Mercurial > hg > mpdl-xml-content
annotate texts/archimedesOldCVSRepository/archimedes/xml/galil_mecha_047_fr_1634.xml @ 31:edf6e8fcf323 default tip
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 |
rev | line source |
---|---|
6
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
1 <?xml version="1.0" encoding="UTF-8"?> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
2 <!DOCTYPE archimedes SYSTEM "../dtd/archimedes.dtd"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
3 <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
4 <info> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
5 <author>Galilei, Galileo</author> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
6 <title>Les méchaniques</title> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
7 <date>1634</date> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
8 <place>Paris</place> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
9 <translator>Mersenne, Marin</translator> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
10 <lang>fr</lang> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
11 <cvs_file>galil_mecha_047_fr_1634.xml</cvs_file> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
12 <cvs_version/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
13 <locator>047.xml</locator> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
14 </info> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
15 <text> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
16 <front> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
17 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
18 <pb xlink:href="047/01/001.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
19 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
20 <s id="s.000001"><emph type="center"/>LES <lb/>MECHANIQVES <lb/>DE GALILÉE <lb/>MATHEMATICIEN <lb/>& Ingenieur du Duc de Florence.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
21 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
22 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
23 <s id="s.000002"><emph type="center"/><emph type="italics"/>AVEC PLVSIEVRS ADDITIONS <lb/>rares, & nouuelles, vtiles aux Archite­<lb/>ctes, Ingenieurs, Fonteniers, Phi­<lb/>lo&longs;ophes, & Arti&longs;ans.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
24 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
25 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
26 <s id="s.000003"><emph type="center"/>Traduites de l'Italien par L.P.M.M.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
27 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
28 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
29 <s id="s.000004"><emph type="center"/>A PARIS, <lb/>Chez HENRY GVENON, ruë S. Iacques, <lb/>prés les Iacobins, à l'image S. Bernard.<emph.end type="center"/><lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
30 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
31 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
32 <s id="s.000005"><emph type="center"/>M. DC. XXXIV. <lb/><emph type="italics"/>AVEC PRIVILEGE ET APPROBATION.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
33 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
34 <pb xlink:href="047/01/002.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
35 <pb xlink:href="047/01/003.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
36 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
37 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
38 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
39 <s id="s.000006"><emph type="center"/>A MONSIEVR <lb/>MONSIEVR <lb/>DE REFFVGE, <lb/>CONSEILLER DV <lb/>Roy au Parlement.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
40 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
41 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
42 <s id="s.000007">MONSIËVR, <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
43 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
44 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
45 <s id="s.000008"><emph type="italics"/>Puis qu'il y a huict ans que ie vous <lb/>pre&longs;entay les liures de Mechaniques en <lb/>latin, & que ie fais voir le iour à ce <lb/>nouueau traitté de Galilée, qui donne <lb/>de nouuelles lumieres à cette &longs;cience, il e&longs;t <lb/>rai&longs;onnable que ie vous l'offre au&longs;&longs;i <lb/>bien que l'autre, affin que vous &longs;oyez le <lb/>premier à receuoir le contentement que <lb/>l'on à cou&longs;tume de re&longs;&longs;entir en li&longs;ant <lb/>tout ce qui vient de la part de cét excel­<lb/>lent homme, qui a l'vn des plus &longs;ubtils <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
46 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
47 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
48 <pb xlink:href="047/01/004.jpg"/><emph type="italics"/>e&longs;prits de ce &longs;iecle. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
49 <s id="s.000009">Si la traduction <lb/>&longs;emble quelque fois ob&longs;cure, à rai&longs;on des <lb/>fautes du manu&longs;crit Italien ie ne doute <lb/><expan abbr="nullem&etilde;t">nullement</expan> que la clairté & la viuacité de <lb/>vo&longs;tre e&longs;prit n'en di&longs;&longs;ipe ay&longs;ement tous <lb/>les nüages, Quant aux additions que <lb/>i'y ay mi&longs;es, elles vous &longs;eront au&longs;&longs;i agrea­<lb/>bles que le re&longs;te, parce qu'elles contien­<lb/>nent de nouuelles &longs;peculations, qui peu­<lb/>uent &longs;eruir pour penetrer les &longs;ecrets de <lb/>la Phyfique & particulierement <lb/>tout ce qui concerne les mouuemens <expan abbr="tãt">tant</expan> <lb/>naturels que violents. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
50 <s id="s.000010">Mais i'estime <lb/>que l'ordre, & le reglement admirable <lb/>que la nature ob&longs;erue dans les forces <lb/>mouuantes, vous donnera encore plus <lb/>de plai&longs;ir, parce que vous y verrez re­<lb/>luire vne équité, & vne iustice perpe­<lb/>tuelle qui &longs;e garde, & que l'on remar­<lb/>que &longs;i iu&longs;tement entre la force, la re&longs;i­<lb/>&longs;tence, le <expan abbr="t&etilde;ps">temps</expan>, la vi&longs;te&longs;&longs;e &, le&longs;pace, que <lb/>l'vn <expan abbr="recõpen&longs;e">recompen&longs;e</expan> tou&longs;iours l'autre, car &longs;i le <lb/><expan abbr="mouuem&etilde;t">mouuement</expan> est viste, il faut beaucoup de <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
51 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
52 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
53 <pb xlink:href="047/01/005.jpg"/><emph type="italics"/>force & s'il e&longs;t <expan abbr="l&etilde;s">lens</expan>, vne petite force &longs;uffit. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
54 <s id="s.000011"><lb/>En effet il e&longs;t impo&longs;&longs;ible de gaigner la for­<lb/>ce, & le téps tout <expan abbr="ens&etilde;ble">ensemble</expan>, <expan abbr="cõme">comme</expan> il e&longs;t im­<lb/>po&longs;&longs;ible qu'vn homme iouy&longs;&longs;e des plai­<lb/>&longs;irs fola&longs;tres du monde & de ceux du <lb/>Ciel en me&longs;me temps: de &longs;orte que les <lb/>Mechaniques peuuent en&longs;eigner à bien <lb/>viure, &longs;oit en imitant les corps pe&longs;ans <lb/>qui cherchent tou&longs;iours leur centre dans <lb/>celuy de la terre comme le&longs;prit de l'hom. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
55 <s id="s.000012"><lb/>me doit chercher le &longs;ien dans l'e&longs;&longs;ence <lb/>diuine qui e&longs;t la &longs;ource de tous les e&longs;prits <lb/>ou en &longs;e tenant dans le perpetuel èquili­<lb/>bre moral, & rai&longs;onnable qui con&longs;i&longs;te à <lb/>rendre premierement à Dieu, & puis <lb/>au prochain tout ce que luy appartient. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
56 <s id="s.000013"><lb/>L'autheur de ce traité a obmis beaucoup <lb/>de cho&longs;es, par <expan abbr="ex&etilde;ple">exemple</expan> il n'a point parlé du <lb/>coin qui e&longs;t <expan abbr="l'in&longs;trum&etilde;t">l'in&longs;trument</expan> le plus fort de tous <lb/>car &longs;a force en partie depend de l'incli­<lb/>nation du plan, comme Guid Vbalde <lb/>demon&longs;tre dans le traité, qu'il en a fait, <lb/>de &longs;orte que le coin entre dautant plus <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
57 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
58 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
59 <pb xlink:href="047/01/006.jpg"/><emph type="italics"/>ay&longs;ement qu'il e&longs;t plus e&longs;troit, & que <lb/>&longs;es co&longs;tez panchent dauantage &longs;ur l'ho­<lb/>rizon, c'e&longs;t à dire qu'ils font de moin­<lb/>dres angles. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
60 <s id="s.000014">Or ce me&longs;me principe e&longs;t <lb/>cau&longs;e de ce que les cousteaux coupent &longs;i <lb/>ay&longs;ement, & de plu&longs;ieurs autres effects <lb/>que l'on peut remarquer en mille cho&longs;es, <lb/>dont on cognoi&longs;tra les rai&longs;ons &longs;i on li&longs;t <lb/>auec attention les traitez,<emph.end type="italics"/> della Vite, <lb/>del Cuneo, della Taglia, della <lb/>Leua, della Bilancia, & dell' A&longs;&longs;e <lb/>nella Rota, <emph type="italics"/>que Guido Vbalde a com­<lb/>po&longs;ez: d'où &longs;e tire la nature des Ver­<lb/>rins, des Crics, des Pre&longs;&longs;es, & de tout <lb/>ce qui &longs;ert à augmenter, à con&longs;eruer, ou <lb/>à diminuer la force, ou le temps. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
61 <s id="s.000015"><lb/>La force du coin depend au&longs;&longs;i de la per­<lb/>cu&longs;&longs;ion, qui e&longs;t &longs;i admirable qu'il n'y a <lb/>point de fardeau &longs;i lourd, que l'on ne <lb/>pui&longs;&longs;e faire remüer & cheminer auec <lb/>des coups de marteau, pour petits qu'ils <lb/>pui&longs;&longs;ent e&longs;tre, ce que l'on tient que <lb/>Galilée a experimenté en frappant &longs;i <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
62 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
63 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
64 <pb xlink:href="047/01/007.jpg"/><emph type="italics"/>&longs;ouuent contre vn grand coffre auec vn <lb/>marteau d'épinette, qu'il la fait chan­<lb/>ger de place & la fait auancer d'vn <lb/>pied: ce que plu&longs;ieurs ne croyront nulle­<lb/>ment encore qu'ils ne prennent pas la <lb/>peine d'en faire l'experience laquelle e&longs;t <lb/>tres digne de con&longs;ideration, car elle peut <lb/>&longs;eruir d'vn principe pour entrer plus <lb/>auant dans les &longs;ecrets de la nature. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
65 <s id="s.000016">Ie <lb/>lai&longs;&longs;e plu&longs;ieurs autres cho&longs;es, qui &longs;em­<lb/>blent admirables, & que vous pouuez, <lb/>experimenter quand il vous plaira; <lb/>ie vous en diray &longs;eulement vne des plus <lb/>rares, laquelle vous verrez en <expan abbr="iettãt">iettant</expan> vne <lb/>bale, ou vne boule en haut le plus droit <lb/>que vous pourrez, lors que vous estes <lb/>dans vostre carro&longs;&longs;e, ou a cheual, & <lb/>lors qu'ils courent de telle vi&longs;te&longs;&longs;e que <lb/>vous voudrez, car la boule vous &longs;ui­<lb/>ura, tellement que vous la pourrez rece­<lb/>uoir dans la main encore que le carro&longs;&longs;e, <lb/>ou le cheual ayent fait cent pas tandis <lb/>que la boule aura e&longs;té dans l'air. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
66 <s id="s.000017">Et &longs;i <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
67 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
68 |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
69 <pb xlink:href="047/01/008.jpg"/><emph type="italics"/>vous la lai&longs;&longs;ez <expan abbr="tõber">tomber</expan>, elle vous &longs;uiura <lb/>d'autant plus loing que le cheual ira <lb/>plus viste. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
70 <s id="s.000018">Galilèe a encore lai&longs;&longs;é dau­<lb/>tres cho&longs;es dans &longs;on traicté comme il e&longs;t <lb/>ay&longs;é de voir dans les trois liures de <lb/>Mechaniques que ie vous ay pre&longs;entez <lb/>& qui peuuent &longs;uppléer à ce que l'on <lb/>pourroit icy de&longs;irer; de &longs;orte qu'il n'e&longs;t <lb/>pas nece&longs;&longs;aire que ie m'e&longs;tende plus au <lb/>long &longs;ur ce &longs;ubiect, qui dépend entiere­<lb/>ment du centre de pe&longs;anteur, que l'on <lb/>trouue dans toutes &longs;ortes de corps par <lb/>les moyens, que Commandin & Luc <lb/>Valere ont donné, dont vous auez tou­<lb/>tes les propo&longs;itions.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
71 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
72 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
73 <s id="s.000019"><emph type="italics"/>Ie croy que &longs;i la Iu&longs;tice pouuoit par­<lb/>ler qu'elle <expan abbr="cõfe&longs;&longs;eroit">confe&longs;&longs;eroit</expan> ingenuëment qu'il <lb/>n'y a nulle &longs;cience naturelle: qui luy <lb/>&longs;oit &longs;i &longs;emblable que celles des Mecha­<lb/>niques, c'e&longs;t pourquoy ie vous l'offre a&longs;&longs;in <lb/>de te&longs;moigner l'estat que ie fais de vos <lb/>vertus, qui me contraignent d'auoir <lb/>la me&longs;me affection pour vous, que pour <emph.end type="italics"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
74 <pb xlink:href="047/01/009.jpg"/><emph type="italics"/>celuy qui e&longs;t aymé de Dieu & des <lb/>hommes, de prier la diuine Maie&longs;tè de <lb/>vous donner vne tres bonne &longs;anté, <lb/>qui &longs;oit au&longs;&longs;i longue que ie le de&longs;ire: & <lb/>de me dire auec toute &longs;orte de re&longs;pect.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
75 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
76 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
77 <s id="s.000020">Vo&longs;tre tres-humble <lb/>&longs;eruiteur F. M. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
78 <s id="s.000021">Mer­<lb/>&longs;enne Minime. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
79 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
80 <pb xlink:href="047/01/010.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
81 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
82 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
83 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
84 <s id="s.000022"><emph type="center"/>PREFACE AV LECTEVR.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
85 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
86 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
87 <s id="s.000023">IE &longs;eray content &longs;i ie &longs;uis cau&longs;e <lb/>que le &longs;ieur Galilée nous don­<lb/>ne toutes &longs;es &longs;peculations des <lb/>mouuemens, & de tout ce qui ap­<lb/>partient aux Mechaniques, car ce <lb/>qui viendra de &longs;a part &longs;era excel­<lb/>lent: c'e&longs;t pourquoy ie prie ceux <lb/>qui ont de la corre&longs;pondance à <lb/>Florénce, de l'exhorter par lettres <lb/>à donner au public toutes &longs;es re­<lb/>marques, comme i'e&longs;pere qu'il <lb/>fera puis qu'il a maintenant le <lb/>temps, & la commodité tres libre <lb/>dans &longs;a mai&longs;on des champs, & <lb/>qu'il a encor a&longs;&longs;ez de force, quoy <lb/>qu'il &longs;oit plus que &longs;eptuagenaire <lb/>pour acheuer toutes &longs;es œuures, <lb/>comme il a&longs;&longs;eure dans vne lettre <lb/>de &longs;a main que l'on m'a commu­<lb/>niquée. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
88 <s id="s.000024">Or en attendant ces trai­<lb/>tez excellent, l'on peut voir les <pb xlink:href="047/01/011.jpg"/>3 liures des Mechaniques, que le <lb/>feis imprimer l'année 1626; à quoy <lb/>i'aioute maintenant la con&longs;idera­<lb/>tion des deux cercles qu'Ari&longs;tote <lb/>a propo&longs;ez dans la 24 que&longs;tion de <lb/>&longs;es Mechaniques, parce que plu­<lb/>&longs;ieurs la <expan abbr="trouu&etilde;t">trouuent</expan> admirable dau­<lb/>tant qu'ils ne l'entendent pas. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
89 <s id="s.000025"><lb/>Et pour ce &longs;ujet &longs;oit le grand cer­<lb/>cle ACB, & le moindre FGH, il <lb/><figure id="id.047.01.011.1.jpg" xlink:href="047/01/011/1.jpg"/><lb/>e&longs;t certain <lb/>que quand <lb/>le quart du <lb/>grand cercle <lb/>BD s'e&longs;t meu <lb/>iu&longs;ques au <lb/>poinct O, de <lb/>&longs;orte que le point D &longs;e rencontre <lb/>au point O, que le point E du <lb/>quart du moindre cercle FE &longs;e <expan abbr="r&etilde;-cõtre">ren­<lb/>contre</expan> au point N, & <expan abbr="cõ&longs;equ&etilde;ment">con&longs;equemment</expan> <lb/>que le petit cercle fait autant de <lb/>chemin que le grand en me&longs;me |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
90 <pb xlink:href="047/01/012.jpg"/>temps, pui&longs;que le plan FN &longs;ur le­<lb/>quel il &longs;e meut e&longs;t égal au plan <lb/>DO, &longs;ur lequel roule le grand. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
91 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
92 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
93 <s id="s.000026">D'où quelques vns conclunt <lb/>qu'il n'y a point de &longs;i petit cercle <lb/>que l'on ne le pui&longs;&longs;e dire égal au <lb/>plus grand qui &longs;e pui&longs;&longs;e imaginer, <lb/>puis qu'il <expan abbr="re&longs;põd">re&longs;pond</expan> à vn e&longs;pace égal <lb/>Car plu&longs;ieurs croyent que les par­<lb/>ties du petit ne trainent point, <lb/>qu'elles ne froi&longs;&longs;ent nullement le <lb/>plan, & que chaque point, & cha­<lb/>que partie de &longs;a circonference <lb/>touche <expan abbr="&longs;eulem&etilde;t">&longs;eulement</expan> à chaque point, <lb/>& à chaque partie du plan. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
94 <s id="s.000027">Il faut <lb/>dire la me&longs;me cho&longs;e du grand <lb/>cercle à l'égard du petit, lors que <lb/>le grand &longs;e meut par le mouue­<lb/>ment du petit, car le grand dimi­<lb/>nuë &longs;on chemin &longs;uiuant les traces <lb/>du petit, de &longs;orte que &longs;i le petit <lb/>ne fait qu'vn pied de Roy dans vn <lb/>tour, le grand quoy qu'égal au |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
95 <pb xlink:href="047/01/013.jpg"/>Ciel des e&longs;toiles, ne fait au&longs;&longs;i <lb/>qu'vn pied de Roy dans vn tour. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
96 <s id="s.000028"><lb/>Ce que quelques vns expliquent <lb/>par le moyen de la rarefaction, & <lb/>de la conden&longs;ation, en <expan abbr="comparãt">comparant</expan> <lb/>le mouuement du grand cercle à <lb/>celle-cy, & le mouuement du <lb/>moindre à celle la, <expan abbr="quãd">quand</expan> le moin­<lb/>dre e&longs;t meu par le plus <expan abbr="grãd">grand</expan>, & au <lb/>contraire, lors que le moindre <lb/>meut le plus grand. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
97 <s id="s.000029">Or il faut <lb/>aduoüer que la negligence des <lb/>hommes e&longs;t étrange, qui &longs;e trom­<lb/>pent &longs;i &longs;ouuent pour ne vouloir <lb/>pas faire la moindre experience <lb/>du monde & qui &longs;e trauaillent e&ngrave; <lb/>vain à la recherche des rai&longs;ons <lb/>d'vne cho&longs;e qui n'e&longs;t point, com­<lb/>me il arriue en celle cy, car le <lb/>petit cercle ne meut iamais le <expan abbr="grãd">grand</expan> <lb/>que plu&longs;ieurs parties du grand <lb/>ne touchent vne me&longs;me partie <lb/>du plan, dont chaque partie e&longs;t |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
98 <pb xlink:href="047/01/014.jpg"/>touchée par cent parties dif­<lb/>ferentes du grand cercle quand <lb/>il e&longs;t cent fois plus grand que l'au­<lb/>tre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
99 <s id="s.000030">Et lors que le petit e&longs;t meu <lb/>parle grand, vne me&longs;me partie <lb/>du petit, touche cent parties du <lb/>grand, comme l'experience fera <lb/>voir à tous ceux qui la feront en <lb/>a&longs;&longs;ez grand volume. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
100 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
101 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
102 <s id="s.000031">Les me&longs;mes erreurs arriuent en <lb/>plu&longs;ieurs autres chofes, ce qui a <lb/>donné &longs;uiect à quelques vns d'e&longs;­<lb/>crire <emph type="italics"/>derebus fal&longs;ò creditis,<emph.end type="italics"/> dont ie <lb/>donneray encore icy vn exem­<lb/>ple. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
103 <s id="s.000032">L'on croyt que &longs;i on iette vne <lb/>pierre en haut le plus droit que <lb/>l'on peut: lors que l'on e&longs;t dans <lb/>vn nauire qui &longs;ingle à pleins voi­<lb/>les, ou dans vn carro&longs;&longs;e qui va en <lb/>po&longs;te, que la pierre tombera de­<lb/>riere le lieu d'ou l'on la iette, quoy <lb/>que l'experience en&longs;eigne qu'elle <lb/>retombe dans la main qui la iette |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
104 <pb xlink:href="047/01/015.jpg"/>encore que le nauire, ou le carro­<lb/>&longs;&longs;e fa&longs;&longs;e cent pas, tandis que la <lb/>pierre e&longs;t dans l'air. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
105 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
106 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
107 <s id="s.000033">Mais ie re&longs;erue la rai&longs;on de cecy <lb/>pour vn autre lieu, affin que ie ne <lb/>&longs;ois pas containct de faire vne <lb/>preface, qui égale le liure qui &longs;uit <lb/>c'e&longs;t pourquoy i'aioûte <expan abbr="&longs;eulem&etilde;t">&longs;eulement</expan> <lb/>qu'auant que l'on entreprenne <lb/>les ouurages où les Machines <lb/>doiuent entrer, & que l'on &longs;e &longs;er­<lb/>ue des ingenieurs & arti&longs;ans, qu'il <lb/>e&longs;t à propos de leur faire expo&longs;er <lb/>leurs de&longs;&longs;eins, & leurs modelles en <lb/>public, & <expan abbr="particulierem&etilde;t">particulierement</expan> à la veûe <lb/>des excellents Geometres qui &longs;ça­<lb/>uent les vrayes rai&longs;ons de toutes <lb/>&longs;ortes de Machines, & qui <expan abbr="peuu&etilde;t">peuuent</expan> <lb/>preuoir les inconueniens, & les <lb/>ob&longs;tacles de l'air, de l'eau, & des <lb/>autres circon&longs;tances, à faute de­<lb/>quoy il arriue trop &longs;ouuent que <lb/>plu&longs;ieurs font des de&longs;pen&longs;es ex- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
108 <pb xlink:href="047/01/016.jpg"/>ce&longs;&longs;iues dans leurs mai&longs;ons où ils <lb/>veulent faire de grandes <expan abbr="éleuatiõs">éleuations</expan> <lb/>d'eau, en &longs;e &longs;eruant de certains in­<lb/>genieurs, qui &longs;e <expan abbr="di&longs;&etilde;t">di&longs;ent</expan> tres-experts, <lb/>& qui neantmoins &longs;ont contrains <lb/>de s'enfuir honteu&longs;ement, lors <lb/>qu'ils n'ont peu venir à bout de <lb/>leurs de&longs;&longs;eins. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
109 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
110 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
111 <s id="s.000034">Or pour éuiter ces de&longs;pences <lb/>inutiles, il faudroit afficher par <lb/>les ruës, ou aduertir <expan abbr="publiquem&etilde;t">publiquement</expan> <lb/>de l'ouurage que l'on veut entre­<lb/>prendre, affin que tous les inge­<lb/>nieurs apporta&longs;&longs;ent leur modelle <lb/>en &longs;ecret à iour nommé & qu'il <lb/>fu&longs;t examiné par les plus habiles <lb/>Mathematiciens, par les inge­<lb/>nieurs, & par les charpentiers de <lb/>moulins, qui <expan abbr="choi&longs;iroi&etilde;t">choi&longs;iroient</expan> le meil­<lb/>leur de&longs;&longs;ein. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
112 <s id="s.000035">Car il faut ioindre la <lb/>pratique à la theorie non &longs;eule­<lb/>ment dans l'execution, mais au&longs;&longs;i <lb/>dans l'élection, des modelles, affin |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
113 <pb xlink:href="047/01/017.jpg"/>qu'il n'y ayt rien à redire ny à re­<lb/>faire dans les ouurages de grand <lb/>cou&longs;t, comme &longs;ont les pompes <lb/>du pont neuf, & du nouueau que <lb/>l'on a fait au bas du Louure, & <lb/>que nul ne &longs;e ruine à faire accom­<lb/>moder les lieux de plai&longs;ir, ou l'on <lb/>veut auoir des fonteines des grot­<lb/>tes, des arcs en Ciel, &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
114 <s id="s.000036">Mais la <lb/>con&longs;ideration des pompes merite <lb/>vn di&longs;cours plus particulier, & <lb/>cette preface e&longs;t de&longs;ia trop lon­<lb/>gue, c'e&longs;t pourquoy i'ajoute &longs;eu­<lb/>lement la table des Chapitres du <lb/>liure. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
115 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
116 <pb xlink:href="047/01/018.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
117 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
118 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
119 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
120 <s id="s.000037"><emph type="center"/>TABLE DV LIVRE<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
121 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
122 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
123 <s id="s.000038"><emph type="center"/>des Mechaniques.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
124 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
125 <p type="table"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
126 <s id="s.000039">TABELLE WAR HIER |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
127 <pb xlink:href="047/01/019.jpg"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
128 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
129 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
130 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
131 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
132 <s id="s.000040"><emph type="center"/><emph type="italics"/>Fautes de l'Impre&longs;&longs;ion corrigées.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
133 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
134 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
135 <s id="s.000041">Page 13, l. 13. <emph type="italics"/>inegaux.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
136 <s id="s.000042"> p. 16. l. 2. o&longs;tez <emph type="italics"/>de <emph.end type="italics"/><lb/>ligne 7. & 8. DS <emph type="italics"/>à<emph.end type="italics"/> C. <emph type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
137 <s id="s.000043">de<emph.end type="italics"/> page 21. ligne 14. <lb/>au lieu de P. li&longs;ez D. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
138 <s id="s.000044"> p. 24. l.1. au lieu de <emph type="italics"/>e&longs;t <lb/>égal<emph.end type="italics"/> li&longs;ez. <emph type="italics"/>&longs;ont chacune egales,<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
139 <s id="s.000045"> l. 4. au lieu de ou <lb/>li&longs;ez <emph type="italics"/>&<emph.end type="italics"/> A<emph type="italics"/>tout au contraire.<emph.end type="italics"/> </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
140 <s id="s.000046">p.25. l. 18 pour <emph type="italics"/>&longs;ap<lb/>prochant<emph.end type="italics"/> li&longs;ez <emph type="italics"/>approchent.<emph.end type="italics"/> </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
141 <s id="s.000047"> p.26. corrigez les <lb/>lettres de la 2 ligne & pour A de l'antepenul. <lb/>li&longs;ez E. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
142 <s id="s.000048">p. 28. l 1. <emph type="italics"/>roüe<emph.end type="italics"/> </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
143 <s id="s.000049"> p. 30. l. 7. l'Organe. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
144 <s id="s.000050">l <lb/>25. apres B li&longs;ez F </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
145 <s id="s.000051">p. 33. ligne 6 <emph type="italics"/>l'extremité<emph.end type="italics"/><lb/>A.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
146 <s id="s.000052">l. 8. poids </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
147 <s id="s.000053">l.13. au lieu de F. li&longs;ez C. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
148 <s id="s.000054">l. 25. <lb/>apres fardeau li&longs; E.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
149 <s id="s.000055">l. 26 pour C. <emph type="italics"/>li&longs;ez<emph.end type="italics"/> G. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
150 <s id="s.000056"><lb/>p. 34. l. 1 AG. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
151 <s id="s.000057">l. 3. <emph type="italics"/>poids.<emph.end type="italics"/> </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
152 <s id="s.000058">l. 10. pour E. li&longs;ez. C. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
153 <s id="s.000059">>p. 37. l. 16. apres <emph type="italics"/>immobile<emph.end type="italics"/> li&longs;ez A. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
154 <s id="s.000060">p. 41 l. 8. <lb/>pour des li&longs;. du </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
155 <s id="s.000061">l.24. pour E li&longs;ez <emph type="italics"/>&.<emph.end type="italics"/> </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
156 <s id="s.000062">p. 45.l. 8 <lb/>pour B li&longs;. D.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
157 <s id="s.000063">p. 51. l. antep. pour <emph type="italics"/>parce,<emph.end type="italics"/> li&longs;.<emph type="italics"/>par.<emph.end type="italics"/><lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
158 <s id="s.000064">p. 52.l. penul. BM. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
159 <s id="s.000065">p. 53 adioútez la lettre P <lb/>au bas de la figure. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
160 <s id="s.000066">p. 57. l. 10. C A.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
161 <s id="s.000067">p. 78<lb/>l. derniere effacez par.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
162 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
163 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
164 <s id="s.000068">S'il y a quel qu'autre faute, le lecteur iudi­<lb/>cieux la &longs;uppleera.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
165 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
166 <pb xlink:href="047/01/020.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
167 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
168 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
169 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
170 <s id="s.000069"><emph type="center"/><emph type="italics"/>PRIVILEGE DV ROY.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
171 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
172 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
173 <s id="s.000070">PAr lettres du Roy donnees à Paris <lb/>le mois d'Aou&longs;t de l'année 1629. <lb/>&longs;ignees Perrochel, & &longs;eelees du grand <lb/>&longs;ceau de cire iaune, il e&longs;t permis au <lb/>P. M. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
174 <s id="s.000071">Mer&longs;enne Religieux Minime <lb/>de faire imprimer par tel Libraire que <lb/>bon luy &longs;emblera <emph type="italics"/>Plu&longs;ieurs Traittez de <lb/>Philo&longs;ophie, de Theologie, & de Mathema­<lb/>tique.<emph.end type="italics"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
175 <s id="s.000072"> Et deffences &longs;ont faites à toutes <lb/>per&longs;onnes de quelque qualité qu'ils <lb/>&longs;oient de les faire imprimer, vendre & <lb/>diftribuer pendant le temps de &longs;ix ans à <lb/>compter du iour que le&longs;dits liures &longs;e­<lb/>ront acheuez d'imprimer, comme il <lb/>e&longs;t plus amplement porté dans les let­<lb/>tres dudit Priuilege. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
176 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
177 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
178 <s id="s.000073">Et ledit P. M. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
179 <s id="s.000074">Mer&longs;enne à con&longs;enty & con­<lb/>&longs;ent que Henry Guenon ioüi&longs;&longs;e dudit Pri­<lb/>uilege, comme il e&longs;t plus amplement decla­<lb/>ré par l'accord fait entr eux. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
180 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
181 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
182 <s id="s.000075"><emph type="center"/>Et le&longs;dits liures ont e&longs;té acheués d'imprimer le <lb/>30. Iuin 1634.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
183 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
184 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
185 <section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
186 <pb pagenum="1" xlink:href="047/01/021.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
187 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
188 <s id="s.000076"><emph type="center"/>LES <lb/>MECHANIQVES <lb/>DE GALILEE FLOREN­<lb/>TIN, INGENIEVR ET <lb/>Mathematicien du Duc <lb/>de Florence.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
189 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
190 </section> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
191 </front> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
192 <body> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
193 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
194 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
195 <s id="s.000077"><emph type="center"/>CHAPITRE PREMIER.<emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
196 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
197 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
198 <s id="s.000078"><emph type="center"/><emph type="italics"/>Dans lequel on void la Preface qui mon&longs;tre <lb/>l'vtilité des Machines.<emph.end type="italics"/><emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
199 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
200 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
201 <s id="s.000079">AVANT que d'entrepren­<lb/>dre la &longs;peculation des in­<lb/>&longs;trumens de la Mechani­<lb/>que, il faut remarquer en <lb/>general les commoditez, & les profits <lb/>que l'on en peut tirer, afin que les arti­<lb/>&longs;ans ne croyent pas qu'ils pui&longs;&longs;ent &longs;eruir <lb/>aux operations, dont ils ne &longs;ont pas ca-<pb pagenum="2" xlink:href="047/01/022.jpg"/>pables, & que l'on pui&longs;&longs;e leuer de <expan abbr="grãds">grands</expan> <lb/>fardeaux auec peu de force: car la na­<lb/>ture ne peut e&longs;tre trompée, ni ceder à <lb/>&longs;es droits: & nulle re&longs;i&longs;tence ne peut <lb/>e&longs;tre &longs;urmontée que par vne plus gran­<lb/>de force, comme ie feray voir apres: & <lb/>con&longs;equemment les Machines ne peu­<lb/>uent &longs;eruir à leuer de plus grands far­<lb/>deaux que ceux qu'vne force égale <lb/>peut leuer &longs;ans l'ayde d'aucun in&longs;tru­<lb/>ment: c'e&longs;t pourquoy il faut expliquer <lb/>les vrayes vtilitez des Machines, afin <lb/>que l'on ne trauaille pas en vain, & que <lb/>l'e&longs;tude que l'on fera, reü&longs;&longs;i&longs;&longs;e heureu­<lb/>&longs;ement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
202 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
203 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
204 <s id="s.000080">Il faut donc icy con&longs;iderer 4. cho&longs;es, <lb/>à &longs;çauoir le fardeau que l'on veut tran&longs;­<lb/>porter d'vn lieu à vn autre: la force qui <lb/>le doit mouuoir; la di&longs;tance par laquel­<lb/>le &longs;e fait le mouuement; & le temps <lb/>dudit mouuement, parce qu'il &longs;ert pour <lb/>en determiner la vi&longs;te&longs;&longs;e, puis qu'elle <lb/>e&longs;t d'autant plus grande que le corps <lb/>mobile, ou le fardeau pa&longs;&longs;e par vne plus <lb/>grande di&longs;tance en me&longs;me temps: de <lb/>&longs;orte que &longs;i l'on &longs;uppo&longs;e telle re&longs;i&longs;tence, <lb/>telle force, & telle <expan abbr="di&longs;tãce">di&longs;tance</expan> determinée <lb/>que l'on voudra, il n'y a nul doute que <pb pagenum="3" xlink:href="047/01/023.jpg"/>la force requi&longs;e conduira le fardeau à <lb/>la di&longs;tance donnée, quoy que ladite <lb/>force &longs;oit tre&longs;-petite, pourueu que l'on <lb/>diui&longs;e le fardeau en tant de parties que <lb/>la force en pui&longs;&longs;e mouuoir vne, car elle <lb/>les <expan abbr="trã&longs;portera">tran&longs;portera</expan> toutes les vnes apres les <lb/>autres; d'où il &longs;'en&longs;uit que la moindre <lb/>force du monde peut tran&longs;porter tel <lb/>poids que l'on voudra. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
205 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
206 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
207 <s id="s.000081">Mais l'on ne peut dire à la fin du <expan abbr="trã&longs;-port">tran&longs;­<lb/>port</expan>, que l'on ayt remué vn grand far­<lb/>deau auec peu de force, puis qu'elle a <lb/>tou&longs;iours e&longs;té égale à chaque partie du <lb/>fardeau: de maniere que l'on ne gaigne <lb/>rien auec les in&longs;trumens, dautant que &longs;i <lb/>l'on applique vne petite force à vn <expan abbr="grãd">grand</expan> <lb/>fardeau, il faut beaucoup de temps, & <lb/>que &longs;i l'on veut le tran&longs;porter en peu de <lb/>temps, il faut vne grande force. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
208 <s id="s.000082">D'où <lb/>l'on peut conclurre qu'il e&longs;t impo&longs;&longs;ible <lb/>qu'vne petite force tran&longs;porte vn <expan abbr="grãd">grand</expan> <lb/>poids dans moins de temps qu'vne plus <lb/>grande force. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
209 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
210 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
211 <s id="s.000083">Neantmoins les Machines &longs;ont vti­<lb/>les pour mouuoir de grands fardeaux <lb/>tout d'vn coup &longs;ans les diui&longs;er, parce <lb/>que l'on a &longs;ouuent beaucoup de temps, <lb/>& peu de force, c'e&longs;t pourquoy la lon- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
212 <pb pagenum="4" xlink:href="047/01/024.jpg"/>gueur du temps recompen&longs;e le peu de <lb/>force: Mais celuy-là &longs;e tromperoit qui <lb/>voudroit abreger le temps en n'v&longs;ant <lb/>que d'vne petite force, & mon&longs;treroit <lb/>qu'il n'entend pas la nature des Machi­<lb/>nes, ny la rai&longs;on de leurs effets. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
213 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
214 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
215 <s id="s.000084">La &longs;econde vtilité des in&longs;trumens <lb/>con&longs;i&longs;te en ce qu'on les applique à des <lb/>lieux <expan abbr="dõt">dont</expan> on ne pourroit tirer, ou tran&longs;­<lb/>porter les fardeaux, & beaucoup de <lb/>cho&longs;es &longs;ans leur ay de, comme l'on <expan abbr="ex-perim&etilde;te">ex­<lb/>perimente</expan> aux puits, <expan abbr="dõt">dont</expan> on tire de l'eau <lb/>auec vne chorde attachée aux poulies, <lb/>ou aux arbres des roües, par le moyen <lb/>de&longs;quelles on en tire vne <expan abbr="quãtité">quantité</expan>, dans <lb/>vn certain <expan abbr="t&etilde;ps">temps</expan>, auec vne force limitée, <lb/>&longs;ans qu'il &longs;oit po&longs;&longs;ible <expan abbr="d'&etilde;">d'en</expan> tirer vne plus <lb/>grande quantité auec vne force égale, <lb/>& en me&longs;me temps. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
216 <s id="s.000085">Au&longs;&longs;i les pompes <lb/>qui vuident le font des Nauires, n'ont <lb/>elles pas e&longs;té inuentées pour pui&longs;er, & <lb/>tirer vne plus grande quantité d'eau <lb/>dans le me&longs;me temps, & par la me&longs;me <lb/>force dont on v&longs;e en pui&longs;ant auec vn <lb/>&longs;eau, mais parce qu'il e&longs;t inutile à cet <lb/>effet, dautant qu'il ne peut pui&longs;er l'eau <lb/>&longs;ans &longs;'enfoncer dedans, car il faudroit <lb/>le coucher au fond pour pui&longs;er obli- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
217 <pb pagenum="5" xlink:href="047/01/025.jpg"/>quement le peu d'eau qui re&longs;te: ce qui <lb/>ne peut arriuer, quand on le de&longs;cend <lb/>auec vne chorde, qui le porte <expan abbr="perpen-diculairem&etilde;t">perpen­<lb/>diculairement</expan>: mais la pompe tire l'eau <lb/>iu&longs;ques à la derniere goute. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
218 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
219 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
220 <s id="s.000086">La 3. vtilité des Machines e&longs;t tres­<lb/>grande, parce que l'on euite les grands <lb/>frais & le cou&longs;t en <expan abbr="vsãt">vsant</expan> d'vne force ina­<lb/>nimée, ou &longs;ans rai&longs;on, qui fait les me&longs;­<lb/>mes cho&longs;es que la force des hommes <lb/>animée, & conduite par le iugement, <lb/>comme il arriue lors que l'on fait meu­<lb/>dre les moulins auec l'eau des e&longs;tangs, <lb/>ou des fleuues, ou auec vn cheual, qui <lb/>&longs;upplée la force de 5. ou 6. hommes. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
221 <s id="s.000087">Et <lb/>parce que le cheual a vne grande for­<lb/>ce, & qu'il manque de di&longs;cours, l'on <lb/>&longs;upplée le rai&longs;onnement nece&longs;&longs;aire, par <lb/>le moyen des roües & des autres Ma­<lb/>chines qui &longs;ont ébranlées par la force <lb/>du cheual, & qui rempli&longs;&longs;ent, & tran&longs;­<lb/>portent le vai&longs;&longs;eau d'vn lieu à l'autre & <lb/>qui le vuident &longs;uiuant le de&longs;&longs;ein de l'In­<lb/>genieur. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
222 <s id="s.000088">Or il faut conclurre de tout <lb/>ce di&longs;cours que l'on ne peut <expan abbr="ri&etilde;">rien</expan> gaigner <lb/>en force que l'on ne le perde en temps, <lb/>& que la plus grande vtilité des Machi­<lb/>nes <expan abbr="cõ&longs;i&longs;te">con&longs;i&longs;te</expan> à épargner la dépence, com- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
223 <pb pagenum="6" xlink:href="047/01/026.jpg"/>me i'ay mon&longs;tré, & con&longs;equemment <lb/>que ceux qui trauaillent à &longs;uppléer la <lb/>force, & le temps tout en&longs;emble, ne <lb/>meritent nullement d'auoir du temps, <lb/>puis qu'ils l'employent &longs;i mal, comme <lb/>l'on verra à la &longs;uitte de ce traité. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
224 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
225 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
226 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
227 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
228 <s id="s.000089"><emph type="center"/>CHAP. II.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
229 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
230 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
231 <s id="s.000090"><emph type="center"/><emph type="italics"/>Des definitions, nece&longs;&longs;aires pour la &longs;cience <lb/>des Mechaniques.<emph.end type="italics"/><emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
232 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
233 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
234 <s id="s.000091">NOus commençons ce traité par les <lb/><expan abbr="definitiõs">definitions</expan>, & par les <expan abbr="&longs;uppo&longs;itiõs">&longs;uppo&longs;itions</expan> qui <lb/>&longs;ont propres à cet art, afin d'en tirer les <lb/>cau&longs;es, & les rai&longs;ons de tout ce qui ar­<lb/>riue aux Machines, dont il faut expli­<lb/>quer les effects, car chaque &longs;cience a &longs;es <lb/>definitions & &longs;es principes, qui &longs;ont <expan abbr="cõ-me">com­<lb/>me</expan> des &longs;emences tre&longs;-fecondes, de&longs;­<lb/>quelles nai&longs;&longs;ent toutes les conclu&longs;ions, <lb/>& le fruict que l'on en pretend retirer, <lb/>Or puis que les Machines &longs;eruent ordi­<lb/>nairement pour tran&longs;porter les cho&longs;es <lb/>pe&longs;antes, nous commençons par la de­<lb/>finition de la <emph type="italics"/>pe&longs;anteur,<emph.end type="italics"/> que l'on peut <lb/>au&longs;&longs;i nommer <emph type="italics"/>grauité.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
235 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
236 <pb pagenum="7" xlink:href="047/01/027.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
237 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
238 <s id="s.000092"><emph type="center"/><emph type="italics"/>Premiere definition.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
239 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
240 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
241 <s id="s.000093">La <emph type="italics"/>pe&longs;anteur<emph.end type="italics"/> d'vn corps e&longs;t l'inclina­<lb/>tion naturelle qu'il a pour &longs;e mouuoir, <lb/>& &longs;e porter en bas vers le centre de la <lb/>terre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
242 <s id="s.000094">Cette pe&longs;anteur &longs;e rencontre <lb/>dans les corps pe&longs;ans à rai&longs;on de la <expan abbr="quã-tité">quan­<lb/>tité</expan> des parties materielles, dont ils <expan abbr="sõt">sont</expan> <lb/>compo&longs;ez; de &longs;orte qu'ils &longs;ont dautant <lb/>plus pe&longs;ans qu'ils ont vne plus grande <lb/>quantité de&longs;dites parties &longs;ouz vn me&longs;­<lb/>me volume. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
243 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
244 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
245 <s id="s.000095"><emph type="center"/><emph type="italics"/>Deuxie&longs;me definition.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
246 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
247 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
248 <s id="s.000096">Le <emph type="italics"/>moment<emph.end type="italics"/> e&longs;t l'inclination du me&longs;­<lb/>me corps, lors qu'elle n'e&longs;t pas &longs;eule­<lb/>ment con&longs;iderée dans ledit corps, mais <lb/>conioinctement auec la &longs;ituation qu'il <lb/>a &longs;ur le bras d'vn leuier, ou d'vne balan­<lb/>ce; & cette &longs;ituation fait qu'il contre­<lb/>pe&longs;e &longs;ouuent à vn plus grands poids, à <lb/>rai&longs;on de &longs;a plus <expan abbr="grãde">grande</expan> di&longs;tance d'auec <lb/>le centre de la balance. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
249 <s id="s.000097">Car cet éloi­<lb/>gnement e&longs;tant ioint à la propre pe&longs;an­<lb/>teur du corps pe&longs;ant, luy <expan abbr="dõne">donne</expan> vne plus <lb/>forte inclination à de&longs;cendre: de &longs;orte |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
250 <pb pagenum="8" xlink:href="047/01/028.jpg"/>que cette inclination e&longs;t compo&longs;ée de <lb/>la pe&longs;anteur ab&longs;oluë du corps, & de l'é­<lb/>loignement du centre de la balance, ou <lb/>de l'appuy du leuier. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
251 <s id="s.000098">Nous appellerons <lb/>donc tou&longs;iours cette inclination com­<lb/>po&longs;ée, <emph type="italics"/>moment,<emph.end type="italics"/> qui répond au <foreign lang="greek">r(owh\</foreign> des <lb/>Grecs. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
252 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
253 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
254 <s id="s.000099"><emph type="center"/><emph type="italics"/>Troi&longs;ie&longs;me definition.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
255 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
256 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
257 <s id="s.000100">Le centre de pe&longs;anteur de chaque <lb/>corps e&longs;t le point autour duquel toutes <lb/>les parties dudit corps &longs;ont également <lb/>balancées, ou équiponderantes: de &longs;or­<lb/>te que &longs;i l'on &longs;'imagine que le corps &longs;oit <lb/>&longs;ou&longs;tenu, ou &longs;u&longs;pendu par ledit point, <lb/>les parties qui &longs;ont à main droite, con­<lb/>trepe&longs;eront à celles de la gauche, celles <lb/>de derriere à celles de deuant, & celles <lb/>d'enhaut à celles d'en bas, & &longs;e tien­<lb/>dront tellement en équilibre, que le <lb/>corps ne s'inclinera d'vn co&longs;té ni d'au­<lb/>tre, quelque &longs;ituation qu'on luy pui&longs;&longs;e <lb/>donner, & qu'il demeurera tou&longs;iours <lb/>en cet e&longs;tat. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
258 <s id="s.000101">Or le centre de pe&longs;anteur <lb/>e&longs;t le point du corps qui s'vniroit au <expan abbr="c&etilde;-tre">cen­<lb/>tre</expan> des cho&longs;es pe&longs;antes, c'e&longs;t à dire au <lb/>centre de la terre, s'il y pouuoit de&longs;cen­<lb/>dre. |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
259 <pb pagenum="9" xlink:href="047/01/029.jpg"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
260 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
261 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
262 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
263 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
264 <s id="s.000102"><emph type="center"/>CHAP. III.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
265 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
266 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
267 <s id="s.000103"><emph type="center"/><emph type="italics"/>Des &longs;uppo&longs;itions de cet art.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
268 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
269 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
270 <s id="s.000104"><emph type="center"/>I. SVPPOSITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
271 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
272 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
273 <s id="s.000105">TOut corps pe&longs;ant &longs;e meut telle­<lb/>ment en bas que le centre de &longs;a <lb/>pe&longs;anteur ne &longs;ort iamais hors de la ligne <lb/>droite, qui e&longs;t décrite, ou imaginée de­<lb/>puis ledit centre de pe&longs;anteur iu&longs;ques <lb/>à celuy de la terre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
274 <s id="s.000106">Ce qui e&longs;t &longs;uppo&longs;é <lb/>auec rai&longs;on, car puis que le centre de <lb/>pe&longs;anteur de chaque corps &longs;e doit aller <lb/>vnir au centre commun des cho&longs;es pe­<lb/>&longs;antes, il e&longs;t nece&longs;&longs;aire qu'il y aille par <lb/>le chemin le plus court, c'e&longs;t à dire par <lb/>la ligne droite, s'il n'a point d'empe&longs;­<lb/>chement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
275 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
276 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
277 <s id="s.000107"><emph type="center"/>II. SVPPOSITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
278 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
279 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
280 <s id="s.000108">Chaque corps pe&longs;e principalement <lb/>&longs;ur le centre de &longs;a pe&longs;anteur, dans le­<lb/>quel il rama&longs;&longs;e, & vnit toute &longs;on impe­<lb/>tuo&longs;ité, & &longs;a pe&longs;anteur. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
281 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
282 <pb pagenum="10" xlink:href="047/01/030.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
283 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
284 <s id="s.000109"><emph type="center"/>III. SVPPOSITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
285 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
286 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
287 <s id="s.000110">Le centre de la pe&longs;anteur de deux <lb/>corps également pe&longs;ans e&longs;t au milieu <lb/>de la ligne droite qui conioint les cen­<lb/>tres de pe&longs;anteur de&longs;dits corps; c'e&longs;t à <lb/>dire que deux corps également pe&longs;ans, <lb/>& 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: par exem­<lb/>ple, la di&longs;tance CA, e&longs;tant égale à la <lb/>di&longs;tance CB, & les deux poids égaux <lb/>G & H, e&longs;tant &longs;u&longs;pendus aux points A <lb/>& B, il n'y a nulle rai&longs;on pour laquelle <lb/>ils doiuent plu&longs;to&longs;t s'incliner d'vn co&longs;té <lb/>que de l'autre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
288 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
289 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
290 <s id="s.000111">Mais il faut remarquer que la di&longs;tan­<lb/>ce des poids, ou des corps pe&longs;ans d'auec <lb/><figure id="id.047.01.030.1.jpg" xlink:href="047/01/030/1.jpg"/><lb/>l'appuy <lb/>&longs;e doit <lb/>me&longs;urer <lb/>par les li­<lb/>gnes <expan abbr="perp&etilde;diculaires">perpendiculaires</expan>, qui tombent des <lb/>points de la <expan abbr="&longs;u&longs;pen&longs;iõ">&longs;u&longs;pen&longs;ion</expan>, ou des centres de <lb/>la pe&longs;anteur de chaque corps iu&longs;ques <lb/>au centre de la terre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
291 <s id="s.000112">De là vient que |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
292 <pb pagenum="11" xlink:href="047/01/031.jpg"/>la di&longs;tance BC, e&longs;tant tran&longs;portée en <lb/>CD, le poids D ne contrepe&longs;era plus au <lb/>poids A, parce que la ligne tirée du <lb/>point de &longs;u&longs;pen&longs;ion, ou du centre de <lb/>pe&longs;anteur du poids D iu&longs;ques au <expan abbr="c&etilde;tre">centre</expan> <lb/>de la terre, &longs;era plus proche de l'appuy <lb/>C, que l'autre ligne tirée du point de la <lb/><expan abbr="&longs;u&longs;p&etilde;&longs;ion">&longs;u&longs;pen&longs;ion</expan> de B, ou du <expan abbr="c&etilde;tre">centre</expan> de pe&longs;anteur <lb/>du poids H. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
293 <s id="s.000113">Il e&longs;t donc nece&longs;&longs;aire que <lb/>les poids égaux &longs;oient tellement &longs;u&longs;­<lb/>pendus de di&longs;tances égales, que les li­<lb/>gnes <expan abbr="perp&etilde;diculaires">perpendiculaires</expan> tirées par les cen­<lb/>tres de leurs pe&longs;anteurs au centre de la <lb/>terre, &longs;e trouuent <expan abbr="égallem&etilde;t">égallement</expan> éloignées <lb/>de l'appuy C, lors qu'elles pa&longs;&longs;eront <lb/>vis à vis d'iceluy. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
294 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
295 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
296 <s id="s.000114"><emph type="center"/>PREMIERE ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
297 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
298 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
299 <s id="s.000115">La figure qui &longs;uit explique mieux le <lb/>di&longs;cours precedent, car il e&longs;t euident <lb/>que le poids E qui pend au leuier AB <lb/>éleué en E ne pe&longs;e que <expan abbr="cõme">comme</expan> s'il e&longs;toit <lb/>au point K; & quand il e&longs;t en G, il ne <lb/>pe&longs;e que comme s'il e&longs;toit au point I. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
300 <s id="s.000116"><lb/>Or <expan abbr="l'õ">l'on</expan> peut s'in&longs;truire de plu&longs;ieurs cho­<lb/>&longs;es par cette figure; dont nous <expan abbr="parlerõs">parlerons</expan> <lb/>apres, ie diray &longs;eulement icy que NO, <pb pagenum="12" xlink:href="047/01/032.jpg"/>repre&longs;ente au&longs;&longs;i vn leuier parallele à <lb/><figure id="id.047.01.032.1.jpg" xlink:href="047/01/032/1.jpg"/><lb/>BA, ou &longs;i l'on <lb/>veut, vne balan­<lb/>ce, dont le <expan abbr="c&etilde;tre">centre</expan> <lb/>ou l'appuy e&longs;t en <lb/>D, & que ce le­<lb/>uier peut &longs;eruir <lb/>pour abbai&longs;&longs;er <lb/>les corps legers, <lb/>comme il arriue­<lb/>roit &longs;i l'air e&longs;toit retenu dans l'eau: par <lb/>exemple, &longs;i LM e&longs;toient des ve&longs;&longs;ies <lb/>remplies d'air, car de n'ageantes qu'el­<lb/>les &longs;eroient &longs;ur l'eau, la force appliquée <lb/>à N hau&longs;&longs;ant N vers A feroit abbai&longs;&longs;er <lb/>ledit air; de &longs;orte que la Mechanique <lb/>peut au&longs;&longs;i bien s'appliquer, & &longs;eruir <lb/>pour abbai&longs;er les corps legers, comme <lb/>pour hau&longs;&longs;er les pe&longs;ans. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
301 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
302 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
303 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
304 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
305 <s id="s.000117"><emph type="center"/>CHAP. IV.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
306 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
307 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
308 <s id="s.000118"><emph type="center"/><emph type="italics"/>Dans lequel l'vn des principes generaux des <lb/>Mechaniques e&longs;t expliqué.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
309 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
310 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
311 <s id="s.000119">APres auoir expliqué les &longs;uppo&longs;i­<lb/>tions, il faut e&longs;tablir vn principe |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
312 <pb pagenum="13" xlink:href="047/01/033.jpg"/>general, qui &longs;ert pour demon&longs;trer ce <lb/>qui arriue à toutes &longs;ortes de Machines, <lb/>à &longs;çauoir que les poids inegaux &longs;u&longs;pen­<lb/>dus à des di&longs;tances inégales pe&longs;ent éga­<lb/>lement, & &longs;ont en équilibre, quand le&longs;­<lb/>dites di&longs;tances ont me&longs;me proportion <lb/>entr'elles que les poids. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
313 <s id="s.000120">Ce qu'il faut <lb/>demon&longs;trer par la troi&longs;ie&longs;me &longs;uppo&longs;i­<lb/>tion, dans laquelle il e&longs;t dit, que les <lb/>poids égaux pe&longs;ent <expan abbr="égalem&etilde;t">également</expan> lors qu'ils <lb/>&longs;ont également éloignez de l'appuy: car <lb/>c'e&longs;t vne me&longs;me cho&longs;e que d'attacher <lb/>des poids égaux à des <expan abbr="di&longs;tāces">di&longs;tances</expan> inégales. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
314 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
315 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
316 <s id="s.000121">Ce qui &longs;e demon&longs;tre par cette figure, <lb/><figure id="id.047.01.033.1.jpg" xlink:href="047/01/033/1.jpg"/><lb/><expan abbr="dãs">dans</expan> laquel­<lb/>le DECF <lb/>repre&longs;ente <lb/>vn cylindre <lb/>homogene, <lb/>ou de me&longs;­<lb/>me nature <lb/>en toutes &longs;es parties, lequel e&longs;t attaché <lb/>par &longs;es deux bouts C & D aux points <lb/>AB, de &longs;orte que la ligne AB e&longs;t égale <lb/>à la hauteur du cylindre CF. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
317 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
318 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
319 <s id="s.000122">Il e&longs;t certain que &longs;i on l'attache par le <lb/>milieu au point G, qu'il &longs;era en équili­<lb/>bre, parce que &longs;i l'on tiroit vne ligne <pb pagenum="14" xlink:href="047/01/034.jpg"/>droite du point G au centre de la terre, <lb/>elle pa&longs;&longs;eroit par le centre de la pe&longs;an­<lb/>teur du &longs;olide EF, & par con&longs;equent <lb/>toutes les parties qui &longs;ont à l'entour de <lb/>ce centre &longs;eroient en équilibre, par la 3. <lb/>definition, car c'e&longs;t me&longs;me cho&longs;e que &longs;i <lb/>l'on attachoit les deux moitiez du cy­<lb/>lindre aux deux points A & B. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
320 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
321 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
322 <s id="s.000123">Suppo&longs;ons maintenant que le cylin­<lb/>dre &longs;oit couppé en deux parties inéga­<lb/>les par les points, ou par la ligne SI, il <lb/>e&longs;t certain qu'elles ne &longs;eront pas équi­<lb/>libres, & con&longs;equemment qu'elles ne <lb/>demeureront pas en la &longs;ituation prece­<lb/>dente, n'ayant point d'autre &longs;ou&longs;tien <lb/>qu'aux points A & B. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
323 <s id="s.000124">Mais &longs;i l'on atta­<lb/>che vne chorde au point H, pour &longs;ou­<lb/>&longs;tenir le poids par le point I, G &longs;era en­<lb/>core le centre de l'équilibre, parce que <lb/>l'on n'a pas changé la pe&longs;anteur, ny la <lb/>&longs;ituation des parties du cylindre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
324 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
325 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
326 <s id="s.000125">D'où il s'en&longs;uit que n'y ayant point de <lb/>changement aux parties du poids, ny <lb/>dans leur &longs;ituation à l'égard de la ligne <lb/>AB, le me&longs;me point G demeurera le <lb/>centre de l'équilibre, comme il l'a e&longs;té <lb/>dés le commencement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
327 <s id="s.000126">Car puis que <lb/>la partie ES retiendra tou&longs;iours la me&longs;- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
328 <pb pagenum="15" xlink:href="047/01/035.jpg"/>me di&longs;po&longs;ition que la ligne AH, à la­<lb/>quelle elle &longs;era parallele, &longs;i l'on y ad­<lb/>iou&longs;te le lien NL pour &longs;ou&longs;tenir SD <lb/>par &longs;on centre de pe&longs;anteur, & &longs;i l'on <lb/>adiou&longs;te &longs;emblablement le lien MK <lb/>pour &longs;ou&longs;tenir la partie du cylindre CS <lb/>di&longs;iointe d'auec SD, il n'y a nul doute <lb/>que ces deux parties demeureront en­<lb/>core en équilibre au point G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
329 <s id="s.000127">Par où <lb/>l'on void que ces 2. parties e&longs;tant ain&longs;i <lb/>&longs;u&longs;penduës, & attachées ont vn mo­<lb/>ment égal, lequel e&longs;t l'origine, & la <lb/>&longs;ource de l'équilibre du point G, en fai­<lb/>&longs;ant que la di&longs;tance GN &longs;oit d'autant <lb/>plus grande que la di&longs;tance GM, que <lb/>la partie du cylindre ES e&longs;t plus gran­<lb/>de que la partie SD. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
330 <s id="s.000128">Ce qu'il e&longs;t ay&longs;é <lb/>de demon&longs;trer: dautant que la ligne <lb/>MH e&longs;tant la moitié de la ligne HA, <lb/>& la ligne NH e&longs;tant la moitié de la li­<lb/>gne HB, toute la ligne MN &longs;era la <lb/>moitié de toute la ligne AB, dont GB <lb/>e&longs;t encore la moitié, de &longs;orte que MN <lb/>& BG &longs;ont égales entr'elles: de&longs;quel­<lb/>les &longs;i l'on o&longs;te la commune partie GH, <lb/>MH &longs;era égale à GN. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
331 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
332 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
333 <s id="s.000129">Or nous auons de&longs;ia fait voir que <lb/>MG e&longs;t égale à HN. D'où il s'en&longs;uit |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
334 <pb pagenum="16" xlink:href="047/01/036.jpg"/>qu'il y a me&longs;me rai&longs;on de MN à HN, <lb/>que de KI à LI, & de la double de EI <lb/>à la double de DI, & <expan abbr="finalem&etilde;t">finalement</expan> du &longs;o­<lb/>lide CS au &longs;olide SD, dont CI, & DI <lb/>&longs;ont les hauteurs. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
335 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
336 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
337 <s id="s.000130">Il faut donc conclurre qu'il y a me&longs;­<lb/>me rai&longs;on de MG à GN, que de CI à <lb/>DS, & par con&longs;equent que ces deux <lb/>corps CI & DS ne pe&longs;ent pas &longs;eule­<lb/>ment également, quand leurs <expan abbr="di&longs;tãces">di&longs;tances</expan> <lb/>d'auec l'appuy, ou le point d'où ils &longs;ont <lb/>&longs;u&longs;pendus, &longs;ont en rai&longs;on reciproque de <lb/>leurs pe&longs;anteurs, mais au&longs;&longs;i que c'e&longs;t vne <lb/>me&longs;me cho&longs;e que &longs;i l'on attachoit des <lb/>poids égaux à des di&longs;tances égales: de <lb/>&longs;orte que la pe&longs;anteur de CS s'e&longs;tend <lb/>& &longs;e communique en quelque maniere <lb/>virtuellement par delà le &longs;ou&longs;tien G, <lb/>duquel la pe&longs;anteur ID s'éloigne, & &longs;e <lb/>retire, comme l'on peut comprendre <lb/>par ce di&longs;cours. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
338 <s id="s.000131">Ce qui arriuera &longs;em­<lb/>blablement &longs;i ces corps cylindriques <lb/>&longs;ont reduits, & changez aux &longs;pheres X <lb/>& Z, ou en telles figures que l'on vou­<lb/>dra, car l'on aura tou&longs;iours le me&longs;me <lb/>équilibre, la figure n'e&longs;tant qu'vne qua­<lb/>lité, laquelle n'a pas la <expan abbr="pui&longs;sãce">pui&longs;sance</expan> de la pe­<lb/>&longs;anteur, qui deriue de la &longs;eule <expan abbr="quãtité">quantité</expan>. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
339 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
340 <pb pagenum="17" xlink:href="047/01/037.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
341 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
342 <s id="s.000132"><emph type="italics"/>Il faut donc conclurre que les poids inégaux <lb/>pe&longs;ent également, & produi&longs;ent l'équilibre, <lb/>lors qu'ils &longs;ont &longs;u&longs;pendus de di&longs;tances iné­<lb/>gales qui &longs;ont en rai&longs;on reciproque de&longs;dits <lb/>poids.<emph.end type="italics"/><lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
343 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
344 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
345 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
346 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
347 <s id="s.000133"><emph type="center"/>CHAP. V.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
348 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
349 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
350 <s id="s.000134"><emph type="center"/><emph type="italics"/>Où l'on void quelques aduerti&longs;&longs;emens &longs;ur <lb/>le di&longs;cours precedent.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
351 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
352 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
353 <s id="s.000135">APres auoir <expan abbr="demõ&longs;tré">demon&longs;tré</expan> que les mou­<lb/>uements des poids inégaux &longs;ont <lb/>égaux, quand ils &longs;ont attachez à des <lb/>points, dont les di&longs;tances d'auec l'ap­<lb/>puy ont me&longs;me proportion que les <lb/><figure id="id.047.01.037.1.jpg" xlink:href="047/01/037/1.jpg"/><lb/>poids, <lb/>il faut <lb/>enco­<lb/>re re­<lb/>marquer vne autre proprieté qui con­<lb/>firme la verité precedente, car &longs;i l'on <lb/>con&longs;idere la balance BD diui&longs;ée en <lb/>parties inégales par le point C, & que les <lb/>poids <expan abbr="&longs;u&longs;p&etilde;dus">&longs;u&longs;pendus</expan> aux points B & D &longs;oient <lb/>en rai&longs;on reciproque des di&longs;tances BC, <lb/>& CD, c'e&longs;t à dire que le poids atta- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
354 <pb pagenum="18" xlink:href="047/01/038.jpg"/>ché à B &longs;oit d'autant plus grand que le <lb/>poids attaché à D, que la di&longs;tance CD <lb/>e&longs;t plus grande que la di&longs;tance CB, il <lb/>e&longs;t certain que l'vn contrepe&longs;era l'au­<lb/>tre, & qu'ils &longs;eront en equilibre: & que <lb/>&longs;i l'on adiou&longs;te quelque cho&longs;e à l'vn, par <lb/>exemple, au poids D, qu'il de&longs;cendra <lb/>en bas en I, & con&longs;equemment qu'il <lb/>éleuera les poids B en G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
355 <s id="s.000136">Mais &longs;i l'on <lb/>con&longs;idere le mouuement du poids D, <lb/>& du poids B, <expan abbr="l'õ">l'on</expan> trouuera que le mou­<lb/>uement de D de&longs;cendant en I &longs;ur pa&longs;&longs;e <lb/>autant le mouuement de B en G, com­<lb/>me la diftance DC &longs;urpa&longs;&longs;e la di&longs;tance <lb/>CB, ou CG, car les deux angles GCB, <lb/>& DC I &longs;ont égaux, & <expan abbr="con&longs;equemm&etilde;t">con&longs;equemment</expan> <lb/>les deux parties de cercle décrites par <lb/>D & par B &longs;ont &longs;emblables, & ont me&longs;­<lb/>me proportion entr'elles que leurs &longs;e­<lb/>midiametres BC, & CD, par le&longs;quels <lb/>elles ont e&longs;té décrites. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
356 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
357 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
358 <s id="s.000137">D'où il &longs;'en&longs;uit que la vi&longs;te&longs;&longs;e du poids <lb/>D, qui <expan abbr="de&longs;c&etilde;d">de&longs;cend</expan> en I &longs;urpa&longs;&longs;e autant cel­<lb/>le du poids B qui monte en G, que la <lb/>pe&longs;anteur de B e&longs;t plus grande que cel­<lb/>le de D; & que l'on ne peut éleuer B <lb/>que D ne &longs;e meuue plus vi&longs;te: parce <lb/>que la vi&longs;te&longs;&longs;e de D <expan abbr="recomp&etilde;&longs;e">recompen&longs;e</expan> la gran- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
359 <pb pagenum="19" xlink:href="047/01/039.jpg"/>de re&longs;i&longs;tence de B, qui monte <expan abbr="lentem&etilde;t">lentement</expan> <lb/>en G, tandis que D de&longs;cend bien vi&longs;te <lb/>en I, de &longs;orte que G a autant de tardi­<lb/>ueté que de pe&longs;anteur, comme D a au­<lb/>tant de vi&longs;te&longs;&longs;e que de legereté. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
360 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
361 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
362 <s id="s.000138">Or il e&longs;t ay&longs;é de conclurre par tout ce <lb/>di&longs;cours la grande force qu'apporte la <lb/>vi&longs;te&longs;&longs;e du mouuement, pour accroi&longs;tre <lb/><figure id="id.047.01.039.1.jpg" xlink:href="047/01/039/1.jpg"/><lb/>la pui&longs;­<lb/>&longs;ance du <lb/>mobile, <lb/>laquelle <lb/>e&longs;t d'autant plus grande que le mouue­<lb/>ment e&longs;t plus vi&longs;te. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
363 <s id="s.000139">Mais auant que de <lb/>pa&longs;&longs;er outre, il faut remarquer que les <lb/>di&longs;tances qui &longs;ont entre les bras de la <lb/>balance, & l'appuy doiuent e&longs;tre me­<lb/>&longs;urées par la di&longs;tance horizontale: par <lb/>exemple, les poids A & B &longs;ont égale­<lb/>ment éloignez de l'appuy C: c'e&longs;t pour­<lb/>quoy ils &longs;ont en équilibre, qu'ils per­<lb/>dent, lors que le poids B e&longs;t éleué en D, <lb/>dautant que la ligne tirée <expan abbr="perpendicu-lairem&etilde;t">perpendicu­<lb/>lairement</expan> de D &longs;ur l'horizon BCA vers <lb/>le centre de la terre, s'approche plus <lb/>pres de l'appuy C, que ne fait le point <lb/>B: & partant D ne pe&longs;e pas tant que B, <lb/>à rai&longs;on de &longs;a &longs;ituation, & par con&longs;e- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
364 <pb pagenum="20" xlink:href="047/01/040.jpg"/>quent D n'e&longs;t plus équilibre à rai&longs;on <lb/>que la di&longs;tance horizontale de D à C <lb/>e&longs;t moindre que celle de B à C. <lb/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
365 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
366 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
367 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
368 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
369 <s id="s.000140"><emph type="center"/>CHAP. VI.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
370 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
371 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
372 <s id="s.000141"><emph type="center"/><emph type="italics"/>De la Romaine, de la Balance, & du Leuier,<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
373 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
374 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
375 <s id="s.000142">LE me&longs;me principe qui a e&longs;té expli­<lb/>qué dans le 4. & le 5. chap. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
376 <s id="s.000143">&longs;ert en­<lb/>core pour entendre la nature de ces 3. <lb/>in&longs;trumens, dont le premier (que les <lb/>Latins appellent <emph type="italics"/>Statera,<emph.end type="italics"/> les Grecs <lb/><foreign lang="greek">fa/lagc</foreign> <emph type="italics"/>Phalanx<emph.end type="italics"/>; & que nous appellons <lb/>vulgairement la <emph type="italics"/>Romaine,<emph.end type="italics"/> le <emph type="italics"/>Crochet,<emph.end type="italics"/> le <lb/><emph type="italics"/>Pezon,<emph.end type="italics"/> ou le <emph type="italics"/>Poids<emph.end type="italics"/>) e&longs;t vtile pour pe&longs;er <lb/>toutes &longs;ortes de fardeaux par le moyen <lb/>d'vn contrepoids mobile, que l'on <expan abbr="nõ-me">nom­<lb/>me</expan> le <emph type="italics"/>Pezon,<emph.end type="italics"/> & que les Grecs appellent <lb/><foreign lang="greek">antish/xwma, sfai/rwma, a)rth/ma</foreign>, & les Latins <lb/><emph type="italics"/>æquipondium.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
377 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
378 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
379 <s id="s.000144">Soit donc la Romaine BD, dont le <lb/>&longs;ou&longs;tien &longs;oit au point C, que les Grecs <lb/>appellent <foreign lang="greek">swa/rtion, & u(pomo/xlion</foreign>, & les La­<lb/>tins <emph type="italics"/>agina, &longs;partum,<emph.end type="italics"/> & <emph type="italics"/>an&longs;a.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
380 <s id="s.000145"> Que B &longs;oit <lb/>le fardeau que l'on veut pe&longs;er, & D le <lb/>contrepoids. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
381 <s id="s.000146">Ie dis que s'il y a me&longs;me |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
382 <pb pagenum="21" xlink:href="047/01/041.jpg"/>rai&longs;on de la di&longs;tance DC à CB, que du <lb/>poids B au contrepoids D, qu'ils &longs;eront <lb/>en équilibre, parce que les di&longs;tances des <lb/>bras, ou des branches de la Romaine <lb/>&longs;ont en rai&longs;on reciproque des poids qui <lb/>&longs;e contrebalancent. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
383 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
384 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
385 <s id="s.000147">Or cet in&longs;trument n'e&longs;t pas different <lb/>du leuier, qui &longs;ert à remuer des fardeaux <lb/>tre&longs;-lourds, & tre&longs;-pe&longs;ans auec peu de <lb/>force, comme l'on void dans cette me&longs;­<lb/>me figure, dans laquelle B repre&longs;ente <lb/>le fardeau, qu'il faut leuer en G; & C <lb/>repre&longs;ente l'appuy &longs;ur lequel le leuier <lb/>BP pre&longs;&longs;e, & &longs;e meut & la main, ou <lb/>quelque autre force pre&longs;&longs;e le leuier au <lb/>point D, & l abai&longs;&longs;e iu&longs;ques à I pour fai­<lb/>re monter B en G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
386 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
387 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
388 <s id="s.000148">Cecy e&longs;tant po&longs;é, la force mi&longs;e <lb/>en D leuera le poids B toutes & <lb/>quantesfois qu'il y aura me&longs;me rai&longs;on <lb/>de la <expan abbr="di&longs;tãce">di&longs;tance</expan> DC à la di&longs;tance BC, que <lb/>du poids B à la force D, de &longs;orte que <lb/>l'on peut tou&longs;iours diminuer la force à <lb/>me&longs;ure que l'on allonge la partie du le­<lb/>uier CD: par exemple, parce qu'il y a <lb/>5. fois plus loin de C à D que de C à B, <lb/>&longs;i B pe&longs;e 5. liures, la force d'vne liure le <lb/>tiendra en équilibre au point D, parce |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
389 <pb pagenum="22" xlink:href="047/01/042.jpg"/>que CD e&longs;t quintuple de CB. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
390 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
391 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
392 <s id="s.000149">Mais l'auantage de ces 3. in&longs;tru­<lb/>mens ne con&longs;i&longs;te pas à &longs;urmonter, ou à <lb/>tromper la nature, en fai&longs;ant qu'vne <lb/>petite force &longs;urmonte vne grande re&longs;i­<lb/>&longs;tence, car on fera le me&longs;me effet en <lb/>me&longs;me temps, & auec me&longs;me force <expan abbr="sãs">sans</expan> <lb/>la <expan abbr="di&longs;tãce">di&longs;tance</expan> CD, laquelle e&longs;t cau&longs;e que la <lb/>force D a cinq fois plus de chemin à fai­<lb/>re de D en I, que le poids n'en fait de <lb/>B en G, & con&longs;equemment elle em­<lb/><figure id="id.047.01.042.1.jpg" xlink:href="047/01/042/1.jpg"/><lb/>ploye <lb/>5. fois <lb/>pl<emph type="sup"/>9<emph.end type="sup"/> de <lb/>temps <lb/>que &longs;i elle e&longs;toit en L, pour &longs;e tran&longs;por­<lb/>ter en M. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
393 <s id="s.000150">Or la force D e&longs;tant en L le­<lb/>uera la cinquie&longs;me partie du poids B de <lb/>B en G, en me&longs;me temps que D leue B, <lb/>de &longs;orte qu'elle leuera tout le poids B <lb/>en G en repetant 5. fois le chemin LM; <lb/>ce qui e&longs;t la me&longs;me cho&longs;e que de faire <lb/>vne fois le chemin DI: & con&longs;equem­<lb/>ment le tran&longs;port de B en G ne requiert <lb/>pas moins de force, ou moins de <expan abbr="t&etilde;ps">temps</expan>, <lb/>ou vn chemin plus court, &longs;oit que l'on <lb/>mette la force en D, ou en L. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
394 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
395 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
396 <s id="s.000151">D'où il faut conclurre que le leuier |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
397 <pb pagenum="23" xlink:href="047/01/043.jpg"/>&longs;ert &longs;eulement pour mouuoir les far­<lb/>deaux tout d'vn coup, & à vne &longs;eule <lb/>fois, qu'il faudroit autrement mouuoir <lb/>par parties, & à plu&longs;ieurs fois. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
398 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
399 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
400 <s id="s.000152"><emph type="center"/>II. ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
401 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
402 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
403 <s id="s.000153">L'on pourroit icy traiter des deux <lb/>autres &longs;ortes de leuiers, <expan abbr="dõt">dont</expan> parle Guid­<lb/>Vbalde dans &longs;es Mechaniques, mais il <lb/>&longs;uffit de comprendre la rai&longs;on de celuy <lb/>que propo&longs;e cét Autheur, car nous par­<lb/>lerons des autres ailleurs. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
404 <s id="s.000154">I'adjou&longs;te <lb/>&longs;eulement cette figure, par laquelle <lb/>l'on comprendra mieux &longs;on intention. <lb/><figure id="id.047.01.043.1.jpg" xlink:href="047/01/043/1.jpg"/><lb/>Soit <expan abbr="dõc">donc</expan> le <lb/>leuier AF, <lb/>par lequel <lb/>la force ap­<lb/>pliquée en F <lb/>leue le far­<lb/>deau A iu&longs;­<lb/>ques à G, <lb/>encore que <lb/>elle &longs;oit 4. <lb/>fois moindre qu'A, mais l'arc de &longs;on <lb/>chemin FI e&longs;t quatre fois plus grand <lb/>que l'arc AG, car FM, ML, LK, |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
405 <pb pagenum="24" xlink:href="047/01/044.jpg"/>& K I'e&longs;t égal à AG, comme l'on void <lb/>par la con&longs;truction, de &longs;orte 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> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
406 <s id="s.000155">Or la plus <lb/>grande difficulté des Mechaniques <expan abbr="cõ-&longs;i&longs;te">con­<lb/>&longs;i&longs;te</expan>, ce me &longs;emble, à &longs;çauoir pourquoy <lb/>la plus grande di&longs;tance de la force, ou <lb/>du poids F d'auec l'appuy B augmente <lb/>ladite force, & pourquoy le poids A ou <lb/>C e&longs;tant tran&longs;porté en F a quatre fois <lb/>plus de force que deuant. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
407 <s id="s.000156">Ari&longs;tote croit <lb/>que la rai&longs;on en doit e&longs;tre pri&longs;e de ce <lb/>que le centre B empe&longs;che plus les poids <lb/>prochains que les éloignez, dautant <lb/>qu'il les contraint dauantage, & leur <lb/>communique <expan abbr="tãt">tant</expan> qu'il peut &longs;on immo­<lb/>bilité, de &longs;orte que le poids e&longs;tant en C <lb/>ne peut &longs;e mouuoir que de C en H, au <lb/>lieu qu'e&longs;tant en F il fait 4. fois autant <lb/>de chemin en me&longs;me temps, & e&longs;tant <lb/>en D il en fait deux fois autant par le <lb/>quart de cercle commençant en D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
408 <s id="s.000157">Ce <lb/>que l'on peut <expan abbr="ay&longs;ém&etilde;t">ay&longs;ément</expan> appliquer à l'ap­<lb/>proche, ou à la di&longs;tance des creatures <lb/>d'auec la perfection Diuine, laquelle <lb/>rend les creatures rai&longs;onnables dautant <lb/>plus fixes & immobiles dans &longs;a grace, & |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
409 <pb pagenum="25" xlink:href="047/01/045.jpg"/>dans la ferme re&longs;olution du bien, qu'el­<lb/>les s'en approchent plus prés. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
410 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
411 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
412 <s id="s.000158">Mais pour retourner à la rai&longs;on pre­<lb/>cedente, ie dy que le poids qui e&longs;t en F <lb/>veut tomber en droite ligne par FNP <lb/>vers le centre de la terre, & qu'e&longs;tant <lb/>contraint par l'appuy, ou le centre B de <lb/>tomber par le cercle FI, qu'il a plus de <lb/>liberté, & qu'il s'approche 4. fois da­<lb/>uantage de la perpendiculaire FP, que <lb/>lors qu'il de&longs;cend par l'arc CH, com­<lb/>me ie demon&longs;tre par l'angle de contin­<lb/>gence PFN, qui e&longs;t &longs;ouzquadruple de <lb/>l'angle de contingence HCO, & <expan abbr="con-&longs;equ&etilde;ment">con­<lb/>&longs;equemment</expan> la ligne de contrainte HO <lb/>e&longs;t quadruple de la ligne PN: par où <lb/>l'on void clairement que B, & F s'ap­<lb/>prochant également du centre de la <lb/>terre en me&longs;me <expan abbr="t&etilde;ps">temps</expan> par les arcs CH, <lb/>& FP, pui&longs;que les lignes FN & BH <lb/>&longs;ont égales, que F e&longs;t moins contraint <lb/>que C. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
413 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
414 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
415 <s id="s.000159">L'on peut dire la me&longs;me cho&longs;e de la <lb/>force de la main mi&longs;e en F, dont <expan abbr="l'int&etilde;-tion">l'inten­<lb/>tion</expan> e&longs;t de &longs;e mouuoir par la ligne droi­<lb/>te FP. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
416 <s id="s.000160">Ie lai&longs;&longs;e maintenant plu&longs;ieurs <lb/>autres con&longs;iderations qui &longs;e peuuent <lb/>expliquer par cette figure: par exem- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
417 <pb pagenum="26" xlink:href="047/01/046.jpg"/>ple, que le poids F, ou B <expan abbr="e&longs;tãt">e&longs;tant</expan> en &longs;a plei­<lb/>ne liberté, de&longs;cend de F en P ou de B <lb/>en I en deux fois autant de temps qu'il <lb/>de&longs;cend de F en N, comme i'ay mon­<lb/>&longs;tré ailleurs. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
418 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
419 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
420 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
421 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
422 <s id="s.000161"><emph type="center"/>CHAP. VII.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
423 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
424 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
425 <s id="s.000162"><emph type="center"/><emph type="italics"/>Du Tour, de la Rouë, de la Gruë, du Guin­<lb/>dax, & des autres in&longs;trumens <lb/>&longs;emblables.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
426 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
427 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
428 <s id="s.000163">LEs Latins appellent le Tour <emph type="italics"/>axis in <lb/>peritrochio,<emph.end type="italics"/> parce qu'il n'e&longs;t autre <lb/>cho&longs;e qu'vn axe, ou vn e&longs;&longs;ieu, <expan abbr="dõt">dont</expan> les ex­<lb/>tremitez &longs;ont appuyées &longs;ur deux pieces <lb/>de bois, &longs;ur le&longs;quelles il &longs;e tourne. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
429 <s id="s.000164">Or la <lb/>nature de cet in&longs;trument depend im­<lb/>mediatement du leuier, car il n'e&longs;t au­<lb/>tre cho&longs;e qu'vn leuier perpetuel, & <expan abbr="cõ-tinué">con­<lb/>tinué</expan>. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
430 <s id="s.000165">Car &longs;oit le leuier BAC, dont le <lb/>&longs;ou&longs;tien e&longs;t en A; & que le poids G &longs;oit <lb/>attaché au point B, & que la force &longs;oit <lb/>au point C, &longs;i l'on tran&longs;porte le leuier <lb/>en AD, le poids G &longs;e hau&longs;&longs;era vers D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
431 <s id="s.000166"><lb/>Mais &longs;i l'on veut le faire monter plus <lb/>haut, il faut arre&longs;ter le poids en D, afin |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
432 <pb pagenum="27" xlink:href="047/01/047.jpg"/>de le releuer encore vne autrefois de B <lb/>à D en remettant le leuier dans la me&longs;­<lb/>me &longs;ituation qu'il auoit deuant, & de <lb/>leuer peu à peu le poids G, iu&longs;ques à ce <lb/>qu'il &longs;oit arriué au point B, ou à tel au­<lb/>tre point que l'on voudra. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
433 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
434 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
435 <s id="s.000167">Mais la repetition trop frequente de <lb/><figure id="id.047.01.047.1.jpg" xlink:href="047/01/047/1.jpg"/><lb/>cette action <expan abbr="e&longs;tãt">e&longs;tant</expan> <lb/>trop incommode, <lb/>ou trop ennuyeu­<lb/>&longs;e, l'on a inuenté <lb/>le Tour, & la <lb/>Rouë, qui ioi­<lb/>gnent en&longs;emble <lb/>vne infinité de le­<lb/>uiers, afin de continuer <expan abbr="l'operatiõ">l'operation</expan> &longs;ans <lb/>aucune interruption. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
436 <s id="s.000168">C'e&longs;t pour ce &longs;u­<lb/>iet que la rouë &longs;e meut à l'entour du <lb/>centre A, dont le rayon e&longs;t AC, & le <lb/>&longs;emidiametre de &longs;on e&longs;&longs;ieu e&longs;t AB; le­<lb/>quel doit e&longs;tre d'vne matiere bien &longs;o­<lb/>lide, & bien forte, parce qu'il &longs;upporte <lb/>toute la pe&longs;anteur du fardeau. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
437 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
438 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
439 <s id="s.000169">L'e&longs;&longs;ieu A trauer&longs;e la rouë par le mi­<lb/>lieu, & doit e&longs;tre &longs;ou&longs;tenu de deux <lb/>pieds tres-forts, & e&longs;tre enuironné de <lb/>la chorde DBG, à laquelle on attache <lb/>le fardeau G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
440 <s id="s.000170">Il faut au&longs;&longs;i mettre vne |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
441 <pb pagenum="28" xlink:href="047/01/048.jpg"/>autre chorde àlentour de la <expan abbr="grãde">grande</expan> rouë, <lb/>afin d'y attacher l'autre fardeau I. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
442 <s id="s.000171">Or <lb/>cecy e&longs;tant po&longs;é, il e&longs;t euident que &longs;i <lb/>CA e&longs;t à BA comme le fardeau G au <lb/>fardeau I, que le poids I &longs;ou&longs;tiendra & <lb/><expan abbr="contrebalãcera">contrebalancera</expan> G, & que &longs;i l'on adiou­<lb/>&longs;te quelque force, ou poids à I, qu'il <lb/>l'emportera. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
443 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
444 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
445 <s id="s.000172">Et parce que les chordes qui <expan abbr="&longs;ou&longs;ti&etilde;-nent">&longs;ou&longs;tien­<lb/>nent</expan> le poids touchent tou&longs;iours la <expan abbr="cir-confer&etilde;ce">cir­<lb/>conference</expan> de la rouë auec laquelle l'e&longs;­<lb/>&longs;ieu tourne, & con&longs;equemment qu'el­<lb/>les &longs;ont tou&longs;iours en me&longs;me &longs;ituation à <lb/>l'égard des di&longs;tances BA, & CA, le <lb/>mouuement &longs;e continuë perpetuelle­<lb/>ment, & le poids I de&longs;cendant fait <expan abbr="mõ-ter">mon­<lb/>ter</expan> le poids G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
446 <s id="s.000173">Mais il faut remarquer <lb/>qu'il e&longs;t nece&longs;&longs;aire de mettre la chorde <lb/>à l'entour de la rouë, afin que le poids <lb/>demeure &longs;u&longs;pendu du point de la cir­<lb/>conference que la chorde touche: Car <lb/>&longs;i la chorde e&longs;toit pendante du point F, <lb/>elle couperoit la rouë par FN, & par <lb/><expan abbr="con&longs;equ&etilde;t">con&longs;equent</expan> elle ne pourroit &longs;e mouuoir, <lb/>parce que le moment, ou la force du <lb/>poids N &longs;eroit diminuée, puis qu'elle <lb/>n'e&longs;t pas plus grande que &longs;i la chorde <lb/>e&longs;toit attachée au point N, dautant que |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
447 <pb pagenum="29" xlink:href="047/01/049.jpg"/>&longs;a di&longs;tance d'auec le centre A e&longs;t deter­<lb/>minée par la ligne AN, (comme l'on <lb/>demon&longs;tre par la perpendiculaire FN) <lb/>& non par le &longs;emidiametre FA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
448 <s id="s.000174">Il faut <lb/>donc que la force inanimée, qui n'a <lb/>point d'autre vertu que d'aller en bas, <lb/>&longs;oit pendue à vne chorde qui touche la <lb/>rouë & qui ne la coupe pas. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
449 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
450 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
451 <s id="s.000175">Mais &longs;i la force e&longs;t animée, elle peut <lb/>faire tourner la rouë pour leuer le poids <lb/>en quelque endroit de la rouë qu'elle &longs;e <lb/>rencontre: par exemple en F, mais elle <lb/>tirera par la ligne trauer&longs;ante FL qui <lb/>fera vn angle droit auec la ligne AF, & <lb/>non par la perpendiculaire FN. L'on <lb/>peut neantmoins faire &longs;eruir 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 LK, & leuera le poids G en B, <lb/>& <expan abbr="con&longs;equemm&etilde;t">con&longs;equemment</expan> elle agit par la ligne <lb/>FL, & par ce moyen elle &longs;e con&longs;erue <lb/>tou&longs;iours en me&longs;me di&longs;tance d'auec le <lb/>centre de la rouë, & de l'e&longs;&longs;ieu A: de <lb/>&longs;orte que le leuier BC &longs;e rend perpe­<lb/>tuel par l'entremi&longs;e de la rouë. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
452 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
453 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
454 <s id="s.000176">Il faut donc conclurre de tout ce di&longs;­<lb/>cours que dans cét in&longs;trument la force |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
455 <pb pagenum="30" xlink:href="047/01/050.jpg"/>C ou F doit tou&longs;iours auoir me&longs;me <expan abbr="pro-portiõ">pro­<lb/>portion</expan> auec le poids, que le &longs;emidiame <lb/>tre de l'axe BA a auec le &longs;emidiametre <lb/>de la rouë AC. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
456 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
457 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
458 <s id="s.000177">Quant à la Gruë elle e&longs;t de me&longs;me <lb/>nature que le Tour, mais le Cabe&longs;tan, <lb/>le Guindax, ou l'orgene e&longs;t vn peu dif­<lb/>rent, car &longs;on axe &longs;e meut perpendicu­<lb/>laire à l'orizon, & &longs;a rouë &longs;e meut hori­<lb/>zontalement, au lieu que l'axe du Tour <lb/><figure id="id.047.01.050.1.jpg" xlink:href="047/01/050/1.jpg"/><lb/>&longs;e meut horizontale­<lb/>ment, & &longs;a rouë <expan abbr="per-pendiculairem&etilde;t">per­<lb/>pendiculairement</expan>. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
459 <s id="s.000178">Ce <lb/>qui e&longs;t tres-ay&longs;é à <expan abbr="cõ-prendre">com­<lb/>prendre</expan> par le moyen <lb/>de cette figure, dont <lb/>il faut s'imaginer que <lb/>l'axe DE &longs;oit <expan abbr="perp&etilde;-diculaire">perpen­<lb/>diculaire</expan> à l'horizon, & que la rouë F <lb/>CG &longs;oit parallele au me&longs;me horizon. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
460 <s id="s.000179"><lb/>Or la chorde DH tirera, ou trainera le <lb/>fardeau H iu&longs;ques à l'axe B, ou iu&longs;ques <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/>GC, & fera autant de tours comme il <lb/>e&longs;t nece&longs;&longs;aire pour attirer le fardeau par <lb/>le moyen de la chorde DH, qui &longs;'en- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
461 <pb pagenum="31" xlink:href="047/01/051.jpg"/>tortille à l'entour de l'e&longs;&longs;ieu DEA: <lb/>d'où il e&longs;t ay&longs;é de conclurre la fabrique <lb/>du Guindax, ou du Cabe&longs;tan. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
462 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
463 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
464 <s id="s.000180">Cecy e&longs;tant po&longs;é, il e&longs;t euident que <lb/>le point, ou le centre du &longs;ou&longs;tien e&longs;t en <lb/>B, & que l'éloignement de la force F &longs;e <lb/>prend du point B, & celuy du poids de <lb/>B à D, de &longs;orte que FBD forme vn le­<lb/>uier, en vertu duquel la force F acquiert <lb/>vne force ègale à la re&longs;i&longs;tance du poids, <lb/>lors que la di&longs;tance FB a me&longs;me pro­<lb/>portion à BD, que le fardeau H à la <lb/>force F. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
465 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
466 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
467 <s id="s.000181">Mais la nature n'e&longs;t point trompée ny <lb/>&longs;urmontée, & l'on ne gaigne rien, par­<lb/>ce que &longs;i le fardeau a dix fois plus de re­<lb/>&longs;i&longs;tence que la force F, la di&longs;tance FB <lb/>doit nece&longs;&longs;airement e&longs;tre decuple de <lb/>BD, & la circonference FCG decuple <lb/>de la <expan abbr="circõference">circonference</expan> EAD; de &longs;orte que <lb/>le poids ne fera que la dixie&longs;me partie <lb/>du chemin de la circonference GCF; <lb/>par <expan abbr="cõ&longs;equent">con&longs;equent</expan> &longs;i l'on diui&longs;oit le fardeau <lb/>en 10. parties, chacune répondroit à la <lb/>dixie&longs;me partie du mouuement & de la <lb/>force F, c'e&longs;t pourquoy &longs;i l'on portoit <lb/>en dix voyages chaque dixie&longs;me partie <lb/>autour de l'axe, l'on ne chemineroit |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
468 <pb pagenum="32" xlink:href="047/01/052.jpg"/>pas <expan abbr="dauãtage">dauantage</expan> que &longs;i l'on fai&longs;oit vne fois <lb/>le tour GCF, & l'on <expan abbr="cõduiroit">conduiroit</expan> le me&longs;­<lb/>me fardeau en me&longs;me temps à la me&longs;­<lb/>me di&longs;tance. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
469 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
470 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
471 <s id="s.000182">Il faut donc conclurre que la com­<lb/>modité de cette Machine con&longs;i&longs;te &longs;eu­<lb/>lement à attirer le fardeau tout à la fois <lb/>&longs;ans le diui&longs;er; & qu'elle ne &longs;ert pas <lb/>pour l'attirer plus ay&longs;ément, ou plus <lb/>vi&longs;te, ou plus loin que la me&longs;me force <lb/>le <expan abbr="cõduiroit">conduiroit</expan> en le diui&longs;ant en 10.parties. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
472 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
473 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
474 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
475 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
476 <s id="s.000183"><emph type="center"/>CHAP. VIII.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
477 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
478 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
479 <s id="s.000184"><emph type="center"/><emph type="italics"/>De la force, & de l'v&longs;age des Poulies.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
480 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
481 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
482 <s id="s.000185">APres auoir con&longs;ideré les <expan abbr="in&longs;trum&etilde;s">in&longs;trumens</expan> <lb/>qui &longs;e redui&longs;ent aux contrepoids, <lb/>& à l'équilibre, comme à leur principe, <lb/><figure id="id.047.01.052.1.jpg" xlink:href="047/01/052/1.jpg"/><lb/>& à leur <lb/><expan abbr="fondem&etilde;t">fondement</expan> <lb/>il faut par­<lb/>ler d'vne <lb/>autre &longs;or­<lb/>te de le­<lb/>uier pour entendre la nature des pou­<lb/>lies, & de beaucoup d'autres effets Me- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
483 <pb pagenum="33" xlink:href="047/01/053.jpg"/>chaniques. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
484 <s id="s.000186">Or le leuier, dont nous <lb/>auons parlé, &longs;uppo&longs;e que le poids &longs;oit <lb/>à l'vne de &longs;es extremitez, & la force à <lb/>l'autre; de &longs;orte que &longs;on &longs;ou&longs;tien doit <lb/>e&longs;tre entre &longs;es deux extremitez. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
485 <s id="s.000187">Mais <lb/>&longs;i l'on met le &longs;ou&longs;tien à l'extremité du <lb/>leuier, & la force à l'autre extremité C, <lb/>& que le point D &longs;oit attaché à quelque <lb/>point du milieu: par exemple, au point <lb/>B, il e&longs;t certain que &longs;i le poids e&longs;t égale­<lb/>ment éloigné des deux extremes, com­<lb/>me quand il e&longs;t au point F, que la force <lb/>qui le &longs;ou&longs;tient en F &longs;era également di­<lb/>ui&longs;ée: & par con&longs;equent la moitié du <lb/>poids e&longs;t &longs;ou&longs;tenuë par C, & l'autre <lb/>moitié par A. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
486 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
487 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
488 <s id="s.000188">S'il arriue que le fardeau &longs;oit attaché <lb/>ailleurs, par exemple en B, la force C <lb/>&longs;ou&longs;tiendra le fardeau en B, quand il <lb/>aura me&longs;me proportion auec la dite for­<lb/>ce, que la di&longs;tance AC à la <expan abbr="di&longs;tãce">di&longs;tance</expan> BA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
489 <s id="s.000189"><lb/>Mais pour comprendre cecy, il faut <lb/>s'imaginer que la ligne BA &longs;oit prolon­<lb/>gee en G, & que les di&longs;tances BA, AG <lb/>&longs;oient égales, & que le fardeau &longs;oit at­<lb/>taché au point C, & qu'il &longs;oit égal au <lb/>poids D, il e&longs;t certain qu'à cau&longs;e de l'é­<lb/>galité des poids E, D, & des di&longs;tances |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
490 <pb pagenum="34" xlink:href="047/01/054.jpg"/>AC, & BA, le mouuement du poids <lb/>D &longs;uffira pour le &longs;ou&longs;tenir, donc la for­<lb/>ce du moment égal à celuy du point E, <lb/>lequel le pourra &longs;ou&longs;tenir, &longs;uffira enco­<lb/>re pour &longs;ou&longs;tenir le poids D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
491 <s id="s.000190">Mais &longs;i l'on <lb/>veut &longs;ou&longs;tenir E au point C, la force <lb/>doit e&longs;tre à E, comme GA à CA, donc <lb/>la me&longs;me force pourra &longs;ou&longs;tenir le <lb/>point D égal à E. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
492 <s id="s.000191">Or la proportion qui <lb/>e&longs;t de GA à EA, e&longs;t au&longs;&longs;i de BA à CA, <lb/>GA e&longs;tant égal à BA: Et parce que les <lb/>poids ED &longs;ont égaux, chacun d'eux <lb/>aura la me&longs;me <expan abbr="proportiõ">proportion</expan> à la force mi&longs;e <lb/>en C. D'où l'on conclud que la force C <lb/>e&longs;t égale au <expan abbr="mom&etilde;t">moment</expan> D, lors qu'il a me&longs;­<lb/>me proportion que la di&longs;tance AB à <lb/>CA. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
493 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
494 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
495 <s id="s.000192">Or il e&longs;t tres-ay&longs;é de conclurre de <lb/>tout ce di&longs;cours que l'on perd autant <lb/>de vi&longs;te&longs;&longs;e comme l'on acquiert de for­<lb/>ce tant auec le leuier ordinaire qu'auec <lb/>celuy-cy: car quand la force C hau&longs;&longs;e <lb/>le leuier AC, pour le <expan abbr="trã&longs;porter">tran&longs;porter</expan> en AI, <lb/>le poids &longs;e meut par l'interualle BH, <lb/>lequel e&longs;t dautant moindre que l'e&longs;pa­<lb/>ce IC, qu'a fait la force, qu'AB e&longs;t <lb/>moindre qu'AC. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
496 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
497 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
498 <s id="s.000193">Ces principes ayant e&longs;té declarez, il |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
499 <pb pagenum="35" xlink:href="047/01/055.jpg"/>faut expliquer la rai&longs;on des poulies, <expan abbr="dõt">dont</expan> <lb/>nous declarerons la con&longs;truction & l'v­<lb/>&longs;age. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
500 <s id="s.000194">Et pour ce &longs;uiet &longs;uppo&longs;ons que <lb/>l'on ayt la poulie ABC faite de metal, <lb/>ou d'vn bois fort dur, & qu'elle pui&longs;&longs;e <lb/>tourner &longs;ur &longs;on e&longs;&longs;ieu, qui pa&longs;&longs;e par le <lb/>centre D: & puis il faut mettre à l'en­<lb/><figure id="id.047.01.055.1.jpg" xlink:href="047/01/055/1.jpg"/><lb/>tour la chorde FCBAE, <lb/>à laquelle le poids E &longs;oit at­<lb/>taché. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
501 <s id="s.000195">Quant à la force, el­<lb/>le e&longs;t à l'autre bout de la <lb/>chorde au point F, où elle <lb/>&longs;ou&longs;tient le fardeau E. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
502 <s id="s.000196">Car <lb/>&longs;i <expan abbr="l'õ">l'on</expan> &longs;'imagine deux lignes <lb/>égales tirées du centre D, <lb/>à &longs;çauoir DC, & DA, l'on <lb/>aura l'équilibre de deux <lb/><expan abbr="mom&etilde;ts">moments</expan>, ou de deux poids <lb/>égaux, également éloignez <lb/>de l'appuy D, qui e&longs;t le <lb/>point du &longs;ou&longs;tien, lequel e&longs;t <lb/>également éloigné de tous <lb/>les co&longs;tez de la <expan abbr="circõference">circonference</expan> du cercle, <lb/>ou de la poulie ABC. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
503 <s id="s.000197">Or ces deux li­<lb/>gnes, qui &longs;ont les bras du leuier, ou de <lb/>la balance, determinent les di&longs;tances <lb/>des deux &longs;u&longs;pen&longs;ions d'auec le centre <lb/>D: C'e&longs;t pourquoy le poids qui e&longs;t &longs;u&longs;- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
504 <pb pagenum="36" xlink:href="047/01/056.jpg"/>pendu du point A ne peut e&longs;tre &longs;ou&longs;te­<lb/>nu au point C que par vne égale force, <lb/>ou par vn poids égal, &longs;uiuant la nature <lb/>des poids égaux qui pendent de di&longs;tan­<lb/>ces égales. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
505 <s id="s.000198">Car encore que la force F <lb/>tourne à l'entour de la poulie ABC, <lb/>cela ne change nullement l'habitude, <lb/>& le rapport que le poids, & la force <lb/>ont à la di&longs;tance AD, & DC: dautant <lb/>que la poulie garde vn perpetuel équi­<lb/>libre en &longs;e tournant. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
506 <s id="s.000199">D'où il faut con­<lb/>clurre qu'Ari&longs;tote &longs;e trompe lors qu'il <lb/>dit que l'on leue plus ay&longs;ément les far­<lb/>deaux auec les plus grandes poulies, car <lb/>encore que la di&longs;tance, ou le demidia­<lb/>metre de la poulie DC &longs;'augmente, ce­<lb/>la ne &longs;ert de rien à rai&longs;on que la di&longs;tan­<lb/>ce DA &longs;'augmente également. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
507 <s id="s.000200">De &longs;or­<lb/>te que l'on ne reçoit nulle commodité <lb/>de cét in&longs;trument en ce qui concerne <lb/>la <expan abbr="diminutiõ">diminution</expan> de la peine. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
508 <s id="s.000201">Mais &longs;a com­<lb/>modité <expan abbr="cõ&longs;i&longs;te">con&longs;i&longs;te</expan> à tirer de l'eau des puits, <lb/>parce que l'on tire de haut en bas, & <expan abbr="cõ-&longs;equemment">con­<lb/>&longs;equemment</expan> le poids des bras, & du <lb/>corps &longs;eruent à cela, au lieu qu'en <expan abbr="tirãt">tirant</expan> <lb/>à force de bras de bas en haut &longs;ans l'ay­<lb/>de des poulies, le poids des bras, & du <lb/>corps nui&longs;ent, c'e&longs;t pourquoy la poulie |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
509 <pb pagenum="37" xlink:href="047/01/057.jpg"/>apporte de la commodité à l'applica­<lb/>tion de la force. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
510 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
511 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
512 <s id="s.000202">Mais &longs;i l'on v&longs;e d'vne autre &longs;orte de <lb/>poulie, dont on void icy la figure, l'on <lb/>pourra leuer vn fardeau auec moins de <lb/><figure id="id.047.01.057.1.jpg" xlink:href="047/01/057/1.jpg"/><lb/>force, car &longs;i la poulie BDC, <lb/>qui &longs;e doit mouuoir au tour <lb/>du centre E, e&longs;t mi&longs;e dans <lb/>&longs;a quai&longs;&longs;e, ou dans &longs;on ar­<lb/>meure D, que G &longs;oit le far­<lb/>deau, & que la chorde AB <lb/>CF pa&longs;&longs;ant à l'entour de la­<lb/>dite poulie &longs;oit arre&longs;té par <lb/>le bout à quelque cheuille, <lb/>au point ferme, & immobi­<lb/>le; & <expan abbr="finalem&etilde;t">finalement</expan> &longs;i l'on applique la force <lb/>au point C, ou F, qui &longs;e meuue en haut <lb/>vers H, & con&longs;equemment qui fa&longs;&longs;e <lb/>monter la quai&longs;&longs;e D, & quant & quant <lb/>le fardeau G, ie dy que la force mi&longs;e en <lb/>C, ou en F, n'e&longs;t que la moitié du far­<lb/>deau qu'elle &longs;ou&longs;tient, & par <expan abbr="con&longs;equ&etilde;t">con&longs;equent</expan> <lb/>que le <expan abbr="mom&etilde;t">moment</expan> en C e&longs;t &longs;ouz double du <lb/>moment en G; parce que G e&longs;t &longs;ou&longs;te­<lb/>nu, & porté par les deux parties de la <lb/>chorde AB, & CD, de &longs;orte qu'il e&longs;t <lb/>diui&longs;é en deux parties égales, parce que <lb/>le diametre BC e&longs;t &longs;emblable au fleau |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
513 <pb pagenum="38" xlink:href="047/01/058.jpg"/>d'vne balance, & le fardeau e&longs;t &longs;u&longs;pen­<lb/>du du point E: & puis le &longs;ou&longs;tien e&longs;t <lb/>au point B, & la force e&longs;t au point C, <lb/>c'e&longs;t pourquoy il y a me&longs;me rai&longs;on de <lb/>la force au fardeau, que de BE à BC, <lb/>donc elle e&longs;t la moitié du fardeau. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
514 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
515 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
516 <s id="s.000203">Car encore que la poulie &longs;e tourne, <lb/>tandis que la force &longs;e meut vers H, <lb/>neantmoins la &longs;u&longs;dite proportion ne <lb/>change point, comme l'on void aux <lb/>points B, E, C, & le leuier BC e&longs;t rendu <lb/>perpetuel. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
517 <s id="s.000204">Mais en recompen&longs;e le che­<lb/>min que fait la force e&longs;t double du che­<lb/>min que fait le fardeau, car quand il e&longs;t <lb/>arriué au point F, c'e&longs;t à dire <expan abbr="quãd">quand</expan> il e&longs;t <lb/>monté au&longs;&longs;i haut qu'A, la force à mon­<lb/>té deux fois autant, c'e&longs;t à dire de C en <lb/>H. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
518 <s id="s.000205">Mais il arriue icy vne incommodi­<lb/>té à la force, à rai&longs;on de &longs;a pe&longs;anteur <lb/>qui la fait incliner en bas, c'e&longs;t pour­<lb/>quoy <expan abbr="l'õ">l'on</expan> y a remedié par l'<expan abbr="additiõ">addition</expan> d'vne <lb/>autre poulie que <expan abbr="l'õ">l'on</expan> met en haut, <expan abbr="cõme">comme</expan> <lb/>l'on peut comprendre par cette figure, <lb/>quoy que renuer&longs;ée, dans laquelle il <lb/>faut con&longs;iderer la chorde IBAEF, <lb/>qui pa&longs;&longs;e à l'entour des poulies BA, & <lb/>FE, & e&longs;t attachée à l'armure du point <lb/>D de la quai&longs;&longs;e CD, qui e&longs;t attachée |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
519 <pb pagenum="39" xlink:href="047/01/059.jpg"/>en haut à la poûtre, ou à la pierre H, de <lb/><figure id="id.047.01.059.1.jpg" xlink:href="047/01/059/1.jpg"/><lb/>&longs;orte 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/>quai&longs;&longs;e FE. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
520 <s id="s.000206">Or cette force <lb/>ne doit pas e&longs;tre moindre <lb/>qu'au point A, dautant <lb/>que les momens du poids, <lb/>& de la force &longs;ont égale­<lb/>ment di&longs;tans du centre G, <lb/>car BG e&longs;t égal à GA, c'e&longs;t <lb/>pourquoy la poulie BA <lb/>n'augmente pas la force. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
521 <s id="s.000207"><lb/>Où il faut remarquer que <lb/>les Italiens appellent cét in&longs;trument <emph type="italics"/>la <lb/>Taglia,<emph.end type="italics"/> & les Grecs, & les Latins <emph type="italics"/>Tro­<lb/>chlea<emph.end type="italics"/>: mais nous le nommons en Fran­<lb/>ce <emph type="italics"/>Mouffles<emph.end type="italics"/>; ce qui comprend l'armeu­<lb/>re, ou la quai&longs;&longs;e, qui &longs;ert de boëte aux <lb/>poulies, & les poulies, & tout ce qui <lb/>&longs;ert pour la perfection de cette machi­<lb/>ne: on l'appelle au&longs;&longs;i <emph type="italics"/>écharpes armée de <lb/>poulies.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
522 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
523 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
524 <s id="s.000208">Or apres auoir mon&longs;tré par les deux <lb/>figures precedentes que l'on peut dou­<lb/>bler la force par le moyen des poulies, |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
525 <pb pagenum="40" xlink:href="047/01/060.jpg"/>il faut maintenant faire voir que l'on <lb/>peut l'augmenter tant que l'on voudra, <lb/>comme ie demon&longs;tre aux <expan abbr="nõbre">nombre</expan> pairs, <lb/>& impair des poulies: c'e&longs;t pourquoy <lb/>ie mets le Lemme qui &longs;uit, afin de de­<lb/>mon&longs;trer la maniere de multiplier la <lb/>force en rai&longs;on quadruple. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
526 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
527 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
528 <s id="s.000209"><emph type="center"/><emph type="italics"/>LEMME.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
529 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
530 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
531 <s id="s.000210">Soient donc les deux lignes AB, & <lb/><figure id="id.047.01.060.1.jpg" xlink:href="047/01/060/1.jpg"/><lb/>CD, qui repre­<lb/>&longs;entent deux le­<lb/>uiers, qui ont <lb/>leurs appuis A & <lb/>C à leurs extre­<lb/>mitez, & que le <lb/>fardeau G &longs;oit <lb/>&longs;u&longs;pendu au milieu E, & F & qu'il &longs;oit <lb/>&longs;ou&longs;tenu par les deux forces B & D ap­<lb/>pliquées aux autres extremitez des le­<lb/>uiers, le&longs;quelles ie &longs;uppo&longs;e auoir vn <lb/>moment égal, ie dy que le moment de <lb/>chacune e&longs;t égal au moment de la qua­<lb/>trie&longs;me partie du poids G, car les deux <lb/>forces B & D &longs;ou&longs;tiennent également, <lb/>& <expan abbr="con&longs;equemm&etilde;t">con&longs;equemment</expan> la force D n'e&longs;t con­<lb/>trariée que par la moitié du poids G qui |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
532 <pb pagenum="41" xlink:href="047/01/061.jpg"/>e&longs;t attaché à F. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
533 <s id="s.000211">Mais quand la force D <lb/>&longs;ou&longs;tient la moitié du fardeau par le <lb/>moyen du leuier CD, elle a me&longs;me <lb/>proportion à G que CD à CF, c'e&longs;t à <lb/>dire &longs;ouz double, donc le <expan abbr="mom&etilde;t">moment</expan> D e&longs;t <lb/>double du moment de la moitié du <lb/>poids G qu'il &longs;ou&longs;tient, donc il e&longs;t le <lb/>quart du moment des poids entier. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
534 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
535 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
536 <s id="s.000212">L'on demon&longs;tre la me&longs;me cho&longs;e du <lb/>moment B, de &longs;orte qu'il e&longs;t rai&longs;onna­<lb/>ble que le poids e&longs;tant également &longs;ou­<lb/>&longs;tenu par les 4 poulies qui &longs;e voyent <lb/>dans cette autre figure, chacune porte <lb/>la quatrie&longs;me partie du fardeau: ce que <lb/>ie mon&longs;tre en cette maniere. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
537 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
538 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
539 <s id="s.000213">Que le poids X &longs;oit attaché au point <lb/>K par le moyen du mouffle KX, ie dy <lb/>que la force égale à la quatrie&longs;me par­<lb/>tie du fardeau X, le &longs;ou&longs;tiendra, car &longs;i <lb/>l'on s'imagine que les deux diametres <lb/>BA & DE &longs;oient deux leuiers &longs;embla­<lb/>bles à ceux que nous auons expliquez <lb/>dans la figure precedente, & que le far­<lb/>deau &longs;oit &longs;u&longs;pendu aux points CEF, <expan abbr="l'õ">l'on</expan> <lb/>trouuera que les appuis, ou les &longs;upports <lb/>de&longs;dits leuiers répondent aux points D <lb/>& A, con&longs;equemment que la force ap­<lb/>pliquée en B ou en E &longs;ou&longs;tiendra le |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
540 <pb pagenum="42" xlink:href="047/01/062.jpg"/>poids X, dont il &longs;era &longs;ousquadruple. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
541 <figure id="id.047.01.062.1.jpg" xlink:href="047/01/062/1.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
542 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
543 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
544 <s id="s.000214">>Et &longs;i <expan abbr="l'õ">l'on</expan> adiou&longs;te vne pou­<lb/>lie en haut, & que la chor­<lb/>de pa&longs;&longs;e par OMB, la <lb/>force L, &longs;ou&longs;tiendra le <lb/>me&longs;me poids. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
545 <s id="s.000215">Mais il <lb/>faut accommoder les 4. <lb/>chordes, <expan abbr="cõme">comme</expan> elles &longs;ont <lb/>dans ces mouffles, en &longs;or­<lb/>te qu'elles ne &longs;e me&longs;lent <lb/>point les vnes auec les au­<lb/>tres. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
546 <s id="s.000216">Or il faut icy remar­<lb/>quer ce que nous auons <lb/>de&longs;ia dit plu&longs;ieurs fois, à <lb/>&longs;çauoir que <expan abbr="l'õ">l'on</expan> ne gaigne <lb/>rien auec ces in&longs;trumens, <lb/>car &longs;i l'on épargne la for­<lb/>ce, l'on augmente le <expan abbr="t&etilde;ps">temps</expan>: <lb/>de là vient qu'il faut tirer <lb/>quatre pieds de chorde <lb/>depuis O iu&longs;ques à L pour faire monter <lb/>le poids X d'vn pied de X en C: & l'on <lb/>trouuerra perpetuellement que l'on <lb/>perd autant de temps, ou que l'on e&longs;t <lb/>contraint d'allonger autant le chemin, <lb/>que l'on gaigne de force. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
547 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
548 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
549 <s id="s.000217">Si l'on veut que la force s'augmente <lb/>au &longs;extuple, il faut adiou&longs;ter vne autre |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
550 <pb pagenum="43" xlink:href="047/01/063.jpg"/>poulie en bas, comme ie mon&longs;tre par la <lb/><figure id="id.047.01.063.1.jpg" xlink:href="047/01/063/1.jpg"/><lb/>figure precedente, <expan abbr="dãs">dans</expan> <lb/>laquelle on void les <lb/>trois leuiers AB, CD, <lb/>& FE. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
551 <s id="s.000218">Que le poids K <lb/>&longs;oit attaché a G, H, & <lb/>I, & que les trois for­<lb/>ces B, D, F, &longs;oient éga­<lb/>les, & qu'elles &longs;ou&longs;tien­<lb/>nent <expan abbr="égalem&etilde;t">également</expan> le poids K, afin que cha­<lb/>cune en &longs;ou&longs;tienne le tiers, & parce que <lb/>la force B &longs;ou&longs;tenant le poids <expan abbr="p&etilde;du">pendu</expan> à G <lb/>e&longs;t la moitié du poids, & que nous <expan abbr="auõs">auons</expan> <lb/>&longs;uppo&longs;é qu'il &longs;ou&longs;tient le tiers dudit <lb/>poids, il s'en&longs;uit que la force B e&longs;t éga­<lb/>le à la moitié du tiers de K, c'e&longs;t à dire <lb/>à la &longs;ixie&longs;me partie de K. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
552 <s id="s.000219">Car il &longs;aut tou­<lb/>&longs;iours s'imaginer que les appuys A, C, E <lb/>&longs;ou&longs;tiennent autant du poids que les <lb/>forces B, D, F. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
553 <s id="s.000220">Par où il e&longs;t ay&longs;è de <lb/>comprendre que le mouffle inferieur <lb/>ayant trois poulies, & le &longs;uperieur deux, <lb/>ou 3. autres, que l'on peut multiplier la <lb/>force &longs;elon le nombre &longs;enaire: ce que <lb/>l'on peut ay&longs;ément s'imaginer en con­<lb/>&longs;iderant vn mouffle compo&longs;é de &longs;ix <lb/>poulies. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
554 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
555 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
556 <s id="s.000221">Or pour expliquer la maniere de |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
557 <pb pagenum="44" xlink:href="047/01/064.jpg"/>multiplier la force &longs;elon vn <expan abbr="nõbre">nombre</expan> im­<lb/>pair: il faut encore con&longs;iderer le leuier <lb/>de la page 40. AB, dont l'appuy e&longs;t en <lb/>A, & le poids G e&longs;t attaché à E, & &longs;ou­<lb/>&longs;tenu par deux forces égales, dont l'vne <lb/>e&longs;t en D, & l'autre en B, & <expan abbr="l'õ">l'on</expan> trouuer­<lb/>ra que chaque force a vn moment égal <lb/>au tiers du poids, G, parce que la force <lb/>mi&longs;e en E &longs;ou&longs;tient vn poids qui luy e&longs;t <lb/>égal, dautant qu'elle e&longs;t dans la ligne <lb/>de la &longs;u&longs;pen&longs;ion dudit poids. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
558 <s id="s.000222">Mais la <lb/>force <expan abbr="e&longs;tãt">e&longs;tant</expan> en B &longs;ou&longs;tient deux fois au­<lb/>tant que &longs;on poids, parce que &longs;a di&longs;tan­<lb/>ce d'auec l'appuy A e&longs;t double de EA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
559 <s id="s.000223"><lb/>Et parce que l'on &longs;uppo&longs;e que les 2. for­<lb/>ces B, & E &longs;ont egales, il s'en&longs;uit que la <lb/>partie de G &longs;ou&longs;tenuë par B e&longs;t double <lb/>de la partie que &longs;ou&longs;tient E: donc &longs;i l'on <lb/>fait deux parties du poids G, & que l'v­<lb/>ne &longs;oit double de l'autre, la plus grande <lb/>&longs;era de 2/3, & la moindre de 1/3 de G, donc <lb/>le moment de la force E &longs;era égal au <lb/>tiers de G: & parce que nous auons <lb/>&longs;uppo&longs;é B égal à E, la force B e&longs;t égale <lb/>à la force E, & con&longs;equemment chacu­<lb/>ne e&longs;t égale au tiers du poids G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
560 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
561 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
562 <s id="s.000224">Cecy ayant e&longs;té demon&longs;tré, il faut <lb/>l'appliquer aux mouffles qui &longs;uiuent, |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
563 <pb pagenum="45" xlink:href="047/01/065.jpg"/>dont la poulie ABC &longs;e tourne au tour <lb/><figure id="id.047.01.065.1.jpg" xlink:href="047/01/065/1.jpg"/><lb/>du centre G, auquel le far­<lb/>deau H e&longs;t attaché. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
564 <s id="s.000225">L'au­<lb/>tre poulie &longs;uperieure e&longs;t <lb/>FE; outre le&longs;quelles il <lb/>faut encore con&longs;iderer la <lb/>chorde IBCAEFD, qui <lb/>e&longs;t attachée au point B, & <lb/>puis la force qui e&longs;t en I, <lb/>laquelle ne &longs;upportera <lb/>que le tiers du fardeau H. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
565 <s id="s.000226"><lb/>Par où il e&longs;t <expan abbr="euid&etilde;t">euident</expan> qu' AB <lb/>e&longs;t vn leuier, & que la for­<lb/>ce I s'applique à &longs;es extre­<lb/>mitez B, & A. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
566 <s id="s.000227">G e&longs;t le <lb/>point du &longs;ou&longs;tien, auquel <lb/>H e&longs;t &longs;u&longs;pendu. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
567 <s id="s.000228">Vne autre force e&longs;t en­<lb/>core appliquèe en D, de &longs;orte que le <lb/>poids e&longs;t arre&longs;té par 3. chordes qui con­<lb/>tribuent également à &longs;ou&longs;tenir le poids <lb/>H: car la force D e&longs;t appliquée au mi­<lb/>lieu du leuier, & B à &longs;on extremité, c'e&longs;t <lb/>pourquoy chaque force ne &longs;upporte <lb/>que le tiers du poids H. D'où il s'en&longs;uit <lb/>que la force I ayant &longs;on moment égal <lb/>audit tiers, peut &longs;ou&longs;tenir, & leuer le <lb/>poids entier. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
568 <s id="s.000229">Mais I fera trois fois au­<lb/>tant de chemin que le poids H, parce |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
569 <pb pagenum="46" xlink:href="047/01/066.jpg"/>qu'il &longs;uit la longueur de trois chordes <lb/>IB, AE, & FD, dont l'vne me&longs;ure le <lb/>chemin du fardeau. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
570 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
571 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
572 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
573 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
574 <s id="s.000230"><emph type="center"/>CHAP. IX.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
575 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
576 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
577 <s id="s.000231"><emph type="center"/><emph type="italics"/>De la Viz.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
578 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
579 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
580 <s id="s.000232">ENtre tous les in&longs;trumens Mecha­<lb/>niques que l'on a inuentez pour la <lb/>vie humaine, la viz que les Grecs, & <lb/>les Latins appellent <emph type="italics"/>Cochlea,<emph.end type="italics"/> tient le pre­<lb/>mier <expan abbr="rãg">rang</expan> tant pour &longs;a &longs;ubtilité que pour <lb/>&longs;on vtilité, dautant qu'elle &longs;ert pour <lb/>arre&longs;ter, pour faire mouuoir, & pour <lb/>pre&longs;&longs;er auec vne tre&longs;-grande force, & <lb/>qu'elle tient fort peu de place, quoy <lb/>qu'elle aye des effets tre&longs;-&longs;ignales que <lb/>les autres in&longs;trumens ne peuuent auoir <lb/>s'ils ne &longs;ont reduits en de tre&longs;-grandes <lb/>Machines. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
581 <s id="s.000233">C'e&longs;t pourquoy il faut ex­<lb/>pliquer la nature, & l'origine de la viz, <lb/>& pour ce &longs;uiet ie <expan abbr="demõ&longs;tre">demon&longs;tre</expan> icy vn theo­<lb/>re&longs;me, qui &longs;emblera, peu&longs;t-e&longs;tre, fort <lb/>éloigné de ce di&longs;cours, quoy qu'il en <lb/>&longs;oit la ba&longs;e, & le fondement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
582 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
583 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
584 <s id="s.000234">Ie dy donc que tous les corps pe&longs;ans <pb pagenum="47" xlink:href="047/01/067.jpg"/>ont vne inclination vers le centre de la <lb/>terre, non &longs;eulement quand ils y peu­<lb/>uent de&longs;cendre perpendiculairement, <lb/>mais au&longs;&longs;i quand ils y peuuent arriuer <lb/>par vne ligne oblique, ou par vn plan <lb/>incliné: ce que l'on peut confirmer par <lb/>l'eau qui ne tombe &longs;eulement pas à <lb/>plomb de quelque lieu éminent, mais <lb/>elle coule au&longs;&longs;i &longs;ur 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 de&longs;cendent libre­<lb/>ment, pourueu que leur lit ayt tant &longs;oit <lb/>peu de pante. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
585 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
586 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
587 <s id="s.000235">Or ce qui arriue aux corps fluides, &longs;e <lb/>remarque, &longs;emblablement aux corps <lb/>qui &longs;ont durs, pourueu que les figures, <lb/>& les autres empe&longs;chemens acciden­<lb/>tels, & exterieurs ne les diuerti&longs;&longs;ent <lb/>point: Car &longs;i l'on prend vne bale par­<lb/>faitement ronde, & polie, &longs;oit de mar­<lb/>bre, de verre, ou d'autre matiere, qui <lb/>reçoiue vn excellent poly, & que l'on <lb/>la mette &longs;ur vn <expan abbr="plã">plan</expan> incline, qui &longs;oit au&longs;­<lb/>&longs;i parfaitement vni, & poly que la gla­<lb/>ce d'vn miroir, elle de&longs;cendra &longs;ur ledit <lb/>plan, &longs;e mouuera <expan abbr="perpetuellem&etilde;t">perpetuellement</expan> tan­<lb/>dis qu'elle trouuera la moindre inclina- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
588 <pb pagenum="48" xlink:href="047/01/068.jpg"/>tion que l'on &longs;e pui&longs;&longs;e imaginer: de &longs;or­<lb/>te qu'elle ne &longs;arre&longs;tera point iu&longs;ques à <lb/>ce qu'elle rencontre vne &longs;urface qui <lb/>&longs;oit à niueau, ou équidi&longs;tante de l'ho­<lb/>rizon, comme e&longs;t celle d'vn lac, ou d'vn <lb/>e&longs;tang glacé, &longs;ur laquelle la bale &longs;e <lb/>tiendroit ferme, & immobile, mais auec <lb/>telle condition que la moindre force <lb/>l'ébranleroit, & que le plan &longs;inclinant <lb/>de la largeur d'vn cheueu, elle <expan abbr="comm&etilde;-ceroit">commen­<lb/>ceroit</expan> incontinent à &longs;e mouuoir & à <lb/>de&longs;cendre vers la partie inclinée, & <lb/>qu'au contraire elle ne pourroit e&longs;tre <lb/>meuë &longs;ans <expan abbr="viol&etilde;ce">violence</expan> vers la partie du plan <lb/>qui monte. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
589 <s id="s.000236">Or il e&longs;t nece&longs;&longs;aire que la <lb/>boule &longs;arre&longs;te &longs;ur vne &longs;urface parfaite­<lb/>ment équilibre, & qu'elle demeure <expan abbr="cõ-me">com­<lb/>me</expan> indifferente entre le mouuement & <lb/>le repos: de &longs;orte que la moindre force <lb/>du <expan abbr="mõde">monde</expan> &longs;uffi&longs;e pour la mouuoir, com­<lb/>me la moindre force que l'on peut &longs;i­<lb/>maginer dans l'air, &longs;u&longs;fit pour la rete­<lb/>nir. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
590 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
591 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
592 <s id="s.000237">D'où l'on peut tirer cette conclu&longs;ion, <lb/>que tout corps pe&longs;ant, tous les empe&longs;­<lb/>chemens exterieurs e&longs;tant o&longs;tez, peut <lb/>e&longs;tre meu &longs;ur vn plan horizontal par la <lb/>moindre force que ce &longs;oit, & qu'il faut |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
593 <pb pagenum="49" xlink:href="047/01/069.jpg"/>d'autant plus de force pour le mouuoir <lb/>&longs;ur vn plan incliné, qu'il a plus d'incli­<lb/>nation au mouuement contraire. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
594 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
595 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
596 <s id="s.000238">Ce qui &longs;era plus intelligible par <lb/><figure id="id.047.01.069.1.jpg" xlink:href="047/01/069/1.jpg"/><lb/>cette figure, dans <lb/>laquelle AB &longs;oit le <lb/>plan parallele à l'o­<lb/>rizon, &longs;ur lequel la <lb/>boule e&longs;t indif­<lb/>ferente au mouue­<lb/>ment, & au repos, de &longs;orte que le vent <lb/>ou la moindre force la peut faire mou­<lb/>uoir; mais il faut vne plus grande force <lb/>pour la faire mouuoir du point A au <lb/>point C &longs;ur le plan incliné AC, & en­<lb/>core vne plus grande pour la mouuoir <lb/>&longs;ur les plans AD, & AE: & finalement <lb/>l'on ne peut la leuer &longs;ur le plan perpen­<lb/>diculaire AF, que par vne force égale à <lb/>tout le poids G. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
597 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
598 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
599 <s id="s.000239">Or l'on &longs;çaura <expan abbr="cõbien">combien</expan> il faut moins de <lb/>force pour leuer le fardeau &longs;ur les plans <lb/>AE, AD, &c, &longs;i <expan abbr="l'õ">l'on</expan> tire les lignes perpen­<lb/>diculaires à l'orizon CH, DI & KE, cat <lb/>il y aura me&longs;me proportion des forces <lb/>nece&longs;&longs;aires pour éleuer le fardeau &longs;ur <lb/>cha&longs;que plan audit fardeau, que des <lb/>lignes perpendiculaires aux lignes de |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
600 <pb pagenum="50" xlink:href="047/01/070.jpg"/>leurs plans. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
601 <s id="s.000240">Ce que Pappus <expan abbr="Alexãdrin">Alexandrin</expan> <lb/>s'e&longs;t efforcé de mon&longs;trer dans le 8. liure <lb/>de &longs;es Collections Mathematiques, <lb/>mais il s'e&longs;t trompé, à mon aduis, en ce <lb/>qu'il a &longs;upposé vne force donnée pour <lb/>mouuoir le poids &longs;ur le plan <expan abbr="horizõtal">horizontal</expan>, <lb/>ce qui e&longs;t faux, parce qu'il ne faut nulle <lb/>force &longs;en&longs;ible, &longs;i l'on o&longs;te les empe&longs;che­<lb/>mens exterieurs. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
602 <s id="s.000241">C'e&longs;t pourquoy il e&longs;t <lb/>plus à propos de chercher la force qui <lb/>meut le fardeau &longs;ur le plan vertical ou <lb/>perpendiculaire AF, laquelle e&longs;t tou­<lb/>&longs;iours égale à la pe&longs;anteur du fardeau, <lb/>que de chercher la force qui le meut <lb/>&longs;ur le plan horizontal. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
603 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
604 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
605 <s id="s.000242">Soit donc le cercle AIC, dont le dia­<lb/><figure id="id.047.01.070.1.jpg" xlink:href="047/01/070/1.jpg"/><lb/>mettre <lb/>e&longs;t ABC, <lb/>& le cen­<lb/>tre B; & <lb/>qu'il y ait <lb/>deux for­<lb/>ces éga­<lb/>les aux <lb/>points A <lb/>& C, qui <lb/><expan abbr="repre&longs;&etilde;t&etilde;t">repre&longs;entent</expan> <lb/>vne <expan abbr="balãce">balance</expan> mobile autour du centre B, |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
606 <pb pagenum="51" xlink:href="047/01/071.jpg"/>il e&longs;t certain que le poids C &longs;era &longs;ou&longs;te­<lb/>nu par la force A. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
607 <s id="s.000243">Mais &longs;i l'on s'imagine <lb/>que le bras de la balance BC tombe en <lb/>BF, de &longs;orte qu'il demeure tou&longs;iours <lb/>continué auec le bras AB, & qu'ils <expan abbr="ay&etilde;t">ayent</expan> <lb/>tous deux leur point fixe, ou leur appuy <lb/>en B, le moment F, ne &longs;era pas égal au <lb/>moment A, parce que la di&longs;tance <lb/>du poinct, ou du poids F d'auec la ligne <lb/>de direction BI n'e&longs;t pas egale à la di­<lb/>&longs;tance de la force, ou du poids A d'auec <lb/>la me&longs;me ligne de direction, comme <lb/>l'on demon&longs;tre par la perpendiculaire <lb/>KF, qui determine la <expan abbr="di&longs;tãce">di&longs;tance</expan> du poinct <lb/>F auec B, ou I, de &longs;orte que le <expan abbr="mom&etilde;t">moment</expan>, <lb/>ou le poids, de C porté en F e&longs;t dimi­<lb/>nué de la di&longs;tance de KC, & qu'il n'a <lb/>plus que le <expan abbr="mom&etilde;t">moment</expan> BK: c'e&longs;t pourquoy <lb/>il faut conclure que le moment d'A <lb/>&longs;urpa&longs;&longs;e celuy de F de KC. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
608 <s id="s.000244">Il faut dire <lb/>la me&longs;me cho&longs;e du poids C tran&longs;porté <lb/>au point L, ou en tel autre point du cer­<lb/>cle que l'on voudra, car la force en A <lb/>&longs;era d'autant plus grande que la force <lb/>L, que BA, e&longs;t plus grand que BM. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
609 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
610 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
611 <s id="s.000245">Parce où l'on void que le poids C <lb/>diminuë &longs;on moment, & &longs;on inclina­<lb/>tion d'aller en bas &longs;elon les differentes |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
612 <pb pagenum="52" xlink:href="047/01/072.jpg"/><expan abbr="inclinatiõs">inclinations</expan> des <expan abbr="plãs">plans</expan> FB, LB &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
613 <s id="s.000246">de &longs;orte <lb/>que l'on peut s'imaginer la de&longs;cente 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/>& que la pe&longs;anteur du poids en C e&longs;t <lb/>totale & entiere, & con&longs;equemment <lb/>qu'il &longs;e porte de toute &longs;on inclination à <lb/>de&longs;cendre, parce qu'il n'e&longs;t nullement <lb/>empe&longs;ché par la <expan abbr="circonfer&etilde;ce">circonference</expan>, lors qu'il <lb/>&longs;e rencontré &longs;ur la tangente DCE. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
614 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
615 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
616 <s id="s.000247">Mais quand il e&longs;t en F, il e&longs;t en partie <lb/>&longs;ou&longs;tenu par le plan circulaire, & &longs;a <lb/>pente, ou l'inclination qu'il a vers le <lb/>centre de la terre e&longs;t autant diminuée <lb/>que BC &longs;urpa&longs;&longs;e BK: de maniere qu'il <lb/>&longs;e tient éleué &longs;ur ce plan de me&longs;me que <lb/>s'il e&longs;toit appuyé &longs;ur la tangente GFH, <lb/><expan abbr="d'autãt">d'autant</expan> 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 in&longs;en&longs;ible du contact. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
617 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
618 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
619 <s id="s.000248">Il faut dire la me&longs;me cho&longs;e du point <lb/>L, lequel e&longs;t incliné comme s'il e&longs;toit <lb/>&longs;ur le plan de la tangeule NLO, car il <lb/>diminuë &longs;a pente, & &longs;on <expan abbr="inclinatiõ">inclination</expan> qu'il <lb/>a en C en me&longs;me proportion que Bk e&longs;t <lb/>à BC, puis qu'il e&longs;t con&longs;tant par la &longs;imi- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
620 <pb pagenum="53" xlink:href="047/01/073.jpg"/>litude des triangles KBF & KFH, qu'il <lb/>y a me&longs;me rai&longs;on de FK à FH que de <lb/>KB à BF. D'où nous conclüons que la <lb/>proportion du moment total & ab&longs;olu <lb/>du mobile dans la perpendiculaire de <lb/>l'orizon auec le moment qu'il a &longs;ur le <lb/>plan incliné HF e&longs;t la me&longs;me que la <lb/>proportion de FH à FK. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
621 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
622 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
623 <s id="s.000249">Ce qui &longs;e void plus di&longs;tinctement <lb/><figure id="fig31"/><lb/>dans le triangle A <lb/>BC car le moment <lb/>du mobile &longs;ur le <lb/>plan AC e&longs;t <expan abbr="d'au-tãt">d'au­<lb/>tant</expan> moindre que le <lb/>moment qu'il a <expan abbr="dãs">dans</expan> <lb/>la perpendiculaire CB, que CB e&longs;t <lb/>moindre que CA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
624 <s id="s.000250">Et parce qu'il &longs;uffit <lb/>pour mouuoir le fardeau, que la force <lb/>&longs;urpa&longs;&longs;e <expan abbr="in&longs;en&longs;iblem&etilde;t">in&longs;en&longs;iblement</expan> celle qui le &longs;ou­<lb/>&longs;tient en quel que lieu que ce &longs;oit, nous <lb/><expan abbr="faisõs">faisons</expan> icy cette propo&longs;ition vniuer&longs;elle. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
625 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
626 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
627 <s id="s.000251"><emph type="italics"/>Que &longs;ur le plan eleué la force a la me&longs;­<lb/>me proportion au poids que la perpen­<lb/>diculaire tirée de l'extremité du plan &longs;ur <lb/>l'orizon à la longueur dudit plan, c'e&longs;t à dire <lb/>que la tangente à la &longs;ecante,<emph.end type="italics"/> car FK e&longs;t la <lb/>tangente du cercle de&longs;crit &longs;ur le dia­<lb/>mettre KH, & FH e&longs;t la &longs;ecante. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
628 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
629 <pb pagenum="54" xlink:href="047/01/074.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
630 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
631 <s id="s.000252">Cecy e&longs;tant po&longs;é, ie reuiens à mon <lb/><figure id="id.047.01.074.1.jpg" xlink:href="047/01/074/1.jpg"/><lb/>premier de&longs;&longs;ein, qui con­<lb/>&longs;i&longs;te à trouuer, & à expli­<lb/>quer la nature de la viz; c'e&longs;t <lb/>pour ce &longs;ubiet qu'il faut <lb/>con&longs;iderer le triangle AB <lb/>C, dans lequel AB repre&longs;ente la ligne <lb/>horizontale, BC la perpendiculaire à <lb/>l'orizon, & AC le plan eleué, & encliné <lb/>&longs;ur l'orizon, &longs;ur lequel le mobile E e&longs;t <lb/>tiré & emporté par vne force d'autant <lb/>moindre que le poids E, que la ligne <lb/>BC e&longs;t moindre que CA. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
632 <s id="s.000253">Or quand on <lb/>veut e&longs;leuer E plus haut &longs;ur le plan fer­<lb/>me AC, c'e&longs;t me&longs;me cho&longs;e que &longs;i le tri­<lb/>angle BCA e&longs;toit pou&longs;&longs;é iu&longs;ques au <lb/><figure id="id.047.01.074.2.jpg" xlink:href="047/01/074/2.jpg"/><lb/>point H, parce que s'il &longs;e <lb/>trouuoit dans la me&longs;me <lb/>a&longs;&longs;iette que le <expan abbr="triãgle">triangle</expan> HFG, <lb/>le mobile auroit monté la <lb/>hauteur AI, & &longs;eroit en E. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
633 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
634 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
635 <s id="s.000254">D'où il s'en&longs;uit que la na­<lb/>ture de la viz n'e&longs;t autre <lb/>cho&longs;e que le triangle ACB, <lb/>le quel e&longs;tant pou&longs;&longs;é en <expan abbr="auãt">auant</expan> <lb/>&longs;ou&longs;tient la pe&longs;anteur & <lb/>l'éleue: & que c'e&longs;t par &longs;on <lb/>moyen qu'elle a e&longs;té inuen- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
636 <pb pagenum="55" xlink:href="047/01/075.jpg"/>tée. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
637 <s id="s.000255">Mais l'on s'e&longs;t auisé d'enuironner <lb/>le cylindre BD du me&longs;me triangle, <lb/>affin de le reduire dans vne machine <lb/>beaucoup moindre, & plus commode. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
638 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
639 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
640 <s id="s.000256">Et pour ce &longs;ubiet l'on adonné la me&longs;­<lb/>me hauteur du triangle au cylindre, <lb/>BE, & l'inclination de l'hypotenu&longs;e <lb/>CA à l'helice AE, & à toutes les autres <lb/>qui <expan abbr="&longs;uiu&etilde;t">&longs;uiuent</expan> de bas en haut, & qui <expan abbr="fõt">font</expan> l'he­<lb/>lice continuë AEFGHID, laquelle on <lb/>appelle <expan abbr="ordinairem&etilde;t">ordinairement</expan> le traict de la viz. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
641 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
642 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
643 <s id="s.000257">C'e&longs;t donc en cette maniere que l'in­<lb/>&longs;trument appellé par les Grecs & par <lb/>les Latins <emph type="italics"/>cochlea<emph.end type="italics"/> & que nous <expan abbr="appelliõs">appellions</expan> <emph type="italics"/>la <lb/>viz,<emph.end type="italics"/> à e&longs;té <expan abbr="inu&etilde;tée">inuentée</expan>, affin qu'en la <expan abbr="tornãt">tornant</expan> <lb/>on e&longs;léue les fardeaux <expan abbr="cõme">comme</expan> l'on feroit <lb/>&longs;ur le triangle precedent, car l'on trou­<lb/>uera tou&longs;iours dans la viz, comme &longs;ur <lb/>tel autre plan que ce &longs;oit, que la force <lb/>e&longs;t au poids po&longs;é &longs;ur vn plan incliné <lb/>comme la hauteur dudit plan à &longs;a lon­<lb/>gueur: & con&longs;equemment que la force <lb/>de la viz ABCD &longs;era multipliée &longs;elon <lb/>que toute l'helice &longs;era plus grande que <lb/>toute la hauteur du cylindre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
644 <s id="s.000258">Par où il <lb/>e&longs;t ay&longs;é d'entendre, & de conclure que <lb/>la viz e&longs;t d'autant plus forte que &longs;es <lb/>helices &longs;ont plus couchées, & plus in- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
645 <pb pagenum="56" xlink:href="047/01/076.jpg"/>clinées &longs;ur l'orizon, par ce que la lon­<lb/>gueur des triangles &longs;uiuant le&longs;quels el­<lb/>les &longs;ont formées e&longs;t en plus grande pro­<lb/>portion à leur hauteur. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
646 <s id="s.000259">Neantmoins il <lb/>n'e&longs;t pas nece&longs;&longs;aire de me&longs;urer la lon­<lb/>gueur de toute l'helice, ny la hauteur <lb/>totale du cylindre pour congnoi&longs;tre la <lb/>force d'vne viz propo&longs;ée, car il &longs;uffit de <lb/>&longs;çauoir combien de fois l'vn des tours <lb/>de l'helice <expan abbr="conti&etilde;t">contient</expan> &longs;a hauteur, par exem­<lb/>ple, combien de fois AF e&longs;t contenu en <lb/>AE, & en EF parce qu'il y à me&longs;me <lb/>proportion de toute la hauteur CB à <lb/>toute l'helice, que de FA à A EF, que <lb/>les Italiens appellent <emph type="italics"/>verme de la vite.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
647 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
648 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
649 <s id="s.000260">Or apres auoir expliqué la nature de <lb/>la viz, l'on peut <expan abbr="ay&longs;em&etilde;t">ay&longs;ement</expan> &longs;çauoir toutes <lb/>&longs;es proprietez, par exemple que l'on fait <lb/>monter le poids par le moyen de &longs;a ma­<lb/>trice auec les helices concaues dans <lb/>le&longs;quelles entre le noyau de la viz auec <lb/>&longs;es helices <expan abbr="cõuexes">conuexes</expan> <expan abbr="cõme">comme</expan> il e&longs;t ay&longs;é de <lb/>remarquer aux viz des pre&longs;&longs;oirs, & de <lb/>toutes &longs;ortes de pre&longs;&longs;es à écroux, dont <lb/>le noyau e&longs;tant tourné fait monter la­<lb/>dite matrice, & quant & quant le poids <lb/>qui y e&longs;t attaché. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
650 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
651 <pb pagenum="57" xlink:href="047/01/077.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
652 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
653 <s id="s.000261">Mais il faut tou&longs;iours &longs;e &longs;ouuenir que <lb/><expan abbr="l'õ">l'on</expan> perd <expan abbr="autãt">autant</expan> de vi&longs;te&longs;&longs;e, & de <expan abbr="t&etilde;ps">temps</expan>, que <lb/>l'on gaigne de force, car AB e&longs;t le plan <lb/><expan abbr="horizõtal">horizontal</expan>, & AC le plan incliné, <expan abbr="dõt">dont</expan> la <lb/>hauteur e&longs;t me&longs;urée, & determinée par <lb/>la perpendiculaire CB; Or &longs;i l'on po&longs;e <lb/>vn mobile &longs;ur le plan AC, & que la <lb/>chorde EDF le tienne attaché, la force <lb/>qui e&longs;t en F ayant me&longs;me rai&longs;on auec le <lb/>poids E que BC aà CB, &longs;ou&longs;tiendra le <lb/>poids en E, & en luy aioutant la moin­<lb/>dre force du monde, il tombera en B, & <lb/>emportera le poids E en le fai&longs;ant mon­<lb/>ter vers D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
654 <s id="s.000262">Mais F ne fera pas moins <lb/>de chemin en de&longs;cendant perpendicu­<lb/>lairement, que le poids E en montant <lb/>obliquement, c'e&longs;t pourquoy il e&longs;t ne­<lb/>ce&longs;&longs;aire que F de&longs;cende plus bas qu'il <lb/>ne fait monter le poids E, dont l'exau­<lb/>cement &longs;e me&longs;ure par la ligne per­<lb/>pendiculaire BC: de maniere que la <lb/>ligne de la de&longs;cente de F &longs;era égalé à <lb/>CA, quand il aura fait monter le poids <lb/>de B à C. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
655 <s id="s.000263">Car le poids ne re&longs;i&longs;te point <lb/>au mouuement parallele à l'orizon, <lb/>parce que ce mouuement ne l'éloigne <lb/>point du centre de la terre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
656 <s id="s.000264">C'e&longs;t pour­<lb/>quoy il importe grandement de con- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
657 <pb pagenum="58" xlink:href="047/01/078.jpg"/>&longs;iderer les lignes par le&longs;quelles &longs;e font <lb/><figure id="id.047.01.078.1.jpg" xlink:href="047/01/078/1.jpg"/><lb/>les mouuemens, & <lb/>particulierement <lb/>lors qu'ils &longs;e font <lb/>par des forces ina­<lb/>nimées, dont les <lb/>momens, & les re&longs;i­<lb/>&longs;tances &longs;ont en leur &longs;ouuerain degré <lb/>dans la ligne <expan abbr="perp&etilde;diculaire">perpendiculaire</expan> à l'orizon; <lb/>mais elles &longs;e <expan abbr="diminü&etilde;t">diminüent</expan> à proportion que <lb/>la ligne &longs;e <expan abbr="pãche">panche</expan> &longs;ur le plan horizontal. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
658 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
659 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
660 <s id="s.000265"><emph type="center"/>III. ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
661 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
662 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
663 <s id="s.000266">Il y a plu&longs;ieurs cho&longs;es à remarquer <lb/>&longs;ur ce &longs;ubjet qui Peuuent &longs;eruir pour <lb/>e&longs;tablir quelque partie de la Phy&longs;ique, <lb/>dont i'en mets icy quelques vnes, affin <lb/>d'exciter les bons e&longs;prits qui ayment la <lb/>verité, à pa&longs;&longs;er oûtre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
664 <s id="s.000267">Premierement <lb/><figure id="id.047.01.078.2.jpg" xlink:href="047/01/078/2.jpg"/><lb/>c'e&longs;t vne cho&longs;e tres­<lb/>remarquable que la <lb/>boule FDCE &longs;e <lb/>pui&longs;&longs;e mouuoir auec <lb/>la moindre force <lb/>imaginable &longs;ur le <lb/>plan horizontal AB, <lb/>dont la rai&longs;on e&longs;t qu'elle ne touche le |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
665 <pb pagenum="59" xlink:href="047/01/079.jpg"/>plan qu'au point C, & que &longs;es deux <lb/>moitiez CFE, & CFD &longs;ont en vn par­<lb/>fait équilibre, comme lon void au <lb/>leuier ED, dont le bras EG e&longs;t égal au <lb/>bras GD, de &longs;orte que &longs;i l'on applique <lb/>la moindre force du <expan abbr="mõde">monde</expan> à D la boule <lb/>roullera vers A. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
666 <s id="s.000268">En &longs;econd lieu l'on <lb/>peut <expan abbr="cõparer">comparer</expan> le mouuement des deux <lb/>boules CDF, & CHG, qui e&longs;t huict fois <lb/>moindre & mois pe&longs;ante que l'autre, <lb/>car &longs;on diametre CG e&longs;t &longs;ouz double <lb/>de CF, & ie &longs;uppo&longs;e qu'elles &longs;oient de <lb/>me&longs;me matiere: l'on peut donc recher­<lb/>cher laquelle des deux &longs;e meut plus ay­<lb/>&longs;ement &longs;ur le plan AB; car il y en a qui <lb/>croyent que la petite &longs;era 8. fois plus <lb/>ay&longs;ée à mouuoir &longs;ur ce plan, quoy que <lb/><expan abbr="parfaictem&etilde;t">parfaictement</expan> dur & poli, à rai&longs;on qu'el­<lb/>le pe&longs;e 8. fois moins, & que toutes les <lb/>parties de chaque corps pe&longs;ent &longs;ur le <lb/>centre de leurs pe&longs;anteurs, & con&longs;e­<lb/>quemment que toute la pe&longs;anteur de <lb/>ces deux globes s'vnit au point C, & <lb/>re&longs;i&longs;te tant qu'elle peut au <expan abbr="mouuem&etilde;t">mouuement</expan>. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
667 <s id="s.000269"><lb/>Mais pui&longs;que toutes &longs;ortes de globes <lb/>tant grands que petits ont la rai&longs;on du <lb/>leuier ou de la balance comme i'ay ex­<lb/>pliqué cy-deuant, la moindre force ap- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
668 <pb pagenum="60" xlink:href="047/01/080.jpg"/>pliquèe aux points D, E, ou HI e&longs;t ca­<lb/>pable de les o&longs;ter de leur equilibre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
669 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
670 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
671 <s id="s.000270">En troi&longs;ie&longs;me lieu &longs;i l'on &longs;uppo&longs;e que <lb/>le plan horizontal &longs;oit rude, &longs;cabreux, & <lb/>mal poli, il <expan abbr="s&etilde;ble">semble</expan> que le moindre globe <lb/>roulera plus ay&longs;ement parce qu'il fait <lb/>vn plus grand angle de contingence, & <lb/>s'éloigne d'auantage de la ligne droite <lb/>AB. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
672 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
673 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
674 <s id="s.000271"><emph type="center"/>IV ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
675 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
676 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
677 <s id="s.000272">Sur ce que Galilee dit que Pappus &longs;'e&longs;t <lb/>trompé, lors qu'il a voulu determiner la <lb/>force nece&longs;&longs;aire pour mouuoir vn poids <lb/>donné &longs;ur vn plan propo&longs;é, ou &longs;ur vn <lb/>plan incliné, dont l'angle d'inclination <lb/>e&longs;t <expan abbr="cõnu">connu</expan> l'on peut remarquer plu&longs;ieurs <lb/>cho&longs;es, mais particulierement qu'il la <lb/>&longs;uppo&longs;e beaucoup trop <expan abbr="grãde">grande</expan>, car il dit <lb/>qu'il faut la force de 40. hommes pour <lb/>mouuoir le poids de 200. talents, dans <lb/>la 9. propo&longs;ition de &longs;on 8. liure, au lieu <lb/>que la moindre force e&longs;t capable de le <lb/>mouuoir &longs;ur ledit plan: c'e&longs;t pourquoy <lb/>il a conclud qu'il failloit 260. hommes <lb/>pour le mouuoir &longs;ur vn plan incliné de <lb/>120 degrez. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
678 <s id="s.000273">Mais l'on comprendra cecy <lb/>plus ay&longs;ement par cette figure, dans la- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
679 <pb pagenum="61" xlink:href="047/01/081.jpg"/>quelle RM repre&longs;ente le plan horizon­<lb/><figure id="id.047.01.081.1.jpg" xlink:href="047/01/081/1.jpg"/><lb/>tal, &longs;ur lequel ie <lb/>&longs;uppo&longs;e que le plan <lb/>PM e&longs;t eleué de 30. <lb/>degrez, & con&longs;e­<lb/>quemment qu'il <lb/>fait 60. degrez auec <lb/>le plan perpendi­<lb/>culaire BC. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
680 <s id="s.000274">Or il e&longs;t certain que la <lb/>force qui retient le poids, ou le globe <lb/>BSA &longs;ur le plan incliné e&longs;t audit poids, <lb/>comme la perpendiculaire PR e&longs;t à <lb/>l'hypotenu&longs;e PM: & parce que cette <lb/>hypothenu&longs;e e&longs;t double de la <expan abbr="perp&etilde;di-culaire">perpendi­<lb/>culaire</expan>, vne force vn peu plus <expan abbr="grãde">grande</expan> que <lb/>&longs;ouz double le leuera, de &longs;orte que &longs;i le <lb/>globe pe&longs;e 2. liures le poids P, ou O <expan abbr="pe&longs;ãt">pe&longs;ant</expan> <lb/>vne liure, & vn grain le pourra tirer. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
681 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
682 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
683 <s id="s.000275">Il faut encore remarquer que la force <lb/>qui doit empe&longs;cher que le poids ne <lb/>coule & ne pe&longs;e point &longs;ur le plan PM <lb/>doit e&longs;tre au poids, comme la ba&longs;e RM <lb/>à l'hypotenu&longs;e PM. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
684 <s id="s.000276">Or quand on veut <lb/>tirer le poids &longs;ur le plan incliné, il faut <lb/>mettre vne poulie au haut du plan, <lb/>comme l'on void en D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
685 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
686 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
687 <s id="s.000277">Où l'on doit con&longs;iderer la force qui­<lb/>&longs;ou&longs;tient le poids dans la ligne perpen- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
688 <pb pagenum="62" xlink:href="047/01/082.jpg"/>diculaire PR, pour trouuer celle qui le <lb/>&longs;ou&longs;tient &longs;ur le plan incliné, & parce <lb/>que le globe BSA pe&longs;e 2 liures dans <lb/>ladite ligne, il n'en pe&longs;era qu'vne &longs;ur ce <lb/>plan incliné de 30 degrez. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
689 <s id="s.000278">Neantmoins <lb/>quelquesvns croyent que l'on peut <lb/>trouuer la force qui tire le poids &longs;ur le <lb/>plan incliné par la connoi&longs;&longs;ance de la <lb/>force qui le meut &longs;ur le plan <expan abbr="horizõtal">horizontal</expan>; <lb/>&longs;ur quoy l'on peut veoir Cabee au 20. <lb/>Chapitre du 4. liure de l'aymant. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
690 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
691 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
692 <s id="s.000279"><emph type="center"/>V. ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
693 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
694 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
695 <s id="s.000280">Cette &longs;peculation des plans differens <lb/>e&longs;t grandement vtile pour trouuer la <lb/>force requi&longs;e pour mouuoir toutes &longs;or­<lb/>tes de fardeaux &longs;ur les montagnes, & <lb/>dans les valees, & pour plu&longs;ieurs autres <lb/>cho&longs;es: par exemple, &longs;i l'on vouloit <lb/>tirer vn fardeau &longs;ur le plan FB, il fau­<lb/>droit vne force, qui eu&longs;t me&longs;me pro­<lb/>portion au poids, que la perpendiculai­<lb/>re BE à l'hypotenu&longs;e BF. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
696 <s id="s.000281">Mais &longs;i l'on <lb/>vouloit l'empe&longs;cher de couler ou de <lb/>pe&longs;er &longs;ur le plan BF, il faudroit vne <lb/>force qui eu&longs;t me&longs;me proportion au <lb/>poids que FE à FB, &longs;uiuant ce qui a |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
697 <pb pagenum="63" xlink:href="047/01/083.jpg"/>e&longs;té dit dans l'addition precedente, & <lb/>con&longs;equemment il faudroit que cette <lb/>force fu&longs;t &longs;ouztriple du poids, pui&longs;que <lb/>EF e&longs;t &longs;ouztriple de BF. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
698 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
699 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
700 <s id="s.000282">Quant à la proportion des mouue­<lb/><figure id="id.047.01.083.1.jpg" xlink:href="047/01/083/1.jpg"/><lb/>mens qui &longs;e <lb/>font &longs;ur les <lb/>plans, nous en <lb/><expan abbr="parlerõs">parlerons</expan> apres: <lb/>Ie remarque­<lb/>ray &longs;eulement <lb/>icy que la for­<lb/>ce e&longs;t tou­<lb/>&longs;iours à la pe­<lb/>&longs;anteur qu'il faut &longs;ou&longs;tenir &longs;ur les plans <lb/>propo&longs;ez, <expan abbr="cõme">comme</expan> le co&longs;té qui touche la <lb/>force e&longs;t au co&longs;té &longs;ur lequel le poids e&longs;t <lb/>appuyé, &longs;oit que le co&longs;té de la force &longs;oit <lb/>per pendiculaire, ou incliné &longs;ur l'hori­<lb/>zon: par exemple, la force e&longs;tant po&longs;ée <lb/>&longs;ur le co&longs;té DF e&longs;t au poids D mis <lb/>&longs;ur HD, comme FD e&longs;t à DH. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
701 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
702 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
703 <s id="s.000283">Et &longs;i l'on &longs;uppo&longs;e que BE &longs;oit vne <lb/>muraille impenetrable, qui&longs;oit polie, & <lb/>qui ne cede nullement aux coups, la <lb/>bale qui la frapera au point D &longs;elon <lb/>l'inclination de l'angle CDI, qui e&longs;t de <lb/>30. degrez, &longs;e reflechira en H par la li- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
704 <pb pagenum="64" xlink:href="047/01/084.jpg"/>gne DH, dautant que l'angle de refle­<lb/>xion LDK e&longs;t egal à celuy de l'inci­<lb/>dence. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
705 <s id="s.000284">Mais il e&longs;t difficile de &longs;çauoir où <lb/>&longs;e reflechira la bale. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
706 <s id="s.000285">L'on peut encore <lb/>con&longs;iderer de combien vn poids de&longs;­<lb/>cend plus vi&longs;te &longs;ur vn plan incliné que <lb/>&longs;ur l'autre: par exemple, de combien <lb/>il <expan abbr="de&longs;c&etilde;d">de&longs;cend</expan> plus vi&longs;te &longs;ur BF, que &longs;ur CF, <lb/>ou DF, & s'il y a me&longs;me rai&longs;on de la vi­<lb/>&longs;te&longs;&longs;e qui s'exerce &longs;ur BF, à celle de <lb/>DF, que de la ligne BF à DF: mais il <lb/>faut re&longs;eruer toutes ces con&longs;iderations <lb/>pour la fin de ce traité. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
707 <s id="s.000286">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 e&longs;t plus long que <lb/>celuy du poids, affin que l'vn <expan abbr="recõpen&longs;e">recompen&longs;e</expan> <lb/>l'autre, & que la nature ne perde rien <lb/>d'vn co&longs;té qu'elle ne le gaigne de l'au­<lb/>tre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
708 <s id="s.000287"><expan abbr="Finalem&etilde;t">Finalement</expan> &longs;ivn coup de <expan abbr="canõ">canon</expan> e&longs;t tiré <lb/>du point H contre la muraille BE, il <lb/>aura &longs;a force entiere dans la perpendi­<lb/>culaire HE; & le boulet appuyera en­<lb/>tierement contre E. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
709 <s id="s.000288">Mais s'il frappe <lb/>obliquement en D par la ligne HD, <lb/>il &longs;era d'autant moins fort que DH e&longs;t <lb/>plus long que HE. |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
710 <pb pagenum="65" xlink:href="047/01/085.jpg"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
711 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
712 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
713 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
714 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
715 <s id="s.000289"><emph type="center"/>CHAP. X.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
716 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
717 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
718 <s id="s.000290"><emph type="center"/><emph type="italics"/>De la Viz d'Archimede pour <lb/>e&longs;leuer les eaux.<emph.end type="italics"/><emph.end type="center"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
719 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
720 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
721 <s id="s.000291">IL faut icy adioûter la con&longs;ideration <lb/>de cette viz, parce que &longs;on effet e&longs;t <lb/><figure id="id.047.01.085.1.jpg" xlink:href="047/01/085/1.jpg"/><lb/>d'autant plus <lb/>admirable <lb/>que la cau&longs;e <lb/>&longs;emble plus <lb/>éloignée de <lb/>la rai&longs;on, car <lb/>elle fait mon­<lb/>ter l'eau par­<lb/>ce qu'elle la <lb/>fait de&longs;cen­<lb/>dre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
722 <s id="s.000292">Son v&longs;a­<lb/>ge paroi&longs;t <expan abbr="dãs">dans</expan> <lb/>la figure qui <lb/>&longs;uit, dans la­<lb/>quelle ZY <lb/>XVTSR & <lb/>Q &longs;ignifient <lb/>vn canal qui <lb/>entoure le <lb/>cylindre NP. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
723 <s id="s.000293"><lb/>Or le bout du canal N doit e&longs;tre dans <pb pagenum="66" xlink:href="047/01/086.jpg"/>l'eau, & le canal doit e&longs;tre incliné; & <lb/>puis il faut tourner le cylindre autour <lb/>des points QP, & NO, iu&longs;ques à ce que <lb/>l'eau &longs;orte par Q, apres auoir monté <lb/>tout au long du canal, ou de l'helice <lb/>NO YX &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
724 <s id="s.000294">bans la quelle l'eau mon­<lb/>te par ce qu'elle de&longs;cend, comme ie fais <lb/>voir en cette maniere. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
725 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
726 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
727 <s id="s.000295">Soit le <expan abbr="triãgle">triangle</expan> A KB, d'où la viz NP <lb/>prend &longs;on origine, lors que l'helice à <lb/>me&longs;me inclination que KA, dont la <lb/>&longs;aillie, ou l'eleuation e&longs;t determinée par <lb/>l'angle BAK; & &longs;i cet angle e&longs;t du <lb/>tiers, ou du quart d'vn angle droit, l'e­<lb/>leuation de l'helice NZ, ou ZY &longs;era <lb/><expan abbr="&longs;emblablem&etilde;t">&longs;emblablement</expan> le tiers, ou le quart d'vn <lb/>angle droit. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
728 <s id="s.000296">Cecy e&longs;tant po&longs;é, il e&longs;t <lb/><expan abbr="euidãt">euidant</expan> que la &longs;aillie du canal AK &longs;era <lb/>abbai&longs;&longs;ée quand le point K viendra au <lb/>point B, & qu'elle n'aura plus de pente <lb/>ou d'inclination, & con&longs;equemment &longs;i <lb/>on l'abai&longs;&longs;e vn peu plus bas que B, l'eau <lb/>coulera, & s'engorgera naturellement <lb/>dans le canal AK, ou XV, & tombera <lb/>du point A au point K, qui &longs;e trouuera <lb/>plus bas que B &longs;ouz l'orizon. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
729 <s id="s.000297">Or il faut <lb/>entourer le cylindre CA du triangle <lb/>AKB, affin de con&longs;truire la viz AC |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
730 <pb pagenum="67" xlink:href="047/01/087.jpg"/><expan abbr="perp&etilde;diculaire">perpendiculaire</expan> &longs;ur l'horizon EA: & puis <lb/>il la faut mettre dans l'eau, & la tour­<lb/>ner, affin que l'eau monte par le canal <lb/>AE, qui n'e&longs;t pas plus incliné que KA, <lb/>c'e&longs;t à dire que le tiers d'vn angle droi­<lb/>te donc &longs;i l'on abbai&longs;&longs;e le cylindre PN <lb/>du tiers d'vn angle droit, les helices <lb/>EF, FG &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
731 <s id="s.000298">&longs;eront inclinées, comme <lb/>l'on void au cylindre panchant PN, & <lb/>à &longs;es helices ZYXV &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
732 <s id="s.000299">par con&longs;e­<lb/>quent l'eau de&longs;cendra de N à Z, & tou­<lb/>tes les autres helices receuront vne <lb/>me&longs;me di&longs;po&longs;ition pour faire couler <lb/>l'eau iu&longs;ques au bout de la viz, de &longs;orte <lb/>que l'eau de&longs;cendra tou&longs;iours en mon­<lb/>tant de N à P. D'ou il faut conclure que <lb/>la viz doit auoir vne inclination vn peu <lb/>plus grande que le triangle &longs;ur lequel <lb/>on la ba&longs;tie. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
733 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
734 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
735 <s id="s.000300"><emph type="center"/>VI ADDITION.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
736 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
737 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
738 <s id="s.000301">Il y a plu&longs;ieurs cho&longs;es à remarquer <lb/>pour la pente, & la de&longs;cente, & pour <lb/>l'exaltation des eaux, & pour tout ce <lb/>qui appartient aux Siphons, & aux <lb/>Pompes qui attirent l'eau, ou les autres <lb/>liqueurs par a&longs;piration, mais l'vne des |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
739 <pb pagenum="68" xlink:href="047/01/088.jpg"/>principales con&longs;i&longs;te à &longs;çauoir que l'eau <lb/>ne &longs;e meut point naturellement &longs;i elle <lb/>n'a de la pente, <expan abbr="cõme">comme</expan> l'on experimente <lb/>aux rui&longs;&longs;eaux, aux riuieres, aux e&longs;tangs <lb/>&c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
740 <s id="s.000302">ce qui fait reconnoi&longs;tre que le <lb/><expan abbr="mouuem&etilde;t">mouuement</expan> de la mer &longs;uppo&longs;e de la vio­<lb/>lence, car &longs;i le reflus luy e&longs;t naturel, le <lb/>flus doit e&longs;tre violent. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
741 <s id="s.000303">Quant au Siphon <lb/>il peut &longs;eruir pour faire pa&longs;&longs;er des fon­<lb/>taines depuis le pied d'vne montagne <lb/>ou d'vn rocher iu&longs;ques à l'autre co&longs;té, <lb/>pour changer le vin, ou les autres li­<lb/>queurs d'vn tonneau en vn autre, pour <lb/>vuider les marais, & pour plu&longs;ieurs <lb/>autres commoditez dont nous parle­<lb/>rons ailleurs. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
742 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
743 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
744 <s id="s.000304">Quant à l'v&longs;age de l'eau dans les me­<lb/>chaniques, il e&longs;t tres grand, comme l'on <lb/>experimente aux moulins à eau, & aux <lb/>differentes manieres dont on &longs;e &longs;ert <lb/>pour &longs;çauoir la <expan abbr="differ&etilde;ce">difference</expan> des pe&longs;anteurs <lb/>de toutes &longs;ortes de corps plus pe&longs;ans, ou <lb/>plus legers que l'eau, &longs;oit qu'on les com­<lb/>pare en&longs;emble, ou auec la me&longs;me eau: <lb/>mais tout cecy merite vn traicté entier <lb/>de l'Hydraulique, comme les vtilitez <lb/>de l'air & du vent requierent vn di&longs;­<lb/>cours entier de la Pneumatique. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
745 <s id="s.000305">Mais |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
746 <pb pagenum="69" xlink:href="047/01/089.jpg"/>par ce que Galilée n'en a rien dit <expan abbr="dãs">dans</expan> ce <lb/>liure, ie <expan abbr="vi&etilde;s">viens</expan> à la derniere <expan abbr="cõ&longs;ideration">con&longs;ideration</expan> <lb/>qu'il a faite &longs;ur la force de la percu&longs;&longs;ion. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
747 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
748 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
749 <chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
750 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
751 <s id="s.000306"><emph type="center"/>CHAP. XI.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
752 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
753 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
754 <s id="s.000307">Il e&longs;t nece&longs;&longs;aire pour plu&longs;ieurs rai&longs;ons <lb/>de rechercher la cau&longs;e de la force de la <lb/>percu&longs;&longs;ion, parce qu'elle contient plus <lb/>de merueilles que tous les autres in&longs;tru­<lb/>mens Mechaniques, car on experimen­<lb/>te qu'en <expan abbr="frappãt">frappant</expan> &longs;ur vn clou, &longs;ur vn pieu, <lb/>ou pilotis, &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
755 <s id="s.000308">ils <expan abbr="entr&etilde;t">entrent</expan> dans des corps <lb/>fort durs, & qu'ils n'entrent nullement <lb/>&longs;i l'on ne frappe de&longs;&longs;us, encore que l'on <lb/>charge & que l'on pre&longs;&longs;e les marteaux <lb/>auec des fardeaux mille fois plus <expan abbr="pe&longs;ãs">pe&longs;ans</expan> <lb/>qu'eux, car à peine feroit-on entrer vn <lb/>coin au&longs;&longs;i auant en le chargeant d'vne <lb/>mai&longs;on entiere, comme on le fait entrer <lb/>à coup de marteau. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
756 <s id="s.000309">Ce qui e&longs;t d'autant <lb/>plus digne d'e&longs;tre con&longs;ideré que nul <lb/>n'en a donné la rai&longs;on iu&longs;ques à pre&longs;ent: <lb/>ce qui fait voir la difficulté de cette <lb/>&longs;peculation: car les pen&longs;ées d'Ari&longs;tote <lb/>& des autres qui ont voulu prendre <lb/>la rai&longs;on de cet effet de la longueur de <lb/>la maniuelle ou du manche des mar­<lb/>teaux &longs;ont trop foibles, & mal fondées, |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
757 <pb pagenum="70" xlink:href="047/01/090.jpg"/>attendu que les poids qui tombent, & <lb/>qui font de &longs;i grands effets, nont point <lb/>de manches. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
758 <s id="s.000310">Il faut dire la me&longs;me <lb/>cho&longs;e des poids que l'on pou&longs;&longs;e ou que <lb/>l'on iette de trauers. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
759 <s id="s.000311">C'e&longs;t pourquoy <lb/>il faut auoir recours à vn autre principe <lb/>pour trouuer la verité de cét effet, le­<lb/>quel ie ta&longs;cheray à expliquer & à le <lb/>rendre &longs;en&longs;ible. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
760 <s id="s.000312">Ie di <expan abbr="dõc">donc</expan> que cet effect <lb/>vient de la me&longs;me &longs;ource que les autres <lb/>effets Mechaniques, à &longs;çauoir que la <lb/>force, la re&longs;i&longs;tance, & l'e&longs;pace par le&longs;­<lb/>quels &longs;e <expan abbr="fõt">font</expan> les <expan abbr="mouuem&etilde;s">mouuemens</expan> ont vne telle <lb/>corre&longs;pondance & proportion entr'eux <lb/>que la force <expan abbr="re&longs;põd">re&longs;pond</expan> &longs;eulement à vne re­<lb/>&longs;i&longs;tance qui luy e&longs;t égale. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
761 <s id="s.000313">& qu'elle la <lb/>meut &longs;eulement par vn e&longs;pace égal, ou <lb/>d'vne égale vi&longs;te&longs;&longs;e, dont elle &longs;e meut <lb/>elle me&longs;me. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
762 <s id="s.000314">Semblablement quand la <lb/>force e&longs;t moindre de moitié que la re­<lb/>&longs;i&longs;tence, elle la peut mouuoir, &longs;i elle <lb/>me&longs;me &longs;e meut d'vne double impetuo­<lb/>&longs;ité, & &longs;i elle fait deux fois autant de <lb/>chemin. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
763 <s id="s.000315">Ce qui &longs;e remarque en toutes <lb/>&longs;ortes d'in&longs;trumens, par le moyen de&longs;­<lb/>quels l'on peut mouuoir & &longs;urmonter <lb/>toute &longs;orte de re&longs;i&longs;tence pour grande <lb/>quelle pui&longs;&longs;e e&longs;tre auec vne force &longs;i pe- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
764 <pb pagenum="71" xlink:href="047/01/091.jpg"/>tite que l'on voudra, pourueu que l'e&longs;­<lb/>pace que fait la force ayt me&longs;me pro­<lb/>portion auec l'e&longs;pace de la re&longs;i&longs;tance, <lb/>que la grande re&longs;i&longs;tance à la petite for­<lb/>ce; ce qui &longs;uit entierement la con&longs;titu­<lb/>tion & les regles de la nature. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
765 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
766 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
767 <s id="s.000316">Ce n'e&longs;t <expan abbr="dõc">donc</expan> pas merueille &longs;i en argu­<lb/>mentant au contraire, la force qui meut <lb/>vne petite re&longs;i&longs;tance par vn grand in­<lb/>terualle, en pou&longs;&longs;e vne cent fois plus <lb/>grande par vn interualle cent fois <lb/>moindre, puis qu'il ne peut arriuer au­<lb/>trement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
768 <s id="s.000317">Cecy e&longs;tant po&longs;è, il faut con­<lb/>&longs;iderer qu'elle doit e&longs;tre la re&longs;i&longs;tence <lb/>pour e&longs;tre meüe par le marteau, qui la <lb/>doit frapper & pou&longs;&longs;er; & pour ce &longs;ub­<lb/>ject il faut remarquer combien la force <lb/>qui a e&longs;té imprimée au marteau le por­<lb/>ter a loing, &longs;i l'on &longs;uppo&longs;e qu'il ne frap­<lb/>pe point, <expan abbr="cõme">comme</expan> il arriueroit &longs;i le marteau <lb/>&longs;ortoit de la main auec la me&longs;me impe­<lb/>tuo&longs;ité <expan abbr="dõt">dont</expan> il doit frapper vne enclume, <lb/>vn coin, ou quelqu'autre cho&longs;e, & qu'il <lb/>ne <expan abbr="rencõtra&longs;t">rencontra&longs;t</expan> nul <expan abbr="empe&longs;chem&etilde;t">empe&longs;chement</expan> en &longs;on <lb/>chemin. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
769 <s id="s.000318">Et puis il faut <expan abbr="cõ&longs;iderer">con&longs;iderer</expan> quelle <lb/>re&longs;i&longs;tance fait le corps qui e&longs;t frappé, & <lb/><expan abbr="cõbien">combien</expan> il e&longs;t pou&longs;&longs;é par vne telle <expan abbr="percu&longs;-&longs;iõ">percu&longs;­<lb/>&longs;iom</expan>, & <expan abbr="ayãt">ayant</expan> remarqué de <expan abbr="cõbi&etilde;">combien</expan> il &longs;e meut |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
770 <pb pagenum="72" xlink:href="047/01/092.jpg"/>à chaque coup, & que le coin entre <lb/>d'autant moins auant que le marteau <lb/>pou&longs;&longs;é de la me&longs;me impetuo&longs;ité iroit <lb/>moins loing <expan abbr="l'õ">l'on</expan> 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 re&longs;i&longs;tance &longs;era plus <lb/>grande que la force du marteau: de &longs;or­<lb/>te qu'il ne faut plus admirer les effects <lb/>de la percu&longs;&longs;ion, puis qu'ils ne <expan abbr="&longs;ort&etilde;t">&longs;ortent</expan> pas <lb/>hors des bornes de la nature. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
771 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
772 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
773 <s id="s.000319">A quoy i'aioûte vn exemple pour vne <lb/>plus grande intelligence, en &longs;uppo&longs;ant <lb/>que le marteau qui a 4. degrez de re&longs;i­<lb/>&longs;tance &longs;oit pou&longs;&longs;é d'vne telle force que <lb/>ne treuuant nulle <expan abbr="re&longs;i&longs;tãce">re&longs;i&longs;tance</expan> qui l'arre&longs;te, <lb/>il aille iu&longs;ques à dix pas, & qu'à ce <lb/>terme on luy oppo&longs;e vne poutre qui <lb/>ayt 4000. degrez de <expan abbr="re&longs;i&longs;tãce">re&longs;i&longs;tance</expan> & qui &longs;oit <lb/>mille fois plus grande que la force du <lb/>marteau, de &longs;orte qu'elle &longs;urpa&longs;&longs;e &longs;ans <lb/>proportion ladite force, &longs;i elle e&longs;t frap­<lb/>pée, elle ira &longs;eulement en auant la <lb/>millie&longs;me partie de dix pas, par le&longs;quels <lb/>l'on auroit pou&longs;&longs;é le marteau. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
774 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
775 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
776 <s id="s.000320">D'où l'on peut conclurre que la force <lb/>de la percu&longs;&longs;ion &longs;uit les loix des autres <lb/>in&longs;trumens mechaniques, & qu'il e&longs;t |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
777 <pb pagenum="73" xlink:href="047/01/093.jpg"/>au&longs;&longs;i ay&longs;é de la determiner que les au­<lb/>tres forces. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
778 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
779 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
780 <s id="s.000321"><emph type="center"/>ADDITION VII.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
781 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
782 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
783 <s id="s.000322">Galilée promettoit plu&longs;ieurs proble&longs;­<lb/>mes à la fin de &longs;es mechaniques, mais <lb/>pui&longs;que nous ne les <expan abbr="auõs">auons</expan> point veus, il <lb/>faut &longs;eulement icy aioûter quelques <lb/>con&longs;iderations <expan abbr="touchãt">touchant</expan> les <expan abbr="mouuem&etilde;s">mouuemens</expan>; <lb/>en attendant que nous en donnions <lb/>plu&longs;ieurs <expan abbr="ob&longs;eruatiõs">ob&longs;eruations</expan> tres-exactes. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
784 <s id="s.000323">Soit <lb/>donc le plan BG incliné de 30. degrez <lb/>&longs;ur le plan horizontal BF: il e&longs;t premie­<lb/>rement certain que le poids pe&longs;e d'au­<lb/>tant moins &longs;ur BG que dans la ligne <lb/>perpendiculaire GX, que BG e&longs;t plus <lb/>grand que GX, c'e&longs;t à dire deux fois <lb/><figure id="id.047.01.093.1.jpg" xlink:href="047/01/093/1.jpg"/><lb/>moins, <expan abbr="dautãt">dautant</expan> que GX, <lb/>e&longs;t &longs;ouz double de BG, <lb/>par la con&longs;truction. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
785 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
786 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
787 <s id="s.000324">Secondement il e&longs;t cer­<lb/>tain que la boule mi&longs;e au <lb/>point G & roulante &longs;ur <lb/>GB de&longs;cend plus lente­<lb/>ment que par la ligne G <lb/>X. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
788 <s id="s.000325">Mais il e&longs;t difficile de <lb/>&longs;çauoir combien elle de&longs;cend plus vi&longs;te |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
789 <pb pagenum="74" xlink:href="047/01/094.jpg"/>par GX. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
790 <s id="s.000326">Galilée croit dans vn autre <lb/>di&longs;cours qu'en me&longs;me <expan abbr="t&etilde;ps">temps</expan> que la boule <lb/>de&longs;cend de G en H elle de&longs;cendroit <lb/>de G en E, & qu'au me&longs;me temps qu'el­<lb/>le de&longs;cend de G en B, elle de&longs;cen­<lb/>droît de Gen D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
791 <s id="s.000327">Car le point de la li­<lb/>gne perpendiculaire, auquel &longs;e rencon<lb/>treroit le poids tombant, &longs;e determine <lb/>par les perpendiculaires de&longs;crites &longs;ur le <lb/>plan incliné, comme l'on void icy aux <lb/>perpendiculaires HE & BD tirées des <lb/>deux points H, B, au&longs;quels on &longs;uppo&longs;e <lb/>que la boule e&longs;t arriuée en roûlant: ce <lb/>qu'il faut au&longs;&longs;i, ce &longs;emble, conclurre des <lb/>autres corps qui gli&longs;&longs;ent &longs;eulement. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
792 <s id="s.000328"><lb/>En troi&longs;ie&longs;me lieu, l'on peut con&longs;iderer <lb/>&longs;i les poids qui &longs;e meuuent &longs;ur le plan <lb/>incliné gardent la me&longs;me proportion <lb/>en leur vi&longs;te&longs;&longs;e que ceux qui &longs;e <expan abbr="meuu&etilde;t">meuuent</expan> <lb/>perpendiculairement vers le centre de <lb/>la terre, c'e&longs;t à dire s'ils <expan abbr="ha&longs;t&etilde;t">ha&longs;tent</expan> leur cour­<lb/>&longs;e en rai&longs;on doublée des <expan abbr="t&etilde;ps">temps</expan> par exem­<lb/>ples &longs;i G ayant <expan abbr="de&longs;c&etilde;du">de&longs;cendu</expan> iu&longs;que, au quart <lb/>de &longs;on plan dans le premier temps, <lb/>de&longs;cend les trois autres quarts dans le <lb/>&longs;econd temps. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
793 <s id="s.000329">En quatrie&longs;me lieu, la <lb/>&longs;peculation de Galilée e&longs;t excellente, &longs;i <lb/>elle e&longs;t veritable, à &longs;çauoir qu'vne bou- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
794 <pb pagenum="75" xlink:href="047/01/095.jpg"/>le de&longs;cend en me&longs;me temps &longs;ur tous les <lb/>plans qui &longs;ont dans le me&longs;me demi cer­<lb/>cle, ce que l'on comprendra par cette <lb/>figure dans laquelle AB e&longs;t le diametre, <lb/>qui repre&longs;ente la cheute perpendicu­<lb/><figure id="id.047.01.095.1.jpg" xlink:href="047/01/095/1.jpg"/><lb/>laire. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
795 <s id="s.000330">EB, DB, <lb/>& CB, ou FB, <lb/>GB, & HB <expan abbr="mõ-&longs;tr&etilde;t">mon­<lb/>&longs;trent</expan> les cheutes <lb/>obliques, qui &longs;e <lb/>font toutes en <lb/>me&longs;me temps <lb/>depuis le haut <lb/>iu&longs;ques au bas <lb/>de chaque plan, de &longs;orte que la boule <lb/>va au&longs;&longs;i to&longs;t de G à B que d'E à B. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
796 <s id="s.000331">Par <lb/>ou l'on void que le mouuement de la <lb/>boule e&longs;t d'autant plus lent que le plan <lb/>obligue s'approche <expan abbr="dauãtage">dauantage</expan> de l'hori­<lb/>zontal IK, &longs;ur 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> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
797 <s id="s.000332">Cette <lb/>figure contient encore d'autres lignes, à <lb/>&longs;çauoir AF, FG, GH, AG, & AH, &longs;ur <lb/>&longs;ur le&longs;quelles on peut encore con&longs;ide­<lb/>rer les mouuemens d'vne boule, affin <lb/>de les comparer auec ceux qui &longs;e font <lb/>&longs;ur les plans FG, GH, &c. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
798 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
799 <pb pagenum="76" xlink:href="047/01/096.jpg"/> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
800 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
801 <s id="s.000333">En cinquie&longs;me lieu, il faudroit con&longs;i­<lb/>derer quelle e&longs;t la vite&longs;&longs;e des mouue­<lb/>mens qui &longs;e font &longs;ur les plans BE, CE: <lb/><figure id="id.047.01.096.1.jpg" xlink:href="047/01/096/1.jpg"/><lb/>& D<lb/>E, qui <lb/>&longs;ont <lb/>dans <lb/>le <lb/>quart <lb/>du <lb/>cer­<lb/>cle B<lb/>CE, & quelle proportion elle a auec la <lb/>vite&longs;&longs;e du mouuement d'A en E, dont la <lb/>partie AH &longs;e fai&longs;ant dans vn <expan abbr="t&etilde;ps">temps</expan> don­<lb/>né, tout le re&longs;te depuis H iu&longs;ques à E &longs;e <lb/>fait dans vn autre temps egal. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
802 <s id="s.000334">Où il faut <lb/>encore remarquer que &longs;i l'on pend le <lb/>poids E à la chorde AE, & qu'on tire le <lb/>poids iu&longs;ques à B, que B <expan abbr="de&longs;c&etilde;dra">de&longs;cendra</expan> qua&longs;i <lb/>en me&longs;me temps de B à E par le quart <lb/>du cercle BCE qu'il de&longs;cendra de C, <lb/>ou de D au me&longs;me E. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
803 <s id="s.000335">Or les lignes Bk, <lb/>KL, & LM font veoir combien les <lb/>poids <expan abbr="de&longs;cend&etilde;t">de&longs;cendent</expan> &longs;ur les plans CE & DE, <lb/>& con&longs;equemment de combien il &longs;ont <lb/>retardez, & empe&longs;chez par chaque plan <lb/>incliné: par <expan abbr="ex&etilde;ple">exemple</expan>, le poids B roulant |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
804 <pb pagenum="77" xlink:href="047/01/097.jpg"/>de B à C &longs;ur le plan BC de&longs;cend autant <lb/>que quand il roulle de C en E, car la li­<lb/>gne BK e&longs;t égale à KM; & le poids <lb/>roullant de C à D de&longs;cend plus de deux <lb/>fois dauantage que celuy qui va de D à <lb/>E car LK e&longs;t plus que double de LM. <lb/>D'où il e&longs;t ay&longs;é de <expan abbr="cõclure">conclure</expan> que le poids <lb/>B qui de&longs;cend par le quart de cercle <lb/>BCE iroit <expan abbr="d'autãt">d'autant</expan> plus lentement qu'il <lb/>approche dauantage du point E, s'il n'a­<lb/>querroit nulle impetuo&longs;ité. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
805 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
806 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
807 <s id="s.000336">En &longs;ixie&longs;me lieu, la chorde AB con­<lb/>duira le poids B iu&longs;ques au diamettre <lb/>AE dans vn temps donné, &longs;i elle e&longs;t en <lb/>rai&longs;on doublee dudit temps, lors qu'elle <lb/>doit &longs;e mouuoir dans vn plus grand <lb/>temps; ou en rai&longs;on &longs;ouzdoublée, &longs;i el­<lb/>le &longs;e doit mouuoir dans vn moindre <lb/>temps: par exemple, &longs;i la chorde AB <lb/>porte B dans 4. moments iu&longs;ques à E, <lb/>la chorde &longs;ouzquadruple AI portera'I <lb/>iu&longs;ques à H dans vn moment. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
808 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
809 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
810 <s id="s.000337">En &longs;eptie&longs;me lieu, le poids qui <expan abbr="de&longs;c&etilde;d">de&longs;cend</expan> <lb/>de B en M, ou d'A en E va non <expan abbr="&longs;eulem&etilde;t">&longs;eulement</expan> <lb/>plus lentement en commençant &longs;on <lb/>mouuement, mai, au&longs;&longs;i il pa&longs;&longs;e par tous <lb/>les degrez po&longs;&longs;ibles de tardiueté, de &longs;or­<lb/>te que s'il n'augmentoit point la vi&longs;te&longs;&longs;e |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
811 <pb pagenum="78" xlink:href="047/01/098.jpg"/>qu'il a vers le milieu de la premiere &longs;ep­<lb/>tie&longs;me minute, il &longs;eroit deux ans & <lb/>20 iours à de&longs;cendre l'e&longs;pace d'vn <lb/>pied de Roy, comme ie demon&longs;treray <lb/>dans vn traité particulier. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
812 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
813 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
814 <s id="s.000338"><emph type="center"/>ADDITION VIII.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
815 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
816 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
817 <s id="s.000339">Il e&longs;t certain que les poids qui de&longs;­<lb/>cendent vers le centre augmentent <lb/>tou&longs;iours leur impetuo&longs;ité, & que &longs;i on <lb/>lai&longs;&longs;e cheoir vne boule &longs;ur le plan CA, <lb/>elle aura autant d'impetuo&longs;ité lors <lb/>qu'elle &longs;era arriuée au point A, comme <lb/>quand elle &longs;era tombée en B du point <lb/>C parce qu'elle &longs;era au&longs;&longs;i proche du <lb/>centre en A qu'en B: & cette impetuo­<lb/>&longs;ité &longs;era a&longs;&longs;ez grande pour faire remon­<lb/><figure id="id.047.01.098.1.jpg" xlink:href="047/01/098/1.jpg"/><lb/>ter le me&longs;me <lb/>poids iu&longs;ques à <lb/>C &longs;oit par la li­<lb/>gne oblique <lb/>AC, ou par la <lb/>perpendiculai­<lb/>re BC, pour­<lb/>ueu qu'il n'y ayt nul empe&longs;chement ex­<lb/>terieur. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
818 <s id="s.000340">Mais tandis que le poids tom­<lb/>be de C en T, il tombe de C en B, & par |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
819 <pb pagenum="79" xlink:href="047/01/099.jpg"/>con&longs;equemment il acquier beaucoup <lb/>plus d'impetuo&longs;ité en me&longs;me temps <lb/>par le plan horizontal que par l'in­<lb/>cliné. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
820 <s id="s.000341">Semblablement tandis que le <lb/>poids tombe par le plan AD de D en I, <lb/>il tombe de D en B, car la ligne IB e&longs;t <lb/>perpendiculaire &longs;ur la ligne AD; & &longs;i le <lb/>poids tombe iu&longs;ques en A, il &longs;era tombé <lb/>par la perpendiculaire DB prolongée <lb/>iu&longs;ques au poinct, auquel elle &longs;era cou­<lb/>pée par la ligne tirée du point A paral­<lb/>lele à IB, laquelle &longs;era perpendiculaire <lb/>au plan IA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
821 <s id="s.000342">Or il y a grande apparence <lb/>que le temps auquel le poids tombe <lb/>de C en B e&longs;t au temps auquel il tombe <lb/>de C en A, comme la ligne CB e&longs;t à la <lb/>ligne CA. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
822 <s id="s.000343">Ce que l'on peut exami­<lb/>ner en cette maniere. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
823 <s id="s.000344">Suppo&longs;ons donc <lb/>que le temps de la cheute d'A en B &longs;ur <lb/>le plan AB &longs;oit égal au temps de la <lb/>cheute qui &longs;e fait d'A en D: & <lb/><figure id="id.047.01.099.1.jpg" xlink:href="047/01/099/1.jpg"/><lb/>pour ce &longs;ubiect qu'au tri­<lb/>angle rectangle ABD le <lb/>co&longs;té D &longs;oit de 4. parties, & <lb/>le co&longs;té BA de deux, &longs;i A <lb/>D e&longs;t 1000. AB &longs;era 500, <lb/>& partant l'angle BDA <lb/>&longs;era de 30 degrez, car DA <expan abbr="e&longs;tãt">e&longs;tant</expan>, le rayon |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
824 <pb pagenum="80" xlink:href="047/01/100.jpg"/>AB &longs;era le Sinus de 30 degrez, & l'an­<lb/>gle BDA &longs;era de 60. degrez, & con&longs;e­<lb/>quemment le co&longs;té BD &longs;era 866, c'e&longs;t <lb/>à dire le Sinus de 60. Au triangle ABC <lb/>rectangle, en C l'angle BCA e&longs;t connu <lb/>de 60 degrez, donc l'angle ABC e&longs;t de <lb/>30. degrez, dont le &longs;inus AC e&longs;t 250, à <lb/>&longs;çauoir la moitié du rayon BA, & BC <lb/>&longs;inus de BAC 60. e&longs;t 433. de telles parties <lb/>dont AD e&longs;t 1000: donc &longs;i AC e&longs;t 250. <lb/>AB &longs;era 500. & AD 1000, de &longs;orte qu'A <lb/>B e&longs;t moyenne proportionnelle en­<lb/>tre DA, & CA; donc AD e&longs;t quadru­<lb/>ple de CA, & con&longs;equemment AB e&longs;t <lb/>double de CA. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
825 <s id="s.000345">De plus &longs;i l'on &longs;up­<lb/>po&longs;e qu'AC &longs;oit de 3. pieds, le poids <lb/>tombe de cet e&longs;pace dans vne &longs;econde, <lb/>& AD e&longs;tant quadruple d'AC, le poids <lb/>tombera par AD en deux &longs;econdes, & <lb/>parce que nous <expan abbr="auõs">auons</expan> &longs;uppo&longs;é qu'il chet <lb/>par la ligne AB en me&longs;me temps que <lb/>par la perpendiculaire AD, il fera au&longs;&longs;i <lb/>l'e&longs;pace AB en 2. &longs;econdes. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
826 <s id="s.000346">De &longs;orte <lb/>qu'il y aura me&longs;me rai&longs;on du temps de <lb/>la cheute AC à celuy de la cheute de 3 <lb/>pieds AB que de la ligne BA à la ligne <lb/>CA, qui a &longs;ix pieds. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
827 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
828 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
829 <s id="s.000347">Il faut encore remarquer que comme |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
830 <pb pagenum="81" xlink:href="047/01/101.jpg"/>AC e&longs;t &longs;ouz quadruple de DA, que <lb/>CE e&longs;t au&longs;&longs;i &longs;ouzquadruple de BD, & <lb/>AE de BA, & que de me&longs;me que CD <lb/>e&longs;t triple de CA, que BE e&longs;t triple d'E <lb/>A, & que comme la racine de CA e&longs;t à <lb/>la racine de DA, que le temps de la <lb/>cheute CA e&longs;t à celuy de la cheute <lb/>DA. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
831 <s id="s.000348">Et parce que le poids qui tombe <lb/>d'A en B e&longs;t deux fois autant de temps <lb/>que celuy qui tombe d'A en C, l'on <lb/>peut dire qu'il va au&longs;&longs;i vi&longs;te par AB que <lb/>par AC, puis qu'il fait vn chemin dou­<lb/>ble dans vn temps double. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
832 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
833 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
834 <s id="s.000349">D'où ie conclus que le plan peut telle­<lb/>ment e&longs;tre incliné &longs;ur l'horizon BC, <lb/>que la boule mi&longs;e de&longs;&longs;us &longs;era plus <lb/>d'vn an à rouler iu&longs;ques à B, & qu'vn <lb/>temps infini ne &longs;uffiroit pas pour &longs;on <lb/>roulement &longs;ur le plan horizontal de C <lb/>en B, parce que &longs;a tardiueté deuient in­<lb/>finie quand le plan incliné e&longs;t reduit au <lb/>plan horizontal, &longs;ur lequel la boule ne <lb/>&longs;e peut mouuoir que circulairement, <lb/>&longs;uppo&longs;é que la terre &longs;oit parfaitement <lb/>ronde, ce qui n'arriue point &longs;i le mou­<lb/>uement droit ne precede, & n'en e&longs;t <lb/>cau&longs;e: mais le poids n'aquierra point de <lb/>plus grande vi&longs;te&longs;&longs;e &longs;ur le plan horizon- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
835 <pb pagenum="82" xlink:href="047/01/102.jpg"/>tal, &longs;ur lequel il ira tou&longs;iours <expan abbr="vniforme-m&etilde;t">vniforme­<lb/>ment</expan> s'il ne trouue nulle <expan abbr="empe&longs;chem&etilde;t">empe&longs;chement</expan>, <lb/>d'autant qu'il e&longs;t tou&longs;iours également <lb/>éloigné de &longs;on centre. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
836 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
837 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
838 <s id="s.000350"><emph type="center"/>ADDITION. IX.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
839 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
840 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
841 <s id="s.000351">Galilée n'a point traité des <expan abbr="in&longs;trum&etilde;s">in&longs;trumens</expan> <lb/>qui &longs;e &longs;eruent de roües dentelees, com­<lb/><figure id="id.047.01.102.1.jpg" xlink:href="047/01/102/1.jpg"/><lb/>me <expan abbr="&longs;õt">&longs;ont</expan> celles cy B & 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, e&longs;t attachée, <lb/>affin d'accommoder &longs;es dents à celles <lb/>de la grande roüe B, qui tourne &longs;ur &longs;on <lb/>e&longs;&longs;ieu C, à l'entour duquel l'on met la <lb/>chorde qui tient le poids D. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
842 <s id="s.000352">Or on |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
843 <pb pagenum="83" xlink:href="047/01/103.jpg"/>multiplie ces roües tant que l'on veut <lb/>iu&longs;ques à l'infini: mais plus il y en a <expan abbr="dãs">dans</expan> <lb/>vn in&longs;trument & plus on e&longs;t long temps <lb/><figure id="id.047.01.103.1.jpg" xlink:href="047/01/103/1.jpg"/><lb/>à leuer <lb/>le poids <lb/>attaché <lb/>à celle <lb/>qui <lb/>tourne <lb/>le plus <lb/>lente­<lb/>ment, <lb/><expan abbr="cõme">comme</expan> <lb/><expan abbr="l'õ">l'on</expan> <expan abbr="experim&etilde;te">expe<lb/>rimente</expan> <lb/>aux hor<lb/>loges à <lb/>roües, <lb/>& à re&longs;­<lb/>&longs;ors. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
844 <s id="s.000353">Ie <lb/>mets <lb/>&longs;eule­<lb/>ment <lb/>icy la fi­<lb/>gure de <lb/>l'in&longs;tru­<lb/>ment <lb/>que l'on appelle Cry, qui &longs;ert pour |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
845 <pb pagenum="84" xlink:href="047/01/104.jpg"/>releuer les caro&longs;&longs;es, & les charrettes qui <lb/>&longs;ont ver&longs;ées. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
846 <s id="s.000354">La moindre figure IGH <lb/>fait voir &longs;a forme exterieure, & les <expan abbr="crãs">crans</expan>, <lb/>ou les dents H, qui ont la fourchette G <lb/>en haut pour leuer les fardeaux. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
847 <s id="s.000355">CB <lb/>fait veoir la maniuelle & le Pignon B <lb/>qui fait tourner la grande roüe AB, la­<lb/>quelle fait hau&longs;&longs;er le cry FE par le <lb/>moyen du pignon à trois dents D qui, <lb/>&longs;'aiu&longs;te dans les dents de FE. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
848 <s id="s.000356">Si l'on <lb/>multiplie les roües de cry on le rendra &longs;i <lb/>fort qu'il pourra leuer vne <expan abbr="mai&longs;õ">mai&longs;on</expan> toute <lb/>entiere, mais &longs;on effet &longs;era plus tardif en <lb/><figure id="id.047.01.104.1.jpg" xlink:href="047/01/104/1.jpg"/><lb/>recompen&longs;e. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
849 <s id="s.000357">Mais l'on ne peut enten<pb pagenum="85" xlink:href="047/01/105.jpg"/>dre la nature & les proprietez de ces <lb/>in&longs;trumens, &longs;i l'on ne comprend les pro­<lb/>prietez du cercle, dont ie parle dans <lb/>vn autre lieu. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
850 <s id="s.000358">Il y a encore d'au­<lb/>tres roües qui ont vne grande force, <lb/>comme &longs;ont celles de la viz &longs;ans fin, <lb/>dont ie donne &longs;eulement icy la figure, <lb/>dans laquelle EFG e&longs;t la plus grande <lb/>roüe. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
851 <s id="s.000359">AD e&longs;t l'arbre entouré des fi­<lb/>lets E qui entrent dans les dents de la <lb/>dite roüe: mais &longs;i l'on adioute la roüe <lb/>CB, elle redoublera la force, & la mani­<lb/>velle L fera tourner l'arbre K, dont les <lb/>filets B entrent dans les dents de la &longs;e­<lb/>conde roüe BC. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
852 <s id="s.000360">Le poids I e&longs;t attaché <lb/>à la chorde H, & &longs;e tient en chaque <lb/>degré de hauteur où l'on veut, &longs;ans <lb/>qu'il &longs;oit be&longs;oin d'arre&longs;ter l'in&longs;trument <lb/>par aucune force: mais les filets des ar­<lb/>bres s'v&longs;ent bien to&longs;t. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
853 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
854 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
855 <s id="s.000361">Finalement ie veux adiouter vn <lb/>mou&longs;&longs;le à &longs;ix poulies qui n'a pas e&longs;té <lb/>mis en &longs;on lieu, dans le chapitre des <lb/>poulies, affin que ceux qui s'en vou­<lb/>dront &longs;eruir, voyent comme il faut <lb/>con&longs;truire cet in&longs;trument, que Pappus <lb/>appelle Poly&longs;pa&longs;te dans la 24 propo&longs;i­<lb/>tion du 8. liure de &longs;es Recueils Mathe- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
856 <pb pagenum="86" xlink:href="047/01/106.jpg"/><figure id="id.047.01.106.1.jpg" xlink:href="047/01/106/1.jpg"/><lb/>matiques, où il nomme <lb/>l'armeure HF, ou AG <lb/><emph type="italics"/>manganum.<emph.end type="italics"/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
857 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
858 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
859 <s id="s.000362">L'on voit donc en ce <lb/>mouffle &longs;ix roües, à &longs;ça­<lb/>uoir 3 en bas F, D, B, & <lb/>3 en haut G, E, C, mais <lb/>la derniere d'enhaut <lb/>G ne multiplie point la <lb/>force, dautant qu'elle <lb/>ne &longs;ert que comme la <lb/>&longs;imple poulie d'vn <lb/>puys. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
860 <s id="s.000363">Or cet in&longs;tru­<lb/>ment e&longs;t plai&longs;ant en ce <lb/>que &longs;i 4 ou 5 hommes <lb/>employent toute leur <lb/>force à tirer la chorde <lb/>IK, celuy qui tire le <lb/>bout de la chorde L <lb/>d'vne &longs;eule main les <lb/>fait venir à luy malgré <lb/>qu'ils en a yent. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
861 <s id="s.000364">Et l'on <lb/>peut y mettre tant de <lb/>poulies que l'on mene­<lb/>ra les Egli&longs;es, les tours, <lb/>& les autres edifices <lb/>où l'on voudra, pour­<lb/>ueu <expan abbr="qu'õ">qu'on</expan> les pui&longs;&longs;e cein- |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
862 <pb pagenum="87" xlink:href="047/01/107.jpg"/>dre de chordes a&longs;&longs;ez fortes pour ce &longs;uiet, <lb/>& que les murailles ne &longs;e &longs;eparent point <lb/>les vnes des autres. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
863 <s id="s.000365">Ceux qui veulent <lb/>&longs;erieu&longs;ement e&longs;tudier aux Mechani­<lb/>ques doiuent lire tout le 8 liure de <lb/>Pappus, <expan abbr="dãs">dans</expan> lequel il explique plu&longs;ieurs <lb/>&longs;ortes d'in&longs;trumens; & les liure de Gui­<lb/>don Vbalde, qui a le mieux de tous trai­<lb/>té de la nature de ces in&longs;trumens. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
864 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
865 <p type="head"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
866 <s id="s.000366"><emph type="center"/>ADDITION. X.<emph.end type="center"/><!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
867 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
868 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
869 <s id="s.000367">Ie mets encore icy vne figure du plan <lb/>incliné, affin que l'on con&longs;idere l'utilité <lb/>du triangle rectangle dans les mecha­<lb/>niques. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
870 <s id="s.000368">Soit donc le triangle BAC, <expan abbr="dõt">dont</expan> <lb/>la &longs;ou&longs;tendante ou l'hypotenu&longs;e BC <lb/><figure id="id.047.01.107.1.jpg" xlink:href="047/01/107/1.jpg"/><lb/>e&longs;t double du co­<lb/>&longs;té BA, & la ba&longs;e <lb/>AC e&longs;t parallele <lb/>à l'horizon il: e&longs;t <lb/>con&longs;tant que le <lb/>poids F doit e&longs;tre 2. fois au&longs;&longs;i pe&longs;ant que <lb/>le poids D pour e&longs;tre équilibre, <expan abbr="dautãt">dautant</expan> <lb/>qu'ils doiuent garder entr'eux la me&longs;me <lb/>rai&longs;on que le co&longs;té CB au co&longs;té AB. <!-- KEEP S--></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
871 <s id="s.000369"><lb/>Mais lors que l'on veut &longs;çauoir la force <lb/>dont le poids F pre&longs;&longs;e le plan BF, il faut <lb/>prendre la ba&longs;e du triangle AC & la |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
872 <pb pagenum="88" xlink:href="047/01/108.jpg"/>comparer auec l'hypotenu&longs;e BC, d'au­<lb/>tant que la pe&longs;anteur entiere du <lb/>poids F e&longs;t à celle par. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
873 <s id="s.000370">laquelle il <lb/>pre&longs;&longs;e le plan BC, comme CB e&longs;t à <lb/>CA, de &longs;orte que &longs;i BC e&longs;t 5, & CA 4. <lb/>la rai&longs;on de la <expan abbr="pe&longs;ãteur">pe&longs;anteur</expan> totale e&longs;t &longs;e&longs;qui­<lb/>quarte de la pe&longs;anteur relatiue, & <expan abbr="con-&longs;equãment">con­<lb/>&longs;equamment</expan> la force F ne pourroit rom­<lb/>pre vne re&longs;i&longs;tance de 5. Par où lon voit <lb/>que la con&longs;ideration du rayon AC, de la <lb/>tangente BA, & de la <expan abbr="&longs;ecãte">&longs;ecante</expan> BC e&longs;t en­<lb/>tierement nece&longs;&longs;aire pour les mechani­<lb/>ques, dont i'ay parlé fort amplement <lb/>dans le dix & l'onzie&longs;me theorême du <lb/>&longs;econd liure de l'harmonie vniuer&longs;elle. </s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
874 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
875 <p type="main"> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
876 <s id="s.000371">Or pui&longs;que l'on demon&longs;tre que la vi­<lb/>&longs;te&longs;&longs;e des poids qui de&longs;cendent &longs;ur les <lb/>plans inclinez s'augmentent en rai&longs;on <lb/>doublée des temps, il e&longs;t ay&longs;é de deter­<lb/>miner vn lieu &longs;ur vn plan incliné tel que <lb/>l'on voudra, auquel le poids ira au&longs;&longs;i <lb/>vi&longs;te qu'en vn autre lieu donné de &longs;a <lb/>de&longs;cente perpendiculaire, comme l'on <lb/>peut conclure de ce qui a e&longs;té dit dans la <lb/>8 Addition. <lb/></s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
877 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
878 <p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
879 <s id="s.000372">FIN.</s> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
880 </p> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
881 </chap> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
882 </body> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
883 </text> |
22d6a63640c6
moved texts from SVN https://it-dev.mpiwg-berlin.mpg.de/svn/mpdl-project-content/trunk/texts/eXist/
casties
parents:
diff
changeset
|
884 </archimedes> |