s> <s xml:id="echoid-s6636" xml:space="preserve">degrez à chaque année, & </s> <s xml:id="echoid-s6637" xml:space="preserve">pour-<lb/>quoy ne reduiſent - ils le Zodiaque à <lb/>l’Equateur dans la profection?</s> <s xml:id="echoid-s6638" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6639" xml:space="preserve">Les Alfridures ſont encore plus ridi-<lb/>cules, puis qu’ils font regir chaque pla-<lb/>nette à chaque Septenaire, ou ſepmai-<lb/>ne d’années, & </s> <s xml:id="echoid-s6640" xml:space="preserve">qu’ils ne s’accor dent pas <lb/>eux-meſmes ſur ce ſuiect. </s> <s xml:id="echoid-s6641" xml:space="preserve">Car Ptolo-<lb/>mée donne 4. </s> <s xml:id="echoid-s6642" xml:space="preserve">ans d’empire à la Lune, <lb/>10. </s> <s xml:id="echoid-s6643" xml:space="preserve">à ☿, 8. </s> <s xml:id="echoid-s6644" xml:space="preserve">à Venus, 19. </s> <s xml:id="echoid-s6645" xml:space="preserve">au ☉, 15. </s> <s xml:id="echoid-s6646" xml:space="preserve">à ♂, <lb/>12. </s> <s xml:id="echoid-s6647" xml:space="preserve">à ♃, & </s> <s xml:id="echoid-s6648" xml:space="preserve">cc qui reſte iuſques à la mort, <lb/>à Saturne.</s> <s xml:id="echoid-s6649" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6650" xml:space="preserve">Quant aux queſtiõs, & </s> <s xml:id="echoid-s6651" xml:space="preserve">aux elections, <lb/>les Aſtrologues promettent les ſolutiõs <lb/>de toutes choſes: </s> <s xml:id="echoid-s6652" xml:space="preserve">par exemple, s’il ſa-<lb/>git du mariage, Venus & </s> <s xml:id="echoid-s6653" xml:space="preserve">la Lune ſont <pb o="95" file="00478" n="477" rhead="Preludes de l’Harmonie."/> feminins, & </s> <s xml:id="echoid-s6654" xml:space="preserve">la 7. </s> <s xml:id="echoid-s6655" xml:space="preserve">maiſon auec ſon ſi-<lb/>gnificateur parlent touſiours des fem-<lb/>mes; </s> <s xml:id="echoid-s6656" xml:space="preserve">& </s> <s xml:id="echoid-s6657" xml:space="preserve">lors qu’ils ont conſideré les au-<lb/>tres maisõs, les planettes, les decanats, <lb/>les fins, & </s> <s xml:id="echoid-s6658" xml:space="preserve">c. </s> <s xml:id="echoid-s6659" xml:space="preserve">ils diſent ſi l’enfant ſera <lb/>veuſ, s’il épouſera vne femme riche, ou <lb/>pauure, & </s> <s xml:id="echoid-s6660" xml:space="preserve">ſi elle doit viure peu, ou lõg-<lb/>temps.</s> <s xml:id="echoid-s6661" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6662" xml:space="preserve">Ie laiſſe les autres maiſons, par leſ-<lb/>quelles ils prediſent ſi l’ĕfant ſera Char-<lb/>pentier, Maçon, Aduocat, & </s> <s xml:id="echoid-s6663" xml:space="preserve">c. </s> <s xml:id="echoid-s6664" xml:space="preserve">afin de <lb/>dire vn mot des elections, parleſquel-<lb/>les ils tiennent qu’ils ne faut pas pren-<lb/>dre medecine, lors que la ☾ eſt au Be-<lb/>lier, ♉, & </s> <s xml:id="echoid-s6665" xml:space="preserve">au Capricorne, de peur de la <lb/>rejetter, à raiſon que ces ſignes rumi-<lb/>nent: </s> <s xml:id="echoid-s6666" xml:space="preserve">que les Nauires ne doiuent pas <lb/>partir, lors que ♂ eſt au milieu du Ciel, <lb/>parce qu’il preſide aux Pyrates. </s> <s xml:id="echoid-s6667" xml:space="preserve">Ils veu-<lb/>lent auſſi que l’on conſidere ſi le ſigne <lb/>qui monte, s’il eſt fixe, ou mobile, auant <lb/>que de planter les arbres, de peur qu’ils <lb/>ſe déracinent; </s> <s xml:id="echoid-s6668" xml:space="preserve">que l’on oſte l’enfant de <lb/>la mammelle, lors qu’vn ſigne humain <lb/>monte, quand on le veut rendre deli-<lb/>cat, & </s> <s xml:id="echoid-s6669" xml:space="preserve">ſi on veut qu’il ayme la chair, <lb/>lors que le Lion monte: </s> <s xml:id="echoid-s6670" xml:space="preserve">que ſouz l’E-<lb/>creuiſſe il aymera le poiſſon, ce qui ar- <pb o="96" file="00479" n="478" rhead="Preludes de l’Harmonie."/> riuera ſemblablemĕt ſouz les Poiſſons: <lb/></s> <s xml:id="echoid-s6671" xml:space="preserve">mais il aymeta les legumes ſouz la pre-<lb/>miere partie du Capricorne, du Belier, <lb/>& </s> <s xml:id="echoid-s6672" xml:space="preserve">du Taureau.</s> <s xml:id="echoid-s6673" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6674" xml:space="preserve">Lors qu’on luy donne vn maiſtre, ils <lb/>veulent que ☿ regarde benignement la <lb/>Lune en ſon croiſſant; </s> <s xml:id="echoid-s6675" xml:space="preserve">que la Lune ſoit <lb/>en aſpect ſextil auec le ☉, ou auec le <lb/>Seigneur de la 10. </s> <s xml:id="echoid-s6676" xml:space="preserve">maiſon, lors qu’on <lb/>va ſalüer vn Prince, ou vn Roy: </s> <s xml:id="echoid-s6677" xml:space="preserve">que <lb/>l’on aille à la chaſſe ſouz vn ſigne mobi-<lb/>le, dans lequel il n’y ait point de planet-<lb/>te retrograde: </s> <s xml:id="echoid-s6678" xml:space="preserve">que l’on eſſaye les habits <lb/>ſouz vn ſigne mobile, dans lequel la ☾ <lb/>ſerencontre, de peur que les veſtemens <lb/>durent plus long-temps que le corps.</s> <s xml:id="echoid-s6679" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6680" xml:space="preserve">Ie laiſſe la natiuité des Villes, & </s> <s xml:id="echoid-s6681" xml:space="preserve">les <lb/>preſages qu’ils en tirent, car ils ſont ſi <lb/>ignorãts qu’ils mettent ☿ dans le Scor-<lb/>pion, & </s> <s xml:id="echoid-s6682" xml:space="preserve">le ☉ dans ♉ à la naiſſance de <lb/>Rome, comme l’on peut voir dans So-<lb/>lin; </s> <s xml:id="echoid-s6683" xml:space="preserve">& </s> <s xml:id="echoid-s6684" xml:space="preserve">neãtmoins ☿ ne peut ſ éloigner <lb/>du Soleil, que de 28. </s> <s xml:id="echoid-s6685" xml:space="preserve">degrez. </s> <s xml:id="echoid-s6686" xml:space="preserve">Ie laiſſe <lb/>ſemblablement les elections de l’heu-<lb/>re pour grauer les cachets, & </s> <s xml:id="echoid-s6687" xml:space="preserve">les Taliſ-<lb/>mans, & </s> <s xml:id="echoid-s6688" xml:space="preserve">mille autres reſueries, qui nç <lb/>peuuent entrer dans vn bon eſprit.</s> <s xml:id="echoid-s6689" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6690" xml:space="preserve">Certainement les excellens perſon- <pb o="97" file="00480" n="479" rhead="Preludes de l’Harmonie."/> nages n’ont iamais faict d’eſtat de l’A-<lb/>ſtrologie, comme l’on peut voir dans <lb/>Ciceron au 2. </s> <s xml:id="echoid-s6691" xml:space="preserve">liure de la diuination; </s> <s xml:id="echoid-s6692" xml:space="preserve">& </s> <s xml:id="echoid-s6693" xml:space="preserve"><lb/>pluſieurs croyent que Ptolomée n’eſt <lb/>pas l’Autheur du Quadripartit, ou qu’il <lb/>a ſeulement fait vn abregé des reſue-<lb/>ries des Ægyptiens, afin de ſatisfaire à <lb/>la curioſité de quelques vns deſesamis: <lb/></s> <s xml:id="echoid-s6694" xml:space="preserve">Car quelle apparence y a-il qu’il n’ayt <lb/>oſé traiter de la Phyſique, à raiſon de <lb/>ſon incertitude, comme il témoigne <lb/>dans la preface de ſon Almageſte, & </s> <s xml:id="echoid-s6695" xml:space="preserve"><lb/>qu’il ayt traicté de l’Aſtrologie qui n’a <lb/>pas ſeulement de la probabilité pour <lb/>eſtablir ſes fondements?</s> <s xml:id="echoid-s6696" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6697" xml:space="preserve">Delà vient que Cardan aſſeure dans <lb/>ſon Epiſtre ſurle Quadripartit, que les <lb/>Autheurs, dont Ptolomée a puiſe ſon <lb/>liure, ont eſté des impoſteurs, qui on@ <lb/>tout corrompu; </s> <s xml:id="echoid-s6698" xml:space="preserve">ce que l’on peutſem-<lb/>blablement dire de Cardan, d’Origan, <lb/>& </s> <s xml:id="echoid-s6699" xml:space="preserve">de tous les autres, puis qu’ils n’on@ <lb/>pas plus de raiſon qu’eux.</s> <s xml:id="echoid-s6700" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6701" xml:space="preserve">Or il y a gran de apparence que les <lb/>hommes, qui ont voulu paroiſtre plus <lb/>ſçauãts queles autres, ont inuenté tou-<lb/>tes ces fables, aſin de gaigner de l’ar-<lb/>gent, ou d’acquerir l’amitié, & </s> <s xml:id="echoid-s6702" xml:space="preserve">la fa- <pb o="98" file="00481" n="480" rhead="Preludes de l’Harmonie."/> ueur des grands; </s> <s xml:id="echoid-s6703" xml:space="preserve">& </s> <s xml:id="echoid-s6704" xml:space="preserve">parce qu’ils n’auoiĕt <lb/>nulle raiſon, ils out eu recours aux ex-<lb/>periences: </s> <s xml:id="echoid-s6705" xml:space="preserve">par exemple, que Nigidius <lb/>ayant veu la natiuité d’Auguſte, il luy <lb/>predit qu’il ſeroit ſeigneurde l’Vniuers? <lb/></s> <s xml:id="echoid-s6706" xml:space="preserve">qu’Aſcleriõ predit de ſoy-meſme qu’il <lb/>ſeroit mangé des chiens; </s> <s xml:id="echoid-s6707" xml:space="preserve">que Pic de la <lb/>Mirandole eſt mort l’an 32. </s> <s xml:id="echoid-s6708" xml:space="preserve">de ſon âge, <lb/>à raiſon de la direction de l’Horoſcope <lb/>au corps de Mars, comme remarque <lb/>Gauric.</s> <s xml:id="echoid-s6709" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6710" xml:space="preserve">Ie laiſſe pluſieurs autres experiences, <lb/>dont ils ſe vantĕt pour abuſer les igno-<lb/>rans, puis que iamais nul Aſtrologue n’a <lb/>fait les obſeruations neceſſaires pour <lb/>eſtablir des regles ſur ceſujet, car il fau-<lb/>droit pour le moins auoir 2. </s> <s xml:id="echoid-s6711" xml:space="preserve">experien-<lb/>ces de 2. </s> <s xml:id="echoid-s6712" xml:space="preserve">enfans, qui fuſſent nez ſouz vn <lb/>meſme aſpect du Ciel, ce qui n’eſt en-<lb/>core iamais arriué: </s> <s xml:id="echoid-s6713" xml:space="preserve">par exemple, les <lb/>Chaldeans n’õt peu voir deux fois vne <lb/>natiuité, dans laquelle l’Horoſcope ayt <lb/>eſté le premier degré du Belier, le So-<lb/>leil eſtant au commencement de l’E-<lb/>creuiſſe, la Lune au 20. </s> <s xml:id="echoid-s6714" xml:space="preserve">du Verſeau, & </s> <s xml:id="echoid-s6715" xml:space="preserve"><lb/>♄ à la fin du Taureau: </s> <s xml:id="echoid-s6716" xml:space="preserve">Etiamais l’on n’a <lb/>veu 2. </s> <s xml:id="echoid-s6717" xml:space="preserve">fois les planettes en meſme aſ-<lb/>pect, en meſme latitude, & </s> <s xml:id="echoid-s6718" xml:space="preserve">aux meſ- <pb o="99" file="00482" n="481" rhead="Preludes de l’Harmonie."/> mes lieux de leurs Epicycles. </s> <s xml:id="echoid-s6719" xml:space="preserve">En apres, <lb/>ils n’ont point connu les planettes, qui <lb/>ſont à l’entour de ♃, ni les 2. </s> <s xml:id="echoid-s6720" xml:space="preserve">de ♄, ny <lb/>les taches du Soleil, qui peuuent varier <lb/>les effects qu’ils promettent.</s> <s xml:id="echoid-s6721" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6722" xml:space="preserve">D’ailleurs, encore que ceſt art euſt <lb/>eſté veritable en Ægypte, il ne ſeroit <lb/>pas veritable en ce climat, ny dans la <lb/>ſphere parallele, où nul degré de l’é-<lb/>clyptique ne ſe leue, ny ne ſe couche, <lb/>& </s> <s xml:id="echoid-s6723" xml:space="preserve">où conſequemmĕt nul ſigne ne peut <lb/>ſeruir d’Horoſcope, de milieu du Ciel, <lb/>ou d’autre maiſon. </s> <s xml:id="echoid-s6724" xml:space="preserve">En apres, il y a tou-<lb/>ſiours quelq<unsure/>ue partie de l éclyptique <lb/>dans la Zone froide, qui ne ſe leue ia-<lb/>mais, & </s> <s xml:id="echoid-s6725" xml:space="preserve">qui eſt touſiours cachée ſouz <lb/>l’horizon, & </s> <s xml:id="echoid-s6726" xml:space="preserve">quelque partie qui eſt tou-<lb/>ſiours ſur l’horizon, & </s> <s xml:id="echoid-s6727" xml:space="preserve">quine ſe couche <lb/>iamais: </s> <s xml:id="echoid-s6728" xml:space="preserve">de ſorte que cet art ne peut ſer-<lb/>uir qu’entre les Tropiques, c’eſt à dire <lb/>dans la Zone torride, & </s> <s xml:id="echoid-s6729" xml:space="preserve">dans les tem-<lb/>perées.</s> <s xml:id="echoid-s6730" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6731" xml:space="preserve">A quoy l’on peut adiouſter que tout <lb/>ce que l’on dit icy des Aſtres, ſe trouue <lb/>autrement au dela de l’Equateur, où le <lb/>Belier eſt le commencement de l’Au-<lb/>tomne, & </s> <s xml:id="echoid-s6732" xml:space="preserve">où le Lion gele, au lieu qu’il <lb/>nous bruſle: </s> <s xml:id="echoid-s6733" xml:space="preserve">Car ſ’ils répondent que la <pb o="100" file="00483" n="482" rhead="Preludes de l’Harmonie."/> Balance doit eſtre priſe en l’autre par-<lb/>tie du monde pour le Belier, & </s> <s xml:id="echoid-s6734" xml:space="preserve">le Ca-<lb/>pricorne pour 1 Ecreuiſſe, & </s> <s xml:id="echoid-s6735" xml:space="preserve">c. </s> <s xml:id="echoid-s6736" xml:space="preserve">il faut <lb/>qu’ils confeſſent que les exaltations, & </s> <s xml:id="echoid-s6737" xml:space="preserve"><lb/>les cheutes des planettes, & </s> <s xml:id="echoid-s6738" xml:space="preserve">toutes <lb/>leurs autres fantaiſies ſ’en võt par terre.</s> <s xml:id="echoid-s6739" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6740" xml:space="preserve">Mais il n’eſt pas neceſſaire d’aller par <lb/>dela la ligne pour cõuaincre leurs fon-<lb/>demens de nullité & </s> <s xml:id="echoid-s6741" xml:space="preserve">d’erreur, puiſ-<lb/>que nous experimentons que le meſme <lb/>climat produit des choſes ſi differentes <lb/>en meſme temps.</s> <s xml:id="echoid-s6742" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6743" xml:space="preserve">En apres que peuuent-ils répondre <lb/>aux Topinamboux, qui viuĕt 200. </s> <s xml:id="echoid-s6744" xml:space="preserve">ans, <lb/>& </s> <s xml:id="echoid-s6745" xml:space="preserve">dontles femmes engendrent par de-<lb/>là 90. </s> <s xml:id="echoid-s6746" xml:space="preserve">ans; </s> <s xml:id="echoid-s6747" xml:space="preserve">& </s> <s xml:id="echoid-s6748" xml:space="preserve">où tout ce qu’ils diſent des <lb/>richeſſes, des ſemmes, & </s> <s xml:id="echoid-s6749" xml:space="preserve">c. </s> <s xml:id="echoid-s6750" xml:space="preserve">eſt tres-faux, <lb/>puis qu’ils ont toutes choſes en com-<lb/>mun, & </s> <s xml:id="echoid-s6751" xml:space="preserve">qu’ils n’ont point d’Arts, ni de <lb/>meſtiers ſemblables aux noſtres?</s> <s xml:id="echoid-s6752" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6753" xml:space="preserve">Certainement ſi l’on conſidere la di-<lb/>uerſité des manieres de viure qui ſont <lb/>au monde, & </s> <s xml:id="echoid-s6754" xml:space="preserve">la confuſion des accidĕs, <lb/>qui arriuent durant la guerre, & </s> <s xml:id="echoid-s6755" xml:space="preserve">qui <lb/>n’arriucroient pas durant la paix, l’on <lb/>confeſſera que toute l’Aſtrologie eſt ri-<lb/>dicule, & </s> <s xml:id="echoid-s6756" xml:space="preserve">qu’elle ne contient autre <lb/>choſe que des fables.</s> <s xml:id="echoid-s6757" xml:space="preserve"/> </p> <pb o="101" file="00484" n="483" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s6758" xml:space="preserve">Quant aux experiences, dont ils ſe <lb/>vantent, Ciceron au liure 2. </s> <s xml:id="echoid-s6759" xml:space="preserve">de la Di-<lb/>uination, & </s> <s xml:id="echoid-s6760" xml:space="preserve">Sextus ab Heminga auec <lb/>pluſieurs autres s’en mocquent, & </s> <s xml:id="echoid-s6761" xml:space="preserve">ce-<lb/>luy-cy monſtre par 30. </s> <s xml:id="echoid-s6762" xml:space="preserve">natiuitez d’hõ-<lb/>mes Illuſtres, qu’elles ſont fauſſes: </s> <s xml:id="echoid-s6763" xml:space="preserve">Car <lb/>Henry II. </s> <s xml:id="echoid-s6764" xml:space="preserve">mourut à 40. </s> <s xml:id="echoid-s6765" xml:space="preserve">ans accomplis, <lb/>d’vne bleſſeure qu’il reçeut dans l’œil, <lb/>cõtre ce qui luy deuoit arriuer, ſuiuant <lb/>la 4. </s> <s xml:id="echoid-s6766" xml:space="preserve">figure deSextus, quoy que Gauric, <lb/>& </s> <s xml:id="echoid-s6767" xml:space="preserve">Cardan luy promiſſent l’Empire, à <lb/>raiſon du Soleil, de la Lune, & </s> <s xml:id="echoid-s6768" xml:space="preserve">de ♀ dãs <lb/>l’Horoſcope.</s> <s xml:id="echoid-s6769" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6770" xml:space="preserve">Rodolphe Camerarius s’eſt auſſi trom-<lb/>pé à la mort d’Henry IV. </s> <s xml:id="echoid-s6771" xml:space="preserve">qu’il auoit <lb/>predite deuoir arriuer l’ã 1603. </s> <s xml:id="echoid-s6772" xml:space="preserve">au mois <lb/>d’Octobre, comme l’on peut voir dans <lb/>ſa 76. </s> <s xml:id="echoid-s6773" xml:space="preserve">natiuité, car il le menace du dan-<lb/>ger de ſa vie l’an 59. </s> <s xml:id="echoid-s6774" xml:space="preserve">4. </s> <s xml:id="echoid-s6775" xml:space="preserve">mois, & </s> <s xml:id="echoid-s6776" xml:space="preserve">21. </s> <s xml:id="echoid-s6777" xml:space="preserve">iour: <lb/></s> <s xml:id="echoid-s6778" xml:space="preserve">or il eſtoit né l’an 1553. </s> <s xml:id="echoid-s6779" xml:space="preserve">le 24. </s> <s xml:id="echoid-s6780" xml:space="preserve">Decem-<lb/>bre, deux heures apres minuit; </s> <s xml:id="echoid-s6781" xml:space="preserve">& </s> <s xml:id="echoid-s6782" xml:space="preserve">la rai-<lb/>ſon qu’il en apporte eſt que le Soleil ar-<lb/>riuoit par la direction au corps de ♄, <lb/>l’Horoſcope au ◻ du meſme ♄ & </s> <s xml:id="echoid-s6783" xml:space="preserve">le mi-<lb/>lieu du Ciel au ◻ du Soleil.</s> <s xml:id="echoid-s6784" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6785" xml:space="preserve">Ie laiſſe pluſieurs autres choſes qui <lb/>ſont ſi fauſſes dans leurs experiences, <lb/>qu’ils ne ſçauroient les lire ſans rougir <pb o="102" file="00485" n="484" rhead="Preludes de l’Harmonie."/> de honte, & </s> <s xml:id="echoid-s6786" xml:space="preserve">ſans aduoüer qu’il n’y a <lb/>nulle regle dans toute l’A ſtrologie, qui <lb/>n’ayt eſté inuentée fortuitemĕt, & </s> <s xml:id="echoid-s6787" xml:space="preserve">ſans <lb/>aucune raiſon. </s> <s xml:id="echoid-s6788" xml:space="preserve">Et les erreurs que Car-<lb/>dan a fait dans ſa propre natiuité, ſont <lb/>aſſez voir leur ignorance: </s> <s xml:id="echoid-s6789" xml:space="preserve">car il met ♄ <lb/>au 21. </s> <s xml:id="echoid-s6790" xml:space="preserve">des II, qui eſtoit dans le 18. </s> <s xml:id="echoid-s6791" xml:space="preserve">& </s> <s xml:id="echoid-s6792" xml:space="preserve">☿ <lb/>dans le 23. </s> <s xml:id="echoid-s6793" xml:space="preserve">de la Balance, qui eſtoit dãs <lb/>le vingt ſixieſme.</s> <s xml:id="echoid-s6794" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6795" xml:space="preserve">Il ſe trompe d’vn ſigne entier dans la <lb/>figure de Iean Checi, lors qu’il place ♂, <lb/>& </s> <s xml:id="echoid-s6796" xml:space="preserve">Tycho remarque dans la 777. </s> <s xml:id="echoid-s6797" xml:space="preserve">page <lb/>de la nouuelle étoile, que Cardan fait <lb/>naiſtre Lurher l’an 1483. </s> <s xml:id="echoid-s6798" xml:space="preserve">à 10. </s> <s xml:id="echoid-s6799" xml:space="preserve">heures du <lb/>marin, & </s> <s xml:id="echoid-s6800" xml:space="preserve">que Gauric le fait naiſtre l’an <lb/>ſuiuant à vne heure, encore qu’il ſoit <lb/>nay à onze heures. </s> <s xml:id="echoid-s6801" xml:space="preserve">& </s> <s xml:id="echoid-s6802" xml:space="preserve">que l’vn & </s> <s xml:id="echoid-s6803" xml:space="preserve">l’autre <lb/>ſe ſoient trompez de 12. </s> <s xml:id="echoid-s6804" xml:space="preserve">iours: </s> <s xml:id="echoid-s6805" xml:space="preserve">Car il <lb/>nâquit le 10. </s> <s xml:id="echoid-s6806" xml:space="preserve">de Nouembre, & </s> <s xml:id="echoid-s6807" xml:space="preserve">non le <lb/>22 comme ils diſent, & </s> <s xml:id="echoid-s6808" xml:space="preserve">neantmoins ils <lb/>trouuent leur conte, & </s> <s xml:id="echoid-s6809" xml:space="preserve">accommodent <lb/>les accidents de ſa vie à leur natiuité <lb/>feinte, & </s> <s xml:id="echoid-s6810" xml:space="preserve">fauſſe: </s> <s xml:id="echoid-s6811" xml:space="preserve">de ſorte qu’il faut eſtre <lb/>plus ſtupide que la plus lourde beſte du <lb/>monde pour croire, & </s> <s xml:id="echoid-s6812" xml:space="preserve">pour s’amuſer à <lb/>leurs regles.</s> <s xml:id="echoid-s6813" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6814" xml:space="preserve">Ce qu’il ſemble que Cardan ayt recõ-<lb/>neu, lors qu’il a dit au chap. </s> <s xml:id="echoid-s6815" xml:space="preserve">6. </s> <s xml:id="echoid-s6816" xml:space="preserve">du liure <pb o="103" file="00486" n="485" rhead="Preludes de l’Harmonie."/> des lugemens, qu’à peine ſe rencontre-<lb/>il 10. </s> <s xml:id="echoid-s6817" xml:space="preserve">choſes veritables de 40. </s> <s xml:id="echoid-s6818" xml:space="preserve">que l’on <lb/>predit; </s> <s xml:id="echoid-s6819" xml:space="preserve">il pouuoit dire qu’a peine s’en <lb/>rencontre-il vne vraye de 4000.</s> <s xml:id="echoid-s6820" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6821" xml:space="preserve">Or il aduouë pour le moins que le <lb/>menſonge eſt 4. </s> <s xml:id="echoid-s6822" xml:space="preserve">fois plus grand que la <lb/>verité, & </s> <s xml:id="echoid-s6823" xml:space="preserve">luy meſme ſe trompe gran-<lb/>dement dans la natiuité d’Edoard VI. <lb/></s> <s xml:id="echoid-s6824" xml:space="preserve">Roy d’Angleterre, qu’il met la premie-<lb/>re des 12. </s> <s xml:id="echoid-s6825" xml:space="preserve">qu’il fait: </s> <s xml:id="echoid-s6826" xml:space="preserve">car il luy predit des <lb/>maladies à l’an 23. </s> <s xml:id="echoid-s6827" xml:space="preserve">34. </s> <s xml:id="echoid-s6828" xml:space="preserve">& </s> <s xml:id="echoid-s6829" xml:space="preserve">55. </s> <s xml:id="echoid-s6830" xml:space="preserve">& </s> <s xml:id="echoid-s6831" xml:space="preserve">neant-<lb/>moins il mourut à 16. </s> <s xml:id="echoid-s6832" xml:space="preserve">ans, quoy que <lb/>Cardan euſt employé cent heures à <lb/>dreſſer cette natiuité.</s> <s xml:id="echoid-s6833" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6834" xml:space="preserve">Il faut encore remarquer qu’ils de-<lb/>mandent touſiours ſi l’enfant, dont on <lb/>leur parle, eſt vn maſle, ou vne femelle, <lb/>ſi les parens ſont riches, ou pauures, & </s> <s xml:id="echoid-s6835" xml:space="preserve"><lb/>qu’ils répondent ambiguëment, & </s> <s xml:id="echoid-s6836" xml:space="preserve">en <lb/>general, afin que ſi ce qu’ils diſent n’ar-<lb/>riue pas, ils puiſſent expliquer chaque <lb/>choſe à leur aduãtage; </s> <s xml:id="echoid-s6837" xml:space="preserve">& </s> <s xml:id="echoid-s6838" xml:space="preserve">lors que leurs <lb/>menteries ſont ſi éuidentes qu’ils ne <lb/>peuuent les pallier, ils diſent qu’on à <lb/>failly à prendre la vraye heure de la na-<lb/>tiuité, qu’il la faut corriger, & </s> <s xml:id="echoid-s6839" xml:space="preserve">qu’il faut <lb/>vſer d’vne autre maniere de directiõs.</s> <s xml:id="echoid-s6840" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6841" xml:space="preserve">Ie laiſfe pluſieurs autres échapatoi- <pb o="104" file="00487" n="486" rhead="Preludes de l’Harmonie."/> res qui ſont indignes d’vn honneſte hã-<lb/>me, par ce que la principale faute de <lb/>cette fable vient de la ſtupidité de ceux <lb/>qui ſe laiſſent abuſer trop ayſément: <lb/></s> <s xml:id="echoid-s6842" xml:space="preserve">Ce qui arriue lors qu’ils ſont portez d’a-<lb/>mour, de haine, de deſeſpoir, ou d’au-<lb/>tres paſſions, qui leur font croire que <lb/>ſil arriue quelque choſe de ce que l’A-<lb/>ſtrologue a predit, que ſon arreſt eſt <lb/>diuin.</s> <s xml:id="echoid-s6843" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6844" xml:space="preserve">Mais lors qu’ils conſidereront que le <lb/>Soleil, & </s> <s xml:id="echoid-s6845" xml:space="preserve">les autres Aſtres ne luiſent <lb/>pas dauantage pour les Roys que pour <lb/>les bergers, & </s> <s xml:id="echoid-s6846" xml:space="preserve">qu’ils roulent auſſi bien <lb/>pour tous les animaux que pour eux, <lb/>quoy que le deſtin des beſtes ſoit bien <lb/>éloigné du leur, ils auront honte d’a-<lb/>uoir eſté de ſi legere croyance, & </s> <s xml:id="echoid-s6847" xml:space="preserve">ne ſ’a-<lb/>muſeront pas à c@ que diſentles Hiſto-<lb/>riens tant anciens que modernes, qui <lb/>ont eſté curieux de ramaſſer les bruits <lb/>qui courent, & </s> <s xml:id="echoid-s6848" xml:space="preserve">qui donnent ſouuent <lb/>des contes pour des hiſtoires, parce <lb/>qu’ils ſçauent que ces choſes là ſont <lb/>biĕ receuës du peuple, & </s> <s xml:id="echoid-s6849" xml:space="preserve">que ces bour-<lb/>des ſont leuës auec plaiſir, & </s> <s xml:id="echoid-s6850" xml:space="preserve">attention.</s> <s xml:id="echoid-s6851" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6852" xml:space="preserve">L’on peut voir dans Plutarque qu’O-<lb/>ctaue & </s> <s xml:id="echoid-s6853" xml:space="preserve">Marius ſ’eſtant fiezaux Aſtro- <pb o="105" file="00488" n="487" rhead="Preludes de l’Harmonie."/> logues, celuy-la fut trompé: </s> <s xml:id="echoid-s6854" xml:space="preserve">qu’ils pre-<lb/>diſent mille choſes aux Princes pour les <lb/>flater, cõme lors qu’ils predirent l’Em-<lb/>pire à Auguſte, quoy que cela ne peuſt <lb/>arriuer que par la mort de Ceſar, & </s> <s xml:id="echoid-s6855" xml:space="preserve">de <lb/>Pompée, à qui ils auoient promis vne <lb/>longue vie, au rapport de Ciceron dans <lb/>le 2. </s> <s xml:id="echoid-s6856" xml:space="preserve">de la diuination.</s> <s xml:id="echoid-s6857" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6858" xml:space="preserve">Où il faut remarquer, que Scaliger <lb/>maintient dans ſa preface ſur Manile, <lb/>qu’ Auguſte n’eft pas nay ſouz le Capri-<lb/>corne Horoſcopant, mais pluſtoſt ſouz <lb/>le ſigne oppoſé Quoy que s’en ſoit, <lb/>combien en voit-on qui naiſſent ſouz <lb/>l’vn, & </s> <s xml:id="echoid-s6859" xml:space="preserve">l’autre ſigne, & </s> <s xml:id="echoid-s6860" xml:space="preserve">qui neantmoins <lb/>ne ſont ny Princes ny Roys, mais de <lb/>pauures vignerons? </s> <s xml:id="echoid-s6861" xml:space="preserve">delà vient que Car-<lb/>dan n’a pas promis vn Empire à Coſme <lb/>de Medicis dans ſa 4. </s> <s xml:id="echoid-s6862" xml:space="preserve">figure, encore <lb/>qu’il ayt vne natiuité ſemblable à celle <lb/>d’Auguſte, mais ſeulement la pruden-<lb/>ce; </s> <s xml:id="echoid-s6863" xml:space="preserve">& </s> <s xml:id="echoid-s6864" xml:space="preserve">bien qu’il ſe ſoit luy-meſme fait <lb/>mourir de faim, afin de n’eſtre pas con-<lb/>uaincu de menſonge dans le iugement <lb/>de ſa natiuitè, comme remarque Scali-<lb/>ger dans ladite preface, il n’a pourtant <lb/>peu predire la mort de Iean Baptiſte ſon <lb/>fils, qui receut vn coup d’arquebuſe <pb o="106" file="00489" n="488" rhead="Preludes de l’Harmonie."/> eſtant âgé de 24. </s> <s xml:id="echoid-s6865" xml:space="preserve">ans pour auoir empoi-<lb/>ſonné ſa femme, comme a remarqué <lb/>Sixtus ab Heminga dans ſa derniere <lb/>natiuité. </s> <s xml:id="echoid-s6866" xml:space="preserve">Quant à Pic de la Mirando-<lb/>le, il eſt mort eſtant âgé de 31. </s> <s xml:id="echoid-s6867" xml:space="preserve">an: </s> <s xml:id="echoid-s6868" xml:space="preserve">Et <lb/>neantmoins Gautic confeſſe qu’il luy <lb/>auoit ſeulement predit la mort auant <lb/>36. </s> <s xml:id="echoid-s6869" xml:space="preserve">ans.</s> <s xml:id="echoid-s6870" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6871" xml:space="preserve">Mais ie ne croy pas que l’on puiſſe <lb/>parler plus amplement de cetart pre-<lb/>tendu ſans abuſer dela patience des le-<lb/>cteurs. </s> <s xml:id="echoid-s6872" xml:space="preserve">C’eſt pourquoy il faut paſſer à <lb/>des diſcours plus vtiles, & </s> <s xml:id="echoid-s6873" xml:space="preserve">imiter les<emph style="sc">M</emph>e-<lb/>decins, qui tirent les alexipharmaques <lb/>du poiſon, & </s> <s xml:id="echoid-s6874" xml:space="preserve">la Theriaque de la Vi-<lb/>pere.</s> <s xml:id="echoid-s6875" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div190" type="section" level="1" n="154"> <head xml:id="echoid-head251" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s6876" xml:space="preserve">Ie deſire que tout le diſcours que i’ay <lb/>fait de l’A ſtrologie ſ’entende ſeulemĕt <lb/>de celle que l’on nous a donnée iuſques <lb/>àpreſent, ſans des principes qui puiſſent <lb/>contenter l’eſprit, car ie ne veux pas <lb/>nier que l’õ ne puiſſe ſçauoir beaucoup <lb/>de choſes par la contemplation, & </s> <s xml:id="echoid-s6877" xml:space="preserve">le <lb/>rapport que les corps celeſtes ont auec <lb/>la terre, lors que Dieu en aura donné la <pb o="107" file="00490" n="489" rhead="Preludes de l’Harmonie."/> veritable connoiſſance à ceux qu’il luy <lb/>plaira. </s> <s xml:id="echoid-s6878" xml:space="preserve">Et peut-eſtre qu’il ne ſe fait riĕ <lb/>dans les Elemĕs, ni dãs mixtes de la na-<lb/>ture qui ne depĕde de la’differĕte con-<lb/>ſtitutiõ des Aſtres, ou qui ne ſoit ſignifié <lb/>par leurs rencontres, & </s> <s xml:id="echoid-s6879" xml:space="preserve">aſpects, ſoit de-<lb/>uant, ſoit à l’heure que les choſes arri-<lb/>uent; </s> <s xml:id="echoid-s6880" xml:space="preserve">mais parce que cela n’eſt pas cer-<lb/>tain, & </s> <s xml:id="echoid-s6881" xml:space="preserve">que nous n’auons nul moyen <lb/>de le ſçauoir, c’eſt perdre le temps que <lb/>de faire des Horoſcopes pour trouuer <lb/>la qualité du temperament, de l’eſprit, <lb/>ou des autres choſes que l’on deſire ſça-<lb/>uoir.</s> <s xml:id="echoid-s6882" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div191" type="section" level="1" n="155"> <head xml:id="echoid-head252" xml:space="preserve">COROLLAIRE II.</head> <p> <s xml:id="echoid-s6883" xml:space="preserve">Tous les diſcours precedĕs n’eſtoient <lb/>pas neceſſaires pour les Geometres, qui <lb/>ne doutent pas qu’vne centainede chã-<lb/>delles d’vn denier diſperſées à l’entour <lb/>d’vne grãde ſale, ou d’vne chambre de <lb/>cent pieds en quarré, ont plus de force <lb/>ſur celui qui eſt au milieu de ladite chã-<lb/>bre, que n’ont toute@les eſtoiles du Fir-<lb/>mament ſur les hommes, puis que les <lb/>chandelles l’éclairent, & </s> <s xml:id="echoid-s6884" xml:space="preserve">l’échauffent <lb/>dauantage, & </s> <s xml:id="echoid-s6885" xml:space="preserve">conſequemmĕt produi- <pb o="108" file="00491" n="490" rhead="Preludes de l’Harmonie."/> ſent de plus grandes influences ſur luy <lb/>que leſdites étoiles, ou que Saturne, <lb/>Iupiter, Mars, Venus, & </s> <s xml:id="echoid-s6886" xml:space="preserve">Mercure. </s> <s xml:id="echoid-s6887" xml:space="preserve">Ce <lb/>qu’il faut ſemblablement conclurre de <lb/>la Lune, qui n’a pas plus de force ſur <lb/>nous qu’vn flambeau de cire qui nous <lb/>éclaire auſſi fort, & </s> <s xml:id="echoid-s6888" xml:space="preserve">auſſi long-temps, <lb/>Mais parce que tout le monde ne ſe cõ-<lb/>tente pas d’vn raiſonnement ſi ſimple <lb/>que celuy-cy, il a fallu l’eſtendre plus <lb/>au long.</s> <s xml:id="echoid-s6889" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6890" xml:space="preserve">Si les Aſtrologues conſiderent que <lb/>ſouz l’Equateur, ils n’ont nulle raiſ@n <lb/>qui les fauoriſe pour mettre l’exaltatiõ <lb/>du ☉ pluſtoſt dans le Lion, que dans le <lb/>Verſeau, ou dans laBalance, que dans le <lb/>Belier, & </s> <s xml:id="echoid-s6891" xml:space="preserve">que toutes leurs hypotheſes, <lb/>&</s> <s xml:id="echoid-s6892" xml:space="preserve">, leurs diuiſions manquĕt ſouz l’équi-<lb/>noctial, ou ſouz les poles, & </s> <s xml:id="echoid-s6893" xml:space="preserve">qu’ils n’õt <lb/>iamais fait aucune obſeruation ſi exa-<lb/>cte qu’ils en vouluſſent, ou qu’ils en <lb/>peuſſent répondre auſſi aſſeurément <lb/>que d’vn principe de Geometrie, ou de <lb/>quelqu’autre ſcience, i’eſpere qu’ils <lb/>quitteront cet art, lequel eſt capable <lb/>de rendre les hommes les plus ſages du <lb/>monde les plus infames de la terre.</s> <s xml:id="echoid-s6894" xml:space="preserve"/> </p> <pb o="109" file="00492" n="491" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div192" type="section" level="1" n="156"> <head xml:id="echoid-head253" xml:space="preserve">COROLLAIRE III.</head> <p> <s xml:id="echoid-s6895" xml:space="preserve">I’eſpere faire voir dans vn autre lieu <lb/>que la terre enuoye plus d’influences <lb/>ſur la Lune, & </s> <s xml:id="echoid-s6896" xml:space="preserve">ſur les autres planettes <lb/>qu’elle n’en reçoit de toutes les étoiles, <lb/>& </s> <s xml:id="echoid-s6897" xml:space="preserve">qu’elle n’eſt tout au plus redeuable <lb/>qu’au Soleil: </s> <s xml:id="echoid-s6898" xml:space="preserve">d’où l’on conclurra par de <lb/>nouuelles raiſons, que la Iudiciaite n’a <lb/>point encore de principes qui nous <lb/>ſoient connus: </s> <s xml:id="echoid-s6899" xml:space="preserve">& </s> <s xml:id="echoid-s6900" xml:space="preserve">que ſi ce qui arriue <lb/>ſur la terre, depend des Aſtres, la con-<lb/>noiſſance en eſt tellement reſeruée à <lb/>Dieu, que les hommes ne peuuent rai-<lb/>ſonnablement la deſirer, ny l’eſperer <lb/>iuſques à ce qu’il luy plaiſe de la leur <lb/>reueler.</s> <s xml:id="echoid-s6901" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div193" type="section" level="1" n="157"> <head xml:id="echoid-head254" xml:space="preserve">QVESTION IV.</head> <head xml:id="echoid-head255" style="it" xml:space="preserve">A ſçauoir ſi le temperament du parfait Muſi-<lb/>cien doit eſtre ſanguin, phlegmatique, bi-<lb/>lieux, ou melancholique, pour eſtre capable <lb/>de chanter, ou de compvſer les plus beaux <lb/>airs qui ſoient po{ſS}ibles.</head> <p> <s xml:id="echoid-s6902" xml:space="preserve">IL eſt tres-difficile de pouuoir tolle-<lb/>ment rencontrer ſur ce ſujet que l’on <pb o="110" file="00493" n="492" rhead="Preludes de l’Harmonie."/> ſatisface à tout le monde, car quelque <lb/>choſe que l’on en puiſſe dire, l’on ne <lb/>peut produire de demonſtrations ceo-<lb/>metriques pour prouuer quel doit eſtre <lb/>le temperament d’vn parfait Muſicien: <lb/></s> <s xml:id="echoid-s6903" xml:space="preserve">car encore que ce temperament fuſt <lb/>poſſible, neantmoins la difficulté de-<lb/>meure touſiours, qui conſiſte à ſçauoir <lb/>quel il doit eſtre pour compoſer les plus <lb/>beaux chants qui ſe puiſſent faire, ou <lb/>pour les chanter auec toute la perfectiõ <lb/>qui ſe peut imaginer.</s> <s xml:id="echoid-s6904" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6905" xml:space="preserve">Quelques-vns croyent que le melan-<lb/>cholique eſt le plus propre de tous pour <lb/>la Theorie de la Muſique, dautant qu’il <lb/>fait ordinairement de ſerieuſes refle-<lb/>xions, qui ſont neceſſaires pour acque-<lb/>rir la connoiſſance de la parfaite Com-<lb/>poſition, laquelle ſuppoſe de profondes <lb/>meditations ſur toutes les parties de la <lb/>Philoſophie, & </s> <s xml:id="echoid-s6906" xml:space="preserve">des Mathematiques.</s> <s xml:id="echoid-s6907" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6908" xml:space="preserve">A quoy ils adioûtent que la terre pre-<lb/>domine dans le melancholique, qui ſe <lb/>porte auec vne plus grande inclination <lb/>à la compoſition, & </s> <s xml:id="echoid-s6909" xml:space="preserve">à l’ordonnance des <lb/>tons, que le cholere, le ſanguin, ou le <lb/>phlegmatique. </s> <s xml:id="echoid-s6910" xml:space="preserve">Ie laiſſe maintenant le <lb/>temperament parfaitement naturel, <pb o="111" file="00494" n="493" rhead="Preludes de l’Harmonie."/> qu’ils preferent à tous les autres.</s> <s xml:id="echoid-s6911" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6912" xml:space="preserve">Or le cholerique tenant des qualitez <lb/>du feu, eſt plus propre pour la deſtru-<lb/>ction, à cauſe de ſon actiuité, qu’il n’eſt <lb/>pour la compoſition: </s> <s xml:id="echoid-s6913" xml:space="preserve">Le ſanguin eſt <lb/>ſemblable à l’air, lequel ayant vn corps <lb/>fort, rare, & </s> <s xml:id="echoid-s6914" xml:space="preserve">ſubtil, ne peut contribuer <lb/>que bien peu de choſe à la compoſitiõ: <lb/></s> <s xml:id="echoid-s6915" xml:space="preserve">& </s> <s xml:id="echoid-s6916" xml:space="preserve">le phlegmatique, qui eſt rapporté à <lb/>l’eau, n’a pas le corps aſſez ſolide, & </s> <s xml:id="echoid-s6917" xml:space="preserve">no <lb/>peut pas beaucoup ayder à la compoſi-<lb/>tion, à raiſon de ſon flus ordinaire, qui <lb/>ne permet pas que l’eſprit s’arreſte aux <lb/>hautes penſees, & </s> <s xml:id="echoid-s6918" xml:space="preserve">aux ſpeculations qui <lb/>ſont neceſſaires pour ce ſujet.</s> <s xml:id="echoid-s6919" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6920" xml:space="preserve">Mais la terre ayant ſon corps ferme, <lb/>& </s> <s xml:id="echoid-s6921" xml:space="preserve">ſolide, eſt plus propre que les autres <lb/>elemens pour la compoſition des cho-<lb/>ſes, c’eſt pourquoy elle eſt preferable à <lb/>la lumiere vacillante du feu, à la tranſ-<lb/>parance de l’air, & </s> <s xml:id="echoid-s6922" xml:space="preserve">à la blancheur cou-<lb/>lante de l’eau; </s> <s xml:id="echoid-s6923" xml:space="preserve">car la conſtitution cor-<lb/>porelle, qui eſt cauſe de ſa noirceur, luy <lb/>donnevne inclination naturelle à la cõ-<lb/>poſition, & </s> <s xml:id="echoid-s6924" xml:space="preserve">rĕd le melancholique pro-<lb/>pre pour l’inuention, & </s> <s xml:id="echoid-s6925" xml:space="preserve">pour la compo-<lb/>ſition de la Muſique.</s> <s xml:id="echoid-s6926" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6927" xml:space="preserve">Au contraire le cholerique eſt trop <pb o="112" file="00495" n="494" rhead="Preludes de l’Harmonie."/> prõpt & </s> <s xml:id="echoid-s6928" xml:space="preserve">trop actif, & </s> <s xml:id="echoid-s6929" xml:space="preserve">n’a pas les organes <lb/>bien diſpoſées pour arranger les ſons, & </s> <s xml:id="echoid-s6930" xml:space="preserve"><lb/>pour faire de beaux airs. </s> <s xml:id="echoid-s6931" xml:space="preserve">Le ſanguin eſt <lb/>ſemblablement trop leger, & </s> <s xml:id="echoid-s6932" xml:space="preserve">trop in-<lb/>conſtant; </s> <s xml:id="echoid-s6933" xml:space="preserve">& </s> <s xml:id="echoid-s6934" xml:space="preserve">le phlegmatique n’a pas l’i-<lb/>magination bien temperée à cauſe de <lb/>ſes froides humeurs, & </s> <s xml:id="echoid-s6935" xml:space="preserve">des ſuperfluitez <lb/>qui incommodent ſes organes, c’eſt <lb/>pourquoy ils concluent que le tempe-<lb/>rament melancholique eſt le plus pro-<lb/>pre pour la Muſiqu@; </s> <s xml:id="echoid-s6936" xml:space="preserve">ce qu’ils confir-<lb/>ment par les voyelles de l’alphabet, <lb/>qu’ils appliquent aux quatre tempera-<lb/>mens; </s> <s xml:id="echoid-s6937" xml:space="preserve">car, diſent-ils, la voyelle, E, eſt <lb/>la plus propre de toutes pour la compo-<lb/>fition des conſones; </s> <s xml:id="echoid-s6938" xml:space="preserve">dautant qu’elle les <lb/>fait preſque toutes, à raiſon de la matie-<lb/>re, qui répond à la terre, n’y ayant que <lb/>H, & </s> <s xml:id="echoid-s6939" xml:space="preserve">K, qui ſont formees par la voyel-<lb/>le A, (laquelle a fort peu de matiere à <lb/>l’égard de l’E,) & </s> <s xml:id="echoid-s6940" xml:space="preserve">Q, qui eſt formé <lb/>par V; </s> <s xml:id="echoid-s6941" xml:space="preserve">car I & </s> <s xml:id="echoid-s6942" xml:space="preserve">O eſtans trop ſubtiles & </s> <s xml:id="echoid-s6943" xml:space="preserve"><lb/>deliés, ne compoſent aucune conſone.</s> <s xml:id="echoid-s6944" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6945" xml:space="preserve">Ils attribuent V, au ſanguin, parce <lb/>qu’elle a le corps ſi rarefié, qu’elle n’a <lb/>peu compoſer qu’vne conſone. </s> <s xml:id="echoid-s6946" xml:space="preserve">Ils don-<lb/>nent l’I, au cholerique, & </s> <s xml:id="echoid-s6947" xml:space="preserve">l’A, au phleg-<lb/>matique, qui ne peut paruenir à la par- <pb o="113" file="00496" n="495" rhead="Preludes de l’Harmonie."/> faicte compoſition de la Muſique, n’a-<lb/>yant pas ſa matiere aſſez ſolide pour <lb/>perſiſter dans le trauail de la Theorie, <lb/>& </s> <s xml:id="echoid-s6948" xml:space="preserve">dans la ſpeculation de la Muſique, <lb/>comme fait le melancholique, qui a vn <lb/>particulier rapport à la voyelle E, qui <lb/>compoſe B, C, D, G, M, N, P, R, S, <lb/>T & </s> <s xml:id="echoid-s6949" xml:space="preserve">Z, c’eſt pour quoy il medite perpe-<lb/>tuellement, & </s> <s xml:id="echoid-s6950" xml:space="preserve">fait des reflexions qui <lb/>ſont propres pour paruenir à la parfai-<lb/>cte compoſitiõ de la Muſique, à laquel-<lb/>le les autres temperamens ne peuuent <lb/>arriuer ſi aiſément.</s> <s xml:id="echoid-s6951" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6952" xml:space="preserve">Et ſi nous paſſons de la Theorie, & </s> <s xml:id="echoid-s6953" xml:space="preserve"><lb/>de la compoſition des beaux airs à la <lb/>Pratique, ils diſent que le temperamĕt <lb/>cholerique, & </s> <s xml:id="echoid-s6954" xml:space="preserve">le ſanguin y ſont plus <lb/>propres que les deux autres, dautãt que <lb/>la Muſique n’eſt qu’vn jeu diuerſement <lb/>meſuré, qui ſert pour ſoulager, & </s> <s xml:id="echoid-s6955" xml:space="preserve">pour <lb/>deſennuyer l’eſprit: </s> <s xml:id="echoid-s6956" xml:space="preserve">or les ſanguins & </s> <s xml:id="echoid-s6957" xml:space="preserve"><lb/>les choleriques ſe portent plus facile-<lb/>ment à l’exercice des chants, & </s> <s xml:id="echoid-s6958" xml:space="preserve">à tou-<lb/>tes ſortes de recreations, que les phleg-<lb/>matiques, ou les melancholiques, qui <lb/>ont leurs organes, & </s> <s xml:id="echoid-s6959" xml:space="preserve">particulierement <lb/>leurs voix beaucoup plus groſſieres, & </s> <s xml:id="echoid-s6960" xml:space="preserve"><lb/>plus chargées d’impurerez, à raifon de <pb o="114" file="00497" n="496" rhead="Preludes de l’Harmonie."/> l’humidité, & </s> <s xml:id="echoid-s6961" xml:space="preserve">de la ſechereſſe, qui em-<lb/>peſchent le roulement desvoix harmo-<lb/>nieuſes.</s> <s xml:id="echoid-s6962" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6963" xml:space="preserve">De là vient que le melancholique, <lb/>& </s> <s xml:id="echoid-s6964" xml:space="preserve">le phlegmatique chantent rarement <lb/>en comparaiſon des ſanguins & </s> <s xml:id="echoid-s6965" xml:space="preserve">des <lb/>choletes, qui ſont plus déchargez d’im-<lb/>puretez, à cauſe de l’humidité & </s> <s xml:id="echoid-s6966" xml:space="preserve">de la <lb/>chaleur qui predominent en eux, & </s> <s xml:id="echoid-s6967" xml:space="preserve">qui <lb/>par conſequent ont plus d’inclination <lb/>à chanter pour ſe reſioüir dans les di-<lb/>uerſes rencontres: </s> <s xml:id="echoid-s6968" xml:space="preserve">car chacun ſuit le <lb/>mouuement de ſon temperament, cõ-<lb/>me il arriue au melancholique, qui <lb/>ſuit le mouuement des ennuis, & </s> <s xml:id="echoid-s6969" xml:space="preserve">de la <lb/>triſteſſe, qui luy ſont ordinaires, & </s> <s xml:id="echoid-s6970" xml:space="preserve">qui <lb/>ſont fort eſloignez des chants & </s> <s xml:id="echoid-s6971" xml:space="preserve">de la <lb/>joye.</s> <s xml:id="echoid-s6972" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6973" xml:space="preserve">C’eſt pourquoy les Hebrieux qui <lb/>rapportent quatre de leurs eſprits, ou <lb/>de leurs lettres aux quatre ſuſdits tem-<lb/>pram ens, approprientleur ע hain tres-<lb/>apre, & </s> <s xml:id="echoid-s6974" xml:space="preserve">tres-rude au melancholique, <lb/>car il ſe prononce des narines, & </s> <s xml:id="echoid-s6975" xml:space="preserve">du go-<lb/>ſier, comme ſi l’on prononçoit gnhain.</s> <s xml:id="echoid-s6976" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6977" xml:space="preserve">Le phlegmatique a vne grande quan-<lb/>tité d’eau corporifiée, & </s> <s xml:id="echoid-s6978" xml:space="preserve">par conſe-<lb/>quent il approche de la groſſiereté du <pb o="115" file="00498" n="497" rhead="Preludes de l’Harmonie."/> melancholique, & </s> <s xml:id="echoid-s6979" xml:space="preserve">ſuit les mouuemens <lb/>froids & </s> <s xml:id="echoid-s6980" xml:space="preserve">tardifs de l’eau, ce que les He-<lb/>brieux ont repreſenté par leur eſprit, <lb/>ou par leur lettre ח, qui a la prolation <lb/>beaucoup plus dure & </s> <s xml:id="echoid-s6981" xml:space="preserve">plus rude que la <lb/>lettre ח, ou א.</s> <s xml:id="echoid-s6982" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6983" xml:space="preserve">Le ſanguin ſuit les mouuemens ſub-<lb/>tils de l’air, qui le font chanter plus ſou-<lb/>uent, c’eſt pourquoy les Hebrieux luy <lb/>attribuënt la lettre ח, qui ſe prononce <lb/>plus doucement & </s> <s xml:id="echoid-s6984" xml:space="preserve">plus mollement que <lb/>les deux autres ע haïn, & </s> <s xml:id="echoid-s6985" xml:space="preserve">ח chet; </s> <s xml:id="echoid-s6986" xml:space="preserve">mais <lb/>tout ce que l’on rapporte de ces lettres, <lb/>ou des eſprits des lettres & </s> <s xml:id="echoid-s6987" xml:space="preserve">des accents, <lb/>eſt fabuleux, & </s> <s xml:id="echoid-s6988" xml:space="preserve">n’a point d’autre fonde-<lb/>ment que la fantaiſie de quelques igno-<lb/>rans, qui veulent que l’on croye qu’ils <lb/>ſont ſçauans dans vn certain genre de <lb/>Cabale, qui n’eſt que dans leur imagi-<lb/>nation.</s> <s xml:id="echoid-s6989" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6990" xml:space="preserve">Finalement le cholerique eſt plus <lb/>propre pour bien chanter que tous les <lb/>@utres, à raiſon des qualitez du feu qui <lb/>ſe trouuent dans le temperament bi-<lb/>lieux, & </s> <s xml:id="echoid-s6991" xml:space="preserve">qui font que le cholere roule <lb/>plus nettement les chanſons, dautant <lb/>qu’il n’a point d’empeſchement du co-<lb/>ſté de la matiere melancholique, ny d@ <pb o="116" file="00499" n="498" rhead="Preludes de l’Harmonie."/> l’humidité phlegmatique, trop cruë, & </s> <s xml:id="echoid-s6992" xml:space="preserve"><lb/>propre pour les rheumes, & </s> <s xml:id="echoid-s6993" xml:space="preserve">pour les ca-<lb/>therres. </s> <s xml:id="echoid-s6994" xml:space="preserve">C’eſt pourquoy les Hebrieux <lb/>ont donné leur doux א alcph au tempe-<lb/>rament cholerique, car cettelettre ſe <lb/>prononce ſi facilement, & </s> <s xml:id="echoid-s6995" xml:space="preserve">ſi doucemĕt <lb/>qu’elle eſt preſque imperceptible.</s> <s xml:id="echoid-s6996" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s6997" xml:space="preserve">Il eſt donc euident qu’ils donnent le <lb/>premier rang au bilieux, le ſecond au <lb/>ſanguin, le troiſieſmeau phleg matique, <lb/>& </s> <s xml:id="echoid-s6998" xml:space="preserve">le quatrieſme au melancholique, <lb/>quand il eſt queſtion de chanter: </s> <s xml:id="echoid-s6999" xml:space="preserve">mais <lb/>ils en exceptent le cinquieſme tempe-<lb/>rament, qu’ils comparent à la quinte-<lb/>eſſence, ou au Ciel: </s> <s xml:id="echoid-s7000" xml:space="preserve">auquel les He-<lb/>brieux att@ibuent leur iod, ‘, & </s> <s xml:id="echoid-s7001" xml:space="preserve">les La-<lb/>tins la voyelle O, dautant que ce tem-<lb/>perament contient les quatre autres en <lb/>eminence, comme le iod, contient tou-<lb/>tes les lettres de l’alphabet, & </s> <s xml:id="echoid-s7002" xml:space="preserve">cõme le <lb/>principe contient ſes effects La voyelle <lb/>O eſtant ronde contient toutes ſortes <lb/>de figures, & </s> <s xml:id="echoid-s7003" xml:space="preserve">les ſurpaſſe, comme le <lb/>cinquieſme temperament, (auquel le <lb/>parfait temperamĕt peut eſtre rappor-<lb/>té, que les Medecins appellent ad pon-<lb/>dus) contient & </s> <s xml:id="echoid-s7004" xml:space="preserve">ſurpaſſe tous les au-<lb/>tres.</s> <s xml:id="echoid-s7005" xml:space="preserve"/> </p> <pb o="117" file="00500" n="499" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s7006" xml:space="preserve">Quelques autres croyent que le tem-<lb/>pera ment ſanguin eſt le plus propre <lb/>pour faire & </s> <s xml:id="echoid-s7007" xml:space="preserve">pour chanter les airs, dau-<lb/>tant qu’il eſt le plus ioyeux, & </s> <s xml:id="echoid-s7008" xml:space="preserve">qu’il a <lb/>vne plus grande reſſemblãce auec l’air, <lb/>qui reçoit & </s> <s xml:id="echoid-s7009" xml:space="preserve">qui porte les chants iuſ-<lb/>ques à l’oreille: </s> <s xml:id="echoid-s7010" xml:space="preserve">mais puis que le chant, <lb/>dont nous parlons icy, doit eſtre agrea-<lb/>ble à tout le monde, ſi le ſanguin eſtoit <lb/>propre pour le faire, ou pour le chan-<lb/>ter, pourquoy les viandes, qui ſont <lb/>agreables, & </s> <s xml:id="echoid-s7011" xml:space="preserve">propres aux ſanguins, no <lb/>ſont elle, pas auſſi propres, & </s> <s xml:id="echoid-s7012" xml:space="preserve">agreables <lb/>à toutes ſortes de temperamĕs, en quel-<lb/>que âge, ſaiſon, ou Prouince qu’ils puiſ-<lb/>ſent ſe rencontrer; </s> <s xml:id="echoid-s7013" xml:space="preserve">ce qui eſt contraire <lb/>aux loix, & </s> <s xml:id="echoid-s7014" xml:space="preserve">aux preceptes des Mede-<lb/>cins: </s> <s xml:id="echoid-s7015" xml:space="preserve">car on donne vne autre viande <lb/>aux vieillards, qu’aux enfans, & </s> <s xml:id="echoid-s7016" xml:space="preserve">vne <lb/>autre aux pituiteux, qu’aux bilieux.</s> <s xml:id="echoid-s7017" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7018" xml:space="preserve">D’ailleurs, la Muſique eſtant vn ou-<lb/>urage de l’imagination rempli de cha-<lb/>leur, & </s> <s xml:id="echoid-s7019" xml:space="preserve">de ſechereſſe, il ne ſe peut faire <lb/>que le ſanguin ſoit propre pour compo-<lb/>ſer le chant dont nous parlons. </s> <s xml:id="echoid-s7020" xml:space="preserve">A quoy <lb/>l’on peut adiouſter que le temperamĕt <lb/>ſanguin n’eſt pas le plus porté à l’excez <lb/>du plaiſir que la Muſique apporte, car <pb o="118" file="00501" n="500" rhead="Preludes de l’Harmonie."/> il n’y a point de temperament plus pro-<lb/>pre à la Metriopatie, ſi l’on excepte la <lb/>paſſion d’amour: </s> <s xml:id="echoid-s7021" xml:space="preserve">par conſequent enco-<lb/>re que le temperament ſanguin ſoit le <lb/>meilleur de tous les autres, pour ce qui <lb/>appartient aux actions animales, il <lb/>n eſt pas le meilleur pour les actions de <lb/>l’eſprit.</s> <s xml:id="echoid-s7022" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7023" xml:space="preserve">De là vient que les Naturaliſtes di-<lb/>ſent que les hõmes ſanguins ſont doux, <lb/>benins, gracieux, raillards, & </s> <s xml:id="echoid-s7024" xml:space="preserve">de longue <lb/>vie, mais ſtupides & </s> <s xml:id="echoid-s7025" xml:space="preserve">d’vn eſprit peſant, <lb/>& </s> <s xml:id="echoid-s7026" xml:space="preserve">qu’ils ont moins de viuacité que les <lb/>bilieux, & </s> <s xml:id="echoid-s7027" xml:space="preserve">ſont moins aduiſez, & </s> <s xml:id="echoid-s7028" xml:space="preserve">indu-<lb/>ſtricux que les melancholiques; </s> <s xml:id="echoid-s7029" xml:space="preserve">il ne <lb/>ſenſuit done pas que le temperament <lb/>ſanguin ſoit le plus propre pour com-<lb/>poſer les airs de Muſique, bien qu’il ſoit <lb/>le meilleur, & </s> <s xml:id="echoid-s7030" xml:space="preserve">le plus propre pour les <lb/>actions de la vie.</s> <s xml:id="echoid-s7031" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7032" xml:space="preserve">Or cette contrarieté d’opinions fait <lb/>voir qu’il eſt trop difficile de trouuer le <lb/>temperament de l’excellent Muſicien, <lb/>dont nous parlons: </s> <s xml:id="echoid-s7033" xml:space="preserve">neantmoins puis <lb/>qu’Apollon a eſté tenu des Anciĕs pour <lb/>le Dieu de la Medecine, voyons ſi elle <lb/>nous pourra donner ce temperament, <lb/>puiſque la complexion n’eſt autre cho- <pb o="119" file="00502" n="501" rhead="Preludes de l’Harmonie."/> ſe qu’vne harmonie, ou vn accord des <lb/>quatre ſimples qualitez elementaires, <lb/>à ſçauoir de la chaleur, de la froideut, <lb/>de l’humidité, & </s> <s xml:id="echoid-s7034" xml:space="preserve">de la ſiccité; </s> <s xml:id="echoid-s7035" xml:space="preserve">ou pour <lb/>mieux dire, vn mélange du chaud, du <lb/>froid, du ſec, & </s> <s xml:id="echoid-s7036" xml:space="preserve">de l’humide.</s> <s xml:id="echoid-s7037" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7038" xml:space="preserve">Il faut donc premierementremar-<lb/>quer que tous les temperamens peu-<lb/>uent eſtre reduits à deux chefs: </s> <s xml:id="echoid-s7039" xml:space="preserve">car tou-<lb/>te ſorte de temperament eſt temperé, <lb/>ou intĕperé, témoin Galien au liure des <lb/>temperamens: </s> <s xml:id="echoid-s7040" xml:space="preserve">l’intemperé, eſt celuy qui <lb/>eſt vicieux, car il empeſche les actions <lb/>en trois manieres, dautant qu’elles ſont <lb/>ou deprauées, ou diminuées, ou abo-<lb/>lies. </s> <s xml:id="echoid-s7041" xml:space="preserve">Le temperé eſt à poids, & </s> <s xml:id="echoid-s7042" xml:space="preserve">égalité,, ou <lb/>à iuſtice; </s> <s xml:id="echoid-s7043" xml:space="preserve">le premier eſt appellé par les <lb/>Grecs, εἰς {στ}άθως & </s> <s xml:id="echoid-s7044" xml:space="preserve">par les Latins adpon-<lb/>dus, dautant qu’il a portions égales des <lb/>elemens, de maniere qu’vne qualité ne <lb/>ſurmonte point l’autre. </s> <s xml:id="echoid-s7045" xml:space="preserve">Le ſecond eſt <lb/>appellé εἰς τὴν δ@χο@οσίνην<unsure/> ou ad iuſtitiam, qui <lb/>n’a pas vne égalle portion des elemens; <lb/></s> <s xml:id="echoid-s7046" xml:space="preserve">mais c’eſt luy qui rend tous les corps <lb/>propres, & </s> <s xml:id="echoid-s7047" xml:space="preserve">habiles pour exercer leurs <lb/>operations, & </s> <s xml:id="echoid-s7048" xml:space="preserve">ſe trouue en toutes ſortes <lb/>de perſonnes plus ou moins temperées, <lb/>ſelon leur âge, leur habitude, leur pays, <pb o="120" file="00503" n="502" rhead="Preludes de l’Harmonie."/> ou leur maniere de viure.</s> <s xml:id="echoid-s7049" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7050" xml:space="preserve">Quant au premier temperament, <lb/>Auicenne, Auerroës, & </s> <s xml:id="echoid-s7051" xml:space="preserve">les autres Ara-<lb/>bes, diſent qu’il ne ſe peut rencontrer, <lb/>dautãt qu’vn corps mixte qui doit agir, <lb/>ne peut eſtre compoſé de qualitez qui <lb/>ſoient égaies, & </s> <s xml:id="echoid-s7052" xml:space="preserve">contraires; </s> <s xml:id="echoid-s7053" xml:space="preserve">neãtmoins <lb/>Galien eſt de contraire aduis dans le li-<lb/>ure de Sanitate tuenda, chap. </s> <s xml:id="echoid-s7054" xml:space="preserve">1.</s> <s xml:id="echoid-s7055" xml:space="preserve">2. </s> <s xml:id="echoid-s7056" xml:space="preserve">& </s> <s xml:id="echoid-s7057" xml:space="preserve">3. </s> <s xml:id="echoid-s7058" xml:space="preserve">Car <lb/>il maintient que cette égalité ſe rencõ-<lb/>tre en la peau interieure de l’extremité <lb/>des doigts d’vn homme temperé à iu-<lb/>ſtice, ceſte peau n’eſtant chaude & </s> <s xml:id="echoid-s7059" xml:space="preserve">hu-<lb/>mide comme la chair, ny froide & </s> <s xml:id="echoid-s7060" xml:space="preserve">ſeche <lb/>comme le nerf, mais comme vn nerf <lb/>charneux; </s> <s xml:id="echoid-s7061" xml:space="preserve">car puis qu’elle eſt l’organe <lb/>du toucher, elle doit eſtre exempte de <lb/>toutes qualitez eſtrangeres, afin qu’elle <lb/>iuge parfaitement des qualitez qui ſe <lb/>peuuĕt toucher, ou pluſtoſt que le ſens <lb/>commun ayant receu les images des <lb/>qualitez par le moyen de la peau, que <lb/>les Grecs appellent Derme, en ſoit le Iu-<lb/>ge, car les ſens exterieurs ne iugent pas <lb/>de leurs objets, cette action eſtant trop <lb/>ſubtile, & </s> <s xml:id="echoid-s7062" xml:space="preserve">trop releuée pour eux: </s> <s xml:id="echoid-s7063" xml:space="preserve">mais <lb/>il eſt neceſſaire que les organes des ſens <lb/>ſoient bien diſpoſez; </s> <s xml:id="echoid-s7064" xml:space="preserve">autrement le ſens <pb o="121" file="00504" n="503" rhead="Preludes de l’Harmonie."/> commun eſt ſouuent deçeu, comme il <lb/>arriue à ceux quiont la jauniſſe, & </s> <s xml:id="echoid-s7065" xml:space="preserve">qui <lb/>voyent les objets ſemblables à la tein-<lb/>ture de la cornée; </s> <s xml:id="echoid-s7066" xml:space="preserve">c’eſt pourquoy ſi le <lb/>ſens du toucher n’eſtoit parfaitement <lb/>temperé, il ne pourroit faire vn fidelle <lb/>rapport au ſens commun du froid, du <lb/>chaud, & </s> <s xml:id="echoid-s7067" xml:space="preserve">des autres qualitez.</s> <s xml:id="echoid-s7068" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7069" xml:space="preserve">Or pour mieux entendre cecy, il faut <lb/>remarquer qu’il y a deux ſortes de tem-<lb/>peramens à poids, l’vn admolem, qui a <lb/>vne égalité de portions elementaires; <lb/></s> <s xml:id="echoid-s7070" xml:space="preserve">c’eſt à dire, qu’vn homme temperé en <lb/>cette façon, auroit vn pied cube de feu, <lb/>& </s> <s xml:id="echoid-s7071" xml:space="preserve">autant d’air, & </s> <s xml:id="echoid-s7072" xml:space="preserve">d’eau, ſuppoſé qu’il <lb/>euſt vn pied cube de terre en ſa compo-<lb/>ſition, ou dans ſa maſſe ſanguinaire, qui <lb/>contient les quatre premieres qualitez; </s> <s xml:id="echoid-s7073" xml:space="preserve"><lb/>ou bien chaque partie peſeroit autant <lb/>l’vne que l’autre, encore que leurs grã-<lb/>deurs fuſſent inegales; </s> <s xml:id="echoid-s7074" xml:space="preserve">c’eſt à dire que <lb/>s’il y auoit vne liure de ſang, il y auroit <lb/>vne liure de phlegme, de bile, & </s> <s xml:id="echoid-s7075" xml:space="preserve">de <lb/>melancholie, qui feroient quatre liures <lb/>pour toute la maſſe du ſang.</s> <s xml:id="echoid-s7076" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7077" xml:space="preserve">Tous les Medecins aſſeurent que ce <lb/>temperament ne ſe peut trouuer, dau-<lb/>tãt que le feu deſtruiroit les autres ele- <pb o="122" file="00505" n="504" rhead="Preludes de l’Harmonie."/> mens, ce que ie ne voudrois pas leur ac-<lb/>corder, qu’ils ne m’en euſſent donné de <lb/>bonnes raiſons: </s> <s xml:id="echoid-s7078" xml:space="preserve">car il ne ſe faut pas ima-<lb/>giner que la qualité, qui répond au feu <lb/>dans le ſang, ou dans le temperament <lb/>de l’homme, ſoit vn feu diſſipant & </s> <s xml:id="echoid-s7079" xml:space="preserve"><lb/>deſtruiſant, ſemblable à noſtre feu arti-<lb/>ficiel, mais il eſt pur & </s> <s xml:id="echoid-s7080" xml:space="preserve">celeſte, tel que <lb/>nous l’imaginons dans l’éther, ou dans <lb/>les Cieux.</s> <s xml:id="echoid-s7081" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7082" xml:space="preserve">L’autre temperament ad pondus, eſt <lb/>appellé ad vires, & </s> <s xml:id="echoid-s7083" xml:space="preserve">eſt fait des vertus ou <lb/>qualitez des elements temperez, tel <lb/>qu’il ſe reneontre dans la peau de la <lb/>main, comme i’ay dit, & </s> <s xml:id="echoid-s7084" xml:space="preserve">au changemĕt <lb/>qui ſe fait d’vne complexion chaude & </s> <s xml:id="echoid-s7085" xml:space="preserve"><lb/>humide, dans vne froide & </s> <s xml:id="echoid-s7086" xml:space="preserve">ſeiche, eſtãt <lb/>neceſſaire de paſſer par le milieu bien <lb/>temperé pour arriuer à l’autre extremi-<lb/>té; </s> <s xml:id="echoid-s7087" xml:space="preserve">ce que ie ne leur accorde pas auſſi, <lb/>car il ſe trouue quantité de choſes qui <lb/>peuuent paſſer d’vne extremité à l’au-<lb/>tre, ſans paſſer par le milieu: </s> <s xml:id="echoid-s7088" xml:space="preserve">Par exem-<lb/>ple, on paſſe d’vn ſon donné à l’Octaue, <lb/>à la Quinte, à la Tierce, & </s> <s xml:id="echoid-s7089" xml:space="preserve">la Douzieſ-<lb/>me, auec les fluſtes, les trompettes, les <lb/>Orgues & </s> <s xml:id="echoid-s7090" xml:space="preserve">les voix, ſans paſſer par les <lb/>ſons du milieu, comme i’ay remarqué <pb o="123" file="00506" n="505" rhead="Preludes de l’Harmonie."/> ailleurs; </s> <s xml:id="echoid-s7091" xml:space="preserve">ce qui arriue auſſi aux angles <lb/>qui ſe font par le cercle, & </s> <s xml:id="echoid-s7092" xml:space="preserve">par ſa tan-<lb/>gente, comparez aux angles faits par la <lb/>meſme tangente, & </s> <s xml:id="echoid-s7093" xml:space="preserve">par le diametre, ou <lb/>par le diametre auoc le cercle. </s> <s xml:id="echoid-s7094" xml:space="preserve">Mais ie <lb/>ne veux pas m’étendre plus amplemĕt <lb/>ſur ce ſujet, afin de venir à la concluſiõ, <lb/>qu’ils tirent de ce qui a eſté dit, à ſça-<lb/>uoir que le parfait Muſicien doit auoir <lb/>le temperament ad vires, dautant que <lb/>Galien enſeigne au ſecond liure des <lb/>Temperamens, & </s> <s xml:id="echoid-s7095" xml:space="preserve">au premier liure de <lb/>ſanitate tuenda, chap. </s> <s xml:id="echoid-s7096" xml:space="preserve">6. </s> <s xml:id="echoid-s7097" xml:space="preserve">que celuy qui eſt <lb/>tres-temperé, eſt tres-prudent, tel que <lb/>doit eſtre le parfait Muſicien.</s> <s xml:id="echoid-s7098" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7099" xml:space="preserve">De plus, celuy qui a acquis le degré <lb/>de perfection, eſt courtois, amiable & </s> <s xml:id="echoid-s7100" xml:space="preserve"><lb/>affable; </s> <s xml:id="echoid-s7101" xml:space="preserve">il n’eſt trop cholere, ny trop <lb/>gay, ny trop triſte: </s> <s xml:id="echoid-s7102" xml:space="preserve">il eſt doux, humble, <lb/>patient au trauail, ayant vne modera-<lb/>tion dans ſes mœurs, & </s> <s xml:id="echoid-s7103" xml:space="preserve">en ſes actions, <lb/>qui eſt proportionnée à la beauté de <lb/>ſon corps, ou à la perfectiõ de ſon tem-<lb/>perament.</s> <s xml:id="echoid-s7104" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7105" xml:space="preserve">Les autres complexions ont leurs <lb/>vices, & </s> <s xml:id="echoid-s7106" xml:space="preserve">leurs imperfections: </s> <s xml:id="echoid-s7107" xml:space="preserve">car le ſan-<lb/>guin eſt trop gay, & </s> <s xml:id="echoid-s7108" xml:space="preserve">ne demande qu’à <lb/>rire & </s> <s xml:id="echoid-s7109" xml:space="preserve">à ſauter, comme Galien a remar- <pb o="124" file="00507" n="506" rhead="Preludes de l’Harmonie."/> qué dans ſon Commentaire ſur le liute <lb/>qu’Hipocrate a fait des humeurs: </s> <s xml:id="echoid-s7110" xml:space="preserve">le <lb/>bilieux eſt trop courageux, trop faſ-<lb/>cheux, & </s> <s xml:id="echoid-s7111" xml:space="preserve">trop cholere: </s> <s xml:id="echoid-s7112" xml:space="preserve">le melancho-<lb/>lique eſt ſoupçonneux, difficile à appai-<lb/>ſer, & </s> <s xml:id="echoid-s7113" xml:space="preserve">à corriger, & </s> <s xml:id="echoid-s7114" xml:space="preserve">trop triſte & </s> <s xml:id="echoid-s7115" xml:space="preserve">crain-<lb/>tif, comme dit Hipocrate en ſes Apho-<lb/>riſmes: </s> <s xml:id="echoid-s7116" xml:space="preserve">le pituiteux eſt pareſſeux, aſ-<lb/>ſoupy, & </s> <s xml:id="echoid-s7117" xml:space="preserve">oublieux, le phlegme n’eſtãt <lb/>pas propre pour rendre vn hõme inge-<lb/>nieur, à raiſon de ſa froideur, & </s> <s xml:id="echoid-s7118" xml:space="preserve">de ſon <lb/>humidité; </s> <s xml:id="echoid-s7119" xml:space="preserve">c’eſt pourquoy toutes ces <lb/>quatre complexions eſtans vicieuſes, <lb/>comme témoignent les âges, les ſaisõs, <lb/>& </s> <s xml:id="echoid-s7120" xml:space="preserve">les pays auſquels les humeurs domi-<lb/>nent, il faut choiſir le temperament ad <lb/>pondus, ex pliqué comme nous auõs fait, <lb/>ſi nous voulons trouuer vn parfait Mu-<lb/>ſicien; </s> <s xml:id="echoid-s7121" xml:space="preserve">car encore que chaque humeur <lb/>ait quelque choſe qui puiſſe ſeruir à la <lb/>perfection du Muſicien, neantmoins <lb/>chacune a sõ vice, & </s> <s xml:id="echoid-s7122" xml:space="preserve">nulle ne peut eſtre <lb/>comparée à la perfection du tempera-<lb/>ment ad vires, qui contient en vertu & </s> <s xml:id="echoid-s7123" xml:space="preserve"><lb/>en éminence tout ce qui peut y auoir <lb/>de perfection dans les autres.</s> <s xml:id="echoid-s7124" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7125" xml:space="preserve">Or apres auoir parlé du temperament <lb/>qui eſt requis pour faire vn parfait Mu- <pb o="125" file="00508" n="507" rhead="Preludes de l’Harmonie."/> ſicien, ilfaut dire quelque choſe de la <lb/>proportiõ que les humeurs ont enſem-<lb/>ble; </s> <s xml:id="echoid-s7126" xml:space="preserve">& </s> <s xml:id="echoid-s7127" xml:space="preserve">partant ſuppoſer qu’il ſe rencon-<lb/>tre trois ſortes d’humeurs dans le corps <lb/>humain, dont les vnes ſont alimentai-<lb/>res, comme celles qui ſont contenuës <lb/>dansles veines, & </s> <s xml:id="echoid-s7128" xml:space="preserve">qui font la maſſe du <lb/>ſang; </s> <s xml:id="echoid-s7129" xml:space="preserve">les autres ſont des excremens <lb/>vtiles, nõ pour la nourriture, mais pour <lb/>d’autres vſages deſtinez par la nature; <lb/></s> <s xml:id="echoid-s7130" xml:space="preserve">car la bile eſt contenuë dans la veſicu-<lb/>le, qui eſt attachée au foye, pour ſeruir <lb/>à faire vuider les excrements; </s> <s xml:id="echoid-s7131" xml:space="preserve">& </s> <s xml:id="echoid-s7132" xml:space="preserve">la me-<lb/>lancholie eſt dans la rate pour y eſtre é-<lb/>labourée, & </s> <s xml:id="echoid-s7133" xml:space="preserve">de là portée dans l’eſto-<lb/>mach par le conduit que l’on appelle, <lb/>vas breue, afin d’exciter l’appetit.</s> <s xml:id="echoid-s7134" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7135" xml:space="preserve">Il y a vn autre humeur ſereux, qui eſt <lb/>inutile pour la nourriture, mais il eſt <lb/>tres-neceſſaire pour détremper le ſang <lb/>trop épais, qui ne pourroit autrement <lb/>eſtre porté dans les veines capillaires.</s> <s xml:id="echoid-s7136" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7137" xml:space="preserve">Les autres humeurs ſont contre na-<lb/>ture, & </s> <s xml:id="echoid-s7138" xml:space="preserve">cauſent les maladies, dont l’vne <lb/>eſt la melancholie, qui prouient d’vne <lb/>chaleur pourriſſante, & </s> <s xml:id="echoid-s7139" xml:space="preserve">tournée en <lb/>cendre; </s> <s xml:id="echoid-s7140" xml:space="preserve">l’autre eſt engendrée de la cho-<lb/>lere vitelline, & </s> <s xml:id="echoid-s7141" xml:space="preserve">la 3. </s> <s xml:id="echoid-s7142" xml:space="preserve">du phlegme pour-<lb/>ry dans les veines.</s> <s xml:id="echoid-s7143" xml:space="preserve"/> </p> <pb o="126" file="00509" n="508" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s7144" xml:space="preserve">Le phlegme contre nature eſt celuy <lb/>qui eſt aigre, ou ſalé dans les veines, le-<lb/>quel eſtant hors des veines, eſt ſubtil, <lb/>ou viſqueux, ou vitreux, ou gypſeux.</s> <s xml:id="echoid-s7145" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7146" xml:space="preserve">La cholere qui ſ’engendre és veines <lb/>ſappelle vitelline, & </s> <s xml:id="echoid-s7147" xml:space="preserve">dans le ventricule <lb/>porracée: </s> <s xml:id="echoid-s7148" xml:space="preserve">l’érugineuſe eſt de couleur de <lb/>paſtel, & </s> <s xml:id="echoid-s7149" xml:space="preserve">eſt appellée iſatodes: </s> <s xml:id="echoid-s7150" xml:space="preserve">il y en a <lb/>encore vn autre qui eſt rouge. </s> <s xml:id="echoid-s7151" xml:space="preserve">Cecy <lb/>eſtant poſé, voyons la perfection des <lb/>humeurs alimentaires qui font la maſſe <lb/>du ſang, qui eſt compoſée de quatre <lb/>parties, comme nous monſtre le laict <lb/>compoſé de quatre ſubſtances, à ſça-<lb/>uoir du beurre, qui retient deux ſub-<lb/>ftãces qui répõdent à la bile & </s> <s xml:id="echoid-s7152" xml:space="preserve">au ſang; <lb/></s> <s xml:id="echoid-s7153" xml:space="preserve">du ſromage, & </s> <s xml:id="echoid-s7154" xml:space="preserve">du petit laict: </s> <s xml:id="echoid-s7155" xml:space="preserve">& </s> <s xml:id="echoid-s7156" xml:space="preserve">l’exem-<lb/>ple du vin rapporté par Galien, car la <lb/>fleur repreſente la cholere, qui eſt la <lb/>plus ſubtile des humeurs, & </s> <s xml:id="echoid-s7157" xml:space="preserve">qui paroiſt <lb/>touſiours au deſſus de couleur d’or, & </s> <s xml:id="echoid-s7158" xml:space="preserve"><lb/>luiſante.</s> <s xml:id="echoid-s7159" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7160" xml:space="preserve">La lie repreſente l’humeur melãcho-<lb/>lique, qui eſt touſiours au deſſous, à <lb/>cauſe de ſa peſanteur, car elle eſt la lie <lb/>du ſang. </s> <s xml:id="echoid-s7161" xml:space="preserve">La verdeur, ou aquoſité du vin <lb/>eſt ſemblable au phlegme: </s> <s xml:id="echoid-s7162" xml:space="preserve">& </s> <s xml:id="echoid-s7163" xml:space="preserve">la pure li-<lb/>queur du vin repreſente le ſang: </s> <s xml:id="echoid-s7164" xml:space="preserve">par où <pb o="127" file="00510" n="509" rhead="Preludes de l’Harmonie."/> il eſt aiſé d’entendre la diſtinction des <lb/>humeurs, qui conſiſte dans leur cou-<lb/>leur, ſaueur, vſage & </s> <s xml:id="echoid-s7165" xml:space="preserve">autres ſemblables <lb/>proprietez. </s> <s xml:id="echoid-s7166" xml:space="preserve">Or leur proportion peut <lb/>eſtre connuë par la ſaueur, qui eſt dou-<lb/>ce au sãg, amere à la bile, fade au phleg-<lb/>me, & </s> <s xml:id="echoid-s7167" xml:space="preserve">aigre & </s> <s xml:id="echoid-s7168" xml:space="preserve">picquãte dans l’humeur <lb/>melancholique: </s> <s xml:id="echoid-s7169" xml:space="preserve">Car l’experience fait <lb/>voir que ſi ſur vne chopine, ou ſur vne <lb/>liure de quelque liqueur douce, l’õ ad-<lb/>iouſte huict onces de liqueur fade, qua-<lb/>tre de liqueur aigre, & </s> <s xml:id="echoid-s7170" xml:space="preserve">vne d’amere, & </s> <s xml:id="echoid-s7171" xml:space="preserve"><lb/>qu’on faſſe boüillir le tout auec vn feu <lb/>moderé correſpondant ànoſtre chaleur <lb/>naturelle, douce, & </s> <s xml:id="echoid-s7172" xml:space="preserve">benigné, & </s> <s xml:id="echoid-s7173" xml:space="preserve">plu-<lb/>ſtoſt ſemblable à l’elixation, qu’à l’aſ-<lb/>ſation, qu’il ſe fera vne liqueur douce <lb/>de ces liqueurs meſlées enſemble; </s> <s xml:id="echoid-s7174" xml:space="preserve">par <lb/>conſequent il ſe doit trouuer vne telle <lb/>proportion dans la maſſe du ſang com-<lb/>poſée de doux, d’inſipide ou fade, & </s> <s xml:id="echoid-s7175" xml:space="preserve"><lb/>d’amer ou d’aigre.</s> <s xml:id="echoid-s7176" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7177" xml:space="preserve">Cecy eſtant poſé, toutes les Conſo-<lb/>nances des Pythagoriciens, qui ſe trou-<lb/>uent dans le nombre quaternaire, ſerĕ-<lb/>contrent auſſi dans le temperament <lb/>d’vn parfait Muſicien, car la double <lb/>Octaue eſt d’vn à quatre, la Douzieſme <pb o="128" file="00511" n="510" rhead="Preludes de l’Harmonie."/> d’vn à trois, & </s> <s xml:id="echoid-s7178" xml:space="preserve">l’Octaue d’vn à deux, la <lb/>Quinte de deux à trois, & </s> <s xml:id="echoid-s7179" xml:space="preserve">la Quarte de <lb/>trois à quatre, de maniere que ce tem-<lb/>perament eſt Harmonique.</s> <s xml:id="echoid-s7180" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7181" xml:space="preserve">Or ceux qui trouuent que le tempe-<lb/>rament ſanguin eſt le plus excellent & </s> <s xml:id="echoid-s7182" xml:space="preserve"><lb/>le pl<emph style="sub">9</emph> propre pour faire de beaux chãts, <lb/>ſoit que les chanſons doiuent eſtre ſan-<lb/>guines & </s> <s xml:id="echoid-s7183" xml:space="preserve">jouiales, ou bilieuſes & </s> <s xml:id="echoid-s7184" xml:space="preserve">cho-<lb/>leriques, ou melancholiques, triſtes & </s> <s xml:id="echoid-s7185" xml:space="preserve"><lb/>phlegmatiques, diſent que le tempera-<lb/>ment ſanguin eſt fait d’vne égale tem-<lb/>perature des quatre humeurs ſur leſ-<lb/>quelles le ſang domine; </s> <s xml:id="echoid-s7186" xml:space="preserve">de maniere que <lb/>celuy qui aura ce temperament, ſera <lb/>comme neutre & </s> <s xml:id="echoid-s7187" xml:space="preserve">ſurnageant, & </s> <s xml:id="echoid-s7188" xml:space="preserve">conſe-<lb/>quemment capable de faire de beaux <lb/>chants ſur toutes ſortes de ſuiets: </s> <s xml:id="echoid-s7189" xml:space="preserve">Mais <lb/>le bilieux ſe plaiſt à vne Muſique bruſ-<lb/>que, ſoudaine & </s> <s xml:id="echoid-s7190" xml:space="preserve">aiguë, le melancholi-<lb/>que à la graue & </s> <s xml:id="echoid-s7191" xml:space="preserve">à la triſte; </s> <s xml:id="echoid-s7192" xml:space="preserve">ce qu’on re-<lb/>marque à la Muſique du Caurroy, qui <lb/>eſtoit d’vn temperament melancholi-<lb/>que. </s> <s xml:id="echoid-s7193" xml:space="preserve">Ie ſçay qu’il y a des Muſiciens qui <lb/>font & </s> <s xml:id="echoid-s7194" xml:space="preserve">qui chantent toutes ſortes de <lb/>chanſons, bien qu’ils ne ſoient pas ſan-<lb/>guins: </s> <s xml:id="echoid-s7195" xml:space="preserve">Mais on peut dire qu’ils ont cet-<lb/>te perfection, & </s> <s xml:id="echoid-s7196" xml:space="preserve">ceſte inclination de <pb o="129" file="00512" n="511" rhead="Preludes de l’Harmonie."/> leurs anceſtres qui ſe fait ſouuent voir <lb/>à la troiſieſme & </s> <s xml:id="echoid-s7197" xml:space="preserve">quatrieſme generatiõ, <lb/>ou que les influences des Cieux ont cõ-<lb/>tribué à ceſte generation, & </s> <s xml:id="echoid-s7198" xml:space="preserve">qu’elles fõt <lb/>d’excellens Muſiciens, Poëtes, Ora-<lb/>teurs, Iuriſconſultes, & </s> <s xml:id="echoid-s7199" xml:space="preserve">c. </s> <s xml:id="echoid-s7200" xml:space="preserve">de toutes ſor-<lb/>tes de temperamens. </s> <s xml:id="echoid-s7201" xml:space="preserve">Nous pouuons <lb/>neantmoins rapporter ceſte grande dif-<lb/>ference d’eſprits au principe metaphy-<lb/>ſique de l’indiuiduation, dont nous ne <lb/>ſçauons point d’autre raiſon, ou d’autre <lb/>cauſe efficiente que la volõté de Dieu. <lb/></s> <s xml:id="echoid-s7202" xml:space="preserve">Mais ſi nous nous tenons dans les bor-<lb/>nes & </s> <s xml:id="echoid-s7203" xml:space="preserve">dans les regles des temperamĕs, <lb/>nous pouuons dire que chaque Muſi-<lb/>que a ſa perfection; </s> <s xml:id="echoid-s7204" xml:space="preserve">par exemple, que <lb/>la bilieuſe a la ſienne, ſans faire com-<lb/>paraiſon des vnes aux autres; </s> <s xml:id="echoid-s7205" xml:space="preserve">car tel eſt <lb/>rauy par vn chant melancholique, qui <lb/>ne ſe plaiſt point aux chants gays, & </s> <s xml:id="echoid-s7206" xml:space="preserve"><lb/>ioyeux.</s> <s xml:id="echoid-s7207" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7208" xml:space="preserve">L’on peut auſſi partler du tempera-<lb/>ment d’vn Muſicien, ſuiuant les prin-<lb/>cipes de l’Alchymie (encore que ie ne <lb/>veuille pas icy diſputer de la verité de <lb/>ſes principes) car le ſel répond à la ter-<lb/>re, & </s> <s xml:id="echoid-s7209" xml:space="preserve">à la melancholie: </s> <s xml:id="echoid-s7210" xml:space="preserve">c’eſt pourquoy <lb/>l’Aſne eſtant melancholique au qua- <pb o="130" file="00513" n="512" rhead="Preludes de l’Harmonie."/> trieſme degré, a plus de ſel, de froid, & </s> <s xml:id="echoid-s7211" xml:space="preserve"><lb/>de ſec, qu’il n’a des autres principes; <lb/></s> <s xml:id="echoid-s7212" xml:space="preserve">Au cõtraire le Lion eſt bilieux au meſ-<lb/>me degré: </s> <s xml:id="echoid-s7213" xml:space="preserve">car il a plus de feu & </s> <s xml:id="echoid-s7214" xml:space="preserve">de ſoul-<lb/>phre: </s> <s xml:id="echoid-s7215" xml:space="preserve">le Loir eſtant d’vn temperament <lb/>humide, & </s> <s xml:id="echoid-s7216" xml:space="preserve">froid, a plus d’eau & </s> <s xml:id="echoid-s7217" xml:space="preserve">de mer-<lb/>cure, & </s> <s xml:id="echoid-s7218" xml:space="preserve">la Perdrix eſtant ſanguine, a <lb/>vn temperament chaud & </s> <s xml:id="echoid-s7219" xml:space="preserve">humide, <lb/>dautant qu’elle a plus d’air, & </s> <s xml:id="echoid-s7220" xml:space="preserve">de ſoul-<lb/>phre.</s> <s xml:id="echoid-s7221" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7222" xml:space="preserve">Mais pour parler des hommes à pro-<lb/>portion, il faut remarquer que comme <lb/>il ya quatre ſortes d’humeurs & </s> <s xml:id="echoid-s7223" xml:space="preserve">de tĕ-<lb/>peramens dans les hommes, que cha-<lb/>que temperament peut eſtre encore di-<lb/>uiſé en trois degrez: </s> <s xml:id="echoid-s7224" xml:space="preserve">par exemple le bi-<lb/>lieux peut auoir vn, deux, ou trois de-<lb/>grez de bile, dont l’vn tient plus de la <lb/>nature du feu en ſon excez: </s> <s xml:id="echoid-s7225" xml:space="preserve">le ſecond <lb/>en ſa mediocrité, & </s> <s xml:id="echoid-s7226" xml:space="preserve">le troiſieſme en ſa <lb/>remiſſion, ou en ſon affoibliſſement, le-<lb/>quel aproche du temperamĕt ſanguin, <lb/>comme le troiſieſme degré du ſanguin <lb/>eſt proche du premier degré du phleg-<lb/>matique, & </s> <s xml:id="echoid-s7227" xml:space="preserve">le troiſieſme du phlegma-<lb/>tique eſt quaſi le premier du melãcho-<lb/>lique.</s> <s xml:id="echoid-s7228" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7229" xml:space="preserve">Cecy eſtant poſé, nous pouuons dire <pb o="131" file="00514" n="513" rhead="Preludes de l’Harmonie."/> que le temperamĕt le plus propre pour <lb/>la Muſique eſt le ſulphureux temperé <lb/>de parties égales de Mercure, & </s> <s xml:id="echoid-s7230" xml:space="preserve">de Sel, <lb/>pourueu que le ſoulphre ſoit en plus <lb/>grande quantité, ou du moins qu’il ayt <lb/>vne plus grande vertu, afin que le tem-<lb/>perament de celuy qui doit auoir vne <lb/>tres-excellente voix, ſoit analogue, & </s> <s xml:id="echoid-s7231" xml:space="preserve"><lb/>proportionné aux chordes des inſtru-<lb/>mĕs qui ſonnent mieux, & </s> <s xml:id="echoid-s7232" xml:space="preserve">dont on vſe <lb/>ſouuĕt, à ſçauoir aux chordes de letõ, & </s> <s xml:id="echoid-s7233" xml:space="preserve"><lb/>d’acier: </s> <s xml:id="echoid-s7234" xml:space="preserve">c’eſt pourquoy les trompettes <lb/>ſont d’airain, afin de rendre vn ſon plus <lb/>clair, plus éclattant, & </s> <s xml:id="echoid-s7235" xml:space="preserve">plus agreable. <lb/></s> <s xml:id="echoid-s7236" xml:space="preserve">Quant au Mercure, & </s> <s xml:id="echoid-s7237" xml:space="preserve">au phlegme, il <lb/>rend la voix caſſe, ſourde & </s> <s xml:id="echoid-s7238" xml:space="preserve">foible, cõ-<lb/>me l’on void en ceux qui ne viuent que <lb/>de poiſſon, lequel eſt froid, & </s> <s xml:id="echoid-s7239" xml:space="preserve">humide: </s> <s xml:id="echoid-s7240" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s7241" xml:space="preserve">le ſel, ou la terre la rend trop ſeiche, <lb/>& </s> <s xml:id="echoid-s7242" xml:space="preserve">trop rude, comme il arriue aux la-<lb/>boureux, & </s> <s xml:id="echoid-s7243" xml:space="preserve">aux autres ouuriers qui ſe <lb/>nourriſſent d’aliments fort groſſiers. </s> <s xml:id="echoid-s7244" xml:space="preserve"><lb/>Voila vne bonne partie de ce que l’on <lb/>peut dire du temperament du Muſi-<lb/>cien, par les principes de la Medeci-<lb/>ne, & </s> <s xml:id="echoid-s7245" xml:space="preserve">de l’Alchymie: </s> <s xml:id="echoid-s7246" xml:space="preserve">mais l’experiĕ-<lb/>ce nous faiſant voir d’excellents Muſi-<lb/>ciens de toutes ſortes de temperamĕts, <pb o="132" file="00515" n="514" rhead="Preludes de l’Harmonie."/> ic ne croy pas que toutes ces raiſons <lb/>preuuent autre choſe que la foibleſſe, <lb/>& </s> <s xml:id="echoid-s7247" xml:space="preserve">les tenebres de l’eſprit humain.</s> <s xml:id="echoid-s7248" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7249" xml:space="preserve">Les Aſtrologues ſe promettent de <lb/>pouuoir trouuer ce temperament en <lb/>eſtabliſſant le theme, ou la poſition du <lb/>Ciel, ſouz laquelle doit naiſtre le Mu-<lb/>ſicien pour eſtre parfait en ſon art: </s> <s xml:id="echoid-s7250" xml:space="preserve">mais <lb/>nous auons monſtré cy-deuant qu’ils <lb/>ſe trompent, auſſi bien que les Phyſio-<lb/>nomes, & </s> <s xml:id="echoid-s7251" xml:space="preserve">les Chiromanciens, qui di-<lb/>ſent que ce Muſicien auroit vne certai-<lb/>ne configuration de viſage, & </s> <s xml:id="echoid-s7252" xml:space="preserve">certaines <lb/>lignes dans les mains, qui ſignifiroient <lb/>ſa perfection en l’art de Muſique.</s> <s xml:id="echoid-s7253" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7254" xml:space="preserve">Neantmoins i’ay voulu rapporter ce <lb/>que l’on peut dire ſur ce ſuiet, afin que <lb/>l’on voye iuſques où ſe porte l’imagina-<lb/>tion des hommes, & </s> <s xml:id="echoid-s7255" xml:space="preserve">que l’on recõnoiſ-<lb/>ſe le menſonge, & </s> <s xml:id="echoid-s7256" xml:space="preserve">l’erreur.</s> <s xml:id="echoid-s7257" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div194" type="section" level="1" n="158"> <head xml:id="echoid-head256" xml:space="preserve">COROLLAIRE I.</head> <p> <s xml:id="echoid-s7258" xml:space="preserve">L’on peut adiouſter 4. </s> <s xml:id="echoid-s7259" xml:space="preserve">auttes hu-<lb/>meurs, dont parle Auicenne, aux pre-<lb/>cedentes, à ſçauoir celle qui n’a point <lb/>de nom, laquelle n’eſt autre choſe que <lb/>le ſang, qui ſ’approche de la partie du <pb o="133" file="00516" n="515" rhead="Preludes de l’Harmonie."/> corps, qui doit eſtre nourrie. </s> <s xml:id="echoid-s7260" xml:space="preserve">La 2. </s> <s xml:id="echoid-s7261" xml:space="preserve">eſt <lb/>appellée roſee, qui n’eſt autre choſe quo <lb/>la precedent<unsure/>, qui ſort des veines ca-<lb/>pillaires pour arr oſer ladite partie; </s> <s xml:id="echoid-s7262" xml:space="preserve">& </s> <s xml:id="echoid-s7263" xml:space="preserve"><lb/>lors que cette roſee commence à ſ’atta-<lb/>cher à la partie, qui ſe nourrit, elle eſt <lb/>nommé©e glus, ou colle; </s> <s xml:id="echoid-s7264" xml:space="preserve">& </s> <s xml:id="echoid-s7265" xml:space="preserve">finalement <lb/>elle ſ’appelle cambium, quand elle ſe <lb/>change en la partie: </s> <s xml:id="echoid-s7266" xml:space="preserve">de ſorte que les <lb/>Mede@ins appellent ces 4. </s> <s xml:id="echoid-s7267" xml:space="preserve">humeurs, <lb/>innominatus, ros, gluten & </s> <s xml:id="echoid-s7268" xml:space="preserve">cambium, qui <lb/>ſuiuent les 4. </s> <s xml:id="echoid-s7269" xml:space="preserve">premieres, dont ſe fait la <lb/>maſſe du ſang.</s> <s xml:id="echoid-s7270" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7271" xml:space="preserve">Or ils tiennent que toutes les eſpeces <lb/>de fiéure hectiques s’attachent à ces 4. <lb/></s> <s xml:id="echoid-s7272" xml:space="preserve">dernieres humeurs, & </s> <s xml:id="echoid-s7273" xml:space="preserve">que la 4. </s> <s xml:id="echoid-s7274" xml:space="preserve">eſpece, <lb/>qu’ils appellent maraſmel, cõſomme en-<lb/>tierement la chaleur naturelle, & </s> <s xml:id="echoid-s7275" xml:space="preserve">l’hu-<lb/>mide radical, qui ſe rencontre particu-<lb/>lierement dãs la derniere de ces 4. </s> <s xml:id="echoid-s7276" xml:space="preserve">ſe-<lb/>condes humeurs.</s> <s xml:id="echoid-s7277" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7278" xml:space="preserve">Quant aux 4. </s> <s xml:id="echoid-s7279" xml:space="preserve">premieres, il eſt euidĕt <lb/>que chacune a ſa fiéure particuliere, <lb/>qui eſt cõtinue ſans relaſche, lors qu’el-<lb/>le eſt dans le ſang, comme elle eſt quo-<lb/>tidienne dans le phlegme, tierce dans <lb/>la bile, & </s> <s xml:id="echoid-s7280" xml:space="preserve">quarte dans la melancholie. <lb/></s> <s xml:id="echoid-s7281" xml:space="preserve">Ie laiſſe vne infinité de differentes fié- <pb o="134" file="00517" n="516" rhead="Preludes de l’Harmonìe."/> ures, qui ſont engendrées par le mélan-<lb/>gé de ces 4. </s> <s xml:id="echoid-s7282" xml:space="preserve">humeurs, & </s> <s xml:id="echoid-s7283" xml:space="preserve">tout ce que <lb/>l’on peut dire de l’idioſyncraſie des Mu-<lb/>ſiciens, parce que ie ne voy pas que par <lb/>cette voye l’on puiſſe determiner aucu-<lb/>ne chòſe du temperament qu’ils doi-<lb/>uent auoir pour eſtre parfaits en leur <lb/>art, qui dépend le plus ſouuent de l’é-<lb/>ducation, de la longue habitude, & </s> <s xml:id="echoid-s7284" xml:space="preserve">du <lb/>grand trauail. </s> <s xml:id="echoid-s7285" xml:space="preserve">Neantmoins l’on peut <lb/>lite ce qui eſt dit de cette idioſyncraſie, <lb/>dans la 559. </s> <s xml:id="echoid-s7286" xml:space="preserve">page des Commĕtaires ſur <lb/>le texte de la Geneſe.</s> <s xml:id="echoid-s7287" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div195" type="section" level="1" n="159"> <head xml:id="echoid-head257" xml:space="preserve">COROLLAIRE. II.</head> <p> <s xml:id="echoid-s7288" xml:space="preserve">Il eſt treſ-ayſé de conclurre de tout <lb/>le diſcours precedent, que le tempera-<lb/>ment, & </s> <s xml:id="echoid-s7289" xml:space="preserve">les humeurs ne dominent pas <lb/>tellement à la raiſon, qu’elle ne demeu-<lb/>re dans ſa liberté, & </s> <s xml:id="echoid-s7290" xml:space="preserve">qu’elle n’en puiſſe <lb/>ſurmonter les vices, & </s> <s xml:id="echoid-s7291" xml:space="preserve">les imperfectiõs, <lb/>car il eſt auſſi ayſé de corriger le tempe-<lb/>rament, ou l’inclination, qui porte au <lb/>larrecin, ou à quelqu’autre mauuaiſe <lb/>action, comme il eſt ayſé au Muſicien <lb/>melancholique de compoſer des chãts, <lb/>& </s> <s xml:id="echoid-s7292" xml:space="preserve">des airs gays; </s> <s xml:id="echoid-s7293" xml:space="preserve">ce qu’il fait par les re- <pb o="135" file="00518" n="517" rhead="Preludes de l’Harmonie."/> gles de l’art, qui arment la raiſon con-<lb/>tre le ſens, & </s> <s xml:id="echoid-s7294" xml:space="preserve">l’eſprit contre le tempe-<lb/>rament. </s> <s xml:id="echoid-s7295" xml:space="preserve">Or l’art de bien viure a des <lb/>regles qui ſont du moins auſſi bien eſta-<lb/>blies que celles des compoſitions de <lb/>Muſique, & </s> <s xml:id="echoid-s7296" xml:space="preserve">qui donnent vne ſi grande <lb/>lumiere à la raiſon, qu’èlle peut ſurmõ-<lb/>ter toutes les mauuaiſes habitudes des <lb/>humeurs, dautant que les regles dont <lb/>elle vſe, viennent de Dieu, qui adjouſte <lb/>la force de ſa grace, & </s> <s xml:id="echoid-s7297" xml:space="preserve">de ſon aſſiſtance <lb/>à la clarté de fes loix; </s> <s xml:id="echoid-s7298" xml:space="preserve">dont on peut ex-<lb/>pliquer ce verſet du Pſalme 4. </s> <s xml:id="echoid-s7299" xml:space="preserve">Signatum <lb/>eſt ſuper nos lumen vultus tui domine, dedi-<lb/>ſti lætitiam in corde mea.</s> <s xml:id="echoid-s7300" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div196" type="section" level="1" n="160"> <head xml:id="echoid-head258" xml:space="preserve">QVESTION V.</head> <head xml:id="echoid-head259" style="it" xml:space="preserve">Quelle deit eſtre la capacité, & la ſcience <lb/>d’vn parfaict Muſicien.</head> <p> <s xml:id="echoid-s7301" xml:space="preserve">LE s ſciences ont iuré entr’elles vne <lb/>inuiolable ſocieté, il eſt quaſi im-<lb/>poilible de les ſeparer, car elles ſouf-<lb/>frent pluftoſt que l’on les déchire; </s> <s xml:id="echoid-s7302" xml:space="preserve">& </s> <s xml:id="echoid-s7303" xml:space="preserve">ſi <lb/>quelqu’vn s’y opiniaſtre, ſon trauail ne <lb/>luy en arrache que des lambeaux im- <pb o="136" file="00519" n="518" rhead="Preludes de l’Harmonie."/> parfaicts & </s> <s xml:id="echoid-s7304" xml:space="preserve">confus. </s> <s xml:id="echoid-s7305" xml:space="preserve">Elles ne viennent <lb/>pourtant pas toutes enſemble, mais el-<lb/>les ſe tiennent tellement par la main, <lb/>qu’elles ſe ſuiuent d’vn ordre naturel <lb/>qu’il eſt dangereux de changer, parce <lb/>qu’elles refuſent d’entrer autremĕt où <lb/>elles ſont appellees. </s> <s xml:id="echoid-s7306" xml:space="preserve">Et l’experiĕce fait <lb/>voir que quand on en veut retenir vne <lb/>par force, qu’elle demeure touſiours <lb/>tournée du coſté des autres, & </s> <s xml:id="echoid-s7307" xml:space="preserve">qu’elle <lb/>les appelle au ſecours, en mépriſant tel-<lb/>lement celuy qui luy fait violĕce, qu’el-<lb/>le ne daigne pas ſeulement luy donner <lb/>vne œillade agreable. </s> <s xml:id="echoid-s7308" xml:space="preserve">De là vient que <lb/>pluſieurs ſe ſont tourmentcz en vain, <lb/>qui ne ſçachans à qui s’en prendre, ſe <lb/>ſont accuſez eux meſmes, pluſtoſt que <lb/>le deſordre qui les a reduits aux termes <lb/>de n’auoir iamais peu obtenir les bon-<lb/>nes graces de Minerue. </s> <s xml:id="echoid-s7309" xml:space="preserve">Neantmoins il <lb/>n’eſt pas neceſſaire de les affectionner <lb/>toutes égallement, car peu de gens y <lb/>reüſſiſſent, d’autant que la vie des hom <lb/>mes eſt trop courte pour vne telle en-<lb/>treptiſe; </s> <s xml:id="echoid-s7310" xml:space="preserve">de là vient que la pluſpatt de <lb/>ceux qui s’y ſont engagez, ne les ont <lb/>quaſi peu reconnoiſtre, tant s’en faut <lb/>qu’ils ayent eu loiſir de penetrer leurs <pb o="137" file="00520" n="519" rhead="Preludes de l’Harmonie."/> myſteres, & </s> <s xml:id="echoid-s7311" xml:space="preserve">les ſecrets de leur plus ſou-<lb/>ueraine beauté. </s> <s xml:id="echoid-s7312" xml:space="preserve">Ce qui a fait iuger aux <lb/>plus aduiſez, qu’il eſtoit plus à propos <lb/>d’en choiſir vne particuliere ſelon ſon <lb/>inclination, en faueur de laquelle l’on <lb/>peuſt inuiter toutes les autres, comme <lb/>compagnes inſeparables.</s> <s xml:id="echoid-s7313" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7314" xml:space="preserve">Et veritablement il ſeroit à deſirer <lb/>que chacun en vſaſt de la ſorte, c’eſt à <lb/>dire qu’apres les teintures vniuerſelles <lb/>des ſciences, l’on s’appliquaſt à la partie <lb/>que l’on affectionne le plus. </s> <s xml:id="echoid-s7315" xml:space="preserve">Il y a lõg-<lb/>temps que la Philoſophie ſeroit en vn <lb/>degré bien haut, ſi nos deuanciers, & </s> <s xml:id="echoid-s7316" xml:space="preserve"><lb/>nos peres euſſent mis cecy en pratique; <lb/></s> <s xml:id="echoid-s7317" xml:space="preserve">& </s> <s xml:id="echoid-s7318" xml:space="preserve">nous ne perdrions pas le temps aux <lb/>premieres difficultez, qui ſe preſentent <lb/>maintenãt auſſirigoureuſes qu’auxpre-<lb/>miers ſiecles qui les ont remarquées. </s> <s xml:id="echoid-s7319" xml:space="preserve"><lb/>Nous aurions l’experience des Pheno-<lb/>menes aſſeurez, qui ſeruiroient de prin-<lb/>cipes à vn ſolide raiſonnement: </s> <s xml:id="echoid-s7320" xml:space="preserve">la ve-<lb/>rité ne ſeroit pas ſi piofondémĕt abyſ-<lb/>mée; </s> <s xml:id="echoid-s7321" xml:space="preserve">la nature auroit quitté la pluſpare <lb/>de ſes enuelopes, l’on verroit les mer-<lb/>ueilles qu’elle cõtient dans tous ſes in-<lb/>diuidus: </s> <s xml:id="echoid-s7322" xml:space="preserve">la lumiere ſeroit auſſi claire à <lb/>l’entĕdement, qu’aux yeux: </s> <s xml:id="echoid-s7323" xml:space="preserve">les o deurs, <pb o="138" file="00521" n="520" rhead="Preludes de l’Harmonie."/> odeurs, les ſaueurs, & </s> <s xml:id="echoid-s7324" xml:space="preserve">toutes les quali-<lb/>tez ſenſibles ſeroient auſſi familieres à <lb/>l’eſprit, qu’aux puiſſances qui en ſont <lb/>capables: </s> <s xml:id="echoid-s7325" xml:space="preserve">& </s> <s xml:id="echoid-s7326" xml:space="preserve">nous aurions vn comman-<lb/>demĕt ſi abſolu ſur les ſens, & </s> <s xml:id="echoid-s7327" xml:space="preserve">ſur l’har-<lb/>monie, qu’ils ſeroient flexibles à toutes <lb/>nos penſées.</s> <s xml:id="echoid-s7328" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7329" xml:space="preserve">Or ie ne ſuis pas le premier Autheur <lb/>de ces plaintes, il y a long-temps qu’el-<lb/>les ſe font oüir, & </s> <s xml:id="echoid-s7330" xml:space="preserve">qu’elles reſonnent <lb/>dans la bouche de tout le monde, quoy <lb/>que perſonne n’y remedie, car encore <lb/>que l’on en reconnoiſſe bien la faute, <lb/>nul ne la veut reparer: </s> <s xml:id="echoid-s7331" xml:space="preserve">& </s> <s xml:id="echoid-s7332" xml:space="preserve">l’entendemĕt <lb/>de l’homme preuenu du deſir, & </s> <s xml:id="echoid-s7333" xml:space="preserve">de l’ã-<lb/>bitiõ de tout ſçauoir, ſe deſtourne d’vn <lb/>attachement particulier pour écumer <lb/>le general auſſi viſte que les autres, dau-<lb/>tant que l’vnique appas de ſon eſtude <lb/>eſt l’eclat, qu’il ne trouue pas dans la re-<lb/>cherche des principes, qu’il iuge diffi-<lb/>cile, & </s> <s xml:id="echoid-s7334" xml:space="preserve">trop vetillarde: </s> <s xml:id="echoid-s7335" xml:space="preserve">Et bien qu’ils <lb/>ſoient la retraitte de la verité, la deſ-<lb/>cente en eſt trop ſcabreuſe: </s> <s xml:id="echoid-s7336" xml:space="preserve">la pluſpart <lb/>des hommes ſont bien aiſes de trouuer <lb/>œuure faite, mais peu ſ y veulent appli-<lb/>quer, & </s> <s xml:id="echoid-s7337" xml:space="preserve">pluſieurs croyent que cette re-<lb/>cherche eſt inutile, ou ridicule: </s> <s xml:id="echoid-s7338" xml:space="preserve">auſſ@ <pb o="139" file="00522" n="521" rhead="Preludes de l’Harmonie."/> toute l’antiquité en a-elle à peine trois <lb/>ou quatre, qui n’ayent eu ces conſide-<lb/>rations, & </s> <s xml:id="echoid-s7339" xml:space="preserve">qui n’ayĕt méprisé ces plain-<lb/>tes. </s> <s xml:id="echoid-s7340" xml:space="preserve">Pour moy ie ne veux pas les faire <lb/>en vain, c’eſt pourquoy ie me joints <lb/>volontiers au moindre nombre que i’e-<lb/>ſtime le meilleur, & </s> <s xml:id="echoid-s7341" xml:space="preserve">le plus vtile: </s> <s xml:id="echoid-s7342" xml:space="preserve">ceux <lb/>qui ne manqueront pas tout à fait de <lb/>raiſon, iugeront ſi i’en ay eu, & </s> <s xml:id="echoid-s7343" xml:space="preserve">ſi mes <lb/>ſpeculatiõs ont adiouſté quelque cho-<lb/>ſe à la perfection de la Muſique, que <lb/>i’ay particulierement embraſſée, enco-<lb/>re que ie l’aye rencontrée fort impar-<lb/>faicte. </s> <s xml:id="echoid-s7344" xml:space="preserve">Sí quelqu’vn a la meſme affe-<lb/>ction, il en pourra tirer plus de profit <lb/>que moy: </s> <s xml:id="echoid-s7345" xml:space="preserve">car il la trouuera dãs vn meil-<lb/>leur ordre, & </s> <s xml:id="echoid-s7346" xml:space="preserve">auec plus de grace, pour-<lb/>ueu qu’il la conſidere dans l’idee que <lb/>i’en trace icy groſſieremĕt, laquelle luy <lb/>apprendra les choſes qui ſont neceſſai-<lb/>res à cette ſcience, que nos peres ont re-<lb/>ueree, comme diuine. </s> <s xml:id="echoid-s7347" xml:space="preserve">De là viĕt qu’ils <lb/>ont accuſé de ſacrilege ce ux qui la pro-<lb/>fanoient: </s> <s xml:id="echoid-s7348" xml:space="preserve">il y reconnoiſtra ſes ornemĕs <lb/>& </s> <s xml:id="echoid-s7349" xml:space="preserve">ſa beauté, laquelle empeſchera de-<lb/>ſormais qu’elle ſoit mépriſée: </s> <s xml:id="echoid-s7350" xml:space="preserve">il ſçaura <lb/>les lieux d’où elle les emprunte, & </s> <s xml:id="echoid-s7351" xml:space="preserve">les <lb/>moyens qu’elle tient pour s’en parer, <pb o="140" file="00523" n="522" rhead="Preludes de l’Harmonie."/> afin que la poſſedant auec toutes’ſes <lb/>circonſtances, il la rende digne des <lb/>loüanges de Dieu.</s> <s xml:id="echoid-s7352" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7353" xml:space="preserve">I’entends donc par la Muſique, la <lb/>ſcience des ſons & </s> <s xml:id="echoid-s7354" xml:space="preserve">de l’harmonie, pour la-<lb/>quelle ie deſire premierement que le <lb/>Muſicien ait de l’inclination, car on ne <lb/>reüſſit guere aux choſes qui ne plaiſent <lb/>pas. </s> <s xml:id="echoid-s7355" xml:space="preserve">Il faut auſſi qu’il ait vn eſprit ſub-<lb/>til, & </s> <s xml:id="echoid-s7356" xml:space="preserve">docile, parce que les difficultez y <lb/>ſont abſtruſes, & </s> <s xml:id="echoid-s7357" xml:space="preserve">qu’il faut apprendre <lb/>de pluſieurs. </s> <s xml:id="echoid-s7358" xml:space="preserve">Il doit eſtre paſſablement <lb/>verſé aux lettres humaines, cõme ſont <lb/>la Grammaire, la Rhetorique, l’Hi-<lb/>ſtoire, & </s> <s xml:id="echoid-s7359" xml:space="preserve">la Chronologie, & </s> <s xml:id="echoid-s7360" xml:space="preserve">particu-<lb/>lierement en la Poëſie, car les vers ſont <lb/>principalement faits pour chanter: </s> <s xml:id="echoid-s7361" xml:space="preserve">la <lb/>Grammaire polit les paroles, la Rheto-<lb/>rique leur preſte ſes figures & </s> <s xml:id="echoid-s7362" xml:space="preserve">ſes mou-<lb/>uemens; </s> <s xml:id="echoid-s7363" xml:space="preserve">les fables l’enrichiſſent, & </s> <s xml:id="echoid-s7364" xml:space="preserve"><lb/>Phiſtoire leur donne de l’authorité: </s> <s xml:id="echoid-s7365" xml:space="preserve">& </s> <s xml:id="echoid-s7366" xml:space="preserve"><lb/>puis il eſt bien ſeant à vn homme d’ho-<lb/>norable profeſſion, de ſçauoir quels ont <lb/>eſté les inuenteurs de la Muſique, les <lb/>beaux effects que l’Antiquité en a ad-<lb/>mirez, & </s> <s xml:id="echoid-s7367" xml:space="preserve">la diſtinction des temps auſ-<lb/>quels ces choſes ſont auenuës, ce qu’il <lb/>apprendra de la Chronologie: </s> <s xml:id="echoid-s7368" xml:space="preserve">car ou- <pb o="141" file="00524" n="523" rhead="Preludes de l’Harmonie."/> tre que cela eſt abſoluëment neceſſaire <lb/>à tout homme qui embraſſe les lettres à <lb/>quelque deſſein que ce ſoit, elles rele-<lb/>ueront la Muſique, & </s> <s xml:id="echoid-s7369" xml:space="preserve">mettront le Mu-<lb/>ſicien d’autant plus en credit, que l’on <lb/>verra ſa ſcience mieux appuyée de tou-<lb/>tes les connoiſſances, dont les hommes <lb/>ont touſiours fait vn particulier eſtat: <lb/></s> <s xml:id="echoid-s7370" xml:space="preserve">au lieu qu’ayant eſté, comme on la void <lb/>encore à preſent, reduite à la routine <lb/>de trois ou quatre miſerables accords, <lb/>accompagnez ſouuent d’vne voix de-<lb/>ſagreable, & </s> <s xml:id="echoid-s7371" xml:space="preserve">mercenaire, elle eſtoit de-<lb/>uenuë cõme vne abiecte Meneſtriere, <lb/>n’ayant point ſouuent d’autre retraite <lb/>que parmy les choſes qui ſeruent aux <lb/>infames plaiſirs.</s> <s xml:id="echoid-s7372" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7373" xml:space="preserve">Ie deſire encore qu’il ſoit conſommé <lb/>en toutes les parties de la Philoſophie, <lb/>à ſçauoir dans la Dialectique, dans la <lb/>Phyſique, dans la Morale, & </s> <s xml:id="echoid-s7374" xml:space="preserve">dans la <lb/>Theologie, car ſans l’intelligence des <lb/>principes, des diſtinctions, & </s> <s xml:id="echoid-s7375" xml:space="preserve">des analy-<lb/>ſes, le bon raiſonnement luy manque, <lb/>ſans lequel il ne peut auoir la connoiſ-<lb/>ſance des choſes naturelles, qui luy eſt <lb/>tellement neceſſaire, que ſans elle il <lb/>n’entendra iamais la nature du ſon, veu <pb o="142" file="00525" n="524" rhead="Preludes de l’Harmonie."/> qu’il ſe tire auſſi differemment de tou-<lb/>tes ſortesde corps, qu’eux meſmes ſont <lb/>differents, comme du bois, des metaux, <lb/>des pierres, & </s> <s xml:id="echoid-s7376" xml:space="preserve">des autres matieres dont <lb/>on fait les inſtruments; </s> <s xml:id="echoid-s7377" xml:space="preserve">à quoy ſeruent <lb/>auſſi les diuers temperamĕs, & </s> <s xml:id="echoid-s7378" xml:space="preserve">les qua-<lb/>litez de l’air, & </s> <s xml:id="echoid-s7379" xml:space="preserve">des autres choſes liqui-<lb/>des, qui ſont le vehicule du ſon & </s> <s xml:id="echoid-s7380" xml:space="preserve">de la <lb/>voix. </s> <s xml:id="echoid-s7381" xml:space="preserve">D où l’on peut aiſément conclu-<lb/>re, qu’il eſt obligé à la ſpeculation de <lb/>toutes les choſes naturelles, à ſçauoir <lb/>des corps ſenſibles, & </s> <s xml:id="echoid-s7382" xml:space="preserve">des inſenſibles en <lb/>toutes leurs differences, non ſeulemĕt <lb/>ſelõ la Phyſique, mais auſſi ſelon la Me-<lb/>decine, dont il doit apprendre quelles <lb/>ſont les organes de la voix, quelles en <lb/>ſont les maladies, & </s> <s xml:id="echoid-s7383" xml:space="preserve">commeilla faut <lb/>conſeruer, & </s> <s xml:id="echoid-s7384" xml:space="preserve">la guerir.</s> <s xml:id="echoid-s7385" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7386" xml:space="preserve">Et parce que ſon principal deſſein <lb/>conſiſte à adoucir les paſſions, à rame-<lb/>ner les eſprits à la droice raiſon, & </s> <s xml:id="echoid-s7387" xml:space="preserve">à ex-<lb/>citer les affections de ſes auditeurs à la <lb/>pieté, & </s> <s xml:id="echoid-s7388" xml:space="preserve">au ſeruice diuin, comment en <lb/>viendra-il à bout ſans la Morale, & </s> <s xml:id="echoid-s7389" xml:space="preserve">ſans <lb/>la Theologie, dont la premiere luy ap-<lb/>prend les diuers mouuemens de l’eſprit <lb/>ſenſitif, & </s> <s xml:id="echoid-s7390" xml:space="preserve">du raiſonnable, & </s> <s xml:id="echoid-s7391" xml:space="preserve">l’autre luy <pb o="143" file="00526" n="525" rhead="Preludes de l’Harmonie."/> enſeigne les choſes qui ſeru ĕt à la louã-<lb/>ge de Dieu, qui par commandement <lb/>expres l’a voulu receuoir des hommes <lb/>en ceſte maniere.</s> <s xml:id="echoid-s7392" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7393" xml:space="preserve">La neceſſité qu’a la Muſique des ſup-<lb/>putations, & </s> <s xml:id="echoid-s7394" xml:space="preserve">des raiſons quila conſti-<lb/>tuent, l’attachent inſeparablement aux <lb/>Mathematiques, qui outre cela luy <lb/>fourniſſent la nature des reflexiõs pour <lb/>le redoublement des ſons, & </s> <s xml:id="echoid-s7395" xml:space="preserve">pour le re-<lb/>tentiſſement des voix, c’eſt pourquoy <lb/>elle a droit d’ordonner des baſtimens <lb/>propres aux concerts: </s> <s xml:id="echoid-s7396" xml:space="preserve">ce qui l’oblige <lb/>encore à l’Architecture, & </s> <s xml:id="echoid-s7397" xml:space="preserve">par conſe-<lb/>quent à la Pourtraicture, tant pour ce-<lb/>la, que pour deſſeigner les nouueaux <lb/>inſtrumĕs que le Muſicien peut inuen-<lb/>ter en corrigeant les vns, & </s> <s xml:id="echoid-s7398" xml:space="preserve">adiouſtant <lb/>aux autres, & </s> <s xml:id="echoid-s7399" xml:space="preserve">pour ordõner des grot-<lb/>tes, & </s> <s xml:id="echoid-s7400" xml:space="preserve">des machines hydrauliques, & </s> <s xml:id="echoid-s7401" xml:space="preserve"><lb/>pneumatiques, qu’il rendra capables de <lb/>toute ſorte d’harmonie.</s> <s xml:id="echoid-s7402" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7403" xml:space="preserve">Il eſt donc eertain que pour acquerir <lb/>la perfection de la Muſique, il n<unsure/> a rien <lb/>que l’eſprit ne doiue mettre en beſon-<lb/>gno de toutes les choſes qui ſe peuuent <lb/>ſçauoir & </s> <s xml:id="echoid-s7404" xml:space="preserve">pratiquer: </s> <s xml:id="echoid-s7405" xml:space="preserve">& </s> <s xml:id="echoid-s7406" xml:space="preserve">bien qu’il ſoit <lb/>tres-difficile que ceſte perfectiõ ſe ren- <pb o="144" file="00527" n="526" rhead="Preludes de l’Harmonie."/> contre dans vne meſme perſonne, il eſt <lb/>neantmoins à propos que l’on connoiſ-<lb/>ſe par ce deſſein, en quoy elle conſiſte, <lb/>afin que l’on taſche d’en approcher le <lb/>plus que l’on pourra; </s> <s xml:id="echoid-s7407" xml:space="preserve">& </s> <s xml:id="echoid-s7408" xml:space="preserve">que ceſte ſcien-<lb/>ce ne ſoit plus ſi mépriſée comme elle a <lb/>eſté iuſques à preſent; </s> <s xml:id="echoid-s7409" xml:space="preserve">mais qu’eſtant <lb/>couronnée de toutes les fleurs quiluy <lb/>appartiennent, elle ſoit honorée ſelon <lb/>ſa beauté, & </s> <s xml:id="echoid-s7410" xml:space="preserve">capable d’entrer chez les <lb/>Princes & </s> <s xml:id="echoid-s7411" xml:space="preserve">les Roys, & </s> <s xml:id="echoid-s7412" xml:space="preserve">finalemĕt qu’el-<lb/>le ſoit digne d’eſtre preſentée au Sou-<lb/>uerain Autheur de toutes choſes.</s> <s xml:id="echoid-s7413" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div197" type="section" level="1" n="161"> <head xml:id="echoid-head260" xml:space="preserve"><emph style="sc">Qvestion</emph> VI.</head> <head xml:id="echoid-head261" style="it" xml:space="preserve">A ſçauoir ſile ſens de l’ouye doit eſtre le iuge <lb/>de la douceur des ſons, & des concerts, <lb/>ou ſi cet office appartient à <lb/>l’entendement.</head> <p> <s xml:id="echoid-s7414" xml:space="preserve">CEtte queſtion n’a pas eſté meuë <lb/>d’aujourd’huy, elle a donné de la <lb/>peine aux plus grands hommes du mõ-<lb/>de, comme à Pythagore, Platon, Ari-<lb/>ſtoxene, Ptolomée & </s> <s xml:id="echoid-s7415" xml:space="preserve">à pluſieurs au-<lb/>tres, dont les vns ont deferé le iuge- <pb o="145" file="00528" n="527" rhead="Preludes de l’Harmonie."/> ment des ſons à la ſeule raiſon, les au-<lb/>tres aux ſens, & </s> <s xml:id="echoid-s7416" xml:space="preserve">les autres ont conioint <lb/>le ſens à la raiſon. </s> <s xml:id="echoid-s7417" xml:space="preserve">Ceux qui diſent que <lb/>le ſens de l’oüie doit eſtre le iuge de la <lb/>Muſique, ſ’appuyent ſur ce raiſonne-<lb/>ment. </s> <s xml:id="echoid-s7418" xml:space="preserve">Si l’office, diſent-ils, de iuger des <lb/>ſons appartenoit à l’ame raisõnable, ou <lb/>à la raiſon, elle iugeroit touſiours de la <lb/>meſme façon, d’vn meſme concert, & </s> <s xml:id="echoid-s7419" xml:space="preserve"><lb/>tous les hommes trouueroient les con-<lb/>certs d’vne meſme bõté, car toutes nos <lb/>ames ſont égales, n’y ay ant nulle autre <lb/>difference entre les eſprits des hom-<lb/>mes, que celle qui vient des organes, & </s> <s xml:id="echoid-s7420" xml:space="preserve"><lb/>du temperament vniuerſel de tout le <lb/>corps, & </s> <s xml:id="echoid-s7421" xml:space="preserve">du particulier, & </s> <s xml:id="echoid-s7422" xml:space="preserve">ſpecifique de <lb/>chaque partie d’iceluy. </s> <s xml:id="echoid-s7423" xml:space="preserve">Or le iugemĕt <lb/>ne dépend point des organes, car quel-<lb/>que mauuais temperament qu’on aye, <lb/>la partie de l’ame que les Grecs appel-<lb/>lent γ<unsure/>{οῦ}ς, (qui eſt à l’entendement ce <lb/>qu’eſt la ſplendeur à la lumiere, & </s> <s xml:id="echoid-s7424" xml:space="preserve">à la <lb/>ſyndereſe, ce qu’eſt le Pilote au Naui-<lb/>re) iuge touſiours équitablement, com-<lb/>me nous experimentons aux propoſi-<lb/>tions vniuerſelles de la Philoſophie na-<lb/>turelle, & </s> <s xml:id="echoid-s7425" xml:space="preserve">de la Morale, car tous leshõ-<lb/>mes du monde auoüent que le bien eſt <pb o="146" file="00529" n="528" rhead="Preludes de l’Harmonie."/> aimable; </s> <s xml:id="echoid-s7426" xml:space="preserve">qu’il faut fuyr le mal, que l’e-<lb/>ſtre vaut mieux que le non eſtre; </s> <s xml:id="echoid-s7427" xml:space="preserve">qu’il <lb/>eſt neceſſaire que Dieu ſoit tres-par-<lb/>faict; </s> <s xml:id="echoid-s7428" xml:space="preserve">que rien ne ſe peut faire ſoy-meſ-<lb/>me; </s> <s xml:id="echoid-s7429" xml:space="preserve">que ce’qui eſt limité & </s> <s xml:id="echoid-s7430" xml:space="preserve">finy, a eſté <lb/>fait; </s> <s xml:id="echoid-s7431" xml:space="preserve">que l’ordre eſt plus excellent que <lb/>le deſordre, & </s> <s xml:id="echoid-s7432" xml:space="preserve">mille autres ſemblables <lb/>propoſitions, qui ſont reconuës vniuer-<lb/>ſellement par tout le monde, ſans qu’il <lb/>ſoit neceſſaire de les apprendre. </s> <s xml:id="echoid-s7433" xml:space="preserve">Il’fau-<lb/>droit donc auſſi quand les cõcerts ſont <lb/>bons, que tous ceux qui les entendent, <lb/>les iugeaſſent bons; </s> <s xml:id="echoid-s7434" xml:space="preserve">ce qui n’arriue pas, <lb/>car ce qui plaiſt à l’vn, déplaiſt à l’autre. <lb/></s> <s xml:id="echoid-s7435" xml:space="preserve">Il y en a meſmes à qui les bruits confus <lb/>plaiſent dauantage que les conſonan-<lb/>ces, & </s> <s xml:id="echoid-s7436" xml:space="preserve">qui ayment mieux entendre le <lb/>bruit des Canons, ou le bourdonnemĕt <lb/>des mouſches, que la plus grande-dou-<lb/>ceur des meilleurs concerts. </s> <s xml:id="echoid-s7437" xml:space="preserve">De dire <lb/>que l’on doit eſtimer ces hommes. </s> <s xml:id="echoid-s7438" xml:space="preserve">là <lb/>barbares & </s> <s xml:id="echoid-s7439" xml:space="preserve">brutaux, & </s> <s xml:id="echoid-s7440" xml:space="preserve">maintenir qu’ils <lb/>n’ont pas l’eſprit bien faict, ce n’eſt pas <lb/>répondre, car nous ne ſçauons pas ſi au <lb/>contraire ils ont l’eſprit ſi excellent & </s> <s xml:id="echoid-s7441" xml:space="preserve"><lb/>ſi ſubtil, que le peu de perfection qu’il y <lb/>a dans nos concerts les bleſſe, ou ſi c’eſt <lb/>quelque particuliere perfectiõ de trou- <pb o="147" file="00530" n="529" rhead="Preludes de l’Harmonie."/> uet les diſſonances auſſi bonnes, ou <lb/>meilleures que les conſonances; </s> <s xml:id="echoid-s7442" xml:space="preserve">ſui-<lb/>uant le dire ou le prouerbe commun, <lb/>à ſçauoir, que ce qui eſt rare eſt excel-<lb/>lent; </s> <s xml:id="echoid-s7443" xml:space="preserve">il eſt donc incertain ſi on les doit <lb/>appeller monſtres d’imperfection, ou <lb/>prodiges de perfection, car on n’a point <lb/>encorc demonſtré que l’eſprit qui eſt <lb/>tellement proportionné aux diſſonan-<lb/>ces, & </s> <s xml:id="echoid-s7444" xml:space="preserve">aux ſons aſpres, & </s> <s xml:id="echoid-s7445" xml:space="preserve">rudes qu’il s’y <lb/>puiſſe plaire, ne ſoit pas ſi excellent que <lb/>celui à qui les ſons aigres, & </s> <s xml:id="echoid-s7446" xml:space="preserve">les diſcords <lb/>déplaiſent: </s> <s xml:id="echoid-s7447" xml:space="preserve">& </s> <s xml:id="echoid-s7448" xml:space="preserve">comme ce qui eſt aſpre <lb/>ſignifie ſouuent vne grande chaleur, on <lb/>pourroit dire que l’eſprit qui ſe plaiſt à <lb/>l’aſpreté & </s> <s xml:id="echoid-s7449" xml:space="preserve">à la rudeſſe des ſons, a vne <lb/>grande viuacité & </s> <s xml:id="echoid-s7450" xml:space="preserve">vne grande force. <lb/></s> <s xml:id="echoid-s7451" xml:space="preserve">Ie ponrrois confirmer l’excellence de <lb/>ces eſprits en rapportãt pour exemple, <lb/>quelques-vns de mes amis que ie ſçay <lb/>ne prendre nul plaiſir à l’harmonie vo-<lb/>cale, ou inſtrumĕtale, encore qu’ilsayĕt <lb/>bon eſprit, qu’ils ſoient d’vn bon tem-<lb/>peramĕt, & </s> <s xml:id="echoid-s7452" xml:space="preserve">plains d’vne ſi grande dou-<lb/>ceur en leurs mœurs, & </s> <s xml:id="echoid-s7453" xml:space="preserve">en leur conuer-<lb/>ſation qu’elle eſt preferable aux plus <lb/>douces harmonies.</s> <s xml:id="echoid-s7454" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7455" xml:space="preserve">D’abondaut ceux qui joüent du luth, <pb o="148" file="00531" n="530" rhead="Preludes de l’Harmonie."/> ou de la viole, nous diſent que la quin-<lb/>te qui eſt iuſte ſelon la raiſon, n’eſt pas <lb/>ſi agreable que quand elle eſt affoiblie: <lb/></s> <s xml:id="echoid-s7456" xml:space="preserve">& </s> <s xml:id="echoid-s7457" xml:space="preserve">l’orgue meſme ne ſuit pas la raiſon <lb/>de la quinte du monochorde: </s> <s xml:id="echoid-s7458" xml:space="preserve">de ſorte <lb/>qu’il faudroit que la quinte du ſens fut <lb/>moindre que celle de l’entendement; </s> <s xml:id="echoid-s7459" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s7460" xml:space="preserve">ceux quiſuiuent les raiſons, & </s> <s xml:id="echoid-s7461" xml:space="preserve">qui ſe <lb/>contĕtent de la Theorie de la Muſique, <lb/>confeſſent que la quinte du ſens & </s> <s xml:id="echoid-s7462" xml:space="preserve">des <lb/>inſtrumens eſt fort agreable, & </s> <s xml:id="echoid-s7463" xml:space="preserve">qu’elle <lb/>ne cede point à celle qui eſt preſcrite <lb/>par les nombres qui ſeruent d’idées à la <lb/>raiſon. </s> <s xml:id="echoid-s7464" xml:space="preserve">En troiſieſme lieu, les ſons ne <lb/>ſeruent pas d’object à l’eſprit, mais à <lb/>l’oreille, car la verité & </s> <s xml:id="echoid-s7465" xml:space="preserve">les choſes intel-<lb/>lectueles, & </s> <s xml:id="echoid-s7466" xml:space="preserve">vniuerſelles ſont le propre <lb/>object de l’entendement, comme les <lb/>choſes corporelles, materielles, & </s> <s xml:id="echoid-s7467" xml:space="preserve">par-<lb/>ticulieres, le ſont des ſens exterieurs, <lb/>or il appartient à chaque faculté de iu-<lb/>ger de ſon obiect, de là vient qu’on dit <lb/>que l’entendement eſt des choſes vni-<lb/>uerſelles, & </s> <s xml:id="echoid-s7468" xml:space="preserve">les ĕs des particulieres, cõ-<lb/>me ſont les interualles des ſons. </s> <s xml:id="echoid-s7469" xml:space="preserve">En ef-<lb/>fect nous experimentons en raiſonant, <lb/>que l’entendement n’a point de pro-<lb/>pres eſpeces des sõs, ny des autres cho- <pb o="149" file="00532" n="531" rhead="Preludes de l’Harmonie."/> ſes ſenſibles, ce qui fait qu’il n’en diſ-<lb/>court qu’en general, en leur appliquant <lb/>quelques idées & </s> <s xml:id="echoid-s7470" xml:space="preserve">notions vniuerſelles, <lb/>qu’il prend d’ailleurs, ou qui luy ſont <lb/>données dés le moment de ſa creation: <lb/></s> <s xml:id="echoid-s7471" xml:space="preserve">& </s> <s xml:id="echoid-s7472" xml:space="preserve">qu’apres auoir bien trauaillé à la re-<lb/>cherche de la nature, & </s> <s xml:id="echoid-s7473" xml:space="preserve">de l’eſſence des <lb/>choſes particulieres, il eſt contraint d’a-<lb/>uoüer qu’il ne ſçait rien, ou tout au plus <lb/>qu’en general & </s> <s xml:id="echoid-s7474" xml:space="preserve">confuſément, & </s> <s xml:id="echoid-s7475" xml:space="preserve">doit <lb/>touſiours recourir & </s> <s xml:id="echoid-s7476" xml:space="preserve">deſcendre à ceq@@ <lb/>luy font connoiſtre les ſens, à qui la rai-<lb/>ſon eſt redeuable de ce qu’elle com-<lb/>prend, comme elle témoigne aux mala-<lb/>dies & </s> <s xml:id="echoid-s7477" xml:space="preserve">indiſpoſitions qui arriuent aux <lb/>ſens, eſtant contrainte de rendre hom-<lb/>mage àl’oreille àl’œil, & </s> <s xml:id="echoid-s7478" xml:space="preserve">c. </s> <s xml:id="echoid-s7479" xml:space="preserve">& </s> <s xml:id="echoid-s7480" xml:space="preserve">de demeu-<lb/>rer oyſeuſe auſſi long-temps ccmme <lb/>elle eſt priuée de leur ſecours.</s> <s xml:id="echoid-s7481" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7482" xml:space="preserve">D’ailleurs nous voyons que ceux qui <lb/>ont perdu l’eſprit, ou qui n’en ont ia-<lb/>mais eu, comme les fols, & </s> <s xml:id="echoid-s7483" xml:space="preserve">les idiots, iu-<lb/>gent de la Muſique, & </s> <s xml:id="echoid-s7484" xml:space="preserve">ſe plaiſent plus <lb/>aux conſonances, qu’aux diſſonances, <lb/>& </s> <s xml:id="echoid-s7485" xml:space="preserve">neantmoins il ſemble qu’ils ne ſe ſer-<lb/>uent que des ſens, puis qu’ils n’ont ia-<lb/>mais eu l’vſage de la raiſon: </s> <s xml:id="echoid-s7486" xml:space="preserve">auſſi n’a on <lb/>peu dõner de definition aux conſonan- <pb o="150" file="00533" n="532" rhead="Preludes de l’ Harmonie."/> ces & </s> <s xml:id="echoid-s7487" xml:space="preserve">aux diſſonances, qu’en l’appre-<lb/>nant du ſens & </s> <s xml:id="echoid-s7488" xml:space="preserve">non de la raiſon, car <lb/>nous diſons que la conſonance ſe fait <lb/>de deux ſons qui ſe font en meſme tĕps <lb/>& </s> <s xml:id="echoid-s7489" xml:space="preserve">qui ſont agreables à l’oüie, & </s> <s xml:id="echoid-s7490" xml:space="preserve">que la <lb/>diſſonance ſe fait de deux autres ſons <lb/>qui ſont deſagreables à l’oreille: </s> <s xml:id="echoid-s7491" xml:space="preserve">& </s> <s xml:id="echoid-s7492" xml:space="preserve">quãd <lb/>on concederoit que le ſens exterieur de <lb/>l’oüie ne peut iuger des ſons, neant-<lb/>moins ce iugement appartiendroit à l’i-<lb/>m@gination, qui eſt auſſi bien dans les <lb/>beſtes que dans les hommes, car com-<lb/>me l’ame ſenſitiue a ſes ſentimĕs exte-<lb/>rieurs, qu’elle exerce par le moyen des <lb/>organes viſibles, auſſi a elle ſes actions <lb/>interieures, dont l’vne eſt le diſcerne-<lb/>ment, l’approbation, ou le iugemĕt des <lb/>obiects ſenſibles qui luy ſont agreables, <lb/>ou deſagreables ſelon le rapport, ou la <lb/>diſproportion qu’elle a auec eux. </s> <s xml:id="echoid-s7493" xml:space="preserve">Car <lb/>puiſque chaque eſpece d’appetit re-<lb/>quieit vne connoiſſance de meſme gĕ-<lb/>re, & </s> <s xml:id="echoid-s7494" xml:space="preserve">que les animaux ont l’appetit <lb/>ſenſitif, par lequel ils ſe plaiſent, ou ſe <lb/>faſchent de ce qui leur eſt vtile, & </s> <s xml:id="echoid-s7495" xml:space="preserve">de-<lb/>lectable, ou de ce qui leur nuit, & </s> <s xml:id="echoid-s7496" xml:space="preserve">leur <lb/>déplaiſt, il eſt neceſſaire qu’ils ayent <lb/>vne connoiſſance & </s> <s xml:id="echoid-s7497" xml:space="preserve">vne lumiere qui <pb o="151" file="00534" n="533" rhead="Preludes de l’ Harmonie."/> ſoit proportionnée à leur appetit, qui <lb/>ne peut apperceuoir ſon obiect, ny ſe <lb/>porter vers luy par amour, ou par deſir, <lb/>ou ſe reſioüir de ſa poſſeſſion, s’il n’eſt <lb/>conduit & </s> <s xml:id="echoid-s7498" xml:space="preserve">éclairé par la lumiere de l’i-<lb/>magination, dont elle a plus grand be-<lb/>ſoin que les pieds n’ont beſoin des yeux <lb/>pour marcher aſſeurément.</s> <s xml:id="echoid-s7499" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7500" xml:space="preserve">Nos Muſiciens, ou ceux qui compo-<lb/>ſent les chanſons, ou les moters, nous <lb/>confirment cette opinion, n’ayant au-<lb/>tre raiſon à alleguer pourquoy ils vſent <lb/>d’vn paſſage, d’vne cõſonance, ou d’vn <lb/>interualie pluſtoſt que d’vn autre, que <lb/>de dire qu’ils ont trouué que ces paſſa-<lb/>ges ſont agreables à l’oüye: </s> <s xml:id="echoid-s7501" xml:space="preserve">iugeans ſeu-<lb/>lement par la connoiſſance des ſens, ou <lb/>de l’imagination: </s> <s xml:id="echoid-s7502" xml:space="preserve">& </s> <s xml:id="echoid-s7503" xml:space="preserve">ſ’il ſe rencontroit <lb/>quelqu’vn à qui la tierce mineure, ou <lb/>maieure, ou la ſeconde, & </s> <s xml:id="echoid-s7504" xml:space="preserve">la ſeptieſme <lb/>fuſſent plus agreables que la quinte, ou <lb/>l’octaue, il faudroit dire, nonobſtant <lb/>quelque raiſon & </s> <s xml:id="echoid-s7505" xml:space="preserve">Theorie qu’on euſt, <lb/>que les premiers interualles ſeroiĕt des <lb/>conſonances plus agreables que les ſe-<lb/>condes en comparaiſon de celuy à qui <lb/>celles là plairoient dauantage. </s> <s xml:id="echoid-s7506" xml:space="preserve">Ce qui <lb/>arriue peut-eſtre à pluſieurs animaux, <pb o="152" file="00535" n="534" rhead="Preludes de l’ Harmonie."/> & </s> <s xml:id="echoid-s7507" xml:space="preserve">à pluſieurs hommes, dont les eſprits <lb/>ſont tellemĕt diſpoſez, qu’ils reçoiuent <lb/>plus de contentement d’eſtre meus, ou <lb/>alterez de la rĕcontre des ſons qui font <lb/>nos diſſonances, & </s> <s xml:id="echoid-s7508" xml:space="preserve">d’entendre les in-<lb/>terualles que nous iugeons incapables <lb/>d’entrer dans l’harmonie, qu’ils n’en re-<lb/>çoiuent du chatoüillement que font <lb/>nos conſonances: </s> <s xml:id="echoid-s7509" xml:space="preserve">ce qu’on a remarqué <lb/>de quelqu’vn qui preferoit le hanniſſe-<lb/>ment des cheuaux à la Muſique.</s> <s xml:id="echoid-s7510" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7511" xml:space="preserve">Que ſ’il y en auoit pluſieurs à qui la <lb/>meſme choſe arriuaſt, ſans doute nous <lb/>trouuerions des raiſons pour prouuer <lb/>que ce que nous appellons maintenant <lb/>diſſonance, deuroit eſtre appellé con-<lb/>ſonance, ce qui fait veoir que la raiſon <lb/>ſuit le iugement des ſens, & </s> <s xml:id="echoid-s7512" xml:space="preserve">qu’elle ſe <lb/>ploye comme on veut pour ſ’accomo-<lb/>der à eux, comme faiſoit la regle Leſ-<lb/>bienne à toutes ſortes de lignes, & </s> <s xml:id="echoid-s7513" xml:space="preserve">d’ou-<lb/>urages, car ſi la raiſon regloit les ſens, il <lb/>faudroit qu’elle tint ferme comme la <lb/>regle de Polyclete, & </s> <s xml:id="echoid-s7514" xml:space="preserve">que nous fiſ-<lb/>ſions touſiours le meſme iugement d’v-<lb/>ne meſme choſe, pendant qu’elle de-<lb/>meure en meſme eſtat, ce qui n’arriue <lb/>pas ſouuent.</s> <s xml:id="echoid-s7515" xml:space="preserve"/> </p> <pb o="153" file="00536" n="535" rhead="Preludes de l’ Harmonie."/> <p> <s xml:id="echoid-s7516" xml:space="preserve">Ceux au contraire qui tiennent que <lb/>l’entendement eſt le ſeul iuge, diſent <lb/>qu’en renuerſant toutes ces raiſons leur <lb/>opinion ſ’eſtablit d’elle meſme: </s> <s xml:id="echoid-s7517" xml:space="preserve">Car il <lb/>eſt bien certain qu’à celuy qui a perdu <lb/>l’vſage de la raiſon, tous les ſens ſont <lb/>inutiles pour iuger, & </s> <s xml:id="echoid-s7518" xml:space="preserve">que c’eſt ſe fein-<lb/>dre vne ſtatuë de bronze, qu’vn hõme <lb/>ſans entendement, qui le fait ſeul eſtre <lb/>homme. </s> <s xml:id="echoid-s7519" xml:space="preserve">Car de dire que les hommes <lb/>iugeroient tous de meſme façon d’vn <lb/>meſme concert, ſi le iugement depan-<lb/>doit de la raiſon, parce que nos ames <lb/>ſont égalles, & </s> <s xml:id="echoid-s7520" xml:space="preserve">que le iugement ne dé-<lb/>pend point des organes, comme l’on <lb/>experimente aux propoſitions de la <lb/>Philoſophie naturelle & </s> <s xml:id="echoid-s7521" xml:space="preserve">morale, c’cſt <lb/>argumenter ſophiſtiquement: </s> <s xml:id="echoid-s7522" xml:space="preserve">Car le <lb/>iugement pour iuger des choſesvniuer-<lb/>ſelles n’a que faire des ſens, non plus <lb/>que le Iuge pour eſtre bon Iuge n’a <lb/>que faire d’Auocats, ny de Procureurs, <lb/>car pour cela il luy ſuffit d’auoir le cha-<lb/>ractere de Iuge, & </s> <s xml:id="echoid-s7523" xml:space="preserve">la conſtante & </s> <s xml:id="echoid-s7524" xml:space="preserve">per-<lb/>petuelle volonté de rendre à vn chacun <lb/>ce qui luy appartient: </s> <s xml:id="echoid-s7525" xml:space="preserve">mais pour iuger <lb/>le diſferent d’entre Titius, & </s> <s xml:id="echoid-s7526" xml:space="preserve">Meuius, <lb/>il a beſoin d’vn Aduocat qui l’inſtruiſe <pb o="154" file="00537" n="536" rhead="Preludes de l’ Harmonie."/> de leur different, & </s> <s xml:id="echoid-s7527" xml:space="preserve">des moiens qu’ils <lb/>ont chacun pour obtenir leur intĕtion, <lb/>& </s> <s xml:id="echoid-s7528" xml:space="preserve">des Procureurs pour cõduire la cau-<lb/>ſe, & </s> <s xml:id="echoid-s7529" xml:space="preserve">propoſer lesdemãdes, & </s> <s xml:id="echoid-s7530" xml:space="preserve">les deffen-<lb/>ces ſelon les formes vſitées: </s> <s xml:id="echoid-s7531" xml:space="preserve">auſſi pour <lb/>iuger de ce concert, ou de cet autre, le <lb/>iugement a beſoin que l’on luy rappor-<lb/>te quel eſt ce concert, ou cet autre: </s> <s xml:id="echoid-s7532" xml:space="preserve">ſur <lb/>ce rapport il fait ſon iugemĕt, & </s> <s xml:id="echoid-s7533" xml:space="preserve">ce rap-<lb/>port ſe fait par le ſens parfait.</s> <s xml:id="echoid-s7534" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7535" xml:space="preserve">Quant à ceux que l’on dit qui ne ſe <lb/>plaiſent point à la Muſique, ou qui ſe <lb/>plaiſeru plus à d’autres bruits qu’aux <lb/>conſonances, cela vient de ce qu’ils <lb/>n’ont iamais donné d’accez à la Muſi-<lb/>que dans leur eſprit, ny aſſez d’attĕtion <lb/>pour la gouſter, ayant l’eſprit occupé à <lb/>d’autres penſées, & </s> <s xml:id="echoid-s7536" xml:space="preserve">remply d’autres de-<lb/>ſirs, leſquels ne laiſſent entrer dans l’a-<lb/>me aucune choſe qui n’y contribuë, cõ-<lb/>me ceux qui ſont échauffez à la guer-<lb/>re, ou ceux qui ſont acharnez au gain, <lb/>& </s> <s xml:id="echoid-s7537" xml:space="preserve">enclins à l’auarice, ou ceux qui <lb/>voient pãcher ſur eux quelque grande <lb/>perte, ou ruine, ne s’émeuuent pour <lb/>aucun ſon, ſi les vns n’entendent vn ca-<lb/>non, vn tambour, ou hãnir vn cheual, <lb/>les autres compter de l’argent, le s au- <pb o="155" file="00538" n="537" rhead="Preludes de l’ Harmonie."/> tres s’ils n’entĕdent quelque autre con-<lb/>fuſion: </s> <s xml:id="echoid-s7538" xml:space="preserve">& </s> <s xml:id="echoid-s7539" xml:space="preserve">ce qu’ils entendront contrai-<lb/>re ou nõ, qui ne contribuerapoint à leur <lb/>paſſion, ne leur touchera nullement <lb/>l’eſprit, & </s> <s xml:id="echoid-s7540" xml:space="preserve">n’en feront aucun iugement: <lb/></s> <s xml:id="echoid-s7541" xml:space="preserve">ce qui monſtre que c’eſt ſeulement la <lb/>raiſon qui iuge, puis qu’il faut pluſtoſt <lb/>que la raiſon ſoit ſaine, & </s> <s xml:id="echoid-s7542" xml:space="preserve">non malade <lb/>pour iuger, que le ſens, lequel quoy <lb/>que ſain ne peut iuger, ſi la raiſon eſt <lb/>malade: </s> <s xml:id="echoid-s7543" xml:space="preserve">la plus agreable Muſique du <lb/>ſoldat ſera donc le ſon des tambours, & </s> <s xml:id="echoid-s7544" xml:space="preserve"><lb/>des Canonades: </s> <s xml:id="echoid-s7545" xml:space="preserve">de l’auare, le ſon de l’ar-<lb/>gent, du maſſon, le bruit des marteaux: </s> <s xml:id="echoid-s7546" xml:space="preserve"><lb/>de l’Apothicaire ou parfumeur, le ſon <lb/>des mortiers de ſa boutique: </s> <s xml:id="echoid-s7547" xml:space="preserve">du meu-<lb/>nier, le claquet de ſon moulin: </s> <s xml:id="echoid-s7548" xml:space="preserve">de l’A-<lb/>uocat, la confuſion d’vn barreau: </s> <s xml:id="echoid-s7549" xml:space="preserve">du <lb/>menuiſier & </s> <s xml:id="echoid-s7550" xml:space="preserve">du charpentier, le coup de <lb/>maillet, & </s> <s xml:id="echoid-s7551" xml:space="preserve">le bruit de la ſcie, parce qu’ils <lb/>ont tous l’eſprit porté là. </s> <s xml:id="echoid-s7552" xml:space="preserve">Mais ſi quel-<lb/>quefois l’eſprit ſe met en repos, & </s> <s xml:id="echoid-s7553" xml:space="preserve">qu’il <lb/>quitte, ou qu’il remette ſes paſſions à <lb/>vn autre temps, ſi la Muſique ſe pre-<lb/>ſente, il la laiſſe entrer doucement, & </s> <s xml:id="echoid-s7554" xml:space="preserve"><lb/>s’en trouue touché inſenſiblemĕt. </s> <s xml:id="echoid-s7555" xml:space="preserve">L’ĕ-<lb/>pire de la raiſon eſt ſi grand ſur les ſens, <lb/>qu’elle les rebutte quand il luy plaiſt, <pb o="156" file="00539" n="538" rhead="Preludes de l’ Harmonie."/> & </s> <s xml:id="echoid-s7556" xml:space="preserve">leur empéche d’apperceuoir ce qu’ils <lb/>ſentiroiĕt. </s> <s xml:id="echoid-s7557" xml:space="preserve">Ce que cõſiderãt quelques-<lb/>vns ils l’õt eſtimée vne diuinité racour-<lb/>cie, & </s> <s xml:id="echoid-s7558" xml:space="preserve">vn ray@@ de la raiſon Archetype, <lb/>qui fait dans le corps humain ce que <lb/>Dieu fait dans le monde, ce qui eſt ve-<lb/>ritable en quelque façon, car elle porte <lb/>l’image de la Diuinité, & </s> <s xml:id="echoid-s7559" xml:space="preserve">commande <lb/>au corps comme à vn petit mõde, mais <lb/>il y a en effect des differĕces auſſi gran-<lb/>des comme du finy à l’infiny.</s> <s xml:id="echoid-s7560" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7561" xml:space="preserve">Il faut done confeſſer que la raiſon <lb/>eſt neceſſaire pour iuger de la nature, & </s> <s xml:id="echoid-s7562" xml:space="preserve"><lb/>de la difference des ſons, comme Pto-<lb/>lomée a prouué dans le premier cha-<lb/>pitre de ſonpremier liure de la Muſique <lb/>contre les diſciples d’Ariſtoxene qui <lb/>donnoient trop au ſens, bien qu’il leur <lb/>faill@ accorder quelque choſe en ce ſu-<lb/>iet, afin qu’ils agiſſent coniointement <lb/>aucc la raiſon, comme il monſtre auſſi <lb/>contre l’aduis des diſciples de Pyta-<lb/>gore.</s> <s xml:id="echoid-s7563" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7564" xml:space="preserve">Or il eſt ſi veritable que la raiſon eſt <lb/>neceſſaire pour iuger des sõs, que nous <lb/>ne pouuons connoiſtre ſans ſon ayde, <lb/>ſi ce que nous oyons doit eſtre appellé <lb/>ſon, ou concert: </s> <s xml:id="echoid-s7565" xml:space="preserve">car les animaux, à qui <pb o="157" file="00540" n="539" rhead="Preludes de l’ Harmonie."/> nous ſerions ſemblables, & </s> <s xml:id="echoid-s7566" xml:space="preserve">qui nous ſe-<lb/>roient égaux, ſi nous n’auions la raiſon, <lb/>ne font point de reflexion ſur les actiõs, <lb/>ou les paſſions de leurs ſens exterieurs, <lb/>ou intetieurs, & </s> <s xml:id="echoid-s7567" xml:space="preserve">ne ſçauent ce que c’eſt <lb/>que couleur, odeur, ou ſon, ny s’il y a <lb/>quelque difference entre ces obiects, <lb/>auſquels ils ſont pluſtoſt emportez, <lb/>qu’ils ne s’y portĕt eux-meſmes; </s> <s xml:id="echoid-s7568" xml:space="preserve">ce qui <lb/>ſe fait par la force de l’impreſſion que <lb/>les obiects differents font ſur leurs or-<lb/>ganes, & </s> <s xml:id="echoid-s7569" xml:space="preserve">ſur leurs ſens, car ils ne peu-<lb/>uent diſcerner ſ’il eſt plus à propos d’al-<lb/>ler boire, ou manger, que d’aller faire <lb/>autre choſe, & </s> <s xml:id="echoid-s7570" xml:space="preserve">ne boiuent, ne mãgent, <lb/>ny ne font autre choſe, que quand la <lb/>preſence des obiets, ou l’imagination <lb/>brutalle les neceſſite, & </s> <s xml:id="echoid-s7571" xml:space="preserve">les tranſporte <lb/>à leurs obiets, ſans qu’ils puiſſent reſi-<lb/>ſter à telles impreſſions, & </s> <s xml:id="echoid-s7572" xml:space="preserve">ſans qu’ils <lb/>connoiſſent @@ qu’ils font, ſoit bien, ou <lb/>mal, ce qui nous arriueroit comme à <lb/>cux, ſi nous eſtiõs deſtituez de la raiſon, <lb/>car ils n’ontde lumiere que ce qu’il leur <lb/>en faut pour prendre leur nourriture, & </s> <s xml:id="echoid-s7573" xml:space="preserve"><lb/>pour nous ſeruir aux vſages auſquels <lb/>Dieu les a deſtinez.</s> <s xml:id="echoid-s7574" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7575" xml:space="preserve">Il faut donc conclurre nonobſtant les <pb o="158" file="00541" n="540" rhead="Preludes de l’ Harmonie."/> raiſons precedentes qui combattent en <lb/>faueur des ſens, que la raiſon & </s> <s xml:id="echoid-s7576" xml:space="preserve">l’oüie <lb/>ſont neceſſaires pour iuger de l’harmo-<lb/>nie, & </s> <s xml:id="echoid-s7577" xml:space="preserve">du different des ſons; </s> <s xml:id="echoid-s7578" xml:space="preserve">ce qui ſe <lb/>fait neantmoins auec telle condition, <lb/>que l’oüie reçoit toutes les affectiõs des <lb/>ſons, le iugement deſquels eſt reſerué à <lb/>la raiſon, de qui elle tient la iuſteſſe des <lb/>conſonances, des interualles, & </s> <s xml:id="echoid-s7579" xml:space="preserve">c. </s> <s xml:id="echoid-s7580" xml:space="preserve">mais <lb/>la raiſon emprunte de l’oüie ce qu’elle <lb/>auoit reçeu deuãt, & </s> <s xml:id="echoid-s7581" xml:space="preserve">ſe cõtente d’apro-<lb/>cher de la verité des interualles, & </s> <s xml:id="echoid-s7582" xml:space="preserve">des <lb/>termes du graue, de l’aigu & </s> <s xml:id="echoid-s7583" xml:space="preserve">des autres <lb/>proprietez & </s> <s xml:id="echoid-s7584" xml:space="preserve">differences des ſons par <lb/>l’ĕtremiſe de l’oreille, afin detrouuer en <lb/>ſuite les vrais interualles, & </s> <s xml:id="echoid-s7585" xml:space="preserve">les ex actes <lb/>differences des ſons par la force du rai-<lb/>ſonnement, & </s> <s xml:id="echoid-s7586" xml:space="preserve">par les differentes com-<lb/>paraiſou@ qu’elle fait des vns auec les <lb/>autres.</s> <s xml:id="echoid-s7587" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7588" xml:space="preserve">En effect, c’eſt la raiſon qui recher-<lb/>che les cauſes du mouuemĕt & </s> <s xml:id="echoid-s7589" xml:space="preserve">du ſon: <lb/></s> <s xml:id="echoid-s7590" xml:space="preserve">le ſens n’en reçoit que l’impreſſion, dõt <lb/>la raiſon doit iuger, puis qu’elle en con-<lb/>ſidere les cauſes & </s> <s xml:id="echoid-s7591" xml:space="preserve">la nature, & </s> <s xml:id="echoid-s7592" xml:space="preserve">qu’elle <lb/>eſt ſimple, & </s> <s xml:id="echoid-s7593" xml:space="preserve">vniuerſelle, n’épouſant <lb/>que laverité, quelque part qu’elle la rĕ-<lb/>contre: </s> <s xml:id="echoid-s7594" xml:space="preserve">mais les ſens ſont ſuiets à toute <pb o="159" file="00542" n="541" rhead="Preludes de l’ Harmonie."/> ſorte d’alterations, & </s> <s xml:id="echoid-s7595" xml:space="preserve">de changemens, <lb/>& </s> <s xml:id="echoid-s7596" xml:space="preserve">ſe trompent facilement à cauſe du <lb/>mouuemĕt & </s> <s xml:id="echoid-s7597" xml:space="preserve">du flus perpetuel de leur <lb/>matiere, s’ils ne ſont conduits & </s> <s xml:id="echoid-s7598" xml:space="preserve">main-<lb/>tenus dans l’ordre par la raiſon. </s> <s xml:id="echoid-s7599" xml:space="preserve">De là <lb/>vient que comme l’œil prend le cercle <lb/>qu’on fait par hazard ſans compas, pour <lb/>vn cercle parfait, quand il approche de <lb/>la perfection, iuſques à ce que la raiſon <lb/>en faſſe vn parfait, qui fait paroiſtre le <lb/>défaut & </s> <s xml:id="echoid-s7600" xml:space="preserve">l’imperfection du premier, <lb/>que l’oüie croit ſemblablement que les <lb/>interualles conſonants, ou diſſonants <lb/>ſont pai<unsure/>faits, quand ils approchent de la <lb/>perfection, mais elle eſt contrainte de <lb/>confeſſer leur imperfection, quand la <lb/>raiſon donne les parfaits, car il eſt plus <lb/>facile de iuger de cette perfection que <lb/>de la trouuer, comme il eſt plus facile <lb/>de iuger d’vn combat, que de combat-<lb/>tre, ou de la courſe, que de courir, & </s> <s xml:id="echoid-s7601" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s7602" xml:space="preserve">Or encore que les ſons sĕblent iuger de <lb/>la veritable difference des choſes qui <lb/>leur ſeruent d’obiect, & </s> <s xml:id="echoid-s7603" xml:space="preserve">qu’ils ne ſe trõ-<lb/>pent pas de beaucoup, quand ils conſi-<lb/>derent de cõbien les parties ſe ſurmon-<lb/>tent lors qu’elles ſont grandes & </s> <s xml:id="echoid-s7604" xml:space="preserve">en pe-<lb/>tit nombre, neantmoins ils ſe trõpent, <pb o="160" file="00543" n="542" rhead="Preludes de l’ Harmonie."/> & </s> <s xml:id="echoid-s7605" xml:space="preserve">la raiſon ne ſe doit iamais fier à eux, <lb/>puis qu’elle recõnoiſt l’erreur toûjours <lb/>plus grande, quand les parties ſont plus <lb/>petites & </s> <s xml:id="echoid-s7606" xml:space="preserve">en plus grand nombre: </s> <s xml:id="echoid-s7607" xml:space="preserve">car <lb/>plus elles ſont petites, moins elles ſont <lb/>remar quables: </s> <s xml:id="echoid-s7608" xml:space="preserve">par exemple, quand on <lb/>propoſe vne ligne droite, le ſens iuge <lb/>ſi vne autre eſt plus lõgue ou plus cour-<lb/>te, en les comparant, & </s> <s xml:id="echoid-s7609" xml:space="preserve">les appliquant <lb/>l’vne à l’autre, ou en les diuisãt en deux <lb/>parties égales, ou en les doublant & </s> <s xml:id="echoid-s7610" xml:space="preserve">fai-<lb/>ſant ſeulement vne comparaiſon pour <lb/>cet effect; </s> <s xml:id="echoid-s7611" xml:space="preserve">que s’il la faut tripler ou di-<lb/>uiſer en trois, il eſt plus difficile, d’au-<lb/>tãt qu’il faut faire deux comparaiſons, <lb/>de ſorte que les differences ſont dautãt <lb/>plus difficiles à eſtre remarquées que <lb/>les diuiſions, & </s> <s xml:id="echoid-s7612" xml:space="preserve">les partics ſont en <lb/>plus grand nombre, particulierement <lb/>quand il faut contĕpler les parties vne <lb/>à vne, comme il arriue à la proportion <lb/>ſeptuple, ou au nombre diuiſè en ſept, <lb/>qui n’a point de moitié, à cauſe qu’il eſt <lb/>impair, & </s> <s xml:id="echoid-s7613" xml:space="preserve">qu’il ne contient nulles par-<lb/>ties qui nous en rendent la connoiſſan-<lb/>ce plus aiſée, comme ſont les parties du <lb/>nombre 8, dont nous trouuons faci-<lb/>lement la moitié, & </s> <s xml:id="echoid-s7614" xml:space="preserve">puis la moitié de <pb o="161" file="00544" n="543" rhead="Preludes de l’ Harmonie."/> la moitié, de ſorte que nous n’auons <lb/>que faire de conſiderer la huictieſme <lb/>partie, ou la raiſon octuple, mais ſeule-<lb/>ment les moitiez de pluſieurs nombres <lb/>inegaux, à ſçauoir les moitiez de 8. </s> <s xml:id="echoid-s7615" xml:space="preserve">de <lb/>4. </s> <s xml:id="echoid-s7616" xml:space="preserve">& </s> <s xml:id="echoid-s7617" xml:space="preserve">de 2. </s> <s xml:id="echoid-s7618" xml:space="preserve">qui nous menent iuſques à <lb/>l’vnité: </s> <s xml:id="echoid-s7619" xml:space="preserve">mais c’eſt touſiours la raiſon <lb/>qui iuge, car ſi c’eſtoit le ſens exterieur <lb/>il faudroit qu’il iugeaſt ou deuant que <lb/>d’auoir ſenty, ou en ſentant, ou apres <lb/>auoir ſenty: </s> <s xml:id="echoid-s7620" xml:space="preserve">de iuger auparauant, il eſt <lb/>impoſſible, car de ijs quæ non ſunt, & </s> <s xml:id="echoid-s7621" xml:space="preserve">non <lb/>apparent idem iudicium. </s> <s xml:id="echoid-s7622" xml:space="preserve">De iuger en ſen-<lb/>tant, il eſt impoſſible, car tout iuge-<lb/>ment ſe doit faire par reflexion, & </s> <s xml:id="echoid-s7623" xml:space="preserve">la <lb/>reflexion preſuppoſe vn ordre de tĕps, <lb/>il faudroit donc qu’il iugeaſt apres, or <lb/>ſurquoy iugeroit-il apres, veu qu’il n’a <lb/>rien de preſent, & </s> <s xml:id="echoid-s7624" xml:space="preserve">qu’il manque de me-<lb/>moire & </s> <s xml:id="echoid-s7625" xml:space="preserve">d’imagination. </s> <s xml:id="echoid-s7626" xml:space="preserve">Ce n’eſt donc <lb/>pas le ſens exterieur qui iuge, ny l’inte-<lb/>rieur, que l’on appelle ſens commun, <lb/>pource que les meſmes inconueniens <lb/>luy arriueroient qu’au ſens exterieur, <lb/>il s’enſuit donc que c’eſt la raiſon ſeule <lb/>qui iuge. </s> <s xml:id="echoid-s7627" xml:space="preserve">Or ſi l’on applique à l’ouie ce <lb/>qui a eſté dit des nombres & </s> <s xml:id="echoid-s7628" xml:space="preserve">de la veuë, <lb/>qui diſcerne facilem ent quand vne li- <pb o="162" file="00545" n="544" rhead="Preludes de l’ Harmonie."/> gne eſt double, ou ſouz double d’vne <lb/>autre ligne, il faut conclurre que com-<lb/>me la veuë, ou la raiſon iugeant des <lb/>choſes viſibles, a beſoin d’vne regle <lb/>pour iuger ſi vne ligne eſt parfaitement <lb/>droite, & </s> <s xml:id="echoid-s7629" xml:space="preserve">d’vn compas pour iuger exa-<lb/>ctement du cercle, & </s> <s xml:id="echoid-s7630" xml:space="preserve">de ſes parties, que <lb/>l’oüie a beſoin de certain@s regles pour <lb/>eſtablir les parfaites differĕces des ſons, <lb/>leurs interualles, & </s> <s xml:id="echoid-s7631" xml:space="preserve">tout ce qui leur ap-<lb/>partient, car l’oüie n’eſt pas plus ſubtile, <lb/>ny plus habile que la veue, qui ſur paſſe <lb/>tous les autres ſens par la promptitude <lb/>& </s> <s xml:id="echoid-s7632" xml:space="preserve">l’excellence de ſon action.</s> <s xml:id="echoid-s7633" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7634" xml:space="preserve">Laregle, dont ſe ſert la raiſon pour <lb/>dreſſer les ſons, & </s> <s xml:id="echoid-s7635" xml:space="preserve">pour trouuer exacte-<lb/>ment les interualles & </s> <s xml:id="echoid-s7636" xml:space="preserve">leur difference, <lb/>ſe doit appeller Regle, ou Canon harmo-<lb/>nique, car ceſt l’office du Muſicien de <lb/>conſeruer ou de trouuer les raiſons de <lb/>ladite regle, qui s’accordĕt aucc l’oüie, <lb/>ſuiuant le ſentiment de la plus grande <lb/>partie des hommes; </s> <s xml:id="echoid-s7637" xml:space="preserve">comme celuy de <lb/>l’Aſtronome eſt de conſeruer, ou d’e-<lb/>ſtablir les hypotheſes des mouuemens <lb/>celeſtes, apres auoir obſerué tous les <lb/>Phenomenes qui paroiſſent ordinaire-<lb/>ment.</s> <s xml:id="echoid-s7638" xml:space="preserve"/> </p> <pb o="163" file="00546" n="545" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s7639" xml:space="preserve">Car il appartient aux hommes ſça-<lb/>uans qui employent leur vie, & </s> <s xml:id="echoid-s7640" xml:space="preserve">leur <lb/>cſtude à la contemplation, de monſtrer <lb/>que les œuures de la nature ſont bi@n <lb/>ordonnées, & </s> <s xml:id="echoid-s7641" xml:space="preserve">qu’il n’y a rien qui ſoit <lb/>confus, ou qui ſe faſſe par hazard, par <lb/>ticulierement dans ce qui concerne la <lb/>veuë & </s> <s xml:id="echoid-s7642" xml:space="preserve">l’oüie, qui approchent plus de <lb/>la raiſon, que les autres ſens & </s> <s xml:id="echoid-s7643" xml:space="preserve">qui nous <lb/>ſeruent pour apprendre les ſciences, & </s> <s xml:id="echoid-s7644" xml:space="preserve"><lb/>pour loüer, contempler & </s> <s xml:id="echoid-s7645" xml:space="preserve">admirer les <lb/>œuures de Dieu, & </s> <s xml:id="echoid-s7646" xml:space="preserve">l’excellence, & </s> <s xml:id="echoid-s7647" xml:space="preserve">la <lb/>grandeur de l’ouurier.</s> <s xml:id="echoid-s7648" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7649" xml:space="preserve">Quant aux autres obiections qui ſe <lb/>font en faueur de l’oreille, ou des autres <lb/>ſens, elles font ſeulemĕt voir que l’oüie <lb/>eſt neceſſaire pour la Muſique, dautãt <lb/>qu’il faut que les ſons aillent à l’eſprit <lb/>par ſon moien: </s> <s xml:id="echoid-s7650" xml:space="preserve">mais ſi toſt qu’il les a cõ-<lb/>nus, il les regle, & </s> <s xml:id="echoid-s7651" xml:space="preserve">rejette ceux qui <lb/>ſont contre la raiſon, & </s> <s xml:id="echoid-s7652" xml:space="preserve">qui l’offenſent, <lb/>& </s> <s xml:id="echoid-s7653" xml:space="preserve">admet ceux qui ſont ſuiuant la rai-<lb/>ſon harmonique, & </s> <s xml:id="echoid-s7654" xml:space="preserve">en fait vn art, & </s> <s xml:id="echoid-s7655" xml:space="preserve">ne <lb/>ſe contentant pas de cela, il cherche les <lb/>cauſes pour leſquelles certains inter-<lb/>ualles luy ſont conuenables, c’eſt à dire <lb/>plus agreables que les autres; </s> <s xml:id="echoid-s7656" xml:space="preserve">ce qu’il <lb/>fait ſi parfaitement, qu’il ſe neceſſite <pb o="164" file="00547" n="546" rhead="Preludes de l’Harmonie."/> luy-meſme d’auoüer que ſon diſcours <lb/>eſt veritable: </s> <s xml:id="echoid-s7657" xml:space="preserve">comme lors qu’il dit, que <lb/>ce qui eſt plus ſimple, & </s> <s xml:id="echoid-s7658" xml:space="preserve">mieux ordon-<lb/>né eſt plus facile à comprendre que ce <lb/>qui eſt compoſé & </s> <s xml:id="echoid-s7659" xml:space="preserve">confus; </s> <s xml:id="echoid-s7660" xml:space="preserve">de là vient <lb/>qu’il eſt plus facile de diuiſer vne ligne <lb/>en deux parties égales qu’en trois, ou <lb/>en cinq, & </s> <s xml:id="echoid-s7661" xml:space="preserve">c. </s> <s xml:id="echoid-s7662" xml:space="preserve">dautant que deux eſt plus <lb/>ſimple que trois, & </s> <s xml:id="echoid-s7663" xml:space="preserve">c. </s> <s xml:id="echoid-s7664" xml:space="preserve">& </s> <s xml:id="echoid-s7665" xml:space="preserve">que l’on com-<lb/>prend mieux la figure d’vn quarré, que <lb/>d’vn heptagone, & </s> <s xml:id="echoid-s7666" xml:space="preserve">que, pour ne ſortir <lb/>de noſtre ſuiet, vn chant ſimple fait ſeu-<lb/>lement de trois ou quatre tons, ſe com-<lb/>prend mieux, qu’vn plus diuerſifié. </s> <s xml:id="echoid-s7667" xml:space="preserve">Ie <lb/>ſçay neantmoins que l’eſprit eſt quel-<lb/>quefois plus content lors qu’il contem-<lb/>ple quelque choſe de plus difficile, cõ-<lb/>me l’heptagone, que quand il conſide-<lb/>re le triangle, ou quelqu’autre figure <lb/>plus ſimple, & </s> <s xml:id="echoid-s7668" xml:space="preserve">plus facile, donti’expli-<lb/>que la raiſon dans vn autre lieu.</s> <s xml:id="echoid-s7669" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7670" xml:space="preserve">Il faudroit maintenant répondre à <lb/>chaque objection que i’ay faite pour <lb/>prouuer que les ſens doiuent eſtre les <lb/>iuges de leurs obiects, mais chacun le <lb/>peut faite, car il ſuffit d’auoir répondu <lb/>en general.</s> <s xml:id="echoid-s7671" xml:space="preserve"/> </p> <pb o="165" file="00548" n="547" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div198" type="section" level="1" n="162"> <head xml:id="echoid-head262" xml:space="preserve"><emph style="sc">Qvestion</emph> VII.</head> <head xml:id="echoid-head263" style="it" xml:space="preserve">A ſçauoir s’il eſt expedient d’vſer du genre <lb/>Chromatic, & de l’Enharmonic, ou ſi l’on <lb/>doit ſe content@r du Diatonic; & <lb/>ſi l’on peut reduire œs trois genres <lb/>en Pratique.</head> <p> <s xml:id="echoid-s7672" xml:space="preserve"><emph style="bf">C</emph>Eux qui n’ayment pas la nouueau-<lb/>té, & </s> <s xml:id="echoid-s7673" xml:space="preserve">qui meſurent toutes choſes <lb/>à leur capacité, & </s> <s xml:id="echoid-s7674" xml:space="preserve">à l’experience, tien-<lb/>nĕt qu’il n’eſt pas poſſible, ou du moins <lb/>qu’il n’eſt pas expedient de chanter En-<lb/>harmoniquement, puiſque l’vſage eſt <lb/>contraire, & </s> <s xml:id="echoid-s7675" xml:space="preserve">que tous les ſiecles ont <lb/>fait voir que le genre Diatonic eſt ſuf-<lb/>fiſant pour chãter tout ce que l’on veut. <lb/></s> <s xml:id="echoid-s7676" xml:space="preserve">Et ſi Timothée, qui eſtoit le plus ſça-<lb/>uant Muſicien de ſon temps, fut banny <lb/>de ſon pays pour auoir adiouſté vne <lb/>nouuelle corde aux inſtrumens, ils <lb/>peuuent dire que ceux là doiuent eſtre <lb/>bannis plus loing, qui veulent intro-<lb/>duire le genre Enharmonique, puis que <lb/>cela ne ſe peut faire ſans introduire l’v-<lb/>ſage de pluſieurs cordes, qui ne ſ<gap/> <pb o="166" file="00549" n="548" rhead="Preludes de l’Harmonie."/> point ſur les inſtrumens, & </s> <s xml:id="echoid-s7677" xml:space="preserve">dont les <lb/>voix n’vſent pas.</s> <s xml:id="echoid-s7678" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7679" xml:space="preserve">Car ſi la doctrine de Socrate eſt veri-<lb/>table, la tranquillité des Republiques, <lb/>& </s> <s xml:id="echoid-s7680" xml:space="preserve">la paix, & </s> <s xml:id="echoid-s7681" xml:space="preserve">la guerre dependent tello-<lb/>ment des cordes, ou des ſons de la Mu-<lb/>ſique, que les loix ſ alterent au change-<lb/>ment des cordes, & </s> <s xml:id="echoid-s7682" xml:space="preserve">des tons, dont les <lb/>vns conſeruent la temperance, & </s> <s xml:id="echoid-s7683" xml:space="preserve">les <lb/>bonnes mœurs, & </s> <s xml:id="echoid-s7684" xml:space="preserve">les autres introdui-<lb/>ſent le vice, le luxe, & </s> <s xml:id="echoid-s7685" xml:space="preserve">les déreglemĕs, <lb/>qui font à la fin dechoir, & </s> <s xml:id="echoid-s7686" xml:space="preserve">perir les Re-<lb/>publiques.</s> <s xml:id="echoid-s7687" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7688" xml:space="preserve">Mais la meilleure raiſon ſe prend de <lb/>la nature, qui ne donne pas les degrez <lb/>de la Chromatique, ou de l’Enharino-<lb/>nique, comme ceux de la Diatonique. <lb/></s> <s xml:id="echoid-s7689" xml:space="preserve">Car la trompette ne fair pas le ſemiton <lb/>mineur, nv la dieſe Enharmonique, <lb/>comme elle fait les tons & </s> <s xml:id="echoid-s7690" xml:space="preserve">le ſemiton <lb/>majeur; </s> <s xml:id="echoid-s7691" xml:space="preserve">& </s> <s xml:id="echoid-s7692" xml:space="preserve">les degrez de ces 2. </s> <s xml:id="echoid-s7693" xml:space="preserve">genres <lb/>ne viennent pas de la difference des <lb/>Conſonances, comme font les degrez <lb/>Diatoniques, qui ſeruent à paſſer d’v-<lb/>ne conſonance à l’autre; </s> <s xml:id="echoid-s7694" xml:space="preserve">ce qui prouue <lb/>que ces ſeuls degrez ſuiuent l’intention <lb/>de la nature, qui approuue les ſeuls de-<lb/><gap/>z, qui ſeruent pour paſſer aux con- <pb o="167" file="00550" n="549" rhead="Preludes de l’Harmonie."/> ſonances, & </s> <s xml:id="echoid-s7695" xml:space="preserve">particulierement à l’vniſ-<lb/>ſon, comme à la plus grande perfection <lb/>de la Muſique.</s> <s xml:id="echoid-s7696" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7697" xml:space="preserve">D’ailleurs, puis que la Muſique eſt <lb/>vn ieu d’eſprit, & </s> <s xml:id="echoid-s7698" xml:space="preserve">qu’elle a eſté inuen-<lb/>tée pour la recreation, & </s> <s xml:id="echoid-s7699" xml:space="preserve">pour preparer <lb/>l’ame à de plus hautes penſées, & </s> <s xml:id="echoid-s7700" xml:space="preserve">à des <lb/>ſpeculations plus ſerieuſes, elle ne doit <lb/>pas eſtre ſi difficile qu’elle donne trop <lb/>de peine & </s> <s xml:id="echoid-s7701" xml:space="preserve">de trauail aux auditeurs au-<lb/>trement elle les rendroit ineptes aux <lb/>exercices plus difficiles, & </s> <s xml:id="echoid-s7702" xml:space="preserve">plus releuez, <lb/>qui doiuent ſuiure immediatement <lb/>apres; </s> <s xml:id="echoid-s7703" xml:space="preserve">or le degré Enharmonique ne <lb/>peut eſtre compris ſans vne grãde con-<lb/>tention d’eſprit, dautant qu’il conſiſte <lb/>dans la comparaiſon de 125 à 128. </s> <s xml:id="echoid-s7704" xml:space="preserve">qui <lb/>eſt ſurtripartiſſante cent vingt cinq, & </s> <s xml:id="echoid-s7705" xml:space="preserve"><lb/>conſequemment fort difficile à conce-<lb/>uoir.</s> <s xml:id="echoid-s7706" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7707" xml:space="preserve">Et ſi l’on veut trauailler vtilement, il <lb/>vaut beaucoup mieux employer le tĕps <lb/>à la @echerche des choſes qui peuuent <lb/>ſeruir au bien du public, ou des parti-<lb/>culiers, qu’aux degrés Enharmoniques, <lb/>qui ſont inutiles, & </s> <s xml:id="echoid-s7708" xml:space="preserve">qui ſeroient peut-<lb/>eſtre, cauſe que pour 7. </s> <s xml:id="echoid-s7709" xml:space="preserve">ou 8. </s> <s xml:id="echoid-s7710" xml:space="preserve">heures que <lb/>les Chantres, & </s> <s xml:id="echoid-s7711" xml:space="preserve">les ioüeurs d’inſtrumõ@ <pb o="168" file="00551" n="550" rhead="Preludes de l’Harmonie."/> employent tous les jours à chanter la <lb/>Muſique, ils en perdroient pour le <lb/>moins deux fois autant.</s> <s xml:id="echoid-s7712" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7713" xml:space="preserve">Et puis ces petits degrez Chromati-<lb/>que, & </s> <s xml:id="echoid-s7714" xml:space="preserve">Enharmoniques ſont ſi char-<lb/>mans, & </s> <s xml:id="echoid-s7715" xml:space="preserve">ſi laſcifs qu’ils enerueroient <lb/>le courage des auditeurs, comme l’on <lb/>peut iuger par les ſemitons majeur@, qui <lb/>approchent de leur delicateſſe, & </s> <s xml:id="echoid-s7716" xml:space="preserve">de <lb/>leur moleſſe, & </s> <s xml:id="echoid-s7717" xml:space="preserve">par le trop frequent <lb/>vſage de la Muſique, qui rend les hom-<lb/>mes laſches, & </s> <s xml:id="echoid-s7718" xml:space="preserve">effeminez; </s> <s xml:id="echoid-s7719" xml:space="preserve">de là vient <lb/>qu’il ſuffit de dire qu’vn homme eſt <lb/>Muſicien pour le decrediter, l’experiĕ-<lb/>ce ayant monſtré que cette ſorte d’e-<lb/>xercice rend quaſi l’homme inutile, & </s> <s xml:id="echoid-s7720" xml:space="preserve"><lb/>in epte à toute ſo@te de vertu.</s> <s xml:id="echoid-s7721" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7722" xml:space="preserve">Il faut neantmo@ns conclurre qu’il eſt <lb/>expedient, & </s> <s xml:id="echoid-s7723" xml:space="preserve">neceſſaire d’vſer de ces 3. <lb/></s> <s xml:id="echoid-s7724" xml:space="preserve">genres, pour chanter inſtemĕt, & </s> <s xml:id="echoid-s7725" xml:space="preserve">pour <lb/>tiouuer tous les degrez Diatoniques <lb/>tant conſonans, que diſſonans, com-<lb/>me il ſera facile de conclurre, apres <lb/>auoir conſideré les tables, qui contien-<lb/>nent tous les degrez de ces 3. </s> <s xml:id="echoid-s7726" xml:space="preserve">genres, & </s> <s xml:id="echoid-s7727" xml:space="preserve"><lb/>leur vſage.</s> <s xml:id="echoid-s7728" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7729" xml:space="preserve">Or ceux qui reiettent le genre Chro-<lb/>matic, & </s> <s xml:id="echoid-s7730" xml:space="preserve">l’Enharmo@@c, ne los enten- <pb o="169" file="00552" n="551" rhead="Preludes de l’Harmonie."/> dent pas, car tous les demitons qui ſe <lb/>font hors du propre lieu, où ſe rencon-<lb/>tre le demiton majeur Diatonique de <lb/>MI à FA, appartiennent au gĕre Chro-<lb/>matique. </s> <s xml:id="echoid-s7731" xml:space="preserve">Quant aux degrez Enhar-<lb/>moniques, l’explication deſdites tables <lb/>fait voir qu’ils ſont neceſſaires pour <lb/>trouuer les conſonauces iuſtes en plu-<lb/>ſieurs endroits de la main, ou de l’éche-<lb/>le de Muſique, & </s> <s xml:id="echoid-s7732" xml:space="preserve">du clauier des Or-<lb/>gues, & </s> <s xml:id="echoid-s7733" xml:space="preserve">des Epinettes.</s> <s xml:id="echoid-s7734" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7735" xml:space="preserve">Car encore que le temperament <lb/>des Orgues, & </s> <s xml:id="echoid-s7736" xml:space="preserve">des autres inſtruments <lb/>approche ſi pres de la iuſteſſe des ac-<lb/>cords, qu’il ne bleſſe pas l’oreille, qui <lb/>ſouffre ayſémĕt les quintes diminuées, <lb/>& </s> <s xml:id="echoid-s7737" xml:space="preserve">les quartes augmentées des inſtru-<lb/>mens, l’on n’en reçoit pourtant pas tant <lb/>de contentemĕt que ſi tous les accords <lb/>eſtoient parfaits.</s> <s xml:id="echoid-s7738" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7739" xml:space="preserve">Et quand il n’y auroit point d’autre <lb/>contentement que celuy de l’eſprit, qui <lb/>contemple la raiſon des conſonances, <lb/>& </s> <s xml:id="echoid-s7740" xml:space="preserve">des diſſonances, il eſt aſſez grãd pour <lb/>faire embraſſer ces 3. </s> <s xml:id="echoid-s7741" xml:space="preserve">genres, & </s> <s xml:id="echoid-s7742" xml:space="preserve">pour <lb/>prouuer que la conſideration n’en eſt <lb/>pas inutile.</s> <s xml:id="echoid-s7743" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7744" xml:space="preserve">Mais c’eſt vne choſe eſtrange que l’on <pb o="170" file="00553" n="552" rhead="Preludes de l’Harmonie."/> ne peut eſleuer les Praticiĕs à la raiſon, <lb/>dontils fuyent la lumiere, comme les <lb/>hiboux fuyent les rayons du Soleil, par-<lb/>ce qu’ils ont ſi grande peur que l’on ne <lb/>découure leur ignorance, qu’ils ayment <lb/>mieux blaſmer larheorie, & </s> <s xml:id="echoid-s7745" xml:space="preserve">dire qu’el <lb/>le eſt inutile, & </s> <s xml:id="echoid-s7746" xml:space="preserve">qu’elle ne ſert de rien à <lb/>la pratique de la compoſition, que d’en <lb/>embraſſer la verité, qui ſurpaſſe autant <lb/>la pratique, que leCiel ſurpaſſe la terre.</s> <s xml:id="echoid-s7747" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7748" xml:space="preserve">Or malgré qu’ils en ayent, ils vſent <lb/>ſouuent du demiton mineur dans leurs <lb/>chanſons, particulierement quand ils <lb/>montent de la premiere note du troi-<lb/>ſieſme mode par degrez conioints, iuſ-<lb/>ques à la Quarte, car ils hauſſent le fa <lb/>qui fait la Tierce mineure contre le re, <lb/>d’vn demiton mineur, par le moyen de <lb/>la Dieſe, afin que le chant en ſoit meil-<lb/>leur, & </s> <s xml:id="echoid-s7749" xml:space="preserve">que le re faſſe la Tierce maieu-<lb/>re contre le dit fa. </s> <s xml:id="echoid-s7750" xml:space="preserve">Ils en vſent encore <lb/>toures & </s> <s xml:id="echoid-s7751" xml:space="preserve">quantesfois qu’ils paſſent de <lb/>la Tierce mineure à la maieure, & </s> <s xml:id="echoid-s7752" xml:space="preserve">de la <lb/>ſexte maieure à la mineure.</s> <s xml:id="echoid-s7753" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7754" xml:space="preserve">Mais afin qu’ils comprennent plus <lb/>ayſément la neceſſité de ces 3. </s> <s xml:id="echoid-s7755" xml:space="preserve">genres, <lb/>il faut remarquer que les interualles <lb/>Chromatiques, & </s> <s xml:id="echoid-s7756" xml:space="preserve">Enharmoniques, <pb o="171" file="00554" n="553" rhead="Preludes de l’Harmonie."/> ont ſeulement eſté inuentez pour ay-<lb/>der aux Diatoniques; </s> <s xml:id="echoid-s7757" xml:space="preserve">& </s> <s xml:id="echoid-s7758" xml:space="preserve">que l’õ ne peut <lb/>trouuer toutes les conſonances iuſtes <lb/>contre chaque note, ou corde Diato-<lb/>nique, ſoit auec les voix, ou ſur les in-<lb/>ſtrumens, ſans l’ayde de ces degrez <lb/>Chromatiques, & </s> <s xml:id="echoid-s7759" xml:space="preserve">Enharmoniques, <lb/>comme l’onverra ſi clairement dans les <lb/>3. </s> <s xml:id="echoid-s7760" xml:space="preserve">tables qui contiennent ces 3. </s> <s xml:id="echoid-s7761" xml:space="preserve">genres, <lb/>qu’il n’eſt pas neceſſaire de nous arre-<lb/>ſter plus long - temps ſur ce ſuiet.</s> <s xml:id="echoid-s7762" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7763" xml:space="preserve">I’adiouteray ſeulement que la Theo-<lb/>rie de ces genres ne ſeroit pas inutile, <lb/>encore qu’ils ne peuſſent ſeruir à la pra-<lb/>tique, ni aux compoſitions, d’autant <lb/>que la perfection de l’entendement ne <lb/>conſiſte pas dans la Pratique. </s> <s xml:id="echoid-s7764" xml:space="preserve">Mais dans <lb/>la contemplation; </s> <s xml:id="echoid-s7765" xml:space="preserve">& </s> <s xml:id="echoid-s7766" xml:space="preserve">que ce qui rombe <lb/>dans la Pratique, eſt beaucoup moins <lb/>excellent, que ce qui n’y peut tomber, <lb/>car encore que Dieu ſoit admirable dãs <lb/>la creation des eſties corporels, & </s> <s xml:id="echoid-s7767" xml:space="preserve">des <lb/>intellectuels, il eſt neantmoins plus ad-<lb/>mirable infiniment dans la contempla-<lb/>tion de ſoy- meſme, c’eſt à dire, de l’E-<lb/>ſtre ſouuerain, qui ne pe ut eſtre fait ni <lb/>@oduit en pratique; </s> <s xml:id="echoid-s7768" xml:space="preserve">& </s> <s xml:id="echoid-s7769" xml:space="preserve">les biĕ heureux <lb/>receuront vne plus grande perfection, <pb o="172" file="00555" n="554" rhead="Preludes de l’Harmonie."/> & </s> <s xml:id="echoid-s7770" xml:space="preserve">vn plus grand contentement en con-<lb/>templant ce qu’ils ne peuuent faire, & </s> <s xml:id="echoid-s7771" xml:space="preserve"><lb/>ce qui ne peut tomber ſouz la pratique, <lb/>qu’en conſiderant ce qui eſt dans leur <lb/>puiſſance, ou dans celle de Dieu.</s> <s xml:id="echoid-s7772" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7773" xml:space="preserve">De là vient que la Theorie eſt plus <lb/>excellente que la pratique, qui n’eſt au-<lb/>tre choſe que le plus groſſier, & </s> <s xml:id="echoid-s7774" xml:space="preserve">le plus <lb/>materiel de la Theorie, & </s> <s xml:id="echoid-s7775" xml:space="preserve">dont la plus <lb/>grande perfection n’arriue pas iuſques <lb/>au degré le plus bas de la ſpeculation, <lb/>de ſorte que la pratique eſt à l’égard de <lb/>la Theorie, ce que la terre eſt au regard <lb/>du Ciel, & </s> <s xml:id="echoid-s7776" xml:space="preserve">ce que les creatures ſont au <lb/>reſpect du Createur. </s> <s xml:id="echoid-s7777" xml:space="preserve">Car celle- la dé-<lb/>pend de celle-cy, comme le rayon dé-<lb/>pend du Soleil, la chaleur du feu, l’ar-<lb/>tizan, & </s> <s xml:id="echoid-s7778" xml:space="preserve">le maſſon de l’architecte, l’i-<lb/>mage de ſon prototype, & </s> <s xml:id="echoid-s7779" xml:space="preserve">les eſtres ma-<lb/>teriels des idées éternelles.</s> <s xml:id="echoid-s7780" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7781" xml:space="preserve">Il eſt impoſſible que les ſons, ou les <lb/>concerrs apportent quelque degré de <lb/>perfection à l’eſprit, s’il ne les épure <lb/>premierement par la raiſon, & </s> <s xml:id="echoid-s7782" xml:space="preserve">ſil ne les <lb/>dépoüille de leur matiere, pour les <lb/>trãſporter dans le Royaume des eſtres <lb/>intelligibles, & </s> <s xml:id="echoid-s7783" xml:space="preserve">dans l’eſtat de leur per-<lb/>fection.</s> <s xml:id="echoid-s7784" xml:space="preserve"/> </p> <pb o="173" file="00556" n="555" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s7785" xml:space="preserve">Mais il n’y a nulle raiſon, dont il ne <lb/>tire quelque auantage, & </s> <s xml:id="echoid-s7786" xml:space="preserve">quelque nou-<lb/>ueau degré de l’vmiere, qui luy peut <lb/>ſeruir de degré pour monter à la Sou-<lb/>ueraine lumiere, & </s> <s xml:id="echoid-s7787" xml:space="preserve">à la raiſon indepen-<lb/>dente, dont il attend ſa derniere perfe-<lb/>ction.</s> <s xml:id="echoid-s7788" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7789" xml:space="preserve">L’on peut donc conclurre de ce diſ-<lb/>cours, que la connoiſſance de ces trois <lb/>genres, & </s> <s xml:id="echoid-s7790" xml:space="preserve">de leurs raiſons eſt plus ex-<lb/>cellente que toute la pratique de la <lb/>Muſique, & </s> <s xml:id="echoid-s7791" xml:space="preserve">conſequemment qu’il en <lb/>faut plus faire d’eſtat, puiſque les cho-<lb/>ſes n’ont point de plus grãde excellen-<lb/>ce, ny meſme de plus grande vtilité à <lb/>noſtre égard, que celles dont elles per-<lb/>fectionnent la plus noble partie de no-<lb/>ſtre eſtre, à ſçauoir l’entendement, pa@ <lb/>lequel nous ſommes en quelques ma-<lb/>niere égaux aux Anges, & </s> <s xml:id="echoid-s7792" xml:space="preserve">ſemblables <lb/>à Dieu.</s> <s xml:id="echoid-s7793" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7794" xml:space="preserve">Mais ces penſées, & </s> <s xml:id="echoid-s7795" xml:space="preserve">ces idées ſont <lb/>peut - eſtre trop ſubtiles pour entrer <lb/>dans l’eſprit de ceux qui preferent le <lb/>corps à l’eſprit, la terre au Ciel, l’vtile à <lb/>l honneſte, la pratique à la Theorie, & </s> <s xml:id="echoid-s7796" xml:space="preserve"><lb/>les ſons materiels à leurs raiſons: </s> <s xml:id="echoid-s7797" xml:space="preserve">c’eſt <lb/>pourquoy ie laiſſe cette conſideration <pb o="174" file="00557" n="556" rhead="Preludes de l’Harmonie."/> pour rèpondré aux raiſons contraires, <lb/>dont la premiere eſt fondée ſur ce que <lb/>l’on ne peut vſer du genre Enharmoni-<lb/>que dans les chanſons; </s> <s xml:id="echoid-s7798" xml:space="preserve">Mais ie fais voir <lb/>ailleurs que l’on ſ’en peut ſeruir, & </s> <s xml:id="echoid-s7799" xml:space="preserve">qu’il <lb/>eſt entierement neceſſaire pour les cõ-<lb/>poſitions ordinaires, que l’on appelle <lb/>Diatoniques.</s> <s xml:id="echoid-s7800" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7801" xml:space="preserve">Quant à Timothée, il faut croire que <lb/>l’hiſtoire en eſt fabuleuſe, ou que ceux <lb/>qui l’ont écrite, ont entendu quelque <lb/>nouuelle loy, qu’il vouloit introduire <lb/>contre la couſtume receuë, & </s> <s xml:id="echoid-s7802" xml:space="preserve">approu-<lb/>uée, car les Anciens vſent ſouuent <lb/>d’Enigmes, & </s> <s xml:id="echoid-s7803" xml:space="preserve">de metaphores pour ex-<lb/>primer leurs penſées. </s> <s xml:id="echoid-s7804" xml:space="preserve">Or comme il ne <lb/>faut qu’vne ſeule corde diſſonãte pour <lb/>gaſter vn concert entier, de meſme la <lb/>ſeule propoſition, ou l’introduction d’v-<lb/>ne nouuelle loy, qui renuerſe la couſtu-<lb/>me des peuples, eſt capable de faire dé-<lb/>choir les Republiques, & </s> <s xml:id="echoid-s7805" xml:space="preserve">de perdre les <lb/>Royaumes, & </s> <s xml:id="echoid-s7806" xml:space="preserve">les Empires, qui ſont <lb/>eſtablis ſur l’vniſſon que fait la volonté <lb/>du peuple auec celle du Prince. </s> <s xml:id="echoid-s7807" xml:space="preserve">Ce <lb/>que l’on peut confirmer par l’experien-<lb/>ce de pluſieurs nations, qui ſe ſouſle-<lb/>uent, lors que l’on veut leur impoſer <pb o="175" file="00558" n="557" rhead="Preludes de l’Harmonie."/> quelque nouuelle loy, ou couſtume, <lb/>qui leur ſemble ſi diſſonante, qu’ils ont <lb/>plus de peine à l’endurer que n’ont les <lb/>Muſiciens à ſouffrir des diſcords dans <lb/>l’harmonie: </s> <s xml:id="echoid-s7808" xml:space="preserve">quoy que le temps, les oc-<lb/>caſions & </s> <s xml:id="echoid-s7809" xml:space="preserve">la neceſſité le requierent, & </s> <s xml:id="echoid-s7810" xml:space="preserve"><lb/>qu’il arriue ſouuent que les nouuelles <lb/>loix, & </s> <s xml:id="echoid-s7811" xml:space="preserve">les nouuelles couſtumes rĕdent <lb/>les Eſtats, & </s> <s xml:id="echoid-s7812" xml:space="preserve">les Royaumes plus floriſ-<lb/>ſants, plus ſtables, & </s> <s xml:id="echoid-s7813" xml:space="preserve">plus puiſſants, cõ-<lb/>me il arriue que les diſſonances & </s> <s xml:id="echoid-s7814" xml:space="preserve">les <lb/>fauſſes relations rendent la Muſique <lb/>plus agreable, & </s> <s xml:id="echoid-s7815" xml:space="preserve">plus charmante, lors <lb/>que l’õ en vſe à propos, & </s> <s xml:id="echoid-s7816" xml:space="preserve">aux endroits <lb/>qui donnent autant de graces aux con-<lb/>ſonances qui precedent ou qui ſuiuent, <lb/>que l’ombre donne de luſtre à la lumie-<lb/>re, ou aux couleurs.</s> <s xml:id="echoid-s7817" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7818" xml:space="preserve">Mais comme l’on experimente que <lb/>les Muſiciens qui n’õr autre raiſon que <lb/>leur fantaſie, & </s> <s xml:id="echoid-s7819" xml:space="preserve">quelque vieille routi-<lb/>ne, qu’ils ont appriſe de leurs maiſtres, <lb/>ſont tellement preuenus de l’authorité, <lb/>ou de la couſtume, qu’il n’y a plus de <lb/>place dans leur eſprit pour la raiſon, & </s> <s xml:id="echoid-s7820" xml:space="preserve"><lb/>qu’ils blaſment certains paſſages, à rai-<lb/>ſon qu’ils n’en oſent pas vſer, ou qu’ils <lb/>ne les ſçauent pas employer comme il <pb o="176" file="00559" n="558" rhead="Preludes de l’Harmonie."/> faut, quoy qu’ils enrichiſſent grande-<lb/>ment la compoſition, & </s> <s xml:id="echoid-s7821" xml:space="preserve">qu’ils ſoient iu-<lb/>gez tres-excellens, & </s> <s xml:id="echoid-s7822" xml:space="preserve">receuz pour des <lb/>raretez de la Muſique par ceux, ſur qui <lb/>la raiſon, & </s> <s xml:id="echoid-s7823" xml:space="preserve">la demõſtration ont plus de <lb/>force que la couſtume; </s> <s xml:id="echoid-s7824" xml:space="preserve">de meſme l’on <lb/>experimente que le peuple qui ne re-<lb/>garde qu’à fes pieds, & </s> <s xml:id="echoid-s7825" xml:space="preserve">à ce qui eſt ap-<lb/>parent, n’appro@@e pas pour l’ordinaire <lb/>ce qui va contre ſon ſens, & </s> <s xml:id="echoid-s7826" xml:space="preserve">ce qui ſem-<lb/>ble combatre la couſtume, quoy qu’il <lb/>ſoit vtile, ou neceſſaire pour le bien ge-<lb/>neral du public, & </s> <s xml:id="echoid-s7827" xml:space="preserve">que ceux qui gou-<lb/>uernent l’eſtat, dont l’eſprit penetre <lb/>iuſques au futur, & </s> <s xml:id="echoid-s7828" xml:space="preserve">les conſeils, & </s> <s xml:id="echoid-s7829" xml:space="preserve">reſo-<lb/>lutions ſ’eſtendent par toute la Repu-<lb/>blique, comme les rayons du Soleil par <lb/>tout le monde, pour conſeruer & </s> <s xml:id="echoid-s7830" xml:space="preserve">aug-<lb/>menter la gloire, & </s> <s xml:id="echoid-s7831" xml:space="preserve">la ſplendeur des <lb/>Eſtats, iugent qu’il eſt expedient de <lb/>changer quelques couſtumes, & </s> <s xml:id="echoid-s7832" xml:space="preserve">de fai-<lb/>re de nounelles loix, qui ne ſont pas <lb/>moins v@@es, ou neceſſaues au bien pu-<lb/>blic, que los pluyes, la neige, la glace, & </s> <s xml:id="echoid-s7833" xml:space="preserve"><lb/>les von@s à laterre, quoy que les orages <lb/>épouuantent les vignerõs, & </s> <s xml:id="echoid-s7834" xml:space="preserve">les labou-<lb/>rours, qui ne ſont pas aſſez experimen-<lb/>tez, ou qui n’ont pas aſſez de iugement <pb o="177" file="00560" n="559" rhead="Preludes de l’Harmonie."/> pour preuoir qu’il n’arriuera autre cho-<lb/>ſe de ce temps, qui leur ſemble ſi rude <lb/>& </s> <s xml:id="echoid-s7835" xml:space="preserve">ſi faſcheux, que l’abondance de tou-<lb/>tes ſortes de fruits, dont ils auront apres <lb/>ſuiet de leuer les mains auCiel pour be-<lb/>nir l’Eternel, qui fait naiſtre de ſi agrea-<lb/>bles accords, de ſi rudes diſſonances, <lb/>qui fait reüſſir des ſaiſons ſi eſtranges à <lb/>de ſi grands biens, & </s> <s xml:id="echoid-s7836" xml:space="preserve">qui tire tant de <lb/>graces, & </s> <s xml:id="echoid-s7837" xml:space="preserve">de benedictions, pour les ré-<lb/>pandre ſur nous, dece qui ſembloit atti-<lb/>rer ſa malediction ſur nos teſtes.</s> <s xml:id="echoid-s7838" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7839" xml:space="preserve">En effect quand nous trouuons à re-<lb/>dire aux differentes rencontres, qui ar-<lb/>riuent aux bons & </s> <s xml:id="echoid-s7840" xml:space="preserve">aux mauuais, & </s> <s xml:id="echoid-s7841" xml:space="preserve">aux <lb/>afflictions, & </s> <s xml:id="echoid-s7842" xml:space="preserve">douleurs, dont les gens de <lb/>bien ſont atteints, tandis que les mé-<lb/>chants proſperent, nous ſommes ſem-<lb/>blables à la lie du peuple, quiiuge ſini-<lb/>ſtrement des actions de ceux, dont il <lb/>doit ſuiure la conduite, & </s> <s xml:id="echoid-s7843" xml:space="preserve">dont il ne <lb/>peut raiſonnablement attendre qu’vn <lb/>heureux ſuccez, ſ’il a tant ſoit peu de <lb/>patience.</s> <s xml:id="echoid-s7844" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7845" xml:space="preserve">Car il faut croire que Dieu eſtant vn <lb/>tres-bon Pere ne prend iamais les ver-<lb/>ges pour nous chaſtier, que ce ne ſoit <lb/>touſiours pour nous rendre meilleurs, <pb o="178" file="00561" n="560" rhead="Preludes de l’ Harmonie."/> & </s> <s xml:id="echoid-s7846" xml:space="preserve">plus riches en vertus, & </s> <s xml:id="echoid-s7847" xml:space="preserve">pour ſeparer <lb/>nos affections des choſes mortelles, & </s> <s xml:id="echoid-s7848" xml:space="preserve"><lb/>periſſables, afin de les porter, & </s> <s xml:id="echoid-s7849" xml:space="preserve">de les <lb/>attacher à l’ Immuable, & </s> <s xml:id="echoid-s7850" xml:space="preserve">à l’Eternel, <lb/>& </s> <s xml:id="echoid-s7851" xml:space="preserve">qu’il n’employe nulles diſſonances <lb/>dans le grand cõcert de toutesles crea-<lb/>tures, qui toutes chantent ſes loüan-<lb/>ges, chacune à ſa façon, que ce ne ſoit <lb/>pour rendre l’harmonie qui en reſulte, <lb/>plus charmante, & </s> <s xml:id="echoid-s7852" xml:space="preserve">plus parfaite.</s> <s xml:id="echoid-s7853" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7854" xml:space="preserve">Or puis que les chordes qui ſeruent <lb/>aux diſſonances ne rõpent pas, & </s> <s xml:id="echoid-s7855" xml:space="preserve">ſouf-<lb/>frent auec auſſi peu de contrainte d’en <lb/>eſtre le ſujet, comme font les chordes <lb/>qui ſeruent aux conſonances; </s> <s xml:id="echoid-s7856" xml:space="preserve">& </s> <s xml:id="echoid-s7857" xml:space="preserve">qu’el-<lb/>les ſemblent témoigner ce contente-<lb/>ment par leurs petits ſauts, & </s> <s xml:id="echoid-s7858" xml:space="preserve">tremble-<lb/>mens, il eſt raiſonnable que tout hom-<lb/>me ſe ſouſmette tres- volõtiers, & </s> <s xml:id="echoid-s7859" xml:space="preserve">auec <lb/>contentement à la conduite de la pro-<lb/>uidence Diuine, & </s> <s xml:id="echoid-s7860" xml:space="preserve">qu’il reçoiue égale-<lb/>ment de ſa tres-iuſte main les diſſonan-<lb/>ces des aduerſitez, & </s> <s xml:id="echoid-s7861" xml:space="preserve">des maladies, & </s> <s xml:id="echoid-s7862" xml:space="preserve"><lb/>les conſonances des proſperitez, & </s> <s xml:id="echoid-s7863" xml:space="preserve">de <lb/>la ſanté: </s> <s xml:id="echoid-s7864" xml:space="preserve">ce qui eſt tres-ayſé à faire, ſi <lb/>l’on penetre plus auant dans le deſſein <lb/>de Dieu que ne fõt ceux qui cherchent <lb/>ſeulement les douceurs, & </s> <s xml:id="echoid-s7865" xml:space="preserve">les plaiſirs <pb o="179" file="00562" n="561" rhead="Preludes de l’Harmonie."/> de ce monde, dont la pratique, & </s> <s xml:id="echoid-s7866" xml:space="preserve">l’ex-<lb/>perience leur agrée dauantage que la <lb/>ſpeculation.</s> <s xml:id="echoid-s7867" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7868" xml:space="preserve">Mais ceux qui ſont plus ſçauans, & </s> <s xml:id="echoid-s7869" xml:space="preserve"><lb/>qui ſ’eſtudient à la Theorie de la volon-<lb/>té de Dieu, & </s> <s xml:id="echoid-s7870" xml:space="preserve">de ſes deſſeins, dans leſ-<lb/>quels ils entrent ſouuent, comme dans <lb/>le ſouuerain Sanctuaire; </s> <s xml:id="echoid-s7871" xml:space="preserve">& </s> <s xml:id="echoid-s7872" xml:space="preserve">dont ils ſor-<lb/>tent apres auec des ſatisfactions d’eſ-<lb/>prit qui ne peuuent eſtre expliquées de <lb/>la langue des hommes, ſont auſſi con-<lb/>tents de ſouffrir que d’agir, & </s> <s xml:id="echoid-s7873" xml:space="preserve">d’eſtre le <lb/>ſuiet, ou l’obiect des diſgraces du mon-<lb/>de, que de ſes faueurs, parce qu’ilsre-<lb/>connoiſſent que Dieu les gouuerne, & </s> <s xml:id="echoid-s7874" xml:space="preserve"><lb/>qu’il les a deſtinez pour cette partie de <lb/>l’harmonie vniuerſelle, tandis qu’il cõ-<lb/>duit le concert à ſa fin, c’eſt à dire à l’o-<lb/>ctaue, & </s> <s xml:id="echoid-s7875" xml:space="preserve">à l’vniſſon de la gloire eternel-<lb/>le, qu’il donnera à tous ceux qui auront <lb/>bien tenu leur partie, & </s> <s xml:id="echoid-s7876" xml:space="preserve">qui ſe ſeront <lb/>contentez du lieu qui leur a eſté donné <lb/>par le ſouuerain Maiſtre du grãd chœur <lb/>de l’vniuers.</s> <s xml:id="echoid-s7877" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7878" xml:space="preserve">Quant à la doctrine de Socrate, il la <lb/>faut prendre au meſine ſens; </s> <s xml:id="echoid-s7879" xml:space="preserve">car tant <lb/>ſ’en faut que le gĕre Chromatic, & </s> <s xml:id="echoid-s7880" xml:space="preserve">l’En-<lb/>harmonic bãniſſe les vertus, puis qu’ils <pb o="180" file="00563" n="562" rhead="Preludes de l’Harmonie."/> ſont propres pour la contemplation des <lb/>choſes celeſtes, & </s> <s xml:id="echoid-s7881" xml:space="preserve">pour le rauiſſement, <lb/>& </s> <s xml:id="echoid-s7882" xml:space="preserve">que le genre Diatonic demeure im-<lb/>parfait ſans leur aſſiſtance, comme l’on <lb/>verra dans des diſcours particuliers.</s> <s xml:id="echoid-s7883" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7884" xml:space="preserve">La quatrieſme obiection eſt, ce ſem-<lb/>ble, plus difficile que les precedentes, <lb/>car il eſt vray que le degré Enharmoni-<lb/>que, c’eſt à dire la Dieſe, ne ſert pas or-<lb/>dinairement pour paſſer d’vne conſo-<lb/>nance à l’autre, dautant qu’elle n’en eſt <lb/>pas la differĕce. </s> <s xml:id="echoid-s7885" xml:space="preserve">Quant au degré Chro-<lb/>matique, à ſçauoir au demiton mineur, <lb/>il eſt la difference des deux Tierces, & </s> <s xml:id="echoid-s7886" xml:space="preserve"><lb/>des deux Sextes, c’eſt pourquoy il le <lb/>faut receuoir comme neccſſaite, puis <lb/>que l’on paſſe de la moindre de ces con-<lb/>ſonances à la plus grãde, & </s> <s xml:id="echoid-s7887" xml:space="preserve">que la voix <lb/>en vſe ſouuent, tant aux ſimples recits, <lb/>qu’aux compoſitions à pluſieurs voix.</s> <s xml:id="echoid-s7888" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7889" xml:space="preserve">Pour la Dieſe, encore qu’elle ne pro-<lb/>cede pas de la difference des conſonan-<lb/>ces, comme le degré Chromatique, <lb/>neantmoins elle eſt la difference du de-<lb/>mitõ maieur, & </s> <s xml:id="echoid-s7890" xml:space="preserve">du mineur, & </s> <s xml:id="echoid-s7891" xml:space="preserve">ſert pour <lb/>trouuer les conſonances iuſtes aux en-<lb/>droits du clauier des Orgues parfaictes, <lb/>qui ne f’y pourroient pas rencontrer <pb o="181" file="00564" n="563" rhead="Preludes de l’ Harmonie."/> ſans elles. </s> <s xml:id="echoid-s7892" xml:space="preserve">Mais ie parleray plus ample-<lb/>ment de cette Dieſe au diſcours des de-<lb/>grez qui ſont neceſſaires à la Diatoni-<lb/>que, ou dans celuy de toutes les manie-<lb/>res, dont on peut paſſer d’vne conſo-<lb/>nance à l’autre: </s> <s xml:id="echoid-s7893" xml:space="preserve">& </s> <s xml:id="echoid-s7894" xml:space="preserve">bien que ce degré <lb/>fuſt au dela de ce que fait la nature, il <lb/>ne faudroit pourtant pas le reietter, <lb/>puis qu’elle reçoit pluſieurs or nemens, <lb/>& </s> <s xml:id="echoid-s7895" xml:space="preserve">perfections de l’art.</s> <s xml:id="echoid-s7896" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7897" xml:space="preserve">Il n’eſt pas beſoin de parler icy du <lb/>Comma, qui eſt la difference du ton <lb/>maieur & </s> <s xml:id="echoid-s7898" xml:space="preserve">du mineur, puis qu’il ne ſert <lb/>que pour trouuer les conſonances iu-<lb/>ſtes aux endroits où elles ſeroient im-<lb/>parfaites, & </s> <s xml:id="echoid-s7899" xml:space="preserve">pour oſter la neceſſité du <lb/>temperament de l’Orgue, & </s> <s xml:id="echoid-s7900" xml:space="preserve">des au-<lb/>tres inſtrumens: </s> <s xml:id="echoid-s7901" xml:space="preserve">de là viĕt que les deux <lb/>ſons, & </s> <s xml:id="echoid-s7902" xml:space="preserve">les deux touches, qui neſont <lb/>éloignées que du Comma, ne doiuent <lb/>eſtre conté@s que pour vne meſme tou-<lb/>che, & </s> <s xml:id="echoid-s7903" xml:space="preserve">pour vn meſmeſon, & </s> <s xml:id="echoid-s7904" xml:space="preserve">conſe-<lb/>quemmĕt qu’il n’y a que 16. </s> <s xml:id="echoid-s7905" xml:space="preserve">ſons, chor-<lb/>des, ou touches differĕtes dans le ſyſte-<lb/>me parfait, à proprement parler, puiſ-<lb/>que dans l’Octaue qui commence par <lb/>F, le ſecond G, eſt pris pour le premier; <lb/></s> <s xml:id="echoid-s7906" xml:space="preserve">& </s> <s xml:id="echoid-s7907" xml:space="preserve">que dans celle qui commence parC, <pb o="182" file="00565" n="564" rhead="Preludes de l’Harmonie."/> le ſecond D, eſt pris pour le premier, <lb/>comme ie fais voir ailleurs dans l’ex-<lb/>plication de ces deux Octaues.</s> <s xml:id="echoid-s7908" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7909" xml:space="preserve">La cinquieſme obiection prouue plu-<lb/>ſtoſt qu’il faut admettre les petits in-<lb/>terualles du genre Enharmonique, & </s> <s xml:id="echoid-s7910" xml:space="preserve"><lb/>meſme ceux de tous les autres genres <lb/>que l’on peut inuenter, puis qu’elle eſt <lb/>appuyée ſur le ieu de l’eſprit, qui con-<lb/>ſiſte à connoiſtre toures les raiſons poſ-<lb/>ſibles. </s> <s xml:id="echoid-s7911" xml:space="preserve">Quant à l’oreille, il ſuffit qu’el-<lb/>le ſoit ſatisfaite de la perfection des cõ-<lb/>ſonances, qui ne peut ſe rĕcontrer ſans <lb/>le genre Enharmonique; </s> <s xml:id="echoid-s7912" xml:space="preserve">& </s> <s xml:id="echoid-s7913" xml:space="preserve">ie croy que <lb/>les Compoſiteurs aduoürõt librement <lb/>que la perfection de tous les accords <lb/>(qui ſont diminuez, ou augmentez, ſur <lb/>les inſtrumens ordinaites) recompenſe <lb/>abondamment la difficulté que l’on <lb/>prend pour la Dieſe Enharmonique, <lb/>qui peut grandement enrichir la Muſi-<lb/>que, ſi l’on en vſe dextrement.</s> <s xml:id="echoid-s7914" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7915" xml:space="preserve">Toutesfois ſi les Praticiens cr@@gnent <lb/>que l’vſage du genre Enharmonic les <lb/>laſſetrop, & </s> <s xml:id="echoid-s7916" xml:space="preserve">les rende ineptes à la ſpe-<lb/>culation des autres choſes plus ſerieu-<lb/>ſes, ou que leurs occupations ne per-<lb/>mettent pas qu’ils comprenneur la de- <pb o="183" file="00566" n="565" rhead="Preludes de l’Harmonie."/> licateſſe de ce genre, ils ſont libres de <lb/>nes’en ſeruir pas, & </s> <s xml:id="echoid-s7917" xml:space="preserve">peuuent quitter la <lb/>Muſique pour vaquĕr à des ſpeculatiõs <lb/>plus releuées: </s> <s xml:id="echoid-s7918" xml:space="preserve">quoy qu’il ne ſoit nulle-<lb/>ment neceſſaire de les exhorter à cela, <lb/>puis que tant s’en faut qu’ils vueillent <lb/>contempler des veritez plus excellen-<lb/>tes, puis qu’ils ne recherchent ſeule-<lb/>ment pas les raiſons de ce qu’ils font <lb/>dans leurs compoſition.</s> <s xml:id="echoid-s7919" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7920" xml:space="preserve">Mais cette obiection ne combat nul-<lb/>lement ceux qui vſent de la Muſique, <lb/>comme d’vn doux repos pour ſoulager <lb/>leur eſprit, & </s> <s xml:id="echoid-s7921" xml:space="preserve">pour les porter à la con-<lb/>templation de l’harmonie Celeſte, qui <lb/>ſert d’entretien aux bien-heureux, & </s> <s xml:id="echoid-s7922" xml:space="preserve"><lb/>qui la ioignent au labeur, comme les <lb/>peintres ioignent les ombres auxcou-<lb/>leurs, pour donner de la grace à leurs <lb/>ſpeculations plus releuées, & </s> <s xml:id="echoid-s7923" xml:space="preserve">pour re-<lb/>tourner auec plus d’allegreſſe à leur <lb/>trauail ordinaire.</s> <s xml:id="echoid-s7924" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7925" xml:space="preserve">En effect ſi la Muſique doit ſeruir à <lb/>quelque vſage, & </s> <s xml:id="echoid-s7926" xml:space="preserve">ſi ſa pratique a quel-<lb/>que fin, elle n’en peutauoir de plus ex-<lb/>cellente, apres la gloire de Dieu, qui eſt <lb/>la derniere fin de toutes les choſes poſ-<lb/>fibles, que la recreation des ſçauans, <pb o="184" file="00567" n="566" rhead="Preludes de l’Harmonie."/> qui conſomment leur temps, & </s> <s xml:id="echoid-s7927" xml:space="preserve">leur <lb/>eſprit à la meditation des myſteres de <lb/>la Religion, & </s> <s xml:id="echoid-s7928" xml:space="preserve">à la recherche des rai-<lb/>ſons, qui ſeruent pour combatre tous <lb/>ceux qui ſ’oppoſent à la ve@té infailli-<lb/>ble de noſtre Foy, & </s> <s xml:id="echoid-s7929" xml:space="preserve">pour perſuader cet-<lb/>te verité, & </s> <s xml:id="echoid-s7930" xml:space="preserve">les vertus qui en depédent, <lb/>à tout le mond@.</s> <s xml:id="echoid-s7931" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7932" xml:space="preserve">La derniere obiection ſuppoſe la <lb/>mauuaiſe volonté de ceux qui abuſent <lb/>de la Muſique, & </s> <s xml:id="echoid-s7933" xml:space="preserve">qui vſentà mauuais <lb/>deſſein des petits inter ualles Chroma-<lb/>tiques, & </s> <s xml:id="echoid-s7934" xml:space="preserve">Enharmoniques: </s> <s xml:id="echoid-s7935" xml:space="preserve">cat le plai-<lb/>ſir qui en reuient, eſt ſi chaſte, & </s> <s xml:id="echoid-s7936" xml:space="preserve">ſi pur, <lb/>qu’il faut eſtre plus effeminé que Sar-<lb/>danapale pour ſ’en ſeruir à des vſages <lb/>prophanes, & </s> <s xml:id="echoid-s7937" xml:space="preserve">laſcifs: </s> <s xml:id="echoid-s7938" xml:space="preserve">& </s> <s xml:id="echoid-s7939" xml:space="preserve">l’on experi-<lb/>mente que le bon vſage de la Muſique <lb/>n’effemine pas les auditeurs, mais qu’il <lb/>les rend plus polis, & </s> <s xml:id="echoid-s7940" xml:space="preserve">plus vertueux, & </s> <s xml:id="echoid-s7941" xml:space="preserve"><lb/>que de fatouches qu’ils eſtoient, ils de-<lb/>uiennent plus courtois, plus doux, & </s> <s xml:id="echoid-s7942" xml:space="preserve"><lb/>plus accords, & </s> <s xml:id="echoid-s7943" xml:space="preserve">conſequemment plus <lb/>propres à toutes ſortes d’affaires.</s> <s xml:id="echoid-s7944" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7945" xml:space="preserve">De là vient que l’on dit qu’Orphée <lb/>batiſioit les villes auec les ſons de ſon <lb/>Luth, parce qu’il rauiſſoit tellement les <lb/>hommes, qui viuoient ſeparez, par ſes <pb o="185" file="00568" n="567" rhead="Preludes de l’Harmonie."/> diſcours, qui leur perſuadoit de demeu-<lb/>rer enſemblé, & </s> <s xml:id="echoid-s7946" xml:space="preserve">de faire des villes, & </s> <s xml:id="echoid-s7947" xml:space="preserve"><lb/>des citez pout leur retraite & </s> <s xml:id="echoid-s7948" xml:space="preserve">pour leur <lb/>ſeiour: </s> <s xml:id="echoid-s7949" xml:space="preserve">mais i’ay parlé plus amplement <lb/>de ce ſuiet dans vn diſcours particu-<lb/>lier.</s> <s xml:id="echoid-s7950" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7951" xml:space="preserve">Quantà ce que l’on obiecte de l’inu-<lb/>tilité des Muſiciens ordinaites, que l’on <lb/>appelle Meneſtriers, dont pluſieurs ſe <lb/>ſeruent pour leur paſſe-temps, il ne <lb/>ſont pas blaſmables, puis qu’ils ſe ſer-<lb/>uent de leur induſtrie pour entretenir <lb/>leurs familles, car encore qu’ils ne ſoiĕt <lb/>pas ſi vtiles que les autres artiſans, on <lb/>les peut neantmoins tolerer dans les <lb/>Republiques, puis qu’ils ne font tort à <lb/>perſonne, & </s> <s xml:id="echoid-s7952" xml:space="preserve">que chacun peut receuoir <lb/>quelque partie du plaiſir innocent, qui <lb/>procede de leurs ſons, & </s> <s xml:id="echoid-s7953" xml:space="preserve">de leur har-<lb/>monie.</s> <s xml:id="echoid-s7954" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7955" xml:space="preserve">Quant à ceux qui ſeruent à chanter <lb/>les loüanges de Dieu, on ne ſçauroit <lb/>leur donner trop de loüange, puis qu’ils <lb/>font l’office des Anges, & </s> <s xml:id="echoid-s7956" xml:space="preserve">qu’ils repre-<lb/>ſentent le Paradis dans ce monde, & </s> <s xml:id="echoid-s7957" xml:space="preserve"><lb/>l’Egliſe Triomphante dans la Mili-<lb/>tante.</s> <s xml:id="echoid-s7958" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7959" xml:space="preserve">C’eſt pourquoy ils peuuent auec tou- <pb o="186" file="00569" n="568" rhead="Preludes de l’ Harmonie."/> te aſſeurance de leur conſcience, paſſer <lb/>les iours & </s> <s xml:id="echoid-s7960" xml:space="preserve">les nuicts à trouuer de nou-<lb/>ueaux chants, & </s> <s xml:id="echoid-s7961" xml:space="preserve">de nouueaux char-<lb/>mes dans les trois genres de Muſique <lb/>pour éleuer tous les mortels à la con-<lb/>templation des choſes diuines, & </s> <s xml:id="echoid-s7962" xml:space="preserve">pour <lb/>échauffer & </s> <s xml:id="echoid-s7963" xml:space="preserve">embraſſer leur volonté du <lb/>deſir de la Ieruſalem celeſte, & </s> <s xml:id="echoid-s7964" xml:space="preserve">de l’a-<lb/>mour de Dieu, afin que toutes lés crea-<lb/>tures, & </s> <s xml:id="echoid-s7965" xml:space="preserve">particulierement la Muſique, <lb/>nous ſeruent de degré pour paruenir à <lb/>la gloire eternelle, & </s> <s xml:id="echoid-s7966" xml:space="preserve">pour nous vnir à <lb/>celuy, dont nous eſperons toutes ſortes <lb/>de biens, & </s> <s xml:id="echoid-s7967" xml:space="preserve">de contentemens.</s> <s xml:id="echoid-s7968" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7969" xml:space="preserve">I’exhorte donc tous les Muſiciens du <lb/>monde à n’employer leurs compoſitiõs <lb/>quà chanter les loüanges de Dieu, & </s> <s xml:id="echoid-s7970" xml:space="preserve"><lb/>à ſ’excit@r les vns les autres à le louer <lb/>par ces paroles du Prophete Royal: </s> <s xml:id="echoid-s7971" xml:space="preserve">Ecce <lb/>nune ben@dicite Dominum omncs ſerui Do-<lb/>mini, & </s> <s xml:id="echoid-s7972" xml:space="preserve">c. </s> <s xml:id="echoid-s7973" xml:space="preserve">dont ſe ſeruoient vne partie <lb/>des Leuites, pour aduertir les autres, <lb/>tandis qu’ils paſſoient les nuicts entie-<lb/>res dans le Temple de Salomõ en prie-<lb/>res & </s> <s xml:id="echoid-s7974" xml:space="preserve">oraiſons: </s> <s xml:id="echoid-s7975" xml:space="preserve">& </s> <s xml:id="echoid-s7976" xml:space="preserve">que l’on peut expri-<lb/>mer par cette excellĕte Paraphraſe que <lb/>l’vn de mes amis excellent Poëte, & </s> <s xml:id="echoid-s7977" xml:space="preserve"><lb/>Theologien a compoſée.</s> <s xml:id="echoid-s7978" xml:space="preserve"/> </p> <pb o="187" file="00570" n="569" rhead="Preludes de l’Harmonie."/> <p style="it"> <s xml:id="echoid-s7979" xml:space="preserve">Vous qui paſſez en heur tant de peuples diuers, <lb/>Qui ſeruez purement l’ Autheur de l’vniners, <lb/>Er connoiſſiz la main qui lance le tonnerre, <lb/>Fauoris du Seigncur, qui vous ouure les yeux, <lb/>Venez chanter ſa gloire, & </s> <s xml:id="echoid-s7980" xml:space="preserve">ſoyez ſur la terre <lb/>Ce que pour le benir les Anges ſont aux Cieux.</s> <s xml:id="echoid-s7981" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s7982" xml:space="preserve">Témoignez voſtre ardeur vous en qui Dicu s’eſt <lb/>Saints Miniſtres élcuz entre le peuple éleu, (pleu, <lb/>Qui comme ſes ſolda@s veillez à ſes portiques, <lb/>N’en laiſſez approcber ſilence ny ſommcil, <lb/>Et portez juſqu’au Ciel le bruit de vos Cantiques <lb/>Tant que le ſein des eaux nous rende le Soleil.</s> <s xml:id="echoid-s7983" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s7984" xml:space="preserve">Quand la nuict vient noircir les objects les plus <lb/>beaux, <lb/>C’eſt lors qu’il faut veiller auecque ces flambeaux, <lb/>Dont les rayons dorez illuminent ſes voiles, <lb/>Et leuant tout enſemble, & </s> <s xml:id="echoid-s7985" xml:space="preserve">vos yeux & </s> <s xml:id="echoid-s7986" xml:space="preserve">vos mains <lb/>Publier ſa grandeur à l’enny des étoiles, <lb/>Et vous rendre vn exemple au reſte des humains.</s> <s xml:id="echoid-s7987" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s7988" xml:space="preserve">Que le Dieu tout puiſſant qui forma tout de rien <lb/>Qui cognoiſt le vray prix & </s> <s xml:id="echoid-s7989" xml:space="preserve">du mal & </s> <s xml:id="echoid-s7990" xml:space="preserve">du bien, <lb/>Te prepare vn loyer digne de ſa juſtice, <lb/>Qu’ vn bon-heur eternel réponde à tes ferueurs, <lb/>Que quand tu le benis, luy-meſine te beniſſe, <lb/>Et donne à ton amour ſes plus chcres fancurs.</s> <s xml:id="echoid-s7991" xml:space="preserve"/> </p> <pb o="188" file="00571" n="570" rhead="Preludes de l’ Harmonie."/> </div> <div xml:id="echoid-div199" type="section" level="1" n="163"> <head xml:id="echoid-head264" xml:space="preserve"><emph style="sc">Qvestion</emph> VIII.</head> <head xml:id="echoid-head265" style="it" xml:space="preserve">A ſçauoir ſi les chordes parfaitement, égal@s <lb/>eſtant tirées d’vn mouuoment égal, on <lb/>à<unsure/> vne force égale par les deux extremi-<lb/>tez, ou par vne ſeule extremité ſe rom-<lb/>proient, & par quel lieu elles ſe rom-<lb/>proient</head> <p> <s xml:id="echoid-s7992" xml:space="preserve"><emph style="bf">I</emph>E ſuppoſe qu’vne chorde d’or, d’ar-<lb/>gent, de cuiure, de fer, ou de quel-<lb/>que autre matiere que l’on voudra, ſoit <lb/>parfaitemĕt égale en toutes ſes parties, <lb/>il faut voir ſi elle ſe rompra, & </s> <s xml:id="echoid-s7993" xml:space="preserve">par quel-<lb/>le partie elle ſe rompra.</s> <s xml:id="echoid-s7994" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s7995" xml:space="preserve">Premierement, quelques- vns tien-<lb/>nent que cette chorde ne peut eſtre rõ-<lb/>puë, dautant qu’il ny a pas plus de rai-<lb/>ſon qu’elle ſe rompe par vne partie que <lb/>par vne autre; </s> <s xml:id="echoid-s7996" xml:space="preserve">& </s> <s xml:id="echoid-s7997" xml:space="preserve">adjouſtent que ſi elle <lb/>ſe rompoit, il faudroit qu’elle ſe diuiſaſt <lb/>en toutes ſes parties. </s> <s xml:id="echoid-s7998" xml:space="preserve">Ce qui ne peut <lb/>arriuer, autrement il ſe feroit vne diui-<lb/>ſion d’vne infinité de parties; </s> <s xml:id="echoid-s7999" xml:space="preserve">ce que ie <lb/>veux expliquer par d’autres exemples, <lb/>par leſquels l’on comprendra mieux <pb o="189" file="00572" n="571" rhead="Preludes de l’ Harmonie."/> ce que i’ay dit de la chorde.</s> <s xml:id="echoid-s8000" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8001" xml:space="preserve">Ie commence par vne boule de fer <lb/>enferméeau centre de la terre, qui au-<lb/>roit ſon centre conioint audit centre, <lb/>ou qui auroit ſes parties égalementra-<lb/>res, ou condenſes: </s> <s xml:id="echoid-s8002" xml:space="preserve">Car bien que toute <lb/>la terre fuſt vuide, & </s> <s xml:id="echoid-s8003" xml:space="preserve">qu’elle n’euſt que <lb/>l’écorce de ſa ſurface, neantmoins ce <lb/>fer ne pourroit monter en haut d’vn <lb/>coſté ny d’autre, parce que n’y ayant <lb/>point de raiſon pourquoy il monte plu-<lb/>ſtoſt par vn coſté que par vne autre, il <lb/>ſeroit indifferĕt, & </s> <s xml:id="echoid-s8004" xml:space="preserve">ne pourroit quitter <lb/>ce lieu, encore qu’il y euſt eſté enfer-<lb/>mé auec violĕce, & </s> <s xml:id="echoid-s8005" xml:space="preserve">qu’il ny ait rien qui <lb/>l’empeſche de monter.</s> <s xml:id="echoid-s8006" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8007" xml:space="preserve">Quelques-vns rapportent ce repos <lb/>violent, & </s> <s xml:id="echoid-s8008" xml:space="preserve">ce defaut du mouuement à <lb/>la crainte du vuide, qui ſe feroit au cen-<lb/>tre de la terre, ſi les parties du Globe <lb/>de feu montoient toutes enſemble, ny <lb/>ayant pas plus de raiſon qu’vne certai-<lb/>ne partie commence ſon mouuement, <lb/>que quelqu’autre partie que ce ſoit.</s> <s xml:id="echoid-s8009" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8010" xml:space="preserve">En effect nous voyons d’eſtranges ac-<lb/>cidens dans la nature; </s> <s xml:id="echoid-s8011" xml:space="preserve">qui arriuent pour <lb/>empeſcher le vuide: </s> <s xml:id="echoid-s8012" xml:space="preserve">comme quand vn <lb/>pen de poudre enfermée dans vne mi- <pb o="190" file="00573" n="572" rhead="Preludes de l’ Harmonie."/> ne, ou dans vn canon, fait creuer les <lb/>montagnes, & </s> <s xml:id="echoid-s8013" xml:space="preserve">iette les baſtions entiers <lb/>par terre; </s> <s xml:id="echoid-s8014" xml:space="preserve">ce que l’on peut rapporter à <lb/>la fuite de la penetration, qui eſt auſſi <lb/>contraire à la nature, ou du moins qui <lb/>ſurpaſſe autant ſes forces, comme le <lb/>vuide.</s> <s xml:id="echoid-s8015" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8016" xml:space="preserve">L’on peut rapporter pluſieurs exem-<lb/>ples ſur ce ſuiect, car ſi l’on fait chauffer <lb/>vne bouteille vuide, & </s> <s xml:id="echoid-s8017" xml:space="preserve">que l’on mette <lb/>ſon col dans l’eau, elle mont era dans la <lb/>bouteille contre la proprieté qu’elle a <lb/>de deſcendre, d’autant que quand l’air <lb/>échauffé ſent le froid de l’eau, & </s> <s xml:id="echoid-s8018" xml:space="preserve">d’vn <lb/>autre air plus froid, il ſe reſſerre, & </s> <s xml:id="echoid-s8019" xml:space="preserve">ſe <lb/>condenſe, c’eſt pour quoy l’eau monte <lb/>pour remplit le vuide que fait l’air, qui <lb/>ſe retire dans vn moindre lieu.</s> <s xml:id="echoid-s8020" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8021" xml:space="preserve">L’on rend la meſme raiſon des deux <lb/>coſtez d’vn ſoufflet parfaitement bou-<lb/>ché, & </s> <s xml:id="echoid-s8022" xml:space="preserve">fermé, lequel on ne ſçauroit <lb/>ouurir; </s> <s xml:id="echoid-s8023" xml:space="preserve">de deux pieces de bois, de mar-<lb/>bre, ou d’autre matiere parfaitement <lb/>planes, leſquelles eſtant miſes l’vne ſur <lb/>l’autre ne peuuent eſtre ſeparees, ſi on <lb/>les tire perpendiculairement, car on les <lb/>peut ſeparer par vn mouuement hori-<lb/>zontal, auquel il n’y a nul peril du vui- <pb o="191" file="00574" n="573" rhead="Preludes de l’ Harmonie."/> de: </s> <s xml:id="echoid-s8024" xml:space="preserve">des ventouſes, qui attirent la chair <lb/>qui ſ’enfle, de peur que l’air échauffé ne <lb/>laiſſe du vuide en ſe condenſant: </s> <s xml:id="echoid-s8025" xml:space="preserve">des <lb/>tonneaux, ou des bouteilles, qui ne <lb/>perdent point leurs liqueurs, encore <lb/>qu’elles ſoient ouuertes en bas, dautant <lb/>que s’il en tomboit quelque goutte, il <lb/>ſe feroit du vuide au fond du vaiſſeau, <lb/>parce que l’air ne peut ſucceder. </s> <s xml:id="echoid-s8026" xml:space="preserve">Quoy <lb/>que s’il ſe fait quelque rarefaction dans <lb/>la liqueur, il en peut ſortir quelque par-<lb/>ties, ſans qu’il ſoit beſoin que l’air y en-<lb/>tre.</s> <s xml:id="echoid-s8027" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8028" xml:space="preserve">Il y a mille autres effects que l’on peut <lb/>attribuer au deſir que la nature a defuir <lb/>le vuide, ou au deſir quelle a que ſes <lb/>parties ſoient vnies, dont l’experience <lb/>ſe void aux tuyaux courbez de verre, de <lb/>fer, ou d’autre matiere: </s> <s xml:id="echoid-s8029" xml:space="preserve">Car ſi l’on me@ <lb/>l’vne de leurs extremitez dans vn étãg, <lb/>dans vn tonneau, dans vne fontaine, <lb/>& </s> <s xml:id="echoid-s8030" xml:space="preserve">c. </s> <s xml:id="echoid-s8031" xml:space="preserve">& </s> <s xml:id="echoid-s8032" xml:space="preserve">que l’autre extremité de dehors <lb/>ſoit plus baſſe que la liqueur de dedans, <lb/>ſi toſt que l’on aura tité la liqueur auec <lb/>la bouche, ou que l’on aura remply le <lb/>tuyau d’vne ſemblable liqueur, ou de <lb/>telle autre que l’on voudra, le ſiphon <lb/>coulera perpetuellement inſques à ce <pb o="192" file="00575" n="574" rhead="Preludes de l’ Harmonie."/> qu’il ayt épuiſé l’eſtang, la fonteine, & </s> <s xml:id="echoid-s8033" xml:space="preserve"><lb/>meſme toute la mer, pourueu que l’on <lb/>aye vn lieu plus bas qu’elle, pout la faire <lb/>écouler, & </s> <s xml:id="echoid-s8034" xml:space="preserve">ſortir de ſa place.</s> <s xml:id="echoid-s8035" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8036" xml:space="preserve">Ce qui peut ſeruir à ceux qui ſont ſe-<lb/>parez p@r des rochers, & </s> <s xml:id="echoid-s8037" xml:space="preserve">des monta-<lb/>gnes, ou par quelqu’autre empeſche-<lb/>ment, dont les vns ont vne fontaine, <lb/>ou vn puis, & </s> <s xml:id="echoid-s8038" xml:space="preserve">les autres n’en ont point, <lb/>car ceux qui ont l’eau, la peuuent com-<lb/>muniquer aux autres par vn canal, qui <lb/>paſſe par deſſus, ou par deſſouz l’empeſ-<lb/>chement. </s> <s xml:id="echoid-s8039" xml:space="preserve">Mais ie reuiens aux chordes <lb/>que quelques-vns tiennent ne pouuoir <lb/>eſtre rompuës eſtant tirées également <lb/>par les deux bouts, quãd elles ſont par-<lb/>faitement égales, quoy que les Anges <lb/>y employent toute leur force.</s> <s xml:id="echoid-s8040" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8041" xml:space="preserve">L’on peut encore icy rapporter l’exĕ-<lb/>ple de l’eau, & </s> <s xml:id="echoid-s8042" xml:space="preserve">de la terre, car ſi ces deux <lb/>élemens eſtoient où ſont les nuées, ils <lb/>ne pourroient reuenir dans leur lieu, <lb/>ſ’ils eſtoiĕt diſpoſez en voûr @ ſi tou-<lb/>tes leurs pa@ ties eſtoient égales, & </s> <s xml:id="echoid-s8043" xml:space="preserve">éga-<lb/>lement éloignées du centre du monde, <lb/>parce qu’il n’y auroit point de raiſon <lb/>pour laquelle vne partie d’eau, ou de <lb/>terre deſcendit pluſtoſt l’vne que l’au- <pb o="193" file="00576" n="575" rhead="Preludes de l’Harmonie."/> tre: </s> <s xml:id="echoid-s8044" xml:space="preserve">C’eſt pourquoy quelques-vns di-<lb/>ſent que les Anges pourroient changer <lb/>l’ordre de l’vniuers, ſi Dieu le leur per-<lb/>mettoit, bien qu’ils ne ſe ſeruiſſent que <lb/>de leur force naturelle, car ils pour-<lb/>roient mettre le feu, ou les Cieux au <lb/>centre du monde, & </s> <s xml:id="echoid-s8045" xml:space="preserve">au lieu de la terre, <lb/>puis l’air, l’eau, & </s> <s xml:id="echoid-s8046" xml:space="preserve">la terre au deſſus, cõ-<lb/>me l’on peut conclure de ce que nous <lb/>auons dit iuſques à preſent: </s> <s xml:id="echoid-s8047" xml:space="preserve">par conſe-<lb/>quent il ſemble qu’il eſt plus difficile <lb/>de rõpre la moindre chorde d’vne épi-<lb/>nette, ou le moindre filet eſtant égal <lb/>en toutes ſes parties, qu’il n’eſt difficile <lb/>de renuerſer tout le mõde; </s> <s xml:id="echoid-s8048" xml:space="preserve">ce qui ſem-<lb/>ble encore plus probable, quãd la chor-<lb/>de eſt circulaire, car toutes ſes parties <lb/>reſiſtent également, comme toutes les <lb/>parties d’vne ſphere concaue de verre, <lb/>laquelle ne poutroit eſtre rompuë, en-<lb/>core qu’elle fut tres-déliée, & </s> <s xml:id="echoid-s8049" xml:space="preserve">tres-<lb/>mince en toutes ſes parties, & </s> <s xml:id="echoid-s8050" xml:space="preserve">qu’elle <lb/>contint toute la poudre à canon, qui a <lb/>iamais eſté faite, car cette poudre eſtãt <lb/>enflammée égalemĕt, & </s> <s xml:id="echoid-s8051" xml:space="preserve">frappant éga-<lb/>lement toutes les paities de la boule <lb/>concaue de verre, ne pourroit la rom-<lb/>pre, ſi elle ne la rompoit dans vne in fi- <pb o="194" file="00577" n="576" rhead="Preludes de l’Harmonie."/> té de parties, ce qui n’eſt pas poſſible. <lb/></s> <s xml:id="echoid-s8052" xml:space="preserve">Mais il faudroit neceſſairement que la <lb/>violence fuſt également appliquée à <lb/>toutes les parties en meſme inſtant, ou <lb/>moment, autremĕt la chorde circulai-<lb/>re, & </s> <s xml:id="echoid-s8053" xml:space="preserve">les autres corps diſpoſez en rond <lb/>ſe romproient par le lieu le plus preſſé, <lb/>& </s> <s xml:id="echoid-s8054" xml:space="preserve">le plus violenté.</s> <s xml:id="echoid-s8055" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8056" xml:space="preserve">Le 3. </s> <s xml:id="echoid-s8057" xml:space="preserve">exemple ſe prend d’vn globe <lb/>parfait de telle peſanteur que l’on vou-<lb/>dra, lequel tombant d’vne hauteur dõ-<lb/>née ſur vn verre parfaitement plan, ne <lb/>le pourroit rompre, ſ’il ne le rompoit <lb/>en vne infinité de parties, & </s> <s xml:id="echoid-s8058" xml:space="preserve">pluſieurs <lb/>croyent que la raiſon pour laquelle les <lb/>choſes peſantes vont en bas, & </s> <s xml:id="echoid-s8059" xml:space="preserve">les lege-<lb/>res en haut, & </s> <s xml:id="echoid-s8060" xml:space="preserve">que toutes les actions <lb/>naturelles des ſimples, ou des mixtes ſe <lb/>font par vne ligne droite, ſe prend de <lb/>ce qu’il ny a que la ligne droite qui ſoit <lb/>determinée, dautant qu’elle eſt la plus <lb/>courte de toutes les poſſibles.</s> <s xml:id="echoid-s8061" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8062" xml:space="preserve">De là vient que les facultez qui nous <lb/>ſeruent pour cognoiſtre les objects, cõ-<lb/>me eſt l’ĕtendemĕt des<emph style="sc">A</emph>nges, & </s> <s xml:id="echoid-s8063" xml:space="preserve">des hõ-<lb/>mes, la fantaiſie, & </s> <s xml:id="echoid-s8064" xml:space="preserve">les ſens exterieurs, <lb/>(& </s> <s xml:id="echoid-s8065" xml:space="preserve">la cognoiſſance naturelle des mix-<lb/>tes, & </s> <s xml:id="echoid-s8066" xml:space="preserve">des élements, ſ’ils ont quelque <pb o="195" file="00578" n="577" rhead="Preludes de l’Harmonie."/> veſtige, ou quelque ombre de connoiſ-<lb/>ſance analogue à leur deſir, ou appe-<lb/>tit naturel, comme tiennenr quelques <lb/>Philoſophes) ne peuuent rien connoi-<lb/>ſtre, ſi elles ne ſont determinées par les <lb/>images des obiects acquiſes, ou infuſes, <lb/>car ne pouuant ſe porter à la connoiſ-<lb/>ſance de tous les obiects poſſibles, (n’y <lb/>ayant que Dieu ſeul, dont l’entende-<lb/>ment eſt determiné par ſoy - meſme <lb/>de toute éternité à la connoiſſance de <lb/>toutes les choſes poſſibles,) il n’y a <lb/>point de raiſon pourquoy les Anges, les <lb/>hommes, ou les beſtes connoiſſent plu-<lb/>ſtoſt vne choſe, qu’vne autre, ſi ce n’eſt <lb/>parce que leurs facultez ſont determi-<lb/>nées par les eſpeces, ou images, qu’el-<lb/>les ont receues, & </s> <s xml:id="echoid-s8067" xml:space="preserve">mendiées d’ailleurs.</s> <s xml:id="echoid-s8068" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8069" xml:space="preserve">Or cette indetermination ſert enco-<lb/>re aux Philoſophes, qui diſent que les <lb/>indiuidus ne peuuent eſtre ce qu’ils sõt, <lb/>ſi Dieu ne les determine à eſtre tels, ou <lb/>tels indiuidus: </s> <s xml:id="echoid-s8070" xml:space="preserve">par exemple, ils croyent <lb/>qu’il n’y a point de raiſon pourquoy <lb/>Pierre eſt pluſtoſt l’indiuidu, que nous <lb/>appellons Pierre, qu’il n’eſt Paul; </s> <s xml:id="echoid-s8071" xml:space="preserve">pour-<lb/>quoy ceſte mouſche, ceſte fourmy, & </s> <s xml:id="echoid-s8072" xml:space="preserve">c. <lb/></s> <s xml:id="echoid-s8073" xml:space="preserve">eſt pluſtoſt telle en nombre, ou ſelon <pb o="196" file="00579" n="578" rhead="Preludes de l’Harmonie."/> ſon indiuidu, qu’elle n’eſt autre indiui-<lb/>duellement, ſice n’eſt par ce que Dieu <lb/>determine, que chaque choſe ſoit tel, <lb/>ou tel indiuidu, ce qui nous fournit vne <lb/>nouuelle matiere pour les actions de <lb/>grace que chacun doit rendre à Dieu, <lb/>de ce qu’il la determïné à eſtre tel qu’il <lb/>eſt indiuiduellemeut, & </s> <s xml:id="echoid-s8074" xml:space="preserve">perſonnelle-<lb/>ment.</s> <s xml:id="echoid-s8075" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8076" xml:space="preserve">Ils veulent auſſi que Dieu determi-<lb/>ne les degrez des qualitez qui ſe cor-<lb/>rompent, quand ils ſont d’vne meſme <lb/>nature, parce qu’il n’y a point de raiſon <lb/>pourquoy la corruption commĕce plu-<lb/>ſtoſt par l’vn des degrez, que par l’au-<lb/>tre; </s> <s xml:id="echoid-s8077" xml:space="preserve">que l’entendement ne puiſſe croi-<lb/>re, ou ſuiure quelque verité, quand il <lb/>a des raiſons auſſi fortes pour douter, <lb/>comme pour aſſeurer; </s> <s xml:id="echoid-s8078" xml:space="preserve">& </s> <s xml:id="echoid-s8079" xml:space="preserve">qu’vn animal <lb/>eſtant au milieu de deux obiects, qu’il <lb/>apprehende également, (comme l’on <lb/>dit ordinairemĕt de l’aſne de Buridan <lb/>mis entre-deux meſures d’auoine) ne <lb/>peut aller à l’vn, n’y à l’autre.</s> <s xml:id="echoid-s8080" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8081" xml:space="preserve">A quoy les Theologiens adioûtent <lb/>que le Preſtre ne peut conſacrer vne <lb/>Hoſtie entre pluſieurs, qu’il ne veut pas <lb/>conſacrer, s’il ne la determine, & </s> <s xml:id="echoid-s8082" xml:space="preserve">s’il ne <pb o="197" file="00580" n="579" rhead="Preludes de l’Harmonie."/> la ſepare, du moins auec la penſée. </s> <s xml:id="echoid-s8083" xml:space="preserve">Ce <lb/>que l’õ peut auſſi dire de celuy qui vou-<lb/>droit baptiſer deux ou trois enfans en-<lb/>tre pluſieurs autres, sãs les determiner.</s> <s xml:id="echoid-s8084" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8085" xml:space="preserve">D’où l’on peut, ce ſemble, conclurre <lb/>qu’il ny a rien au monde qui ſe puiſſe <lb/>determiner, ou qui ſoit determiné de <lb/>ſoy-meſme, que la volonté, & </s> <s xml:id="echoid-s8086" xml:space="preserve">l’enten-<lb/>dement de Dieu: </s> <s xml:id="echoid-s8087" xml:space="preserve">Par conſequent no-<lb/>ſtre volonté a vne puiſſance qui appro-<lb/>che plus de la puiſſance de Dieu, que <lb/>tout ce qui eſt dans l’vniuers; </s> <s xml:id="echoid-s8088" xml:space="preserve">c’eſt pour-<lb/>quoy nous la deuons garder en ſa pure-<lb/>té, & </s> <s xml:id="echoid-s8089" xml:space="preserve">eſtre plus ſoigneuſe de ſa perfe-<lb/>ctiõ que de toutes les autres choſes du <lb/>monde, & </s> <s xml:id="echoid-s8090" xml:space="preserve">meſme que de noſtre enten-<lb/>demĕt, qui ne peut auoir nulle penſée, <lb/>s’il n’eſt determiné d’ailleurs. </s> <s xml:id="echoid-s8091" xml:space="preserve">Or il ſem-<lb/>ble que tous ces exemples ſont ſuffisãs <lb/>pour perſuader que la chorde qui ſeroit <lb/>égale en toutes ſes parties, eſtant égale-<lb/>ment tirée par ſes deux extremitez, ne <lb/>pourroit eſtre rompuë; </s> <s xml:id="echoid-s8092" xml:space="preserve">Neantmoins il <lb/>eſt croyable qu’elle ſe romproit pour <lb/>deux raiſons, dont i’appliqueray la pre-<lb/>miere à la chorde égale miſe ſur la mo-<lb/>nochorde, à laquelle vn poids donné <lb/>@eroit ſuſpĕdu: </s> <s xml:id="echoid-s8093" xml:space="preserve">Ie dis dõc que la partie <pb o="198" file="00581" n="580" rhead="Preludes de l’Harmonie."/> de la @horde qui eſt proche du poids, a <lb/>plus de peine, & </s> <s xml:id="echoid-s8094" xml:space="preserve">ſouffre dauantage que <lb/>les parties qui en ſont plus éloignées.</s> <s xml:id="echoid-s8095" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8096" xml:space="preserve">Car les parties voiſines ſont tirées <lb/>auant les éloignées, de maniere que <lb/>(ſuppoſé qu’il faille deux attractions, <lb/>ou deux efforts pour rompre la chorde) <lb/>le premier effort eſt premierement cõ-<lb/>muniqué aux parties voiſines, puis aux <lb/>autres ſucceſſiuement, iuſques à ce que <lb/>l’effort ſoit communiqué à la chorde <lb/>entiere: </s> <s xml:id="echoid-s8097" xml:space="preserve">en apres le ſecond effort com-<lb/>mence encore par les parties voiſines, <lb/>qui obeïſſent les premieres à la force, & </s> <s xml:id="echoid-s8098" xml:space="preserve"><lb/>quittent l’vnion qu’elles auoient auec <lb/>les autres, dautant qu’elles ne peuuent <lb/>plus ſubſiſter, n’y reſiſter à la force.</s> <s xml:id="echoid-s8099" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8100" xml:space="preserve">Cette raiſon eſt fondée ſur l’ex pe-<lb/>rience, car de cent chordes de toutes <lb/>ſortes de metaux que i’ay fait rompre <lb/>par la force des poids, à peine s’en ren-<lb/>contre-il deux qui ne rompent proche <lb/>du poids, ou de la force; </s> <s xml:id="echoid-s8101" xml:space="preserve">& </s> <s xml:id="echoid-s8102" xml:space="preserve">neantmoins <lb/>il eſt tres certain que toutes les chor-<lb/>des tirées par le meſme trou d’vne filie-<lb/>re, ne ſont pas touſiours plus foibles à <lb/>l’endroit, où elles ſe rompent, qu’aux <lb/>autres lieux, qui ſont plus éloignez du <pb o="199" file="00582" n="581" rhead="Preludes de l’Harmonie."/> poids: </s> <s xml:id="echoid-s8103" xml:space="preserve">par conſequent ſi elles ſe rom-<lb/>pent prés du poids, encore qu’elles <lb/>ſoient plus fortes, il faut neceſſairemĕt <lb/>conclurre qu’elles ſe romproient au <lb/>meſme lieu, encore qu’elles fuſſent par-<lb/>faitement égales.</s> <s xml:id="echoid-s8104" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8105" xml:space="preserve">La ſeconde raiſon ſeruira pour les <lb/>chordes parfaitement éga’es, qui ſont <lb/>tirées également par les deux extremi-<lb/>tez, auec des poids égaux, ou en quel-<lb/>qu’autre maniere, car le premier effort <lb/>eſtãt communiqué à toutes les parties, <lb/>mais premierement aux parties voiſi-<lb/>nes, s’il ne faut que deux efforts pour <lb/>rompre la chorde, il ſemble qu’elle rõ-<lb/>pra par les deux extremitez en meſme <lb/>temps, puis que le ſecond effort affecte-<lb/>ra premierement les parties qui ſont <lb/>proches des poids, ou des forces.</s> <s xml:id="echoid-s8106" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8107" xml:space="preserve">Ce qui eſt contre l’aduis de ceux qui <lb/>tiennent, que la partie du milieu eſt la <lb/>premiere agitée d’vn coſté & </s> <s xml:id="echoid-s8108" xml:space="preserve">d’autre; <lb/></s> <s xml:id="echoid-s8109" xml:space="preserve">c’eſt à dire qu’elle eſt tirée en meſme <lb/>temps: </s> <s xml:id="echoid-s8110" xml:space="preserve">par exemple, vers le Midy, & </s> <s xml:id="echoid-s8111" xml:space="preserve"><lb/>retirée vers le Septentrion; </s> <s xml:id="echoid-s8112" xml:space="preserve">car, diſent-<lb/>ils, la premiere partie de la chorde eſt <lb/>premierement tirée, puis la ſeconde <lb/>par le moyen de la premiere, la troiſieſ- <pb o="200" file="00583" n="582" rhead="Preludes de l’Harmonie."/> me par le moyen de la ſeconde, & </s> <s xml:id="echoid-s8113" xml:space="preserve">ainſi <lb/>conſequemment, iuſques à ce que l’ef-<lb/>fort ſoit paruenu à la derniere partie.</s> <s xml:id="echoid-s8114" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8115" xml:space="preserve">Secondement la premiere partie eſt <lb/>encore retirée, mais c’eſt par le moyen <lb/>de la ſeconde, & </s> <s xml:id="echoid-s8116" xml:space="preserve">la ſeconde eſt retirée <lb/>par le moyen de la troiſieſme, & </s> <s xml:id="echoid-s8117" xml:space="preserve">ainſi <lb/>des autres iuſques à ce que l’on vienne <lb/>à la partie du milieu, qui endure l’attra-<lb/>ction d’vn coſté, & </s> <s xml:id="echoid-s8118" xml:space="preserve">la retraction de l’au-<lb/>tre en meſme temps: </s> <s xml:id="echoid-s8119" xml:space="preserve">ce qui la fait rom-<lb/>pre.</s> <s xml:id="echoid-s8120" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8121" xml:space="preserve">Mais ſi cette raisõ ſupoſe que la chor-<lb/>de ſoit premierement tirée d’vn coſté, <lb/>i’ay fait voir par la premiere raiſon fon-<lb/>dée en mille experiences qu’elle rom-<lb/>peroit prés de la force: </s> <s xml:id="echoid-s8122" xml:space="preserve">& </s> <s xml:id="echoid-s8123" xml:space="preserve">ſi cét effort <lb/>viĕt des deux coſtez en meſme temps, <lb/>il ſemble que la partie du milieu rece-<lb/>ura la premiere les deux efforts en meſ-<lb/>me temps, car les deux forces eſtant en <lb/>acte, & </s> <s xml:id="echoid-s8124" xml:space="preserve">faiſant le<gap/> ffort en meſme <lb/>temps, la partie du<gap/>ieu ſera pluſtoſt <lb/>agitée, & </s> <s xml:id="echoid-s8125" xml:space="preserve">affectée des deux efforts que <lb/>nulle autre; </s> <s xml:id="echoid-s8126" xml:space="preserve">par conſequent la chorde <lb/>parfaitement égale & </s> <s xml:id="echoid-s8127" xml:space="preserve">eſtant égalemĕt <lb/>tirée des deux coſtez en meſme temps, <lb/>ſemble ſe deuoir rompre par le milieu, <pb o="201" file="00584" n="583" rhead="Preludes de l’Harmonie."/> nonobſtant l’autre raiſon que i’ay ap-<lb/>porte@@, qui ne conclud que pour la <lb/>chorde qui eſt ſeulement tirée par vn <lb/>bout, quoy que l’õ puiſſe dire que l’au-<lb/>tre bout, par lequel elle eſt attachée, & </s> <s xml:id="echoid-s8128" xml:space="preserve"><lb/>arreſtée, fait le meſme effort que le <lb/>poids de la force qui bande la chorde <lb/>par l’autre bout, & </s> <s xml:id="echoid-s8129" xml:space="preserve">par conſequent que <lb/>ces deux efforts ſe rencontreront plu-<lb/>ſtoſt enſemble au milieu, qu’aux autres <lb/>parties de la chorde; </s> <s xml:id="echoid-s8130" xml:space="preserve">ce qui n’arriue <lb/>pourtant pas, puis que les chordes ſe <lb/>rompent touſiours vers les poids: </s> <s xml:id="echoid-s8131" xml:space="preserve">de <lb/>ſorte qu’il faut dire qu’elle ſe rompra <lb/>par les deux bouts en meſme tĕps, s’ils <lb/>ſont également forts, & </s> <s xml:id="echoid-s8132" xml:space="preserve">égalemĕt vio-<lb/>lentez; </s> <s xml:id="echoid-s8133" xml:space="preserve">mais ie veux icy donner les <lb/>experiences tres-iuſtes que i’ay faites.</s> <s xml:id="echoid-s8134" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8135" xml:space="preserve">Les chordes les plus égales en toutes <lb/>leurs parties qui ſe puiſſent rencontrer, <lb/>eſtant tirées également par les deux <lb/>bouts, ſoit auec d<gap/>oids égaux, ou par <lb/>quelqu’autre for<gap/>gale, ſe rompent <lb/>touſiours par l’vn des bouts vers le lieu <lb/>où eſt le poids, ou la force, & </s> <s xml:id="echoid-s8136" xml:space="preserve">iamais par <lb/>le milieu.</s> <s xml:id="echoid-s8137" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8138" xml:space="preserve">C’eſt pourquoy il ſemble que l’attra-<lb/>ction, ou l’impreſſiõ qui ſe fait aux deux <pb o="202" file="00585" n="584" rhead="Preludes de l’Harmonie."/> extremitez, ne ſe communique pas au <lb/>milieu auec tant de violence, & </s> <s xml:id="echoid-s8139" xml:space="preserve">que les <lb/>deux impreſſions qui ſ’y rencontrent, <lb/>ſont plus foibles que l’vne de celles, qui <lb/>ſe communiquent à l’vn des bouts de <lb/>la chorde. </s> <s xml:id="echoid-s8140" xml:space="preserve">Ce que l’on peut confirmer <lb/>par pluſieurs experiences, qui font pa-<lb/>roiſtre que la force agit plus puiſſam-<lb/>ment ſur les parties de l’object qui ſont <lb/>proches, que ſur les éloignées, comme <lb/>l’on experimente au feu, qui échauffe <lb/>le bois, ou quelqu’autre choſe, & </s> <s xml:id="echoid-s8141" xml:space="preserve">au <lb/>mouuement que l’on imprime à vne <lb/>longue chorde, & </s> <s xml:id="echoid-s8142" xml:space="preserve">aux chordes auec <lb/>leſquelles l’on tite les bateaux, car les <lb/>deux @xtremitez de ces chordes ſont ſi <lb/>fort tenduës, qu’elles ſe rompent ſou-<lb/>uent, encore que le milieu ſoit ſi laſche <lb/>qu’il tombe par terre, ou dans l’eau: <lb/></s> <s xml:id="echoid-s8143" xml:space="preserve">quoy que la difference de cette tenſion <lb/>ne ſoit pas ſans de grandes difficultez <lb/>qui meritent vn autre lieu.</s> <s xml:id="echoid-s8144" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8145" xml:space="preserve">Mais puis que la chorde ſe rompt <lb/>touſiours par vne ſcule de ſes extremi-<lb/>tez, il eſt neceſſaire que celle, par où el-<lb/>le rompt, ſoit plus foible que l’autre, <lb/>car il n’y a point de raiſon pour laquelle <lb/>elle ſe rompe pluſtoſt par vn bout que <pb o="203" file="00586" n="585" rhead="Preludes de l’Harmonie."/> par l’autte, ſinon parce qu’elle ſ’y trou-<lb/>ue plus foible: </s> <s xml:id="echoid-s8146" xml:space="preserve">ou ſi l’õ ne dit que l’Au-<lb/>theur de la nature determine l’extre-<lb/>mité, par laquelle elle ſe rompt.</s> <s xml:id="echoid-s8147" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8148" xml:space="preserve">Ce qui arriue aux chordes de cuiure, <lb/>atriue pareillement à la ſoye, & </s> <s xml:id="echoid-s8149" xml:space="preserve">au fil: <lb/></s> <s xml:id="echoid-s8150" xml:space="preserve">c’eſt pourquoy l’on peut dire que la <lb/>chorde égale en toutes ſes parties ne ſe <lb/>rompra iamais par le milieu, quand elle <lb/>ſera tirée également par les deuxbours, <lb/>ſoit qu’õ la tende perpendiculairemĕt, <lb/>ou horizontallement, & </s> <s xml:id="echoid-s8151" xml:space="preserve">que l’on ap-<lb/>plique les forces à ſes deux extremitez, <lb/>ou au milieu iuſques à ce qu’elle rõpe: </s> <s xml:id="echoid-s8152" xml:space="preserve"><lb/>Car en quelque maniere que l’on l’e-<lb/>ſtende, elle rompt touſiours par l’vne <lb/>de ſes extremitez, quoy que les baſtõs <lb/>parallelles à l’orizon rompent par le <lb/>milieu, qui eſt preſſé & </s> <s xml:id="echoid-s8153" xml:space="preserve">violenté par le <lb/>poids, ou par la force que l’on y appli-<lb/>que, dont i’explique la raiſon dans le <lb/>traité des Mechaniques.</s> <s xml:id="echoid-s8154" xml:space="preserve"/> </p> <pb o="204" file="00587" n="586" rhead="Preludes de l’Harmonie."/> </div> <div xml:id="echoid-div200" type="section" level="1" n="164"> <head xml:id="echoid-head266" xml:space="preserve">QVESTION IX.</head> <head xml:id="echoid-head267" style="it" xml:space="preserve">A ſçauoir pourquoy les Grecs ont pluſtoſt vsé <lb/>des Tetrachordes ou des Quartes pour <lb/>eſtablir la Muſique, que du Pentachorde, <lb/>de l’Exachorde, ou de quelqu’autre nom-<lb/>bre de chordes; où l’on void pluſieurs bel-<lb/>les remarques ſur le nombre de 4. & où le <lb/>3. probleme de l@ 15. ſection d’Ariſtote eſt <lb/>expliqué.</head> <p> <s xml:id="echoid-s8155" xml:space="preserve"><emph style="bf">L</emph>Es Gr@cs ont pluſtoſt vſé du Te-<lb/>trachorde que d’vn plus grand, <lb/>ou d’vn moindre nombres de chordes, <lb/>à raiſon que la Quarte, ou le Diateſſa-<lb/>ron eſt la moindre de leurs conſonan-<lb/>ces. </s> <s xml:id="echoid-s8156" xml:space="preserve">Or le moindre en chaque genre eſt <lb/>la regle de toutes les autres choſes qui <lb/>en dependent, & </s> <s xml:id="echoid-s8157" xml:space="preserve">nous ne trouuons <lb/>point qu’ils ayent recõnu de moindres <lb/>conſonances que la Quarte, d’autant <lb/>que les autres interualles moindres que <lb/>la Quarte, comme ſont les Tierces, ont <lb/>plus de baſtemĕs d’air qui ne ſ’vniſſent <lb/>point, qu’ils n’en ont qui s’vniſſent, cõ-<lb/>me i’ay monſtré ailleurs.</s> <s xml:id="echoid-s8158" xml:space="preserve"/> </p> <pb o="205" file="00588" n="587" rhead="Preludes de l’Harmonie."/> <p> <s xml:id="echoid-s8159" xml:space="preserve">Il faut donc conclurre qu’ils ont pris <lb/>le Tetrachorde pour le fondement de <lb/>la Muſique, parce que la Quarte, ou le <lb/>Diateſſaron de chaque genre contient <lb/>4. </s> <s xml:id="echoid-s8160" xml:space="preserve">chordes, dont ils nomment la plus <lb/>baſſe, & </s> <s xml:id="echoid-s8161" xml:space="preserve">la principalle, hypate hypaton; </s> <s xml:id="echoid-s8162" xml:space="preserve">la <lb/>2. </s> <s xml:id="echoid-s8163" xml:space="preserve">parypate hypaton, la 3. </s> <s xml:id="echoid-s8164" xml:space="preserve">hypate meſon, & </s> <s xml:id="echoid-s8165" xml:space="preserve"><lb/>la 4. </s> <s xml:id="echoid-s8166" xml:space="preserve">parypate meſon, qui ne ſont autre <lb/>choſe que les 4. </s> <s xml:id="echoid-s8167" xml:space="preserve">chordes qui fõt noſtre <lb/>mi, fa, ſol, la; </s> <s xml:id="echoid-s8168" xml:space="preserve">dont la 1. </s> <s xml:id="echoid-s8169" xml:space="preserve">& </s> <s xml:id="echoid-s8170" xml:space="preserve">la 4. </s> <s xml:id="echoid-s8171" xml:space="preserve">à ſça-<lb/>uoir mi, la, font la conſonance, que les <lb/>Praticiens appellent la Quarte. </s> <s xml:id="echoid-s8172" xml:space="preserve">De là <lb/>vient qu’ils ont compoſé leurs ſyſte-<lb/>mes de 4. </s> <s xml:id="echoid-s8173" xml:space="preserve">ou 5. </s> <s xml:id="echoid-s8174" xml:space="preserve">Tetrachordes, qui ne <lb/>font autre choſe que la repetition du <lb/>Tetrachorde, qui contient tous les <lb/>moindres interualles de la Muſique, à <lb/>ſçauoir le ton maieur, & </s> <s xml:id="echoid-s8175" xml:space="preserve">le mineur, & </s> <s xml:id="echoid-s8176" xml:space="preserve"><lb/>le demiton maieur dans la Diatonique, <lb/>qui eſt la plus ayſée, & </s> <s xml:id="echoid-s8177" xml:space="preserve">conſequem-<lb/>ment la plus naturelle.</s> <s xml:id="echoid-s8178" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8179" xml:space="preserve">A quoy l’on peut adiouſter qu’ils ont <lb/>compoſé l’Octaue de 2. </s> <s xml:id="echoid-s8180" xml:space="preserve">Tetrachordes <lb/>diſioints, & </s> <s xml:id="echoid-s8181" xml:space="preserve">ſeparés par le ton maieur, <lb/>de ſorte que le Tetrachorde leur a ſer-<lb/>uy de regle, & </s> <s xml:id="echoid-s8182" xml:space="preserve">de compas, ou de meſu-<lb/>re pour regler, & </s> <s xml:id="echoid-s8183" xml:space="preserve">pour meſurer toute la <lb/>Muſique: </s> <s xml:id="echoid-s8184" xml:space="preserve">quoy que Guy Aretin ayt <pb o="206" file="00589" n="588" rhead="Preludes de l’Harmonie."/> pris l’Exachordes dans lequel il a com-<lb/>pris les trois eſpeces de Quarte, comme <lb/>i’ay dit ailleurs.</s> <s xml:id="echoid-s8185" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8186" xml:space="preserve">L’on pourroit encore ſ’imaginer qu’ils <lb/>ont fondé toute @@ Muſique ſur le Tre-<lb/>tachorde, à raiſon que leurs premiers <lb/>inſtrumens n’auoient que 4. </s> <s xml:id="echoid-s8187" xml:space="preserve">chordes, <lb/>dont on peut tirer toutes ſortes de <lb/>chãts, & </s> <s xml:id="echoid-s8188" xml:space="preserve">d’harmonies, comme l’on ex-<lb/>perimente ſur les Violõs, auec leſquels <lb/>les excellĕs Maiſtres repreſentent qua-<lb/>ſi tout ce que l’on peut ſ’imaginer, com-<lb/>me ie diray dans le liure des Inſtru-<lb/>mens.</s> <s xml:id="echoid-s8189" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8190" xml:space="preserve">Il ne faut pourtant pas ſ’arreſter à ce <lb/>nombre de chordes, ſoit qu’ils ayent <lb/>voulu repreſenter le nombre des éle-<lb/>ments, ou les 4. </s> <s xml:id="echoid-s8191" xml:space="preserve">ſaiſons de l’année, ou <lb/>quelqu’autre quaternaire de choſes par <lb/>leurs 4. </s> <s xml:id="echoid-s8192" xml:space="preserve">chordes, ou qu’ils les aiĕt iugées <lb/>ſuffisãtes pour toute ſorte d’harmonie, <lb/>dautant que l’on ſçait que pluſieurs au-<lb/>tres ont mis 7. </s> <s xml:id="echoid-s8193" xml:space="preserve">chordes ſur leurs inſtru-<lb/>mens, comme l’õ void dans l’Amphion <lb/>des Tableaux de Philoſtrate, & </s> <s xml:id="echoid-s8194" xml:space="preserve">en plu-<lb/>ſieurs reuers de medailles; </s> <s xml:id="echoid-s8195" xml:space="preserve">& </s> <s xml:id="echoid-s8196" xml:space="preserve">que les <lb/>autres ont vsé de 8. </s> <s xml:id="echoid-s8197" xml:space="preserve">ou 9. </s> <s xml:id="echoid-s8198" xml:space="preserve">chordes, & </s> <s xml:id="echoid-s8199" xml:space="preserve"><lb/>les autres de trois ſeulement, comme <pb o="207" file="00590" n="589" rhead="Preludes de l’Harmonie."/> Olympe au rapport de Plutarque, & </s> <s xml:id="echoid-s8200" xml:space="preserve"><lb/>Mercure, dont parle Diodore: </s> <s xml:id="echoid-s8201" xml:space="preserve">mais ie <lb/>parleray plus amplement du nombre <lb/>de ces chordes dans vn liure particu-<lb/>lier.</s> <s xml:id="echoid-s8202" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8203" xml:space="preserve">Car ie veux employer le reſte de ce <lb/>diſcours à l’examen du quaternaire, <lb/>qu’ils ont peut-eſtre choiſi, parce qu’il <lb/>repreſente tous les nombres, dautant <lb/>que ſes parties eſtant adiouſtées font <lb/>dix, qui finit, ce ſemble, tous les nom-<lb/>bres, puis qu’il comprend le nombre <lb/>pair, & </s> <s xml:id="echoid-s8204" xml:space="preserve">l’impair, le quarré, le cube, & </s> <s xml:id="echoid-s8205" xml:space="preserve"><lb/>le premier compoſé, comme remarque <lb/>Ariſtote dans le; </s> <s xml:id="echoid-s8206" xml:space="preserve">Probleſme de la 15. <lb/></s> <s xml:id="echoid-s8207" xml:space="preserve">ſection, où il dit que le dix eſt la fontai-<lb/>ne, & </s> <s xml:id="echoid-s8208" xml:space="preserve">le principe des nombres, parce <lb/>qu’il eſt composé d’vn, de 2, de 3, & </s> <s xml:id="echoid-s8209" xml:space="preserve">de <lb/>4, que les Thraces ne paſſoient nulle-<lb/>ment en cõptant, ſoit qu’ils euſſent la <lb/>memoire ſi courte, ou l’imagination ſi <lb/>foible qu’ils ne peuſſent cõpter que iuſ-<lb/>ques à 4. </s> <s xml:id="echoid-s8210" xml:space="preserve">ce qui n’eſt pas vray ſembla-<lb/>ble, attendu que les 5. </s> <s xml:id="echoid-s8211" xml:space="preserve">doigts de la main <lb/>apprennent du moins à conter iuſques <lb/>à 5. </s> <s xml:id="echoid-s8212" xml:space="preserve">& </s> <s xml:id="echoid-s8213" xml:space="preserve">ceux des 2. </s> <s xml:id="echoid-s8214" xml:space="preserve">mains iuſques à dix; </s> <s xml:id="echoid-s8215" xml:space="preserve"><lb/>où qu’ils ayent voulu ſignifier que l’on <lb/>peut trouuer toutes les parties tant ali- <pb o="208" file="00591" n="590" rhead="Preludes de l’Harmonie."/> quotes, que quantieſmes, ou aliquan-<lb/>tes du dix dans le quaternaire, car l’on <lb/>y trouue premierement 1. </s> <s xml:id="echoid-s8216" xml:space="preserve">2. </s> <s xml:id="echoid-s8217" xml:space="preserve">3. </s> <s xml:id="echoid-s8218" xml:space="preserve">& </s> <s xml:id="echoid-s8219" xml:space="preserve">4; </s> <s xml:id="echoid-s8220" xml:space="preserve">& </s> <s xml:id="echoid-s8221" xml:space="preserve"><lb/>puis 5. </s> <s xml:id="echoid-s8222" xml:space="preserve">en adiouſtant 1. </s> <s xml:id="echoid-s8223" xml:space="preserve">à 4. </s> <s xml:id="echoid-s8224" xml:space="preserve">ou 2. </s> <s xml:id="echoid-s8225" xml:space="preserve">à 3; </s> <s xml:id="echoid-s8226" xml:space="preserve">& </s> <s xml:id="echoid-s8227" xml:space="preserve"><lb/>6. </s> <s xml:id="echoid-s8228" xml:space="preserve">en adiouſtant 2. </s> <s xml:id="echoid-s8229" xml:space="preserve">à 4; </s> <s xml:id="echoid-s8230" xml:space="preserve">7. </s> <s xml:id="echoid-s8231" xml:space="preserve">en adiouſtãt <lb/>4. </s> <s xml:id="echoid-s8232" xml:space="preserve">à 3; </s> <s xml:id="echoid-s8233" xml:space="preserve">8, en adiouſtant 1, 3, & </s> <s xml:id="echoid-s8234" xml:space="preserve">4; </s> <s xml:id="echoid-s8235" xml:space="preserve">9, en <lb/>adiouſtant 2, 3 & </s> <s xml:id="echoid-s8236" xml:space="preserve">4; </s> <s xml:id="echoid-s8237" xml:space="preserve">& </s> <s xml:id="echoid-s8238" xml:space="preserve">finalement dix, <lb/>en adiouſtant 1, 2, 3 & </s> <s xml:id="echoid-s8239" xml:space="preserve">4.</s> <s xml:id="echoid-s8240" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8241" xml:space="preserve">Ariſtote rapporte encore vn@autre <lb/>priuilege du nombre denaire, à ſçauoir <lb/>qu’il a dix proportions, ou analogies, <lb/>dans leſquelles 4. </s> <s xml:id="echoid-s8242" xml:space="preserve">cubes ſont accõplis, <lb/>ce qui eſt ſi mal aiſé à expliquer, que <lb/>Pierre de Appono y a trauaillé 4. </s> <s xml:id="echoid-s8243" xml:space="preserve">ans, <lb/>au bout deſquels il dit, qu’vne lumiere <lb/>particuliere luy feiſt conceuoir que dix <lb/>fois dix, c’eſt à dire 100. </s> <s xml:id="echoid-s8244" xml:space="preserve">contiennent <lb/>les 4. </s> <s xml:id="echoid-s8245" xml:space="preserve">premiers cubes, à ſçauoir 1, 8, 27, <lb/>& </s> <s xml:id="echoid-s8246" xml:space="preserve">64, leſquels eſtant adiouſtez font <lb/>cent: </s> <s xml:id="echoid-s8247" xml:space="preserve">mais outre qu’il n’explique pas, <lb/>comment le nõbre denaire contiĕt ces <lb/>4. </s> <s xml:id="echoid-s8248" xml:space="preserve">cubes, & </s> <s xml:id="echoid-s8249" xml:space="preserve">qu’Ariſtote ne parle pas du <lb/>nombre de cent, mais de celuy de 10. </s> <s xml:id="echoid-s8250" xml:space="preserve">il <lb/>ne mõſtre pas comment ce nombre cõ-<lb/>tient 10. </s> <s xml:id="echoid-s8251" xml:space="preserve">analogies, que l’on pourroit <lb/>expliquer des 10. </s> <s xml:id="echoid-s8252" xml:space="preserve">termes qui ſe ſuiuent <lb/>en progreſſiõ Gernetrique multiple en <lb/>commençant par l’vnité: </s> <s xml:id="echoid-s8253" xml:space="preserve">par exemple <pb o="209" file="00592" n="591" rhead="Preludes de l’Harmonie."/> de ceux-cy, 1, 2, 4, 8, 16, 32, 64, 128, <lb/>256, & </s> <s xml:id="echoid-s8254" xml:space="preserve">512, dont le premier, le 4, le 7, & </s> <s xml:id="echoid-s8255" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s8256" xml:space="preserve">le dernier ſont 4. </s> <s xml:id="echoid-s8257" xml:space="preserve">cubes, par le 8. </s> <s xml:id="echoid-s8258" xml:space="preserve">du <lb/>9. </s> <s xml:id="echoid-s8259" xml:space="preserve">des élemens, s’il eſtoit ſeulement <lb/>queſtion de 10. </s> <s xml:id="echoid-s8260" xml:space="preserve">termes analogiques, & </s> <s xml:id="echoid-s8261" xml:space="preserve"><lb/>proportionels: </s> <s xml:id="echoid-s8262" xml:space="preserve">mais puis qu’Ariſtote <lb/>parle des 10. </s> <s xml:id="echoid-s8263" xml:space="preserve">analogies, il faut les trou-<lb/>uer dans le nombre denaire, ou confeſ-<lb/>ſer qu’il n’a pas parlé proprement, ou <lb/>qu’il n’a pas bien entendu le mot d’a-<lb/>nalogie, car il faut 12. </s> <s xml:id="echoid-s8264" xml:space="preserve">termes pour fai-<lb/>re 10. </s> <s xml:id="echoid-s8265" xml:space="preserve">analogies.</s> <s xml:id="echoid-s8266" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8267" xml:space="preserve">C’eſt pourquoy l’õne peut expliquer <lb/>le ſens de ce Probleſme pris à la rigueut <lb/>qu’en diſant que les 10. </s> <s xml:id="echoid-s8268" xml:space="preserve">Analogies cõ-<lb/>priſes par le nombre denaire ſont cel-<lb/>les qui ont les 10. </s> <s xml:id="echoid-s8269" xml:space="preserve">nombres qu’il con-<lb/>tient, qui ſont les racines, & </s> <s xml:id="echoid-s8270" xml:space="preserve">la vertu <lb/>des 10. </s> <s xml:id="echoid-s8271" xml:space="preserve">analogies qui ſuiuent, dont la <lb/>premiere eſt de l’vnité, qui eſt ſa raci-<lb/>ne, ſon quarré & </s> <s xml:id="echoid-s8272" xml:space="preserve">ſon cube: </s> <s xml:id="echoid-s8273" xml:space="preserve">la 2. </s> <s xml:id="echoid-s8274" xml:space="preserve">eſt de <lb/>la meſme vnité, qui ſert touſiours de <lb/>premier terme à chaque proportion, <lb/>comme l’on void icy 1; </s> <s xml:id="echoid-s8275" xml:space="preserve">1, 1: </s> <s xml:id="echoid-s8276" xml:space="preserve">1, 2, 4: </s> <s xml:id="echoid-s8277" xml:space="preserve">1, 3, <lb/>9: </s> <s xml:id="echoid-s8278" xml:space="preserve">1, 4, 16: </s> <s xml:id="echoid-s8279" xml:space="preserve">1, 5, 25: </s> <s xml:id="echoid-s8280" xml:space="preserve">1, 6, 36: </s> <s xml:id="echoid-s8281" xml:space="preserve">1, 7, 49; <lb/></s> <s xml:id="echoid-s8282" xml:space="preserve">1, 8, 64: </s> <s xml:id="echoid-s8283" xml:space="preserve">1, 9, 81: </s> <s xml:id="echoid-s8284" xml:space="preserve">1, 10, 100.</s> <s xml:id="echoid-s8285" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8286" xml:space="preserve">Par où l’on reconnoiſt que la dernie-<lb/>re analogie ſe termine au quarré de 10.</s> <s xml:id="echoid-s8287" xml:space="preserve"> <pb o="210" file="00593" n="592" rhead="Preludes de l’Harmonie."/> & </s> <s xml:id="echoid-s8288" xml:space="preserve">que le quaternaire contient les 4. </s> <s xml:id="echoid-s8289" xml:space="preserve">ra-<lb/>cines des 4. </s> <s xml:id="echoid-s8290" xml:space="preserve">cubes, qui font auſſi le nõ-<lb/>bre de 100. </s> <s xml:id="echoid-s8291" xml:space="preserve">lequel eſt contenu dans 4. <lb/></s> <s xml:id="echoid-s8292" xml:space="preserve">comme dans ſa ſource, & </s> <s xml:id="echoid-s8293" xml:space="preserve">dans ſon ori-<lb/>gine. </s> <s xml:id="echoid-s8294" xml:space="preserve">Or ie veux encore remarquer <lb/>quelques autres choſes du nõbre qua-<lb/>ternaire, & </s> <s xml:id="echoid-s8295" xml:space="preserve">du denaire: </s> <s xml:id="echoid-s8296" xml:space="preserve">par exemple, <lb/>que la premiere, ou la moindre partie <lb/>de 4. </s> <s xml:id="echoid-s8297" xml:space="preserve">eſtant adiouſtée à 4. </s> <s xml:id="echoid-s8298" xml:space="preserve">fait autant <lb/>que ſes 2. </s> <s xml:id="echoid-s8299" xml:space="preserve">autres parties du milieu 2. </s> <s xml:id="echoid-s8300" xml:space="preserve">& </s> <s xml:id="echoid-s8301" xml:space="preserve"><lb/>3. </s> <s xml:id="echoid-s8302" xml:space="preserve">adiouſtées enſemble, à ſçauoir 5. </s> <s xml:id="echoid-s8303" xml:space="preserve">& </s> <s xml:id="echoid-s8304" xml:space="preserve"><lb/>conſequemment que ces 2. </s> <s xml:id="echoid-s8305" xml:space="preserve">additions <lb/>reſtituent le nombre denaire. </s> <s xml:id="echoid-s8306" xml:space="preserve">En apres, <lb/>que 4. </s> <s xml:id="echoid-s8307" xml:space="preserve">eſt ſequitierce de ſes parties ali-<lb/>quotes, & </s> <s xml:id="echoid-s8308" xml:space="preserve">conſequemment qu’il con-<lb/>tient la raiſon de la Quarte, ou du Te-<lb/>trachorde, dont nous auons parlé: </s> <s xml:id="echoid-s8309" xml:space="preserve">3. </s> <s xml:id="echoid-s8310" xml:space="preserve"><lb/>que toutes ſes parties, à ſçauoir 1, 2, & </s> <s xml:id="echoid-s8311" xml:space="preserve"><lb/>3. </s> <s xml:id="echoid-s8312" xml:space="preserve">eſtant adjouſtées font 6. </s> <s xml:id="echoid-s8313" xml:space="preserve">qui eſt ſeſ-<lb/>quialtere de 4; </s> <s xml:id="echoid-s8314" xml:space="preserve">& </s> <s xml:id="echoid-s8315" xml:space="preserve">parce que ces 2. </s> <s xml:id="echoid-s8316" xml:space="preserve">rai-<lb/>ſons font la raiſon de l’Octaue, l’õ peut <lb/>dire que 4. </s> <s xml:id="echoid-s8317" xml:space="preserve">repreſente toute la Muſi-<lb/>que.</s> <s xml:id="echoid-s8318" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8319" xml:space="preserve">Quant à 10. </s> <s xml:id="echoid-s8320" xml:space="preserve">(qui contient tellement <lb/>tous les autres nombres, que ceux qui <lb/>ſont par delà ne ſont autre choſe que la <lb/>repetition des precedens) ſes parties <lb/>cõſtitutiues, (c’eſt à dire toutes les par- <pb o="211" file="00594" n="593" rhead="Preludes de l’Harmonie."/> ties qu’il contient) eſtant adiouſtées <lb/>font 45. </s> <s xml:id="echoid-s8321" xml:space="preserve">qui eſt quadruple ſeſquialtere <lb/>de 10. </s> <s xml:id="echoid-s8322" xml:space="preserve">lequel eſtant adiouſté auſdites <lb/>parties fait 55. </s> <s xml:id="echoid-s8323" xml:space="preserve">qui eſt ſeſquitiere de 45. <lb/></s> <s xml:id="echoid-s8324" xml:space="preserve">mais il eſt ſeſquiquarte de ſesparties ali-<lb/>quotes qui font 8. </s> <s xml:id="echoid-s8325" xml:space="preserve">auſquelles eſtant ad-<lb/>iouſté, il fait 18. </s> <s xml:id="echoid-s8326" xml:space="preserve">qui eſt double ſeſqui-<lb/>quarte de 9. </s> <s xml:id="echoid-s8327" xml:space="preserve">à 4.</s> <s xml:id="echoid-s8328" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8329" xml:space="preserve">Or encore que l’on ne puiſſe trouuer <lb/>la raiſon des choſes naturelles dans les <lb/>nombres, parce que nous ne connoiſ-<lb/>ſons pas les principes naturels, ils ont <lb/>neantmoins de merueilleuſes rencon-<lb/>tres, qui peuuent ſeruir de conduite à <lb/>l’eſprit, pour contempler la nature des <lb/>choſes, car chaſque nombre a quelque <lb/>proprieté particuliere, qui ne peut con-<lb/>uenir aux autres, c’eſt pourquoy ilpeut <lb/>ſeruir de charactere pour repreſenter <lb/>chaque eſpece, & </s> <s xml:id="echoid-s8330" xml:space="preserve">chaque indiuidu.</s> <s xml:id="echoid-s8331" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8332" xml:space="preserve">Par exemple, l’vnité eſt propre pour <lb/>nous faire conceuoir la Diuiniré, le nõ-<lb/>bre 120. </s> <s xml:id="echoid-s8333" xml:space="preserve">dont les parties aliquotes font <lb/>le double, c’eſt à dire 240. </s> <s xml:id="echoid-s8334" xml:space="preserve">& </s> <s xml:id="echoid-s8335" xml:space="preserve">le meſme <lb/>240. </s> <s xml:id="echoid-s8336" xml:space="preserve">dont les parties aliquotes font le <lb/>triple, vn moins, & </s> <s xml:id="echoid-s8337" xml:space="preserve">tous les autres <lb/>nombres abondans peuuent ſignifier <lb/>les natures les plus fecondes, & </s> <s xml:id="echoid-s8338" xml:space="preserve">les nõ- <pb o="212" file="00595" n="594" rhead="Preludes de l’Harmonie."/> bres 220, & </s> <s xml:id="echoid-s8339" xml:space="preserve">284 peuuent ſignifier la <lb/>parfaite amitié de 2. </s> <s xml:id="echoid-s8340" xml:space="preserve">perſonnes, dautãt <lb/>que les parties aliquotes de 220. </s> <s xml:id="echoid-s8341" xml:space="preserve">font <lb/>284. </s> <s xml:id="echoid-s8342" xml:space="preserve">& </s> <s xml:id="echoid-s8343" xml:space="preserve">celles de 284. </s> <s xml:id="echoid-s8344" xml:space="preserve">reſtituent 220. <lb/></s> <s xml:id="echoid-s8345" xml:space="preserve">comme ſi ces deux nombres n’eſtoient <lb/>qu’vne meſme choſe.</s> <s xml:id="echoid-s8346" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8347" xml:space="preserve">Or il importe fort peu ſi ie n’ay pas <lb/>rencontré la vraye raiſon pour laquelle <lb/>ils ont pluſtoſt choiſi ce nõbre de chor-<lb/>des qu’vn plus grand, dautãt que quel-<lb/>que nombre que l’on en prenne, le tout <lb/>reuient à vne meſme choſe, pourueu <lb/>que l’Octaue, & </s> <s xml:id="echoid-s8348" xml:space="preserve">les autres conſonances <lb/>ſoient parfaites.</s> <s xml:id="echoid-s8349" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div201" type="section" level="1" n="165"> <head xml:id="echoid-head268" xml:space="preserve"><emph style="sc">Qvestion</emph> X.</head> <head xml:id="echoid-head269" style="it" xml:space="preserve">A ſçauoir ſi les ſons forment les mœurs, com-<lb/>me ſuppoſe Ariſtote dans le 27. Probleſ-<lb/>me de la 19. ſection; & s’ils ſont plus <lb/>propres à exciter les paßions de l’homme, <lb/>que les couleurs, les ſaueurs, & les odeurs, <lb/>& c. & pourquoy les ſons ont cette vertu, <lb/>& cette puiſſance.</head> <p> <s xml:id="echoid-s8350" xml:space="preserve"><emph style="bf">A</emph>Riſtote nous donne ſuiet de diſ-<lb/>courir de cette<unsure/> matiere, lors qu’il <pb o="213" file="00596" n="595" rhead="Preludes de l’Harmonie."/> dit au 27. </s> <s xml:id="echoid-s8351" xml:space="preserve">Probleſme de la 19. </s> <s xml:id="echoid-s8352" xml:space="preserve">ſection <lb/>que de tous les obiects des ſens il n’y a <lb/>que le ſon qui ſoit propre pour former <lb/>les mœurs, à raiſon qu’il conſiſte dans <lb/>vn mouuement, qui ne ſe remarque pas <lb/>dans les couleurs, dans les odeurs, ou <lb/>dans les ſaueurs, & </s> <s xml:id="echoid-s8353" xml:space="preserve">que les actions ont <lb/>vn ſemblable mouuement, de ſorte <lb/>qu’il prend l’imitation pour fondemĕt <lb/>de ſa ſolution, qui doit, ce me ſemble, <lb/>s’expliquer en cette maniere. </s> <s xml:id="echoid-s8354" xml:space="preserve">Le mou-<lb/>uement des ſons eſt ſemblable aux <lb/>actions, par le moyen deſquelles on ac-<lb/>quiert les habitudes de la vertu, & </s> <s xml:id="echoid-s8355" xml:space="preserve">par <lb/>leſquelles on eſt cõduit à la Morale; </s> <s xml:id="echoid-s8356" xml:space="preserve">& </s> <s xml:id="echoid-s8357" xml:space="preserve"><lb/>conſequemment ils ſont propres pour <lb/>exprimer, & </s> <s xml:id="echoid-s8358" xml:space="preserve">pour former, & </s> <s xml:id="echoid-s8359" xml:space="preserve">conſeruer <lb/>les mœurs, puiſque chaque choſe eſt <lb/>engendrée, & </s> <s xml:id="echoid-s8360" xml:space="preserve">conſeruee par ſon ſem-<lb/>blable.</s> <s xml:id="echoid-s8361" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8362" xml:space="preserve">En effet l’on experimente que nos <lb/>actions ſe font par le mouuement, qui <lb/>produit vne habitude, lors qu’il eſt ſou-<lb/>uent repeté: </s> <s xml:id="echoid-s8363" xml:space="preserve">de là vient que l’on apprĕd <lb/>à chanter par habitude: </s> <s xml:id="echoid-s8364" xml:space="preserve">ce qui n’ar-<lb/>riue pas aux autres ſens, qui ſuppoſent <lb/>leurs obiects tous faits, mais chacun <lb/>peut chãter, & </s> <s xml:id="echoid-s8365" xml:space="preserve">conſequĕment peut for- <pb o="214" file="00597" n="596" rhead="Preludes de l’Harmonie."/> mer des obiects propres pour ſon oreil-<lb/>le: </s> <s xml:id="echoid-s8366" xml:space="preserve">ce qui n’arriue pas aux couleurs, <lb/>oux odeurs, & </s> <s xml:id="echoid-s8367" xml:space="preserve">aux ſaueurs, qui ſont <lb/>hors de nous, & </s> <s xml:id="echoid-s8368" xml:space="preserve">qui ne ſont pas dans <lb/>hoſtre pouuoir: </s> <s xml:id="echoid-s8369" xml:space="preserve">De là vient que nous <lb/>aymons mieux les ſons, parce qu’ils dé-<lb/>pendent, ou qu’ils peuuent dependre <lb/>de nous, cette dependance nous for-<lb/>çant quaſi à ay mer noz effects, comme <lb/>l’on experimente aux parens, qui ay-<lb/>mĕt beaucoup plus leurs enfans, quoy <lb/>que difformes, que ceux des autres, en-<lb/>core qu’ils ſoient plus beaux. </s> <s xml:id="echoid-s8370" xml:space="preserve">Ce qui <lb/>arriue ſemblablement à ceux qui font <lb/>des liutes, des tableaux, ou d’auties ou-<lb/>urages à raiſon qu’ils dépendent d’eux: <lb/></s> <s xml:id="echoid-s8371" xml:space="preserve">or l’on remarque cét amour, & </s> <s xml:id="echoid-s8372" xml:space="preserve">cette <lb/>affection que l’on a pour les ſons, lors <lb/>que l’on chante quelquefois ſans pen-<lb/>ſer à ce que l’on fait, quoy que l’on imi-<lb/>te les chants que l’on a oüys.</s> <s xml:id="echoid-s8373" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8374" xml:space="preserve">Quant aux couleurs, on les tient qua-<lb/>ſi in differentes, à raiſon qu’elles ne de-<lb/>pendent pas de nous, & </s> <s xml:id="echoid-s8375" xml:space="preserve">qu’elles n’ont <lb/>nul mouuemĕt ſemblable à noz actiõs, <lb/>& </s> <s xml:id="echoid-s8376" xml:space="preserve">à noz paſſions, comme ont les ſons, <lb/>qui ſeruent à exprimer les douleurs, les <lb/>plaiſirs, la cholere, & </s> <s xml:id="echoid-s8377" xml:space="preserve">les auttes affe- <pb o="215" file="00598" n="597" rhead="Preludes de l’Harmonie."/> ctions de l’homme, & </s> <s xml:id="echoid-s8378" xml:space="preserve">des animaux. </s> <s xml:id="echoid-s8379" xml:space="preserve">Par <lb/>où l’on peut entĕdre pourquoy les An-<lb/>ciens faiſoient chanter leurs Loix, dont <lb/>il eſt parlé au 15. </s> <s xml:id="echoid-s8380" xml:space="preserve">& </s> <s xml:id="echoid-s8381" xml:space="preserve">au 28. </s> <s xml:id="echoid-s8382" xml:space="preserve">Probleſme <lb/>de la ſectiõ 19 ceſt pourquoy ils appel-<lb/>loient leurs chanſons des Loix, à raiſon <lb/>que l’on retient plus ayſément ce qui ſe <lb/>chante, parce que le mouuement du <lb/>chant eſtant plus grand, & </s> <s xml:id="echoid-s8383" xml:space="preserve">mieux reglé <lb/>que celuy de la parolle, dont on vſe or-<lb/>dinairement dans les diſcours, fait vne <lb/>plus forte impreſſion ſur l’eſprit des au-<lb/>diteurs, & </s> <s xml:id="echoid-s8384" xml:space="preserve">particulierement ſur les en-<lb/>fans, auſquels ont peut apprendre les <lb/>Loix auant qu’ils les puiſſent compren-<lb/>dre parraiſon, parce que leur eſprit, & </s> <s xml:id="echoid-s8385" xml:space="preserve"><lb/>leur memoire eſt ſemblable à vne ta-<lb/>ble d’attente, laquelle eſt ſuſceptible <lb/>de toutes ſortes de couleurs.</s> <s xml:id="echoid-s8386" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8387" xml:space="preserve">De là vient qu’ils retiĕnent fort bien <lb/>ce qu’ils ont appris en leur ieuneſſe, dõt <lb/>les parens, & </s> <s xml:id="echoid-s8388" xml:space="preserve">les maiſtres doiuent vſer <lb/>à leur aduantage, afin de leur imprimer <lb/>les Loix, & </s> <s xml:id="echoid-s8389" xml:space="preserve">la crainte de Dieu, qui doit <lb/>eſtre le fondement de toute leur vie, & </s> <s xml:id="echoid-s8390" xml:space="preserve"><lb/>de leurs actions, puis qu’elle eſt la fon-<lb/>taine de la vie, dans les Prouerbes cha-<lb/>pit. </s> <s xml:id="echoid-s8391" xml:space="preserve">14. </s> <s xml:id="echoid-s8392" xml:space="preserve">& </s> <s xml:id="echoid-s8393" xml:space="preserve">qu’elle eſt le comm<unsure/>encement <pb o="216" file="00599" n="598" rhead="Preludes de l’Harmonie."/> de la ſageſſe. </s> <s xml:id="echoid-s8394" xml:space="preserve">Or puiſque les mœurs ſe <lb/>forment par les actions, & </s> <s xml:id="echoid-s8395" xml:space="preserve">que les actiõs <lb/>ſe font par des mouuemens, il faut vſer <lb/>des ſons, qui imitent leſdits mouue-<lb/>mens: </s> <s xml:id="echoid-s8396" xml:space="preserve">ce qui eſt difficile à connoiſtre, <lb/>& </s> <s xml:id="echoid-s8397" xml:space="preserve">à executer, car il faut ſçauoir les <lb/>chordes, qui sõt plus propres à toucher <lb/>l’eſprit les vnes que les autres, & </s> <s xml:id="echoid-s8398" xml:space="preserve">com-<lb/>bien de fois chacune doit eſtre touchée <lb/>pour paruenir au deſſein que l’õ ſe pro-<lb/>poſe, & </s> <s xml:id="echoid-s8399" xml:space="preserve">conſequemment quelles chor-<lb/>des il faut laiſſer, & </s> <s xml:id="echoid-s8400" xml:space="preserve">de quels interual-<lb/>les on doit vſer, car les vnes ſont pro-<lb/>pres à l’amour, les autres à la triſteſſe, & </s> <s xml:id="echoid-s8401" xml:space="preserve"><lb/>les autres à la ioye, & </s> <s xml:id="echoid-s8402" xml:space="preserve">à la cholere.</s> <s xml:id="echoid-s8403" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8404" xml:space="preserve">Mais auant que de paſſer plus outre, <lb/>il faut remarquer que la queſtion pro-<lb/>poſée par Ariſtore peut eſtre reuoquée <lb/>en doute, parce que l’on experimente <lb/>que les couleurs, les ſaueurs, & </s> <s xml:id="echoid-s8405" xml:space="preserve">les <lb/>odeurs ont vn grand pouuoir ſur nos <lb/>paſſions, car comme vn tableau, ou vn <lb/>viſage triſte, & </s> <s xml:id="echoid-s8406" xml:space="preserve">mal proportionné nous <lb/>faſche, & </s> <s xml:id="echoid-s8407" xml:space="preserve">nous déplaiſt, de meſme les <lb/>excellents tableaux, & </s> <s xml:id="echoid-s8408" xml:space="preserve">les beaux viſa-<lb/>ges @@us rauiſſent de contentement, & </s> <s xml:id="echoid-s8409" xml:space="preserve"><lb/>l’on rencontre des rableaux du viſage <lb/>de noſtre Sauueur, que l’on ne peut lõg- <pb o="217" file="00600" n="599" rhead="Preludes de l’Harmonie."/> temps regarder ſans conçeuoirvne grã-<lb/>de reuerence accompagnée de quel-<lb/>que ſorte de crainte, & </s> <s xml:id="echoid-s8410" xml:space="preserve">de frayeur: </s> <s xml:id="echoid-s8411" xml:space="preserve">ce <lb/>qui arriue ſemblablement lors que l’on <lb/>enuiſage de certaines perſonnes, dont <lb/>le front, les yeux, & </s> <s xml:id="echoid-s8412" xml:space="preserve">les autres parties <lb/>du viſage ſont remplies d’vne ſi grande <lb/>maieſte, & </s> <s xml:id="echoid-s8413" xml:space="preserve">ont vne ſi grande puiſſance, <lb/>qu’ils impriment tels mouuemĕs qu’ils <lb/>veulent, ſoit de crainte, & </s> <s xml:id="echoid-s8414" xml:space="preserve">de reueren-<lb/>ce, ſoit de réioüiſſance, ou de triſteſſe, <lb/>ſur ceux qui les regardĕt attentiuemĕt. <lb/></s> <s xml:id="echoid-s8415" xml:space="preserve">De ſorte que l’on peut dire que l’im-<lb/>preſſion qui ſe fait dans l’ame par les <lb/>yeux eſt du moins auſſi puiſſante que <lb/>celle qui ſe fait par les oreilles. </s> <s xml:id="echoid-s8416" xml:space="preserve">L’on ex-<lb/>perimente ſemblablement que les ſa-<lb/>ueurs, & </s> <s xml:id="echoid-s8417" xml:space="preserve">les odeurs ont vne grande <lb/>puiſſance ſur l’eſprit, car la ſaueur ame-<lb/>re, & </s> <s xml:id="echoid-s8418" xml:space="preserve">l’odeur puante nous faſchent ex-<lb/>tremément: </s> <s xml:id="echoid-s8419" xml:space="preserve">& </s> <s xml:id="echoid-s8420" xml:space="preserve">ſi l’on remarquoit auſſi <lb/>exactement les differens degrez des ſa-<lb/>ueurs depuis la plus amere, & </s> <s xml:id="echoid-s8421" xml:space="preserve">la plus <lb/>faſcheuſe iuſques à la plus douce, & </s> <s xml:id="echoid-s8422" xml:space="preserve">la <lb/>plus agreable, comme l’õ remarque les <lb/>differens degrez des ſyſtemes de la Mu-<lb/>ſique, l’on trouueroit, peut-eſtre, qu’el-<lb/>les ont des effects auſſi grands ſur l’eſ- <pb o="218" file="00601" n="600" rhead="Preludes de l’Harmonie."/> prit que les ſons, & </s> <s xml:id="echoid-s8423" xml:space="preserve">les couleurs, & </s> <s xml:id="echoid-s8424" xml:space="preserve">con-<lb/>ſequemment on pourroit eſtablir des <lb/>raiſons, & </s> <s xml:id="echoid-s8425" xml:space="preserve">des proportions harmoni-<lb/>ques entre les ſaueurs, & </s> <s xml:id="echoid-s8426" xml:space="preserve">les odeurs, cõ-<lb/>me l’on fait entre les ſons.</s> <s xml:id="echoid-s8427" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8428" xml:space="preserve">En effet les differentes odeurs ap-<lb/>portent de grands changemens aux eſ-<lb/>prits, comme l’on experimente dans <lb/>les Egliſes, dont les ſuffumigations, & </s> <s xml:id="echoid-s8429" xml:space="preserve"><lb/>les encenſemĕs excitent à la deuotion: <lb/></s> <s xml:id="echoid-s8430" xml:space="preserve">& </s> <s xml:id="echoid-s8431" xml:space="preserve">dans les Hoſpitaux, dans les priſons, <lb/>& </s> <s xml:id="echoid-s8432" xml:space="preserve">dans les autres lieux renfermez, qui <lb/>rendent les eſprits lents, triſtes, & </s> <s xml:id="echoid-s8433" xml:space="preserve">he-<lb/>betez, & </s> <s xml:id="echoid-s8434" xml:space="preserve">qui font mal au cœur: </s> <s xml:id="echoid-s8435" xml:space="preserve">& </s> <s xml:id="echoid-s8436" xml:space="preserve">lors <lb/>que l’õ eſt au milieu d’vn parterre plein <lb/>d’œillets, de mariolaine, de iaſmin, de <lb/>giroflées, & </s> <s xml:id="echoid-s8437" xml:space="preserve">de roſes, la vapeur, & </s> <s xml:id="echoid-s8438" xml:space="preserve">les <lb/>douces fuméesde ces fleurs qui embau-<lb/>ment l’air, charment l’eſprit de leur <lb/>douceur, & </s> <s xml:id="echoid-s8439" xml:space="preserve">l’enchantent auſſi douce-<lb/>ment que les concerts les plus rauiſ-<lb/>ſants: </s> <s xml:id="echoid-s8440" xml:space="preserve">de ſorte que les odeurs, auſſi bien <lb/>que les ſaueurs, & </s> <s xml:id="echoid-s8441" xml:space="preserve">les couleurs, peuuent <lb/>diſputer, & </s> <s xml:id="echoid-s8442" xml:space="preserve">débatre de la préeminence, <lb/>& </s> <s xml:id="echoid-s8443" xml:space="preserve">de la puiſſance qu’elles ont ſur l’eſ-<lb/>prit de l’homme contre les ſons; </s> <s xml:id="echoid-s8444" xml:space="preserve">bien <lb/>qu’ils ſoient beaucoup plus excellents, <lb/>ſil’on conſidere le diſcours, auſquels ils <pb o="219" file="00602" n="601" rhead="Preludes de l’Harmonie."/> ſeruent de matiere, mais nous parlons <lb/>icy des ſons, & </s> <s xml:id="echoid-s8445" xml:space="preserve">non de la parolle.</s> <s xml:id="echoid-s8446" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8447" xml:space="preserve">Il faut neantmoins conclurre que les <lb/>ſons, & </s> <s xml:id="echoid-s8448" xml:space="preserve">les chants ſont plus propres que <lb/>les obiects des autres ſens pour exciter <lb/>les paſſions, dont Felix Accarombon <lb/>rapporte la cauſe aux differents mou-<lb/>uemens, c’eſt à dire aux meſures lõgues, <lb/>& </s> <s xml:id="echoid-s8449" xml:space="preserve">briefues des chanſons, à raiſon que <lb/>le mélange des temps imite les actions <lb/>qui produiſent les paſſions. </s> <s xml:id="echoid-s8450" xml:space="preserve">Mais la <lb/>ſeule melodie a de la force ſur les paſ-<lb/>ſions, encore que les differentes notes <lb/>ne changent point de meſure, comme <lb/>l’on experimĕte à l’interualle de la Sex-<lb/>te, & </s> <s xml:id="echoid-s8451" xml:space="preserve">de la Tierce mineure, qui exci-<lb/>tent la triſteſſe, & </s> <s xml:id="echoid-s8452" xml:space="preserve">à tous les chants qui <lb/>finiſſent par les demitõs, ou par les die-<lb/>ſes: </s> <s xml:id="echoid-s8453" xml:space="preserve">quoy qu’il ſoit certain que les dif-<lb/>ferentes meſures adiouſtent vne gran-<lb/>de force à la melodie cõme nous auons <lb/>dit ailleurs, & </s> <s xml:id="echoid-s8454" xml:space="preserve">que la rythmique ayt <lb/>toure ſeule beaucoup de puiſſance ſur <lb/>l’eſprit ſans la melodie, comme l’on re-<lb/>marque aux battemens du tambour, & </s> <s xml:id="echoid-s8455" xml:space="preserve"><lb/>dans pluſieurs autres mouuemens.</s> <s xml:id="echoid-s8456" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8457" xml:space="preserve">Or la raiſon de cette puiſſance que <lb/>les ſons imprimĕt ſur l’eſprit, doit eſtre <pb o="220" file="00603" n="602" rhead="Preludes de l’Harmonie."/> priſe des differens mouuemens, dont <lb/>ils frappent le tympan, ou la membra-<lb/>ne de l’oreille, & </s> <s xml:id="echoid-s8458" xml:space="preserve">conſequemment les <lb/>eſprits de l’oüye: </s> <s xml:id="echoid-s8459" xml:space="preserve">par exemple, l@rs que <lb/>l’on chante par l’interualle de la Sexte <lb/>mineure en montant pour exciter la <lb/>triſteſſe, les eſprits ſont premierement <lb/>frappez 5. </s> <s xml:id="echoid-s8460" xml:space="preserve">fois par le ſon graue, & </s> <s xml:id="echoid-s8461" xml:space="preserve">puis <lb/>8. </s> <s xml:id="echoid-s8462" xml:space="preserve">fois dans vn temps égal par le ſon ai-<lb/>gu, c’eſt pourquoy il faudroit conſide-<lb/>rer pourquoy 8. </s> <s xml:id="echoid-s8463" xml:space="preserve">coups, ou le battemĕt, <lb/>dont la force eſt comme 8, a la puiſſan-<lb/>ce d’exciter la triſteſſe, lors qu’il ſuit im-<lb/>mediatement apres le battement, dont <lb/>la force eſt comme 5: </s> <s xml:id="echoid-s8464" xml:space="preserve">ce que l’on peut <lb/>ſemblablement conſiderer dans les au-<lb/>tres interualles.</s> <s xml:id="echoid-s8465" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8466" xml:space="preserve">Quelques-vns ſimaginent que les <lb/>Anciĕs ont ſçeu quelles chordes il fal-<lb/>loit toucher les vnes apres les autres <lb/>pour exciter toutes ſortes de paſſions, <lb/>& </s> <s xml:id="echoid-s8467" xml:space="preserve">qu’ils auoient eſtably des loix pour <lb/>ce ſuier, parce qu’ils liſent dans Platon, <lb/>& </s> <s xml:id="echoid-s8468" xml:space="preserve">dans Ariſtote qu’ils auoient vne ma-<lb/>niere de Muſique pour exciter la cho-<lb/>lere, & </s> <s xml:id="echoid-s8469" xml:space="preserve">vn autre pour l’appaiſer: </s> <s xml:id="echoid-s8470" xml:space="preserve">& </s> <s xml:id="echoid-s8471" xml:space="preserve">que <lb/>Timothée mettoit Alexandre le Grãd <lb/>en cholere quand il chantoit, ou qu’il <pb o="221" file="00604" n="603" rhead="Preludes de l’Harmonie."/> touchoit la Harpe, ou d’autres inſtru-<lb/>mens: </s> <s xml:id="echoid-s8472" xml:space="preserve">mais nous ne voyons nul veſtige <lb/>dans ces Philoſophes qui puiſſe tãt ſoit <lb/>peu perſuader qu’ils ayent connu les <lb/>paſſions, & </s> <s xml:id="echoid-s8473" xml:space="preserve">leurs mouuemens iuſques <lb/>à vn tel point, qu’ils ayent peu eſtablir <lb/>des ſons, ou des chants pour émouuoir, <lb/>& </s> <s xml:id="echoid-s8474" xml:space="preserve">pour appaiſer chaque paſſion.</s> <s xml:id="echoid-s8475" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8476" xml:space="preserve">En effect, ſil y euſt eu des genres, <lb/>des eſpeces, ou des modes de Muſique <lb/>du temps de Platon, ou d’Ariſtore, dont <lb/>les effects euſſent eſté ſi ſignalez, & </s> <s xml:id="echoid-s8477" xml:space="preserve">qui <lb/>euſſent eu vn tel aſcendant ſur les paſ-<lb/>ſions, & </s> <s xml:id="echoid-s8478" xml:space="preserve">ſur l’eſprit des auditeurs, ils <lb/>euſſent beaucoup mieux fait d’enſei-<lb/>gner cét art aux hommes, que la Mo-<lb/>rale, & </s> <s xml:id="echoid-s8479" xml:space="preserve">la Politique, dont ils ont traité, <lb/>car il n’y a point de Rethorique aſſez <lb/>puiſſante pour faire quitter l’enuie, la <lb/>cholere, l’amour, & </s> <s xml:id="echoid-s8480" xml:space="preserve">les autres paſſions, <lb/>lors qu’elles ſont enracinées dans l’eſ-<lb/>prit; </s> <s xml:id="echoid-s8481" xml:space="preserve">& </s> <s xml:id="echoid-s8482" xml:space="preserve">les Anciens confeſſent eux-<lb/>meſmes qu’ils n’ont point trouué de re-<lb/>medes pour appaiſer les grandes triſteſ-<lb/>ſes: </s> <s xml:id="echoid-s8483" xml:space="preserve">& </s> <s xml:id="echoid-s8484" xml:space="preserve">ſils euſſent eu des ſons, & </s> <s xml:id="echoid-s8485" xml:space="preserve">des <lb/>chants pour ce ſujet, ils n’euſſent eu nul <lb/>beſoin de la fiction de leur <emph style="sc">N</emph>epenthe, & </s> <s xml:id="echoid-s8486" xml:space="preserve"><lb/>de leurs boiſſons imaginaires, pour ap- <pb o="222" file="00605" n="604" rhead="Preludes de l’Harmonie."/> paiſer les douleurs, & </s> <s xml:id="echoid-s8487" xml:space="preserve">pour calmer les <lb/>paſſions. </s> <s xml:id="echoid-s8488" xml:space="preserve">Mais i’ay parié plus ample-<lb/>ment de cecy dans vn autre lieu, où i’ay <lb/>monſtré que nul des Anciens n’a mieux <lb/>entendu la Muſique que nous, afin que <lb/>l’on ne ſoit pas tellement préocupé de <lb/>leurs écrits, & </s> <s xml:id="echoid-s8489" xml:space="preserve">de leurs hiſtoires, que l’õ <lb/>ſuiue pluſtoſt leur imagination, & </s> <s xml:id="echoid-s8490" xml:space="preserve">leurs <lb/>fautes, que l’experience, & </s> <s xml:id="echoid-s8491" xml:space="preserve">la raiſon, <lb/>Carie ne doute nullement que la Mu-<lb/>ſique ne ſoit maintenant dans vne auſ-<lb/>ſi grande perfectiõ que celle des Grecs, <lb/>ſoit que l’on conſidere l’harmonie de <lb/>pluſieurs parties, ou la melodie, & </s> <s xml:id="echoid-s8492" xml:space="preserve">la <lb/>conduite d’vne ſeule voix, ou la gran-<lb/>deur, la bonté, la beauté, & </s> <s xml:id="echoid-s8493" xml:space="preserve">la multitu-<lb/>de des inſtrumens: </s> <s xml:id="echoid-s8494" xml:space="preserve">ſi ce n’eſt que l’on <lb/>die qu’ils auoient des voix plus nettes, <lb/>plus fortes, & </s> <s xml:id="echoid-s8495" xml:space="preserve">meilleures que nous: </s> <s xml:id="echoid-s8496" xml:space="preserve">ce <lb/>qu’il faudroit prouuer auant que de le <lb/>croire.</s> <s xml:id="echoid-s8497" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div202" type="section" level="1" n="166"> <head xml:id="echoid-head270" xml:space="preserve"><emph style="sc">Qvestion</emph> XI.</head> <head xml:id="echoid-head271" style="it" xml:space="preserve">A ſçauoir comme il faut compoſer les chan-<lb/>ſons, pour eſtre les plus excellentes de tou-<lb/>tes celles qui ſe peuuent imaginer.</head> <p> <s xml:id="echoid-s8498" xml:space="preserve"><emph style="bf">P</emph>Vis que la perfection de chaque <lb/>choſe conſiſte en ſon eſſence, en ſes <pb o="223" file="00606" n="605" rhead="Preludes de l’Harmonie."/> proprietez, & </s> <s xml:id="echoid-s8499" xml:space="preserve">en ſes accidens, & </s> <s xml:id="echoid-s8500" xml:space="preserve">que <lb/>ſon excellence doit eſtre meſurée ſelon <lb/>ſes principes, ou ſuiuant la fin, à laquel-<lb/>le elle eſt deſtinòe, ie dis que la chanſon <lb/>qui aura tout ce qui eſt requis à ſa per-<lb/>fectiõ, & </s> <s xml:id="echoid-s8501" xml:space="preserve">qui ſera la mieux proportion-<lb/>née à ſa fin ſera la plus excellente de <lb/>toutes.</s> <s xml:id="echoid-s8502" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8503" xml:space="preserve">Or elle aura toutes ſes parties, lors <lb/>qu’elle répondra parfaitement àla let-<lb/>tre & </s> <s xml:id="echoid-s8504" xml:space="preserve">au ſu@et que l’on prĕd; </s> <s xml:id="echoid-s8505" xml:space="preserve">& </s> <s xml:id="echoid-s8506" xml:space="preserve">ne pour-<lb/>ra iamais eſtre plus excellĕte que quãd <lb/>elle aura le ſuiet le plus excellent de <lb/>tous, qui conſiſte a décrire les grãdeurs <lb/>& </s> <s xml:id="echoid-s8507" xml:space="preserve">les loüanges de Dieu, & </s> <s xml:id="echoid-s8508" xml:space="preserve">l’amour & </s> <s xml:id="echoid-s8509" xml:space="preserve"><lb/>l’ardeur dont nous deuõs l’adorer eter-<lb/>nellement.</s> <s xml:id="echoid-s8510" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s8511" xml:space="preserve">D’où il eſt ayſé de conclurre, que tou-<lb/>tes les chãſons de Cour, qui n’ont point <lb/>d’autre ſuiet que les profanes, & </s> <s xml:id="echoid-s8512" xml:space="preserve">qui ne <lb/>contiennent autre choſe que les loüan-<lb/>ges des hommes, qui ne ſubſiſtent le <lb/>plus ſouuent que dans les flatteries, & </s> <s xml:id="echoid-s8513" xml:space="preserve"><lb/>qui n’ont point d’autre ſouſtieu que la <lb/>vanité & </s> <s xml:id="echoid-s8514" xml:space="preserve">le mĕſonge, ne peuuent eſtre <lb/>parfaites, puis que la verité leur mãque <lb/>ſans laquelle il n’y a nulle perfection, & </s> <s xml:id="echoid-s8515" xml:space="preserve"><lb/>quelles ſont priuées du ſuiet qui rauit <pb o="224" file="00607" n="606" rhead="Preludes de l’Harmonie."/> les Anges & </s> <s xml:id="echoid-s8516" xml:space="preserve">qui ſeruira d’vn entretien <lb/>eternel à tous les predeſtinez, & </s> <s xml:id="echoid-s8517" xml:space="preserve">les <lb/>bien-heureux. </s> <s xml:id="echoid-s8518" xml:space="preserve">Quant aux autres con-<lb/>ditions neceſſaires pour faire des chãts <lb/>& </s> <s xml:id="echoid-s8519" xml:space="preserve">des airs rauiſſans, i’en parleray dans <lb/>vn liure particulier, carie veux finir cet-<lb/>tuy-cy par ces vers qui sõt propres pour <lb/>chanter les loüanges de Dieu.</s> <s xml:id="echoid-s8520" xml:space="preserve"/> </p> <p style="it"> <s xml:id="echoid-s8521" xml:space="preserve">Triſte ennemy des belles choſes <lb/>Hyuer couronné de glaçons, <lb/>Eſté qui meurit les moiſſons, <lb/>Printemps qui fait fleurir les roſes, <lb/>Greſles, neiges, broüillards épais <lb/>Loüés le Seigneur à iamais <lb/>Celebrez ſon nom adorable, <lb/>Tout ce qu’il produit eſt parfait <lb/>Et cét vniuers admirable, (fait. <lb/></s> <s xml:id="echoid-s8522" xml:space="preserve">De ſon diuin pouuoir n’eſt qu’vn petit ef-</s> </p> <p style="it"> <s xml:id="echoid-s8523" xml:space="preserve">Theatre famcux des naufrages <lb/> <anchor type="figure" xlink:label="fig-00607-01a" xlink:href="fig-00607-01"/> Merdont les flots impetueux <lb/>Viennent d’vn pas reſpectueux <lb/>Baiſer le ſablon des riuages, <lb/>Creux & </s> <s xml:id="echoid-s8524" xml:space="preserve">vaſte empire du ven@ <lb/>Dont le calme eſt ſi deceuant, <lb/>Molle ceinture de laterre, <lb/>Lien de cent peuples diuers <lb/>Champ de la paix & </s> <s xml:id="echoid-s8525" xml:space="preserve">de la guerre, <lb/>Beniſſez à iamais l’ Autheur de l’vniuers.</s> <s xml:id="echoid-s8526" xml:space="preserve"/> </p> <div xml:id="echoid-div202" type="float" level="2" n="1"> <figure xlink:label="fig-00607-01" xlink:href="fig-00607-01a"> <image file="00607-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/00607-01"/> </figure> </div> </div> <div xml:id="echoid-div204" type="section" level="1" n="167"> <head xml:id="echoid-head272" xml:space="preserve">FIN.</head> </div></text> </echo>