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Removing DESpecs directory which deserted to git
author Klaus Thoden <kthoden@mpiwg-berlin.mpg.de>
date Wed, 29 Nov 2017 16:55:37 +0100
parents 22d6a63640c6
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<?xml version="1.0" encoding="utf-8"?><echo xmlns="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:de="http://www.mpiwg-berlin.mpg.de/ns/de/1.0/" xmlns:dcterms="http://purl.org/dc/terms" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:echo="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.0RC">
  <metadata>
    <dcterms:identifier>ECHO:16HBZHF5.xml</dcterms:identifier>
    <dcterms:creator identifier="GND:117592307">Zanotti, Francesco Maria</dcterms:creator>
    <dcterms:title xml:lang="it">Della forza de' corpi che chiaman viva</dcterms:title>
    <dcterms:date xsi:type="dcterms:W3CDTF">1752</dcterms:date>
    <dcterms:language xsi:type="dcterms:ISO639-3">ita</dcterms:language>
    <dcterms:rights>CC-BY-SA</dcterms:rights>
    <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license>
    <dcterms:rightsHolder xlink:href="http://www.mpiwg-berlin.mpg.de">Max Planck Institute for the History of Science, Library</dcterms:rightsHolder>
    <log>replaced unknown character 015 manually</log>
  </metadata>
  <text xml:lang="it" type="free">
<div xml:id="echoid-div1" type="section" level="1" n="1">
<pb file="0001" n="1"/>
<pb file="0002" n="2"/>
<pb file="0003" n="3"/>
<pb file="0004" n="4"/>
<pb file="0005" n="5"/>
<handwritten/>
<handwritten/>
<pb file="0006" n="6"/>
<pb file="0007" n="7"/>
</div>
<div xml:id="echoid-div2" type="section" level="1" n="2">
<head xml:id="echoid-head1" xml:space="preserve"><emph style="red">DELLA FORZA DE’CORPI</emph></head>
<head xml:id="echoid-head2" xml:space="preserve">CHE CHIAMANO VIVA</head>
<head xml:id="echoid-head3" xml:space="preserve"><emph style="red">LIBRI TRE</emph></head>
<head xml:id="echoid-head4" style="it" xml:space="preserve">DEL SIGNOR</head>
<head xml:id="echoid-head5" xml:space="preserve"><emph style="red">FRANCESCO MARIA ZANOTTI</emph></head>
<head xml:id="echoid-head6" style="it" xml:space="preserve">AL SIGNORE</head>
<head xml:id="echoid-head7" xml:space="preserve"><emph style="red">GIAMBATISTA MORGAGNI.</emph></head>
<p>
  <s xml:id="echoid-s1" xml:space="preserve">Ne quali libri ha proccurato l’ Autore, quanto ha potuto, <lb/>di promovere la quiſtione col ſolo diſcorſo metafiſico, <lb/>ſenza aſſumere dalla geometria, ne dalla mec-<lb/>canica altro, che le propoſizioni più note, <lb/>e più comuni.</s>
  <s xml:id="echoid-s2" xml:space="preserve"/>
</p>
  <figure>
    <image file="0007-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0007-01"/>
<caption xml:id="echoid-caption1" xml:space="preserve"><emph style="red">IN BOLOGNA MDCCLII.</emph></caption>
  </figure>
<p>
  <s xml:id="echoid-s3" xml:space="preserve">Per gli Eredi di Conſtantino Piſarri, e Giacomo Filippo <lb/>Primodì, Impreſſori del S. </s>
  <s xml:id="echoid-s4" xml:space="preserve">Officio. </s>
  <s xml:id="echoid-s5" xml:space="preserve"><emph style="it">Con lic. de’ Sup.</emph></s>
</p>
<pb file="0008" n="8"/>
<pb o="v" file="0009" n="9"/>
</div>
<div xml:id="echoid-div3" type="section" level="1" n="3">
<head xml:id="echoid-head8" xml:space="preserve">FRANCESCO TIBALDI</head>
<head xml:id="echoid-head9" xml:space="preserve">a quelli, nelle cui mani verrà <lb/>queſto libro.</head>
<p style="it">
  <s xml:id="echoid-s6" xml:space="preserve"><emph style="it">E</emph>Gli ſuole aſſai ſpeſſo intervenire, <lb/>iettor corteſe, che alcuni mettanſi <lb/>a leggere un libro, e non ſapendo <lb/>quello, che da eſſo aſpettar debba-<lb/>no, aſpettin tutt’ altro da quello, <lb/>che poi ritrovano; </s>
  <s xml:id="echoid-s7" xml:space="preserve">di che condanna-<lb/>no il libro ſteſſo, e ſe ne dolgono; </s>
  <s xml:id="echoid-s8" xml:space="preserve">ne avverto-<lb/>no, che il libro non è mancato forſe all’ intendi-<lb/>mento, per cui fu ſcritto, ma ſolo a quello, per <lb/>cui eſſi lo hanno letto. </s>
  <s xml:id="echoid-s9" xml:space="preserve">Di che la colpa è bene <lb/>ſpeſſo degli autori, i quali dovrebbono nel princi-<lb/>pio delle loro opere dichiarare, e metter bene di-<lb/>nanzi agli occhi quello, che in eße aſpettar deb-<lb/>baſi; </s>
  <s xml:id="echoid-s10" xml:space="preserve">e non permettere, che gli altri le leggeſſero <lb/>a caſo, e ſi trovaſſero finalmente del loro ſtudio, <lb/>e della lor fatica ingannati. </s>
  <s xml:id="echoid-s11" xml:space="preserve">Il perchè avendo io <lb/>diliberato di dare alle ſtampe la preſente operet-<lb/>ta, non ſenza conſentimento del ſuo autore, con-<lb/>vengo avviſarvi di alcune coſe, acciocchè non er-<lb/>riate, e leggendola non dobbiate commettervi del <lb/>tutto alla fortuna. </s>
  <s xml:id="echoid-s12" xml:space="preserve">E prìmamente non ba già in-<lb/>teſo l’ autore, ſcrivendo queſto libretto, di promo-<lb/>vere la quiſtione della forza viva, et eſtender-
<pb o="vi" file="0010" n="10"/>
la di là da quei termini, ai quali per opera di <lb/>molti valentiſſimi uomini era giunta; </s>
  <s xml:id="echoid-s13" xml:space="preserve">molto me-<lb/>no poi ha voluto diffinirla, cosi che non debba re-<lb/>ſtarne alcun dubio; </s>
  <s xml:id="echoid-s14" xml:space="preserve">perciocchè egli non ſi tien da <lb/>tanto, e ſi ha propoſto nell’ animo di trattare la <lb/>controverſia, non di levarla. </s>
  <s xml:id="echoid-s15" xml:space="preserve">Solamente ha proc-<lb/>curato ſpiegarla, quanto potevaſi, col diſcorſo me-<lb/>tafiſico, ſenza aſſumere dalle ſcienze matematiche, <lb/>ſe non le propoſizioni più note e più comuni, e <lb/>ciò a fine, che quelli, i quali ſon privi della geo-<lb/>metria, e della meccanica più ſottile, non credan <lb/>per ciò di dover’ eſſer anche privi d’ una quiſtion <lb/>così illuſtre, e ſi diſperino di poterne intendere <lb/>veruna parte; </s>
  <s xml:id="echoid-s16" xml:space="preserve">il che ſarebbe danno della quiſtio-<lb/>ne medeſima. </s>
  <s xml:id="echoid-s17" xml:space="preserve">E queſta è la ragione, perchè io ho <lb/>creduto far bene, ſtampando la preſente opera; <lb/></s>
  <s xml:id="echoid-s18" xml:space="preserve">parendomi, che doveſſe eſſer utile a molti; </s>
  <s xml:id="echoid-s19" xml:space="preserve">e che <lb/>quantunque l’ argomento non foſſe nuovo, foſſe <lb/>però nuova la maniera di trattarlo. </s>
  <s xml:id="echoid-s20" xml:space="preserve">Quelli adun-<lb/>que, i quali hanno toccato alcun poco i principj <lb/>della geometria e della meccanica, e ſanno qual-<lb/>cuna delle propoſizioni più famoſe, potranno entra-<lb/>re a leggere queſto libro con grande animo, ſicu-<lb/>ri di doverlo intendere pienamente. </s>
  <s xml:id="echoid-s21" xml:space="preserve">Gli altri, che <lb/>niente ſanno di matematica, quantunque poſſano <lb/>leggerne, et intenderne moltiſſime parti, tuttavia <lb/>debbono eſſere avviſati, che perduta opera ſarebbe, <lb/>che tutto il leggeſſero. </s>
  <s xml:id="echoid-s22" xml:space="preserve">Ne è però, che quelli, i <lb/>quali ſono negli ſtudj della geometria, e della <lb/>meccanica verſatiſſimi, non abbiano ancb’ eſſi biſo-
<pb o="vii" file="0011" n="11"/>
gno di qualche avviſo. </s>
  <s xml:id="echoid-s23" xml:space="preserve">Perciocchè molti di loro ſi <lb/>ſdegnano di fermarſi nelle coſe, che eſſi ſtimano fa-<lb/>cili, e vorrebbono entrar ſubito nelle più alte, e <lb/>più recondite; </s>
  <s xml:id="echoid-s24" xml:space="preserve">i quali però ſe hanno bene inteſo il <lb/>titolo, che abbiamo dato al libro, do vrebbono anche <lb/>avere inteſo, che egli è fatto per li meno fretto-<lb/>loſi, e non per loro. </s>
  <s xml:id="echoid-s25" xml:space="preserve">I più poi ſono cosi impazien-<lb/>ti, che vorrebbono in ogni coſa udir ſubito la pro-<lb/>poſizione, che vuol dimoſtrarſi, e venir toſto alla <lb/>dimoſtrazione, ne ſoffrono verun’ indugio; </s>
  <s xml:id="echoid-s26" xml:space="preserve">con che <lb/>ſi allontanano dal ſermon comune e familiare, che <lb/>ſi uſa tutto di nelle civili compagnie, dove non è <lb/>alcuno mai, che argomenti con tanta fretta. </s>
  <s xml:id="echoid-s27" xml:space="preserve">E tan-<lb/>to più banno in odio ogni dimora, e ſi noiano del-<lb/>le interrogazioni, e delle ampliazioni, e dei proe-<lb/>mj; </s>
  <s xml:id="echoid-s28" xml:space="preserve">ſe venga loro ſoſpetto, che ſieno fatti con qual-<lb/>che ſtudio, e v’ abbia alcuna parte l’ eloquenza. <lb/></s>
  <s xml:id="echoid-s29" xml:space="preserve">E queſti ancora poſſono rimaner ſi di leggere la pre-<lb/>ſente operetta, a cui l’ autore, ſcrivendola, non <lb/>per darla alle ſtampe, ma per ingannare il tempo <lb/>et alleviar le ſue noje, ha voluto dar forma di <lb/>dialogo; </s>
  <s xml:id="echoid-s30" xml:space="preserve">la qual forma l’ ha aſtretto a ſeguire <lb/>una maniera alquanto ampia di dire, che i più <lb/>dei matematici non ſoffrono; </s>
  <s xml:id="echoid-s31" xml:space="preserve">ma egli ha creduto <lb/>di dover più toſto provedere a ſe ſteſſo, che a lo-<lb/>ro. </s>
  <s xml:id="echoid-s32" xml:space="preserve">Ne io mi ſarei avviſato di farla imprimere, <lb/>ſe non aveſſi creduto, che foſſero ancor molti aſſai <lb/>più pazienti, ai quali gli ornamenti del dialogo <lb/>non diſpiacerebbono. </s>
  <s xml:id="echoid-s33" xml:space="preserve">E certo io non ſo, per qual <lb/>ragione debbano diſpiacere a veruno; </s>
  <s xml:id="echoid-s34" xml:space="preserve">perchè ſe i
<pb o="viii" file="0012" n="12"/>
matematici ſteſſi, eziandio i più auſteri, e di-<lb/>ciam pure, i più ſalvatichi, e rozzi, conſidere-<lb/>ranno bene quello, ch’ e’ fanno nelle loro ſcuole, <lb/>troveranno, che ridicono eſſi ancora le medeſime <lb/>coſe più volte, e interrogano, e ſi laſciano inter-<lb/>rogare; </s>
  <s xml:id="echoid-s35" xml:space="preserve">e per renderſi attenti gli uditori commen-<lb/>dano le coſe, che vogliono inſegnare; </s>
  <s xml:id="echoid-s36" xml:space="preserve">e perchè ſie-<lb/>no più dilettevoli, le ſpargon talvolta di leggia-<lb/>dri motti; </s>
  <s xml:id="echoid-s37" xml:space="preserve">il che ſe fanno con giudicio, e con pru-<lb/>denza, ſono eloquenti ſenza avvederſene. </s>
  <s xml:id="echoid-s38" xml:space="preserve">E ſe cosi <lb/>fatti artificj uſano eſſi inſegnando nelle loro ſcuo-<lb/>le, perchè non debbon ſoffrire, che ſi uſino ſcriven-<lb/>do? </s>
  <s xml:id="echoid-s39" xml:space="preserve">Oltreche a ſpiegar le quiftioni alquanto ſot-<lb/>tili, e difficili, chi è che non abbia ſtimata ſempre <lb/>comodiſſima la forma del dialogo? </s>
  <s xml:id="echoid-s40" xml:space="preserve">la qual però ſa-<lb/>rebbe inutile, ſe doveßer levarſene tutti quegli <lb/>artificj, che ritardando la diſputa, la rendon tut-<lb/>tavia molto più chiara, e più gioconda. </s>
  <s xml:id="echoid-s41" xml:space="preserve">Dee dun-<lb/>que eßer lecito in un dialogo trattener le quiſtioni <lb/>acciocchè non vadano cosi ſubito alle loro ul-<lb/>time conſeguenze, ma aſpettino fino a tanto, che <lb/>ſi ſieno abbellite, et ornate. </s>
  <s xml:id="echoid-s42" xml:space="preserve">Al che certamente mol-<lb/>ta, e lunga opera ſi richiede. </s>
  <s xml:id="echoid-s43" xml:space="preserve">Perchè io ſentj già <lb/>dire a un ſavio uomo, e nelle lettere grandemente <lb/>verſato, che il dialogo dee avere in ſe tutte le <lb/>bellezze della commedia, con queſta differenza ſo-<lb/>la, che dove nella commedia ſi intrecciano varie <lb/>avventure, nel dialogo ſi intrecciano diſpute e ra-<lb/>gionamenti; </s>
  <s xml:id="echoid-s44" xml:space="preserve">ne dee però l’ intrecciamento di queſti <lb/>nel dialogo eſſere men veriſimile, ne meno meravi-
<pb o="ix" file="0013" n="13"/>
glioſo che l’ intrecciamento di quelle nella comme-<lb/>dia. </s>
  <s xml:id="echoid-s45" xml:space="preserve">Dee dunque nel dialogo parere, che quei ra-<lb/>gionamenti, che vi ſi raccontano, ſieno veramente <lb/>ſtati fatti, et in quel modo; </s>
  <s xml:id="echoid-s46" xml:space="preserve">onde biſogna, che pa-<lb/>jano di tanto in tanto naſcere a caſo, perchè cosi <lb/>per lo più ſoglion naſcere nelle comuni compagnie; <lb/></s>
  <s xml:id="echoid-s47" xml:space="preserve">e che ſieno accomodati alla condizione, et al gene-<lb/>re delle perſone, che ragionano; </s>
  <s xml:id="echoid-s48" xml:space="preserve">cosi che vi ſi veg-<lb/>ga anche il coſtume; </s>
  <s xml:id="echoid-s49" xml:space="preserve">ne debbono sfuggirſi le di-<lb/>greſſioni vaghe e dilettevoli, cercando in ogni par-<lb/>te la varietà e la copia. </s>
  <s xml:id="echoid-s50" xml:space="preserve">E ſopra tutto vuol’ eſ-<lb/>ſere il dialogo maraviglioſo, cosi che anche in que-<lb/>ſto niente ceda alla commedia; </s>
  <s xml:id="echoid-s51" xml:space="preserve">il che s’ ottiene per <lb/>le dimande, e molto più per le riſpoſte inaſpettate; </s>
  <s xml:id="echoid-s52" xml:space="preserve"><lb/>e faccendo uſcir talvolta il diſcorſo, donde men ſi <lb/>credea, che uſcir doveſſe, e ricominciar la quiſtio-<lb/>ne, dove parea finita; </s>
  <s xml:id="echoid-s53" xml:space="preserve">e torcendo anche ſpeſſo gli <lb/>argomenti per modo, che n’ eſcano le conſeguenze <lb/>improvviſe, e contrarie a quelle, che ſi aſpettava-<lb/>no. </s>
  <s xml:id="echoid-s54" xml:space="preserve">A tutto ciò ſi aggiunge, che ricercaſi al dia-<lb/>logo un dir domeſtico e familiare quaſi come al-<lb/>la commedia, con una perpetua giocondità, ſparſa <lb/>di varie facezie, e quelle non già frivole e pue-<lb/>rili, ma quai ſi convengono ad uomo d’ alto inge-<lb/>gno, e di grande animo; </s>
  <s xml:id="echoid-s55" xml:space="preserve">e molto meno vili e ple-<lb/>bee; </s>
  <s xml:id="echoid-s56" xml:space="preserve">che, tali eſſendo, anche alle commedie ben fatte <lb/>ſi disdicono. </s>
  <s xml:id="echoid-s57" xml:space="preserve">Nella qual’ arte, come in ogni coſa, <lb/>furono veramente eccellentiſſimi Cicerone tra i la-<lb/>tini, e tra i noſtri il Caſtiglione. </s>
  <s xml:id="echoid-s58" xml:space="preserve">Ora non potreb-<lb/>bono certamente ſeguirſi tutti queſti artificj, ne
<pb o="x" file="0014" n="14"/>
darſi al dialogo tanta vagbezza, e varietà, qual-<lb/>ora ſi eſponeßer le coſe con quella fretta, che ſuol <lb/>piacere ai matematici: </s>
  <s xml:id="echoid-s59" xml:space="preserve">della quale quelli, che ſo-<lb/>no vaghi, e la vogliono per tutto, non dovranno <lb/>per mio avviſo leggere il preſente libro. </s>
  <s xml:id="echoid-s60" xml:space="preserve">Sebbene <lb/>ſaranno anche di quegli, i quali, quantunque ami-<lb/>no il dialogo, e ne prendan piacere, non vorranno <lb/>però concedergli una certa libertà, che gli è ſtata <lb/>ſempre conceduta, di ſcherzar talvolta, e metterſi <lb/>in dimeſtichezza: </s>
  <s xml:id="echoid-s61" xml:space="preserve">ed altri, ſe egli è ſcritto in ita-<lb/>liano, vorranno riprenderlo, ove non oßervi le re-<lb/>gole della lingua fiorentina. </s>
  <s xml:id="echoid-s62" xml:space="preserve">E cosi gli uni come <lb/>gli altri mi pajon degni di avviſo. </s>
  <s xml:id="echoid-s63" xml:space="preserve">Però comin-<lb/>ciando dai primi: </s>
  <s xml:id="echoid-s64" xml:space="preserve">non ſi accorgono eſſi, che le van-<lb/>do al dialogo ogni ſcherzo, gli levano eziandio ogni <lb/>giocondità? </s>
  <s xml:id="echoid-s65" xml:space="preserve">levata la quale, che accade più ſcriver <lb/>dialoghi o leggerne? </s>
  <s xml:id="echoid-s66" xml:space="preserve">E certo che il dialogo altro <lb/>non è, che una imitazione, e per così dire un’ im-<lb/>magine delle oneſte e civili compagnie, alle quali <lb/>pare, che molto manchi, mancando la dimeſtichez-<lb/>za, e la libertà. </s>
  <s xml:id="echoid-s67" xml:space="preserve">Ma eſſi pur vorrebbono, che, par-<lb/>landoſi delle loro ſcienze, ſi parlaſſe ſempre ſtan-<lb/>do in piedi, e con la berretta in mano, e maſſi-<lb/>mamente faccendoſi menzione di quei grandi uo-<lb/>mini, che eſſi adorano, ſi piegaſſe il capo per ri-<lb/>verenza ogni volta, che ſi nominano, come foſſero <lb/>tanti Numi; </s>
  <s xml:id="echoid-s68" xml:space="preserve">il che ſtancherebbe le perſone, che <lb/>ſi introducon nel dialogo, le quali per lo più vo-<lb/>gliono ſtarvi con comodo, e ſcherzar tra loro con <lb/>libertà, e ſollazzarſi. </s>
  <s xml:id="echoid-s69" xml:space="preserve">Et è ben coſa da ridere,
<pb o="xi" file="0015" n="15"/>
che quando quelli, che parlano, moſtrano di ave-<lb/>re gli uomini, di cui parlano, per dabbene e coſ-<lb/>tumati, et oltre a ciò per valoroſi nelle arti lo-<lb/>ro, non poſſan poi uſare una burla, ne ſcherzan-<lb/>do dire: </s>
  <s xml:id="echoid-s70" xml:space="preserve">coteſta opinione è troppo altiera: </s>
  <s xml:id="echoid-s71" xml:space="preserve">tu se’ <lb/>malizioſo: </s>
  <s xml:id="echoid-s72" xml:space="preserve">et altre tali coſe, che, dette manife-<lb/>ſtamente per iſcherzo, contengono più toſto laude <lb/>che biaſimo; </s>
  <s xml:id="echoid-s73" xml:space="preserve">e certamente non moſtrano cattivo <lb/>animo, ne inimichevole in chi le dice. </s>
  <s xml:id="echoid-s74" xml:space="preserve">Ne certo <lb/>volle il Bembo, che doveßero inimicarſi tra loro <lb/>Giſmondo e Perottino, benchè l’ uno accuſaſſe l’ <lb/>altro di menzogna, anzi inteſe, che foſſer tra <lb/>loro amiciſſimi; </s>
  <s xml:id="echoid-s75" xml:space="preserve">e la Signora Emilia Pia non eb-<lb/>be a male, che il Conte Lodovico da Canoſſa le <lb/>riſpondeße, che non potea mancare chi contraddi-<lb/>ceſſe al vero, ovunque ella foße; </s>
  <s xml:id="echoid-s76" xml:space="preserve">e di queſti e-<lb/>ſempi il Caſtiglione è pieno. </s>
  <s xml:id="echoid-s77" xml:space="preserve">Ma oggidì ſono mol-<lb/>ti, maſſime in queſta noſtra Città, tanto vezzoſi, <lb/>che ragionando delle lor profeſſioni non vogliono, <lb/>che ſi rida, e ſe il fai, ſe ne turbano: </s>
  <s xml:id="echoid-s78" xml:space="preserve">i qua-<lb/>li però ſappiano, che io gli ho riguardati tanto, <lb/>che per riſpetto di loro io avea già quaſi depoſto <lb/>il penſiero di dare queſt’ operetta alle ſtam-<lb/>pe; </s>
  <s xml:id="echoid-s79" xml:space="preserve">e l’ autore ſteßo parea, che me ne diſtoglieſ-<lb/>ſe. </s>
  <s xml:id="echoid-s80" xml:space="preserve">Il quale, avendogli io ſignificato per lettere <lb/>di volerla fare imprimere, così mi riſpoſe: </s>
  <s xml:id="echoid-s81" xml:space="preserve"><emph style="it">vede-</emph> <lb/><emph style="it">te bene, che alcuni non ſe ne offendano;</emph> </s>
  <s xml:id="echoid-s82" xml:space="preserve"><emph style="it"> per-</emph> <lb/><emph style="it">chè ſebbene in queſto libro ſi moſtra per tutto</emph> <lb/><emph style="it">grandiſſima ſtima degli altri, i più dei letterati</emph> <lb/><emph style="it">non ſe ne contentano, e vogliono bandire ogni</emph>
<pb o="xii" file="0016" n="16"/>
<emph style="it">famigliarità et ogni ſcherzo; </emph></s>
  <s xml:id="echoid-s83" xml:space="preserve"><emph style="it">e queſta credono</emph> <lb/><emph style="it">eſſere la maniera, che debba tenerſi ſempre da</emph> <lb/><emph style="it">chiunque ſcrive; </emph></s>
  <s xml:id="echoid-s84" xml:space="preserve"><emph style="it">faccendo come i noſtri Lom-</emph> <lb/><emph style="it">bardi, i quali, eſſendo ſtati alle corti, ſi cre-</emph> <lb/><emph style="it">dono, che in tutti i tempi, e a tutte le occa-</emph> <lb/><emph style="it">ſioni debba parlarſi con quella ſteſſa ſerietà, e</emph> <lb/><emph style="it">circoſpezione, con cui hanno veduto, che ſi par-</emph> <lb/><emph style="it">la co i gran Signori;</emph> </s>
  <s xml:id="echoid-s85" xml:space="preserve"><emph style="it">e dovunque ſieno, ſem-</emph> <lb/><emph style="it">pre ſono nell’ anticamera di qualche Re; </emph></s>
  <s xml:id="echoid-s86" xml:space="preserve"><emph style="it">e non</emph> <lb/><emph style="it">intendono, che quello, che è forſe laude in un</emph> <lb/><emph style="it">luogo, è molte volte affettazione in un’ altro.</emph></s>
  <s xml:id="echoid-s87" xml:space="preserve"><lb/>Et aggiugneva poi in altro luogo della ſteßa ſua <lb/>lettera: </s>
  <s xml:id="echoid-s88" xml:space="preserve"><emph style="it">io non credo però, che dovrà alcuno</emph> <lb/><emph style="it">accuſarmi di mal’ animo, conſiderando, che</emph> <lb/><emph style="it">io ho introdotto me ſteſſo nel mio dialogo, ne</emph> <lb/><emph style="it">ho dubitato di far, che altri uſino verſo me del-</emph> <lb/><emph style="it">la medeſima libertà, di cui tutto il dialogo uſa</emph> <lb/><emph style="it">verſo gli altri;</emph> </s>
  <s xml:id="echoid-s89" xml:space="preserve"><emph style="it">e ſcherzando mi chiamino talvolta</emph> <lb/><emph style="it">ſofiſtico, e malizioſo, e mi rimproverino, ch’</emph> <lb/><emph style="it">io dica il contrario di quel, che penſo; </emph></s>
  <s xml:id="echoid-s90" xml:space="preserve"><emph style="it">i quali</emph> <lb/><emph style="it">ſcherzi ſe io gli aveſſi per ingiurie, non avrei</emph> <lb/><emph style="it">voluto, che altri me gli diceſſe.</emph></s>
  <s xml:id="echoid-s91" xml:space="preserve">Così mi ſcriſſe l’ <lb/>autore. </s>
  <s xml:id="echoid-s92" xml:space="preserve">E a dir vero l’ ultima ragione per lui ad-<lb/>dotta, parendomi aſſai valevole a dimoſtrare l’ <lb/>animo ſuo amichevole verſo tutti, fece sì, che io <lb/>non deponeſſi il penſiero di imprimere l’ ope-<lb/>retta. </s>
  <s xml:id="echoid-s93" xml:space="preserve">Il che, ajutantemi Iddio, farò ora, non. <lb/></s>
  <s xml:id="echoid-s94" xml:space="preserve">ſenza però ſupplicar prima i dilicati, e tutti quel. </s>
  <s xml:id="echoid-s95" xml:space="preserve"><lb/>li, che non vogliono concedere al dialogo niuna di-<lb/>meſtichezza ne famigliarità, di non leggerla. </s>
  <s xml:id="echoid-s96" xml:space="preserve">Ma
<pb o="xiii" file="0017" n="17"/>
già di queſti s’ è detto abbaſtanza. </s>
  <s xml:id="echoid-s97" xml:space="preserve">Gli amatori <lb/>poi della lingua fiorentina, percioccbè biſogna ſvel-<lb/>ler dal loro animo alcune opinioni dall’ uſo, e dall’ <lb/>età confermate, meritano più lungo avviſo. </s>
  <s xml:id="echoid-s98" xml:space="preserve">Io dico <lb/>dunque, che ſe lor piace lo ſcrivere, e il parlar <lb/>fiorentino, non ſolamente io non gli riprendo, ma <lb/>grandemente gli laudo; </s>
  <s xml:id="echoid-s99" xml:space="preserve">pruchè non vogliano aſtrin-<lb/>ger tutti alla medeſima uſanza, e ſoffrano, che ſi <lb/>ſcriva anche talvolta in altra lingua. </s>
  <s xml:id="echoid-s100" xml:space="preserve">Perchè ſeb-<lb/>bene fra tutte le lingue, che s’ uſano in Italia, <lb/>non può negarſi, che la più leggiadra, e la più <lb/>colta, e la più nobile non ſia la Fiorentina; </s>
  <s xml:id="echoid-s101" xml:space="preserve">ha <lb/>però un’ altra lingua, che può chiamarſi Italiana, <lb/>e ſi forma e raccoglie da tutte quelle, che parlan. <lb/></s>
  <s xml:id="echoid-s102" xml:space="preserve">ſi nelle provincie dell’ Italia, la qual ſebbene <lb/>non arriva, ſecondo ch’ io giudico, alla leggiadria <lb/>et alla grazia dei Toſcani, è però bella aßai, e <lb/>propria, e chiara, e riſplendente, così che uno, che <lb/>prenda a ſcrivere in eßa, mettendovi il debito ſtu-<lb/>dio, non dee diſperarſi di poter ſcrivere eccellen-<lb/>temente. </s>
  <s xml:id="echoid-s103" xml:space="preserve">Anzi avviene non poche volte, che uno <lb/>ſcriva aßai meglio in queſta lingua men bella, <lb/>che non farebbe, ſe voleſſe ſcrivere nella fioren-<lb/>tina belliſſima; </s>
  <s xml:id="echoid-s104" xml:space="preserve">in tanto che io conſiglierei molti, <lb/>maſſimamente di quelli, che non ſon nati in To-<lb/>ſcana, a voler piuttoſto parer buoni italiani ſcri-<lb/>vendo in italiano, che parer cattivi fiorentini vo-<lb/>lendo ſcrivere in fiorentino. </s>
  <s xml:id="echoid-s105" xml:space="preserve">Ne di ciò debbono <lb/>ſdegnarſi i Fiorentini ſteſſi; </s>
  <s xml:id="echoid-s106" xml:space="preserve">i quali amando tan-<lb/>to, e con ragione, quella lor lingua, dovrebbono
<pb o="xiv" file="0018" n="18"/>
aver caro, che gli altri, per volere imitarla, non <lb/>glie la guaſtaßero. </s>
  <s xml:id="echoid-s107" xml:space="preserve">E certamente quelli, che la <lb/>guaſtano, e volendo ſcrivere nella fiorentina lin-<lb/>gua, non ne hanno ne il ſapore ne la grazia, tan-<lb/>to più mi pajon da riprendere, che avendo eſſi per <lb/>le mani un’ altra lingua, in cui potrebbono forſe, <lb/>ſe vi applicaſſer l’ animo, ſcrivere leggiadramente, <lb/>la traſcurano, ancorchè non manchino loro grandiſ-<lb/>ſimi e nobiliſſimi eſempi. </s>
  <s xml:id="echoid-s108" xml:space="preserve">Che di vero l’ Arioſto <lb/>ſcrivendo, come e’ ſcriſſe, non moſtrò gran fatto <lb/>di voler ſottoporſi alle regole del parlar fiorenti-<lb/>no; </s>
  <s xml:id="echoid-s109" xml:space="preserve">il Caſtiglione nel ſuo belliſſimo Cortegiano cer-<lb/>to non volle. </s>
  <s xml:id="echoid-s110" xml:space="preserve">E qneſti pur furono nello ſcrivere <lb/>eccellentiſſimi. </s>
  <s xml:id="echoid-s111" xml:space="preserve">E potrei addurne molt’ altri, i <lb/>quali ſcrivendo in italiano, banno ſcritto tanto <lb/>bene, che i Fiorentini ſe gli banno poi preſi, et <lb/>annoverati fra i ſuoi autori, credendo, che tutto <lb/>quello, che è ben ſcritto, ſia degno di eßere fio-<lb/>rentino. </s>
  <s xml:id="echoid-s112" xml:space="preserve">Con che banno aſſai dimoſtrato, quanto <lb/>apprezzino le altre lingue dell’ italia, et ban fat-<lb/>to animo a chiunque voglia dell’ altre lingue ſer-<lb/>virſi; </s>
  <s xml:id="echoid-s113" xml:space="preserve">potendo oggimai ſperare ognuno, che in eſ-<lb/>ſe ſcriva, purchè abbia vagbezza e grazia, di di-<lb/>ventar fiorentino una volta. </s>
  <s xml:id="echoid-s114" xml:space="preserve">Nè mi ſi dica, che <lb/>permettendo io a gl’ Italiani di ſcrivere in lin-<lb/>gua italiana ſenza ſoggettarſi alle regole del par-<lb/>lar fiorentino, io voglia conceder loro una sfrena-<lb/>tiſſima libertà di uſar tutte le parole, e tutti i <lb/>modi, che lor vengono a mente, ſenza diſtinzio-<lb/>ne, e ſenza regola niuna. </s>
  <s xml:id="echoid-s115" xml:space="preserve">Perciocchè in qualun-
<pb o="xv" file="0019" n="19"/>
que lingua l’ uom ſcriva, ſe vuol ſcriver bene, e <lb/>con lode, biſogna che oßervi le regole di quella <lb/>lingua, in cui ſcrive; </s>
  <s xml:id="echoid-s116" xml:space="preserve">et oltre a ciò raccolga le <lb/>parole e le forme più vaghe, e più proprie di eſ-<lb/>ſa, così che induca nell’ orazione un certo, per <lb/>così dir, ſapore, che ne diſtingua il linguaggio, <lb/>et una certa urbanità, la quale Cicerone ſtimò <lb/>neceßariiſſima in ogni diſcorſo, quantunque con-<lb/>feſſaße di non ſaper diffinirla. </s>
  <s xml:id="echoid-s117" xml:space="preserve">E certo i grandiſ-<lb/>ſimi ſcrittori l’ banno ſempre con ogni ſtudio proc-<lb/>curata, faccendo ſcelta di quelle forme, che ſti-<lb/>maron più proprie, e per così dir native di quel. <lb/></s>
  <s xml:id="echoid-s118" xml:space="preserve">la lingua, in cui ſcrivevano. </s>
  <s xml:id="echoid-s119" xml:space="preserve">E noi veggiamo, <lb/>che l’ Arioſto volle più toſto dire:</s>
  <s xml:id="echoid-s120" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s121" xml:space="preserve">Che furo al tempo che paſſaro i Mori <lb/><emph style="it">che dire:</emph></s>
</p>
<p style="it">
  <s xml:id="echoid-s122" xml:space="preserve"><emph style="it">Che fur nel tempo, in cvi paſſaro i Mori</emph> <lb/>et amò meglin di dire: </s>
  <s xml:id="echoid-s123" xml:space="preserve"><emph style="it">ſopra Re Carlo,</emph> che: <lb/></s>
  <s xml:id="echoid-s124" xml:space="preserve"><emph style="it">ſopra il Re Carlo.</emph> </s>
  <s xml:id="echoid-s125" xml:space="preserve">E il Caſtiglione nel principio <lb/>della ſua lettera al Veſcovo di Viſeo diße: </s>
  <s xml:id="echoid-s126" xml:space="preserve"><emph style="it">paſsò,</emph> <lb/><emph style="it">di queſta vita,</emph> e non: </s>
  <s xml:id="echoid-s127" xml:space="preserve"><emph style="it">paſsò da queſta vita,</emph> o: </s>
  <s xml:id="echoid-s128" xml:space="preserve"><lb/><emph style="it">morì,</emph> perchè quand’ anche non foſſe errore il di-<lb/>re a queſt’ ultimo modo, pure non può negarſi, <lb/>che quella prima maniera non abbia molto più gra-<lb/>zia. </s>
  <s xml:id="echoid-s129" xml:space="preserve">E certo altra vagbezza ha il dire: </s>
  <s xml:id="echoid-s130" xml:space="preserve"><emph style="it">vedi a</emph> <lb/><emph style="it">cui io do mangiare il mio,</emph> come diſſe il Boccac-<lb/>cio, che non avrebbe il dire: </s>
  <s xml:id="echoid-s131" xml:space="preserve"><emph style="it">vedi a qual perſo-</emph> <lb/><emph style="it">na io do da mangiare la roba mia.</emph></s>
  <s xml:id="echoid-s132" xml:space="preserve">Le quali mi-<lb/>nuzie ſon veramente minuzie, et ognuna da ſe <lb/>è di pochiſſimo momento; </s>
  <s xml:id="echoid-s133" xml:space="preserve">ma tutte inſieme, eſſen-
<pb o="xvi" file="0020" n="20"/>
done fparſa l’ orazione, maſſimamente ſe ſi faccia <lb/>per modo, che non moſtriſi troppo ſtudio, le acqui-<lb/>ſtano quell’ odore di urbanità, che tanto piacque a <lb/>Cicerone. </s>
  <s xml:id="echoid-s134" xml:space="preserve">Ora quelli, che non vogliono ſcrivere <lb/>fiorentino, dicendo, che baſta loro di ſcrivere ita-<lb/>liano, io voglio, che ſappiano in primo luogo, che, <lb/>così ſcrivendo, non poßon già uſare qualunque vo-<lb/>ce o forma lor piaccia, ma debbono, ſe voglion <lb/>pur ſcrivere leggiadramente, raccoglier le più bel-<lb/>le, e le più proprie di tutte le lingue dell’ Ita-<lb/>lia; </s>
  <s xml:id="echoid-s135" xml:space="preserve">con che ſi addoſſano non guari minor pe-<lb/>ſo, che ſe voleſſero ſcrivere fiorentino. </s>
  <s xml:id="echoid-s136" xml:space="preserve">Ma al-<lb/>cuni diranno, queſta fatica eſſer ſoverchia; </s>
  <s xml:id="echoid-s137" xml:space="preserve">percioc-<lb/>chè i rettori inſegnano, potere introdurſi vocaboli <lb/>foreſtieri e nuovi; </s>
  <s xml:id="echoid-s138" xml:space="preserve">e doverſi arriccbir la lingua; <lb/></s>
  <s xml:id="echoid-s139" xml:space="preserve">per la qual coſa non hanno poi eſſi difficoltà veru-<lb/>na di dir tutto quello, che banno udito in qual-<lb/>ſivoglia luogo o compagnia ſenza giudizio, e ſen-<lb/>za ſcelta niuna. </s>
  <s xml:id="echoid-s140" xml:space="preserve">Nel che ſi inganna<unsure/>no grandemen-<lb/>te. </s>
  <s xml:id="echoid-s141" xml:space="preserve">Perciocchè l’ introdurre nuove voci non è, ne <lb/>può eſſer opera d’ un uomo ſolo, ne manco d’ al-<lb/>cuni pochi; </s>
  <s xml:id="echoid-s142" xml:space="preserve">ricercandoviſi la conſuetudine, che ſi for-<lb/>ma da molti e in lungo tempo; </s>
  <s xml:id="echoid-s143" xml:space="preserve">concioſiacoſache <lb/>un’ vocabolo allora ſolo può dirſi introdotto in una <lb/>lingua, quando le orecchie delle perſone, che guſta-<lb/>no quella tal lingua, hanno cominciato a ricever-<lb/>lo volentieri, e con piacere; </s>
  <s xml:id="echoid-s144" xml:space="preserve">il che non può farſi <lb/>ſe non per un lungo uſo. </s>
  <s xml:id="echoid-s145" xml:space="preserve">E ſe così non foſſe, po-<lb/>trebbe ognuno, uſando qualſiſia vocabolo una vol-<lb/>ta ſola, pretendere, che egli foſſe divenuto della
<pb o="xvii" file="0021" n="21"/>
lingua; </s>
  <s xml:id="echoid-s146" xml:space="preserve">e addur per ragione, che la lingua non <lb/>dee rifiutare le voci nuove, anzi dee arricchir ſe-<lb/>ne; </s>
  <s xml:id="echoid-s147" xml:space="preserve">ma con tutto queſto però il vocabolo ſi rimar-<lb/>rà foreſtiero e barbar<unsure/>o, fino a tanto che la con-<lb/>ſuetudine lo approvi. </s>
  <s xml:id="echoid-s148" xml:space="preserve">Ne io avrò mai per voci <lb/>italiane ne <emph style="it">immiarſi</emph>, ne <emph style="it">incinquare</emph>, come che le <lb/>abbia dette una volta il divino Dante; </s>
  <s xml:id="echoid-s149" xml:space="preserve">non po-<lb/>tendomi capir nell’ animo, che debbano averſi per <lb/>voci italiane quelle, che gl’ Italiani generalmen-<lb/>te abborriſcono. </s>
  <s xml:id="echoid-s150" xml:space="preserve">‘Può dunque un uomo ſolo propor <lb/>talvolta alcuna voce nuova o foreſtiera, e commet-<lb/>terla alla ventura, come fece Dante molte volte, <lb/>e più felicemente di lui il Petrarca; </s>
  <s xml:id="echoid-s151" xml:space="preserve">ma ſe le orec-<lb/>chie la rifiutano, non potrà mai fare che ella ſia <lb/>della lingua, ne poſſa dirviſi introdotta. </s>
  <s xml:id="echoid-s152" xml:space="preserve">Laonde <lb/>quelli, che banno pur voglia di introdur nuove <lb/>voci, e ſtimano gran lode l’ inventarne alcuna; <lb/></s>
  <s xml:id="echoid-s153" xml:space="preserve">come non ſon ſicuri dell’ eſito, così dovrebbono far-<lb/>lo rade volte, e non ſenza molta diſcrezione e giu-<lb/>dicio; </s>
  <s xml:id="echoid-s154" xml:space="preserve">anzi dovrebbono eſaminar prima, ſe le vo-<lb/>ci, che vogliono introdurre, ſieno tali, che poſſa. </s>
  <s xml:id="echoid-s155" xml:space="preserve"><lb/>no piacere a quelle perſone, che hanno già avvez-<lb/>zate le orecchie alla lingua, e guſtatone alquanto <lb/>la bellezza, maſſimamente leggendo i libri buoni. </s>
  <s xml:id="echoid-s156" xml:space="preserve"><lb/>Perchè di vero la lingua italiana componendoſi del-<lb/>le vocí<unsure/> e delle forme miglior<unsure/>i di tutte le provin-<lb/>cie, può dirſi, che non ſi parla in niuna provin-<lb/>cia; </s>
  <s xml:id="echoid-s157" xml:space="preserve">laonde biſogna più toſto apprenderla dai libri: </s>
  <s xml:id="echoid-s158" xml:space="preserve"><lb/>il che non sò, ſe non poßa dirſi anche della fiorenti-<lb/>na. </s>
  <s xml:id="echoid-s159" xml:space="preserve">Che ſe la vagbezza di introdur voci nuove
<pb o="xviii" file="0022" n="22"/>
e foreſtiere, <emph style="it">(</emph>che è oramai tanto ſparſa per l’ Ita-<lb/>lia, che pare una certa peſtilenza<emph style="it">)</emph> foſſe congiun-<lb/>ta a quella avvertenza, e a quel giudicio, che <lb/>abbiamo detto, conſerverebbeſi il bel parlare italia-<lb/>no; </s>
  <s xml:id="echoid-s160" xml:space="preserve">ne ſi udirebbe cosi frequentemente, come s’ ode <lb/>in più luoghi d’ Italia, ne <emph style="it">pareſſoſo</emph> per <emph style="it">pigro</emph>, <lb/>ne <emph style="it">difeſo</emph> per <emph style="it">vietato</emph>, ne <emph style="it">giorno</emph> per <emph style="it">lume</emph>, ne <lb/>ſi avrebbe tutto ’l di in bocca: </s>
  <s xml:id="echoid-s161" xml:space="preserve"><emph style="it">mi dò l’ onore,</emph> <lb/>e <emph style="it">avanzo la notizia;</emph></s>
  <s xml:id="echoid-s162" xml:space="preserve">perciocchè queſte ed altre <lb/>forme venute d’ oltremonte non ancora han potu-<lb/>to piacere a quelli, che banno guſto di lingua italia-<lb/>na; </s>
  <s xml:id="echoid-s163" xml:space="preserve">e dovrebbono perciò o uſarſi con gran cautela, <lb/>o sfuggirſi del tutto. </s>
  <s xml:id="echoid-s164" xml:space="preserve">Ne vale il dire, che il popolo <lb/>le ſoffre, e le amano i nobili e i gran Signori; </s>
  <s xml:id="echoid-s165" xml:space="preserve">per-<lb/>ciocchè il popolo è contento di intender la coſa, che <lb/>ſi dice, comunque ſi dica; </s>
  <s xml:id="echoid-s166" xml:space="preserve">ne cerca, ne sà, che coſa <lb/>ſia leggiadria ne grazia di bel parlare; </s>
  <s xml:id="echoid-s167" xml:space="preserve">laonde è <lb/>coſa vana cercar di piacergli in ciò. </s>
  <s xml:id="echoid-s168" xml:space="preserve">I nobili, la <lb/>più parte, e maſſimamente i gran Signori, poco dal <lb/>popolo ſi allontanano; </s>
  <s xml:id="echoid-s169" xml:space="preserve">e quelli di loro, che banno <lb/>guſto di ſcrivere <emph style="it">(</emph>ſe n’ è alcuno, che l’ abbia<emph style="it">)</emph> a-<lb/>borriſcono eſſi pure coteſto uſo così frequente delle <lb/>forme foreſtiere, e l’ hanno per grandiſſima affetta-<lb/>zione; </s>
  <s xml:id="echoid-s170" xml:space="preserve">quelli poi, che le uſano, e le amano tanto, <lb/>le uſano non per farle divenir italiane, ma per pa-<lb/>rere foreſtieri eſſi; </s>
  <s xml:id="echoid-s171" xml:space="preserve">che, non sò come, banno preſo in <lb/>aborrimento la lor nazione, e niente più ſtudiano <lb/>che di non parere italiani; </s>
  <s xml:id="echoid-s172" xml:space="preserve">non ſapendo forſe, che <lb/>la nazione Italiana è così ſplendida e nobile, come <lb/>qualunque altra. </s>
  <s xml:id="echoid-s173" xml:space="preserve">Io concederò dunque che parlando
<pb o="xix" file="0023" n="23"/>
o ſcrivendo a queſti Signori in particolare, e volen-<lb/>do per qualche oneſto fine piacer loro unicamente, ſi <lb/>debbano uſar quelle forme, che più loro piacciono; <lb/></s>
  <s xml:id="echoid-s174" xml:space="preserve">perchè in tal caſo dovrehbe ſcriverſi anche in piemon-<lb/>teſe, o in romagnuolo, ſe così voleſſero. </s>
  <s xml:id="echoid-s175" xml:space="preserve">E lo ſteſſo <lb/>vorrebbe farſi anche ſcrivendo al popolo. </s>
  <s xml:id="echoid-s176" xml:space="preserve">Ma non per <lb/>ciò dovrà dirſi, che quello ſia uno ſcriver bello ita-<lb/>liano, non potendo eßere bello ſcrivere italiano ſe <lb/>non quello, che piace agli amatori dell’ italiana lin-<lb/>gua. </s>
  <s xml:id="echoid-s177" xml:space="preserve">Ma già m’ avveggo d’ eſſermi eſteſo ſopra ciò <lb/>troppo più lungamente, che non conveniva. </s>
  <s xml:id="echoid-s178" xml:space="preserve">Però tor-<lb/>nando al propoſito, quantunque per mio avviſo debba <lb/>eſſer lecito a ciaſcuno di ſcrivere in quella lingua, che <lb/>più gli piace, o italiana, o fiorentina; </s>
  <s xml:id="echoid-s179" xml:space="preserve">ſe però ſono <lb/>alcuni, che tanto amino la lingua fiorentina, che non <lb/>poſſano amar altro; </s>
  <s xml:id="echoid-s180" xml:space="preserve">io gli eſorto di non leggere il <lb/>preſente libretto; </s>
  <s xml:id="echoid-s181" xml:space="preserve">perciocchè l’ autore, come un gior-<lb/>no mi diſſe egli ſteſſo, ha ſtudiato tanto poco di <lb/>farlo in buona lingua, che non che in fiorentino, <lb/>teme di non averlo fatto ne pure in italiano; </s>
  <s xml:id="echoid-s182" xml:space="preserve">ma <lb/>ſcrivendo il libro tra molte angustie d’ animo, e <lb/>ſolamente per ſollevar ſe medeſimo, non ha creduto <lb/>di dover mettere molto ſtudio per ſatisfare agli altri. </s>
  <s xml:id="echoid-s183" xml:space="preserve"><lb/><emph style="it">Ben’ è vero,</emph> ſoggiugneva egli, <emph style="it">che ſe il libro</emph> <lb/><emph style="it">venir doveſſe nelle mani delle perſone, biſogne-</emph> <lb/><emph style="it">rebbe avviſarle prima di queſto ſteſſo; </emph></s>
  <s xml:id="echoid-s184" xml:space="preserve">e far lo- <lb/><emph style="it">ro intendere, che io ſo bene (</emph> diceva egli<emph style="it">) di</emph> <lb/><emph style="it">non aver’ adempiute le parti di buon ſcrittore,</emph> <lb/><emph style="it">ne di aver dato al dialogo quegli ornamenti,</emph> <lb/><emph style="it">e quelle grazie, che ſi richiedevano; </emph></s>
  <s xml:id="echoid-s185" xml:space="preserve"><emph style="it">acciocchè</emph>
<pb o="xx" file="0024" n="24"/>
<emph style="it">ſe alcuno mi accuſaſſe, che io abbia ſcritto</emph> <lb/><emph style="it">rozzamente, non debba anche accuſarmi, che</emph> <lb/><emph style="it">io non l’ abbia conoſciuto.</emph> </s>
  <s xml:id="echoid-s186" xml:space="preserve"><emph style="it">E per non dimi-</emph> <lb/><emph style="it">nuire la gloria de’ valenti uomini, ſarebbe</emph> <lb/><emph style="it">anche neceſſario far ſapere a tutti quelli, che</emph> <lb/><emph style="it">foſſer per leggere l’ operetta (ſe alcuno però</emph> <lb/><emph style="it">di tanto la ſtimaſſe degna) che il dialogo è</emph> <lb/><emph style="it">finto del tutto, e ſecondo che è coſtume dei</emph> <lb/><emph style="it">dialoghi fa dire alle perſone quello, che non</emph> <lb/><emph style="it">hanno mai detto.</emph> </s>
  <s xml:id="echoid-s187" xml:space="preserve"><emph style="it">Perchè di vero ſe quei ſin-</emph> <lb/><emph style="it">golariſſimi et eccellenti uomini, che io ho in-</emph> <lb/><emph style="it">trodotto a ragionare, aveſſero parlato di quell’</emph> <lb/><emph style="it">argomento ſecondo l’ opinione e il ſentimento</emph> <lb/><emph style="it">loro, e con quella facondia, che è loro pro-</emph> <lb/><emph style="it">pria, avrebbono detto coſe molto migliori, e</emph> <lb/><emph style="it">molto meglio.</emph></s>
  <s xml:id="echoid-s188" xml:space="preserve">Così mi diſſe l’ autor medeſimo, a <lb/>cui credo di aver ſoddisfatto baſtantemente, rife-<lb/>rendo le ſue ſteſſe parole. </s>
  <s xml:id="echoid-s189" xml:space="preserve">Deſidero, dando il libro <lb/>alle ſtampe, di ſoddisfare anche ai lettori; </s>
  <s xml:id="echoid-s190" xml:space="preserve">e ſe ſa-<lb/>ranno tali, quali in queſto mio ragionamento ho <lb/>moſtrato di voler, che ſieno, non ſo perchè non deb-<lb/>’ba ſperarlo; </s>
  <s xml:id="echoid-s191" xml:space="preserve">maſſimamente ſe vorran legger con at<unsure/>-<lb/>tenzione, e non paßare avanti prima di aver be-<lb/>ne inteſe tutte le coſe antecedenti; </s>
  <s xml:id="echoid-s192" xml:space="preserve">il che ſe è ne-<lb/>ceßario in ogni libro, io credo, che in queſto ſia <lb/>neceßariiſſimo.</s>
  <s xml:id="echoid-s193" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s194" xml:space="preserve">Le Figure ſi citeranno nel margine, et ognuna ſervirà per <lb/>tutto quel tratto, che ſegue fino ad una<unsure/> nuova cita-<lb/>zione.</s>
  <s xml:id="echoid-s195" xml:space="preserve"/>
</p>
<pb o="1" file="0025" n="25"/>
</div>
<div xml:id="echoid-div4" type="section" level="1" n="4">
<head xml:id="echoid-head10" xml:space="preserve">DELLA FORZA DE’ CORPI <lb/>CHE CHIAMANO VIVA</head>
<head xml:id="echoid-head11" style="it" xml:space="preserve">LIBRO I.</head>
<head xml:id="echoid-head12" xml:space="preserve">AL SIGNOR</head>
<head xml:id="echoid-head13" xml:space="preserve">GIAMBATISTA MORGAGNI.</head>
<p>
  <s xml:id="echoid-s196" xml:space="preserve">HO dubitato grandemente fra me me-<lb/>deſimo, Signor Giambatiſta cariſ-<lb/>ſimo, ſe conveniſſe, che io pren-<lb/>deſſi a ſcrivere di una quiſtione <lb/>per tanto tempo, e da tanti eccel-<lb/>lentiſſimi uomini trattata, et illu-<lb/>ſtrata, quale ſi è queſta, che oggidì ſi fa nelle <lb/>ſcuole, ſopra quella forza, che alcuni attribui-<lb/>ſcono a corpi, e chiaman viva; </s>
  <s xml:id="echoid-s197" xml:space="preserve">e ſcrivendone <lb/>pure, doveſſi indrizzarmi a voi, diſtogliendovi, <lb/>o dalle voſtre occupazioni, o dal voſtro ozio. <lb/></s>
  <s xml:id="echoid-s198" xml:space="preserve">Imperocchè avendo di quella ſcritto prima di ogn’ <lb/>altro l’ incomparabil Leibnizio, et eſſendo ſtata <lb/>dopo aſſai lungo intervallo dal chiariſſimo Ber-<lb/>nulli rinovata la controverſia; </s>
  <s xml:id="echoid-s199" xml:space="preserve">nella qual poi tanti <lb/>nobiliſſimi filoſofi di Francia, di Germania, d’ In-<lb/>ghilterra, d’ Italia, d’ Europa tutta ſi ſono eſerci-<lb/>tati, e tratti chi da un’ opinione, e chi da un’ <lb/>altra, tanti ſcritti ne han dato fuori; </s>
  <s xml:id="echoid-s200" xml:space="preserve">chi è, che
<pb o="2" file="0026" n="26" rhead="DELLA FORZA DE’ CORPI"/>
deſideri, che più oltre ſe ne ſcriva? </s>
  <s xml:id="echoid-s201" xml:space="preserve">Che anzi io <lb/>mi credo eſſer molti, i quali vorrebbono, che <lb/>non ſe ne foſſe fcritto tanto. </s>
  <s xml:id="echoid-s202" xml:space="preserve">Ne io certamente <lb/>contraſtarei loro ſopra ciò; </s>
  <s xml:id="echoid-s203" xml:space="preserve">e tanto meno il fa-<lb/>rei, che io temo, che voi, l’ autorità del quale <lb/>più vale preſſo di me, che quella di tutti gli al-<lb/>tri, ſiate pure della medeſima opinione; </s>
  <s xml:id="echoid-s204" xml:space="preserve">e certa-<lb/>mente avete più, che ogni altro, ragione di eſ-<lb/>ſerlo. </s>
  <s xml:id="echoid-s205" xml:space="preserve">Perciocchè eſſendo voi in tante e ſi diver-<lb/>ſe arti, e ſcienze, e in tutti i più nobili, e gen-<lb/>tili ſtudj eccellentiſſimo, par che non dobbiate <lb/>poter fermarvi lungamente nella ſteſſa coſa, ne <lb/>eſſere troppo ſpeſſo richiamato alla medeſima qui-<lb/>ftione. </s>
  <s xml:id="echoid-s206" xml:space="preserve">Senza che negar non potete, che in mez-<lb/>zo a tanti ſtudj, ne quali ſiete grandiſſimo, e <lb/>ſommo, abbiate tuttavia ſingolarmente rivolto l’ <lb/>animo alla notomia, nella quale, aggiungendo i <lb/>voſtri belliſſimi ritrovamenti ad una perfettiſſima, <lb/>e quaſi infinita conoſcenza degli altrui, tanto in-<lb/>nanzi proceduto ſiete, che par che ad uomo <lb/>mortale, ſapendo tanto in queſto genere, non. <lb/></s>
  <s xml:id="echoid-s207" xml:space="preserve">ſia lecito ſaper’ altro. </s>
  <s xml:id="echoid-s208" xml:space="preserve">E certo leggendo io le. </s>
  <s xml:id="echoid-s209" xml:space="preserve"><lb/>voſtre maraviglioſe opere ( di che non è coſa, <lb/>ch’ io faccia ne più ſpeſſo ne più volentieri) <lb/>ſoglio ſempre maravigliarmi grandemente, come <lb/>voi trattando materie anatomiche, non ſola-<lb/>mente vi dimoſtriate di quello, che voi tratta-<lb/>te, ſopra ogni altro peritiſſimo, ma anche do-<lb/>vunque il luogo, e l’ argomento il richieggano, <lb/>in infinite altre ſcienze dottiſſimo, ne ſolo in
<pb o="3" file="0027" n="27" rhead="LIBRO I."/>
quelle, che ſon propinque, e per così dir fini-<lb/>time alla notomia, come ſarebbono la medici-<lb/>na, la chimica, la chirurgia, la naturale iſto-<lb/>ria, ma anche nella dialettica, nella fiſica, nella <lb/>matematica, nella filoſoſia tutta, nelle quali tan-<lb/>to ſavio vi dimoſtrate, che ben ſi vede, che po-<lb/>treſte trattare ancor queſte ottimamente, ſe vole-<lb/>ſte. </s>
  <s xml:id="echoid-s210" xml:space="preserve">Et oltre a tanta dottrina avete anche ador-<lb/>nata la notomia voſtra di così vaga e leggia-<lb/>dra forma di ſcriver latino, che io non ſo, qual <lb/>Muſa aveſſe potuto ornarla meglio. </s>
  <s xml:id="echoid-s211" xml:space="preserve">Alle quali <lb/>coſe tutte ( ſe io voleſſi pure paleſare al Mondo <lb/>ciò, che pare, che voi abbiate voluto, che ſia. <lb/></s>
  <s xml:id="echoid-s212" xml:space="preserve">naſcoſto ) potrei aggiungere un perfettiſſimo, e <lb/>finiſſimo diſcernimento in ogni maniera di poeſia <lb/>volgare, e latina, et una certa ſingolar grazia di <lb/>ſcriver toſcano, nel quale parmi aſſai volte, che <lb/>volendo imitare quegli antichi eccellentiſſimi <lb/>ſcrittori, gli abbiate anzi ſuperati. </s>
  <s xml:id="echoid-s213" xml:space="preserve">E forſe an-<lb/>cora in queſti ſtudj avete cercato alcun’ orna-<lb/>mento alla voſtra Notomia. </s>
  <s xml:id="echoid-s214" xml:space="preserve">La qual però ſe vi <lb/>ha conceduto di poter traſcorrere in eſſi di quan-<lb/>do in quando, e dar loro qualche parte del vo-<lb/>ſtro ozio, riſerbando a ſe ſteſſa tutte le voſtre <lb/>fatiche, non ſo ſe vi permetterà così di leggie-<lb/>ri, che vi fermiate lungamente ſu le medeſime <lb/>coſe, e ritorniate più volte con l’ animo alla. </s>
  <s xml:id="echoid-s215" xml:space="preserve"><lb/>ſteſſa quiſtione; </s>
  <s xml:id="echoid-s216" xml:space="preserve">tanto più che per l’ altezza del <lb/>grandiſſimo ingegno voſtro non ne avete in al-<lb/>cun modo biſogno. </s>
  <s xml:id="echoid-s217" xml:space="preserve">Il perchè io ho temuto lun-
<pb o="4" file="0028" n="28" rhead="DELLA FORZA DE’ CORPI"/>
gamente di commettere error troppo grave, et <lb/>eſſer moleſto a voſtri ſtudj, ſe io vi richiamaſſi <lb/>ad una controverſia, della quale avete già inteſo <lb/>da lungo tempo i principj e i proſeguimenti, e le <lb/>ragioni tutte eſaminate così che nulla vi reſta or-<lb/>mai da eſaminare. </s>
  <s xml:id="echoid-s218" xml:space="preserve">Pure ho voluto far prova an-<lb/>che in queſto dell’ amore verſo me voſtro, et eſ-<lb/>ponendovi una materia, che voi molto meglio di <lb/>me ſapete, mettervi innanzi una ſcrittura, la. <lb/></s>
  <s xml:id="echoid-s219" xml:space="preserve">quale eſſendovi del tutto inutile, pur vi piaceſſe, <lb/>ſe tanto vaglio appreſſo voi, perchè mia. </s>
  <s xml:id="echoid-s220" xml:space="preserve">Et ho <lb/>voluto vedere, ſe diſcoſtandovi pur talvolta dal-<lb/>la notomia per amore dell’ altre ſcienze, vorre-<lb/>ſte diſcoſtarvene alcun poco anche per amor mio. </s>
  <s xml:id="echoid-s221" xml:space="preserve"><lb/>Il che ſe io otterrò (che non è cofa, che io non <lb/>ſperi dall’ amor voſtro) meno mi curerò del giu-<lb/>dizio degli altri, ne temerò che alcuno mi ripren-<lb/>da di aver poſto l’ opera mia inutilmente, ſcri-<lb/>vendo un libro, col quale voi abbiate potuto ſol-<lb/>levar l’ animo, e paſſar volentieri una parte del <lb/>voſtro ozio; </s>
  <s xml:id="echoid-s222" xml:space="preserve">di che anzi tutti gli ſtudioſi delle <lb/>buone arti per quell’ amore grandiſſimo, che han-<lb/>no et avranno ſempre di voi, dovranno, cred’ <lb/>io, ſenza fine ringraziarmi. </s>
  <s xml:id="echoid-s223" xml:space="preserve">Ne io voglio però <lb/>arrogarmi tanto per me ſteſſo; </s>
  <s xml:id="echoid-s224" xml:space="preserve">anzi ben conoſcen-<lb/>do di non poter da me ſolo trattenere l’ altiſſimo <lb/>ingegno voſtro, ho ſtabilito di eſporvi alcuni <lb/>ragionamenti, i quali leggendo dovrete credere, <lb/>che ſieno ſtati, una gran parte, fatti, non da <lb/>me, ma da alcuni chiariſſimi, e nobiliſſimi ſpi-
<pb o="5" file="0029" n="29" rhead="LIBRO I."/>
riti, co’ quali io uſai famigliarmente in Napoli <lb/>l’ anno paſſato; </s>
  <s xml:id="echoid-s225" xml:space="preserve">e quand’ anche non gli aveſſero <lb/>fatti eſſi, pure vi piacerà di crederlo, e dovrà eſ. <lb/></s>
  <s xml:id="echoid-s226" xml:space="preserve">ſervi cara e gioconda la memoria de i nomi lo-<lb/>ro. </s>
  <s xml:id="echoid-s227" xml:space="preserve">E a dir vero quantunque la Città di Napo-<lb/>li in quel poco tempo, che io vi dimorai, mi pa-<lb/>reſſe oltremodo nobile, e magniſica, e ſopra o-<lb/>gni altra città del mondo vaga, e dilettoſa, aven-<lb/>dola la natura di tanto ornata, che pare non a-<lb/>ver voluto, che vi ſi doveſſe gran fatto deſiderar <lb/>l’ arte, tuttavia niuna altra coſa maggiormen-<lb/>te mi piacque, che le belle, e gentili manie-<lb/>re degli abitanti, de’ quali trovai toſto al-<lb/>cuni di così raro ingegno, e di tanto alta <lb/>ſcienza, oltre la corteſia e la gentilezza, for-<lb/>niti, che mi parvero poter da ſe ſoli far belliſſima <lb/>quella maraviglioſa città, quand’ anche tutti gli al. </s>
  <s xml:id="echoid-s228" xml:space="preserve"><lb/>tri ornamenti le f<unsure/>oſſer mancati. </s>
  <s xml:id="echoid-s229" xml:space="preserve">Uno di queſti ſi fù <lb/>il Signor D. </s>
  <s xml:id="echoid-s230" xml:space="preserve">Franceſco Serao, che tanto vale in <lb/>filoſoſia, e in medicina, quanto voi ſapete; </s>
  <s xml:id="echoid-s231" xml:space="preserve">in <lb/>eloquenza poi, e in ogni bell’ arte, quanto non <lb/>può ne ſapere ne immaginarſi chiunque non l’ <lb/>abbia conoſciuto, e familiarmente trattato; </s>
  <s xml:id="echoid-s232" xml:space="preserve">im-<lb/>perocchè ſcrive egli nell’ una, e nell’ altra lin-<lb/>gua tanto eccellentemente, che può con gli an-<lb/>tichi paragonarſi; </s>
  <s xml:id="echoid-s233" xml:space="preserve">e certo io il direi il maggio-<lb/>re, e il più ornato medico, e filoſoſo de no-<lb/>ſtri dì, ſe di voi non mi ricordaſſi. </s>
  <s xml:id="echoid-s234" xml:space="preserve">Eravi an-<lb/>che il Signor D. </s>
  <s xml:id="echoid-s235" xml:space="preserve">Nicola di Martino, lume chia-<lb/>riſſimo della Italia, a cui niente manca di ciò,
<pb o="6" file="0030" n="30" rhead="DELLA FORZA DE’ CORPI"/>
che a grandiſſimo, e ſommo filoſoſo ſi richie-<lb/>de, eſſendo nella geometria, e nelle altre ma-<lb/>tematiche ſcienze tanto valoroſo, che appena che <lb/>alcuno poſſa eſſergli in queſta laude uguale; </s>
  <s xml:id="echoid-s236" xml:space="preserve">et <lb/>io dubitai molto ſe alcuno poteſſe eſſergli ſupe <lb/>riore. </s>
  <s xml:id="echoid-s237" xml:space="preserve">A queſti due aggiungevaſi il Signor D. <lb/></s>
  <s xml:id="echoid-s238" xml:space="preserve">Felice Sabatelli, che io avea già conoſciuto in <lb/>Bologna, quando egli, eſſendo ancor giovane, <lb/>dava opera all’ aſtronomì<unsure/>a, e fin d’ allora mo-<lb/>veva di ſe una grandiſſima eſpettazione, la qua-<lb/>le egli ha poi di gran lunga ſuperata. </s>
  <s xml:id="echoid-s239" xml:space="preserve">Fra que-<lb/>ſti ebbi anche il piacer di conoſcere il Signor <lb/>Marcheſe di Campo Hermoſo, giovane grazio-<lb/>ſiſſimo, e di maraviglioſo ingegno, il quale era <lb/>venuto allor di Palermo per veder la Corte, et <lb/>aveva ſtudiato due anni filoſofiæ in quella cit-<lb/>tà, avendone appreſo i principj in Alcalà; </s>
  <s xml:id="echoid-s240" xml:space="preserve">et <lb/>era intentiſſimo alla geometria, et all’ algebra, <lb/>delle quali ſapea ſopra l’ età ſua. </s>
  <s xml:id="echoid-s241" xml:space="preserve">Nè men dì <lb/>lui, ne con minor lode eſercitavaſi ne medeſi-<lb/>mi ſtudj il Signor Conte della Cueva, che qui-<lb/>vi pur conobbi; </s>
  <s xml:id="echoid-s242" xml:space="preserve">e tanto era l’ ingegno, che di-<lb/>moſtravano queſti due giovani, che pareva niuna <lb/>coſa eſſere così grande, che non doveſſe da loro <lb/>aſpettarſi. </s>
  <s xml:id="echoid-s243" xml:space="preserve">Et è grandemente da deſiderare che <lb/>l’ uno dall’ eſempio del padre, e l’ altro da <lb/>quel de i fratelli valoroſiſſimi in arme, non ven-<lb/>gano diſtolti dagli ſtudj per vaghezza di una <lb/>gloria più faticoſa: </s>
  <s xml:id="echoid-s244" xml:space="preserve">che certamente dovranno le <lb/>ſcienze trar da eſſi grandiſſimo lume, ſe il de-
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ſiderio della guerra laſcierà loro ſoffrir l’ ozio <lb/>delle lettere. </s>
  <s xml:id="echoid-s245" xml:space="preserve">Io tralaſcio di nominar molti al-<lb/>tri, che troppo lungo ſarebbe. </s>
  <s xml:id="echoid-s246" xml:space="preserve">Sol vi dirò, che <lb/>io vidi quella famoſa, e gentile raccoglitrice di <lb/>tutti i più nobili, e leggiadri ingegni, voglio <lb/>dire la Signora Donna Fauſtina Pignatelli Prin-<lb/>cipeſſa di Colobrano, delle cui lodi io non <lb/>prenderei a dire, ſe non ſe quando mi aveſſi <lb/>propoſto di non parlar più d’ altro; </s>
  <s xml:id="echoid-s247" xml:space="preserve">che trop-<lb/>po duro mi ſarebbe dover finir di lodarla, aven-<lb/>do cominciato, e paſſar ad altro argomento; <lb/></s>
  <s xml:id="echoid-s248" xml:space="preserve">ne temerò d’ eſſer ripreſo di ciò, ch’ io dico, da <lb/>chiunque l’ abbia conoſciuta. </s>
  <s xml:id="echoid-s249" xml:space="preserve">Che di vero quan-<lb/>ti ornamenti può aggiungere alla bellezza et al-<lb/>la grazia un ſublimiſſimo ſpirito et una rara <lb/>intelligenza di tutte le coſe, eziandio più ſotti-<lb/>li, e recondite, accompagnata da ſomma chia-<lb/>rezza, e da un grazioſiſſimo modo di dirle ed <lb/>eſporle, tutti in lei ſono maraviglioſamente rac-<lb/>colti, ſenza che poſſa diſtinguerſi, qual di lo-<lb/>ro maggiormente riſplenda. </s>
  <s xml:id="echoid-s250" xml:space="preserve">De quali io non <lb/>poſſo giammai ricordarmi ſenza che mi tornino <lb/>inſieme alla memoria la corteſia, l’ affabilità, <lb/>la piacevolezza, ed una ſingolare ſoavità di ma-<lb/>niere e di coſtumi, che ella congiunge con tan-<lb/>to ſenno e gravità, che ben ſi moſtra anche nel-<lb/>le facezie, e nei motti eſſer Signora grandiſſima; </s>
  <s xml:id="echoid-s251" xml:space="preserve"><lb/>ne è coſa che ella faccia, cui non ſeguano, <lb/>come fedeli compagne, la giocondità, e la gra-<lb/>zia. </s>
  <s xml:id="echoid-s252" xml:space="preserve">Il percbè io mi eſtimo fortunatiſſimo di eſ-
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ſere ſtato preſſo una tal Signora alcun giorno; <lb/></s>
  <s xml:id="echoid-s253" xml:space="preserve">e mi parrebbono infeliciſſimi tutti quelli, che <lb/>mai non l’ hanno veduta, ſe, non avendola mai <lb/>veduta, poteſſero immaginarſi tanta virtù. </s>
  <s xml:id="echoid-s254" xml:space="preserve">Que-<lb/>ſta Signora adunque per mia ſomma ventura io <lb/>vidi in Napoli; </s>
  <s xml:id="echoid-s255" xml:space="preserve">e quando con uno, e quando <lb/>con un’ altro di quei Signori, che ſopra hò <lb/>nominati, la viſitava il più ſpeſſo che io pote-<lb/>va. </s>
  <s xml:id="echoid-s256" xml:space="preserve">Quivi erano quaſi ſempre Uomini dottiſſi-<lb/>mi, che di giocondi ragionamenti ſi intertene-<lb/>vano, e bene ſpeſſo naſcevano belliſſime quiſtio-<lb/>ni d’ ogni maniera, diſputandoſi per l’ una, e <lb/>per l’ altra parte con ſomma piacevolezza; </s>
  <s xml:id="echoid-s257" xml:space="preserve">alle <lb/>quali dava per lo più incitamento la Signora <lb/>Principeſſa ora interrogando, et ora riſponden-<lb/>do; </s>
  <s xml:id="echoid-s258" xml:space="preserve">e queſto faceva Ella ſempre con ſommo giu-<lb/>dizio, et accorgimento, avendo riſpetto alle per-<lb/>ſone, e con poche parole; </s>
  <s xml:id="echoid-s259" xml:space="preserve">perciocchè ella ama-<lb/>va meglio di udire, che di eſſere udita; </s>
  <s xml:id="echoid-s260" xml:space="preserve">nella <lb/>qual coſa ſola noi le eravamo tutti contrarj; </s>
  <s xml:id="echoid-s261" xml:space="preserve"><lb/>perciocchè non era alcun di noi, che non ſi <lb/>foſſe volentieri tacciuto per udir lei; </s>
  <s xml:id="echoid-s262" xml:space="preserve">ma faccen-<lb/>do del ſuo piacere il noſtro, ſeguivamo gli ar-<lb/>gomenti da lei propoſti, ſopra de quali ognuno <lb/>diceva il parer ſuo, e tutti, fuori me ſolo, <lb/>con ſomma eloquenza, e ſomma grazia; </s>
  <s xml:id="echoid-s263" xml:space="preserve">così <lb/>che mi pareva eſſer beato, eſſendo in quella dol-<lb/>ce, e cara compagnia; </s>
  <s xml:id="echoid-s264" xml:space="preserve">et ora che la fortuna <lb/>me ne ha di tanto ſpazio allontanato, non mi <lb/>par di vivere, ſe non quanto vi torno con la
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memoria. </s>
  <s xml:id="echoid-s265" xml:space="preserve">E queſto è ſtato quello, che princi-<lb/>palmente mi ha moſſo a ſcrivere queſti ragiona-<lb/>menti, perchè ſcrivendogli mi è paruto in cer-<lb/>to modo di ritornare trà quei valoroſi Uomini, <lb/>et eſſere tuttavia con loro; </s>
  <s xml:id="echoid-s266" xml:space="preserve">et anche ho voluto, <lb/>quanto per me ſi poteſſe, eſſer con eſſi congiun-<lb/>to nella memoria di quelli, che leggeranno que-<lb/>ſta mia operetta, ſe alcuno la leggerà. </s>
  <s xml:id="echoid-s267" xml:space="preserve">Sappia-<lb/>te dunque che avendo il Re diliberato un gior-<lb/>no di andare a Baja inſieme con la Reina per <lb/>godere l’ amenità di quei delizioſiſſimi luoghi, <lb/>la Signora Principeſſa propoſe di voler’ eſſere il <lb/>dì davanti verſo la ſera a Pozzuolo, per ritro-<lb/>varſi poi il giorno appreſſo con la Reina; </s>
  <s xml:id="echoid-s268" xml:space="preserve">e do-<lb/>veva in quel cammino accompagnari<unsure/>a il Signor D. <lb/></s>
  <s xml:id="echoid-s269" xml:space="preserve">Franceſco Serao. </s>
  <s xml:id="echoid-s270" xml:space="preserve">Il che eſſendoſi per molti inte-<lb/>ſo, avviſammo il Signor Marcheſe di Campo Her-<lb/>moſo ed io, ſenza farne motto, di portarci la <lb/>mattina vegnente di buoniſſima ora a Pozzuolo, <lb/>e quivi aſpettarla; </s>
  <s xml:id="echoid-s271" xml:space="preserve">dove pure propoſero di ve-<lb/>nire verſo l’ ora del mezzo giorno il Signor D. </s>
  <s xml:id="echoid-s272" xml:space="preserve"><lb/>Nicola di Martino, e il Signor Conte della Cue-<lb/>va. </s>
  <s xml:id="echoid-s273" xml:space="preserve">La mattina dunque cominciando appena a <lb/>roſſeggiare il Cielo per la ſorgente aurora, il <lb/>Signor Marcheſe di Campo Hermoſo, ed’ io n’ <lb/>andammo a Pozzuolo, dove con gran feſta rice-<lb/>vuti fummo dal Governator di quel luogo, uo-<lb/>mo de più gentili, che io abbia veduto mai; </s>
  <s xml:id="echoid-s274" xml:space="preserve">il <lb/>qual condottici in ſua caſa ci fece vedere molte <lb/>elegantiſſime pitture, et una gran quantità di bel-
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liſſimi libri, che egli avea raunati, di ogni ge-<lb/>nere, e ſceltiſſimi. </s>
  <s xml:id="echoid-s275" xml:space="preserve">Dimorati quivi alquanto, et <lb/>avviſando, che il Governatore doveſſe aver ſue <lb/>faccende, preſa licenza, uſcimmo fuori a paſſeg-<lb/>giar così pian piano lungo la marina; </s>
  <s xml:id="echoid-s276" xml:space="preserve">dove paſ-<lb/>ſando col ragionamento d’ una in altra coſa, che <lb/>vi par, diſſe il Signor Marcheſe, di queſti luo-<lb/>ghi? </s>
  <s xml:id="echoid-s277" xml:space="preserve">non vi par’ egli, che queſti colli ameniſſi-<lb/>mi, e pieni di belliſſimi boſchetti, riguardanti <lb/>ſopra il mare, ſieno la più bella coſa del mon-<lb/>do? </s>
  <s xml:id="echoid-s278" xml:space="preserve">A me pur così pajono, riſpoſi io allora; </s>
  <s xml:id="echoid-s279" xml:space="preserve">tut-<lb/>tavolta io veggo altro, che più ancora mi piace, <lb/>e che voi forſe non vedete. </s>
  <s xml:id="echoid-s280" xml:space="preserve">Queſto che è? </s>
  <s xml:id="echoid-s281" xml:space="preserve">diſſe <lb/>il Signor Marcheſe, et io riſpoſi: </s>
  <s xml:id="echoid-s282" xml:space="preserve">la memoria di <lb/>quegli antichi ſapientiſſimi filoſofi, che abitaro-<lb/>no un tempo quell’ ultima parte d’ Italia, che <lb/>chiamavaſi magna Grecia; </s>
  <s xml:id="echoid-s283" xml:space="preserve">i quali eſſendo non <lb/>guari di quì lontani, tratti dalla maraviglioſa bel-<lb/>lezza del luogo, parmi che doveſſero venir tal-<lb/>volta anch’ eſſi a Pozzuolo, e paſſeggiarvi, ſicco-<lb/>me noi ora facciamo. </s>
  <s xml:id="echoid-s284" xml:space="preserve">E così mi ſta fiſſa nell’ ani-<lb/>mo una tal rimembranza, e tanto mi piace, che, <lb/>non ſo come, dovunque io mi volga, par che <lb/>gli occhi miei cerchino Talete, e Pitagora, e que-<lb/>gli altri divini maeſtri. </s>
  <s xml:id="echoid-s285" xml:space="preserve">Et io credo, diſſe allora <lb/>ſorridendo il Signor Marcheſe, che ancor Talete <lb/>e Pitagora avrebbono volentieri cercato voi, ſe <lb/>come voi, riſalendo indietro con la memoria ne <lb/>tempi<unsure/> paſſati, potete quei lor paſſeggi immaginar-<lb/>vi; </s>
  <s xml:id="echoid-s286" xml:space="preserve">così aveſſero potuto eſſi, diſcendendo con l’
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animo nell’ avvenire, immaginarſi il noſtro; </s>
  <s xml:id="echoid-s287" xml:space="preserve">e <lb/>tanto più avrebbono eſſi diſiderato di veder voi, <lb/>per intender da voi di quanto ſiaſi quella loro fi-<lb/>loſofia per opera de voſtri moderni accreſciuta; <lb/></s>
  <s xml:id="echoid-s288" xml:space="preserve">perchè parmi di avere udito, che coteſti moderni <lb/>van pur dicendo, tutta la maniera del filoſofar <lb/>loro eſſere derivata dai puriſſimi fonti di Pitago-<lb/>ra; </s>
  <s xml:id="echoid-s289" xml:space="preserve">non ſo ſe per far’ onta ad Ariſtotele; </s>
  <s xml:id="echoid-s290" xml:space="preserve">ma pur <lb/>così dicono; </s>
  <s xml:id="echoid-s291" xml:space="preserve">e non vogliono dover nulla, ſe non <lb/>a quella antica italica ſcuola; </s>
  <s xml:id="echoid-s292" xml:space="preserve">benchè pretendono <lb/>di ſaperne molto più. </s>
  <s xml:id="echoid-s293" xml:space="preserve">Della qual pretenſione, o <lb/>giuſta, o ingiuſta, che credete voi? </s>
  <s xml:id="echoid-s294" xml:space="preserve">Io credo, <lb/>diſſi, Signor Marcheſe, che in molte coſe i mo-<lb/>derni ſappian più innanzi, che quegli antichi non <lb/>ſeppero; </s>
  <s xml:id="echoid-s295" xml:space="preserve">e credo, che in tutte quegli antichi ſa-<lb/>peſſero molto più, che noi non crediamo; </s>
  <s xml:id="echoid-s296" xml:space="preserve">ma <lb/>poſſono facilmente i moderni producendo le loro <lb/>opere chiamare a conteſa gli antichi, che non <lb/>poſſono produr le loro, avendole il tempo guaſte, <lb/>e la maggior parte involate. </s>
  <s xml:id="echoid-s297" xml:space="preserve">Che ſe ci reſtaſſero <lb/>tutte ed intere, chi ſa di quante nobiliſſime co-<lb/>gnizioni le troveremmo piene, e quante quiſtio-<lb/>ni ſi vedrebbono eſſere antichiſſime, che ora ſi <lb/>credon nuove, e per ciò forſe ſi credon nuove, <lb/>perchè ſon tanto antiche, che il tempo ha potu-<lb/>to cancellarne fin la memoria. </s>
  <s xml:id="echoid-s298" xml:space="preserve">Potrebbe dunque, <lb/>diſſe allora il Signor Marcheſe, quella così fa-<lb/>moſa quiſtione ſopra la forza viva de’ corpi, di <lb/>cui ſi fà ora tanto rumore nelle accademie e nel-<lb/>le ſcuole, eſſere ſtata una volta tratta ta da Pita-
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gora, et avendola poſcia il tempo ſeppellita nell’ <lb/>oblivione, eſſer riſorta in Leibnizio. </s>
  <s xml:id="echoid-s299" xml:space="preserve">Io non <lb/>ſo, riſpoſi; </s>
  <s xml:id="echoid-s300" xml:space="preserve">ben mi piace che voi tocchia-<lb/>te ora una quiſtion nobiliſſima, e da chiariſ-<lb/>ſimi, e ſottiliſſimi ingegni per tanto tempo agi-<lb/>tata; </s>
  <s xml:id="echoid-s301" xml:space="preserve">la qual non tocchereſte, ſe non l’ aveſte <lb/>apparata. </s>
  <s xml:id="echoid-s302" xml:space="preserve">Anzi non ne ſo io nulla, diſſe il Signor <lb/>Marcheſe; </s>
  <s xml:id="echoid-s303" xml:space="preserve">e piacerebbemi, che Pitagora non ne <lb/>aveſſe ſaputo nulla egli pure; </s>
  <s xml:id="echoid-s304" xml:space="preserve">che così ſarei Pi-<lb/>tagorico almeno in queſto. </s>
  <s xml:id="echoid-s305" xml:space="preserve">Ma fuori le burle, io <lb/>mi ricordo, che eſſendo in Malega, venutovi da <lb/>Ceuta, dove io avea accompagnato mio padre, <lb/>che era paſſato a quella guerra contro Mori, tro-<lb/>vai quivi un ingegnere molto dotto, il quale <lb/>per alquanti meſi mi ſpiegò geometria e meccani-<lb/>ca, e mi parlò più volte della quiſtione della for-<lb/>za viva; </s>
  <s xml:id="echoid-s306" xml:space="preserve">e tanto era Leibniziano, che ſi maravi-<lb/>gli<unsure/>ava, che poteſſe alcuno non eſſerlo. </s>
  <s xml:id="echoid-s307" xml:space="preserve">Ultima-<lb/>mente ne ho udito diſputar’ aſſai il Signor D. </s>
  <s xml:id="echoid-s308" xml:space="preserve">Lui-<lb/>gi Capece in Palermo; </s>
  <s xml:id="echoid-s309" xml:space="preserve">il quale mi fece anche leg-<lb/>gere quello, che voi ne avete ſpiegato ne Comen-<lb/>tarj della voſtra accademia, inſieme con altri <lb/>ſcritti, i quali però poterono invogliarmi più <lb/>toſto della quiſtione, che inſegnarlami; </s>
  <s xml:id="echoid-s310" xml:space="preserve">et egli <lb/>ſteſſo ſi doleva, che voi non foſte abbaſtanza Car-<lb/>teſiano, e diſiderava talvolta di intender meglio, <lb/>qual foſſe la voſtra vera opinione. </s>
  <s xml:id="echoid-s311" xml:space="preserve">Chi ſa, diſſi <lb/>io allora, ſe io ne ho alcuna vera? </s>
  <s xml:id="echoid-s312" xml:space="preserve">ma pure che <lb/>è a lui et a voi di ſapere, qual ſia la mia opinio-<lb/>ne? </s>
  <s xml:id="echoid-s313" xml:space="preserve">egli baſta bene, che eſaminando le ragioni
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propoſte per l’ una e per l’ altra parte, ne rica-<lb/>viate voi per voi ſteſſo quella opinione, che più <lb/>vi piaccia, e ſia più degna di piacervi. </s>
  <s xml:id="echoid-s314" xml:space="preserve">Al che <lb/>fare non ſolamente vi invito e vi eſorto, ma an-<lb/>che vi prego, e ve ne ſtringo; </s>
  <s xml:id="echoid-s315" xml:space="preserve">parendomi che la <lb/>quiſtione ſia tanto ſottile in ſe ſteſſa ed avvolta, <lb/>e per la fama di quelli, che la trattarono, tanto <lb/>illuſtre, e magnifica, che ben meriti, anzi deſi-<lb/>deri, e chiegga lo ſtudio e l’ ingegno voſtro. </s>
  <s xml:id="echoid-s316" xml:space="preserve">Non <lb/>ſo io già, riſpoſe il Signor Marcheſe, quello che <lb/>la quiſtione poſſa richiedere o aſpettare dall’ in-<lb/>gegno mio; </s>
  <s xml:id="echoid-s317" xml:space="preserve">ſo bene, che io ho deſiderato ſempre <lb/>grandiſſimamente di ſaperla; </s>
  <s xml:id="echoid-s318" xml:space="preserve">e ſarei forſe in eſſa <lb/>proceduto più innanzi, ſeguendo la ſcorta de li-<lb/>bri propoſtimi dal Signor D. </s>
  <s xml:id="echoid-s319" xml:space="preserve">Luigi Capece, ſe <lb/>non mi ſoſſi incontrato troppo ſpeſſo in ſuppu-<lb/>tazioni algebrai<unsure/>che faticoſiſſime, le quali a dir ve-<lb/>ro mi ſpaventano; </s>
  <s xml:id="echoid-s320" xml:space="preserve">non che io fuggiſſi la fatica <lb/>del farle; </s>
  <s xml:id="echoid-s321" xml:space="preserve">ma per lo poco uſo, che io vi ho, <lb/>temo ſempre di farle inutilmente, e di incorre-<lb/>re in alcuno di quegli errori, che quantunque <lb/>in ſe ſteſſi piccioliſſimi, guaſtano ogni coſa, e <lb/>divengono in tutta la ſupputazione grandiſſimi. <lb/></s>
  <s xml:id="echoid-s322" xml:space="preserve">Se voi, diſſi io allora, temete tanto cotali erro-<lb/>ri, ſarà difficile che vi incorriate, perchè il ti-<lb/>more in tutte le coſe rende l’ uomo più dili-<lb/>gente; </s>
  <s xml:id="echoid-s323" xml:space="preserve">e ſiccome niuno può riprendervi del non <lb/>aver voi molto uſo di calcolare, perciocchè l’ età <lb/>voſtra, e gli altri voſtri ſtudj non vel comportano, <lb/>così dovrà ognuno ſommamente commendar-
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vi, ſe vorrete por dili<unsure/>genza a conſeguirlo. </s>
  <s xml:id="echoid-s324" xml:space="preserve">Seb-<lb/>bene quanto alla quiſtione della forza viva io <lb/>ſon d’ opinione, che voi temiate le ſupputazio-<lb/>ni algebraiche più forſe che non biſogna; </s>
  <s xml:id="echoid-s325" xml:space="preserve">per-<lb/>ciocchè n’ ha molte, le quali ſi avvolgono in-<lb/>torno a certi argomenti, che per poca attenzio-<lb/>ne, che vi ſi ponga, poſſono facilmente ſvolger-<lb/>ſi, e così ſciolti, e ſviluppati d’ ogni calcolo, <lb/>moſtrano egualmente, ſe non anche meglio, la <lb/>forza, e bellezza loro; </s>
  <s xml:id="echoid-s326" xml:space="preserve">ma gli algebri ſti voglio-<lb/>no veſtir d’ algebra ogni coſa. </s>
  <s xml:id="echoid-s327" xml:space="preserve">La maggior <lb/>parte poi delle ſupputazioni non ricerca molto <lb/>eſame, perciocchè rade volte vengono in con-<lb/>troverſia quelle conſeguenze, che ſi commettono <lb/>al calcolo, e per lo più ſol ſi dubita di quegli <lb/>antecedenti, onde il calcolo deriva; </s>
  <s xml:id="echoid-s328" xml:space="preserve">i quali ſe <lb/>vi parranno falſi, potete diſprezzare il calcolo; <lb/></s>
  <s xml:id="echoid-s329" xml:space="preserve">e ſe vi parranno veri, potete fidarvene, e con-<lb/>tentarvi della diligenza, che altri in calcolare <lb/>hanno poſta; </s>
  <s xml:id="echoid-s330" xml:space="preserve">come un gran Signore, il qual <lb/>contento di aver veduto i capi di ci<unsure/>ò, che dar <lb/>dee et avere, quanto al calcolarne le ſomme s’ <lb/>affida al computiſta. </s>
  <s xml:id="echoid-s331" xml:space="preserve">Ne dico io ciò per diſto-<lb/>gliervi da queſte ſupputazioni; </s>
  <s xml:id="echoid-s332" xml:space="preserve">che è ben fatto <lb/>il farle; </s>
  <s xml:id="echoid-s333" xml:space="preserve">ma perchè quelle ſupputazioni non di-<lb/>ſtolgano voi dalla quiſtione. </s>
  <s xml:id="echoid-s334" xml:space="preserve">Se queſto è, che <lb/>voi dite, diſſe allora il Signor Marcheſe, e ſe <lb/>l’ andar dietro a tutti quei lunghi calcoli non <lb/>è così neceſſario; </s>
  <s xml:id="echoid-s335" xml:space="preserve">perchè non potremmo noi qui <lb/>ora entrare nella quiſtione, ſpiegandomi voi, che
<pb o="15" file="0039" n="39" rhead="LIBRO I."/>
coſa ſia quella, che chiamano forza viva de cor-<lb/>pi, e dichiarandomi l’ opinion voſtra? </s>
  <s xml:id="echoid-s336" xml:space="preserve">Noi ſia-<lb/>mo in luogo, in cui ci è lecito di eſſere ozio-<lb/>ſi quanto vogliamo, ſenza temere, che alcuno <lb/>ci diſtorni; </s>
  <s xml:id="echoid-s337" xml:space="preserve">e voi già la ricordanza di Pitago-<lb/>ra invita a filoſofare, il che non potete far me-<lb/>glio che in queſta quiſtione, ſe ella è così no-<lb/>bile, come voi<unsure/> dite. </s>
  <s xml:id="echoid-s338" xml:space="preserve">Allo ſteſſo ragionamento, <lb/>riſpoſi io allora, mi ha incitato più volte la Si-<lb/>gnora Principeſſa; </s>
  <s xml:id="echoid-s339" xml:space="preserve">con la quale però io non hò, <lb/>mai voluto entrare in tal materia, temendo ſem-<lb/>pre di non potere ſoddisfare ad altri in un’ ar-<lb/>gomento, in cui poſſo appena ſoddisfare a me <lb/>medeſimo. </s>
  <s xml:id="echoid-s340" xml:space="preserve">E tal ragione valendomi pur anche <lb/>ora, parmi di aver fatto abbaſtanza, avendovi <lb/>eccita@o a veder per voi ſteſſo la quiſtione; </s>
  <s xml:id="echoid-s341" xml:space="preserve">ne <lb/>altro abbiſogna all’ ingegno voſtro. </s>
  <s xml:id="echoid-s342" xml:space="preserve">lo non cre-<lb/>deva, diſſe allora il Signor Marcheſe, che aven-<lb/>domi voi invitato ad una ſi celebre controverſia, <lb/>foſte poi così duro, ehe non voleſte moſtrarmene <lb/>almen l’ ingreſſo, aprendomi, ſe non altro, la <lb/>diffinizion della coſa, di cui ſi diſputa; </s>
  <s xml:id="echoid-s343" xml:space="preserve">che que-<lb/>ſto è per così dire invitarmi in caſa, e tener tut-<lb/>tavia l’ uſcio chiuſo Che diremo noi, riſpoſi io <lb/>allora, alla Signora Principeſſa, che non ha mai <lb/>potuto trarmi in una tal controverſia? </s>
  <s xml:id="echoid-s344" xml:space="preserve">nella qua-<lb/>le ſe io entraſſi ora, temerei di offenderla, ne ſa-<lb/>prei cui dare la colpa del mio errore. </s>
  <s xml:id="echoid-s345" xml:space="preserve">Allora il <lb/>Signor Marcheſe, ne daremo, diſſe, la colpa a <lb/>Pitagora, che vi ha invitato a filoſofare; </s>
  <s xml:id="echoid-s346" xml:space="preserve">e ſo
<pb o="16" file="0040" n="40" rhead="DELLA FORZA DE’ CORPI"/>
certo, che ella in grazia di tanto uomo vi per-<lb/>donerà. </s>
  <s xml:id="echoid-s347" xml:space="preserve">Oltre che ſpiegandomi voi la diffini-<lb/>zione della forza viva, non ſarà già queſto un’ <lb/>entrare nella quiſtione; </s>
  <s xml:id="echoid-s348" xml:space="preserve">e ſe tratti<unsure/>vi poi dal di-<lb/>ſcorſo pur vientreremo, la colpa ſarà della diffini-<lb/>zione ſteſſa, che vi ci avrà condotti, non voſtra. <lb/></s>
  <s xml:id="echoid-s349" xml:space="preserve">Allora ſorridendo, e non ſapete voi, di<unsure/>ſſi, che <lb/>la di<unsure/>ſſinizione della forza viva è una quiſtione <lb/>eſſa pure? </s>
  <s xml:id="echoid-s350" xml:space="preserve">perciocchè alcuni la diffiniſcono di <lb/>un modo, et altri di un’ altro, et ha in ciò una <lb/>ſomma varietà et incoſtanza? </s>
  <s xml:id="echoid-s351" xml:space="preserve">E tal varietà anco-<lb/>ra, diſſe il Signor Marcheſe, mi ha ſempre gran-<lb/>demente ſpaventato; </s>
  <s xml:id="echoid-s352" xml:space="preserve">parendomi quaſi impoſſibi-<lb/>le, che io doveſſi intendere una quiſtione, nella <lb/>quale quegl’ iſteſſi, che diſputano, ſeguendo <lb/>gli uni una diffinizione, gli altri un’ altra, non <lb/>poſſono quaſi intenderſi tra loro. </s>
  <s xml:id="echoid-s353" xml:space="preserve">Anzi per que-<lb/>ſto, diſſi io allora, m’ è ſempre paruto, che la <lb/>quiſtione doveſſe eſſer più facile; </s>
  <s xml:id="echoid-s354" xml:space="preserve">perchè ſe noi <lb/>riceveremo da ciaſcuno ſenza contraſto la <lb/>diffinizione, ch’ ei ci propone, e ſaremo conten-<lb/>ti di nominar per allora forza viva quello, che <lb/>a lui è piacciuto di così nominare, noi trovere-<lb/>mo bene ſpeſſo, che le ragioni dell’ uno non ſo-<lb/>no tanto contrarie alle ragioni dell’ altro, ben-<lb/>chè da prima pareſſero contrariiſſime, e molte vol-<lb/>te le troveremo concordi in quello, in che pare-<lb/>vano maggiormente diſcordare; </s>
  <s xml:id="echoid-s355" xml:space="preserve">reſtando poi ſolo <lb/>da vedere, qual ſia quello, che abbia meglio dif-<lb/>finita la forza viva, e inteſo per un tal nome
<pb o="17" file="0041" n="41" rhead="LIBRO I."/>
quello che dovea intenderſi, la qual quiſtione è <lb/>poi più facile. </s>
  <s xml:id="echoid-s356" xml:space="preserve">E ſeguendo voi un tal ordine, <lb/>troverete anche alcuni<unsure/>, ſecondo la di<unsure/>ffinizion de <lb/>quali tutta la controverſia della forza viva è tan-<lb/>to ſpedita, e breve, che nulla più. </s>
  <s xml:id="echoid-s357" xml:space="preserve">lo vorrei ſen-<lb/>tire, diſſe il Signor Marcheſe, queſta diffinizio-<lb/>ne così comoda. </s>
  <s xml:id="echoid-s358" xml:space="preserve">Eccovi; </s>
  <s xml:id="echoid-s359" xml:space="preserve">riſpoſi io allora: </s>
  <s xml:id="echoid-s360" xml:space="preserve">ſono <lb/>alcuni, i quali così definiſcono la forza viva, <lb/>che per eſſa non altro vogli<unsure/>ono, che debba in-<lb/>tenderſi, ſe non una potenza o forza, o qualità, <lb/>o virtù, comunque chiamar ſi voglia, la qual pro-<lb/>duce ne corpi il movimento; </s>
  <s xml:id="echoid-s361" xml:space="preserve">e queſti levano via <lb/>la quiſtione così preſto, che quaſi non le laſcia-<lb/>no tempo di comparire. </s>
  <s xml:id="echoid-s362" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s363" xml:space="preserve">di<unsure/>ſſe il Signor <lb/>Marcheſe. </s>
  <s xml:id="echoid-s364" xml:space="preserve">Non è ella, ripigliai io, tutta la qui-<lb/>ſtione intorno alla forza viva poſta in queſto, che <lb/>alcuni per miſurar giuſtamente una tal forza, vo-<lb/>gliono, che ſi moltiplichi la velocità del corpo per <lb/>tutte le parti della materia, che compone eſſo corpo, <lb/>cui chiamano maſſa, e penſano, che il prodotto <lb/>di una tal molti<unsure/>plicazione ſia la giuſta mi<unsure/>ſura del-<lb/>la forza viva; </s>
  <s xml:id="echoid-s365" xml:space="preserve">ed altri vogli<unsure/>ono, che ad aver tal <lb/>mi<unsure/>ſura non la velocità, ma il quadrato di eſſa, s’ <lb/>abbia a moltiplicar per la maſſa? </s>
  <s xml:id="echoid-s366" xml:space="preserve">così che ſe la <lb/>maſſa del corpo, che ſi move, ſarà 2. </s>
  <s xml:id="echoid-s367" xml:space="preserve">la veloci-<lb/>tà 3, quelli eſtimeranno la forza viva eſſer 6, per-<lb/>ciocchè molti<unsure/>plicando 3 per 2 ſi produce 6, e <lb/>queſti altri la ſtimeranno eſſere 18, perciocchè fac-<lb/>cendo il quadrato della velocità 3. </s>
  <s xml:id="echoid-s368" xml:space="preserve">ne vien 9, <lb/>e 9 moltiplicato per 2 fa 18. </s>
  <s xml:id="echoid-s369" xml:space="preserve">A queſto parmi,
<pb o="18" file="0042" n="42" rhead="DELLA FORZA DE’ CORPI"/>
che ſi riduca la quiſtion tutta. </s>
  <s xml:id="echoid-s370" xml:space="preserve">Così è, diſſe il <lb/>Signor Marcheſe. </s>
  <s xml:id="echoid-s371" xml:space="preserve">Ora, ſoggiunſi io, ſe la forza <lb/>viva altro non è, che quella potenza, la qual <lb/>produce ne corpi il movi<unsure/>mento, chi è, che non <lb/>vegga eſſer lei la cagione del movimento, e il mo-<lb/>vimento l’ effetto di lei? </s>
  <s xml:id="echoid-s372" xml:space="preserve">poichè dunque la cagio-<lb/>ne è fempre eguale all’ effetto, e perciò poſſono <lb/>mifurarſi amendue con una ſteſſa miſura, ne vie-<lb/>ne che la forza viva, che è la cagione del movi-<lb/>mento, debba mi<unsure/>ſurarſt moltiplicando la veloci-<lb/>tà per la maſſa; </s>
  <s xml:id="echoid-s373" xml:space="preserve">poichè chi è, che non miſuri <lb/>il movimento per tal modo? </s>
  <s xml:id="echoid-s374" xml:space="preserve">Tutto ciò mi par <lb/>chiaro, di<unsure/>ſſe allora il Signor Marcheſe, ſe non <lb/>che io trovo una certa nebbia di oſcurità in un luo-<lb/>go; </s>
  <s xml:id="echoid-s375" xml:space="preserve">et è, dove di<unsure/>te, che la cagione è ſempre e-<lb/>guale all’ effetto. </s>
  <s xml:id="echoid-s376" xml:space="preserve">Il di<unsure/>pintore fa una pittura, et <lb/>è cagione di eſſa. </s>
  <s xml:id="echoid-s377" xml:space="preserve">Diremo noi, che egli ſia egua-<lb/>le alla pittura, che fa? </s>
  <s xml:id="echoid-s378" xml:space="preserve">Io vorrei dunque ſapere, <lb/>di qual modo ciò debba intenderſi. </s>
  <s xml:id="echoid-s379" xml:space="preserve">Allora ſopra-<lb/>ſtetti alquanto, poi ripigliai. </s>
  <s xml:id="echoid-s380" xml:space="preserve">La cagione non è, <lb/>ne ſi chiama cagione, ſe non in quanto agiſce, <lb/>et agendo produce l’ effetto; </s>
  <s xml:id="echoid-s381" xml:space="preserve">ne altro quì ora <lb/>nella cagion ſi conſidera, ſe non tale azione; </s>
  <s xml:id="echoid-s382" xml:space="preserve">la <lb/>quale azi<unsure/>one egualmente appartiene e alla cagio-<lb/>ne da cui procede, e all’ effetto, in cui ſi termi-<lb/>na; </s>
  <s xml:id="echoid-s383" xml:space="preserve">ſebbene in quanto appartiene all’ effetto, an-<lb/>zi paſſione, che azione ſuol da filoſoſi nomi-<lb/>narſi. </s>
  <s xml:id="echoid-s384" xml:space="preserve">Ora queſta azione procedente dalla cauſa, <lb/>ſi dice eſſere ſempre eguale all’ effetto, eſtenden-<lb/>doſi per tutto là, dove ſi eſtende l’ effetto, e non
<pb o="19" file="0043" n="43" rhead="LIBRO I."/>
più. </s>
  <s xml:id="echoid-s385" xml:space="preserve">Il che è chiaro, poichè ſe foſſe alcuna par-<lb/>te dell’ effetto, a cui l’ azion della cauſa non <lb/>perveniſſe, quella parte non ſarebbe effetto, al-<lb/>meno di una tal cauſa. </s>
  <s xml:id="echoid-s386" xml:space="preserve">Che ſe l’ azion della <lb/>cauſa ſi eſtendeſſe più là dell’ effetto, ſarebbe una <lb/>parte dell’ azi<unsure/>one, la quale non produrrebbe nul-<lb/>la, ciò che è impoſſibi<unsure/>le, poichè tendendo l’ azio-<lb/>ne di natura ſua a produr l’ effetto, dee pure ne-<lb/>ceſſariamente produrlo, ſalvo ſe egli non foſſe da <lb/>altra cauſa per qualche altra azione impedito; </s>
  <s xml:id="echoid-s387" xml:space="preserve">il <lb/>che ora non ſupponghiamo. </s>
  <s xml:id="echoid-s388" xml:space="preserve">Voi vedete dunque, <lb/>come l’ azione è ſempre eguale all’ effetto; </s>
  <s xml:id="echoid-s389" xml:space="preserve">e pe-<lb/>rò di<unsure/>ceſi, che ad’ eſſo è ſempre eguale ancor la <lb/>cagione; </s>
  <s xml:id="echoid-s390" xml:space="preserve">perciocchè in queſta altro non ſi confi-<lb/>dera ora, ſe non l’ azione. </s>
  <s xml:id="echoid-s391" xml:space="preserve">E ſe voi nel dipinto-<lb/>re altro non conſidererete ſe non l’ azion del <lb/>dipingere, voi troverete queſta egualiſſima alla pit-<lb/>tura, che egli fa; </s>
  <s xml:id="echoid-s392" xml:space="preserve">e così in tutte le altre cauſe; <lb/></s>
  <s xml:id="echoid-s393" xml:space="preserve">le quali talvolta paion maggiori dei loro effetti, <lb/>perchè noi non conſideriamo in loro ſolamente l’ <lb/>azione con cui gli producono, ma qualche altra <lb/>coſa di più. </s>
  <s xml:id="echoid-s394" xml:space="preserve">Così dunque, diſſe allora il Signor <lb/>Marcheſe, ſe per forza viva non altro intendia-<lb/>mo, che una potenza, o virtù, la qual produ-<lb/>ce il movimento; </s>
  <s xml:id="echoid-s395" xml:space="preserve">non conoſcendofi in eſſa ne <lb/>conſiderandoſi ſe non l’ azion del produrre, do-<lb/>vrà eſſa dirſi eguale al movimento, e per conſe-<lb/>guente proporzionale alla velocità moltiplicata <lb/>per la maſſa. </s>
  <s xml:id="echoid-s396" xml:space="preserve">Il perchè ſarebbe da deſiderarſi gran-<lb/>demente, che per forza viva non altro doveſſe
<pb o="20" file="0044" n="44" rhead="DELLA FORZA DE’ CORPI"/>
intenderſi, che una tal virtù; </s>
  <s xml:id="echoid-s397" xml:space="preserve">perchè così la qui-<lb/>ſtione ſarebbe ſciolta di preſente. </s>
  <s xml:id="echoid-s398" xml:space="preserve">Ma per qual <lb/>cagione non ſarà egli leci<unsure/>to al fi@oſofo intendere <lb/>per qualſivoglia nome qualſivoglia coſa? </s>
  <s xml:id="echoid-s399" xml:space="preserve">Io non <lb/>credo già, riſpoſi io allora, che debba ciò eſſer <lb/>lecito; </s>
  <s xml:id="echoid-s400" xml:space="preserve">ma egli è ben certo che chi deſvia un no-<lb/>me dalla ſua prima ſignificazione trasferendolo ad <lb/>un’ altra, dee bene intendere, che egli non trat-<lb/>ta ne ſcioglie la controverſia, che prima con tal <lb/>nome era ſtata propoſta, ma ne propone una <lb/>nuova; </s>
  <s xml:id="echoid-s401" xml:space="preserve">e ſi ingannerebbe ſe egli credeſſe di aver <lb/>trattata la quiſtion vecchia per eſſerſi ſervito del <lb/>vecchio nome; </s>
  <s xml:id="echoid-s402" xml:space="preserve">come io temo, che ſia avvenuto, <lb/>non ha gran tempo in Bologna ad un’ ingegno-<lb/>ſiſſimo matematico; </s>
  <s xml:id="echoid-s403" xml:space="preserve">voglio dire il Padre Ricca-<lb/>ti, il quale avendoſi finta nell’ animo certa qua-<lb/>lità nuova, formandola, e diffinendola a modo <lb/>ſuo, et avendovi compoſto ſopra con molto ſtu-<lb/>dio undici<unsure/> belli<unsure/>ſſimi<unsure/> dialoghi, ha creduto diaver <lb/>fatto un libro ſopra la forza viva; </s>
  <s xml:id="echoid-s404" xml:space="preserve">e ciò non per <lb/>altro, ſe non perchè gli è piacciuto nominar for-<lb/>za viva quella ſua qualità. </s>
  <s xml:id="echoid-s405" xml:space="preserve">Secondo un tal diſcor-<lb/>ſo, diſſe allora il Signor Marcheſe, potrebbono <lb/>i filoſofi, che abbi<unsure/>amo detto, non aver ſciolta <lb/>la quiſtione in niun modo, anzi<unsure/> non averla pu-<lb/>re toccata; </s>
  <s xml:id="echoid-s406" xml:space="preserve">e ciò ſarebbe, quando eſſi con quel-<lb/>la loro diffinizione aveſſero diſtolto il nome di <lb/>forza viva dalla ſua prima ſigni<unsure/>ficazione, traen-<lb/>dolo ad un’ altra ad arbitrio loro. </s>
  <s xml:id="echoid-s407" xml:space="preserve">E per entrar <lb/>nella quiſtione ſicuramente, biſognerebbe vedere,
<pb o="21" file="0045" n="45" rhead="LIBRO I."/>
qual ſentimento deſſero ad un tal nome quel-<lb/>li, che furono i primi ad uſarlo, o a metter-<lb/>lo in qualche ſplendore, i quali ſoli ebbero il <lb/>diritto di dargli quella figni<unsure/>ficazione, che <lb/>più loro piaceva. </s>
  <s xml:id="echoid-s408" xml:space="preserve">Ma queſti, cominciando <lb/>da Leibnizi<unsure/>o, e di<unsure/>ſcendendo agli altri, che dopo <lb/>lui vennero, ci hanno laſci<unsure/>ato certe diffinizioni del-<lb/>la forza viva, che io non ho mai potuto inten-<lb/>der del tutto. </s>
  <s xml:id="echoid-s409" xml:space="preserve">Benchè certo, diſſi io allora, per <lb/>trattar la quiſtione, che quegli antichi propoſe-<lb/>ro, bi<unsure/>ſognaſſe prendere il vocabolo di forza viva <lb/>in quel ſentimento, che eſſi lo preſero; </s>
  <s xml:id="echoid-s410" xml:space="preserve">non è <lb/>però, che debbano traſcurarſi le altre quiſtioni, <lb/>che poi ſon nate prendendo il vocabolo d’ altra <lb/>maniera; </s>
  <s xml:id="echoid-s411" xml:space="preserve">et è anche da vederſi la diffinizione del <lb/>Padre Riccati; </s>
  <s xml:id="echoid-s412" xml:space="preserve">perciocchè queſte quiſtioni ſon pur <lb/>quiſtioni, cioè dubj, che ſi vogliono levar dall’ <lb/>animo ſempre che ſi poſſa, ne ſono forſe men bel-<lb/>le di quella, che fecer quei primi. </s>
  <s xml:id="echoid-s413" xml:space="preserve">De quali ſe <lb/>voi non avete inteſo le diffinizioni, io non sò, s’ <lb/>io debba darne più toſto la colpa a voi, che a <lb/>loro; </s>
  <s xml:id="echoid-s414" xml:space="preserve">perciocchè anche a me è paruto, che poco <lb/>curaſſero di ſpiegarle. </s>
  <s xml:id="echoid-s415" xml:space="preserve">Gioanni Bernulli in quel <lb/>belli<unsure/>ſſimo ragionamento, che egli eſpreſſamente <lb/>compoſe per dichiarare, e mettere in un pieniſ-<lb/>ſimo lume la vera nozione della forza viva, riſa-<lb/>lendo d’una in altra idea, ſi ſerma in quella final-<lb/>mente, che la forza viva dir ſi debba una cotal forza <lb/>ſoſtanziale. </s>
  <s xml:id="echoid-s416" xml:space="preserve">Io credo, che il voſtro maeſtro di Alca-<lb/>là, il quale mi avete detto eſſere un ſottiliſſimo, e
<pb o="22" file="0046" n="46" rhead="DELLA FORZA DE’ CORPI"/>
valoroſiſſimo Peripatetico, quantunque intenda la <lb/>forma ſoſtanziale di Ariſtotele, non così leggiermen-<lb/>te intenderebbe la forza ſoſtanziale di Bernulli. <lb/></s>
  <s xml:id="echoid-s417" xml:space="preserve">Egli è ben vero però, che molte coſe ſono più <lb/>facili a intenderſi, che a definirſi, di che poſſono <lb/>ſervir come d’ eſempio il tempo, lo ſpazio, la <lb/>relazione, la ſoſtanza, l’ accidente, e ſe volete <lb/>quella iſteſſa forma ſoſtanziale, che avete impa-<lb/>rata in Alcalà. </s>
  <s xml:id="echoid-s418" xml:space="preserve">E per ciò 10 mi guardo aſſai vol-<lb/>te d’ eſſer moleſto a quelli, i quali parendomi, <lb/>che abbiano inteſo ottimamente la coſa, non l’ <lb/>hanno però ottimamente definita; </s>
  <s xml:id="echoid-s419" xml:space="preserve">e in tal caſo <lb/>io ſoglio più toſto ſeguire l’ intendimento loro, <lb/>che le parole; </s>
  <s xml:id="echoid-s420" xml:space="preserve">il quale intendimento ſi compren-<lb/>de il più delle volte meglio per lo proſeguimen-<lb/>to de i lor diſcorſi, che per alcuna accurata, e <lb/>giuſta diffinizione. </s>
  <s xml:id="echoid-s421" xml:space="preserve">E certo che quei primi, che <lb/>introduſſero il nome di forza viva, e ne fece-<lb/>ro tanto rumore, come anche quelli, che per lun-<lb/>go tempo poi li ſeguirono, aſſai moſtrarono in. </s>
  <s xml:id="echoid-s422" xml:space="preserve"><lb/>tutti i ragionamenti loro, che null’ altro per eſ-<lb/>ſo intendevano, ſe non quella forza, che un cor-<lb/>po hà, qualora è meſſo in movimento, di pro-<lb/>durre ora un’ effetto, ora un’ altro; </s>
  <s xml:id="echoid-s423" xml:space="preserve">e quindi è, <lb/>che parendo loro, che queſti effetti ſeguiſſero ſem-<lb/>pre la proporzione della maſſa moltiplicata per lo <lb/>quadrato della velocità, vollero, che anche la for-<lb/>za viva ſi miſuraſſe all’ iſteſſo modo. </s>
  <s xml:id="echoid-s424" xml:space="preserve">Il perchè <lb/>tenendo io dietro a i lor diſcorſi, non molto ho <lb/>curato le loro diffinizioni; </s>
  <s xml:id="echoid-s425" xml:space="preserve">le quali, qualunque
<pb o="23" file="0047" n="47" rhead="LIBRO I."/>
ſieno, ſe ſono conſentanee ai diſeorſi medeſimi, <lb/>come eſſer debbono, biſogna pure, che ſi riduca-<lb/>no tutte in una, cioè che la ſorza viva ſia quel-<lb/>la forza, che ha un corpo, allorchè è moſſo, di <lb/>produrre o un’ effetto, o un’ altro. </s>
  <s xml:id="echoid-s426" xml:space="preserve">Biſogna cer-<lb/>to, diſſe allora il Signor Marcheſe, che così in-<lb/>tendeſſero la forza viva; </s>
  <s xml:id="echoid-s427" xml:space="preserve">altramente non l’ av-<lb/>rebbono miſurata dagli effetti. </s>
  <s xml:id="echoid-s428" xml:space="preserve">E ſe ciò è, ben <lb/>ſi vede che ſecondo loro, eſſendo la forza viva <lb/>una forza del corpo meſſo già in movimento, <lb/>dee ſopravvenire al movimento, non produrlo; </s>
  <s xml:id="echoid-s429" xml:space="preserve">e <lb/>quelli che hanno chiamato forza viva la forza <lb/>producitrice del movimento, hanno abuſato del <lb/>nome, e ſervendoſi della ſteſſa voce hanno fatto <lb/>un’ altra quiſtione. </s>
  <s xml:id="echoid-s430" xml:space="preserve">Del qual’ errore, ſoggiunſi <lb/>io, non ſon forſe del tutto eſenti i noſtri Carte-<lb/>ſiani, i quali dovevano per forza viva intender <lb/>non quello, che lor piaceva, cioè la potenza pro-<lb/>ducitrice del movimento, ma sì quello, che vo-<lb/>levano i Lei<unsure/>bniziani. </s>
  <s xml:id="echoid-s431" xml:space="preserve">Ma eſſi intendendo quello, <lb/>che piaceva loro, trovarono la quiſtion più faci-<lb/>le; </s>
  <s xml:id="echoid-s432" xml:space="preserve">e quella facilità gli fece errar volentieri. </s>
  <s xml:id="echoid-s433" xml:space="preserve">Ne <lb/>dovrebbe però, diſſe allora il Signor Marcheſe, <lb/>eſſer gran fatto difficile ſciogliere la quiſtion lo-<lb/>ro anche a quegli altri, che vogliono la forza vi-<lb/>va eſſere una forza, che ha il corpo moſſo di pro-<lb/>durre varj effetti; </s>
  <s xml:id="echoid-s434" xml:space="preserve">i quali effetti ſono, ſe io non <lb/>m’ inganno, di rompere per eſempio un’ altro <lb/>corpo, in cui quello, che è moſſo, vada a per-<lb/>cuotere, o di piegarlo, o di ſchiacciarlo, o di
<pb o="24" file="0048" n="48" rhead="DELLA FORZA DE’ CORPI"/>
aprirlo, o di chiuderlo, o di alzarlo, o che ſo <lb/>io; </s>
  <s xml:id="echoid-s435" xml:space="preserve">poichè ſe troveraſſi per eſperienza, che tali <lb/>effetti ſieno proporzionali alla velocità del cor-<lb/>po, biſognerà ben dire, che quella forza, che gli <lb/>produce, ſia proporzionale eſſa pure alla velocità; <lb/></s>
  <s xml:id="echoid-s436" xml:space="preserve">e ſe quelli ſi troveranno proporzionali al quadra-<lb/>to della velocità, dovrà eſſere proporzionale al-<lb/>lo ſteſſo quadrato ancor la forza. </s>
  <s xml:id="echoid-s437" xml:space="preserve">Io laſcio ora <lb/>da parte la maſſa, piacendomi, che ella ſi pren-<lb/>da per tutto e in tutti gli eſperimenti ſempre egua-<lb/>le, così che per riſpetto di eſſa non mai debba <lb/>cangiarſi la proporzione. </s>
  <s xml:id="echoid-s438" xml:space="preserve">Par dunque, che tutta <lb/>la quiſtione voglia commetterſi all’ eſperienza, <lb/>per cui ſi vegga, qual ſia la grandezza di ciaſcun’ <lb/>effetto, e quindi miſuriſi la grandezza della for-<lb/>za; </s>
  <s xml:id="echoid-s439" xml:space="preserve">in tanto che gli eſperimentatori, che ſi han-<lb/>no oggimai uſurpata quaſi tutta la filoſofia, ſi <lb/>uſurperanno ancora queſta controverſia. </s>
  <s xml:id="echoid-s440" xml:space="preserve">Io non <lb/>credo però, riſpoſi io allora, che i metafiſici la <lb/>laſcieran loro godere aſſai tranquillamente. </s>
  <s xml:id="echoid-s441" xml:space="preserve">Co-<lb/>me ciò? </s>
  <s xml:id="echoid-s442" xml:space="preserve">riſpoſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s443" xml:space="preserve">Perchè, diſſi <lb/>io, ſe noi non avremo dell’ effetto ſe non quel-<lb/>la idea, che l’ eſperimentatore ci moſtra, non <lb/>ne avremo che una idea confuſiſſima, e bene <lb/>ſpeſſo metteremo a luogo di effetto ciò, che non <lb/>è; </s>
  <s xml:id="echoid-s444" xml:space="preserve">e vorranno i metafiſici ſvolgere eſſi et illuſtrar <lb/>queſta idea, e dichiarare, qual ſia vero effetto, <lb/>e qual nò, moſtrando in che s’ adopri l’ azion <lb/>della cauſa, e in che non s’ adopri. </s>
  <s xml:id="echoid-s445" xml:space="preserve">Ne per mio <lb/>avviſo avranno il torto; </s>
  <s xml:id="echoid-s446" xml:space="preserve">richiedendoſi a ciò un fi-
<pb o="25" file="0049" n="49" rhead="LIBRO I."/>
niſſimo intendimento, il qual può mancare all <lb/>eſprimentatore, che poco della ragione, e quaſi <lb/>ſolo ſi ſerve degli occhi e della niano. </s>
  <s xml:id="echoid-s447" xml:space="preserve">Io non <lb/>avrei creduto, diſſe allora il Signor Marcheſe, <lb/>che doveſſe eſſere tanto difficile il conoſcer l’ ef-<lb/>fetto di una cauſa; </s>
  <s xml:id="echoid-s448" xml:space="preserve">potendoſi, ſecondo che a me <lb/>pare, facilmente avvertire, che coſa ſia quello, <lb/>che ſegue poſta l’ azion della cauſa, e che non <lb/>ſeguirebbe non poſta quella tale azione. </s>
  <s xml:id="echoid-s449" xml:space="preserve">Voi<unsure/> di-<lb/>reſte vero, riſpoſi io, ſe egli baſtaſſe avvertir ciò; <lb/></s>
  <s xml:id="echoid-s450" xml:space="preserve">ma a mio giudizio non baſta; </s>
  <s xml:id="echoid-s451" xml:space="preserve">poichè come l’ ef-<lb/>fetto ſi pon dalla cauſa, così toſto molte proprie-<lb/>tà, e modi, e qualltà, e relazioni, et affezioni lo ſe-<lb/>guono, le quali dai pi<unsure/>ù ſemplici ſi prendono tal-<lb/>volta come effetti, ne però debbono dirſi effetti, <lb/>ne ſono; </s>
  <s xml:id="echoid-s452" xml:space="preserve">perciocchè l’ azion della cauſa non ha <lb/>in eſſe parte alcuna, ma l’ effetto, così come è <lb/>prodotto, ſe le trae dietro egli ſteſſo da ſe e per <lb/>natura ſua. </s>
  <s xml:id="echoid-s453" xml:space="preserve">Un’ artefice commette inſieme tre li-<lb/>nee, ponendole di maniera, che chiudano uno <lb/>ſpazio: </s>
  <s xml:id="echoid-s454" xml:space="preserve">qual direte voi, che ſia l’ effetto dell’ a-<lb/>zione di quell’ artefice? </s>
  <s xml:id="echoid-s455" xml:space="preserve">La poſizione, diſſe il Si-<lb/>gnor Marcheſe, di quelle tre linee. </s>
  <s xml:id="echoid-s456" xml:space="preserve">Nulla pi<unsure/>ù? </s>
  <s xml:id="echoid-s457" xml:space="preserve"><lb/>domanda’ io; </s>
  <s xml:id="echoid-s458" xml:space="preserve">riſpoſe il Signor Marcheſe, null’ <lb/>altro; </s>
  <s xml:id="echoid-s459" xml:space="preserve">certo a me pare che l’ artefice null’ altro <lb/>faccia. </s>
  <s xml:id="echoid-s460" xml:space="preserve">Ma pure, ripiglia’ io, voi<unsure/> vedete, che eſ. </s>
  <s xml:id="echoid-s461" xml:space="preserve"><lb/>ſendo quelle tre linee poſte in quel tal modo, ne <lb/>ſeguon tre angoli, e queſti eguali a due angoli <lb/>retti. </s>
  <s xml:id="echoid-s462" xml:space="preserve">Non vi par dunque, che l’ artefice oltre <lb/>il produrre la poſizion delle linee, debba anche
<pb o="26" file="0050" n="50" rhead="DELLA FORZA DE’ CORPI"/>
produrre gli angoli, e quella uguaglianza, che <lb/>hanno ai due retti, così che impiegando una par-<lb/>te dell’ azion ſua a produrre la poſizion delle li-<lb/>nee, un’ altra parte debba impiegarne a produr <lb/>gli angoli, et un’ altra a produr l’ uguaglianza? <lb/></s>
  <s xml:id="echoid-s463" xml:space="preserve">A me non par già così, diſſe allora il Signor Mar-<lb/>cheſe; </s>
  <s xml:id="echoid-s464" xml:space="preserve">anzi<unsure/> io credo, che tutta l’ azion dell’ ar-<lb/>tefice ſi adopri nel produrre la poſizion delle li-<lb/>nee, e che queſta ſola ſia il ſuo effetto. </s>
  <s xml:id="echoid-s465" xml:space="preserve">Ben è <lb/>vero, che queſta poſizione ſi trae poi dietro gli <lb/>angoli<unsure/>, e l’ uguaglianza, che eſſi hanno a due <lb/>retti, ſiccome anche tutte quelle altre innumera-<lb/>bili proprietà, che neceſſariamente ad una tal po-<lb/>ſizione ſi convengono. </s>
  <s xml:id="echoid-s466" xml:space="preserve">Ma queſte ſe le fa ella, <lb/>per così dire, da fe, ſenza aſpettarle dall’ artefi-<lb/>ce; </s>
  <s xml:id="echoid-s467" xml:space="preserve">come l’ albero ſi fa egli da ſe le ſue frondi <lb/>e le ſue foglie ſenza aſpettarle dall’ agricoltore, <lb/>il qual non fa altro, che porre il ſeme. </s>
  <s xml:id="echoid-s468" xml:space="preserve">E lo ſteſ-<lb/>ſo parmi, che debba dirſi di tutte quelle relazio-<lb/>ni e proprietà, che neceſſariamente accompagna-<lb/>no la natura e l’ eſſenza dell’ effetto; </s>
  <s xml:id="echoid-s469" xml:space="preserve">poichè parte-<lb/>cipandoſi all’ effetto quella tale eſſenza, vi<unsure/> porta <lb/>ſeco ella ſteſſa tutte le ſue perfezioni, ne vuol rice-<lb/>verle da alcuno. </s>
  <s xml:id="echoid-s470" xml:space="preserve">E lo ſteſſo anche vuol dirſi, ſog-<lb/>giunſi io allora, di certe altre relazioni, che i <lb/>filoſofi chiamano eſtrinſeche, e che ſi contengono <lb/>non nell’ eſſenza di una coſa ſola, ma nell’ in-<lb/>contro e nell’ accoppiamento di molte; </s>
  <s xml:id="echoid-s471" xml:space="preserve">percioc-<lb/>chè queſto incontro e queſto accoppiamento ſe <lb/>le trae dietro da ſe ſteſſo, e di natura ſua. </s>
  <s xml:id="echoid-s472" xml:space="preserve">Se
<pb o="27" file="0051" n="51" rhead="LIBRO I."/>
uno fa bianco un muro, che altro produce <lb/>egli, ſe non quella bianchezza? </s>
  <s xml:id="echoid-s473" xml:space="preserve">e pure oltre al <lb/>fare quel muro bianco, lo fa anche ſimile a tutti <lb/>gli altri muri che ſon bianchi al mondo. </s>
  <s xml:id="echoid-s474" xml:space="preserve">Diremo <lb/>noi dunque, che egli produca ancora quella ſomi-<lb/>glianza, e che avendo una forza, con cui produr-<lb/>re la bianchezza, debba averne anche un’ altra, <lb/>con cui produrre la ſomiglianza? </s>
  <s xml:id="echoid-s475" xml:space="preserve">Non già; </s>
  <s xml:id="echoid-s476" xml:space="preserve">ma <lb/>producendo egli la bianchezza, et incontrandoſi <lb/>queſta in altre bianchezze di lei compagne, ne <lb/>riſulta la ſomiglianza ſpontaneamente, per così <lb/>dire, e da ſe ſteſſa. </s>
  <s xml:id="echoid-s477" xml:space="preserve">E così pur fanno tutte le al-<lb/>tre relá<unsure/>zioni, che allargandoſi e ſpandendoſi per <lb/>l’ univerſo abbracciano tutte le coſe, e le tengo-<lb/>no per certo maraviglioſo modo in comunione <lb/>e in ſocietà. </s>
  <s xml:id="echoid-s478" xml:space="preserve">Voi potete vedere, che per poco, <lb/>che un corpo ſi mova ſcorrendo una linea, non <lb/>ſolamente ſcorre quella tal linea, ma perde le re-<lb/>lazioni di diſtanza, che avea verſo tutti i punti <lb/>dell’ interminabile ſpazio, e ne acquiſta di nuo-<lb/>ve; </s>
  <s xml:id="echoid-s479" xml:space="preserve">e ciò faccendo da quanti corpi ſi allontana, e a <lb/>quanti ſi accoſta, a qual più e a qual meno, ſe-<lb/>condo la natura del movimento ſuo! così che <lb/>non è parte alcuna dell’ univerſo, che non can-<lb/>gi diſtanza riſpetto a lui cangiandola egli riſpetto <lb/>a tutte. </s>
  <s xml:id="echoid-s480" xml:space="preserve">Nè è per queſto da dire, che quella cau-<lb/>ſa, la qual move il corpo, altro faccia, che mo-<lb/>verlo per una certa linea; </s>
  <s xml:id="echoid-s481" xml:space="preserve">benchè da un tal mo-<lb/>vimento riſultin tutte quelle mutazioni di diſtan-<lb/>za, che abbiamo detto. </s>
  <s xml:id="echoid-s482" xml:space="preserve">Dunque, diſſe allora il
<pb o="28" file="0052" n="52" rhead="DELLA FORZA DE’ CORPI"/>
Signor Marcheſe, queſte mutazioni, che van ſe-<lb/>guendo nel movimento di un corpo, diremo noi, <lb/>che non ſieno prodotte da cauſa niuna? </s>
  <s xml:id="echoid-s483" xml:space="preserve">Se noi <lb/>vogliamo parlare ſecondo l uſo del popolo, ri-<lb/>ſpoſi io, noi diremo, che ſon prodotte da quella <lb/>cauſa, la qual produce il movimento, perciocchè <lb/>producendo il movimento, che le trae ſeco, fa <lb/>in qualche modo, che eſſe ſieno; </s>
  <s xml:id="echoid-s484" xml:space="preserve">ma non per <lb/>queſto però diremo, che l’ azion della cauſa in <lb/>altro ſi termini che nel movimento ſolo. </s>
  <s xml:id="echoid-s485" xml:space="preserve">Laonde <lb/>queſte relazioni di diſtanza, che van naſcendo per <lb/>lo movimento de corpi, e ſuccedendoſi le une <lb/>alle altre, come ancora tutti gli altri riſpetti di <lb/>ſomiglianza, di diſſomiglianza, di egualità, di <lb/>ineguali<unsure/>tà, e che ſo io, che van riſultando ne cor-<lb/>pi, non ſono propriamente effetti, ma aggiunti <lb/>e proprietà degli eff@tti. </s>
  <s xml:id="echoid-s486" xml:space="preserve">E lo ſteſſo è da dire ge-<lb/>neralmente di tutti gli attributi eſsenziali, e neceſ-<lb/>ſarj, che l’ effetto riceve non da quella partico-<lb/>lar cauſa, che lo produce, ma da quella eſſenza <lb/>eterna et immutabile, che a lui ſi partecipa, e che <lb/>gli ha da ſe. </s>
  <s xml:id="echoid-s487" xml:space="preserve">Voi dite vero, diſſe allora il Signor <lb/>Marcheſe, che gli eſperimentatori non avranno <lb/>tanta ſottigliezza; </s>
  <s xml:id="echoid-s488" xml:space="preserve">ma io temo, che i metafiſici, <lb/>che l’ hanno, non ſaranno gran ſatto aſcoltati; </s>
  <s xml:id="echoid-s489" xml:space="preserve">i <lb/>quali però io vorrei ben ſapere, con tanta ſottigliez.</s>
  <s xml:id="echoid-s490" xml:space="preserve"><unsure/> <lb/>za come miſurino la forza viva. </s>
  <s xml:id="echoid-s491" xml:space="preserve">I più di loro e a <lb/>mio giudizio i più ſottili, non la miſurano punto, <lb/>riſpoſi io; </s>
  <s xml:id="echoid-s492" xml:space="preserve">più toſto la levano via del tutto, e <lb/>la rigettan da corpi come coſa inutile; </s>
  <s xml:id="echoid-s493" xml:space="preserve">la qual’
<pb o="29" file="0053" n="53" rhead="LIBRO I."/>
opinione io ſeguirei volentieri, ſe voleſſi ſeguir-<lb/>ne alcuna. </s>
  <s xml:id="echoid-s494" xml:space="preserve">Queſto è, diſſe il Signor Marcheſe, <lb/>levar via la quiſtione ſaccendo naſcerne un’ altra; <lb/></s>
  <s xml:id="echoid-s495" xml:space="preserve">e ciò è, ſe ſia pure ne corpi, o non ſia veruna <lb/>forza viva. </s>
  <s xml:id="echoid-s496" xml:space="preserve">Intorno a che ſe voi volete fuggit<unsure/> tut-<lb/>te le opinioni, moſtra peròche quella, che avete <lb/>ora eſpoſta, vi abbia invaghito, e quaſi preſo, avendo <lb/>detto, che la ſeguireſte volentieri. </s>
  <s xml:id="echoid-s497" xml:space="preserve">Io vi prego <lb/>dirmi, perchè ſeguireſte quella opinione, benchè <lb/>non vogliate ſeguirla. </s>
  <s xml:id="echoid-s498" xml:space="preserve">Voi volete pure, riſpoſi <lb/>io allora, trarmi in una materia, ove io entro ſem-<lb/>pre con diſpiacere; </s>
  <s xml:id="echoid-s499" xml:space="preserve">avendone oramai udito diſpu-<lb/>tar tante volte, che ne ſono ſtanco; </s>
  <s xml:id="echoid-s500" xml:space="preserve">pure niente <lb/>è, che poſſa tanto diſpiacermi, quanto il negarvi <lb/>coſa, che a voi piaccia. </s>
  <s xml:id="echoid-s501" xml:space="preserve">Riſponderò dunque bre-<lb/>vemente alla voſtra dimanda, e come potrò. </s>
  <s xml:id="echoid-s502" xml:space="preserve">Ciò <lb/>detto ſopraſtetti alquanto, indi ſeguitai. </s>
  <s xml:id="echoid-s503" xml:space="preserve">Voi ſape-<lb/>te, Signor Marcheſe, che laſciando da parte i Pe-<lb/>ripatetici, che compoſero il mondo, e l’ ador-<lb/>narono di tante qualità, e forme, furono antica-<lb/>mente due illuſtri filoſoſi Democrito et Epicu-<lb/>ro, i quali avvifarono, tutto l’ univerſo non-<lb/>altro eſſere, che un numero grandiſſimo di parti-<lb/>celle, le quali ſecondo le varie figure loro, e i <lb/>varj movimenti componeſſero tutte le coſe. </s>
  <s xml:id="echoid-s504" xml:space="preserve">E in <lb/>quell’ opinione tanto innanzi procedevano, che <lb/>non che le qualità, che appariſcon ne’ corpi, co-<lb/>me la luce, i colori, il ſuono; </s>
  <s xml:id="echoid-s505" xml:space="preserve">ma anche i pen-<lb/>fieri dell’ animo componevano di quelle lor par-<lb/>@icelle, et anche l’ animo iſteſſo; </s>
  <s xml:id="echoid-s506" xml:space="preserve">il che veramen-
<pb o="30" file="0054" n="54" rhead="DELLA FORZA DE’ CORPI"/>
te era da ridere; </s>
  <s xml:id="echoid-s507" xml:space="preserve">ne è da maravigliarſi, che quel-<lb/>la loro filoſofia ſia ſtata per molti ſecoli diſprez-<lb/>zata. </s>
  <s xml:id="echoid-s508" xml:space="preserve">Ultimamente Carteſio adoprandovi maggio-<lb/>re ſtudio e maggiore ingegno, l’ ha giudicata <lb/>più toſto degna di emendazione; </s>
  <s xml:id="echoid-s509" xml:space="preserve">ſebbene di tan-<lb/>to l’ ha mutata, e corretta, che ha fatto più to-<lb/>fto una filoſofia nuova, che emendato un’ anti-<lb/>ca; </s>
  <s xml:id="echoid-s510" xml:space="preserve">imperocchè laſciando all’ animo la bellezza, <lb/>e dignità dell’ eſſer ſuo incorporeo, ha inoltre <lb/>levato a corpi ſteſſi tutte quelle qualità, che non <lb/>poſſon conſiſtere in movimento o diſpoſizione di <lb/>particelle, ſoſtituendo in vece loro altrettante appa-<lb/>renze, che la natura ſecondo il tempo, el’ occaſio-<lb/>ne va formando negli animi noſtri o per uſo, o per <lb/>ſollazzo. </s>
  <s xml:id="echoid-s511" xml:space="preserve">E ſecondo l’ opinione di queſt’ uomo <lb/>grandiſſimo non altro reſta ne corpi, ſe non movi-<lb/>mento, e diſpoſizione di particelle, le quali aven-<lb/>do certe ſigure, e cangiando le lor diſtanze in va-<lb/>rie guiſe, e talor ritenendole, compongono le <lb/>tanto vaghe, e dilettoſe forme dell’ univerſo; </s>
  <s xml:id="echoid-s512" xml:space="preserve">il <lb/>qual però ſe noi ſpogliaſſimo di tutte quelle appa-<lb/>renze, che l’animo noſtro gli aggiunge, troverem-<lb/>mo non altro eſſere, che una regolatiſſima diſpo-<lb/>ſizione, e agitazione di particelle. </s>
  <s xml:id="echoid-s513" xml:space="preserve">Neuton, che <lb/>ha conturbato la filoſofia di Carteſio, non ſi è <lb/>però allontanato da queſta opinione; </s>
  <s xml:id="echoid-s514" xml:space="preserve">e ſolamen-<lb/>te a quelle cauſe, che producono il movimento <lb/>nella materia, e che Democrito et Epicuro, e <lb/>Carteſio avean notate, ne ha aggiunto un’ altra, <lb/>che è la forza attrattiva, per cui le parti della ma-
<pb o="31" file="0055" n="55" rhead="LIBRO I."/>
teria, benchè diſgiunte tra loro, e per qualunque <lb/>ſpazio lontane, pur ſi ſentono, per così dire, l’ <lb/>une l’ altre, e ſi invitano, e vengonſi incontro, <lb/>ſenza che alcun’ altro corpo ve le urti o le ſpinga. <lb/></s>
  <s xml:id="echoid-s515" xml:space="preserve">I Peripatetici non avrebbono abborrito queſta <lb/>forza invitatrice dei corpi al movimento. </s>
  <s xml:id="echoid-s516" xml:space="preserve">Ma <lb/>troppe altre qualità immaginavano, che i Neuto-<lb/>niani rigettano, volendo, che non ſia nella natu-<lb/>ra ſe non quell’ una ſola, che eſſi han ritrova-<lb/>ta. </s>
  <s xml:id="echoid-s517" xml:space="preserve">Io non ardiſco di accoſtarmi a veruno di que-<lb/>ſti filoſofi, perchè a qualunque io mi accoſtaſſi, <lb/>troppi ſarebbon quelli, co’ quali mi biſognereb-<lb/>be contendere. </s>
  <s xml:id="echoid-s518" xml:space="preserve">Ma ſe io crederò per ora, che il <lb/>mondo conſiſta tutto in particelle; </s>
  <s xml:id="echoid-s519" xml:space="preserve">ne altro faccia <lb/>la natura ſe non che moverle et agitarle, e col-<lb/>locarle, e diſporle in varie guiſe, io ſeguirò un’ <lb/>opinione, della quale non potranno dolerſi gli <lb/>amatori della forza viva, poichè, come veggo, la <lb/>ſeguono eſſi pure. </s>
  <s xml:id="echoid-s520" xml:space="preserve">Io dunque mi ſono aſſai volte <lb/>meco ſteſſo maravigliato, come riducendo eſſi tutti <lb/>glieffetti della natura a certi movimenti, e diſpoſi-<lb/>zioni di particelle, non abbiano avvertito, che a <lb/>qualunque effetto trè coſe baſtar debbono ſenza <lb/>più; </s>
  <s xml:id="echoid-s521" xml:space="preserve">e queſte ſono prima le potenze, che fanno <lb/>il movimento, poi quelle, che lo diſtruggono, <lb/>e in terzo luogo l’ inerzia, per la quale il corpo, <lb/>quanto è in lui, ſi mantien ſempre in quello ſta-<lb/>to o di quiete, o di movimento, in cui le po-<lb/>tenze lo hanno laſciato. </s>
  <s xml:id="echoid-s522" xml:space="preserve">Le quali tre coſe eſſen-<lb/>do per comune conſentimento di tutti i filoſofi
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concedu@e a corpi, ſe baſtar poſſono a qualunque <lb/>effetto, io non sò per qual ragione vogliaſi loro <lb/>aggiungere quella non ſo qual forza, che ſoprav-<lb/>viene al movimento, e chiamaſi forza viva. </s>
  <s xml:id="echoid-s523" xml:space="preserve">E co-<lb/>me le tre coſe dette non baſterebbono? </s>
  <s xml:id="echoid-s524" xml:space="preserve">Che al-<lb/>tro ſi ſa egli mai nella natura, ſe non movere cer-<lb/>te particelle, e diſtribuirle, e fermarle, così che <lb/>tengan tra loro certe diſtanze, e certi intervalli? </s>
  <s xml:id="echoid-s525" xml:space="preserve">e <lb/>a tutto queſto che altro ricercaſi ſe non che alcuna <lb/>potenza ecciti in loro il movimento, et alcun’ <lb/>altra lo eſtingua, e ſappiano eſſe conſervarſi poi <lb/>da lor medeſime in quello ſtato, in cui furono <lb/>poſte? </s>
  <s xml:id="echoid-s526" xml:space="preserve">Nel che parmi, che alcuni proponendo tal <lb/>volta certi efferti, a miſurar la forza, che gli ha <lb/>prodotti, ſi abuſino degli errori volgari, e dimen-<lb/>ticatiſi dei principj di quella ſteſſa filoſofia, che <lb/>proſeſl<unsure/>ano, non pongan mente, che ogni effetto, <lb/>anche ſecondo loro, ſi riduce a un movimento, <lb/>e ad una diſtribuzione di particelle. </s>
  <s xml:id="echoid-s527" xml:space="preserve">Eccovi che <lb/>una palla, cadendo sù qualche materia molle, vi <lb/>forma un cavo; </s>
  <s xml:id="echoid-s528" xml:space="preserve">prendono queſto cavo, come l’ <lb/>effetto prodotto da quella palla, e con eſſo ne <lb/>miſuran la forza. </s>
  <s xml:id="echoid-s529" xml:space="preserve">Ma che è mai queſto cavo, ſe <lb/>non uno ſpazio, in cui nulla è di quella materia <lb/>molle, che prima v’ era? </s>
  <s xml:id="echoid-s530" xml:space="preserve">or chi dirà, che quel-<lb/>la palla abbia prodotto queſto ſpazio o queſto <lb/>nulla? </s>
  <s xml:id="echoid-s531" xml:space="preserve">Qui eſſendomi fermato un poco, come ſe <lb/>aveſſi aſpettato riſpoſta; </s>
  <s xml:id="echoid-s532" xml:space="preserve">io non direi già, diſſe <lb/>ſubito il Signor Marcheſe, che quella palla ab-<lb/>bia prodotto un tale ſpazio; </s>
  <s xml:id="echoid-s533" xml:space="preserve">direi più toſto, che
<pb o="33" file="0057" n="57" rhead="LIBRO I."/>
ella ha rimoſſo quella materia molle, che lo em-<lb/>pieva, onde ne è riſultata quella vacuità; </s>
  <s xml:id="echoid-s534" xml:space="preserve">ne quel-<lb/>la vacuità è però effetto di modo alcuno. </s>
  <s xml:id="echoid-s535" xml:space="preserve">E la <lb/>materia, riſpoſi io allora, che la palla ha rimoſ-<lb/>ſo, è ella l’ effetto della palla? </s>
  <s xml:id="echoid-s536" xml:space="preserve">Non già, riſpo-<lb/>ſe il Signor Marcheſe; </s>
  <s xml:id="echoid-s537" xml:space="preserve">poichè la palla non pro-<lb/>duce quella materia, ma la rimove. </s>
  <s xml:id="echoid-s538" xml:space="preserve">Tutto quel-<lb/>lo, che fa la palla, ripigliai io, non è altro dunque <lb/>ſe non movere le particelle di quella materia; </s>
  <s xml:id="echoid-s539" xml:space="preserve">le <lb/>quali avendo ricevuto quel movimento, lo av-<lb/>rebbono per l’ inerzia loro conſervato ſempre, ſe <lb/>non aveſſero per via incontrato alcune potenze, <lb/>che glel’ hanno tolto e diſtrutto; </s>
  <s xml:id="echoid-s540" xml:space="preserve">perchè ferman-<lb/>doſi e ritenendo poi quelle medeſime diſtanze, <lb/>che avevano ultimamente acquiſtate, ne è riſul-<lb/>tata la vacuità. </s>
  <s xml:id="echoid-s541" xml:space="preserve">Nel che vedete, che la palla al-<lb/>tro non fa che eccitare un movimento; </s>
  <s xml:id="echoid-s542" xml:space="preserve">il quale <lb/>potrebbe eſſere quanto ſi voglia grande, e tutta-<lb/>via riſultarne quel cavo, che ne riſulta, ſolo che <lb/>le potenze, che debbono un tal movimento di-<lb/>ſtruggere, foſſero cosi pronte, e di tal maniera <lb/>diſpoſte, che fermaſſero le particelle in quei ſiti <lb/>medeſimi. </s>
  <s xml:id="echoid-s543" xml:space="preserve">E come di queſto, così, cred’ io, po-<lb/>trete dire di qualunque altro effetto, avendo ſem-<lb/>pre in mente, che eſſo niente più ſia, che un mo-<lb/>vimento, e una diſtribuzione di particelle, ſecon-<lb/>do l’ opinion di Carteſio non diſapprovata dagli <lb/>altri moderni. </s>
  <s xml:id="echoid-s544" xml:space="preserve">Ma come? </s>
  <s xml:id="echoid-s545" xml:space="preserve">diſſe allora il Signor <lb/>Marcheſe; </s>
  <s xml:id="echoid-s546" xml:space="preserve">cadendo una palla in materia molle, <lb/>vi ſi forma un cavo, il qual prima non era. </s>
  <s xml:id="echoid-s547" xml:space="preserve">E
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perchè non mi ſarà egli lecito di prendere que-<lb/>ſto cavo, come un’ effetto prodotto dalla palla, <lb/>e attribuire per ciò alla palla una forza propor-<lb/>zionale alla grandezza di eſſo? </s>
  <s xml:id="echoid-s548" xml:space="preserve">Se voi volete, ri-<lb/>ſpoſi io allora, fingervi nell’ animo effetti e for-<lb/>ze ad arbitrio voſtro, io non vel contendo. </s>
  <s xml:id="echoid-s549" xml:space="preserve">Vedete <lb/>pure, ſe i Leibniziani, che amano la forza viva, <lb/>vorranno concedervi ſimil licenza. </s>
  <s xml:id="echoid-s550" xml:space="preserve">Egli certo, ri-<lb/>ſpoſe il Signor Marcheſe, me la concedeva quel <lb/>dotto ingegnero, che io conobbi in Malega, il <lb/>qual diſputava aſſai ſpeſſo della forza viva, e non <lb/>ſapeva in neſſun luogo aſtenerſene. </s>
  <s xml:id="echoid-s551" xml:space="preserve">E mi ricorda <lb/>di averlo udito parlar molte volte di quel cavo, <lb/>di cui parliamo ora; </s>
  <s xml:id="echoid-s552" xml:space="preserve">et egli certo il prendeva, co-<lb/>me un’ effetto della palla; </s>
  <s xml:id="echoid-s553" xml:space="preserve">e ſoleva anche dire di <lb/>un ſaſſo, il qual, gittato all’ in sù, ſale per un <lb/>certo ſpazio e non più oltre; </s>
  <s xml:id="echoid-s554" xml:space="preserve">e chi negherà, di-<lb/>ceva egli, che tal ſalita non ſia un’ effetto di qual-<lb/>che forza al ſaſſo comunicata, la qual per ciò deb-<lb/>ba miſurarſi da quello ſpazio, miſurandoſi cer-<lb/>tamente da quello ſpazio la ſalita? </s>
  <s xml:id="echoid-s555" xml:space="preserve">E avrebbe an-<lb/>che potuto dire, riſpoſi io allora, che il ſaſſo git-<lb/>tato ſcorre per un certo tempo, e non più; </s>
  <s xml:id="echoid-s556" xml:space="preserve">e <lb/>prendendo lo ſcorrere per quel tal tempo e non <lb/>più, come un’ effetto, attribuire al ſaſſo una for-<lb/>za, che doveſſe miſurarſi dal tempo. </s>
  <s xml:id="echoid-s557" xml:space="preserve">E per tal <lb/>modo avrebbe immaginate nel ſaſſo due forze <lb/>molto tra loro diverſe, l’ una pioporzionale al-<lb/>lo ſpazio, e l’ altra al tempo. </s>
  <s xml:id="echoid-s558" xml:space="preserve">Ne io nego, che <lb/>poſſa ognuno prendere, come effetto, tutto
<pb o="35" file="0059" n="59" rhead="LIBRO I."/>
che a lui piaccia, fingendoſi nell’ animo una qual-<lb/>che forza, che l’ abbia prodotto, la qual cer-<lb/>to dovrà ſempre eſſere proporzionale ad eſſo. </s>
  <s xml:id="echoid-s559" xml:space="preserve">E <lb/>voi potete, ſe vi aggrada, prendere come un’ ef-<lb/>ſetto anche la vacuità, che la palla, cadendo nel-<lb/>la materia molle, vi ha laſciato, e però fingervi <lb/>nella palla una forza a quella vacuità proporzio-<lb/>nale. </s>
  <s xml:id="echoid-s560" xml:space="preserve">Ma come l’ effetto, che voi vi proponete <lb/>nella voſtra immaginazione, non è veramente ef-<lb/>fetto nella natura, così la forza, che lo produce, <lb/>non veramente nella natura, ma ſarà ſolo nella <lb/>voſtra immaginazione. </s>
  <s xml:id="echoid-s561" xml:space="preserve">Il che non ſo, ſe quel vo-<lb/>ſtro ingegnere vi aveſſe conceduto. </s>
  <s xml:id="echoid-s562" xml:space="preserve">Vedete, quan-<lb/>ti effetti potete mai immaginarvi nella caduta di <lb/>quella palla, di cui parliamo! perciocchè ella in-<lb/>duce un cavo nella materia molle, et anche vi <lb/>genera una ſuperſicie concava, e comprimendo <lb/>la materia ſteſſa, la rende più denſa; </s>
  <s xml:id="echoid-s563" xml:space="preserve">e ſe voi pren-<lb/>derete ognuna di queſte coſe come un’ effetto, <lb/>vi biſognerà immaginar nella palla altrettante for-<lb/>ze, e tutte tra loro diverſe; </s>
  <s xml:id="echoid-s564" xml:space="preserve">perciocchè la forza, <lb/>con cui la palla produce il cavo, dovrà eſſere pro-<lb/>porzionale alla grandezza del cavo; </s>
  <s xml:id="echoid-s565" xml:space="preserve">e la forza, <lb/>con cui produce la ſuperſicie, dovrà eſſer propor-<lb/>zionale alla ſuperſicie; </s>
  <s xml:id="echoid-s566" xml:space="preserve">e quella, con cui produ-<lb/>ce la denſità, dovrà eſſere alla denſità proporzio-<lb/>nale; </s>
  <s xml:id="echoid-s567" xml:space="preserve">e voi ſapete quanto queſte proporzioni, e <lb/>miſure ſieno lontane tra loro e diverſe. </s>
  <s xml:id="echoid-s568" xml:space="preserve">Laonde <lb/>aſſai chiaramente ſi vede, che prendendo l’ effet-<lb/>to ad arbitrio, e chiamandoſi forza viva quella.</s>
  <s xml:id="echoid-s569" xml:space="preserve">
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forza, che lo produce, potrà queſta eſſere di qual-<lb/>ſivoglia miſura, ne ſarà più da cercare qual pro-<lb/>porzione determinata ella ſegua, potendo ſeguir-<lb/>le tutte. </s>
  <s xml:id="echoid-s570" xml:space="preserve">Il che certamente i Leibniziani non vi <lb/>concederanno. </s>
  <s xml:id="echoid-s571" xml:space="preserve">Volendo dunque ſtabilire la pro-<lb/>porzione, e la miſura della forza viva, non biſo-<lb/>gna prender l’ effetto ad’ arbitrio. </s>
  <s xml:id="echoid-s572" xml:space="preserve">del popolo, ne <lb/>degli eſperimentatori, che poco dal popolo ſi al-<lb/>lontanano; </s>
  <s xml:id="echoid-s573" xml:space="preserve">ma vedere qual ſia l’ effetto vero, che <lb/>veramente produceſi nella natura, e miſurarla da <lb/>eſſo; </s>
  <s xml:id="echoid-s574" xml:space="preserve">il quale ſecondo l’ opinione dei moderni tut-<lb/>ti ſi riduce ſempre a movimento, e diſpoſizione <lb/>di particelle. </s>
  <s xml:id="echoid-s575" xml:space="preserve">A molto poco, riſpoſe quivi il Si-<unsure/> <lb/>gnor Marcheſe, riduconſi gli effetti della natura <lb/>ſecondo voi. </s>
  <s xml:id="echoid-s576" xml:space="preserve">Pure anehe in ciò ſi conoſce l’ in-<lb/>finita ſagacità di eſſa, che ſappia con così poco <lb/>formar tanti, e tanto vaghi, e maraviglioſi aſpet-<lb/>ti, che tutto ’l dì ci ſi preſentano nell’ univerſo-<lb/>Ma giacchè voi avete detto, che il carico, per co-<lb/>sì dire, e la procurazion d’ogni coſa è ſtata da-<lb/>ta a due potenze, l’ una delle quali produce il <lb/>movimento, e l’ altra lo diſtrugge; </s>
  <s xml:id="echoid-s577" xml:space="preserve">io vorrei, pri-<lb/>ma di paſſar più avanti, conoſcere queſte due <lb/>procuratrici della natura, e ſaper quali ſieno, e <lb/>come operino; </s>
  <s xml:id="echoid-s578" xml:space="preserve">et egli ſi appartiene alla corteſia <lb/>voſtra, avendomele nominate più volte, il farme-<lb/>le ancor vedere. </s>
  <s xml:id="echoid-s579" xml:space="preserve">Se voi voleſte, riſpoſi io allo-<lb/>ra, vederle ſcoperte, e quali in ſe ſono, io temo <lb/>di non poter ſoddisfarvi; </s>
  <s xml:id="echoid-s580" xml:space="preserve">perchè eſſe non voglio-<lb/>no eſſer vedute, e ſi ſtanno continuamente na-
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ſcoſte. </s>
  <s xml:id="echoid-s581" xml:space="preserve">Di vero chi è i<unsure/>tato mai, che intender poſ-<lb/>ſa<unsure/>, qual coſa ſieno in lor medeſime la gravità, <lb/>l’ elaſticità, ed altre t<unsure/>ali cagioni dì movimento, <lb/>e conoſcer l’ intrinſeca forma loro? </s>
  <s xml:id="echoid-s582" xml:space="preserve">Ariſtotele, <lb/>che impiegò quaſi tutta la ſua fiſica a voler ſco-<lb/>prire, qual foſſe la prima cagion del moto, <lb/>poco altro ſeppe dirne, ſe non che ella doveſſe <lb/>eſſer χκίνη<unsure/>τον τὶ κχὶ ὰὶδιον, un non ſo che immobile <lb/>e ſempite@@o; </s>
  <s xml:id="echoid-s583" xml:space="preserve">il che non baſtando a ſpiegar la na-<lb/>tura della coſa, baſtò a moſtrare fin dove giun-<lb/>ger poteſſe uno de’ maggiori ingegni di Grecia. <lb/></s>
  <s xml:id="echoid-s584" xml:space="preserve">Non biſogna dunque pretendere di conoſcere con <lb/>chiarezza, e diſtinzione queſte potenze, che pro-<lb/>ducono il movimento, o lo diſtruggono; </s>
  <s xml:id="echoid-s585" xml:space="preserve">ma con-<lb/>tentarſi di averne un’ idea confuſa, e diſtinguer-<lb/>le ſol per gli effetti. </s>
  <s xml:id="echoid-s586" xml:space="preserve">Io vi dirò bene un coſtume, <lb/>che ell’ hanno quaſi tutte, o più toſto tutte, da <lb/>cui, per quanto ſi dice, mai non partono; </s>
  <s xml:id="echoid-s587" xml:space="preserve">ed è, <lb/>che mai non produccno un movimento grandiſ-<lb/>ſimo tutto ad un tempo; </s>
  <s xml:id="echoid-s588" xml:space="preserve">ma dando al corpo pri-<lb/>ma un piccoliſſimo impulſo, gli danno, ove pe-<lb/>rò impedito non ſia, un moto piccoliſſimo; </s>
  <s xml:id="echoid-s589" xml:space="preserve">cui <lb/>poſcia accreſcono con un’ altro impulſo, e poi <lb/>con un’ altro, e poi con un’ altro, finchè lo ri-<lb/>ducono ad una inſigne grandezza; </s>
  <s xml:id="echoid-s590" xml:space="preserve">e la potenza è <lb/>molte volte così ſollecita, e pronta in dar tali <lb/>impulſi, che in poco di tempo riduce il moto ad <lb/>una grandezza maraviglioſa. </s>
  <s xml:id="echoid-s591" xml:space="preserve">Il che però non ſa-<lb/>rebbe vero, ſe il corpo non conſervaſſe tutti i <lb/>movimenti, che di mano in mano ha ricevuti.</s>
  <s xml:id="echoid-s592" xml:space="preserve">
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Biſogna dunque, che anche dopo l’ impulſo re-<lb/>ſti, e duri nel corpo il movimento, che eſſo ha <lb/>prodotto. </s>
  <s xml:id="echoid-s593" xml:space="preserve">E qui potete conoſcere l’ utilità dell’ <lb/>inerzia. </s>
  <s xml:id="echoid-s594" xml:space="preserve">E potete anche comprendere, che ogni <lb/>movimento è proporzionale alla ſomma di tutti <lb/>gl’ impulſi, che l’ han prodotto, eſſendo che ogni <lb/>impulſo produce un movimento a lui ſteſſo pro-<lb/>porzionale. </s>
  <s xml:id="echoid-s595" xml:space="preserve">Voi avete detto, ripigliò quívi il Si-<lb/>gnor Marcheſe, che la potenza col piccoliſſimo <lb/>ſuo impulſo produce nel corpo un movimento <lb/>piccoliſſimo, ove egli non fia impedito. </s>
  <s xml:id="echoid-s596" xml:space="preserve">Come <lb/>potrebbe egli eſl<unsure/>ere impedito? </s>
  <s xml:id="echoid-s597" xml:space="preserve">e che ne avverreb-<lb/>be, ſe foſſe? </s>
  <s xml:id="echoid-s598" xml:space="preserve">Potrebbe eſſere impedito, riſpoſi io, <lb/>per qualche reſiſtenza, cioè a dire per qualche <lb/>potenza, che lo diſtruggeſſe, così che nel tempo <lb/>ſteſſo che l’ una potenza con l’ impulſo ſuo de-<lb/>termina il corpo a moverſi, un’ altra potenza lo <lb/>determinaſſe con egual determinazione a non mo-<lb/>verſi; </s>
  <s xml:id="echoid-s599" xml:space="preserve">e allora il corpo ricevendo continvamente <lb/>gl’ impulſi di quella prima potenza, premerebbe <lb/>continuamente, tenendoſi ſempre pronto a moverſi <lb/>ſolo che la potenza contraria ſi levaſſe. </s>
  <s xml:id="echoid-s600" xml:space="preserve">Siccome <lb/>noi veggiamo in un ſaſſo, il quale, eſſendo po-<lb/>ſto ſopra una tavola, è ſtimolato continuamen-<lb/>te dalla ſua gravità a moverſi all’ in giù, ne pe-<lb/>rò ſi move, perchè l’ immobilità, e l’ impenetra-<lb/>bilità della tavola non gliel conſentono. </s>
  <s xml:id="echoid-s601" xml:space="preserve">Nè ceſſa <lb/>per ciò la gravità di ſtimolarlo co’ ſuoi impulſi; <lb/></s>
  <s xml:id="echoid-s602" xml:space="preserve">onde egli preme continvamente la tavola, et è <lb/>prcſto di cadere ſol che la tavola ſi levi via. </s>
  <s xml:id="echoid-s603" xml:space="preserve">La-
<pb o="39" file="0063" n="63" rhead="LIBRO I."/>
onde ſi vede, che la gravità, quanto a ſe, così <lb/>agiſce nel ſaſſo, qualor’ ſta fermo, come agireb-<lb/>be ſe egli cadeſſe, ſtimolandolo ſempre con gli <lb/>ſteſſi impulſi; </s>
  <s xml:id="echoid-s604" xml:space="preserve">ſe non che, ſtando egli fermo, ogni <lb/>impulſo della gravità paſſa in iſtante, ne laſcia <lb/>dopo ſe movimento alcuno, laddove cadendo, <lb/>paſſa bensi ogni impulſo, ma laſcia dopo di ſe <lb/>quel movimento, che ha prodotto; </s>
  <s xml:id="echoid-s605" xml:space="preserve">il qual mo-<lb/>vimento, reſtandoſi nel corpo, ſi uniſce poi con <lb/>gli altri, che vanno per gli altri impulſi ſoprav-<lb/>venendo. </s>
  <s xml:id="echoid-s606" xml:space="preserve">Eper ciò la preſſione, che oſſerviamo <lb/>nel ſaſſo, qualor ſta fermo, è ſempre l’ effetto <lb/>d’ un’ impulſo ſolo, la dove il movimento, che <lb/>egli acquiſta cadendo, è l’ effetto di molti. </s>
  <s xml:id="echoid-s607" xml:space="preserve">E <lb/>ſappiate, che ſono ſtati molti filoſofi, a quali è <lb/>piacciuto quando la potenza ſi adopra ſolo nel <lb/>premere ſenza produrre movimento niuno, chia-<lb/>marla forza morta. </s>
  <s xml:id="echoid-s608" xml:space="preserve">Se così è, diſſe ſubito il Si-<lb/>gnor Marcheſe, parea ben conveniente chiamar <lb/>forza viva la potenza, qualor produce il movi-<lb/>mento. </s>
  <s xml:id="echoid-s609" xml:space="preserve">Queſto hanno voluto fare i Carteſiani, <lb/>riſpoſi io allora; </s>
  <s xml:id="echoid-s610" xml:space="preserve">e perciò non ſono ſtati aſſai be-<lb/>ne inteſi dai Leibniziani, i quali ſi avevano già <lb/>uſurpato il nome di forza viva, e datogli altra <lb/>ſignificazione. </s>
  <s xml:id="echoid-s611" xml:space="preserve">Ma laſciando queſto da parte, e <lb/>tornando al propoſito, io dico eſſere coſtume del-<lb/>le potenze, qualor producono il movimento, pro-<lb/>durlo a poco a poco per mezzo di varj piccoliſ-<lb/>ſimi impulſi. </s>
  <s xml:id="echoid-s612" xml:space="preserve">E così m’ immagino, diſſe il Signor <lb/>Marcheſe, che anche le potenze, che lo diſtrug-
<pb o="40" file="0064" n="64" rhead="DELLA FORZA DE’ CORPI"/>
gono, lo diſtruggano a poco a poco; </s>
  <s xml:id="echoid-s613" xml:space="preserve">ne mai e-<lb/>ſtinguano un movimento grandiſſimo tutto ad un <lb/>tratto. </s>
  <s xml:id="echoid-s614" xml:space="preserve">Tanto più, riſpoſi io, che tra le potenze, <lb/>che diſtruggono il movimento, vogliono nume-<lb/>rarſi ancor quelle, che lo producono; </s>
  <s xml:id="echoid-s615" xml:space="preserve">e queſte <lb/>lo diſtruggono con quei medeſimi impulſi, con <lb/>cui lo produrrebbono, ſe non trovaſſer nel cor-<lb/>po un movimento contrario, cui debbon diſtrug-<lb/>gere. </s>
  <s xml:id="echoid-s616" xml:space="preserve">Un ſaſſo avendo ricevuto un movimento, <lb/>che lo porta all’ in sù, lo perde a poco a poco; <lb/></s>
  <s xml:id="echoid-s617" xml:space="preserve">ne ciò gl’ interviene per altro, ſe non perchè gl’ <lb/>impulſi continvi, che egli riceve dalla gravità, <lb/>e che lo ſpingono all’ ingiù, vanno eſtinguendo <lb/>prima una parte del movimento, che egli hà, e <lb/>poi un’ altra, e poi un’ altra, finchè l’ hanno eſtin-<lb/>to tutto; </s>
  <s xml:id="echoid-s618" xml:space="preserve">e intanto il ſaſſo ſegue tuttavia di mo-<lb/>verſi all’ in sù con quella parte di movimento, <lb/>che gli reſta, e che l’ inerzia gli va pur conſer-<lb/>vando fin che può perciocchè l’ inerzia accom-<lb/>pagna il corpo per tutto, o vada egli acquiſtan-<lb/>do il movimento o perdendolo. </s>
  <s xml:id="echoid-s619" xml:space="preserve">Queſta inerzia, <lb/>diſſe allora il Signor Marcheſe, che moſtra aver <lb/>tanta parte nel movimento de corpi, a me par <lb/>tuttavia (non ſo s’ io m’ inganni) che abbia pur <lb/>poca azione; </s>
  <s xml:id="echoid-s620" xml:space="preserve">imperocchè niuno accidente ne di <lb/>movimento ne di quiete produce nel corpo, ma <lb/>ſolo gli laſcia aver quello, che le potenze vi <lb/>hanno prodotto. </s>
  <s xml:id="echoid-s621" xml:space="preserve">Anzi niuna azione, riſpoſi, ſe <lb/>le ſuole attribuire: </s>
  <s xml:id="echoid-s622" xml:space="preserve">e quindi è, che io non l’ ho <lb/>poſta tra le potenze. </s>
  <s xml:id="echoid-s623" xml:space="preserve">E ſappiate, che Gioanni
<pb o="41" file="0065" n="65" rhead="LIBRO I."/>
Bernulli uomo nelle matematiche ſcienze, quant’ <lb/>altri mai foſſe, ſottile, e profondo, vuol ſimil-<lb/>mente, che nel moto equabile niuna azione ſi <lb/>adopri, per queſto appunto, che movendoſi un <lb/>corpo equabilmente, niuno accidente nuovo in <lb/>lui produceſi. </s>
  <s xml:id="echoid-s624" xml:space="preserve">Pure quantunque non ſia azion <lb/>niuna nell’ inerzia, e’ ci biſogna però intender ne <lb/>corpi una proprietà, per cui ſi conſervino in quel-<lb/>lo ſtato, in cui dalle potenze furono poſti; </s>
  <s xml:id="echoid-s625" xml:space="preserve">il che <lb/>ſe non foſſe, niuno effetto ci rimarrebbe delle <lb/>potenze. </s>
  <s xml:id="echoid-s626" xml:space="preserve">Avendo io fin qui detto, ſtette un po-<lb/>co penſoſo il Signor Marcheſe, poi ripigliò. </s>
  <s xml:id="echoid-s627" xml:space="preserve">Il <lb/>conſervare mi par pure, che ſia un’ agire; </s>
  <s xml:id="echoid-s628" xml:space="preserve">or ſe <lb/>dunque l’ inerzia conſerva il movimento e la <lb/>quiete ne corpi, come può dirſi, che ella non ab-<lb/>bia azion niuna, e non agiſca? </s>
  <s xml:id="echoid-s629" xml:space="preserve">Io credo, riſpo-<lb/>ſi, che il conſervar le coſe ſia un’ agire non men <lb/>che il produrle; </s>
  <s xml:id="echoid-s630" xml:space="preserve">ma credo ancora, che il conſer-<lb/>varle altro non ſia, che l’ azion di Dio, il quale <lb/>ſiccome nel produr le forme dei corpi vuol ſer-<lb/>virſi delle potenze create, e agir con loro, così <lb/>nel conſervarle vuole agir da ſe ſolo. </s>
  <s xml:id="echoid-s631" xml:space="preserve">E quindi <lb/>è, che a quella tal’ inerzia, che noi vogliamo pur <lb/>concepire, come una qualità de corpi, non reſta <lb/>da far nulla; </s>
  <s xml:id="echoid-s632" xml:space="preserve">e ſi riman ſenza azione. </s>
  <s xml:id="echoid-s633" xml:space="preserve">Ma che <lb/>giova entrare ora in tante ſottigliezze, e così po-<lb/>co neceſſarie al propoſito noſtro? </s>
  <s xml:id="echoid-s634" xml:space="preserve">per cui baſta <lb/>ſapere, che tutti gli effetti della natura ſi opera-<lb/>no per alcune potenze, che producon ne corpi la <lb/>velocità, la qual poi ſi conſerva in eſſi, che che
<pb o="42" file="0066" n="66" rhead="DELLA FORZA DE’ CORPI"/>
ne ſia la cagione, finchè venga per l’ azione di <lb/>altre potenze a diſtruggerſi; </s>
  <s xml:id="echoid-s635" xml:space="preserve">e per ci<unsure/>ò non avervi <lb/>parte alcuna quella forza viva, che vorrebbe oggi <lb/>introdurſi nel mondo e ſignoreggiare tutte le coſe. <lb/></s>
  <s xml:id="echoid-s636" xml:space="preserve">Et io potrei faciliſſimamente dimoſtrarvi una tal <lb/>verità, ſcorrendo ad uno ad uno tutti gli effetti <lb/>sì della gravità, come degli elaſtri; </s>
  <s xml:id="echoid-s637" xml:space="preserve">da cui ſo-<lb/>gliono principalmente trarſi gli argomenti a di-<lb/>moſtrare la forza viva. </s>
  <s xml:id="echoid-s638" xml:space="preserve">Ma voi potete far que-<lb/>ſto cammino facilmente per voi ſteſſo, ne vorre. </s>
  <s xml:id="echoid-s639" xml:space="preserve"><lb/>te darmi fatica ſenza biſogno - Voi giudicate di <lb/>me, diſſe allora il Signor Marcheſe, troppo gen-<lb/>tilmente; </s>
  <s xml:id="echoid-s640" xml:space="preserve">ma ſappiate però, che ſe volete ch’ io <lb/>ſcorra gli effetti o della gravità, o degli elaſtri, <lb/>io deſidero in queſto cammino non andar ſolo; </s>
  <s xml:id="echoid-s641" xml:space="preserve"><lb/>e voglio che almeno per qualche tratto di ſtrada <lb/>voi mi accompagniate. </s>
  <s xml:id="echoid-s642" xml:space="preserve">Che s’ egli mi è facile, <lb/>come dite, trovar la via per me medeſimo, mol-<lb/>to più mi dovrà eſſer facile, eſſendomi da voi mo-<lb/>ſtrata. </s>
  <s xml:id="echoid-s643" xml:space="preserve">Ma prima di entrare in cammino, vi pre-<lb/>go levarmi un dubbio, il qual mi è nato per le <lb/>ultime voſtre parole. </s>
  <s xml:id="echoid-s644" xml:space="preserve">Quale? </s>
  <s xml:id="echoid-s645" xml:space="preserve">diſſi io. </s>
  <s xml:id="echoid-s646" xml:space="preserve">Voi avete <lb/>detto, riſpoſe il Signor Marcheſe, che le potenze <lb/>producono la velocità, la qual poi ſi conſerva, fin-<lb/>chè ſia diſtrutta da altre potenze. </s>
  <s xml:id="echoid-s647" xml:space="preserve">Or non s’ era <lb/>egli ſempre detto, che le potenze producono il <lb/>movimento? </s>
  <s xml:id="echoid-s648" xml:space="preserve">e come dite ora, che producono la <lb/>velocità? </s>
  <s xml:id="echoid-s649" xml:space="preserve">E che altro è il movimento, riſpoſi io, <lb/>ſe non la velocità? </s>
  <s xml:id="echoid-s650" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s651" xml:space="preserve">diſſe il Signor Mar-<lb/>cheſe; </s>
  <s xml:id="echoid-s652" xml:space="preserve">non ho io ſempre udito dire, che il mo-
<pb o="43" file="0067" n="67" rhead="LIBRO I."/>
vimento è la maſſa del corpo moltiplicata per la <lb/>velocità? </s>
  <s xml:id="echoid-s653" xml:space="preserve">Si certo; </s>
  <s xml:id="echoid-s654" xml:space="preserve">riſpoſi; </s>
  <s xml:id="echoid-s655" xml:space="preserve">cioè la velocità mol-<lb/>tiplicata per la maſſa. </s>
  <s xml:id="echoid-s656" xml:space="preserve">Veriſſimo, diſſe il Signor <lb/>Marcheſe. </s>
  <s xml:id="echoid-s657" xml:space="preserve">Cioè, ripigliai io, la velocità preſa <lb/>tante volte, quante ſono le parti, ovvero gli <lb/>elementi della maſſa, così che ſe le parti della maſ-<lb/>ſa ſon due, il movimento ſarà la velocità preſa due <lb/>volte; </s>
  <s xml:id="echoid-s658" xml:space="preserve">ſe le parti della maſſa ſon cinque, o dieci, <lb/>o venti, il movimento ſarà la veloci<unsure/>tà preſa cin-<lb/>que, o dieci, o venti volte. </s>
  <s xml:id="echoid-s659" xml:space="preserve">Non è egli così? </s>
  <s xml:id="echoid-s660" xml:space="preserve">Co-<lb/>sì par, che ſia, riſpoſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s661" xml:space="preserve">Dun-<lb/>que il movimento, ſoggiunſi io, non è altro che <lb/>la velocità, la qual ſi prende più volte o meno; <lb/></s>
  <s xml:id="echoid-s662" xml:space="preserve">ma quantunque volte ſi prenda, non è mai altro, <lb/>che velocità. </s>
  <s xml:id="echoid-s663" xml:space="preserve">Ma non ſi dice egli talvolta, ripi-<lb/>gliò allora il Signor Marcheſe, che avendo due <lb/>corpi lo ſteſſo movimento non hanno però la ve-<lb/>locità ſteſſa? </s>
  <s xml:id="echoid-s664" xml:space="preserve">Et io dico, riſpoſi, che avendo lo <lb/>ſteſſo movimento, avranno anche ſempre la ſteſ-<lb/>ſa velocità. </s>
  <s xml:id="echoid-s665" xml:space="preserve">Che è queſto che voi dite? </s>
  <s xml:id="echoid-s666" xml:space="preserve">riſpoſe il <lb/>Signor Marcheſe. </s>
  <s xml:id="echoid-s667" xml:space="preserve">Se un corpo avrà maſſa 1, ve-<lb/>locità 2, et un’ altro maſſa 2, velocità 1; </s>
  <s xml:id="echoid-s668" xml:space="preserve">avran-<lb/>no pure amendue lo ſteſſo movimento; </s>
  <s xml:id="echoid-s669" xml:space="preserve">e però il <lb/>primo avrà due gradi di veloeità, il ſecondo ne <lb/>avrà uno. </s>
  <s xml:id="echoid-s670" xml:space="preserve">Egli è il vero, riſpoſi io, che il l<unsure/>econ-<lb/>do avrà un grado di velocità, ma eſſendo la maſ-<lb/>ſa compoſta di due parti (che per queſto l’ave-<lb/>te detta 2] ſarà ripetuto in ognuna di eſſe par-<lb/>ti, e così ſarà non un grado ſolo di velocità, ma <lb/>due. </s>
  <s xml:id="echoid-s671" xml:space="preserve">E la cauſa, che avrà moſſo i due corpi, do-
<pb o="44" file="0068" n="68" rhead="DELLA FORZA DE’ CORPI"/>
rà aver prodotto due gradi di velocità così nel <lb/>primo, come nel ſecondo; </s>
  <s xml:id="echoid-s672" xml:space="preserve">ſe non che nel ſecon-<lb/>do queſti due gradi di velocità ſi diſtribuiranno <lb/>alle due parti della maſſa, toccandone uno a cia-<lb/>ſcuna; </s>
  <s xml:id="echoid-s673" xml:space="preserve">nel primo ſtaranno raccolti amendue nel-<lb/>la ſteſſa maſſa 1. </s>
  <s xml:id="echoid-s674" xml:space="preserve">Intendo, diſſe allora il Signor <lb/>Marcheſe, che nel ſecondo corpo ſono due gra-<lb/>di di velocità; </s>
  <s xml:id="echoid-s675" xml:space="preserve">ma ſi dice eſſervene un folo, non <lb/>penſandoſi al numero delle parti, onde la maſſa <lb/>è compoſta. </s>
  <s xml:id="echoid-s676" xml:space="preserve">Ne è neceſſario ſempre il penſarvi, <lb/>riſpoſi io. </s>
  <s xml:id="echoid-s677" xml:space="preserve">Vedete, diſſe il Signor Marcheſe, quanto <lb/>piccola coſa mi avea conturbato. </s>
  <s xml:id="echoid-s678" xml:space="preserve">E vorrete voi <lb/>laſciarmi entrar ſolo, e ſenza accompagnarmi, <lb/>nella conſiderazione di quegli effetti, che la gravità e <lb/>l’ elaſticità producono? </s>
  <s xml:id="echoid-s679" xml:space="preserve">i quali quanto dovranno <lb/>eſſere di ci<unsure/>ò, che fino ad ora abbiamo detto, più <lb/>difficili! Voi, diſſi, gli fate difficili col temerli; </s>
  <s xml:id="echoid-s680" xml:space="preserve">ma <lb/>molto ſacili comincieranno ad eſſervi, ſe credere-<lb/>te, che lo ſieno. </s>
  <s xml:id="echoid-s681" xml:space="preserve">E così interviene di tutte le coſe. <lb/></s>
  <s xml:id="echoid-s682" xml:space="preserve">Di fatti qual coſa più facile, che intendere, per <lb/>quanto appartiene al caſo noſtro, la gravità? </s>
  <s xml:id="echoid-s683" xml:space="preserve">la <lb/>quaIe avrete compreſo abbaſtanza, qualora in-<lb/>tendiate una potenza, la qual riſegga nel corpo e <lb/>non ceſſi mai di ſtimolarlo con altri ed altri impul-<lb/>ſi; </s>
  <s xml:id="echoid-s684" xml:space="preserve">così veramente, che queſti impulſi ſieno tutti <lb/>tra loro eguali, e diſtanti ſempre l’ uno dall’ altro <lb/>dello ſteſſo intervallo di tempo; </s>
  <s xml:id="echoid-s685" xml:space="preserve">il qual interval-<lb/>lo voi potete fingervelo di qualunque picciolezza <lb/>a piacer voſtro; </s>
  <s xml:id="echoid-s686" xml:space="preserve">anche infinita, ſe vi aggrada. </s>
  <s xml:id="echoid-s687" xml:space="preserve">In-<lb/>teſa per tal modo la gravi<unsure/>tà, comprenderete leg-
<pb o="45" file="0069" n="69" rhead="LIBRO I."/>
germente, che tanto maggiore ſarà il numero de-<lb/>gl’ impulſi, quanto il tempo ſarà più lungo; </s>
  <s xml:id="echoid-s688" xml:space="preserve">e <lb/>perciocchè la velocità, che il corpo acquiſta in <lb/>cadendo, è anch’ eſſa tanto maggiore quanto mag-<lb/>giore è il numero degl’ impulſi, che nel tempo <lb/>della caduta l’ hanno prodotta, vedete ſubito, la <lb/>velocità dovere eſſere tanto maggiore, quanto più <lb/>lungo è ſtato il tempo della caduta, ci<unsure/>oè dover’ <lb/>eſſere proporzionale al tempo. </s>
  <s xml:id="echoid-s689" xml:space="preserve">Ed eccovi quella <lb/>legge di gravità tanto illuſtre e famoſa, che chia-<lb/>mano legge del tempo. </s>
  <s xml:id="echoid-s690" xml:space="preserve">E con pochiſſima fatica, <lb/>ſe aveſſi penna, e calamajo, potrei dimoſtrarvi <lb/>anche l’ altra, che chiamano legge dello ſpazio. <lb/></s>
  <s xml:id="echoid-s691" xml:space="preserve">E queſte ſono le leggi principaliſſime, onde i <lb/>meccanici hanno poi raccolte tutte le altre, e fat-<lb/>tone i<unsure/> volumi. </s>
  <s xml:id="echoid-s692" xml:space="preserve">Dicendo io queſte ultime parole, il <lb/>Signor Marcheſe ebbe toſto tratto fuori una pen-<lb/>na, e un picciolo calamajo, che ſempre avea ſe-<lb/>co, con un foglio di carta; </s>
  <s xml:id="echoid-s693" xml:space="preserve">ed ecco, diſſe, chc <lb/>altro più non vi manca, ſe non che vogliate ſo-<lb/>ſtenere quella pochiſſima fatica, che avete det-<lb/>to; </s>
  <s xml:id="echoid-s694" xml:space="preserve">la quale ſe è tanto poca, non dovrete negar <lb/>di prenderla per amor mio; </s>
  <s xml:id="echoid-s695" xml:space="preserve">perchè ſebbene io ho <lb/>udito dire di queſte leggi altre volte, mi piace <lb/>però di udirne anche ora da voi, maſſimamente <lb/>per vedere, ſe eſſe laſcino alcun luogo alla for-<lb/>za viva. </s>
  <s xml:id="echoid-s696" xml:space="preserve">Ma perchè non ci ſederemo noi ſotto <lb/>quell’ albero, il qual pare, che ci inviti con l’ <lb/>ombra? </s>
  <s xml:id="echoid-s697" xml:space="preserve">E qui moſtrommi con la mano un belliſ-<lb/>ſimo, e frondoſo albero, che poco lungi era;</s>
  <s xml:id="echoid-s698" xml:space="preserve">
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al qual mirando, riſpoſi: </s>
  <s xml:id="echoid-s699" xml:space="preserve">come v. </s>
  <s xml:id="echoid-s700" xml:space="preserve">piace; </s>
  <s xml:id="echoid-s701" xml:space="preserve">e co-<lb/>minciai accoſtarmivi. </s>
  <s xml:id="echoid-s702" xml:space="preserve">Et egli ſeguendomi, queſt’ <lb/>albero, diſſe, mi torna alla memoria il plata-<lb/>no famoſo di Socrate, il qual parve a Cicerone, <lb/>che più che per l’ acqua, che lo irrigava, foſſe <lb/>creſciuto per l’ orazion di Platone. </s>
  <s xml:id="echoid-s703" xml:space="preserve">Ben dovrete, <lb/>riſpoſi io allora, dimenticarvi di quel platano, <lb/>udendo me. </s>
  <s xml:id="echoid-s704" xml:space="preserve">Così dicendo, giunti a piè dell’ al-<lb/>bero, mi poſi io prima a ſedere ſu l’ erba, indi <lb/>il Signor Marcheſe vicin di me. </s>
  <s xml:id="echoid-s705" xml:space="preserve">Et io preſa la <lb/>penna in mano, diſegnai toſto ſopra il foglio, <lb/>che egli mi recò, una figura, la quale chiamai <lb/>prima, avviſando, che alcun’ altra doveſſe aggiun-<lb/>gerleſi. </s>
  <s xml:id="echoid-s706" xml:space="preserve">Indi guardando tutti e due nella medeſi-<lb/>ma, io cominciai. </s>
  <s xml:id="echoid-s707" xml:space="preserve">Fate ragione che il tempo, in <lb/>
<anchor type="note" xlink:label="note-0070-01a" xlink:href="note-0070-01"/>
cui cade un corpo, movendo dalla quiete, e ve-<lb/>nendo giù liberamente, ſia la linea AB, la qual <lb/>diviſa nelle parti A<emph style="it">b</emph>, <emph style="it">bd</emph>, <emph style="it">df</emph>&amp;</s>
  <s xml:id="echoid-s708" xml:space="preserve">c. </s>
  <s xml:id="echoid-s709" xml:space="preserve">tutte tra loro egua-<lb/>li, e di quella maggior piccolezza, che a voi pia-<lb/>cerà, ſaranno queſte i piccioliſſimi intervá<unsure/>lli, ov-<lb/>vero tempe@ti, di cui tutto il tempo AB ſi com-<lb/>pone. </s>
  <s xml:id="echoid-s710" xml:space="preserve">Riceva ora il corpo ſul principio del tem-<lb/>petto A<emph style="it">b</emph> un’ impulſo dalla gravità; </s>
  <s xml:id="echoid-s711" xml:space="preserve">et eſſendo <lb/>libero e ſpedito a moverſi, ne acquiſti una pic-<lb/>coliſſima velocità, e ſia queſta eſpreſſa per la li-<lb/>nea A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s712" xml:space="preserve">Egli è certo, che ritenendo il corpo, e <lb/>conſervando per tutto il tempetto A<emph style="it">b</emph> la velocità <lb/>acquiſtata A<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s713" xml:space="preserve">ſe noi faremo il rettangolo <emph style="it">br</emph>, po-<lb/>tremo far ragione, che queſto rettangolo <emph style="it">br</emph> ſia lo <lb/>ſpazietto, che il corpo verrà ſcorrendo nel tem-
<pb o="47" file="0071" n="71" rhead="LIBRO I."/>
po A<emph style="it">b</emph>; </s>
  <s xml:id="echoid-s714" xml:space="preserve">che ben ſapete, lo ſpazio, che un corpo <lb/>ſcorre, eſsere la velocità moltiplicata per lo tem-<lb/>po. </s>
  <s xml:id="echoid-s715" xml:space="preserve">Così è, diſse il Signor Marcheſe, poichè eſ-<lb/>ſendo <emph style="it">s</emph> lo ſpazio, il tempo <emph style="it">t</emph>, la velocità ſarà {<emph style="it">s/t</emph>} <lb/>che moltiplicata per <emph style="it">t</emph> rende <emph style="it">s</emph>. </s>
  <s xml:id="echoid-s716" xml:space="preserve">E per ciò, ripigliai <lb/>io, il rettangoletto <emph style="it">br</emph>, che pur ſi fa moltiplican-<lb/>do la velocità A<emph style="it">r</emph> per lo tempetto A<emph style="it">b</emph>, eſprime-<lb/>rà lo ſpazio ſcorſo in eſso tempetto A<emph style="it">b</emph>- Vedete <lb/>dunque, che come il corpo ſarà caduto per lo <lb/>piccoliſsimo tempo A<emph style="it">b</emph>, la velocità, che egli av-<lb/>rà, ſarà <emph style="it">bc</emph> eguale ad A<emph style="it">r</emph>, e lo ſpazio fcorſo ſarà <lb/>il rettangoletto <emph style="it">br</emph>. </s>
  <s xml:id="echoid-s717" xml:space="preserve">Ma, ſcorſo lo ſpazio <emph style="it">br</emph>, ri-<lb/>ceverà il corpo ſul principio del tempetto <emph style="it">bd</emph> un’ <lb/>altro impulſo dalla gravità eguale a quel primo, <lb/>laonde ritenendo la velocità <emph style="it">bc</emph>, che già avea, ne <lb/>acquiſterà un’ altra <emph style="it">ct</emph> ad eſsa eguale; </s>
  <s xml:id="echoid-s718" xml:space="preserve">e verrà nell’ <lb/>intervallo <emph style="it">bd</emph> a ſcorrere con la velocità <emph style="it">bt</emph> un’ al-<lb/>tro ſpazietto, che ſarà il rettangolo <emph style="it">dt</emph>. </s>
  <s xml:id="echoid-s719" xml:space="preserve">E qui <lb/>pur vedete, che eſsendo il corpo caduto per lo <lb/>piccioliſſimo tempo A<emph style="it">d</emph>, la velocità, che egli <lb/>avrà, ſarà <emph style="it">de</emph> eguale a <emph style="it">bt</emph>; </s>
  <s xml:id="echoid-s720" xml:space="preserve">e lo ſpazio ſcorſo <lb/>ſarà la ſomma de due rettangoli <emph style="it">br</emph>, <emph style="it">dt</emph>. </s>
  <s xml:id="echoid-s721" xml:space="preserve">E ſe <lb/>all’ iſteſso modo proſeguirete, faccendo a cia-<lb/>ſcun tempetto il ſuo rettangolo corriſpondente, <lb/>facilmente ritroverete, che eſsendo il corpo <lb/>caduto per qualſiſia aſſegnabil tempo A<emph style="it">m</emph>, et <lb/>eſſendo <emph style="it">mo</emph> il rettangolo corriſpondente all’ ul-<lb/>timo tempetto, la velocità del corpo ſarà <emph style="it">mn</emph> <lb/>lato del rettangolo <emph style="it">mo</emph>, e lo ſpazio ſcorſo ſarà
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la ſomma ditutti i rettangoli ad <emph style="it">mn</emph> ſovrappoſti. </s>
  <s xml:id="echoid-s722" xml:space="preserve">Ne <lb/>men facilmente troverete, che tutte le linee <emph style="it">bc, de</emph>, <lb/>e le altre fino ad <emph style="it">mn</emph>, eſprimenti le velocità, an-<lb/>dranno a terminarſi in una linea retta <emph style="it">An</emph>, la qua-<lb/>le chiuderà il triangolo <emph style="it">Anm</emph>, e che queſto trian-<lb/>golo non ſarà differente dalla ſomma dei deſcritti <lb/>rettangoli, ſe non per li ſpazietti <emph style="it">urc, cte</emph> &amp;</s>
  <s xml:id="echoid-s723" xml:space="preserve">c.</s>
  <s xml:id="echoid-s724" xml:space="preserve">, i <lb/>quali eſſendo tutti inſieme d’ un’ eſtrema, et infi-<lb/>nita piccolezza riſpetto a tutto il triangolo, e po-<lb/>tendo per ciò traſcurarſi et averſi per nulla; </s>
  <s xml:id="echoid-s725" xml:space="preserve">potrà <lb/>anche dirſi il triangolo <emph style="it">Anm</emph> eſſere eguale alla ſom-<lb/>ma dei deſcritti rettangoli, et eſprimere lo ſpazio <lb/>ſcorſo ne più ne meno. </s>
  <s xml:id="echoid-s726" xml:space="preserve">E per l’ iſteſſa ragione ſe <lb/>voi condurrete una linea BC parallela ad <emph style="it">mn</emph>, la <lb/>qual tagli la linea A<emph style="it">n</emph> prodotta fino in C, voi tro-<lb/>verete, che come il corpo ſarà caduto per tutto <lb/>il tempo AB, la velocità, che egli avrà, ſarà <lb/>BC, e lo ſpazio ſcorſo ſarà il triangolo ACB. <lb/></s>
  <s xml:id="echoid-s727" xml:space="preserve">Sono io ſtato fin qui aſſai chiaro, o deſiderate, <lb/>che io mi sforzi di eſſerlo anche più? </s>
  <s xml:id="echoid-s728" xml:space="preserve">Niente <lb/>più; </s>
  <s xml:id="echoid-s729" xml:space="preserve">riſpoſe il Signor Marcheſe; </s>
  <s xml:id="echoid-s730" xml:space="preserve">e già veggo che <lb/>eſlendo le due linee A<emph style="it">m</emph>, AB proporzionali alle <lb/>due <emph style="it">mn</emph>, BC, et eſſendo quelle i tempi, e que-<lb/>ſte le velocità, ne ſegue, che i tempi ſieno propor-<lb/>zionali alle velocità, che è la legge, che avete det-<lb/>ta, del tempo. </s>
  <s xml:id="echoid-s731" xml:space="preserve">Or quale è quella, che dicevate del-<lb/>lo ſpazio? </s>
  <s xml:id="echoid-s732" xml:space="preserve">Queſta; </s>
  <s xml:id="echoid-s733" xml:space="preserve">riſpoſi, che gli ſpazj ſcorſi <lb/>ſono proporzionali ai quadrati delle velocità. </s>
  <s xml:id="echoid-s734" xml:space="preserve">Oh <lb/>queſto ancora, diſſe il Signor Marcheſe, veggo <lb/>aſſai bene; </s>
  <s xml:id="echoid-s735" xml:space="preserve">perciocchè gli ſpazj ſcorſi ſono i triangoli
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A<emph style="it">nm</emph>, ACB; </s>
  <s xml:id="echoid-s736" xml:space="preserve">e queſti appunto ſono proporziona-<lb/>li ai quadrati delle linee <emph style="it">mn</emph>, BC. </s>
  <s xml:id="echoid-s737" xml:space="preserve">Voi, diſſi io al-<lb/>lora, avete inteſo le due precipue leggi della gra-<lb/>vità, da cui ſi derivano tutte le altre. </s>
  <s xml:id="echoid-s738" xml:space="preserve">Or vi par’ <lb/>egli, che v’ abbia alcuna parte la forza viva? </s>
  <s xml:id="echoid-s739" xml:space="preserve">A <lb/>me par, diſſe il Signor Marcheſe, che la potenza <lb/>producitrice del movimento, e l’ inerzia vi faccia-<lb/>no ogni coſa; </s>
  <s xml:id="echoid-s740" xml:space="preserve">poichè ſe la gravità nel principio d’ <lb/>ogni tempetto produce un picciolo movimento, e <lb/>l’ inerzia poi lo conſerva, ſeguir ne dee tutto quel-<lb/>lo, che abbiamo detto; </s>
  <s xml:id="echoid-s741" xml:space="preserve">ne potrebbe introdurviſi <lb/>veruna altra forza ſe non per corteſia. </s>
  <s xml:id="echoid-s742" xml:space="preserve">Sebbene io <lb/>ho ſentito dire, che i Leibniziani, introduttori <lb/>della forza viva, non tanto ſi fermano a conſide-<lb/>rare il corpo, allorchè cade, ma molto più, quan-<lb/>do ſale, dicendo che ſe egli venga ſpinto all’ insù <lb/>con quella velocità, che avea, cadendo, acquiſ-<lb/>tata, riconduceſi alla ſteſſa altezza nello ſteſſo tem-<lb/>po. </s>
  <s xml:id="echoid-s743" xml:space="preserve">Ma prima che noi entriamo a dir di ciò, pia-<lb/>cemi intender da voi alcune coſe intorno la ca-<lb/>duta, non perchè io non ne abbia inteſo quanto <lb/>era d’ uopo al propoſito noſtro, ma perchè deſi-<lb/>dero intenderne anche più. </s>
  <s xml:id="echoid-s744" xml:space="preserve">E ſe noi ci allonta-<lb/>niamo alcun poco dalla quiſtione della forza vi-<lb/>va, ciò che è a noi? </s>
  <s xml:id="echoid-s745" xml:space="preserve">potremo ritornarvi, come <lb/>vorremo. </s>
  <s xml:id="echoid-s746" xml:space="preserve">Ne è neceſſario, riſpoſi io, che il vo <lb/>gliamo; </s>
  <s xml:id="echoid-s747" xml:space="preserve">perchè già ne abbiamo detto, quanto a <lb/>voi può baſtare, e dee. </s>
  <s xml:id="echoid-s748" xml:space="preserve">Di queſto anche, riſpo. <lb/></s>
  <s xml:id="echoid-s749" xml:space="preserve">ſe il Signor Marcheſe, diremo poi. </s>
  <s xml:id="echoid-s750" xml:space="preserve">Intanto io vi <lb/>prego levarmi un dubio. </s>
  <s xml:id="echoid-s751" xml:space="preserve">Voi avete detto, che
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la gravità ſul principio di ciaſcun tempetto da. <lb/></s>
  <s xml:id="echoid-s752" xml:space="preserve">al corpo un certo impulſo, faccendo poi ragione, <lb/>che in tutto quel tempetto non glie ne dia verun’ <lb/>altro; </s>
  <s xml:id="echoid-s753" xml:space="preserve">con che venite a rendere l’ azione della <lb/>gravità non già perpetua, e continvata, come ve-<lb/>ramente è, ma diſcontinvata ed interrotta per va-<lb/>rj intervalli. </s>
  <s xml:id="echoid-s754" xml:space="preserve">Io non dubito, che queſta non ſia.</s>
  <s xml:id="echoid-s755" xml:space="preserve"><unsure/> <lb/>una di quelle ſuppoſizioni falſe, che ben uſando-<lb/>le ne conducono al vero; </s>
  <s xml:id="echoid-s756" xml:space="preserve">e così voi ne avete <lb/>comodiſſimamente dedotte le leggi della gravità. </s>
  <s xml:id="echoid-s757" xml:space="preserve"><lb/>Ma perchè non potremmo noi dedurre le iſteſſe <lb/>leggi dall’ azione o vero dall’ impulſo perpetuo <lb/>e continvato, e non aver tanto obbligo alla fal-<lb/>ſità? </s>
  <s xml:id="echoid-s758" xml:space="preserve">E come vorreſte voi, riſpoſi io, dalla con-<lb/>tinvazione non mai interrotta dell’ impulſo de-<lb/>durre, che le velocità doveſſero eſſere proporzio-<lb/>nali a i tempi? </s>
  <s xml:id="echoid-s759" xml:space="preserve">Perchè parmi, riſpoſe il Signor <lb/>Marcheſe, che eſſendo l’ impulſo ſempre eguale, <lb/>come è, ſe farà anche continvato per tutto il tem-<lb/>po, dovrà la ſomma degl’ impulſi eſſere tanto <lb/>maggiore, quanto maggiore ſarà il tempo; </s>
  <s xml:id="echoid-s760" xml:space="preserve">e poi-<lb/>chè la velocità è proporzionale alla ſomma degl’ <lb/>impulſi, dovrà eſſere ſimilmente proporzionale <lb/>al tempo. </s>
  <s xml:id="echoid-s761" xml:space="preserve">Dimoſtrata così la legge del tempo, <lb/>non ſarà forſe difficile dimoſtrare poi anche l’ al-<lb/>tra dello ſpazio. </s>
  <s xml:id="echoid-s762" xml:space="preserve">Io vorrei, diſſi allora, che voi <lb/>mi ſpiegaſte diligentemente quello, che vogliate <lb/>intendere, qualor dite: </s>
  <s xml:id="echoid-s763" xml:space="preserve">la ſomma degl’ impulſi; </s>
  <s xml:id="echoid-s764" xml:space="preserve"><lb/>o più toſto quali intendiate che ſieno queſti im-<lb/>pulſi ad uno ad uno, di cui raccogliete la ſom-
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ma. </s>
  <s xml:id="echoid-s765" xml:space="preserve">Ma quali intendete voi che ſieno, riſpoſe <lb/>allora il Signor Marcheſe, voi che gli diſgiunge-<lb/>te l’ un dall’ altro con quegl’ intervalli così ſtra-<lb/>namente piccoli? </s>
  <s xml:id="echoid-s766" xml:space="preserve">Io intendo, riſpoſi, che ſieno i-<lb/>ſtantanei. </s>
  <s xml:id="echoid-s767" xml:space="preserve">Or bene, diſſe il Signor Marcheſe, fa-<lb/>te dunque ragione, che io intenda quello ſteſſo; <lb/></s>
  <s xml:id="echoid-s768" xml:space="preserve">ſe non che voi tra l’ uno, e l’ altro impulſo frap-<lb/>ponete alcun tempetto, io non ne frappongo niu-<lb/>no; </s>
  <s xml:id="echoid-s769" xml:space="preserve">e voglio, che ad ogni punto di tempo cor-<lb/>riſponda un impulſo, così che tanti ſieno gl’ im-<lb/>pulſi, quanti ſono i punti del tempo; </s>
  <s xml:id="echoid-s770" xml:space="preserve">il che po-<lb/>ſto biſognerà pur dire, che quanto è maggiore <lb/>il tempo, tanto debba eſſer maggiore la ſomma <lb/>degl’ impulſi, e tanto anche maggiore la veloci-<lb/>tà- Ma non vi accorgete voi, Signor Marcheſe, <lb/>riſpoſi io allora, che in coteſto diſcorſo voi pre-<lb/>ſupponete, che il tempo ſia compoſto di tanti <lb/>punti, il che è impoſſibile; </s>
  <s xml:id="echoid-s771" xml:space="preserve">e che l’ impulſo con-<lb/>tinvato della gravità ſia compoſto eſſo pure di <lb/>tanti impulſi iſtantanei, il che è impoſſibile egual-<lb/>mente, perciocchè il continvo non può compor-<lb/>ſi di coſe non continve? </s>
  <s xml:id="echoid-s772" xml:space="preserve">Il che veggiamo anche <lb/>nelle Jinee, le quali, ſe vogliamo comporle di <lb/>punti, in quanti errori non ci inducono! Chi è, <lb/>che non poſſa in un quadrato trovar tanti pun-<lb/>ti nell’ lato, quanti ne trova nella diagonale, ſo-<lb/>lo che per ogni punto della diagonale conduca <lb/>una linea perpendicolare al lato? </s>
  <s xml:id="echoid-s773" xml:space="preserve">di che ſe uno <lb/>raccoglieſſe, che la diagonale et il lato doveſſero <lb/>eſſere tra loro eguali, come quelli, che ſi compon-<unsure/>
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gono d’ un’ egual numero di punti, incorrereb-<lb/>be in un’ errore grandiſſimo. </s>
  <s xml:id="echoid-s774" xml:space="preserve">Ne è meno peri-<lb/>coloſo il voſtro argomento, in cui riſolven-<lb/>do il tempo in tanti punti, e l’ impulſo della <lb/>gravità, che pur volete eſſer continvo, in tanti <lb/>impulſi iſtantanei, volete quello eſſere eguale ov-<lb/>vero proporzionale a queſto, poichè quanti pun-<lb/>ti trovate in quello, tanti impulſi iſtantanei tro-<lb/>vate in queſto. </s>
  <s xml:id="echoid-s775" xml:space="preserve">Ma laſciando da parte ogni ſotti-<lb/>lità, io vi domando: </s>
  <s xml:id="echoid-s776" xml:space="preserve">qualora un corpo cade per <lb/>qualche tempo, e cadendo ſcorre un qualche <lb/>ſpazio, l’ azione della gravità, cioè l’ impulſo, <lb/>ſiccome è continvata per tutto quel tempo, non <lb/>è ella altresì continvata per tutto quello ſpazio? <lb/></s>
  <s xml:id="echoid-s777" xml:space="preserve">ne però dirà alcuno, che ſia ella proporzionale <lb/>allo ſpazio, ne che produca velocità allo ſpazio <lb/>proporzionale. </s>
  <s xml:id="echoid-s778" xml:space="preserve">Come dunque l’ impulſo, eſſen-<lb/>do continvato per lo ſpazio, non produce però <lb/>una velocità proporzionale allo ſpazio; </s>
  <s xml:id="echoid-s779" xml:space="preserve">perchè <lb/>non potrebbe eſſere continvato per lo tempo, e <lb/>non produrre per ciò una velocità proporzionale <lb/>al tempo? </s>
  <s xml:id="echoid-s780" xml:space="preserve">onde ſi vede, quanto poco vaglia la. </s>
  <s xml:id="echoid-s781" xml:space="preserve"><lb/>continvazione a dimoſtrare una tal legge. </s>
  <s xml:id="echoid-s782" xml:space="preserve">La qual <lb/>però ſi raccoglierebbe beniſſimo, ſupponendo, <lb/>che l’ azione della gravità foſſe non già continva, <lb/>ma interrotta per alcuni piccoliſſimi, et inſenſi-<lb/>bili intervalli, come ſopra ho detto. </s>
  <s xml:id="echoid-s783" xml:space="preserve">Noi dunque, <lb/>diſſe allora il Signor Marcheſe, dovremo la co-<lb/>noſcenza delle leggi della gravità ad una ſuppo-<lb/>ſizion falſa. </s>
  <s xml:id="echoid-s784" xml:space="preserve">Anzi la dovremo, riſpoſi io, all’ e-
<pb o="53" file="0077" n="77" rhead="Libro I."/>
ſperienza, la quale ha poi fatto luogo alla ſuppoſi-<lb/>zione; </s>
  <s xml:id="echoid-s785" xml:space="preserve">perciocchè l’ eſperienza ci ha inſegnato, <lb/>che i corpi cadendo per alcun tempo ſenſibile ac-<lb/>quiſtano ſempre una velocità proporzionale ad <lb/>eſſo tempo; </s>
  <s xml:id="echoid-s786" xml:space="preserve">è poi venuta la ſuppoſizione a ren-<lb/>der ragione di ciò, che l’ eſperienza ci aveva in-<lb/>ſegnato ſenza ragione. </s>
  <s xml:id="echoid-s787" xml:space="preserve">La qual ſuppoſizione ſe <lb/>nulla ha in ſe di aſſurdo, ſe è comodiſſima, ſe <lb/>conſentanea all’ eſperienza ſteſſa, io non ſo già, <lb/>perchè voi vi abbiate fitto nell’ animo, che debba <lb/>a tutti i modi eſſer falſa. </s>
  <s xml:id="echoid-s788" xml:space="preserve">Oh diremo noi, riſpo-<lb/>ſe allora il Signor Marcheſe, che l’ azione della <lb/>gravità ſia realmente interrotta per alcuni inter-<lb/>valli di tempo; </s>
  <s xml:id="echoid-s789" xml:space="preserve">onde biſognerebbe anche dire, <lb/>che i corpi per alcuni intervalli di tempo non <lb/>foſſero attualmente gravi? </s>
  <s xml:id="echoid-s790" xml:space="preserve">Io non veggo, riſpo-<lb/>ſi allora, qual noja doveſſe recarne il dir ciò, qua-<lb/>lunque volta foſſero quegl’ intervalli piccioliſſi-<lb/>mi et inſenſibili. </s>
  <s xml:id="echoid-s791" xml:space="preserve">Perciocchè, eſſendo tali, laſcie-<lb/>rebbono parer continva l’ azione della gravità, <lb/>quantunque non foſſe; </s>
  <s xml:id="echoid-s792" xml:space="preserve">e dove paja continva, che <lb/>fa per gli uomini, che lo ſia? </s>
  <s xml:id="echoid-s793" xml:space="preserve">i quali veggono il <lb/>mondo non già tale, quale egli è, ma quale ap-<lb/>pariſce, e ſe ne contentano. </s>
  <s xml:id="echoid-s794" xml:space="preserve">Credete voi ciò, ri-<lb/>ſpoſe allora il Signor Marcheſe, o fate viſta? </s>
  <s xml:id="echoid-s795" xml:space="preserve">per-<lb/>chè io ho pur ſempre udito dire, che l’azione del-<lb/>la gravità ne corpi ſia continva. </s>
  <s xml:id="echoid-s796" xml:space="preserve">Et io pure, ri-<lb/>ſpoſi ſorridendo, il dirò perchè continve ſoglion <lb/>dirſi tutte le coſe, che ſono tali, o pajono; </s>
  <s xml:id="echoid-s797" xml:space="preserve">ma <lb/>il filoſofo non dee laſciarſi portare dall’ uſo del
<pb o="54" file="0078" n="78" rhead="Della forza de’ corpi"/>
parlar comune, ne aver per continve tutte le co-<lb/>ſe, che il volgo dice eſſer tali. </s>
  <s xml:id="echoid-s798" xml:space="preserve">Vedete, quante <lb/>n’ ha in natura, le quali per la piccolezza, e in-<lb/>ſenſibilità de frappoſti intervalli moſtran’ eſſer con-<lb/>tinve, e non ſono. </s>
  <s xml:id="echoid-s799" xml:space="preserve">L oro, l’ argento, il ferro, <lb/>il marmo, il vetro, il legno pajon continvi; </s>
  <s xml:id="echoid-s800" xml:space="preserve">e <lb/>pure da quanti fori, da quanti canali non ſono <lb/>interrotti, e quanti naſcondigli non contengono? <lb/></s>
  <s xml:id="echoid-s801" xml:space="preserve">il che potete ſimilmente credere di tutti gli altri <lb/>corpi. </s>
  <s xml:id="echoid-s802" xml:space="preserve">E ſe dalle ſoſtanze voi paſſerete alle azio-<lb/>ni, quante ne troverete, a cui la natura ha frap-<lb/>poſto infinite breviſſime ceſſazioni, e ripoſi, che <lb/>ſono per così dire i loro pori? </s>
  <s xml:id="echoid-s803" xml:space="preserve">ma eſſendo quel-<lb/>le ceſſazioni tanto brevi, et inſenſibili, laſciano <lb/>parer continve le azioni. </s>
  <s xml:id="echoid-s804" xml:space="preserve">Credete voi, che ſia <lb/>continvo il riſplender del ſole? </s>
  <s xml:id="echoid-s805" xml:space="preserve">il quale ſe cac-<lb/>cia da ſe la luce vibrandoſi, come alcuni voglio-<lb/>no, così che nel fine di ciaſcuna vibrazione get-<lb/>ti un raggio; </s>
  <s xml:id="echoid-s806" xml:space="preserve">biſogna ben dire, che queſto gitta-<lb/>re non ſia continvo, ma fatta una vibrazione ceſ-<lb/>ſi, finchè un’ altra ne ſucceda; </s>
  <s xml:id="echoid-s807" xml:space="preserve">pure eſſendo que <lb/>gl’ intervalli breviſſimi, ci par che la luce ſi par-<lb/>ta dal ſole continvamente. </s>
  <s xml:id="echoid-s808" xml:space="preserve">Già il ſuono, che ſi <lb/>produce da corpi, i quali ſcuotendoſi nelle loro <lb/>parti e vibrandoſi, vanno ſcuotendo l’ aria, e <lb/>vibrandola ſimilmente, non potrebbe produrſi ne <lb/>continvarſi ſenza molte interruzioni. </s>
  <s xml:id="echoid-s809" xml:space="preserve">E lo ſteſſo <lb/>può dirſi di tutte le azioni, che ſi fanno per via <lb/>di molte percoſſe ſuccedentiſi l’ una all’ altra, co-<lb/>me il riſcaldare, che sì fa per le ſpeſſiſſime per-
<pb o="55" file="0079" n="79" rhead="Libro I."/>
coſſe, che riceve il corpo dalle particelle del fuo-<lb/>co. </s>
  <s xml:id="echoid-s810" xml:space="preserve">Io non finirei mai, ſe voleſſi recarvi tutti <lb/>gl’ eſempj di quelle azioni, che, parendo continve, <lb/>non ſono, e intanto ci pajono, perchè la natura <lb/>ſopraſsedendo di tanto in tanto dall’ agire, e qua-<lb/>ſi ripoſandoſi, vuole che noi ſentiamo la ſua azio-<lb/>ne, e non ci accorgiamo del ſuo ozio. </s>
  <s xml:id="echoid-s811" xml:space="preserve">E ſappia-<lb/>te, che io hò conoſciuto, non ha gran tempo, <lb/>in Roma un’ valoroſo uomo, e dotato di acu-<lb/>tiſſimo ingegno, e di profonda ſcienza, il quale <lb/>levava via ogni continvazione del corpo, volen-<lb/>do, che la materia, ond’ egli è compoſto, con-<lb/>ſiſteſſe in una moltitudine innumerabile di punti <lb/>matematici, i quali, eſſendo tutti l’ un dall’ al-<lb/>tro diſgiunti, et ora traendoſi l’ un l’ altro, et <lb/>ora cacciandoſi in varie guiſe, produceſſero tutti <lb/>gli aſpetti dell’ univerſo. </s>
  <s xml:id="echoid-s812" xml:space="preserve">E con queſta ſuppoſi-<lb/>zione ſpiegava tante coſe, e tanto felicemente, <lb/>che la facea parer quaſi vera. </s>
  <s xml:id="echoid-s813" xml:space="preserve">Che ſe a un così <lb/>gran filoſofo è piaciuto, che la materia, la qual <lb/>pure ſi tien da tutti per continva, altro non ſia, <lb/>che molti punti matematici diſgiunti tra loro, <lb/>e ſeparati, perchè non potrà egli piacere a noi, <lb/>che l’ azione d’ alcuna potenza, quantunque paja <lb/>continva, altro però non ſia, che molte azioni <lb/>iſtantanee, diſgiunte altresì, e ſeparate tra loro? <lb/></s>
  <s xml:id="echoid-s814" xml:space="preserve">e ſolamente ſia nella natura perfettamente contin-<lb/>vo il tempo e lo ſpazio, i quali ſe non foſſer con-<lb/>tinvi, non potrebbono le altre coſe eſſere inter-<lb/>rotte? </s>
  <s xml:id="echoid-s815" xml:space="preserve">Avendo io fin qui detto, e ſopraſtando al-
<pb o="56" file="0080" n="80" rhead="DELLA FORZA DE’ CORPI"/>
quanto, voi dunque volete, diſſe il Signor Mar-<lb/>cheſe, che l’ azione della gravità ſia veramente <lb/>interrotta per alcuni piccioli intervalli. </s>
  <s xml:id="echoid-s816" xml:space="preserve">Io non <lb/>voglio già queſto io, riſpoſi allora. </s>
  <s xml:id="echoid-s817" xml:space="preserve">Dico ſola-<lb/>mente, che non ha alcuna ragione di crederla <lb/>più toſto continvata, che interrotta; </s>
  <s xml:id="echoid-s818" xml:space="preserve">e dico, che <lb/>ſe la crediamo interrotta, come l’ ho preſuppoſta <lb/>io, potremo render ragione delle leggi della gra-<lb/>vità; </s>
  <s xml:id="echoid-s819" xml:space="preserve">ſe la crediamo continvata, non potremo; <lb/></s>
  <s xml:id="echoid-s820" xml:space="preserve">perciocchè dalla continuazione non può racco-<lb/>glierſi nulla. </s>
  <s xml:id="echoid-s821" xml:space="preserve">Ma quelli, che l’ hanno per con-<lb/>tinvata, diſſe allora il Signor Marcheſe, come am-<lb/>metteranno quelle leggi? </s>
  <s xml:id="echoid-s822" xml:space="preserve">Le ammetteranno, riſ-<lb/>poſi allora, indottivi dall’ eſperienza, non dalla <lb/>ragione; </s>
  <s xml:id="echoid-s823" xml:space="preserve">ne le potranno far valere ſe non in quel-<lb/>le potenze, in cui l’ eſperienza le abbia manife-<lb/>ſtate. </s>
  <s xml:id="echoid-s824" xml:space="preserve">Ma voi avevate, ſe non m’ inganno, altre <lb/>coſe da domandarmi. </s>
  <s xml:id="echoid-s825" xml:space="preserve">Niente da domandarvi; </s>
  <s xml:id="echoid-s826" xml:space="preserve">riſ-<lb/>poſe il Signor Marcheſe; </s>
  <s xml:id="echoid-s827" xml:space="preserve">ho bene alcune coſe, <lb/>che deſidero dirvi, le quali mi paſſavan teſtè per <lb/>l’ animo, mentre voi mi ſpiegavate le leggi del-<lb/>la gravità; </s>
  <s xml:id="echoid-s828" xml:space="preserve">e benchè io non mi conſidi di dover <lb/>dirle con chiarezza, e con ordine, pur vi pre-<lb/>go di aſcoltarle. </s>
  <s xml:id="echoid-s829" xml:space="preserve">Per qualunque modo, riſpoſi <lb/>io, voi le diciate, non potranno ſe non piacer-<lb/>mi. </s>
  <s xml:id="echoid-s830" xml:space="preserve">Et egli allora, non dubito, diſſe, che aven-<lb/>do ogni corpo tanto maggior gravità, e riceven-<lb/>do perciò tanto maggiore impulſo, e tanto mag-<lb/>gior movimento, quanto ha più di maſſa, ne vie-<lb/>ne, che ogni corpo ricever debba dalla gravità
<pb o="57" file="0081" n="81" rhead="LIBRO I."/>
ſua la ſteſſa velocità, dovendo così intervenire, <lb/>ovunque il movimento ſia proporzionale alla maſ-<lb/>ſa. </s>
  <s xml:id="echoid-s831" xml:space="preserve">Io ſon dunque perſuaſo, che ogni corpo ri-<lb/>ceverà dal primo impulſo della ſua gravità la ve-<lb/>locità ſteſſa A<emph style="it">r</emph>, e così di mano in mano riceve-<lb/>rà dagli altri impulſi gli ſteſſi accreſcimenti di ve-<lb/>locità <emph style="it">ct, ex</emph> &amp;</s>
  <s xml:id="echoid-s832" xml:space="preserve">c. </s>
  <s xml:id="echoid-s833" xml:space="preserve">e così tutti i corpi cadranno <lb/>con la velocità medeſima; </s>
  <s xml:id="echoid-s834" xml:space="preserve">onde io veggo, che <lb/>rappreſentando il triangolo ACB la caduta di un <lb/>grave, rappreſenta quella di tutti. </s>
  <s xml:id="echoid-s835" xml:space="preserve">Pure perchè <lb/>non potrebbe eſſere o fingerſi un’ altro ordine di <lb/>corpi, i quali aveſſero maggiore, o minor gra-<lb/>vità, che queſti noſtri non hanno, quantunque <lb/>aveſſero le iſteſſe maſſe? </s>
  <s xml:id="echoid-s836" xml:space="preserve">Tali, ripigliai io, ſi cre-<lb/>de che ſieno i corpi nellà luna, dove vuolſi, che <lb/>la gravità ſia minore, che qui in terra; </s>
  <s xml:id="echoid-s837" xml:space="preserve">in tanto <lb/>che il medeſimo corpo, che qui in terra riceve <lb/>dalla gravità un certo impulſo, et una certa ve-<lb/>locità, nella luna riceverebbe un impulſo, et una <lb/>velocità minore. </s>
  <s xml:id="echoid-s838" xml:space="preserve">Di queſti corpi dunque, diſſe <lb/>il Signor Marcheſe, che noi chiameremo lunari, <lb/>parmi, che la caduta poſſa ſimilmente rappreſen-<lb/>tarſi con un triangolo, come quella dei terreſtri. <lb/></s>
  <s xml:id="echoid-s839" xml:space="preserve">Io non ne ho, diſſi, dubio alcuno. </s>
  <s xml:id="echoid-s840" xml:space="preserve">E parmi an-<lb/>che, ripigliò il Signor Marcheſe, che ſe io vo-<lb/>leſſi comparare la caduta di un corpo terreſtre <lb/>con quella di uno lunare, mi converrebbe fare <lb/>due triangoli, ne credo, che mal m’ apponeſſi, fac-<lb/>cendoli di queſto modo. </s>
  <s xml:id="echoid-s841" xml:space="preserve">Stia la velocità prima, che <lb/>riceve il corpo terreſtre dalla ſua gravità, alla
<pb o="58" file="0082" n="82" rhead="DELLA FORZA DE’ CORPI"/>
velocità prima, che riceve il corpo lunare dalla <lb/>ſua, come A<emph style="it">r</emph> ad A<emph style="it">u</emph>, ovvero come <emph style="it">bc a bs</emph>. </s>
  <s xml:id="echoid-s842" xml:space="preserve">Io con-<lb/>durrei la linea A<emph style="it">s</emph>, e prolungandola fino a tagliar <lb/>BC in H, crederei, che il triangolo AHB rap-<lb/>preſenterebbe la caduta del corpo lunare, così <lb/>come il triangolo ACB rappreſenta quella del ter-<lb/>reſtre; </s>
  <s xml:id="echoid-s843" xml:space="preserve">e così ſtarebbe lo ſpazio ſcorſo dal corpo <lb/>terreſtre nel tempo AB allo ſpazio ſcorſo dal cor-<lb/>po lunare nello ſteſſo tempo, come il triangolo <lb/>ACB al triangolo AHB; </s>
  <s xml:id="echoid-s844" xml:space="preserve">e le velocità acquiſtate <lb/>ſarebbono tra loro come BC, BH. </s>
  <s xml:id="echoid-s845" xml:space="preserve">Io non cre-<lb/>do, diſſi io allora, che voi vi diſcoſtiate punto <lb/>dal vero. </s>
  <s xml:id="echoid-s846" xml:space="preserve">E piacemi, che per mezzo della lu-<lb/>na vi abbiate aperta la ſtrada a tutti gli altri pia-<lb/>neti; </s>
  <s xml:id="echoid-s847" xml:space="preserve">perciocchè ſe voi ſaprete, quanta ſia la gra-<lb/>vità de corpi in ciaſcun di loro, di che diconſi <lb/>i Neutoniani avere avuto qualche notizia; </s>
  <s xml:id="echoid-s848" xml:space="preserve">voi <lb/>potrete, come i corpi, che cadono nella luna, <lb/>così chiamare ad eſame ancor quelli, che cado-<lb/>no in giove, o in ſaturno, o in qualſiſia altro <lb/>pianeta, e riconoſcere per mezzo di più trian-<lb/>goli le varie maniere delle lor cadute. </s>
  <s xml:id="echoid-s849" xml:space="preserve">Così ſe <lb/>due corpi partano dalla quiete con le velocità A<emph style="it">r</emph>, <lb/>A<emph style="it">u</emph>, e ſia per eſempio A<emph style="it">r</emph> quattro volte maggio-<lb/>re di A<emph style="it">u</emph>; </s>
  <s xml:id="echoid-s850" xml:space="preserve">voi potrete facilmente intendere, che <lb/>cadendo amendue per lo ſteſſo tempo AB, l’ uno <lb/>dovrà ſcorrere uno ſpazio quattro volte maggio-<lb/>re, che l’ altro, et acquiſtare altresì una veloci-<lb/>tà quattro volte maggiore; </s>
  <s xml:id="echoid-s851" xml:space="preserve">eſſendo manifeſto, che <lb/>il triangolo ACB ſarà quattro volte maggiore del
<pb o="59" file="0083" n="83" rhead="LIBRO I."/>
triangolo AHB, e la linea BC altresì quattro vol-<lb/>te maggiore della BH. </s>
  <s xml:id="echoid-s852" xml:space="preserve">Parmi ancora, diſſe il Si-<lb/>gnor Marcheſe, che ſe io prolungaſſi la linea AB <lb/>fino in D, e conduceſſi DE parallela a BC, fin-<lb/>chè tagliaſſe la AH in E; </s>
  <s xml:id="echoid-s853" xml:space="preserve">e faceſſi tutto queſto <lb/>per modo, che foſſe AD ad AB, come BC a DE. <lb/></s>
  <s xml:id="echoid-s854" xml:space="preserve">eſſendo allora eguali i triangoli ACB, AED, po-<lb/>trei dire, che il corpo lunare nel tempo AD ſcor-<lb/>re quello ſpazio medeſimo, che il corpo terre-<lb/>ſtre ſcorre nel tempo AB; </s>
  <s xml:id="echoid-s855" xml:space="preserve">e acquiſta tuttavia ve-<lb/>locità minore, eſſendo DE minore di BC. </s>
  <s xml:id="echoid-s856" xml:space="preserve">Non <lb/>ſo, ſe il mio ragionare vi paja aſſai giuſto. </s>
  <s xml:id="echoid-s857" xml:space="preserve">Io <lb/>non credo, riſpoſi, che la dialettica ſteſſa formar <lb/>lo poteſſe più giuſtamente. </s>
  <s xml:id="echoid-s858" xml:space="preserve">Ora, ripigliò il Signot <lb/>Marcheſe, s’ egli è pur vero, che il corpo terre-<lb/>ſtre, cacciato all’ insù da qualſiſia potenza con <lb/>la velocità BC, dee ſalire per tutto lo ſpazio <lb/>ACB, io non ſo, perchè il corpo lunare, cac-<lb/>ciato all’ insù con la velocità DE, non doveſſe <lb/>ſalire per lo ſpazio AED, cioè per eguale ſpazio; </s>
  <s xml:id="echoid-s859" xml:space="preserve"><lb/>onde io traggo argomento, che la forza del ſali-<lb/>re non debba miſurarſi dallo ſpazio ( laſcio ora <lb/>la maſſa, che poſſiamo fingere eguale in amendue <lb/>i corpi ) perciocchè ſe così foſſe, biſognerebbe <lb/>nel noſtro caſo, che il corpo terreſtre, et il lu-<lb/>nare ſcorrendo lo ſteſſo ſpazio, aveſſero la ſteſſa <lb/>forza; </s>
  <s xml:id="echoid-s860" xml:space="preserve">il che però non può eſſere, ſecondo la <lb/>ſentenza di niun filoſoſo, eſſendo le maſſe egua-<lb/>li, diſeguali le velocità. </s>
  <s xml:id="echoid-s861" xml:space="preserve">Ma veggo bene di non <lb/>poter ciò intendere baſtantemente, ſe voi prima
<pb o="60" file="0084" n="84" rhead="DELLA FORZA DE’ CORPI"/>
non mi ſpiegate, come il corpo terreſtre, eſſen-<lb/>do cacciato all’ in sù con la velocità BC, che <lb/>egli avrebbe acquiſtata cadendo perlo ſpazio ABC, <lb/>debba ſalire per lo ſteſſo ſpazio, e non più. </s>
  <s xml:id="echoid-s862" xml:space="preserve">Et io <lb/>veggo, riſpoſi, che voi mi tentate; </s>
  <s xml:id="echoid-s863" xml:space="preserve">perchè la coſa è <lb/>pur facile, e per poca attenzione, ch’ altri vi <lb/>ponga, non può non intenderſi toſtamente. </s>
  <s xml:id="echoid-s864" xml:space="preserve">Impe-<lb/>rocchè eſſendo il corpo cacciato all’ insù con la <lb/>velocità BC, quale ſpazio ſcorrerà egli nel tempet-<lb/>to B<emph style="it">k?</emph></s>
  <s xml:id="echoid-s865" xml:space="preserve">Lo ſpazio B<emph style="it">z</emph>, diſſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s866" xml:space="preserve">Che <lb/>è quello ſteſſo, ſoggiunſi io, che egli avrebbe ſcor-<lb/>ſo nel fine della ſua caduta in un tempetto eguale a <lb/>B<emph style="it">k</emph>. </s>
  <s xml:id="echoid-s867" xml:space="preserve">Ora finito il tempetto B<emph style="it">k</emph>, non riceverà il <lb/>corpo dalla ſua gravità un’ impulſo, che ſpin-<lb/>gendolo all’ ingiù diſtruggerà in eſſo una parti-<lb/>cella di quella velocità, che egli ha? </s>
  <s xml:id="echoid-s868" xml:space="preserve">E queſta <lb/>particella non ſarà ella proporzionale all’ impulſo <lb/>ſteſso? </s>
  <s xml:id="echoid-s869" xml:space="preserve">Certo che ſi; </s>
  <s xml:id="echoid-s870" xml:space="preserve">riſpoſe il Signor Marcheſe, <lb/>e ſarà <emph style="it">lz</emph>, onde reſterà al corpo la velocità <emph style="it">kl</emph>, <lb/>con la quale dovrà ſcorrere nel tempetto ſeguen-<lb/>te <emph style="it">kb</emph> lo ſpazio <emph style="it">ky</emph>, che è quello ſteſso, che caden-<lb/>do avrebbe ſcorſo nel penultimo tempetto eguale <lb/>a <emph style="it">kb</emph>. </s>
  <s xml:id="echoid-s871" xml:space="preserve">E così proſeguendo, ſoggiunſi io, voi tro-<lb/>verete, che il corpo riſalendo all’ insù dee ſcor-<lb/>rere tutti gli ſpazj, che già ſcorſe cadendo, e ne-<lb/>gl’ iſteſſi tempetti, fino in A; </s>
  <s xml:id="echoid-s872" xml:space="preserve">dove poichè ſarà <lb/>giunto, avrà perduta tutta la velocità BC; </s>
  <s xml:id="echoid-s873" xml:space="preserve">e ſi <lb/>fermerebbe quivi, ſe la gravità, che egli ritien <lb/>ſempre, non lo ſtimolaſse di nuovo a diſcendere. <lb/></s>
  <s xml:id="echoid-s874" xml:space="preserve">Et io non dubito, che per la ſteſsa ragione an-
<pb o="61" file="0085" n="85" rhead="LIBRO I."/>
che i corpi nella luna, caduti eſsendo per qual-<lb/>che ſpazio, ſe riſaliranno con quella velocità, <lb/>che acquiſtaron cadendo, riſaliranno per lo ſteſ-<lb/>ſo ſpazio, e non più. </s>
  <s xml:id="echoid-s875" xml:space="preserve">E ſimilmente troverete av-<lb/>venire in tutti gli altri pianeti, ſe vi piacerà di <lb/>andar vagando per ciaſcuno. </s>
  <s xml:id="echoid-s876" xml:space="preserve">E per venir là, don-<lb/>de i noſtri ragionamenti s’ incominciarono, po-<lb/>tete anche facilmente conoſcere, che a far ſali-<lb/>re un corpo, come abbiamo detto, non altro ri-<lb/>cercaſi ſe non tre coſe ſole: </s>
  <s xml:id="echoid-s877" xml:space="preserve">una potenza, che da <lb/>principio produca in eſſo un movimento all’ in-<lb/>sù; </s>
  <s xml:id="echoid-s878" xml:space="preserve">un’ altra potenza, che diſtrugga quel movi-<lb/>mento a poco a poco; </s>
  <s xml:id="echoid-s879" xml:space="preserve">el’ inerzia, che n<unsure/>e conſervi <lb/>gli avanzi, finchè può. </s>
  <s xml:id="echoid-s880" xml:space="preserve">Di che pare, che niun <lb/>luogo v’ abbia quella forza viva, che i Leibni-<lb/>ziani hanno voluto aggiungervi, e che miſuran-<lb/>dola dallo ſpazio, voglion’ eſſere proporzionale <lb/>al quadrato della velocità. </s>
  <s xml:id="echoid-s881" xml:space="preserve">Così è, diſſe il Si-<lb/>gnor Marcheſe; </s>
  <s xml:id="echoid-s882" xml:space="preserve">e certo parmi, che quelle poten-<lb/>ze, che avete detto, e l’ inerzia, baſtino a tut-<lb/>to. </s>
  <s xml:id="echoid-s883" xml:space="preserve">Pure che riſponderò io ad uno, il quale ar-<lb/>gomenti di queſta maniera? </s>
  <s xml:id="echoid-s884" xml:space="preserve">Se un corpo ſale ad’ <lb/>una certa altezza, biſogna pur dire, che abbia la <lb/>forza di ſalirvi; </s>
  <s xml:id="echoid-s885" xml:space="preserve">la qual forza dovrà pur miſurar-<lb/>ſi dalla ſalita ſteſsa; </s>
  <s xml:id="echoid-s886" xml:space="preserve">e miſurandoſi queſta dallo <lb/>ſpazio, et eſsendo lo ſpazio proporzionale al qua-<lb/>drato della velocità, par bene che dovrà eſsere <lb/>proporzionale allo ſteſso quadrato anche la for-<lb/>za. </s>
  <s xml:id="echoid-s887" xml:space="preserve">Laſcio ſempre ſtare la maſsa, che certo do-<lb/>vrà entrare in tal miſura, poichè, ſalendo un
<pb o="62" file="0086" n="86" rhead="DELLA FORZA DE’ CORPI"/>
corpo, ſagliono egualmente tutte le parti di eſso, <lb/>e quella forza, che lo fa ſalire, dee produrre <lb/>tante ſalite, quante ſono eſse parti. </s>
  <s xml:id="echoid-s888" xml:space="preserve">Ma tutto ciò <lb/>non fa nulla al caſo noſtro, in cui vogliamo eſse-<lb/>re ſempre eguale la maſsa. </s>
  <s xml:id="echoid-s889" xml:space="preserve">E ciò poſto, come non <lb/>dovrà aggiungerſi alle potenze, che avete det-<lb/>to, et all’ inerzia un’ altra forza, che ſia pro-<lb/>porzionale allo ſpazio, cioè al quadrato del-<lb/>la velocità? </s>
  <s xml:id="echoid-s890" xml:space="preserve">Voi dite beniſſimo, riſpoſi; </s>
  <s xml:id="echoid-s891" xml:space="preserve">per-<lb/>chè ora a voi piace di prendere la ſalita come un’ <lb/>effetto; </s>
  <s xml:id="echoid-s892" xml:space="preserve">e perciò dovete immaginar nel corpo una <lb/>forza, che ſia ad eſſa porporzionale. </s>
  <s xml:id="echoid-s893" xml:space="preserve">Ne io nego, <lb/>che voi poſſiate prendere, come effetto, tutto che <lb/>volete; </s>
  <s xml:id="echoid-s894" xml:space="preserve">e così fingervi quante forze volete. </s>
  <s xml:id="echoid-s895" xml:space="preserve">Nego <lb/>bene, che la ſalita del corpo ſia veramente un’ <lb/>effetto, e che debba eſſere al mondo una parti-<lb/>colar forza deſtinata dalla natura a produr le ſa-<lb/>lite. </s>
  <s xml:id="echoid-s896" xml:space="preserve">E dico, che nel ſalire non ha altro effetto, <lb/>ſe non che il movimento prodotto già da una <lb/>qualche potenza, il quale eſſendo rivolto all’ in-<lb/>sù, chiamaſi per noi ſalita; </s>
  <s xml:id="echoid-s897" xml:space="preserve">e ſi conſerva per l’ <lb/>inerzia, finchè ſia da una potenza contraria to-<lb/>talmente diſtrutto; </s>
  <s xml:id="echoid-s898" xml:space="preserve">ne altra forza vi ſi ricerca. </s>
  <s xml:id="echoid-s899" xml:space="preserve">E <lb/>quando bene vi ſi ricercaſſe una particolar for-<lb/>za, che produceſſe la ſalita, io non ſo anche, <lb/>perchè ſe la voleſſero i Leibniziani miſurare col <lb/>quadrato della velocità. </s>
  <s xml:id="echoid-s900" xml:space="preserve">Oh diranno, riſpoſe il Si-<lb/>gnor Marcheſe: </s>
  <s xml:id="echoid-s901" xml:space="preserve">perchè quella forza ſi miſurerebbe <lb/>dalla ſalita, e la ſalita ſi miſura dallo ſpazio, e lo ſpa-<lb/>zio è proporzionale al quadrato della velocità.</s>
  <s xml:id="echoid-s902" xml:space="preserve">
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Si; </s>
  <s xml:id="echoid-s903" xml:space="preserve">riſpoſi, lo ſpazio è proporzionale al quadra-<lb/>to della velocità, ſe i corpi, che noi paragonia-<lb/>mo, ſieno gravi dello ſteſso genere di gravità, <lb/>come ſe ſieno due corpi terreſtri, che ſagliano <lb/>all’ insù; </s>
  <s xml:id="echoid-s904" xml:space="preserve">i quali veramente ſcorreranno ſpazj pro-<lb/>porzionali ai quadrati di quelle velocità, con <lb/>cui cominciarono a ſalire. </s>
  <s xml:id="echoid-s905" xml:space="preserve">Non così, ſe foſser <lb/>diverſi i generi delle gravità; </s>
  <s xml:id="echoid-s906" xml:space="preserve">come ſe l’ un cor-<lb/>po foſse terreſtre, e ſaliſse all’ insù qui in terra, <lb/>l’ altro foſſe lunare, e ſaliſse all’ in sù nella lu-<lb/>na; </s>
  <s xml:id="echoid-s907" xml:space="preserve">perchè voi troverete, che il corpo, che ſale <lb/>in sù nella luna, avendo ricevuto<unsure/> da principio <lb/>una certa velocità, ſcorre uno ſpazio aſsai mag-<lb/>giore, che non ſcorrerebbe qui in terra, aven-<lb/>do ricevuto la velocità medeſima; </s>
  <s xml:id="echoid-s908" xml:space="preserve">laonde para-<lb/>gonando la falita del corpo terreſtre con la ſali-<lb/>ta del lunare, ſi troverà altra eſsere la proporzio-<lb/>ne degli ſpazj, altra quella dei quadrati delle ve-<lb/>locità. </s>
  <s xml:id="echoid-s909" xml:space="preserve">Egli è male, diſse allora il Signor Marche-<lb/>ſe, che per trovar queſto paragone, biſogni andar <lb/>nella luna. </s>
  <s xml:id="echoid-s910" xml:space="preserve">Potrebbe ritrovarſi lo ſteſso, riſpoſi io, <lb/>anche quì in terra, chi voleſse ſeguir piuttoſto <lb/>la verità, che le ipoteſi. </s>
  <s xml:id="echoid-s911" xml:space="preserve">Perchè voi dovete ſape-<lb/>re, che ſecondo le eſperienze di molti graviſſi-<lb/>mi, e diligentiſſimi fiſici, gl’ iſteſſi corpi non <lb/>hanno già la ſteſsa gravità per tutta la terra, ove <lb/>che ſieno; </s>
  <s xml:id="echoid-s912" xml:space="preserve">ma più ſi ſcoſtano dall’ equatore, e <lb/>più l’ hanno grande; </s>
  <s xml:id="echoid-s913" xml:space="preserve">per la qual coſa ſe due cor-<lb/>pi ſagliono all’ insù, l’ uno più lontano all’ e-<lb/>quatore, e l’ altro meno, non ſarà già vero, che
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gli ſpazj ſieno per eſsere proporzionali ai qua-<lb/>drati delle velocità; </s>
  <s xml:id="echoid-s914" xml:space="preserve">benchè ſarebbe vero, ſe la <lb/>gravità, come ſuol ſupporſi, foſse la ſteſsa per <lb/>tutto. </s>
  <s xml:id="echoid-s915" xml:space="preserve">Di che par certamente, che volendo mi-<lb/>ſurar la forza dalla ſalita, e dallo ſpazio, non <lb/>debba per ciò ſempre miſurarſi dal quadrato del-<lb/>la velocità. </s>
  <s xml:id="echoid-s916" xml:space="preserve">Che è un’ argomento, che io ſentj <lb/>una volta dire a un mio nipote, che argomenta-<lb/>va contra l’ opinione di Leibnizio. </s>
  <s xml:id="echoid-s917" xml:space="preserve">E’ egli quel-<lb/>lo, diſse il Signor Marcheſe, che voi avete eſpo-<lb/>ſto ne voſtri comentarj, e che io leſſi in Paler-<lb/>mo, e mi ſdegnai meco ſteſso, parendomi allo-<lb/>ra, che non mi ſodisfaceſse? </s>
  <s xml:id="echoid-s918" xml:space="preserve">Non vi ſdegnate <lb/>per queſto, riſpoſi io, con voi ſteſſo; </s>
  <s xml:id="echoid-s919" xml:space="preserve">perchè è ſtato <lb/>anche un valoroſo matematico, voglio dire il Padre <lb/>Riccati, a cui quell’ argomento non è potuto <lb/>piacere. </s>
  <s xml:id="echoid-s920" xml:space="preserve">Se vi è caro, io vi racconterò la li-<lb/>te, come è ſtata; </s>
  <s xml:id="echoid-s921" xml:space="preserve">e tanto più volentieri il farò, <lb/>che eſponendolavi verrò inſieme ad eſporvi, qua-<lb/>li foſsero i principj ultimi, e qual l’ origine di <lb/>tutta la quiſtione della forza viva; </s>
  <s xml:id="echoid-s922" xml:space="preserve">che eſsendo <lb/>già nata dall’ incomparabil Leibnizio parve poi, <lb/>che ſi taceſse per lungo tempo, finchè eccitata, <lb/>e commoſsa dall’ egregio Bernulli ſurſe di nuo-<lb/>vo con più rumore. </s>
  <s xml:id="echoid-s923" xml:space="preserve">Io avrò caro di udirne, diſ-<lb/>ſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s924" xml:space="preserve">Sappiate dunque, ripi-<lb/>gliai io, che Leibnizio aſsumeva, come un prin-<lb/>cipio di meccanica da non dover dubitarſene, che <lb/>eguali forze debbano avere due corpi, ſe l’ un <lb/>di loro, avendo maſsa 4, poſsa ſalire all’ altezza
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1; </s>
  <s xml:id="echoid-s925" xml:space="preserve">e l’ altro, avendo maſsa 1, poſsa ſalire all’ <lb/>altezza 4; </s>
  <s xml:id="echoid-s926" xml:space="preserve">miſurando così le forze dalla maſsa mol-<lb/>tiplicata per lo ſpazio. </s>
  <s xml:id="echoid-s927" xml:space="preserve">E quindi argomentava ſot-<lb/>tilmente a queſto modo. </s>
  <s xml:id="echoid-s928" xml:space="preserve">Se un corpo, la cui maſ-<lb/>ſa ſia 4, cada dall’ altezza 1, acquiſta forza di <lb/>riſalire ſpazio 1; </s>
  <s xml:id="echoid-s929" xml:space="preserve">e ſe un’ altro corpo, la cui maſ-<lb/>ſa ſia 1, cada dall’ altezza 4, acquiſta forza di <lb/>riſalire ſpazio 4. </s>
  <s xml:id="echoid-s930" xml:space="preserve">Avranno dunque queſti due <lb/>corpi acquiſtate forze eguali nel lor cadere; </s>
  <s xml:id="echoid-s931" xml:space="preserve">le <lb/>quali forze però non ſarebbono eguali, ſe non <lb/>ſi miſuraſsero moltiplicando le maſse per li qua-<lb/>drati delle velocità; </s>
  <s xml:id="echoid-s932" xml:space="preserve">biſogna dunque così miſu-<lb/>rarle. </s>
  <s xml:id="echoid-s933" xml:space="preserve">Per tal modo argomentava il Filoſofo acu-<lb/>tiſſimo, e riprendeva con molta alterigia i Car-<lb/>teſiani, che fino a quell’ ora avevano miſurato la <lb/>forza d’ aìtra maniera; </s>
  <s xml:id="echoid-s934" xml:space="preserve">ma eſſi per forza altro a. <lb/></s>
  <s xml:id="echoid-s935" xml:space="preserve">vevano inteſo da quello, che intendeva egli. </s>
  <s xml:id="echoid-s936" xml:space="preserve">Di <lb/>quì nacque la famoſa quiſtione; </s>
  <s xml:id="echoid-s937" xml:space="preserve">della quale ra-<lb/>gionando meco un giorno Euſtachio mio nipote <lb/>dicea, che ſecondo quel principio di meccanica, <lb/>che aſſumeva Leibnizio, la concluſione procede-<lb/>va beniſſimo nella ſuppoſizione della noſtra comu-<lb/>ne gravità; </s>
  <s xml:id="echoid-s938" xml:space="preserve">ma cangiandoſi la gravità, avrebbe <lb/>dovuto cangiarſi ancora la concluſione. </s>
  <s xml:id="echoid-s939" xml:space="preserve">Di fatti <lb/>ponghiamo, che il corpo, che ha maſſa 4, e ſa-<lb/>le all’ altezza 1, ſia dotato della gravità terreſtre; </s>
  <s xml:id="echoid-s940" xml:space="preserve"><lb/>l’ altro, che ha maſſa 1, e ſale all’ altezza 4, ſia <lb/>dotato della lunare: </s>
  <s xml:id="echoid-s941" xml:space="preserve">ſecondo il principio, che <lb/>Leibnizio aſſumeva, dovranno amendue i corpi <lb/>avere forze eguali; </s>
  <s xml:id="echoid-s942" xml:space="preserve">ne però ſi troveranno eguali,
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miſurandole dalle maſſe moltiplicate per li qua-<lb/>drati delle loro velocità; </s>
  <s xml:id="echoid-s943" xml:space="preserve">acciocchè dunque ſieno <lb/>eguali le forze, come eſſer debbono ſecondo il <lb/>principio di Leibnizio, dovranno miſurarſi d’ al-<lb/>tra maniera. </s>
  <s xml:id="echoid-s944" xml:space="preserve">E che oppone egli, diſſe allora il Si-<lb/>gnor Marcheſe, a queſto argomento il Padre Ric-<lb/>cati? </s>
  <s xml:id="echoid-s945" xml:space="preserve">Niente altro, ripigliai io; </s>
  <s xml:id="echoid-s946" xml:space="preserve">ſe non che, qua-<lb/>lunque velocità ſi acquiſti il corpo cadendo per <lb/>qualunque genere di gravità, potrà pur ſempre <lb/>dirſi, che la forza, che egli ha, ſia proporziona-<lb/>le alla maſſa moltiplicata per lo quadrato della <lb/>acquiſtata velocità. </s>
  <s xml:id="echoid-s947" xml:space="preserve">Si, riſpoſe allora il Signor <lb/>Marcheſe; </s>
  <s xml:id="echoid-s948" xml:space="preserve">ma non potrà poi miſurarſi la forza <lb/>dalla maſſa moltiplicata per lo ſpazio, come ri-<lb/>cerca il principio, che Leibnizio aſſumeva. </s>
  <s xml:id="echoid-s949" xml:space="preserve">Forſe <lb/>che il Padre Riccati non vorrà aſſumerlo egli. </s>
  <s xml:id="echoid-s950" xml:space="preserve">Se <lb/>non vuole aſſumerlo egli, riſpoſi io allora, dovea <lb/>però ſoffrire, che lo aſſumeſſe mio nipote argo-<lb/>mentando contra Leibnizio, il qual lo aſſume. </s>
  <s xml:id="echoid-s951" xml:space="preserve">E <lb/>ſe quel principio non gli piaceva, dovea piuttoſto <lb/>ſgridarne Leibnizio ſteſſo; </s>
  <s xml:id="echoid-s952" xml:space="preserve">ma egli ha voluto ave-<lb/>re un’ avverſario più debole, e s’ è rivolto contra <lb/>il mio Euſtachio. </s>
  <s xml:id="echoid-s953" xml:space="preserve">Vorrà forſe il Padre Riccati, <lb/>diſſe allora il Signor Marcheſe, che la forza ſi mi-<lb/>ſuri non veramente dallo ſpazio, ma dalla ſomma <lb/>di quelle reſiſtenze, ovvero di quegl’ impulſi, che <lb/>il corpo incontrâ<unsure/> ſalendo per lo ſpazio; </s>
  <s xml:id="echoid-s954" xml:space="preserve">il che <lb/>pare ancora e più ragionevole, e più vero. </s>
  <s xml:id="echoid-s955" xml:space="preserve">Io non <lb/>ſo; </s>
  <s xml:id="echoid-s956" xml:space="preserve">diſſi. </s>
  <s xml:id="echoid-s957" xml:space="preserve">Ma certo ſe Leibnizio aveſſe così volu-<lb/>to, avrebbe dovuto miſurar la forza più toſto
<pb o="67" file="0091" n="91" rhead="LIBRO I."/>
dal tempo, che dallo ſpazio; </s>
  <s xml:id="echoid-s958" xml:space="preserve">eſſendo la ſomma <lb/>degl’ impulſi, che il corpo riceve dalla gravità, <lb/>e che incontra ſalendo in sù, non allo ſpazio <lb/>proporzionale, come ben ſapeva Leibnizio, ma <lb/>al tempo. </s>
  <s xml:id="echoid-s959" xml:space="preserve">Ma parmi oramai, che della gravità, <lb/>in quanto appartiene alla forza viva, ſiaſi pernoi <lb/>detto abbaſtanza; </s>
  <s xml:id="echoid-s960" xml:space="preserve">ſe non forſe anche troppo. </s>
  <s xml:id="echoid-s961" xml:space="preserve">A <lb/>me, diſſe il Signor Marcheſe, non può parer trop-<lb/>po; </s>
  <s xml:id="echoid-s962" xml:space="preserve">ſe già voi non voleſte entrare a dir degli e-<lb/>laſtri, ſopra la forza de quali deſidero grandemen-<lb/>te ſapere l’ opinion voſtra; </s>
  <s xml:id="echoid-s963" xml:space="preserve">la quale ſe voi vorre-<lb/>te eſpormi, vi concederò volentieri, che della <lb/>gravità ſiaſi detto abbaſtanza; </s>
  <s xml:id="echoid-s964" xml:space="preserve">ne credo però, che <lb/>degli elaſtri dobbiate avere difficoltà niuna a dir-<lb/>mi, avendone detto tanto ne voſtri Comentarj. <lb/></s>
  <s xml:id="echoid-s965" xml:space="preserve">Appunto, riſpoſi io allora, perchè ne ho detto <lb/>tanto ne Comentarj, non accade, che io ve ne <lb/>dica ora. </s>
  <s xml:id="echoid-s966" xml:space="preserve">Potete facilmente leggerli; </s>
  <s xml:id="echoid-s967" xml:space="preserve">e sì ne in-<lb/>tenderete l’ opinion mia. </s>
  <s xml:id="echoid-s968" xml:space="preserve">Ma voi potreſte, diſſe <lb/>allora il Signor Marcheſe, aver cangiato di opi-<lb/>nione. </s>
  <s xml:id="echoid-s969" xml:space="preserve">Et io ſorridendo riſpoſi: </s>
  <s xml:id="echoid-s970" xml:space="preserve">voi volete rim-<lb/>proverarmi quello, di che molti mi hanno già più <lb/>volte accuſato; </s>
  <s xml:id="echoid-s971" xml:space="preserve">e ciò è, che in filoſofia io cangi <lb/>ſpeſſo di opinione; </s>
  <s xml:id="echoid-s972" xml:space="preserve">il che non è vero; </s>
  <s xml:id="echoid-s973" xml:space="preserve">ma faccio <lb/>viſta alcuna volta di cangiare, e per contradire <lb/>agli altri, non accorgendoſene eſſi, contradico a <lb/>me medeſimo; </s>
  <s xml:id="echoid-s974" xml:space="preserve">e sì il fo per intender meglio <lb/>gli argomenti, e le dimoſtrazioni loro, le quali <lb/>eſſi non direbbono mai ne con tanta copia, ne co-<lb/>sì chiaramente, ſenza lo ſtimolo della contradizio-
<pb o="68" file="0092" n="92" rhead="DELLA FORZA DE’ CORPI"/>
ne; </s>
  <s xml:id="echoid-s975" xml:space="preserve">e poſſo affermarvi, che così uſando ho appa-<lb/>rato qualche coſa. </s>
  <s xml:id="echoid-s976" xml:space="preserve">Ma venendo al propoſito, quand’ <lb/>anche io aveſſi cangiato di opinione intorno agli <lb/>elaſtri, che fa a voi di ſapere più toſto l’ opi-<lb/>nion mia d’ oggi, che quella, che ebbi <lb/>due anni ſono? </s>
  <s xml:id="echoid-s977" xml:space="preserve">quaſi che io foſſi oggi di maggio-<lb/>re autorità, che allora. </s>
  <s xml:id="echoid-s978" xml:space="preserve">A me piacerà, diſſe il Si-<lb/>gnor Marcheſe, di ſaperle tutte e due. </s>
  <s xml:id="echoid-s979" xml:space="preserve">Quella d’ <lb/>oggi mi direte voi ora; </s>
  <s xml:id="echoid-s980" xml:space="preserve">quella, che aveſte due an-<lb/>ni ſono, la cercherò ne Comentarj. </s>
  <s xml:id="echoid-s981" xml:space="preserve">Voi volete, <lb/>riſpoſi io allora ridendo, sſorzarmi a tutti i mo-<lb/>di, e ricondurmi ſopra un’ argomento, che, a <lb/>dirvi il vero, avea cominciato a nojarmi, già è <lb/>gran tempo; </s>
  <s xml:id="echoid-s982" xml:space="preserve">ne per altro può ora piacermi, ſe <lb/>non perchè piace a voi. </s>
  <s xml:id="echoid-s983" xml:space="preserve">lo dirò dunque brevemen-<lb/>te degli elaſtri, acciocchè intendiate niun luogo <lb/>laſciarſi per eſſi alla forza viva, e tutti i loro ef-<lb/>fetti non d’ altro procedere, che dalle potenze, <lb/>e dall’ inerzia. </s>
  <s xml:id="echoid-s984" xml:space="preserve">E dirò quello, che me ne verrà in <lb/>mente ora; </s>
  <s xml:id="echoid-s985" xml:space="preserve">voi vedrete poi, ſe io diſcordi da quel-<lb/>lo, che già ne penſai, ſcrivendo i Comentarj; </s>
  <s xml:id="echoid-s986" xml:space="preserve">di <lb/>che appena ora mi ſovviene. </s>
  <s xml:id="echoid-s987" xml:space="preserve">Dette queſte parole <lb/>preſi il foglio, che avea tra le mani il Signor Mar-<lb/>cheſe, e diſegnatovi ſopra con la penna la ſecon-<lb/>da figura diſſi: </s>
  <s xml:id="echoid-s988" xml:space="preserve">avrete già inteſo, che elaſtro chia-<lb/>
<anchor type="note" xlink:label="note-0092-01a" xlink:href="note-0092-01"/>
mano un’ angolo, come ABC, il quale natural-<lb/>mente richiede una certa larghezza, di modo che <lb/>ſe per alcuna ſtraniera potenza ſi aſtringa a dover <lb/>tenerne una o maggiore o minore, faccia forza, <lb/>e ſpinga in contrario. </s>
  <s xml:id="echoid-s989" xml:space="preserve">Fingiamo dunque che la
<pb o="69" file="0093" n="93" rhead="LIBRO I."/>
larghezza naturale dell’ elaſtro ABC ſia AD; </s>
  <s xml:id="echoid-s990" xml:space="preserve">e <lb/>che dall’ una parte appoggiandoſi al muro immo-<lb/>bile XY, ſia dall’ altra premuto per una qualche <lb/>potenza applicata al globo C, che lo tenga fer-<lb/>mo, e riſtretto nello ſpazio AC. </s>
  <s xml:id="echoid-s991" xml:space="preserve">Stando le coſe <lb/>così, voi vedete, che l’ elaſtro non ceſſerà mai di <lb/>premere il globo C, e ſollecitarlo con altri, ed’ <lb/>altri impulſi verſo D; </s>
  <s xml:id="echoid-s992" xml:space="preserve">i quali impulſi ſeguiranno <lb/>ad eſſere ſempre eguali, non eſſendovi alcuna ra-<lb/>gione, perchè debbano farſi o maggiori o mino-<lb/>ri. </s>
  <s xml:id="echoid-s993" xml:space="preserve">Così come quelli della gravità, diſſe allora il <lb/>Signor Marcheſe. </s>
  <s xml:id="echoid-s994" xml:space="preserve">Così appunto, riſpoſi. </s>
  <s xml:id="echoid-s995" xml:space="preserve">E come <lb/>quelli della gravità, ripigliò egli, ſono ſecondo voi <lb/>iſtantanei, e diſg unti tra loro per certi piccoliſſimi <lb/>intervalli di tempo, così ſaranno ancor queſti. <lb/></s>
  <s xml:id="echoid-s996" xml:space="preserve">Io non ho detto, riſpoſi, che gl’ impulſi della <lb/>gravità ſieno iſtantanei, e diſgiunti tra loro; </s>
  <s xml:id="echoid-s997" xml:space="preserve">ho <lb/>detto, che potrebbon’ eſſere ſenza incomodo del-<lb/>la natura; </s>
  <s xml:id="echoid-s998" xml:space="preserve">e lo ſteſſo penſo anche degl’ impulſi <lb/>dell’ elaſtro; </s>
  <s xml:id="echoid-s999" xml:space="preserve">i quali però abbiatevegli come vi <lb/>pare, o continvi ſenza interruzion niuna, o con <lb/>infinite interruzioni inſinitamente piccole; </s>
  <s xml:id="echoid-s1000" xml:space="preserve">che a <lb/>me è lo ſteſſo; </s>
  <s xml:id="echoid-s1001" xml:space="preserve">benchè la ſuppoſizione delle in-<lb/>terruzioni ſarebbe più comoda, et è forſe ancor <lb/>la più vera. </s>
  <s xml:id="echoid-s1002" xml:space="preserve">Come che ciò ſia, egli è ben d’ av-<lb/>vertire, che qualora l’ elaſtro è più largo, gl’ im-<lb/>pulſi ſono più deboli. </s>
  <s xml:id="echoid-s1003" xml:space="preserve">Così ſe egli ſarà tenuto fer-<lb/>mo in <emph style="it">m</emph>, avendo la larghezza A<emph style="it">m</emph>, gl’ impulſi <lb/>ſaranno più deboli, che non erano, quando egli <lb/>era tenuto fermo in C, avendo la larghezza AC;</s>
  <s xml:id="echoid-s1004" xml:space="preserve">
<pb o="70" file="0094" n="94" rhead="DELLA FORZA DE’ CORPI"/>
e più deboli ancor ſaranno, ſe ſarà tenuto fermo <lb/>in <emph style="it">n</emph>, e più ancora, ſe in @; </s>
  <s xml:id="echoid-s1005" xml:space="preserve">in tanto che allarga-<lb/>toſi l’ elaſtro fino in D, nulla ſarà degl’ impul-<lb/>ſi. </s>
  <s xml:id="echoid-s1006" xml:space="preserve">Dove voi potete facilmente intendere, che <lb/>quando l’ intervallo C<emph style="it">m</emph> foſſe eſtremamente pic-<lb/>colo, eſtremamente piccola ſarebbe anche la dif-<lb/>ferenza, che paſſerebbe tra gl’ impulſi in C, e <lb/>gl’ impulſi in <emph style="it">m</emph>, e in tal caſo, traſcurandoſi que-<lb/>ſta differenza, ſi direbbe, che la preſſion dell’ ela-<lb/>ſtro foſſe per tutto l’ intervallo C<emph style="it">m</emph> ſempre egua-<lb/>le a ſe medeſima. </s>
  <s xml:id="echoid-s1007" xml:space="preserve">E lo ſteſſo ſimilmente può dir-<lb/>ſi riſpetto all’ intervallo <emph style="it">mn</emph>, all’ intervallo <emph style="it">no</emph>, e <lb/>a tutti gli altri, che ſeguono fino in D. </s>
  <s xml:id="echoid-s1008" xml:space="preserve">Inten-<lb/>do, diſſe quivi il Signor Marcheſe; </s>
  <s xml:id="echoid-s1009" xml:space="preserve">e ſe mal non <lb/>m’ appongo; </s>
  <s xml:id="echoid-s1010" xml:space="preserve">parmi, che quello, che voi avete <lb/>detto d’ un’ elaſtro ſolo, potrebbe ſimilmente dir-<lb/>ſi d’ una ſerie di molti; </s>
  <s xml:id="echoid-s1011" xml:space="preserve">però non vi ſia grave, che <lb/>io qui alcuna ne ſegni. </s>
  <s xml:id="echoid-s1012" xml:space="preserve">Come vi piace, riſpoſi; <lb/></s>
  <s xml:id="echoid-s1013" xml:space="preserve">et egli preſo il foglio, e ſegnatovi ſopra quattro <lb/>elaſtri, così incominciò: </s>
  <s xml:id="echoid-s1014" xml:space="preserve">ſe noi aveſſimo una ſe-<lb/>rie continvata, come queſta è, di quattro elaſtri <lb/>EFG, GHI, IKL, LMN, la cui natural larghez-<lb/>za foſſe EO; </s>
  <s xml:id="echoid-s1015" xml:space="preserve">et eſſendo dall’ una parte appoggia-<lb/>ta al muro immobile XY, foſſe dall’ altra pre-<lb/>muta da qualche potenza applicata al globo N, <lb/>che la teneſſe ferma, e riſtretta nello ſpazio EN, m’è <lb/>avviſo, che lo ſteſſo avverrebbe a queſta ſerie, che <lb/>all’ elaſtro ABC; </s>
  <s xml:id="echoid-s1016" xml:space="preserve">poichè eſſa pure premerebbe <lb/>continvamente il globo N con altri ed altri im-<lb/>pulſi, i quali ſarebbono tutti tra loro eguali; </s>
  <s xml:id="echoid-s1017" xml:space="preserve">e
<pb o="71" file="0095" n="95" rhead="LIBRO I."/>
ſarebbono però più deboli, ſe la ſerie, allargataſi <lb/>alquanto più, foſſe tenuta ferma in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s1018" xml:space="preserve">e più an-<lb/>cora, ſe foſſe tenuta ferma in <emph style="it">s</emph>; </s>
  <s xml:id="echoid-s1019" xml:space="preserve">e più, ſe in <emph style="it">t</emph>; <lb/></s>
  <s xml:id="echoid-s1020" xml:space="preserve">così che allargataſi la ſerie fino in O, diverreb-<lb/>be la preſſion nulla. </s>
  <s xml:id="echoid-s1021" xml:space="preserve">E qui ſimilmente ſe l’ inter-<lb/>vallo N<emph style="it">r</emph> foſse inſinitamente piccolo, infinita-<lb/>mente piccola ſarebbe anche la differenza, che <lb/>paſſerebbe tra gl’ impulſi in N e gl’ impulſi in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s1022" xml:space="preserve"><lb/>e però, traſcurandoſi tal differenza, ſi direbbe, <lb/>la preſſion della ſerie eſſere ſempre eguale a ſe <lb/>ſteſſa per tutto l’ intervallo N<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s1023" xml:space="preserve">il che pure po-<lb/>trebbe trasferirſi anche all’ intervallo <emph style="it">rs</emph>, et al <emph style="it">st</emph>, <lb/>e a tutti gli altri, che ſeguono fino in O. </s>
  <s xml:id="echoid-s1024" xml:space="preserve">Io non <lb/>credo, che niente poſſa eſſer più chiaro. </s>
  <s xml:id="echoid-s1025" xml:space="preserve">Ma voi <lb/>intanto dell’ elaſtro AC, et io della ſerie EN, <lb/>non altrimenti abbiam ragionato, che conſideran-<lb/>dogli come riſtretti, e tenuti fermi dai globi C <lb/>et N. </s>
  <s xml:id="echoid-s1026" xml:space="preserve">Aſpetto, che mi diciate dei movimenti lo-<lb/>ro, o comparandoli inſieme, o ſpiegandoli ſepa-<lb/>ratamente. </s>
  <s xml:id="echoid-s1027" xml:space="preserve">Difficile impreſa, riſpoſi io, e da non <lb/>uſcirne felicemente, ſarebbe quella di voler ſpie-<lb/>gare ſeparatamente il movimento, e la ragione, <lb/>e i modi di ciaſcuna ſerie, o ſia EN, o ſia AC; </s>
  <s xml:id="echoid-s1028" xml:space="preserve"><lb/>che già conſidero AC come una ſerie di un’ ela-<lb/>ſtro ſolo. </s>
  <s xml:id="echoid-s1029" xml:space="preserve">Perciocchè la natura della elaſticità è <lb/>oſcuriſſima; </s>
  <s xml:id="echoid-s1030" xml:space="preserve">et oltre a ciò ſecondo la varietà de <lb/>corpi, e degli allargamenti loro è tanto varia, che <lb/>par, che sſugga ogni legge. </s>
  <s xml:id="echoid-s1031" xml:space="preserve">E per l’ iſteſſa ragio-<lb/>ne ſarebbe anche difficiliſſimo il comparare i mo-<lb/>vimenti dell’ una ſerie coi movimenti dell’ altra,
<pb o="72" file="0096" n="96" rhead="DELLA FORZA DE’ CORPI"/>
ſe non ſi riduceſſero prima molte coſe all’ egua-<lb/>lità, onde foſſe poi meno impedita la compara-<lb/>zione. </s>
  <s xml:id="echoid-s1032" xml:space="preserve">Per accoſtarmi dunque alla voſtra diman-<lb/>da, io voglio, che noi fingiamo che i quattro <lb/>elaſtri della ſerie EN, e l’ altro della ſerie AC, <lb/>ſieno tutti tra loro eguali di grandezza, e di ela-<lb/>ſticità, e ſieno in oltre egualmente riſtretti, così <lb/>che eguali pur ſieno le baſi EG, GI, IL, LN, <lb/>AC. </s>
  <s xml:id="echoid-s1033" xml:space="preserve">In queſta egualità di coſe ſi crede da i più, <lb/>che le due ſerie EN, AC, ſtando chiuſe e ferme, <lb/>debbano premere egualmente i due globi N, e <lb/>C; </s>
  <s xml:id="echoid-s1034" xml:space="preserve">quantunque l’ una ſia compoſta di quattro ela. <lb/></s>
  <s xml:id="echoid-s1035" xml:space="preserve">ſtri, l’ altra di uno ſolo. </s>
  <s xml:id="echoid-s1036" xml:space="preserve">Il che non dee farvi <lb/>meraviglia, poichè ſebben pare, che il globo C <lb/>ſia premuto da un’ elaſtro ſolo, il globo N da <lb/>quattro, e per ciò debbano le preſſioni eſſere <lb/>diſeguali; </s>
  <s xml:id="echoid-s1037" xml:space="preserve">non è però così. </s>
  <s xml:id="echoid-s1038" xml:space="preserve">Poſciachè il globo N <lb/>non è veramente premuto, che da un’ elaſtro <lb/>ſ<unsure/>olo LMN, o più toſto dall’ eſtremità ſola N <lb/>dell’ elaſtro LMN, ſiccome il globo C è premu-<lb/>to dalla eſtremità ſola C dell’ elaſtro ABC; </s>
  <s xml:id="echoid-s1039" xml:space="preserve">con-<lb/>cioſiachè le altre due eſtremità L et A premano <lb/>al contrario, eſſendo ſoſtenute immobilmente, <lb/>quella dal ſeguente elaſtro IKL, e queſta dal mu-<lb/>ro XY. </s>
  <s xml:id="echoid-s1040" xml:space="preserve">Mi ricordo, diſſe allora il Signor Mar-<lb/>cheſe, di aver’ udito dir ciò altre volte, e par-<lb/>mi veramente, che eſſendo gli elaſtri tutti della <lb/>ſerie EN in un perfetto equilibrio, e però ſoſte-<lb/>nendoſi l’ un l’ altro, ciò faccia, che non poſ-<lb/>ſa pervenire al globo N, ſe non la preſſione del
<pb o="73" file="0097" n="97" rhead="LIBRO I."/>
primo elaſtro LMN. </s>
  <s xml:id="echoid-s1041" xml:space="preserve">Le preſſioni de’ ſeguenti e-<lb/>laſtri ſono a lui, come ſe non foſſero. </s>
  <s xml:id="echoid-s1042" xml:space="preserve">Io ſono <lb/>dunque perſuaſo, che non potendo ſpanderſi le <lb/>due ſerie EN, AC, premeranno egualmente i due <lb/>globi N e C. </s>
  <s xml:id="echoid-s1043" xml:space="preserve">Ma ſe ſi levaſſero le potenze, che <lb/>tengono immobili i due globi, e le ſerie ſubita-<lb/>mente ſi ſpandeſſero, cacciando i globi ſteſſi, che <lb/>ſarebbe dei lor movimenti? </s>
  <s xml:id="echoid-s1044" xml:space="preserve">Io ſo, per quanto mi <lb/>ricorda aver letto ne voſtri Comentarj, che voi a-<lb/>vete ſopra ciò alcune opinioni, che non da tutti <lb/>vi ſono concedute. </s>
  <s xml:id="echoid-s1045" xml:space="preserve">Anzi mi ſon concedute da. <lb/></s>
  <s xml:id="echoid-s1046" xml:space="preserve">pochi, riſpoſi; </s>
  <s xml:id="echoid-s1047" xml:space="preserve">ne io me ne maraviglio; </s>
  <s xml:id="echoid-s1048" xml:space="preserve">poichè <lb/>conſiderando, che elle ſono contrarie al famoſo <lb/>Bernulli, ardiſco appena di concederle io a me <lb/>medeſimo; </s>
  <s xml:id="echoid-s1049" xml:space="preserve">di che potete comprendere, che non <lb/>lieve ragione, almeno a giudizio mio, debba ſo-<lb/>ſtenerle, potendomi parer vere contra un’ autori-<lb/>tà così grande. </s>
  <s xml:id="echoid-s1050" xml:space="preserve">Ma per procedere con chiarezza, <lb/>e mandare innanzi, come ſuol farſi, le coſe, che <lb/>ſono fuori di controverſia; </s>
  <s xml:id="echoid-s1051" xml:space="preserve">dovete avvertire, che <lb/>ſe ſi levi la potenza, che tiene immobile il globo <lb/>C, l’ elaſtro ABC, ſpandendoſi incontinente, cac-<lb/>cierà il globo C, e ſeguitandolo poi ſempre con l’ <lb/>eſtremità C, lo verrà ſempre ſollecitando con altri <lb/>ed altri impulſi, e producendo in eſſo altre ed altre <lb/>velocità, finchè giungaſi in D; </s>
  <s xml:id="echoid-s1052" xml:space="preserve">dove l’ elaſtro con-<lb/>ſeguita avendo la ſua natural larghezza, ceſſeran <lb/>no tutti gl’ impulſi; </s>
  <s xml:id="echoid-s1053" xml:space="preserve">e allora il globo ſi ſepare-<lb/>rà dall’ eſtremità C dell’ elaſtro, et andrà via ri-<lb/>tenendo quella velocità, che ſi troverà avere per
<pb o="74" file="0098" n="98" rhead="DELLA FORZA DE’ CORPI"/>
tutto lo ſpazio CD acquiſtata. </s>
  <s xml:id="echoid-s1054" xml:space="preserve">Donde potete fa-<lb/>cilmente comprendere, come il globo C ſcorrendo <lb/>da C fino in D, dovrà continuamente affrettarſi <lb/>a cagione degl’ impulſi continuamente ripetuti <lb/>dall’ elaſtro; </s>
  <s xml:id="echoid-s1055" xml:space="preserve">giunto in D ſi fuggirà via con moto <lb/>equabile. </s>
  <s xml:id="echoid-s1056" xml:space="preserve">E lo ſteffo vuol dirſi anche della ſerie <lb/>EN, la quale ſpandendoſi caccerà il globo N, et <lb/>inſeguendolo tuttavia con l’ eſtremità N, lo andrà <lb/>con altri, ed altri impulſi affrettando fino in O. <lb/></s>
  <s xml:id="echoid-s1057" xml:space="preserve">Ne finquì credo debba poter naſcere controver-<lb/>ſia; </s>
  <s xml:id="echoid-s1058" xml:space="preserve">ma quante ne naſceranno, ſe noi ci mettere-<lb/>mo a voler comparare inſieme gli ſpandimenti del-<lb/>le due ſerie Avendo io dette queſte parole, e <lb/>già diſponendomi di paſſar più avanti, eccoti un <lb/>ſervo del Signor Governatore, il qual viene ſigni-<lb/>ficandoei, eſſere giunta allora la Signora Princi-<lb/>peſſa, e che avendo inteſo dal Signor Governato-<lb/>re, che noi quivi eravamo, deſiderava grandemen-<lb/>te di vederci. </s>
  <s xml:id="echoid-s1059" xml:space="preserve">Perchè levandoci in piè ſubito tut-<lb/>ti e due, e domandando al ſervo, con cui ella <lb/>foſſe, riſpoſe ch’ ell’ era con due ſignori, e parea <lb/>diſpoſta di venir quivi ella ſteſſa a ritrovarci. </s>
  <s xml:id="echoid-s1060" xml:space="preserve">II <lb/>perchè penſammo di andarle toſto incontro; </s>
  <s xml:id="echoid-s1061" xml:space="preserve">e <lb/>fatti pochi paſſi la vedemmo, che veniva tutta <lb/>lieta verſo noi col Signor D. </s>
  <s xml:id="echoid-s1062" xml:space="preserve">Niccola di Martino, <lb/>e col Signor D. </s>
  <s xml:id="echoid-s1063" xml:space="preserve">Franceſco Serao; </s>
  <s xml:id="echoid-s1064" xml:space="preserve">la quale come <lb/>toſto ci vide: </s>
  <s xml:id="echoid-s1065" xml:space="preserve">bene ſta, diſſe ſorridendo, voi <lb/>volevate oggi ſorprender m<unsure/>e, e noi abbiamo, non <lb/>volendo, ſorpreſo voi. </s>
  <s xml:id="echoid-s1066" xml:space="preserve">Et io dopo averla riveren-<lb/>temente ſalutata, non ſo, diſſi, qual delle due co-
<pb o="75" file="0099" n="99" rhead="LIBRO I."/>
ſe ci doveſſe eſſere (acciocchè io vi riſponda an-<lb/>che per queſto giovane) più cara, o il ſorpren-<lb/>der voi, o l’ eſſere da voi ſorpreſi; </s>
  <s xml:id="echoid-s1067" xml:space="preserve">che nell’ una <lb/>dovea piacerne la diligenza noſtra, nell’altra ne <lb/>piace la fortuna. </s>
  <s xml:id="echoid-s1068" xml:space="preserve">Ma che è queſto, che voi ſiete <lb/>venuta tanto più preſto di quello avviſaſte jeri? <lb/></s>
  <s xml:id="echoid-s1069" xml:space="preserve">Io non ho ſaputo, riſpoſe ella, reſiſtere alla bel-<lb/>lezza del cielo, così ſereno, come vedete, e alla <lb/>ſoavità dell’ aria, che mi invitavano; </s>
  <s xml:id="echoid-s1070" xml:space="preserve">et anche la <lb/>prontezza del Signor D. </s>
  <s xml:id="echoid-s1071" xml:space="preserve">Serao mi ha moſſa, che <lb/>già era preſto di accompagnarmi; </s>
  <s xml:id="echoid-s1072" xml:space="preserve">con l’ ajuto del <lb/>quale ho potuto u<unsure/>rar meco il noſtro Signor D. </s>
  <s xml:id="echoid-s1073" xml:space="preserve">Ni-<lb/>cola, che pareva aver’ altro in penſiero. </s>
  <s xml:id="echoid-s1074" xml:space="preserve">Ma io <lb/>non vorrei, qua giugnendo, eſſere ſtata importu-<lb/>na, e aver turbati i voſtri ragionamenti. </s>
  <s xml:id="echoid-s1075" xml:space="preserve">Anziop-<lb/>portuniſſimamente, riſpoſi io, ſiete giunta, per-<lb/>chè ſarete cagione, ch’ io ceſſi da un ragionamen-<lb/>to, in cui era entrato mal volentieri. </s>
  <s xml:id="echoid-s1076" xml:space="preserve">Piuttoſto, <lb/>diſſe allora il Signor Marcheſe, ſiete voi oppor <lb/>tuniſſima, perchè vorrete eſſer cagione, che egli <lb/>lo proſeguiſca. </s>
  <s xml:id="echoid-s1077" xml:space="preserve">Spiacemi, diſſe allora la Signora <lb/>Principeſſa, di eſſere opportuna per due ragioni <lb/>tanto contrarie. </s>
  <s xml:id="echoid-s1078" xml:space="preserve">Ma potre’ io intendere qual ſia <lb/>coteſto ragionamento? </s>
  <s xml:id="echoid-s1079" xml:space="preserve">Signora, diſſi io allora, <lb/>queſto giovane quaſi a viva forza mi ha tratto a <lb/>dover dirgli il mio ſentimento intorno a tutta la <lb/>quiſtione della forza viva; </s>
  <s xml:id="echoid-s1080" xml:space="preserve">dal qual diſcorſo voi <lb/>ſapete, che io ſono tanto alieno, che ne voi, ne <lb/>queſti due ſignori, avete mai potuto indurmivi; </s>
  <s xml:id="echoid-s1081" xml:space="preserve">di <lb/>che mi pare di aver fatto gran peccato entrando-
<pb o="76" file="0100" n="100" rhead="DELLA FORZA DE’ CORPI"/>
vi ora; </s>
  <s xml:id="echoid-s1082" xml:space="preserve">però penſo di farne la penitenza, e il <lb/>ragionamento incominciato laſciar del tutto. </s>
  <s xml:id="echoid-s1083" xml:space="preserve">Il <lb/>peccato, riſpoſe la Signora Principeſſa, non ave-<lb/>te voi fatto ora, entrando in tal diſcorſo col Si-<lb/>gnor Marcheſe; </s>
  <s xml:id="echoid-s1084" xml:space="preserve">il faceſte allora, che non voleſte <lb/>entrarvi con noi; </s>
  <s xml:id="echoid-s1085" xml:space="preserve">di che farete la penitenza; </s>
  <s xml:id="echoid-s1086" xml:space="preserve">e <lb/>queſta ſarà di proſeguire il ragionamento, cui non <lb/>volevate incominciare. </s>
  <s xml:id="echoid-s1087" xml:space="preserve">E ſenza più commiſe ad <lb/>un ſuo familiare, che faceſſe quivi portar le ſedie; </s>
  <s xml:id="echoid-s1088" xml:space="preserve">le <lb/>quali mentre che ſi attendevano, io diſſi: </s>
  <s xml:id="echoid-s1089" xml:space="preserve">Signo-<lb/>ra, voi farete fare la penitenza a queſti due Signo-<lb/>ri, che dovranno aſcoltarmi. </s>
  <s xml:id="echoid-s1090" xml:space="preserve">Anzi, riſpoſe ella, <lb/>la faranno fare a voi più lunga, perchè io voglio, <lb/>che eſſi vi interroghino, quando lor piaccia, e <lb/>vi contradicano, qualunque volta non direte la <lb/>verità. </s>
  <s xml:id="echoid-s1091" xml:space="preserve">Signora, riſpoſi, queſti ſono uomini, che <lb/>per ſervirvi meglio mi contradiranno anche quan-<lb/>do io la dirò; </s>
  <s xml:id="echoid-s1092" xml:space="preserve">di che eſſi e la Signora Principeſsa <lb/>riſero. </s>
  <s xml:id="echoid-s1093" xml:space="preserve">Fatte queſte ed’ altre parole, et eſlendo le <lb/>ſedie recate, tutti ci mettemmo a ſedere, e la Si-<lb/>gnora Principeſſa a me rivolta, proſeguite, diſſe, <lb/>il ragionamento che avevate col Signor Marcheſe; <lb/></s>
  <s xml:id="echoid-s1094" xml:space="preserve">il quale ſe non potrete ſimre queſta mattina pri-<lb/>ma dell’ ora del deſinare, a cui io voglio, che <lb/>voi ſiate meco, potrete ſinirlo oggi, o queſta ſe-<lb/>ra; </s>
  <s xml:id="echoid-s1095" xml:space="preserve">perchè la Reina non viene a Baja, che doma-<lb/>ne aſſai tardi, et io oggi ſono ozioſa. </s>
  <s xml:id="echoid-s1096" xml:space="preserve">Signora <lb/>riſpoſi, ſappiate pure, che proſeguendo il ragio-<lb/>namento incominciato, poco mi reſta a dire; </s>
  <s xml:id="echoid-s1097" xml:space="preserve">e ſe <lb/>queſti ſignori non vorranno contradirmi in ogni
<pb o="77" file="0101" n="101" rhead="LIBRO I."/>
coſa, con poche parole avrò finita la quiſtione. <lb/></s>
  <s xml:id="echoid-s1098" xml:space="preserve">Imperocchè avendomi domandato il Signor Mar-<lb/>cheſe, come ſi miſuri la forza viva de corpi, io <lb/>gli ho riſpoſto, vana eſſere la ſua domanda, con-<lb/>cioſiachè niuna forza viva abbiano i corpi: </s>
  <s xml:id="echoid-s1099" xml:space="preserve">avere <lb/>in eſſi ſolamente alcune potenze, che produco-<lb/>no la velocità, et altre, che la diſtruggono; </s>
  <s xml:id="echoid-s1100" xml:space="preserve">al-<lb/>le quali ſe ſi aggiunga l’ inerzia, che è la con-<lb/>ſervazione del movimento e della quiete, niu-<lb/>na altra forza ſi ricerchi a qualſivoglia effetto <lb/>della natura. </s>
  <s xml:id="echoid-s1101" xml:space="preserve">E già agli effetti della gravi-<lb/>tà abbiamo veduto niente altro ricercarſi; </s>
  <s xml:id="echoid-s1102" xml:space="preserve">re-<lb/>ſta, che ſi vegga lo ſteſſo negli elaſtri. </s>
  <s xml:id="echoid-s1103" xml:space="preserve">Se queſto <lb/>reſta, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1104" xml:space="preserve">Serao, non reſta <lb/>così poco, come voi dite; </s>
  <s xml:id="echoid-s1105" xml:space="preserve">anzi parmi, che reſti <lb/>ogni coſa; </s>
  <s xml:id="echoid-s1106" xml:space="preserve">ſapendo noi, che Bernulli riduſſe tut-<lb/>ta la quiſtione a gli elaſtri ſoli. </s>
  <s xml:id="echoid-s1107" xml:space="preserve">E per queſto, riſ-<lb/>poſi io, la riduſſe a poco. </s>
  <s xml:id="echoid-s1108" xml:space="preserve">Perciocchè di qualun-<lb/>que maniera ſi apra una ſerie di elaſtri, e ſpinga <lb/>un corpo, che altro fa ella, ſe non produrre in <lb/>eſſo altre ed altre velocità, onde egli vie più s’ <lb/>affretta, e corre via? </s>
  <s xml:id="echoid-s1109" xml:space="preserve">il che tutto può beniſſimo <lb/>intenderſi, intendendo ſolamente alcuna potenza, <lb/>che produca nel corpo le velocità ſopraddette, e <lb/>l’ inerzia, che le conſervi. </s>
  <s xml:id="echoid-s1110" xml:space="preserve">E con ciò ſolo, ſe la <lb/>Signora Principeſſa me ne deſſe licenza, io po-<lb/>trei aver finito il mio ragionare. </s>
  <s xml:id="echoid-s1111" xml:space="preserve">Io la prego be-<lb/>ne, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1112" xml:space="preserve">Niccola, di non dar-<lb/>vela; </s>
  <s xml:id="echoid-s1113" xml:space="preserve">parendomi, che voi vogliate con coteſto vo-<lb/>ſtro argomento più toſto naſconderci attificioſa-
<pb o="78" file="0102" n="102" rhead="DELLA FORZA DE’ CORPI"/>
mente la forza viva, che levarla via. </s>
  <s xml:id="echoid-s1114" xml:space="preserve">Perciocchè <lb/>quando bene vi ſi concedeſſe, che il movimento <lb/>e l’ inerzia baſtaſſero a tutti gli effetti della na-<lb/>tura; </s>
  <s xml:id="echoid-s1115" xml:space="preserve">chi dice a voi, che ad avere queſt’ iſteſſo <lb/>movimento non ſia neceſſaria la forza viva? </s>
  <s xml:id="echoid-s1116" xml:space="preserve">e pe-<lb/>rò che il movimento non la naſconda per così di-<lb/>re ſotto di ſe? </s>
  <s xml:id="echoid-s1117" xml:space="preserve">Et io ſo bene, che i più dei <lb/>Leibniziani, i quali ſono ſtati i primi a introdur-<lb/>re una tal forza, hanno creduto, che ella ſoprag-<lb/>giunga al movimento, e alla velocità; </s>
  <s xml:id="echoid-s1118" xml:space="preserve">immagi-<lb/>nando, che la potenza produca nel corpo la ve-<lb/>locità, a cui venga dietro la forza viva. </s>
  <s xml:id="echoid-s1119" xml:space="preserve">Ma voi <lb/>ſapete ancora, quanto ſon varj in queſto argo-<lb/>mento, e come contraſtano più tra loro, che con <lb/>Carteſio. </s>
  <s xml:id="echoid-s1120" xml:space="preserve">Perchè non potrebbe egli adunque uſci-<lb/>re al mondo un Leibniziano, il quale diceſſe, che <lb/>la potenza produce prima nel corpo la forza vi-<lb/>va, e a queſta poi vien dietro la velocità? </s>
  <s xml:id="echoid-s1121" xml:space="preserve">e ciò <lb/>poſto ben vedete, che negando quella forza viva, <lb/>che ſegue la velocità, potrebbe reſtar luogo a <lb/>quell’ altra, che la precede. </s>
  <s xml:id="echoid-s1122" xml:space="preserve">Io credo, riſpoſi al-<lb/>lora ſorridendo, che il Leibniziano, che voi di-<lb/>te, ſia già uſcito; </s>
  <s xml:id="echoid-s1123" xml:space="preserve">parendomi, che il Padre Ric-<lb/>cati, matematico illuſtre, e famoſo di quella ſcuo-<lb/>la, appunto inſegni, che la potenza produce nel <lb/>corpo la forza viva, e da queſta poi naſce la ve-<lb/>locità; </s>
  <s xml:id="echoid-s1124" xml:space="preserve">almeno così ne parla per tutto, che pare, <lb/>che lo ſupponga. </s>
  <s xml:id="echoid-s1125" xml:space="preserve">Egli vorrà dunque, diſſe quivi la <lb/>Signora Principeſſa, che la forza viva ſia proporz o-<lb/>nale alla velocità, dovendo ſempre la cauſa eſſe-
<pb o="79" file="0103" n="103" rhead="LIBRO I."/>
re proporzionale all’ effetto, che da lei naſce. </s>
  <s xml:id="echoid-s1126" xml:space="preserve">E <lb/>ſe così è, mal ſoſterrà le parti della ſua ſcuola <lb/>Nò, Signora, riſpoſi; </s>
  <s xml:id="echoid-s1127" xml:space="preserve">perciocchè egli volge le <lb/>coſe, e le piega a piacer ſuo. </s>
  <s xml:id="echoid-s1128" xml:space="preserve">Vuole, che la po-<lb/>tenza produca la forza viva, e così anche vuole,<unsure/> <lb/>che debba eſſerle proporzionale, dovendo ſempre <lb/>la cauſa, come voi dicevate, eſſere proporziona-<lb/>le all’ effetto, ch’ ella produce; </s>
  <s xml:id="echoid-s1129" xml:space="preserve">ma non vuol già, <lb/>che la forza viva produca la velocità; </s>
  <s xml:id="echoid-s1130" xml:space="preserve">ſe la trae <lb/>dietro bensì, ma come un conſeguente, non co-<lb/>me un’ effetto. </s>
  <s xml:id="echoid-s1131" xml:space="preserve">Per queſto modo trova via di non <lb/>farla proporzionale alla velocità. </s>
  <s xml:id="echoid-s1132" xml:space="preserve">Se la forza vi-<lb/>va, diſſe allora la Signora Principeſſa, non pro-<lb/>duce la velocità, che dovrà ella poter produrre? <lb/></s>
  <s xml:id="echoid-s1133" xml:space="preserve">E ſe non può produr nulla, per qual ragione la <lb/>chiameremo noi forza? </s>
  <s xml:id="echoid-s1134" xml:space="preserve">Vorrete voi, diſſe quivi <lb/>il Signor D. </s>
  <s xml:id="echoid-s1135" xml:space="preserve">Nicola, contender del nome? </s>
  <s xml:id="echoid-s1136" xml:space="preserve">Non <lb/>del nome, riſpoſe ella, ma della coſa; </s>
  <s xml:id="echoid-s1137" xml:space="preserve">poichè <lb/>quello, che non può produr nulla, non ha ne il <lb/>nome di forza, ne la natura. </s>
  <s xml:id="echoid-s1138" xml:space="preserve">Sebbene a intender <lb/>meglio l’ opinione di così celebre matematico, <lb/>io voglio, che mi dichiariate un’ altro dubio. </s>
  <s xml:id="echoid-s1139" xml:space="preserve"><lb/>Se la potenza, per eſempio, la gravità, produce <lb/>nel corpo la forza viva, dovrà certamente la for-<lb/>za viva eſſere proporzionale all’ azione della gra-<lb/>vità ſteſſa; </s>
  <s xml:id="echoid-s1140" xml:space="preserve">ora l’ azione della gravità, continvan-<lb/>doſi nel tempo, et eſſendo in ogni punto di tem-<lb/>po la medeſima, dee proporzionarſi al tempo; </s>
  <s xml:id="echoid-s1141" xml:space="preserve">dun-<lb/>que dovrà anche proporzionarſi al tempo la for-<lb/>z<unsure/>a viva; </s>
  <s xml:id="echoid-s1142" xml:space="preserve">la quale, ſe è proporzionale al tempo,
<pb o="80" file="0104" n="104" rhead="DELLA FORZA DE’ CORPI"/>
come potrebbe non eſſerlo aliche alla velocità, <lb/>che pur ſegue l’ iſteſſa proporzione? </s>
  <s xml:id="echoid-s1143" xml:space="preserve">La ragione, <lb/>diſſe il Signor D. </s>
  <s xml:id="echoid-s1144" xml:space="preserve">Nicola, è aſſai ſottile; </s>
  <s xml:id="echoid-s1145" xml:space="preserve">ma voi <lb/>non vincerete per ciò di ſottigliezza il Padre Ric-<lb/>cati, il qual vedete, con che ingegno ſe ne ſpe-<lb/>diſce. </s>
  <s xml:id="echoid-s1146" xml:space="preserve">L’ azione della gravità non è meno con-<lb/>tinvata nello ſpazio, che nel tempo; </s>
  <s xml:id="echoid-s1147" xml:space="preserve">e non è me-<lb/>no la medeſima in ogni punto dello ſpazio, di <lb/>quello, che ſia in ogni punto del tempo; </s>
  <s xml:id="echoid-s1148" xml:space="preserve">ſarà <lb/>dunque libero a ciaſcuno il ſarla proporzionale <lb/>o allo ſpazio od al tempo. </s>
  <s xml:id="echoid-s1149" xml:space="preserve">Ora egli valendoſi di <lb/>queſta libertà, per ſervire all’ opinion ſua, fa l’ <lb/>azione della gravità proporzionale allo ſpazio, <lb/>e così anche la forza viva. </s>
  <s xml:id="echoid-s1150" xml:space="preserve">Dico proporzionale <lb/>allo ſpazio, laſciando ſtare la potenza, che ſup-<lb/>pongo ora eſſere ſempre la ſteſſa. </s>
  <s xml:id="echoid-s1151" xml:space="preserve">Per altro ſe <lb/>ella variaſſe, dovrebbe dirſi l’ azione, e ſimilmen-<lb/>te la forza viva, proporzionale non ſolo allo ſpa-<lb/>zio, ma anche alla potenza, e vorrebbe miſurarſi <lb/>moltiplicando l’ uno per l’ altra. </s>
  <s xml:id="echoid-s1152" xml:space="preserve">Ma tornando al-<lb/>la ſuppoſizione, che la potenza non varj; </s>
  <s xml:id="echoid-s1153" xml:space="preserve">la for-<lb/>za viva, eſſendo proporzionale all’ azione, ſarà <lb/>proporzionale allo ſpazio, e per conſeguente al <lb/>quadrato della velocità. </s>
  <s xml:id="echoid-s1154" xml:space="preserve">Così tutto ſi accomo-<lb/>da molto bene, dicendo che la potenza produce <lb/>non la velocità, ma una forza viva, a cui po-<lb/>ſcia tien dietro la velocità. </s>
  <s xml:id="echoid-s1155" xml:space="preserve">Piacemi, diſſe la Si-<lb/>gnora Principeſſa, di aver inteſo un’ opinione, <lb/>quanto a me, del tutto nuova; </s>
  <s xml:id="echoid-s1156" xml:space="preserve">e come due for-<lb/>ze vive ci ſi preſentino da’ Leibniziani, l’ una,
<pb o="81" file="0105" n="105" rhead="LIBRO I."/>
che ſegue la velocità, l’ altra, che la previene; <lb/></s>
  <s xml:id="echoid-s1157" xml:space="preserve">indi verſo me ſorridendo, a voi ſta, diſſe, di <lb/>liberarvi dall’ una e dall’ altra. </s>
  <s xml:id="echoid-s1158" xml:space="preserve">Io credeva, ri-<lb/>ſpoſi, di dover combattere contro quella forza <lb/>viva, che da principio introduſſero i Leibniziani, <lb/>non contro tutte le forze, che poſſono venire in <lb/>mente a chi che ſia, e che ciaſcuno può ad’ ar-<lb/>bitrio ſuo chiamar forze vive; </s>
  <s xml:id="echoid-s1159" xml:space="preserve">perciocchè queſto <lb/>è cangiar la quiſtione, ritenendo lo ſteſſo nome. </s>
  <s xml:id="echoid-s1160" xml:space="preserve"><lb/>Per altro io poſſo ben dirvi, che il Signor Mar-<lb/>cheſe di Campo Hermoſo, et io, abbiamo fin’ o-<lb/>ra ſpiegato tutti gli effetti della gravità, e per quan-<lb/>to è paruto a noi, aſſai comodamente; </s>
  <s xml:id="echoid-s1161" xml:space="preserve">ne mai <lb/>ci ſiamo avveduti d’ aver biſogno d’ alcuna di co-<lb/>teſte due forze, ne della ſuſſeguente, ne della <lb/>preveniente. </s>
  <s xml:id="echoid-s1162" xml:space="preserve">Se la coſa v’ è andata bene, diſſe <lb/>il Signor D. </s>
  <s xml:id="echoid-s1163" xml:space="preserve">Nicola, nella gravità, non vi an-<lb/>drà forſe così bene negli elaſtri. </s>
  <s xml:id="echoid-s1164" xml:space="preserve">Perciocchè ſpan-<lb/>dendoſi una ſerie di elaſtri, e urtando alcun cor-<lb/>po, ſe voi mi dite, che produce in eſſo una cer-<lb/>ta velocità, e non altro; </s>
  <s xml:id="echoid-s1165" xml:space="preserve">a voi ſtarà di dimoſtra-<lb/>re, che queſta velocità ſia proporzionale alla ſe-<lb/>rie ſteſſa, com’ eſſer dee ogni effetto alla ſua cau-<lb/>ſa; </s>
  <s xml:id="echoid-s1166" xml:space="preserve">il che non potendo per voi dimoſtrarſi, vi fa-<lb/>rà d’ uopo confeſſare, che la ſerie non produce <lb/>la velocità, ma altro; </s>
  <s xml:id="echoid-s1167" xml:space="preserve">e dovrete finalmente ri-<lb/>correre a quella forza viva, che dite preveniente. </s>
  <s xml:id="echoid-s1168" xml:space="preserve"><lb/>Io non ſo, riſpoſi, s’ io ſia così obbligato, co-<lb/>me a voi pare, di dimoſtrarvi, che la velocità, <lb/>eſſendo prodotta daila ſerie, debba per ciò eſſere
<pb o="82" file="0106" n="106" rhead="DELLA FORZA DE’ CORPI"/>
proporzionale alla ſerie; </s>
  <s xml:id="echoid-s1169" xml:space="preserve">perciocchè ſebben dice-<lb/>ſi l’ effetto dover’ eſſere proporzionale alla cauſa, <lb/>che lo produce, vuol però intenderſi, che ſia <lb/>proporzionale non alla cauſa, ma all’ azione di <lb/>eſſa. </s>
  <s xml:id="echoid-s1170" xml:space="preserve">Tuttavia acciocchè non diciate, ch’ io fugga <lb/>la difficoltà, voglio eſporvi brevemente una ipo-<lb/>teſi a mio giudizio comodiſſima, per cui vedrete, <lb/>la ſerie degli elaſtri produrre una velocità a lei <lb/>ſteſſa proporzionale; </s>
  <s xml:id="echoid-s1171" xml:space="preserve">ne dico io già, che l’ ipo-<lb/>teſi ſia vera; </s>
  <s xml:id="echoid-s1172" xml:space="preserve">che ſo bene poter farſene infinite, <lb/>tutte comodiſſime, e tutte falſe; </s>
  <s xml:id="echoid-s1173" xml:space="preserve">aſpetterò ſolo, <lb/>che altri mi dimoſtri, che ſia aſſurda, e da non <lb/>potere ammetterſi in niun modo. </s>
  <s xml:id="echoid-s1174" xml:space="preserve">Avendo fin <lb/>quì detto, pregai il Signor Marcheſe di Campo <lb/>Hermoſo, che traeſſe fuori la carta, in cui era-<lb/>no diſegnate le figure, ſopra le quali s’ era tra <lb/>noi ragionato. </s>
  <s xml:id="echoid-s1175" xml:space="preserve">La qual carta volle toſto vedere <lb/>la Signora Principeſſa, e guardando attentamen-<lb/>te alla ſeconda figura, ben riconoſco, diſſe, gli <lb/>elaſtri, di cui ragionavate, diviſi in due ſerie EN, <lb/>AC, quella di quattro, e queſta d’ un elaſtro ſo-<lb/>lo; </s>
  <s xml:id="echoid-s1176" xml:space="preserve">appoggiate amendue ad un piano immobile. <lb/></s>
  <s xml:id="echoid-s1177" xml:space="preserve">XY; </s>
  <s xml:id="echoid-s1178" xml:space="preserve">et eſsendo eguali tutti gli elaſtri tra loro, <lb/>et egualmente chiuſi, m’ immagino, diſse a me <lb/>rivolta, che voi vogliate, che le due ſerie, apren-<lb/>doſi ad un tratto, caccino i globi N, C; </s>
  <s xml:id="echoid-s1179" xml:space="preserve">et a. </s>
  <s xml:id="echoid-s1180" xml:space="preserve"><lb/>voi ſta di moſtrarci, come le velocità, che ſi pro-<lb/>ducono in queſti globi, poſsano eſsere propor-<lb/>zionali alle due ſerie, per cui ſi producono. </s>
  <s xml:id="echoid-s1181" xml:space="preserve">Si <lb/>bene, riſpoſi io; </s>
  <s xml:id="echoid-s1182" xml:space="preserve">così veramente però, che i due
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globi ſieno eguali; </s>
  <s xml:id="echoid-s1183" xml:space="preserve">il che giova ſupporre, accioc-<lb/>chè la proporzione, che troveraſſi avere la velo-<lb/>cità dell’ uno alla velocità dell’ altro, non debba <lb/>afcriverſi ſe non alla proporzione, che tra loro <lb/>hanno le ſerie ſteſse. </s>
  <s xml:id="echoid-s1184" xml:space="preserve">Quel poi, che ſieno gl’in-<lb/>tervalli ſegnati con le lettere <emph style="it">r</emph>, <emph style="it">s</emph>, <emph style="it">t</emph>, e con quel-<lb/>le altre <emph style="it">m</emph>, <emph style="it">n</emph>, <emph style="it">o</emph>, intenderetelo ſenza fatica niuna <lb/>per le coſe ſteſse, che ſe ne diranno. </s>
  <s xml:id="echoid-s1185" xml:space="preserve">Allora la. <lb/></s>
  <s xml:id="echoid-s1186" xml:space="preserve">Signora Principeſsa ſenza aſpettar’ altro ordinò, <lb/>che più copie ſi faceſsero di quella figura, così che <lb/>ognuno poteſse averla ſotto de gli occhi, le quali <lb/>mentre che ſi facevano, il Signor Marcheſe di <lb/>Campo Hermoſo diſse: </s>
  <s xml:id="echoid-s1187" xml:space="preserve">Signora, io non ſo, ſe <lb/>voi abbiate dato anche a me licenza di interroga-<lb/>re il Signor Zanotti, e di contradirgli; </s>
  <s xml:id="echoid-s1188" xml:space="preserve">ſo bene, <lb/>che non mi negherete quella di pregarlo. </s>
  <s xml:id="echoid-s1189" xml:space="preserve">Anzi di <lb/>far tutto, che a voi piaccia; </s>
  <s xml:id="echoid-s1190" xml:space="preserve">riſpoſe allora la Si-<lb/>gnora Principeſsa. </s>
  <s xml:id="echoid-s1191" xml:space="preserve">E il Signor Marcheſe a me. </s>
  <s xml:id="echoid-s1192" xml:space="preserve"><lb/>volgendoſi, vi prego dunque, diſse, a non laſciar-<lb/>vi cadere della memoria una diffinizione della for-<lb/>za viva, che ancora non mi avete ſpiegata, ben-<lb/>chè mi abbiate detto, che è molto degna d’ eſse-<lb/>re inteſa. </s>
  <s xml:id="echoid-s1193" xml:space="preserve">Qual? </s>
  <s xml:id="echoid-s1194" xml:space="preserve">diſſi. </s>
  <s xml:id="echoid-s1195" xml:space="preserve">Quella, riſpoſe il Signor <lb/>Marcheſe, del Padre Riccati; </s>
  <s xml:id="echoid-s1196" xml:space="preserve">di cui mi ſono ol-<lb/>tremodo invogliato, udendo poc’ anzi quella ſot-<lb/>tiliſſima opinion ſua. </s>
  <s xml:id="echoid-s1197" xml:space="preserve">Io temo, riſpoſi, che voi <lb/>mi farete uſcir di quiſtione, ſe vorrete, ch’ io va-<lb/>da dietro a quella diffinizione; </s>
  <s xml:id="echoid-s1198" xml:space="preserve">e già egli la ſpiega <lb/>ampiamente in quel ſuo lungo volume, che ſareb-<lb/>be ſtato men lungo, ſe ſeguendo la diffinizione.</s>
  <s xml:id="echoid-s1199" xml:space="preserve">
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degli altri aveſse voluto piuttoſto trattar la qui-<lb/>ſtione antica, che farne una nuova. </s>
  <s xml:id="echoid-s1200" xml:space="preserve">E’pare, diſ-<lb/>ſe quivi la Signora Principeſsa ridendo, che voi <lb/>abbiate non ſo quale ſdegnuzzo contra quel libro. <lb/></s>
  <s xml:id="echoid-s1201" xml:space="preserve">No, Signora, riſpoſi; </s>
  <s xml:id="echoid-s1202" xml:space="preserve">che anzi io lo ſtimo gran-<lb/>diſſimamente, e lo pongo tra i più belli, che ſie-<lb/>no uſciti ſopra tale argomento; </s>
  <s xml:id="echoid-s1203" xml:space="preserve">quantunque e’ non <lb/>mi ſia gran fatto amico in alcuni luoghi Ma voi, <lb/>diſse la Signora Principeſsa, avrete ben riſpoſto <lb/>a quei luoghi. </s>
  <s xml:id="echoid-s1204" xml:space="preserve">No, Signora; </s>
  <s xml:id="echoid-s1205" xml:space="preserve">diſs’ io, poichè il libro <lb/>è ſommamente lungo: </s>
  <s xml:id="echoid-s1206" xml:space="preserve">et è poi tanto ſottile, e <lb/>tanto profondo, e pieno di tanti e così artificioſi <lb/>calcoli, che ho ſempre ſperato, che pochiſſimi il <lb/>leggerebbono. </s>
  <s xml:id="echoid-s1207" xml:space="preserve">Il Signor D. </s>
  <s xml:id="echoid-s1208" xml:space="preserve">Nicola, udendo que-<lb/>ſto, mettete pur me, diſse, tra i pochiſſimi; </s>
  <s xml:id="echoid-s1209" xml:space="preserve">per-<lb/>chè io l’ ho letto in gran parte, e ſe ho da dir-<lb/>vi il vero, aſsai m’ è piaciuto anche in quei luo-<lb/>ghi, ne quali, come voi dite, non vi è amico; </s>
  <s xml:id="echoid-s1210" xml:space="preserve"><lb/>perchè laſciando ſtare, ſe ſia vero o no, è cer-<lb/>tamente ingegnoſo fuor di modo, e ſottile tutto <lb/>ciò, ch’ egli inſegna. </s>
  <s xml:id="echoid-s1211" xml:space="preserve">Io voglio, diſse allora la <lb/>Signora Principeſsa, ad ogni modo veder’ un tal <lb/>libro; </s>
  <s xml:id="echoid-s1212" xml:space="preserve">a cui riſpoſe il Signor D. </s>
  <s xml:id="echoid-s1213" xml:space="preserve">Nicola: </s>
  <s xml:id="echoid-s1214" xml:space="preserve">l’ ha <lb/>ora il Signor D. </s>
  <s xml:id="echoid-s1215" xml:space="preserve">Felice Sabatelli, e il va, cred’ <lb/>io, leggendo col Signor Conte della Cueva. </s>
  <s xml:id="echoid-s1216" xml:space="preserve">Men-<lb/>tre ſi dicevano queſte coſe, erano già ſtate. </s>
  <s xml:id="echoid-s1217" xml:space="preserve"><lb/>fatte più copie della figura, che era ſeconda nel <lb/>foglio, et avendo ognuno nelle mani la ſua; </s>
  <s xml:id="echoid-s1218" xml:space="preserve"><lb/>udremo poi, diſſe la Signora Principeſſa, qual ſia <lb/>la diffinizione della forza viva del Padre Ricca-
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ti. </s>
  <s xml:id="echoid-s1219" xml:space="preserve">Afcoltiamo ora degli elaſtri. </s>
  <s xml:id="echoid-s1220" xml:space="preserve">Et io inconta-<lb/>nente cominciai. </s>
  <s xml:id="echoid-s1221" xml:space="preserve">Giacchè mi avete obbligato di <lb/>entrare contra mia voglia in una materia cotan-<lb/>to oſcura, e fino ad ora da così pochi trattata, <lb/>quale ſi è quella degli elaſtri, io vi proporrò una <lb/>opinione, che non dico eſſer vera, ma aſpetterò <lb/>di ſentir da voi altri, perchè ſi debba dir falſa. </s>
  <s xml:id="echoid-s1222" xml:space="preserve">Io <lb/>dunque, comparando inſieme le due ſerie, che <lb/>vedete deſcritte nella figura ſeconda, AC, EN, <lb/>ragiono di queſto modo. </s>
  <s xml:id="echoid-s1223" xml:space="preserve">L’ elaſtro ABC nell’ <lb/>aprirſi eccita con un certo impulſo il globo C, <lb/>producendo in eſſo una certa velocità; </s>
  <s xml:id="echoid-s1224" xml:space="preserve">onde que-<lb/>ſto in un tempetto di qualſiſia picciolezza ſcorre <lb/>uno ſpazietto C<emph style="it">m</emph>, picciolo eſſo pure di qual pic-<lb/>ciolezza vi aggrada; </s>
  <s xml:id="echoid-s1225" xml:space="preserve">e intanto che il globo C vie-<lb/>ne in <emph style="it">m</emph>, l’ elaſtro, che lo ſegue, s’ allarga egli <lb/>pure da C fino in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s1226" xml:space="preserve">Così avviene alla ſerie AC <lb/>nel primo aprirſi, che ella fà. </s>
  <s xml:id="echoid-s1227" xml:space="preserve">Vegniamo ora al-<lb/>la EN. </s>
  <s xml:id="echoid-s1228" xml:space="preserve">Non è alcun dubio, che queſta ancor nell’ <lb/>aprirſi ecciti con un certo impulſo il globo N. <lb/></s>
  <s xml:id="echoid-s1229" xml:space="preserve">E queſto impulſo par bene, che debba eſſer qua-<lb/>druplo di quello, onde è eccitato il globo C; </s>
  <s xml:id="echoid-s1230" xml:space="preserve"><lb/>concioſiacoſachè il globo C ſia ſpinto da un ſolo <lb/>elaſtro, il globo N da quattro, i quali quattro <lb/>elaſtri ſi aprono tutti ad un tempo, et aprendoſi <lb/>ſpingono tutti il globo. </s>
  <s xml:id="echoid-s1231" xml:space="preserve">Produceſi dunque nel <lb/>globo N velocità quadrupla di quella, che ſi pro-<lb/>duce nel globo C, per cui dee ſcorrere lo ſpa-<lb/>zietto N<emph style="it">r</emph> quadruplo dello ſpazietto C<emph style="it">m</emph> nello ſteſ-<lb/>ſo tempo; </s>
  <s xml:id="echoid-s1232" xml:space="preserve">e intanto che il globo N viene in <emph style="it">r</emph>,
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la ſerie, che lo ſegue, ſi allarga da N fino in <emph style="it">r</emph>. </s>
  <s xml:id="echoid-s1233" xml:space="preserve">E <lb/>qui è coſa facile a intenderſi, eziandio ſenza di-<lb/>moſtrazion niuna, che eſſendo l’ elaſtro ABC di-<lb/>latato fino in <emph style="it">m</emph>, e la ſerie EN fino in <emph style="it">r</emph>, ſi tro-<lb/>veranno tutti gli elaſtri allargati egualmente; </s>
  <s xml:id="echoid-s1234" xml:space="preserve">e <lb/>però ſopravvenendo al globo C, che già è in <emph style="it">m</emph>, <lb/>un’ altro impulſo dall’ elaſtro ABC; </s>
  <s xml:id="echoid-s1235" xml:space="preserve">e un’ altro <lb/>pure ſopravvenendone al globo N, che già è in. <lb/></s>
  <s xml:id="echoid-s1236" xml:space="preserve"><emph style="it">r</emph>, dalla ſerie EN, ſarà queſto ſimilmente quadru-<lb/>plo di quello, e produrrà un’ altra velocità altresì <lb/>quadrupla. </s>
  <s xml:id="echoid-s1237" xml:space="preserve">Dovrà dunque il globo N con le due <lb/>velocità, che avrà acquiſtate in N et <emph style="it">r</emph>, ſcorre-<lb/>re lo ſpazietto <emph style="it">rs</emph> quadruplo eſſo pure d<unsure/>ello ſpa-<lb/>zietto <emph style="it">mn</emph>, che ſarà ſcorſo nello ſteſſo tempo dal <lb/>globo C con le due velocità, che avrà egli acqui-<lb/>ſtate in C et <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s1238" xml:space="preserve">E ſe voi ſeguirete lo ſteſſo di-<lb/>ſcorſo, fin tanto che l’ elaſtro AC ſiaſi diſteſo <lb/>fino in D, la ſerie EN fino in O, ( eſſendo AD, <lb/>EO le larghezze loro naturali, queſta quadrupla <lb/>di quella ) voi troverete leggermente, che qua-<lb/>lunque volta al globo C ſi aggiunge una certa <lb/>velocità, un’ altra ſe ne aggiunge quadrupla al <lb/>globo N. </s>
  <s xml:id="echoid-s1239" xml:space="preserve">Io non dico, che la coſa vada così; </s>
  <s xml:id="echoid-s1240" xml:space="preserve"><lb/>vorrei ben ſapere come ſi dimoſtri il contrario. </s>
  <s xml:id="echoid-s1241" xml:space="preserve"><lb/>E ſe ella va pur così, biſogna ben dire, che il <lb/>globo N, come ſai<unsure/>à giunto in O, avrà una ve-<lb/>locità quadrupla di quella, che avrà il globo C <lb/>giunto in D. </s>
  <s xml:id="echoid-s1242" xml:space="preserve">Ne a tutto queſto ricercaſi altro, ſe <lb/>non la potenza, cioè l’ elaſticità degli elaſtri, <lb/>la qual produca certe velocità ne globi N, e C,
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e l’ inerzia de globi ſteſſi, che le conſervi. </s>
  <s xml:id="echoid-s1243" xml:space="preserve">Et <lb/>anche ſono gli effetti proporzionali alle cauſe lo-<lb/>ro, eſſendo da quattro elaſtri prodotta nel globo <lb/>N una velocità quadrupla di quella, che è pro-<lb/>dotta nel globo C da un’ elaſtro ſolo. </s>
  <s xml:id="echoid-s1244" xml:space="preserve">Qual’ i-<lb/>poteſi può eſſer più comoda? </s>
  <s xml:id="echoid-s1245" xml:space="preserve">Ne v’ è biſogno d’ <lb/>alcuna forza viva, ne di quella, che ſegue la <lb/>velocità, ne di quella, che la previene; </s>
  <s xml:id="echoid-s1246" xml:space="preserve">la qual <lb/>forza non dico che ſia aſſurda, che io non sò la <lb/>natura di eſſa; </s>
  <s xml:id="echoid-s1247" xml:space="preserve">ma l’ ho per inutile, e, fe voglia-<lb/>mo ſeguire quella ſemplicità, che rifiuta tutte le <lb/>coſe ſuperflue, da non ammetterſi; </s>
  <s xml:id="echoid-s1248" xml:space="preserve">et è certa-<lb/>mente una tal ſemplicità da feguirſi, quantun-<lb/>que i filoſofi ſe l’ abbian, cred’ io, introdotta più <lb/>toſto per comodo loro, che per onore della na-<lb/>tura. </s>
  <s xml:id="echoid-s1249" xml:space="preserve">Appena dette queſte parole, la Signora. <lb/></s>
  <s xml:id="echoid-s1250" xml:space="preserve">Principeſſa m’ interrogò dicendo: </s>
  <s xml:id="echoid-s1251" xml:space="preserve">vi ſarà egli <lb/>poi conceduto da tutti, che nell’ aprirſi della ſe-<lb/>rie EN ſi aprano ad un tempo tutti gli elaſtri, <lb/>che la compongono, e però tutti urtino il glo-<lb/>bo N? </s>
  <s xml:id="echoid-s1252" xml:space="preserve">perchè parmi di avere udito dire da alcu-<lb/>ni, che prima ſi apra il primo elaſtro LMN, e <lb/>poi gli altri di mano in mano. </s>
  <s xml:id="echoid-s1253" xml:space="preserve">Signora, riſpoſi, <lb/>il Padre Riccati, del cui libro già ſiete voglioſa, <lb/>e con ragione, il mi concede; </s>
  <s xml:id="echoid-s1254" xml:space="preserve">e credo, che lo <lb/>ſteſſo faranno tutti toltone aſſai pochi; </s>
  <s xml:id="echoid-s1255" xml:space="preserve">ma per <lb/>non ſervirmi dell’ autorità ſola, voglio, che av-<lb/>vertiate, che ogni elaſtro ne<unsure/>ll’ aprirſi perde ſem-<lb/>pre della ſua forza: </s>
  <s xml:id="echoid-s1256" xml:space="preserve">poichè dunque, eſſendo la <lb/>ſerie EN chiuſa et immobile, tutti gli elaſtri di
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eſſa ſi impediſcon l’ un l’ altro con forze egua-<lb/>li, ſe avvenga, che ella ſi apra, e per ciò apraſi il <lb/>primo elaſtro LMN, dovrà queſto ſcemar toſto <lb/>della forza ſua, e dovrà nello ſteſſo tempo l’ ela-<lb/>ſtro IKL, ſminuendogliſi l’ impedimento, allar-<lb/>garſi. </s>
  <s xml:id="echoid-s1257" xml:space="preserve">E per l’ iſteſſa ragione, aprendoſi il ſecon-<lb/>do elaſtro IKL, dovrà aprirſi anche il terzo, e <lb/>gli altri tutti. </s>
  <s xml:id="echoid-s1258" xml:space="preserve">E mi ricorda aver letto in quella <lb/>famoſa ſcrittura, che diede fuori Giovanni Ber-<lb/>nulli ſopra le leggi della comunicazione del mo-<lb/>to, che avendo quel grand’ uomo propoſto due <lb/>ſerie, una, ſe non m’ inganno, di dodici elaſtri, <lb/>et un’ altra di trè, le quali aprendoſi ſpingono <lb/>due corpi eguali; </s>
  <s xml:id="echoid-s1259" xml:space="preserve">e domandando, perchè quella <lb/>ſpinga il corpo ſuo più forte, che queſta; </s>
  <s xml:id="echoid-s1260" xml:space="preserve">riſ-<lb/>ponde che quella ſpinge il corpo non ſolamente <lb/>co’ trè primi elaſtri (con che lo ſpingerebbe egual-<lb/>mente, che l’ altra ſerie) ma anche con quegli <lb/>altri elaſtri, che ſeguono i trè primi. </s>
  <s xml:id="echoid-s1261" xml:space="preserve">Onde mo-<lb/>ſtra, che qualora una ſerie di elaſtri va ſpingen-<lb/>do un corpo, lo va ſpingendo, non con un ſo-<lb/>lo elaſtro, ma con tutti; </s>
  <s xml:id="echoid-s1262" xml:space="preserve">il che ſe fa nel proſe-<lb/>guimento di tutta la dilatazione, perchè non an-<lb/>che nel principio? </s>
  <s xml:id="echoid-s1263" xml:space="preserve">Senza che, ſe gli elaſtri della <lb/>ſerie doveſſero aprirſi l’ uno appreſſo l’ altro, po-<lb/>trebbe darſi una ſerie tanto lunga, che aprendoſi <lb/>il primo elaſtro doveſſe aſpettarſi un’ ora prima <lb/>che ſi apriſſe l’ ultimo, e intanto l’ ultimo non <lb/>ſpingerebbe ne urterebbe il corpo in niuna ma-<lb/>niera. </s>
  <s xml:id="echoid-s1264" xml:space="preserve">Avendo io detto ſinquì, mi tacqui; </s>
  <s xml:id="echoid-s1265" xml:space="preserve">e ta
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cendoſi ſimilmente gli altri, il Signor Marcheſe <lb/>di Campo Hermoſo così preſe a dire. </s>
  <s xml:id="echoid-s1266" xml:space="preserve">Moſtrerei <lb/>di far poco conto dell<unsure/>a licenza datami dalla Si-<lb/>gnora Principeſſa, ſe non me ne valeſſi, propo-<lb/>nendovi un picciol dubio, il qual vi prego, che <lb/>mi leviate dall’ animo, et è queſto. </s>
  <s xml:id="echoid-s1267" xml:space="preserve">Voi avete <lb/>detto, che gli elaſtri della ſerie EN, allargando-<lb/>ſi tutti ad un tempo, danno al globo N un’ im. <lb/></s>
  <s xml:id="echoid-s1268" xml:space="preserve">pulſo quadruplo di quello, che il globo C rice-<lb/>ve dall’ elaſtro ABC; </s>
  <s xml:id="echoid-s1269" xml:space="preserve">il che ſarebbe veriſſimo, <lb/>ſe tutti gli elaſtri della ſerie EN deſſero al globo <lb/>N un’ impulſo eguale; </s>
  <s xml:id="echoid-s1270" xml:space="preserve">ma queſto a me non par <lb/>vero; </s>
  <s xml:id="echoid-s1271" xml:space="preserve">perciocchè l’ impulſo del primo elaſtro LMN <lb/>non dovendo far’ altro che cacciar oltre il globo <lb/>N, ſi adopra tutto in eſſo globo; </s>
  <s xml:id="echoid-s1272" xml:space="preserve">la dove l’ im-<lb/>pulſo del ſecondo elaſtro IKL, dovendo cacciar’ <lb/>oltre non ſolo il globo, ma anche l’ elaſtro in-<lb/>terpoſto LMN, dee diſtribuirſi all’ uno et all’ al-<lb/>tro, così che ſolo una parte ne tocchi al globo N. </s>
  <s xml:id="echoid-s1273" xml:space="preserve"><lb/>E minor parte ancora gli toccherà dell’ impulſo, <lb/>che viene dal terzo elaſtro GHI, il quale oltre <lb/>il globo dee cacciar avanti anche due elaſtri di <lb/>più; </s>
  <s xml:id="echoid-s1274" xml:space="preserve">onde pare, che tanto minor impulſo rice-<lb/>ver debba il globo N da ciaſcun elaſtro della ſe-<lb/>rie, quanto ciaſcun elaſtro gli è più lontano. </s>
  <s xml:id="echoid-s1275" xml:space="preserve">Voi <lb/>che ſiete tanto felice nello ſpiegarvi, voglio, che <lb/>mi dichiariate queſto dubio. </s>
  <s xml:id="echoid-s1276" xml:space="preserve">Vedete, riſpoſi, la <lb/>felicità mia nello ſpiegarmi; </s>
  <s xml:id="echoid-s1277" xml:space="preserve">che ſe voi non mi <lb/>facevate ora queſta domanda, io mi dimentica-<lb/>va di dirvi ciò, che è per altro principaliſſimo;</s>
  <s xml:id="echoid-s1278" xml:space="preserve">
<pb o="90" file="0114" n="114" rhead="DELLA FORZA DE’ CORPI"/>
ed’ è, che quegli elaſtri, di cui trattiamo, ſi voglio-<lb/>no immateriali, et incorporei, e privi di ogni <lb/>maſſa. </s>
  <s xml:id="echoid-s1279" xml:space="preserve">E tali già gli propoſe l’ incomparabil Ber-<lb/>nulli, dopo cui niuno s’ è ardito di mutarli; </s>
  <s xml:id="echoid-s1280" xml:space="preserve">il <lb/>che ſe voi aveſte ſaputo, non vi ſarebbe venuto <lb/>in mente di dubitare, che l’ impulſo del ſecondo <lb/>elaſtro IKL doveſſe comunicarſi ſolo in parte al <lb/>globo N, impiegandoſi l’ altra parte a ſoſpinge-<lb/>re, e portar oltre l’ elaſtro interpoſto LMN; </s>
  <s xml:id="echoid-s1281" xml:space="preserve">per-<lb/>ciocchè eſſendo queſto privo di ogni maſſa, e non <lb/>eſſendo corpo, niuna parte dee toccargli dell’ im-<lb/>pulſo; </s>
  <s xml:id="echoid-s1282" xml:space="preserve">ſiccome urtando un’ uomo, e ſoſpingen-<lb/>dolo, niuna parte dell’ urto tocca all’ animo; </s>
  <s xml:id="echoid-s1283" xml:space="preserve">ben-<lb/>chè, andando oltre il corpo urtato, l’ animo l’ <lb/>accompagni; </s>
  <s xml:id="echoid-s1284" xml:space="preserve">e così urtandoſi un corpo, niuna <lb/>parte dell’ urto tocca agli accidenti di eſſo, per <lb/>eſempio alla rotondità, al colore, et agli altri, <lb/>benchè poi ſeguano il corpo urtato; </s>
  <s xml:id="echoid-s1285" xml:space="preserve">e la ragio-<lb/>ne ſi è, perchè tali accidenti non hanno maſſa <lb/>niuna. </s>
  <s xml:id="echoid-s1286" xml:space="preserve">Oh, diſſe allora il Signor Marcheſe, dun-<lb/>que queſti elaſtri non ſono corpi? </s>
  <s xml:id="echoid-s1287" xml:space="preserve">E che ſon. <lb/></s>
  <s xml:id="echoid-s1288" xml:space="preserve">eglino? </s>
  <s xml:id="echoid-s1289" xml:space="preserve">perchè levatami l’ idea del corpo, <lb/>a me niente rimane dell’ idea dell’ elaſtro. </s>
  <s xml:id="echoid-s1290" xml:space="preserve">Egli <lb/>vi rimane, riſpoſi allora, l’ idea della puriſſima, <lb/>e ſempliciſſima elaſticità, la qual non è corpo, <lb/>benchè riſegga ne corpi, ſiccome la gravità, che <lb/>r<unsure/>iſiede nel corpo, il quale n’ è il ſoggetto; </s>
  <s xml:id="echoid-s1291" xml:space="preserve">e <lb/>non è però corpo eſſa; </s>
  <s xml:id="echoid-s1292" xml:space="preserve">è una qualità. </s>
  <s xml:id="echoid-s1293" xml:space="preserve">Qui la Si-<lb/>gnora Principeſſa ſorridendo, voi ſareſte, diſſe, <lb/>un valente maeſtro di filoſofia anche in Alcalà.</s>
  <s xml:id="echoid-s1294" xml:space="preserve">
<pb o="91" file="0115" n="115" rhead="LIBRO I."/>
Perchè, Signora? </s>
  <s xml:id="echoid-s1295" xml:space="preserve">riſpoſi. </s>
  <s xml:id="echoid-s1296" xml:space="preserve">Et ella, perchè quivi, <lb/>diſſe, ſariano volentieri ricevute coteſte voſtre <lb/>qualità, le quali qui tra noi male ſi ſoffriranno. <lb/></s>
  <s xml:id="echoid-s1297" xml:space="preserve">Ma in quel paeſe, ſecondo che io odo dire, tut-<lb/>ti ſeguono Ariſtotele. </s>
  <s xml:id="echoid-s1298" xml:space="preserve">Io credo, riſpoſi, che eſſi <lb/>abbiano più ragion di ſeguirlo, che noi non ab-<lb/>biamo di diſprezzarlo. </s>
  <s xml:id="echoid-s1299" xml:space="preserve">Ma voi ben vedete, che <lb/>ſe io richiamo quelle qualità, non io, ma la co-<lb/>ſa iſteſsa le richiama; </s>
  <s xml:id="echoid-s1300" xml:space="preserve">e come intendere altramen-<lb/>te gli elaſtri di Bernulli? </s>
  <s xml:id="echoid-s1301" xml:space="preserve">Di che ſoglio ſdegnar-<lb/>mi alcune volte co’ noſtri moderni, che avendo <lb/>in tanto abborrimento le diſpute degli antichi, <lb/>movono bene ſpeſſo quiſtioni, che a quelle ne-<lb/>ceſsariamente ci riconducono. </s>
  <s xml:id="echoid-s1302" xml:space="preserve">Ma tornando al <lb/>propoſito, voi dovete, Signor Marcheſe, tener <lb/>bene a mente, che nominandoſi per eſempio <lb/>l’ elaſtro ABC, non altro ſi vuol intendere, ſe <lb/>non una elaſticità, ovvero una potenza, la qual <lb/>premendo da una parte il muro XY (benchè que-<lb/>ſta preſſione al noſtro caſo poco appartiene, co-<lb/>me quella, che nulla appartiene al globo C) da <lb/>un’ altra parte ſi applica immediatamente al glo-<lb/>bo, e lo ſoſpinge, inſeguendolo, e ſtimolandolo <lb/>con altri, ed altri impulſi ſempre minori, come <lb/>un’ elaſtro farebbe; </s>
  <s xml:id="echoid-s1303" xml:space="preserve">e direi (ſe la Signora Prin-<lb/>cipeſsa mel comportaſse) che egli è come una. </s>
  <s xml:id="echoid-s1304" xml:space="preserve"><lb/>qualità inerente al globo ſteſso. </s>
  <s xml:id="echoid-s1305" xml:space="preserve">Intendo io tut. </s>
  <s xml:id="echoid-s1306" xml:space="preserve"><lb/>to ciò beniſſimo, diſse allora il Signor Marche-<lb/>ſe; </s>
  <s xml:id="echoid-s1307" xml:space="preserve">e così parmi, che i quattro elaſtri, di cui ſi <lb/>compone la ſerie EN, altro non dovranno eſsere
<pb o="92" file="0116" n="116" rhead="DELLA FORZA DE’ CORPI"/>
ſe non quattro potenze, che applicandoſi imme-<lb/>diatamente al globo N, lo ſcuotono, e lo perſe-<lb/>guono con impulſi ſempre minori. </s>
  <s xml:id="echoid-s1308" xml:space="preserve">E queſte po-<lb/>tenze, come anche quella, che ſpinge il globo C, <lb/>ſi voglion ſupporre tutte tra loro perfettamente <lb/>eguali, come ſi ſon ſuppoſti gli elaſtri. </s>
  <s xml:id="echoid-s1309" xml:space="preserve">Di che ſi <lb/>rende anche più maniſeſto, che il primo impulſo, <lb/>che riceve il globo N, ricevendolo da quattro po-<lb/>tenze, debba eſſere quattro volte maggiore di quel-<lb/>lo, che riceve il globo C da una ſola. </s>
  <s xml:id="echoid-s1310" xml:space="preserve">Et io già ne <lb/>ſto quieto, ſe pure il Signor D. </s>
  <s xml:id="echoid-s1311" xml:space="preserve">Niccola, che mo-<lb/>ſtra di voler dire alcuna coſa in contrario, non <lb/>mi conturbaſſe. </s>
  <s xml:id="echoid-s1312" xml:space="preserve">Tolga Iddio, diſſe il Signor D. <lb/></s>
  <s xml:id="echoid-s1313" xml:space="preserve">Niccola, che io voglia mai conturbarvi; </s>
  <s xml:id="echoid-s1314" xml:space="preserve">voglio <lb/>bene, che voi vi guardiate dagli artificj di queſt’ <lb/>uomo, che col ſuo ſillogizzare farà ritornarvi il <lb/>bianco in nero. </s>
  <s xml:id="echoid-s1315" xml:space="preserve">Intanto ſe io opporrò alcuna coſa <lb/>contro coteſta leggiadra ſpiegazione, che egli ha <lb/>propoſta del modo, con cui ſi apron le ſerie; </s>
  <s xml:id="echoid-s1316" xml:space="preserve">non <lb/>vorrei, che egli diceſse, che io il ſaceſſi più toſto <lb/>per ſervire la Signora Principeſsa, che per dire la <lb/>verità; </s>
  <s xml:id="echoid-s1317" xml:space="preserve">perciocchè io intendo egualmente far l’ u-<lb/>no e l’ altro. </s>
  <s xml:id="echoid-s1318" xml:space="preserve">Così dicendo, ripigliai io, voi vole-<lb/>te moſtrare di ſervirla meglio; </s>
  <s xml:id="echoid-s1319" xml:space="preserve">ma vedete, che <lb/>coteſto voſtro proemio non paja un artificio <lb/>maggiore di quanti ne abbia uſati io. </s>
  <s xml:id="echoid-s1320" xml:space="preserve">Però <lb/>quale è la coſa, che voi avete da opporre? </s>
  <s xml:id="echoid-s1321" xml:space="preserve"><lb/>Sorridendo allora il Signor D. </s>
  <s xml:id="echoid-s1322" xml:space="preserve">Niccola, più <lb/>d’ una ne hò, diſſe; </s>
  <s xml:id="echoid-s1323" xml:space="preserve">et anche pare, che mol-<lb/>te ne abbia il Signor D. </s>
  <s xml:id="echoid-s1324" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s1325" xml:space="preserve">perchè fia bene,
<pb o="93" file="0117" n="117" rhead="LIBRO I."/>
ſiccome io credo, proporle prima tutte, per dar <lb/>loro, ſe ſi potrà, qualche ordine, e poi diſpu-<lb/>tarvi ſopra. </s>
  <s xml:id="echoid-s1326" xml:space="preserve">Come vi piace, riſpoſi. </s>
  <s xml:id="echoid-s1327" xml:space="preserve">Et egli al-<lb/>lora, niuno certamente, diſſe, vi concederà quel-<lb/>lo, che fino ad ora ci avete con tanto ſtudio vo-<lb/>luto perſuadere, cioè che l’ impulſo, per cui co-<lb/>mincia a moverſi il globo N, ſia quattro volte <lb/>maggiore di quello, per cui comincia a moverſi <lb/>il globo C. </s>
  <s xml:id="echoid-s1328" xml:space="preserve">Che anzi queſti due impulſi ſoglio-<lb/>no da i più prenderſi come eguali; </s>
  <s xml:id="echoid-s1329" xml:space="preserve">e come egua-<lb/>li gli aſſume Bernulli, e dopo lui anche Camus, <lb/>come ſapete, negli atti dell’ Accademia Parigina. <lb/></s>
  <s xml:id="echoid-s1330" xml:space="preserve">Camus, e gli altri, riſpoſi io, hanno avuto qual-<lb/>che ragione di aſſumere queſti impulſi come egua-<lb/>li, avendogli Bernulli così preſi. </s>
  <s xml:id="echoid-s1331" xml:space="preserve">L’ autorità di <lb/>Bernulli è baſtata loro, ne io ſaprei di ciò ripren-<lb/>derli. </s>
  <s xml:id="echoid-s1332" xml:space="preserve">Ma Bernulli poteva bene in vece di aſſu-<lb/>mere tale uguaglianza, dimoſtrarla; </s>
  <s xml:id="echoid-s1333" xml:space="preserve">e ſe non lo <lb/>ha fatto, ben moſtra, che non potea farſi. </s>
  <s xml:id="echoid-s1334" xml:space="preserve">Anzi <lb/>moſtra, diſſe ii Signor D. </s>
  <s xml:id="echoid-s1335" xml:space="preserve">Nicola, che non era <lb/>neceſſario di farlo; </s>
  <s xml:id="echoid-s1336" xml:space="preserve">tanto la coſa è per ſe ſteſſa <lb/>chiara e manifeſta. </s>
  <s xml:id="echoid-s1337" xml:space="preserve">Ma io ho anche un’ altra dif-<lb/>ficoltà in coteſta voſtra ſpiegazione; </s>
  <s xml:id="echoid-s1338" xml:space="preserve">perchè pa-<lb/>re, che voi vogliate, che il globo C, ricevuto un’ <lb/>impulſo, ſcorra poi equabilmente, ſenza ricever-<lb/>ne più, fino in <emph style="it">m</emph>; </s>
  <s xml:id="echoid-s1339" xml:space="preserve">e ſimilmente, che il globo N, <lb/>ricevuto un’ impulſo, ſcorra equabilmente, ſen-<lb/>za riceverne più neſſun’ altro, fino in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s1340" xml:space="preserve">e lo ſteſ-<lb/>ſo volete, che ſegua in tutti gli altri ſpazietti di <lb/>mano in mano. </s>
  <s xml:id="echoid-s1341" xml:space="preserve">Con che venite a frapporre degl’
<pb o="94" file="0118" n="118" rhead="DELLA FORZA DE’ CORPI"/>
intervalli tra un’ impulſo et un altro, e non la-<lb/>ſciate eſſer continva l’ azion degli elaſtri, come <lb/>eſſer dee, e come vogliono tutti, che ſia; </s>
  <s xml:id="echoid-s1342" xml:space="preserve">e ve-<lb/>nite anche a comporre il moto accelerato dei glo-<lb/>bi di molti moti equabili. </s>
  <s xml:id="echoid-s1343" xml:space="preserve">Queſto iſteſſo, diſſe <lb/>allora il Signor D. </s>
  <s xml:id="echoid-s1344" xml:space="preserve">Serao, penſava anch’ io di <lb/>domandare; </s>
  <s xml:id="echoid-s1345" xml:space="preserve">ma il Signor D. </s>
  <s xml:id="echoid-s1346" xml:space="preserve">Niccola mi ha pre-<lb/>venuto. </s>
  <s xml:id="echoid-s1347" xml:space="preserve">Et io allora, come v’ è egli venuto in <lb/>mente, riſpoſi, che io voglia levar via la conti-<lb/>nuità dell’ azion degli elaſtri? </s>
  <s xml:id="echoid-s1348" xml:space="preserve">Non potete voi <lb/>quegl’ intervalli, che io frappongo tra gl’ impulſi, <lb/>fingervegli piccioli a modo voſtro; </s>
  <s xml:id="echoid-s1349" xml:space="preserve">anche infinita-<lb/>mente, ſe vi piace? </s>
  <s xml:id="echoid-s1350" xml:space="preserve">E ſe così farete, di niente ſi <lb/>turberà la continuazion degl’ impulſi, i quali ſi <lb/>eſtimeranno abbaſtanza continvati, ſolo che gl’ in-<lb/>tervalli, per cui ſono interrotti, ſieno infinita-<lb/>mente piccoli. </s>
  <s xml:id="echoid-s1351" xml:space="preserve">E chi eſtimerà non continva l’ ac-<lb/>celerazione d’ un grave, che cada, o anche di <lb/>queſti due globi N, e C, di cui trattiamo, per <lb/>queſto che le ſi frappongano dei movimenti equa-<lb/>bili infinitamente piccioli, come ſono il movi-<lb/>mento del globo N fino <emph style="it">r</emph>, e quello del globo C <lb/>fino in <emph style="it">m</emph>? </s>
  <s xml:id="echoid-s1352" xml:space="preserve">Anzi ogni movimento accelerato ſi <lb/>vuol ſupporre compoſto di movimenti equabili <lb/>infinitamente brevi, così appunto, come ogni li-<lb/>nea curva di linee rette infinitamente piccole. </s>
  <s xml:id="echoid-s1353" xml:space="preserve">E <lb/>queſta licenza ſi hanno preſa i geometri nelle li-<lb/>nee, et hanno dato eſempio ai meccanici di far lo <lb/>ſteſſo anche nei movimenti. </s>
  <s xml:id="echoid-s1354" xml:space="preserve">Non così però ne <lb/>uſano i gecmetri, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1355" xml:space="preserve">Serao,
<pb o="95" file="0119" n="119" rhead="LIBRO I."/>
che non debbano e voglian talvolta conſiderar co-<lb/>me curve quelle ſteſſe linee infinitamente piccole, <lb/>che già preſero come rette, e di cui compoſer <lb/>la curva; </s>
  <s xml:id="echoid-s1356" xml:space="preserve">e all’ iſteſſo modo dovranno talvolta <lb/>i meccanici conſiderar come accelerati quegli ſteſſi <lb/>movimenti infinitamente piccoli, che già preſero <lb/>per equabili. </s>
  <s xml:id="echoid-s1357" xml:space="preserve">E chi ſa, che quei movimenti infi-<lb/>nitamente brevi, che voi avete propoſto come <lb/>equabili, da N fino in <emph style="it">r</emph>, e da C fino in <emph style="it">m</emph>, e <lb/>così gli altri, non ſieno ora da conſiderarſi come <lb/>accelerati? </s>
  <s xml:id="echoid-s1358" xml:space="preserve">Il che ſe foſſe, non sò, come vi riuſci-<lb/>rebbe di dimoſtrare, che la velocità del globo N <lb/>giunto in <emph style="it">r</emph> ſia quadrupla di quella del globo C <lb/>giunto in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s1359" xml:space="preserve">Ma io mi accorgo, che ſono entra-<lb/>to in una provincia già occupata dal Signor D. <lb/></s>
  <s xml:id="echoid-s1360" xml:space="preserve">Nicola; </s>
  <s xml:id="echoid-s1361" xml:space="preserve">però intendo di uſcirne, e laſciarla a lui. </s>
  <s xml:id="echoid-s1362" xml:space="preserve"><lb/>Solo dico, che trattandoſi degli elaſtri, voi avete <lb/>tralaſciato un’ argomento principaliſſimo; </s>
  <s xml:id="echoid-s1363" xml:space="preserve">ed è <lb/>quello, di cui ſi ſervì già Bernulli, come di una <lb/>ragione invittiſſima, negli atti di Lipſia, traendo-<lb/>lo da una ſerie ſola di elaſtri, che aprendoſi urta <lb/>due globi, diſeguali tra loro, verſo due contra-<lb/>rie parti. </s>
  <s xml:id="echoid-s1364" xml:space="preserve">Ne io certo crederò, che abbiate detto <lb/>abbaſtanza, ne ſoddisfatto al dover voſtro, ne al <lb/>deſiderio della Signora Principeſſa, ſe non avrete <lb/>detto anche di queſto; </s>
  <s xml:id="echoid-s1365" xml:space="preserve">et io deſidero grandemente <lb/>di udirne. </s>
  <s xml:id="echoid-s1366" xml:space="preserve">Quando s’ abbia a dar luogo anche <lb/>ai deſiderj, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1367" xml:space="preserve">Nicola, et <lb/>io deſidero che ci moſtriate, come generalmen-<lb/>te l’ opinione, che voi avete intorno alla forza
<pb o="96" file="0120" n="120" rhead="DELLA FORZA DE’ CORPI"/>
viva, ſi accomodi alle leggi univerſali del moto; <lb/></s>
  <s xml:id="echoid-s1368" xml:space="preserve">non perchè io abbia difficoltà niuna in ciò; </s>
  <s xml:id="echoid-s1369" xml:space="preserve">ma <lb/>a voi ſta di moſtrare, che niuna poſſa averſene. </s>
  <s xml:id="echoid-s1370" xml:space="preserve"><lb/>Allora io rivolto alla Signora Principeſſa, ſe voi, <lb/>diſſi, non ponete modo alle contradizioni, e alle <lb/>domande, queſti Signori hanno tanta voglia di <lb/>ſervirvi, che mai non la finiranno. </s>
  <s xml:id="echoid-s1371" xml:space="preserve">Anche una <lb/>coſa, ripigliò il Signor D. </s>
  <s xml:id="echoid-s1372" xml:space="preserve">Serao, non ho io be-<lb/>ne inteſo nel fine della ſpiegazione, che avete fat-<lb/>ta dell’ aprimento degli elaſtri: </s>
  <s xml:id="echoid-s1373" xml:space="preserve">avendo voi det-<lb/>to, eſſere da ſeguirſi la ſemplicità in tutti gli ef-<lb/>fetti della natura, donde avete tratto argomento, <lb/>che la forza viva ſia da rigettarſi. </s>
  <s xml:id="echoid-s1374" xml:space="preserve">E che? </s>
  <s xml:id="echoid-s1375" xml:space="preserve">diſſi io; </s>
  <s xml:id="echoid-s1376" xml:space="preserve"><lb/>Non pare a voi, che la natura ſia ſempliciſſima <lb/>in tutti i ſuoi effetti? </s>
  <s xml:id="echoid-s1377" xml:space="preserve">A me par sì, diſſe il Signor <lb/>D. </s>
  <s xml:id="echoid-s1378" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s1379" xml:space="preserve">ma io ho creduto, che a voi non paja <lb/>lo ſteſſo, almen tanto, quanto parer dovrebbe; </s>
  <s xml:id="echoid-s1380" xml:space="preserve"><lb/>avendo voi detto, ſe non m’ inganno, che una <lb/>tale ſemplicità l’ hanno i filoſofi introdotta più <lb/>per comodo loro, che per onore della natura; </s>
  <s xml:id="echoid-s1381" xml:space="preserve"><lb/>con che parmi, che abbiate offeſo e i ſiloſofi, e <lb/>la natura ſteſſa. </s>
  <s xml:id="echoid-s1382" xml:space="preserve">Io non ſapea, riſpoſi, d’ aver fat-<lb/>to così gran male; </s>
  <s xml:id="echoid-s1383" xml:space="preserve">ne che i filoſofi doveſſer me-<lb/>co ſdegnarſi, ſe io aveſſi creduto, che eſſi pen-<lb/>ſaſſero anche al loro comodo; </s>
  <s xml:id="echoid-s1384" xml:space="preserve">il che ſe faceſſe-<lb/>ro, chi potrebbe giuſtamente riprendergli? </s>
  <s xml:id="echoid-s1385" xml:space="preserve">e cre-<lb/>do, che la natura ſteſſa gli eſcuſerebbe. </s>
  <s xml:id="echoid-s1386" xml:space="preserve">Voi ri-<lb/>volgete in gioco, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1387" xml:space="preserve">Serao, <lb/>la mia domanda. </s>
  <s xml:id="echoid-s1388" xml:space="preserve">Ma certo a me pare, che cer-<lb/>cando i filoſofi la ſemplicità per tutto, cerchino
<pb o="97" file="0121" n="121" rhead="LIBRO I."/>
non il comodo loro, ma una certa belliſſima per-<lb/>fezione della natura, che mal potrebbe da eſſa <lb/>ſepararſi. </s>
  <s xml:id="echoid-s1389" xml:space="preserve">E parmi, che abbiano fatto bene a ſta-<lb/>bilirne come un principio, per cui proponendoſi <lb/>più ſiſtemi, che tendano a un medeſimo ſine, quel-<lb/>lo ſempre ſtimino eſſer vero, et abbraccino, che <lb/>è più ſpedito, e più facile, e più ſemplice. </s>
  <s xml:id="echoid-s1390" xml:space="preserve">E il <lb/>far queſto, diſs’ io, come vedete, è molto como-<lb/>do ai filoſofi. </s>
  <s xml:id="echoid-s1391" xml:space="preserve">Anzi è, diſſe il Signor D. </s>
  <s xml:id="echoid-s1392" xml:space="preserve">Serao, <lb/>convenientiſſimo alla ſapienza della natura. </s>
  <s xml:id="echoid-s1393" xml:space="preserve">Io non <lb/>nego, diſſi allora, che queſta ſemplicità, che voi <lb/>dite, ſia molto bella, e degna della natura; </s>
  <s xml:id="echoid-s1394" xml:space="preserve">e con-<lb/>feſſo che gli argomenti, che da eſſa ſi traggono, <lb/>hanno qualche poco di probabilità; </s>
  <s xml:id="echoid-s1395" xml:space="preserve">dico bene, che <lb/>non sforzano l’ intelletto, ma lo luſingano ſolo, <lb/>e l’ invitano, e ſono da abbracciarſi, come tutte <lb/>le altre ragioni probabili<unsure/>, con aſſai timore. </s>
  <s xml:id="echoid-s1396" xml:space="preserve">E ſe a <lb/>quelle ragioni, che ſi traggono dalla ſemplicità <lb/>della natura, noi levaſſimo tutta la forza, che lor <lb/>viene dal pregiudizio, e dall’ errore, credo che <lb/>molto poca gliene reſterebbe. </s>
  <s xml:id="echoid-s1397" xml:space="preserve">Qual è queſto pre-<lb/>giudizio? </s>
  <s xml:id="echoid-s1398" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s1399" xml:space="preserve">Serao. </s>
  <s xml:id="echoid-s1400" xml:space="preserve">Il pregiudizio <lb/>è, riſpoſi, che eſſendo noi avvezzi a lodar ſem-<lb/>pre i noſtri artefici, e tutte le loro opere, tanto <lb/>più, quanto più ſono ſemplici, vogliamo trasferi-<lb/>re in Dio la ſteſſa lode; </s>
  <s xml:id="echoid-s1401" xml:space="preserve">ne ci accorgiamo, che <lb/>quello, che è lode ne noſtri artefici, potrebbe non <lb/>eſſer lode in Dio. </s>
  <s xml:id="echoid-s1402" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s1403" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s1404" xml:space="preserve">Se-<lb/>rao; </s>
  <s xml:id="echoid-s1405" xml:space="preserve">ſe è lode dell’ orologiero compor l’orologio <lb/>più toſto di tre ruote, che di venti, potendo far-
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lo nell’ una, e nell’ altra maniera; </s>
  <s xml:id="echoid-s1406" xml:space="preserve">non ſatà egli <lb/>lode anche di Dio, potendo fare queſto maravi-<lb/>glioſo univerſo in più maniere, il farlo nella più <lb/>ſemplice? </s>
  <s xml:id="echoid-s1407" xml:space="preserve">E ſe ſavio, accorto, e prudente ſi ſtima <lb/>da ognuno quell’ artefice, che fa l’ orologio più <lb/>toſto di tre ruote, che di venti; </s>
  <s xml:id="echoid-s1408" xml:space="preserve">perchè non ſa-<lb/>viiſſimo, non accortiſſimo, non prudentiſſimo ſti-<lb/>meraſſi egli il ſovrano artefice di tutte le coſe, fac-<lb/>cendole provenire più toſto da due principj, che <lb/>da mille? </s>
  <s xml:id="echoid-s1409" xml:space="preserve">Voi dite vero, riſpoſi; </s>
  <s xml:id="echoid-s1410" xml:space="preserve">e non è alcun <lb/>dubio, che l’ orologiero farà gran ſenno a com-<lb/>por l’ orologio con tre ruote più toſto, che con <lb/>venti; </s>
  <s xml:id="echoid-s1411" xml:space="preserve">e ciò forſe all’ accortezza, e ſaviezza ſua ſi <lb/>conviene. </s>
  <s xml:id="echoid-s1412" xml:space="preserve">Ma vedete, che tutto queſto ſi appog. <lb/></s>
  <s xml:id="echoid-s1413" xml:space="preserve">gia, ad una ragione, che voi forſe non avvertite, et è <lb/>a mio giudicio, tanto forte, che par quaſr, che eſ-<lb/>ſa ſola voglia eſſere conſiderata; </s>
  <s xml:id="echoid-s1414" xml:space="preserve">e queſta è, che <lb/>all’ orologiero più tempo, e più fatica ſi ricerca a <lb/>fare, e comporre inſieme le venti ruote, che le, <lb/>tre; </s>
  <s xml:id="echoid-s1415" xml:space="preserve">et oltre a ciò vi ha più ſpeſa, et anche più <lb/>pericolo, eſſendo più facile errare in venti, che in <lb/>tre; </s>
  <s xml:id="echoid-s1416" xml:space="preserve">e quindi è, che eſſendo egli in tutte le ſue <lb/>facoltà finito, e riſtretto, dee uſarne in ciaſcuna <lb/>delle ſue opere il men che può, per riſerbarne il <lb/>più che può per le altre. </s>
  <s xml:id="echoid-s1417" xml:space="preserve">Che ſe ſi deſſe un oro-<lb/>logiero, a cui lo ſteſſo foſſe far venti ruote, che <lb/>tre, ne più ſpeſa vi aveſſe, ne più fatica, ne più <lb/>tempo doveſſe porvi, ne più ſtudio, e foſse egual-<lb/>mente ſicuro di ſaperle congegnar bene; </s>
  <s xml:id="echoid-s1418" xml:space="preserve">io non <lb/>ſo, per qual ragione doveſse egli eſser ripreſo, ſe
<pb o="99" file="0123" n="123" rhead="LIBRO I."/>
più toſto di venti ruote, che di tre, faceſse il ſuo <lb/>orologio. </s>
  <s xml:id="echoid-s1419" xml:space="preserve">Che anzi parmi, che maggiore induſtria, <lb/>e più ſcienza apparirebbe nel ſaper accordare in-<lb/>ſieme i rivolgimenti di venti ruote, che quelli di <lb/>tre ſole. </s>
  <s xml:id="echoid-s1420" xml:space="preserve">Se dunque lodaſi l’ orologiero d’ aver <lb/>ſatto l’ orologio ſuo più toſto di tre ruote, che <lb/>di venti, lodaſi non perchè queſto ſi conveniſse <lb/>alla perizia, e all’ arte ſua; </s>
  <s xml:id="echoid-s1421" xml:space="preserve">ma perchè conveniva-<lb/>ſi alla ſua ſcarſezza, ct alla ſua povertà. </s>
  <s xml:id="echoid-s1422" xml:space="preserve">Il perchè <lb/>mi maraviglio, che, lodandoſi i noſtri artefici del-<lb/>la ſemplicità dei lor lavori, vogliaſi lodar Dio <lb/>all’ iſteſſo modo; </s>
  <s xml:id="echoid-s1423" xml:space="preserve">quaſi non foſse a Dio la mede-<lb/>ſima coſa il crear mille principj, che il crearne <lb/>due; </s>
  <s xml:id="echoid-s1424" xml:space="preserve">e più fatica doveſse porre e più ſtudio nei <lb/>mille, che nei due; </s>
  <s xml:id="echoid-s1425" xml:space="preserve">o temeſse, che quanto più ne <lb/>adopraſse in un’ effetto, tanto meno doveſse re-<lb/>ſtargliene per gli altri. </s>
  <s xml:id="echoid-s1426" xml:space="preserve">Io credo, diſse il Signor <lb/>D. </s>
  <s xml:id="echoid-s1427" xml:space="preserve">Serao, che voi vi prendiate gioco di noi altri; <lb/></s>
  <s xml:id="echoid-s1428" xml:space="preserve">e che diſputiate ora contra il ſentimento voſtro. </s>
  <s xml:id="echoid-s1429" xml:space="preserve"><lb/>E bene; </s>
  <s xml:id="echoid-s1430" xml:space="preserve">riſpoſi, fate c<unsure/>onto, che non io abbia <lb/>dette queſte coſe, ma le abbia dette un’ altro; </s>
  <s xml:id="echoid-s1431" xml:space="preserve">il <lb/>qual ſe foſse di un ſentimento contrario al mio, <lb/>non per queſto però credereſte, che egli doveſse <lb/>aver detto il falſo; </s>
  <s xml:id="echoid-s1432" xml:space="preserve">et io ſteſso ſe altra opinione <lb/>aveſſi nell’ animo, et altra ne diceſſi, non ſo pe-<lb/>rò, perchè voi dobbiate più toſto attender l’ una <lb/>che l’ altra, potendo così l’ una eſser vera come <lb/>l’ altra. </s>
  <s xml:id="echoid-s1433" xml:space="preserve">Conſiderate dunque le ragioni, ch’ io vi <lb/>propongo, e non cercate con troppa curioſità, <lb/>ſe io ſteſso le creda. </s>
  <s xml:id="echoid-s1434" xml:space="preserve">Ma voi, diſse quivi la Si-
<pb o="100" file="0124" n="124" rhead="DELLA FORZA DE’ CORPI"/>
gnora Principeſſa, con coteſte voſtre ragioni leva-<lb/>te ai filoſofi tutti i lor ſiſtemi; </s>
  <s xml:id="echoid-s1435" xml:space="preserve">perciocchè qual <lb/>n’ ha, che non ſia principaliſſimamente fondato <lb/>ſul principio della ſemplicità? </s>
  <s xml:id="echoid-s1436" xml:space="preserve">Eccovi che i Co-<lb/>pernicani amano tanto quella loro ipoteſi, che più <lb/>non l’ hanno per ipoteſi; </s>
  <s xml:id="echoid-s1437" xml:space="preserve">ne poſſon ſoffrire, che <lb/>altri ne dubiti; </s>
  <s xml:id="echoid-s1438" xml:space="preserve">tanto ne ſono orgoglioſi. </s>
  <s xml:id="echoid-s1439" xml:space="preserve">E per-<lb/>chè ciò? </s>
  <s xml:id="echoid-s1440" xml:space="preserve">perchè par loro, che ſia più ſemplice di <lb/>qualunque altra fingere ſe ne poſſa. </s>
  <s xml:id="echoid-s1441" xml:space="preserve">Già i Carte-<lb/>ſiani rigettarono tutte le forme, e tutte le qualità <lb/>d’ Ariſtotele, credendo che il mondo ſarebbe più <lb/>ſemplice ſenza eſſe; </s>
  <s xml:id="echoid-s1442" xml:space="preserve">benchè anche ne accuſarono <lb/>l’ oſcurità; </s>
  <s xml:id="echoid-s1443" xml:space="preserve">dalla quale accuſazione pare, che i <lb/>Neutoniani le abbiano aſſolute, avendo aggiunto <lb/>ai principj di Carteſio non ſo qual forza attrat-<lb/>tiva così oſcura, come le qualità erano di Ari-<lb/>ſtotele. </s>
  <s xml:id="echoid-s1444" xml:space="preserve">I quali però vedete quanto amano la ſem-<lb/>plicità; </s>
  <s xml:id="echoid-s1445" xml:space="preserve">che oltrechè quella lor forza attrattiva non <lb/>l’ hanno introdotta che per biſogno, avrete an-<lb/>che oſſervato, che eſsendo tante e tanto varie tra <lb/>loro le forze attrattive de’ corpi, et eſsendone <lb/>ancor molte non attrattive, ma repulſive, pur s’ <lb/>ingegnano gli uomini acutiſſimi, e ſi sforzano, <lb/>quanto poſsono, di perſuadere, che tutte ſono <lb/>una forza ſola; </s>
  <s xml:id="echoid-s1446" xml:space="preserve">et amano meglio di eſsere oſcuri, <lb/>che di non parer ſemplici. </s>
  <s xml:id="echoid-s1447" xml:space="preserve">E lo ſteſso Ariſtotile, ben-<lb/>chè moltiplicaſse a diſmiſura le forme, le quali-<lb/>tà, gli accidenti, non però ne introduſse, ſe non <lb/>quante gli parvero eſser neceſsarie; </s>
  <s xml:id="echoid-s1448" xml:space="preserve">e niuna ne <lb/>poſe mai, che egli credeſse inutile; </s>
  <s xml:id="echoid-s1449" xml:space="preserve">donde ſi ve-
<pb o="101" file="0125" n="125" rhead="LIBRO I."/>
de, che egli ancora volle ſeguire la ſemplicità, <lb/>come i moderni; </s>
  <s xml:id="echoid-s1450" xml:space="preserve">benchè ſe ne vantaſse meno. </s>
  <s xml:id="echoid-s1451" xml:space="preserve">Si-<lb/>gnora, riſpoſi, io non ho detto, che non ſia da de-<lb/>ſiderarſi la ſemplicità ne’ ſiſtemi; </s>
  <s xml:id="echoid-s1452" xml:space="preserve">la quale quando <lb/>altro non aveſse, che l’ eſser comoda, e dar me-<lb/>no fatica a quei, che ſtudiano, pur ſarebbe per <lb/>queſto ſolo da commendarſi; </s>
  <s xml:id="echoid-s1453" xml:space="preserve">ma ella trae ſeco <lb/>anche una non ſo quale probabilità; </s>
  <s xml:id="echoid-s1454" xml:space="preserve">e ſe i fi-<lb/>loſofi fondando le loro opinioni ſu la ſempli-<lb/>cità della natura, le proponeſsero poi mode-<lb/>ſtamente, e ſi contentaſsero, che altri le <lb/>riceveſse con qualche timore, e ſolamente <lb/>come probabili, io non ripugnerei loro; </s>
  <s xml:id="echoid-s1455" xml:space="preserve">ma <lb/>ſpacciandole eſſi il più delle volte quaſi come <lb/>evidenti, ne potendo ſofferire, che pur ſe n’ ab-<lb/>bia un minimo dubio, mi accendono in ira. </s>
  <s xml:id="echoid-s1456" xml:space="preserve">Vedete <lb/>dunque, che io non levo via i lor ſiſtemi, levo via <lb/>la loro arroganza. </s>
  <s xml:id="echoid-s1457" xml:space="preserve">Troppo avrete a fare, diſſe qui <lb/>il Signor D. </s>
  <s xml:id="echoid-s1458" xml:space="preserve">Niccola, ſe vorrete levare a i filoſofi <lb/>l’ arroganza; </s>
  <s xml:id="echoid-s1459" xml:space="preserve">pure ora trattandoſi della ſemplici <lb/>tà, parmi che voi vi affanniate contra ragione. </s>
  <s xml:id="echoid-s1460" xml:space="preserve">E <lb/>che direſte voi, ſe uno vi formaſſe un Dio, il <lb/>qual creando l’ univerſo, creaſſe in eſſo molte <lb/>coſe non neceſſarie; </s>
  <s xml:id="echoid-s1461" xml:space="preserve">molte ancora inutili affatto <lb/>e ſuperflue? </s>
  <s xml:id="echoid-s1462" xml:space="preserve">Non vi parrebbe egli queſto un Dio <lb/>poco accorto? </s>
  <s xml:id="echoid-s1463" xml:space="preserve">Et al contrario, ſe vi formaſſe un <lb/>Dio, che ſtudiaſſe ſempre le vie più facili, e più <lb/>brevi; </s>
  <s xml:id="echoid-s1464" xml:space="preserve">e quelle attentamente ſeguiſſe; </s>
  <s xml:id="echoid-s1465" xml:space="preserve">ne mai per-<lb/>veniſſe ad un fine, fe non adoprandovi i meno <lb/>mezzi, che adoprar ſi poteſſero; </s>
  <s xml:id="echoid-s1466" xml:space="preserve">non vi par’ egli,
<pb o="102" file="0126" n="126" rhead="DELLA FORZA DE’ CORPI"/>
che formaſſe un Dio ſapientiſſimo? </s>
  <s xml:id="echoid-s1467" xml:space="preserve">A me par, <lb/>diſſi, che formerebbe un Dio molto pigro; </s>
  <s xml:id="echoid-s1468" xml:space="preserve">per-<lb/>ciocchè eſſendo a queſto Dio, ſe egli è veramen-<lb/>te Dio, egualmente facili e brevi tutte le vie, <lb/>ne potendogli venir meno ne la poſſanza ne i <lb/>mezzi, io non sò, perchè egli voleſſe ſtudiar <lb/>tanto il riſparmio, e ſeguir ſempre quelle vie, <lb/>che non a lui ſon le più facili, e brevi, ma a <lb/>noi. </s>
  <s xml:id="echoid-s1469" xml:space="preserve">Qual ragione, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1470" xml:space="preserve">Ni-<lb/>cola, avrebbe egli di ſeguir le più lunghe, e le <lb/>più torte? </s>
  <s xml:id="echoid-s1471" xml:space="preserve">Quella ſteſſa, riſpoſi io, che avrebbe <lb/>di ſeguir le più brevi, e le più facili; </s>
  <s xml:id="echoid-s1472" xml:space="preserve">che io non <lb/>ſo, qual ragione ſegua un Dio, creando le coſe; <lb/></s>
  <s xml:id="echoid-s1473" xml:space="preserve">dico bene, che la ragione, che egli ſegue, non <lb/>può eſſere ne la brevità, ne la facilità, ne la ſem-<lb/>plicità, eſſendo a lui breviſſimo, e faciliſſimo, e <lb/>ſempliciſſimo ogni coſa. </s>
  <s xml:id="echoid-s1474" xml:space="preserve">La bellezza dell’ opera, <lb/>diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s1475" xml:space="preserve">Serao, potrebbe forſe eſ-<lb/>ſere una tal ragione; </s>
  <s xml:id="echoid-s1476" xml:space="preserve">poichè eſſendo certamente <lb/>piû bella quell’ opera, che è più ſemplice, ne vie-<lb/>ne, che ſe Dio vuol crear la più bella, vorrà an-<lb/>cora crear la più ſemplice. </s>
  <s xml:id="echoid-s1477" xml:space="preserve">Che ſe egli in tutto <lb/>ſtudia, e vuole l’ onor ſuo (giacchè mi traete <lb/>a viva forza in Teologia) quale onore farebbe <lb/>a lui un’ opera intralciata in mille modi et av-<lb/>volta, in cui ſi perveniſſe per cento mezzi ad un <lb/>fine, al quale potea pervenirſi per uno ſolo? </s>
  <s xml:id="echoid-s1478" xml:space="preserve">ſen-<lb/>za che, quando egli per giungere a un certo fine <lb/>ſi ſerviſſe di mezzi inutili, moſtrerebbe di non <lb/>conoſcerli. </s>
  <s xml:id="echoid-s1479" xml:space="preserve">Voi, diſſi, Signor D. </s>
  <s xml:id="echoid-s1480" xml:space="preserve">Serao, mi ſoſ-
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pingete in un gran pelago, chiamandomi a ra-<lb/>gionare dei fini, e dei mezzi della natura, e del-<lb/>la ragion di crearli; </s>
  <s xml:id="echoid-s1481" xml:space="preserve">e parmi che molto giudizio-<lb/>ſamente Carteſio vietaſſe a ſuoi d’ impacciarſi de <lb/>fini della natura, avendogli per troppo occulti; <lb/></s>
  <s xml:id="echoid-s1482" xml:space="preserve">e veramente ſe ſon tali, quali quel graviſſimo uo-<lb/>mo gli credette, e quali ſono in fatti da crede-<lb/>re, io non sò, a qual’ uſo ſerbiſi il principio <lb/>della ſemplicità volendo ſtabilire piu toſto un ſi-<lb/>ſtema, che un’ altro; </s>
  <s xml:id="echoid-s1483" xml:space="preserve">perchè ſe quel ſiſtema è <lb/>più ſemplice, che più ſpeditamente, e con mag-<lb/>gior facilità conduce ai fini della natura; </s>
  <s xml:id="echoid-s1484" xml:space="preserve">non ſa-<lb/>pendo noi queſti fini, e dovendo pur ſempre du-<lb/>bitare, ſe oltre quelli, che ci par di ſapere, altri <lb/>ne abbia la natura, che non ſappiamo, come po-<lb/>tremo noi diſtinguere tra due ſiſtemi, qual ſia più <lb/>ſemplice, e qual meno? </s>
  <s xml:id="echoid-s1485" xml:space="preserve">E certo io vi concedo, <lb/>che ſe Dio voleſſe una coſa come mezzo, il qual <lb/>conduceſſe a un certo fine, e quella veramente <lb/>non vi conduceſſe, moſtrerebbe di non averla ab-<lb/>baſtanza conoſciuta; </s>
  <s xml:id="echoid-s1486" xml:space="preserve">perciocchè l’ avrebbe pre-<lb/>ſa come un mezzo, non eſſendolo eſſa; </s>
  <s xml:id="echoid-s1487" xml:space="preserve">ma non <lb/>per queſto vorrebbe dirſi, che Dio non aveſse <lb/>creata quella tal coſa; </s>
  <s xml:id="echoid-s1488" xml:space="preserve">perciocchè ſe egli non l’ <lb/>aveſse voluta, come un mezzo, potrebbe averla <lb/>voluta, come un’ altro fine; </s>
  <s xml:id="echoid-s1489" xml:space="preserve">e molto meno è da <lb/>pretendere, che potendo Dio aſsumere molti mez-<lb/>zi, i quali componendoſi tutti inſieme, e maravi-<lb/>glioſamente accordandoſi traggano a un certo fi-<lb/>ne, e potendo anche aſsumerne pochi, debba egli
<pb o="104" file="0128" n="128" rhead="DELLA FORZA DE’ CORPI"/>
eſsere aſtretto ad aſsumere più toſto i pochi, che <lb/>i molti; </s>
  <s xml:id="echoid-s1490" xml:space="preserve">perciocchè potrebbono queſti molti eſser <lb/>voluti, e per quel fine, a cui traggono, et an-<lb/>che per loro ſteſſi. </s>
  <s xml:id="echoid-s1491" xml:space="preserve">E così potrebbe Dio tra le in-<lb/>finite coſe poſſibili, che egli ſta contemplando in <lb/>ſe medeſimo fino ab eterno, aver veduto un cer-<lb/>to effetto prodotto da mille cagioni inſieme, e lo <lb/>ſteſſo effetto prodotto da due ſole, et averlo vo-<lb/>luto più toſto prodotto dalle mille, che dalle due; <lb/></s>
  <s xml:id="echoid-s1492" xml:space="preserve">perciocchè non ſolo l’ effetto, ma potrebbono eſ-<lb/>ſergli piaciute ancor le cagioni. </s>
  <s xml:id="echoid-s1493" xml:space="preserve">Potea forſe la <lb/>terra eſſere illuminata d’ una maniera più ſempli-<lb/>ce; </s>
  <s xml:id="echoid-s1494" xml:space="preserve">ma Dio ha creato un ſole, che è tanto più <lb/>grande di lei, il qual rivolgendoſi con una ma-<lb/>raviglioſa celerità per gli ſpazj immenſi del Cielo <lb/>verſi in lei del continvo una impercettibil copia <lb/>di luce. </s>
  <s xml:id="echoid-s1495" xml:space="preserve">E perchè? </s>
  <s xml:id="echoid-s1496" xml:space="preserve">perchè egli forſe ha voluto <lb/>non già una terra illuminata, ma una terra illu-<lb/>minata, et un ſol, che la illumini. </s>
  <s xml:id="echoid-s1497" xml:space="preserve">Senza che vuo-<lb/>le Iddio co’ medeſimi mezzi ſervir ſpeſſe volte a <lb/>moltiſſimi fini; </s>
  <s xml:id="echoid-s1498" xml:space="preserve">e noi, conoſcendone un ſolo, giu-<lb/>dichiamo quei mezzi eſſere ſovrabbondanti; </s>
  <s xml:id="echoid-s1499" xml:space="preserve">e ſon <lb/>veramente, ſe a quel fine ſolo, che conoſciamo, <lb/>ſi riferiſcano. </s>
  <s xml:id="echoid-s1500" xml:space="preserve">Ma nol ſarebbono, ſe gli riferiſ-<lb/>ſimo a tutti; </s>
  <s xml:id="echoid-s1501" xml:space="preserve">come fa Iddio, il qual, provedendo <lb/>ad un fine, vuol provedere. </s>
  <s xml:id="echoid-s1502" xml:space="preserve">anche agli altri, e <lb/>creando l’ albero non penſa ſolo all’ albero, ma <lb/>anche agli uccelli, che hanno da porvi il nido, <lb/>e al paſſeggiero, che dee ſederviſi all’ ombra. </s>
  <s xml:id="echoid-s1503" xml:space="preserve"><lb/>Voi avete fatto, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s1504" xml:space="preserve">Serao,
<pb o="105" file="0129" n="129" rhead="LIBRO I."/>
una bella prova di eloquenza. </s>
  <s xml:id="echoid-s1505" xml:space="preserve">Ma io vorrei ſenza <lb/>eloquenza, che riſpondeſte a quello, che ho det-<lb/>to, cioè che l’ opera, che è più ſemplice, è an-<lb/>cor più bella, e fa più onore all’ autor ſuo; </s>
  <s xml:id="echoid-s1506" xml:space="preserve">don-<lb/>de ne viene, che volendo Dio il ſuo onore, e <lb/>creando per queſto le coſe e non per altro, cree-<lb/>rà le più ſemplici. </s>
  <s xml:id="echoid-s1507" xml:space="preserve">Che le opere, riſpoſi io allo-<lb/>ra, le quali ſono più ſemplici, ſieno ancora per <lb/>noi più comode, non ne ho dubio alcuno; </s>
  <s xml:id="echoid-s1508" xml:space="preserve">più <lb/>preſto e meglio le intendiamo. </s>
  <s xml:id="echoid-s1509" xml:space="preserve">Et eſſendo più co-<lb/>mode, non è alcun dubio, che ancor più piac-<lb/>ciano; </s>
  <s xml:id="echoid-s1510" xml:space="preserve">e più piacendo debbano parere anche più <lb/>belle. </s>
  <s xml:id="echoid-s1511" xml:space="preserve">Ma ſe voi vorrete metter da parte il vo-<lb/>ſtro amor proprio, che vi fa parer belle tutte le <lb/>coſe, che a voi ſon comode; </s>
  <s xml:id="echoid-s1512" xml:space="preserve">e vorrete giudicar <lb/>di loro non per quello, che ſono a voi, ma per <lb/>quello, che ſono in lor medeſime; </s>
  <s xml:id="echoid-s1513" xml:space="preserve">io non veggo <lb/>già, come non debba più piacere, e dirſi più bel-<lb/>la un’ opera, in cui riſplenda grandiſſimo ſtudio, <lb/>e moltiſſimo artifizio, che un’ altra, in cui nien-<lb/>te ſia di ciò; </s>
  <s xml:id="echoid-s1514" xml:space="preserve">benchè abbiano tutte e due lo ſteſ-<lb/>ſo fine. </s>
  <s xml:id="echoid-s1515" xml:space="preserve">Un danzatore va da un luogo ad un’ al-<lb/>tro con molti, e varj giri e movimenti artificioſiſ-<lb/>ſimi; </s>
  <s xml:id="echoid-s1516" xml:space="preserve">i quali ſe ſon grazioſi, più piace, che ſe vi <lb/>andaſſe ſpeditamente e ſenza arte; </s>
  <s xml:id="echoid-s1517" xml:space="preserve">perchè non <lb/>piace l’ andarvi; </s>
  <s xml:id="echoid-s1518" xml:space="preserve">piace la maniera, con cui vi va. <lb/></s>
  <s xml:id="echoid-s1519" xml:space="preserve">Ma acciocchè non dobbiate dire, che io mi ſerva <lb/>dell’ eloquenza, la qual non ſo, come a voi pa-<lb/>ja, che oggi ſia nata in me, io laſcio ſtare, che <lb/>le opere più ſemplici ſieno ancor le più belle, e
<pb o="106" file="0130" n="130" rhead="DELLA FORZA DE’ CORPI"/>
vi domando ſolo, ſe voi crediate, che Dio nel <lb/>produr le coſe, e trarle dal nulla, abbia dovu-<lb/>to ſempre ſceglier le forme più belle, o poſſa an-<lb/>che talvolta aver degnato le men belle, faccendo-<lb/>le poi più belle col crearle. </s>
  <s xml:id="echoid-s1520" xml:space="preserve">Io non ardirei, diſ-<lb/>ſe il Signor D. </s>
  <s xml:id="echoid-s1521" xml:space="preserve">Serao, decidere una quiſtione tan-<lb/>to agitata, e tanto oſcura; </s>
  <s xml:id="echoid-s1522" xml:space="preserve">e ſo che non la de-<lb/>ciderete così facilmente ne voi pure. </s>
  <s xml:id="echoid-s1523" xml:space="preserve">Ma ſe <lb/>egli non può deciderſi, riſpoſi io, che Dio, pro-<lb/>ducendo le coſe, abbia ſcelto ſempre le forme <lb/>più belle, come potremo noi decidere, che egli <lb/>abbia ſcelto le più ſemplici, per queſta ragione, <lb/>perchè le reputiam le più belle? </s>
  <s xml:id="echoid-s1524" xml:space="preserve">Et eſſendo una <lb/>quiſtione oſcuriſſima, ſe le coſe da Dio create <lb/>ſieno le più belle di quante crear ſe ne poteſſero; <lb/></s>
  <s xml:id="echoid-s1525" xml:space="preserve">come non ſarà anche una quiſtione oſcuriſſima, <lb/>ſe ſieno le più ſemplici? </s>
  <s xml:id="echoid-s1526" xml:space="preserve">La qual oſcurità ci ſi fa-<lb/>rà tuttavia maggiore, ſe noi conſidereremo, che i <lb/>fini, che noi andiamo immaginando nella natu-<lb/>ra, non ſono ne eſſer poſſono i fini ultimi di Dio, <lb/>il quale non può averne che un ſolo, et è quel-<lb/>lo dell’ infinito, et ineſplicabile onor ſuo. </s>
  <s xml:id="echoid-s1527" xml:space="preserve">E ben-<lb/>chè io non abbia delle coſe divine ſcienza niuna, <lb/>non crederei però d’ ingannarmi, ſe io diceſſ@, <lb/>che l’ onore, che Dio ſommamente, e più che <lb/>altro ſtudia, e cerca, e vuole, non è già quello, <lb/>che a lui fanno con la bellezza loro le coſe eſ-<lb/>ſendo create, ma quello, che fa egli a ſe ſteſſo <lb/>creandole; </s>
  <s xml:id="echoid-s1528" xml:space="preserve">perciocchè le crea egli, non perchè me-<lb/>ritino d’ eſſer create, ma perchè gode di crearle,
<pb o="107" file="0131" n="131" rhead="LIBRO I."/>
ancorchè non lo meritino. </s>
  <s xml:id="echoid-s1529" xml:space="preserve">Nel che ſi compiace <lb/>dell’ infinita liberalità, e magnificenza ſua, ne <lb/>ſta, cred’ io, a fare i calcoli, ne a prender mi-<lb/>ſure per timor di non creare una ſtella di più, o <lb/>far qualche pianeta oltre il biſogno: </s>
  <s xml:id="echoid-s1530" xml:space="preserve">come un ec-<lb/>cellentiſſimo muſico, il qual compiacendoſi della <lb/>ſua voce, canta a diletto; </s>
  <s xml:id="echoid-s1531" xml:space="preserve">ne ſi rimane, perchè <lb/>biſogno non ne ſia. </s>
  <s xml:id="echoid-s1532" xml:space="preserve">E ſe Dio fa le coſe non moſ-<lb/>ſo dalla bellezza loro, ma dal piacere di farle, <lb/>chi ſa fin dove queſto piacere lo porti, e fino a <lb/>qual ſegno egli abbia voglia di ſollazzarſi? </s>
  <s xml:id="echoid-s1533" xml:space="preserve">che <lb/>non può già a lui dirſi, come al fanciullo: </s>
  <s xml:id="echoid-s1534" xml:space="preserve">ceſſa <lb/>omai, tu hai giocato abbaſtanza. </s>
  <s xml:id="echoid-s1535" xml:space="preserve">Voi tornate <lb/>diſse allora il Signor D. </s>
  <s xml:id="echoid-s1536" xml:space="preserve">Serao, a i voſtri luoghi <lb/>oratorj<unsure/>; </s>
  <s xml:id="echoid-s1537" xml:space="preserve">e moſtrando egli di voler pur proſegui-<lb/>re, la Signora Principeſſa l’ interruppe, e diſse: <lb/></s>
  <s xml:id="echoid-s1538" xml:space="preserve">coteſta voſtra diſputa è ormai troppo lunga, e <lb/>fuor di propoſito; </s>
  <s xml:id="echoid-s1539" xml:space="preserve">che ſe voi vi fermate tanto in <lb/>coteſte ſottigliezze, non ſarà mai, che per noi ſi <lb/>torni agli elaſtri. </s>
  <s xml:id="echoid-s1540" xml:space="preserve">Pur permettetemi, vi prego, diſ-<lb/>ſe allora il Signor D. </s>
  <s xml:id="echoid-s1541" xml:space="preserve">Serao, che io aggiunga una <lb/>coſa ſola; </s>
  <s xml:id="echoid-s1542" xml:space="preserve">ed è, che Maupertuis, filoſoſo tra quan-<lb/>ti oggidì ne ſono in tutta Europa chiariſſimo, ha <lb/>creduto di potere argomentare, che l’ autore del-<lb/>la natura debba eſsere e prudentiſſimo, e ſapien-<lb/>tiſſimo, e finalmente Dio, dimoſtrando non al-<lb/>tro, ſe non che tra le infinite leggi del moto, ch <lb/>eſser potevano, abbia egli ſaputo conoſcer le <lb/>più ſemplici, cioè quelle, nelle quali ha men di <lb/>fatica e men d’ azione; </s>
  <s xml:id="echoid-s1543" xml:space="preserve">e quelle ſi abbia propo-
<pb o="108" file="0132" n="132" rhead="DELLA FORZA DE’ CORPI"/>
ſto di voler ſeguire; </s>
  <s xml:id="echoid-s1544" xml:space="preserve">e tale argomento è paruto all’ <lb/>illuſtre filoſoſo tanto grave, che l’ ha di gran lun-<lb/>ga antepoſto a tutti gli altri, che ſoglion produr-<lb/>ſi a dimoſtrare l’ eſiſtenza di Dio; </s>
  <s xml:id="echoid-s1545" xml:space="preserve">tanto ha egli <lb/>dato di autorità alla femplicità. </s>
  <s xml:id="echoid-s1546" xml:space="preserve">Se così è, aſsai <lb/>picciola coſa, riſpoſi io allora, baſta a Mauper-<lb/>tuis per ſarne un Dio. </s>
  <s xml:id="echoid-s1547" xml:space="preserve">Come picciola coſa? </s>
  <s xml:id="echoid-s1548" xml:space="preserve">diſse <lb/>allora la Signora Principeſsa; </s>
  <s xml:id="echoid-s1549" xml:space="preserve">pare a voi piccio-<lb/>la coſa a ſaper conoſcere tra le infinite leggi poſ-<lb/>ſibili, quali ſieno quelle, in cui ha men d’azione? <lb/></s>
  <s xml:id="echoid-s1550" xml:space="preserve">Piccioliſſima; </s>
  <s xml:id="echoid-s1551" xml:space="preserve">riſpoſi. </s>
  <s xml:id="echoid-s1552" xml:space="preserve">Perchè? </s>
  <s xml:id="echoid-s1553" xml:space="preserve">diſse la Signora <lb/>Principeſsa. </s>
  <s xml:id="echoid-s1554" xml:space="preserve">Perchè, diſſi, le ha ſapute conoſcere an-<lb/>che Maupertuis; </s>
  <s xml:id="echoid-s1555" xml:space="preserve">che non è un Dio: </s>
  <s xml:id="echoid-s1556" xml:space="preserve">io credo che ſia <lb/>il preſidente dell’ accademia di Berlino. </s>
  <s xml:id="echoid-s1557" xml:space="preserve">E certo ſe<unsure/> <lb/>l’ autore della natura non altro aveſse ſaper dovu-<lb/>to, ſe non quali foſsero le leggi del moto, a cui <lb/>meno azione, che a tutte l’ altre, ſi richiedeſse, <lb/>non avea per ciò meſtieri d’ una ſapienza inſinita; </s>
  <s xml:id="echoid-s1558" xml:space="preserve"><lb/>baſtava bene, che egli ſapeſse un poco il calcolo <lb/>differenziale. </s>
  <s xml:id="echoid-s1559" xml:space="preserve">Seguir poi quelle leggi, in cui ha <lb/>meno azione, e men fatica, che in tutte l’ altre, <lb/>è un conſiglio, che avrebbe preſo non ſolo ogni <lb/>prudente, ma anche ogni pigro. </s>
  <s xml:id="echoid-s1560" xml:space="preserve">Vedete dunque, <lb/>che il grandiſſimo filoſofo d’ aſsai picciola coſa ha <lb/>fatto un Dio. </s>
  <s xml:id="echoid-s1561" xml:space="preserve">Diſse allora la Signora Principeſ-<lb/>ſa ridendo, voi torcete ogni coſa a ſenno voſtro; </s>
  <s xml:id="echoid-s1562" xml:space="preserve"><lb/>ma certo la ſcelta di quc<unsure/>lle poche leggi leva via <lb/>la ſuſpicione del caſo; </s>
  <s xml:id="echoid-s1563" xml:space="preserve">perciocchè il caſo non le <lb/>avrebbe potuto ſcegliere tra infinite altre; </s>
  <s xml:id="echoid-s1564" xml:space="preserve">al <lb/>che richiedevaſi una mente dotata di ſcienza, e
<pb o="109" file="0133" n="133" rhead="LIBRO I."/>
di conſiglio. </s>
  <s xml:id="echoid-s1565" xml:space="preserve">Sì; </s>
  <s xml:id="echoid-s1566" xml:space="preserve">riſpoſi io; </s>
  <s xml:id="echoid-s1567" xml:space="preserve">ma queſta mente <lb/>avea biſogno di così poca ſcienza, e di così <lb/>poco conſiglio, che ſe io non ſapeſſi altro di <lb/>lei, per queſto ſolo non la farei un Dio; </s>
  <s xml:id="echoid-s1568" xml:space="preserve">e <lb/>più la ſtimo di aver potuto creare i corpi, e <lb/>trarli dal nulla, et impor loro certe leggi, qua-<lb/>li che eſſe ſieno, onde doveſſe uſcirne il vago e <lb/>maraviglioſo aſpetto dell’ univerſo; </s>
  <s xml:id="echoid-s1569" xml:space="preserve">che di aver <lb/>conoſciuto fra le tante leggi del moto, quali foſ-<lb/>ſero le più ſemplici. </s>
  <s xml:id="echoid-s1570" xml:space="preserve">Finchè noi, diſſe allora il <lb/>Signor D. </s>
  <s xml:id="echoid-s1571" xml:space="preserve">Serao, andremo dietro agli argomenti <lb/>dei metaſiſici, a voi non mancheranno le ſotti-<lb/>gliezze. </s>
  <s xml:id="echoid-s1572" xml:space="preserve">Intanto però tutte le opere della natura, <lb/>che noi intendiamo, noi le troviamo molto ſem-<lb/>plici; </s>
  <s xml:id="echoid-s1573" xml:space="preserve">e da quelle, che intendiamo, poſſiamo ſa-<lb/>re argomento dell’ altre. </s>
  <s xml:id="echoid-s1574" xml:space="preserve">Tutte le opere, riſpoſi <lb/>io, che intendiamo, della natura, le troviamo <lb/>ſemplici, perchè noi non intendiamo, ſe non le <lb/>ſemplici; </s>
  <s xml:id="echoid-s1575" xml:space="preserve">alle più compoſte non poſſiamo aggiun-<lb/>gere; </s>
  <s xml:id="echoid-s1576" xml:space="preserve">e quelle iſteſſe, che chiamiamo ſemplici, <lb/>non le diremmo forſe tali, ſe le intendeſſimo per-<lb/>fettamente; </s>
  <s xml:id="echoid-s1577" xml:space="preserve">che ſcopriremmo anche in eſſe un’ in-<lb/>finita varietà di azioni, e di qualità, e di modi, <lb/>che la picciolezza del noſtro intendere non ci per-<lb/>mette di diſcoprire; </s>
  <s xml:id="echoid-s1578" xml:space="preserve">eſſendo coſa vana il crede-<lb/>re, che gli artificj della natura non ſi eſtendan <lb/>più là delle noſtre cognizioni. </s>
  <s xml:id="echoid-s1579" xml:space="preserve">Vedete, diſſe il <lb/>Signor D. </s>
  <s xml:id="echoid-s1580" xml:space="preserve">Serao, la varietà dei colori, che pare-<lb/>va eſſere compoſtiſſima, come s’ è ridotta a ſem-<lb/>plicità, riducendoſi tutti quanti i colori a ſoli ſet-
<pb o="110" file="0134" n="134" rhead="DELLA FORZA DE’ CORPI"/>
to. </s>
  <s xml:id="echoid-s1581" xml:space="preserve">E vedete, diſſi, la luce, che ſi tenea per ſem-<lb/>pliciſſima, e poi s’ è trovata compoſta di ſette ſpe-<lb/>cie di raggi tra lor diverſiſſime; </s>
  <s xml:id="echoid-s1582" xml:space="preserve">le quali ſpecie<unsure/> <lb/>ſarebbono anche più, ſe la debolezza de’ noſtri <lb/>ſenſi ci laſciaſſe maggiormente diſtinguere tutte <lb/>le differenze, che ſono in ciaſcuna di loro; </s>
  <s xml:id="echoid-s1583" xml:space="preserve">le <lb/>quali differenze noi le chiamiamo piccole, non <lb/>perchè piccole ſieno, ma perchè piccole pajono <lb/>agli occhi noſtri; </s>
  <s xml:id="echoid-s1584" xml:space="preserve">e noi non ponendo lor mente <lb/>confondiamo inſieme molte ſpecie, e forſe di in-<lb/>finite ne facciamo una ſola. </s>
  <s xml:id="echoid-s1585" xml:space="preserve">Voi non la finirete <lb/>mai, diſſe qui la Signora Principeſſa. </s>
  <s xml:id="echoid-s1586" xml:space="preserve">E il Signor <lb/>D. </s>
  <s xml:id="echoid-s1587" xml:space="preserve">Serao, vedete, diſſe, anche i corpi celeſti, <lb/>che parean’ eſſere tanto varj tra loro, e di più ſpe-<lb/>cie, altri pianeti, altri comete; </s>
  <s xml:id="echoid-s1588" xml:space="preserve">et ora ſi ſon tro-<lb/>vati eſſere pianeti tutti, d’ un medeſimo ordine, <lb/>con le medeſime leggi, e per così dire d’ una <lb/>ſteſſa famiglia. </s>
  <s xml:id="echoid-s1589" xml:space="preserve">E queſta famiglia, riſpoſi io, in <lb/>quanta varietà ſi è poſta, e quanto ſi è ſconvolta <lb/>e turbata, da che le comete vi ſi ſono introdot-<lb/>te! Che già i pianeti ſi diſtinguevan tra loro ſo-<lb/>lamente d’ onore, per così dire, e di grado, aven-<lb/>do altri l’ accompagnamento dei ſatelliti, ed al-<lb/>tti nò, et eſſendone uno ſingolarmente ornato d’ <lb/>un mirabile anello; </s>
  <s xml:id="echoid-s1590" xml:space="preserve">ora quanto maggior varie-<lb/>tà et incoſtanza appariſce in loro! Che già altri <lb/>pianeti hanno la coda lunghiſſima, altri non ne <lb/>hanno punto; </s>
  <s xml:id="echoid-s1591" xml:space="preserve">altri ſi avvolgono d’ una foltiſſima <lb/>nebbia, et altri non hanno pur l’ atmosfera; </s>
  <s xml:id="echoid-s1592" xml:space="preserve">e <lb/>dove gli antichi pianeti ſi rivolgevano tutti, qua-
<pb o="111" file="0135" n="135" rhead="LIBRO I."/>
ſi di comune conſentimento, verſo una ſteſſa par-<lb/>te, ſenza che l’ uno rompeſſe o traverſaſſe il gi-<lb/>ro dell’ altro; </s>
  <s xml:id="echoid-s1593" xml:space="preserve">ora che le comete ſi ſon fatte pia-<lb/>neti, biſogna dire, che l’ un pianeta ſi volga ver-<lb/>ſo oriente, l’ altro verſo occidente, et alcuni <lb/>ſcorrano ſtranamente da ſettentrione a mezzodì, <lb/>et altri al contrario, e molti ancora ſenza riſpet-<lb/>to vengano impetuoſamente a cacciarſi entro gli <lb/>ſpazj de’ lor compagni, accoſtandoſi al ſole più, <lb/>che non pareva a pianeta convenirſi, non ſenza <lb/>pericolo di urtarlo una volta, e di romperlo. <lb/></s>
  <s xml:id="echoid-s1594" xml:space="preserve">Sicchè avendo noi fatto delle comete, e dei pia-<lb/>neti, come voi dite, una famiglia ſola, vedete in <lb/>quanto ſconvolgimento abbiamo poſto tutta la <lb/>caſa. </s>
  <s xml:id="echoid-s1595" xml:space="preserve">Laſciate una volta, diſſe quivi la Signora <lb/>Principeſſa a me rivolta, queſte voſtre poetiche <lb/>immagini, che a nulla ſervono; </s>
  <s xml:id="echoid-s1596" xml:space="preserve">e più toſto met-<lb/>tetevi a ſpiegarci la diffinizione della forza viva <lb/>del Padre Riccati; </s>
  <s xml:id="echoid-s1597" xml:space="preserve">il che fie più al propoſito. </s>
  <s xml:id="echoid-s1598" xml:space="preserve">Per-<unsure/> <lb/>chè quanto agli elaſtri, parendomi oramai l’ o-<lb/>ra eſſer tarda, credo che ben ſarà rimetterne il <lb/>diſcorſo ad’ oggi; </s>
  <s xml:id="echoid-s1599" xml:space="preserve">tanto più che le difficoltà pro-<lb/>poſte da queſti Signori ſon molte, e ricercheran-<lb/>no lunga diſputa; </s>
  <s xml:id="echoid-s1600" xml:space="preserve">ne voi farete poco, ſe le av-<lb/>rete tutte a memoria. </s>
  <s xml:id="echoid-s1601" xml:space="preserve">Signora, diſſi, ſe io non <lb/>avrò a memoria le difficoltà, che queſti Signori <lb/>hanno propoſte, forſe non le avranno ne eſſi pu-<lb/>re. </s>
  <s xml:id="echoid-s1602" xml:space="preserve">Così la diſputa dovrà eſser breviſſima. </s>
  <s xml:id="echoid-s1603" xml:space="preserve">Ma <lb/>io, diſse il Signor D. </s>
  <s xml:id="echoid-s1604" xml:space="preserve">Niccola, le ho bene a me-<lb/>moria io. </s>
  <s xml:id="echoid-s1605" xml:space="preserve">Voi intanto eſponete la diffinizione,
<pb o="112" file="0136" n="136" rhead="DELLA FORZA DE’ CORPI"/>
che la Signora Principeſsa deſidera, e vedete di <lb/>eſporla fedelmente; </s>
  <s xml:id="echoid-s1606" xml:space="preserve">perchè ſe la eſporrete a mo-<lb/>do voſtro, io, che ho letto l’ autore, ve ne ac-<lb/>cuſerò. </s>
  <s xml:id="echoid-s1607" xml:space="preserve">Anzi, riſpoſi io, avendo voi letto l’au-<lb/>tore, dovreſte darmi ajuto per eſporla meglio, e <lb/>non aſpettare ch’ io meritaſſi di eſsere accuſato. <lb/></s>
  <s xml:id="echoid-s1608" xml:space="preserve">Eſsendoſi qui alquanto riſo, dopo un breve ſilen-<lb/>zio incominciai: </s>
  <s xml:id="echoid-s1609" xml:space="preserve">La forza viva, che il Padre Ric-<lb/>cati ha introdotta, non è da poterſi intendere <lb/>così facilmente, ſe prima non ſi intendano due <lb/>potenze, tra le quali ella, per così dire, ſi ſta <lb/>naſcoſta. </s>
  <s xml:id="echoid-s1610" xml:space="preserve">Imperocchè cangiandoſi continuamente <lb/>i corpi, e acquiſtando nuove forme, e perden-<lb/>dole, biſogna, che ſieno in eſſi due potenze, l’ <lb/>una delle quali produca il cangiamento; </s>
  <s xml:id="echoid-s1611" xml:space="preserve">l’ altra <lb/>lo diſtrugga. </s>
  <s xml:id="echoid-s1612" xml:space="preserve">La gravità per eſempio fa cadete <lb/>un corpo: </s>
  <s xml:id="echoid-s1613" xml:space="preserve">eccovi una potenza, che produce nel <lb/>corpo un cangiamento, faccendolo paſsare dalla <lb/>quiete al moto. </s>
  <s xml:id="echoid-s1614" xml:space="preserve">La reſiſtenza poi, che egli trova, <lb/>lo ritorna alla quiete; </s>
  <s xml:id="echoid-s1615" xml:space="preserve">ed eccovi una potenza, che <lb/>diſtrugge il cangiamento, che la gravità avea pro-<lb/>dotto. </s>
  <s xml:id="echoid-s1616" xml:space="preserve">Ora tra queſte due potenze ha una for-<lb/>za, che il Padre Riccati chiama forza media, la <lb/>qual ne produce il cangiamento, ne lo diſtrugge; </s>
  <s xml:id="echoid-s1617" xml:space="preserve"><lb/>ma poichè è prodotto dalla potenza, lo conſer-<lb/>va, e lo conſerva fino a tanto, che ſia diſtrutto <lb/>dalla potenza contraria. </s>
  <s xml:id="echoid-s1618" xml:space="preserve">E queſta, ſecondo lui, <lb/>è la forza viva. </s>
  <s xml:id="echoid-s1619" xml:space="preserve">Voi potevate dir ſubito, diſſe al-<lb/>lora la Signora Principeſſa, che la forza viva del <lb/>Padre Riccati ſi è l’ inerzia, ſenza fare così lar-
<pb o="113" file="0137" n="137" rhead="LIBRO I."/>
go giro. </s>
  <s xml:id="echoid-s1620" xml:space="preserve">Che volete? </s>
  <s xml:id="echoid-s1621" xml:space="preserve">riſpoſi io allora; </s>
  <s xml:id="echoid-s1622" xml:space="preserve">il Padre <lb/>Riccati lo fa egli pure; </s>
  <s xml:id="echoid-s1623" xml:space="preserve">e ſe io nol faceva ancor’ <lb/>io, il Signor D. </s>
  <s xml:id="echoid-s1624" xml:space="preserve">Niccola mi avrebbe accuſato. <lb/></s>
  <s xml:id="echoid-s1625" xml:space="preserve">Per altro il Padre Riccati alla perfine viene anch’ <lb/>egli in queſto, che la forza viva altro non ſia, <lb/>che l’ inerzia, inquanto conſerva il cangiamento <lb/>prodotto da una potenza contro un’ altra poten-<lb/>za, che lo va diſtruggendo; </s>
  <s xml:id="echoid-s1626" xml:space="preserve">che è quanto dire: </s>
  <s xml:id="echoid-s1627" xml:space="preserve">la-<lb/>ſcia, che la potenza contraria lo diſtrugga a po-<lb/>co a poco, et eſſa intanto va conſervando gli a-<lb/>vanzi, finchè alcuno ne reſta. </s>
  <s xml:id="echoid-s1628" xml:space="preserve">Ma crede egli, diſ-<lb/>ſe allora la Signora Principeſſa, che l’ inerzia ſia <lb/>una vera forza, e che conſervando quegli avanzi <lb/>agiſca veramente ne corpi, come le altre forze <lb/>fanno? </s>
  <s xml:id="echoid-s1629" xml:space="preserve">No, riſpoſi; </s>
  <s xml:id="echoid-s1630" xml:space="preserve">anzi egli vuole il contrario; </s>
  <s xml:id="echoid-s1631" xml:space="preserve"><lb/>e come vedrete nel primo de ſuoi dialoghi, egli <lb/>ſpiega l’ inerzia eccellentemente, dicendo, che el-<lb/>la non ha alcuna azion vera, e non avendone al-<lb/>cuna, laſcia ſtar le coſe così, come ſono, e per-<lb/>ciò le ſi attribuiſce il conſervarle; </s>
  <s xml:id="echoid-s1632" xml:space="preserve">et è una virtù, <lb/>che ſi concepiſce da noi ne corpi, e forſe non <lb/>vi è. </s>
  <s xml:id="echoid-s1633" xml:space="preserve">Se così<unsure/> è, diſſe la Signora Principeſſa, la <lb/>forza viva del Padre Riccati non ſarà forſe ne <lb/>corpi, ma ſolo nella mente ſua; </s>
  <s xml:id="echoid-s1634" xml:space="preserve">e quando foſſe <lb/>ne corpi, non avrà molto da fare; </s>
  <s xml:id="echoid-s1635" xml:space="preserve">perchè non <lb/>avendo azion niuna, e laſciando ſtar le coſe, <lb/>come ſono, può ſtarſi in ozio, et anche an-<lb/>darſene, ſe a Dio piace. </s>
  <s xml:id="echoid-s1636" xml:space="preserve">Ma quale è de Leibni-<lb/>ziani, o de Bernulliani, che per forza viva in-<lb/>tenda una virtù così ozioſa? </s>
  <s xml:id="echoid-s1637" xml:space="preserve">la quale non che
<pb o="114" file="0138" n="138" rhead="DELLA FORZA DE’ CORPI"/>
forza viva, non veggo pure perchè debba chia-<lb/>marſi forza. </s>
  <s xml:id="echoid-s1638" xml:space="preserve">Biſogna, diſſi, che egli aveſſe, di che <lb/>illuſtrare l’ inerzia de corpi, e volendo farvi ſo-<lb/>pra un libro, abbia anche voluto nobilitarla con <lb/>un nome ſplendido, e chiamarla forza viva. </s>
  <s xml:id="echoid-s1639" xml:space="preserve">Nel <lb/>che ha uſato di quella libertà, che uſan talvolta <lb/>i filoſofi, e i matematici, imponendo i nomi a <lb/>modo loro. </s>
  <s xml:id="echoid-s1640" xml:space="preserve">Almeno, diſſe allora la Signora Prin-<lb/>cipeſſa, ſi ſarà egli aſtenuto da quelle forme, che <lb/>i Leibniziani, e i Bernulliani ſogliono tutto dì <lb/>avere in bocca, quando dicono, che le potenze <lb/>producon ne corpi, generano, trasfondano la for-<lb/>za viva; </s>
  <s xml:id="echoid-s1641" xml:space="preserve">perciocchè chi direbbe, che le potenze <lb/>producan ne corpi, generino, trasfondan l’ iner-<lb/>zia? </s>
  <s xml:id="echoid-s1642" xml:space="preserve">la quale è una virtù, che, ſe l’ hanno i cor-<lb/>pi, l’ hanno per lor medeſimi; </s>
  <s xml:id="echoid-s1643" xml:space="preserve">non la ricevono <lb/>in dono da alcuna potenza ſopravvegnente. </s>
  <s xml:id="echoid-s1644" xml:space="preserve">Uſa <lb/>beniſſimo, diſs’ io, tali forme, e voi ne vedrete <lb/>il libro pieno. </s>
  <s xml:id="echoid-s1645" xml:space="preserve">Ma ſe la forza viva è, ſecondo <lb/>lui, coteſta inerzia, diſſe allora la Signora Prin-<lb/>cipeſſa, come può egli poi ſoſtenere, che ſia pro-<lb/>porzionale al quadrato della velocità? </s>
  <s xml:id="echoid-s1646" xml:space="preserve">l’inerzia <lb/>è forſe tale? </s>
  <s xml:id="echoid-s1647" xml:space="preserve">Non ſo, riſpoſi; </s>
  <s xml:id="echoid-s1648" xml:space="preserve">e certo anche a me <lb/>è paruta ſtrana l’ opinione. </s>
  <s xml:id="echoid-s1649" xml:space="preserve">Non parrebbe tanto <lb/>ſtrana, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s1650" xml:space="preserve">Nicola, ſe voi a-<lb/>veſte ſpiegato bene ogni coſa; </s>
  <s xml:id="echoid-s1651" xml:space="preserve">perchè dicendoſi, <lb/>la forza viva eſſer l’ inerzia, cioè quella virtù, <lb/>che conſerva il cangiamento prodotto nel corpo <lb/>dalla potenza, biſogna intender bene, che coſa <lb/>ſia un tal cangiamento; </s>
  <s xml:id="echoid-s1652" xml:space="preserve">e queſto voi non avete
<pb o="115" file="0139" n="139" rhead="LLIBRO I."/>
ancora ſpiegato. </s>
  <s xml:id="echoid-s1653" xml:space="preserve">Chi non ſa, riſpoſi io allora, <lb/>ogni cangiamento eſſere il paſſaggio, che fa un <lb/>corpo o dalla quiete al movimento, o dal movi-<lb/>mento alla quiete, o da un movimento ad un’ al-<lb/>tro? </s>
  <s xml:id="echoid-s1654" xml:space="preserve">E queſto ſteſſo dice il Padre Riccati nel libro <lb/>ſuo alla pagina 234. </s>
  <s xml:id="echoid-s1655" xml:space="preserve">Oh! diſſe la Signora Princi-<lb/>peſſa, voi ſiete così felice di memoria, che vi ri-<lb/>cordate fin le pagine? </s>
  <s xml:id="echoid-s1656" xml:space="preserve">Io ſono tornato, diſſi, tan-<lb/>te volte ſu i medeſimi luoghi, che poſſo ricordar-<lb/>mi ancor le pagine ſenza quella tanta felicità, che <lb/>voi mi attribuite. </s>
  <s xml:id="echoid-s1657" xml:space="preserve">Ma per venire al propoſito; </s>
  <s xml:id="echoid-s1658" xml:space="preserve">ſe <lb/>ogni cangiamento, che la potenza genera nel cor-<lb/>po, ſi riduce a movimento; </s>
  <s xml:id="echoid-s1659" xml:space="preserve">e ſe la forza viva è <lb/>una virtù conſervatrice del cangiamento; </s>
  <s xml:id="echoid-s1660" xml:space="preserve">biſogne-<lb/>rà ben dire, che ella ſia una virtù conſervatrice <lb/>del movimento. </s>
  <s xml:id="echoid-s1661" xml:space="preserve">E s’ è così, ſarà anche propor-<lb/>zionale al movimento, ch’ ella conſerva; </s>
  <s xml:id="echoid-s1662" xml:space="preserve">come <lb/>dunque al quadrato della velocità? </s>
  <s xml:id="echoid-s1663" xml:space="preserve">Io non mi ri-<lb/>cordo così appunto i luoghi, diſſe allora il Signor <lb/>D. </s>
  <s xml:id="echoid-s1664" xml:space="preserve">Niccola; </s>
  <s xml:id="echoid-s1665" xml:space="preserve">ſo bene, che il Padre Riccati vuole, <lb/>che la potenza produca nel corpo non il movimen-<lb/>to, ne la velocità, ma altra coſa. </s>
  <s xml:id="echoid-s1666" xml:space="preserve">Come dite voi <lb/>dunque, che il cangiamento, che ella produce, <lb/>ſia la velocità, o il movimento? </s>
  <s xml:id="echoid-s1667" xml:space="preserve">Voi volete dire, <lb/>riſpoſi io allora, che la potenza ſecondo il P. </s>
  <s xml:id="echoid-s1668" xml:space="preserve">Ric-<lb/>cati produce immediatamente la forza viva, la <lb/>qual poi ſi trae dietro la velocità, come un ſuo <lb/>conſeguente; </s>
  <s xml:id="echoid-s1669" xml:space="preserve">il libro del Padre è tanto pieno di <lb/>ciò, che non occorre moſtrarne i luoghi. </s>
  <s xml:id="echoid-s1670" xml:space="preserve">Ma ciò <lb/>poſto, la forza viva ſarà dunque una virtù, che ſi
<pb o="116" file="0140" n="140" rhead="DELLA FORZA DE’ CORPI"/>
trae dietro la velocità; </s>
  <s xml:id="echoid-s1671" xml:space="preserve">come ſarà ella dunque l’ <lb/>inerzia? </s>
  <s xml:id="echoid-s1672" xml:space="preserve">Diremo noi, che l’ inerzia, che è una <lb/>virtù indifferente a qualſivoglia modo di eſſere, <lb/>ſi tragga dietro la velocità? </s>
  <s xml:id="echoid-s1673" xml:space="preserve">e quando bene la ſi <lb/>traeſſe dietro, e la conſervaſſe, pur ſarebbe per <lb/>queſto ſteſſo proporzionale alla velocità. </s>
  <s xml:id="echoid-s1674" xml:space="preserve">Percioc-<lb/>chè che altro dovrebbe conſiderarſi in eſſa, ſe non <lb/>l’ atto del trarſi dietro la velocità, e del conſer-<lb/>varla? </s>
  <s xml:id="echoid-s1675" xml:space="preserve">il quale atto tanto è certamente maggio-<lb/>re, quanto maggiore è la velocità, che ſi con-<lb/>ſerva, e ſi trae. </s>
  <s xml:id="echoid-s1676" xml:space="preserve">Coteſta ragione, diſſe qui-<lb/>vi il Signor D. </s>
  <s xml:id="echoid-s1677" xml:space="preserve">Nicola, è un poco ſottile, <lb/>et a molti parrà oſcura. </s>
  <s xml:id="echoid-s1678" xml:space="preserve">E per queſto, riſpo-<lb/>ſi io, ſarà ella falſa? </s>
  <s xml:id="echoid-s1679" xml:space="preserve">Io non voglio, diſſe al-<lb/>lora il Signor D. </s>
  <s xml:id="echoid-s1680" xml:space="preserve">Niccola, diſputar di ciò; </s>
  <s xml:id="echoid-s1681" xml:space="preserve">ma <lb/>tornando al propoſito del cangiamento, per veder <lb/>pure in che coſa egli conſiſta, io dico, che ſe la <lb/>potenza, ſecondo il P. </s>
  <s xml:id="echoid-s1682" xml:space="preserve">Riccati, produce nel cor-<lb/>po la forza viva, onde poi ſegue il movimento, <lb/>e la velocità; </s>
  <s xml:id="echoid-s1683" xml:space="preserve">potrebbe forſe il cangiamento con-<lb/>ſiſtere in quella forza viva, che il corpo acqui-<lb/>ſta; </s>
  <s xml:id="echoid-s1684" xml:space="preserve">potrebbe anche conſiſtere in quella velocità, <lb/>che ne ſegue; </s>
  <s xml:id="echoid-s1685" xml:space="preserve">e perchè non anche in quel ſempli-<lb/>ce paſſar, che fa il corpo, da un luogo ad un’ altro? <lb/></s>
  <s xml:id="echoid-s1686" xml:space="preserve">E ſe voi non ci dichiarate, in che veramente il <lb/>cangiamento debba conſiſtere, non ci avrete mai <lb/>dichiarata la forza viva del P. </s>
  <s xml:id="echoid-s1687" xml:space="preserve">Riccati, che è la <lb/>conſervatrice del cangiamento. </s>
  <s xml:id="echoid-s1688" xml:space="preserve">E quand’ egli foſ-<lb/>ſe oſcuro in queſta parte, non per ciò dovreſte <lb/>voi dire, che foſſe falſo. </s>
  <s xml:id="echoid-s1689" xml:space="preserve">Oſcuro, riſpoſi io allo-
<pb o="117" file="0141" n="141" rhead="LIBRO I."/>
ra, quanto a me, egli è certo; </s>
  <s xml:id="echoid-s1690" xml:space="preserve">e come intendete <lb/>voi quello, ch’ e’ dice, che la forza viva ſi vuole <lb/>ammettere, acciocchè l’ effetto ſia eguale alla ca-<lb/>gione; </s>
  <s xml:id="echoid-s1691" xml:space="preserve">moſtrando poi in tanti luoghi, particolar-<lb/>mentealle pagine 175. </s>
  <s xml:id="echoid-s1692" xml:space="preserve">176. </s>
  <s xml:id="echoid-s1693" xml:space="preserve">di averla non per una <lb/>qualità reale de corpi, ma per una ſemplice idea de <lb/>i matematici; </s>
  <s xml:id="echoid-s1694" xml:space="preserve">quaſi gli effetti doveſſero uguagliarſi <lb/>alle lor cagioni nella mente dei matematlci, e non <lb/>ne i corpi. </s>
  <s xml:id="echoid-s1695" xml:space="preserve">Ma vegniamo al cangiamento, di cui <lb/>dicevate: </s>
  <s xml:id="echoid-s1696" xml:space="preserve">intorno al quale io argomenterò per <lb/>modo, che non avrò biſogno di ſtabilire, in che <lb/>egli conſiſta; </s>
  <s xml:id="echoid-s1697" xml:space="preserve">perchè in qualunque conſiſta delle <lb/>tre coſe, che avete detto, io vi farò chiaro che <lb/>ſempre confuſione ne naſce, e diſordine. </s>
  <s xml:id="echoid-s1698" xml:space="preserve">E pri-<lb/>mamente ſe il cangiamento prodotto dalla poten-<lb/>za foſſe la forza viva, che il corpo acquiſta; </s>
  <s xml:id="echoid-s1699" xml:space="preserve">di-<lb/>cendoſi poi, che la forza viva è una virtù con-<lb/>ſervatrice del cangiamento, verrebbe a dirſi che <lb/>la forza viva foſſe una virtù conſervatrice della <lb/>forza viva; </s>
  <s xml:id="echoid-s1700" xml:space="preserve">che ſarebbe brutta definizione. </s>
  <s xml:id="echoid-s1701" xml:space="preserve">Se il <lb/>cangiamento poi foſſe la velocità; </s>
  <s xml:id="echoid-s1702" xml:space="preserve">ne ſeguirebbe, <lb/>che la forza viva, che ne è la conſervatrice, ſa-<lb/>rebbe la conſervatrice della velocità, e non eſ-<lb/>ſendo altro, ſarebbe proporzionale alla velocità, <lb/>cui conſervaſſe. </s>
  <s xml:id="echoid-s1703" xml:space="preserve">Che ſe il cangiamento prodotto <lb/>dalla potenza foſſe quel paſſar, che fa il corpo, da <lb/>un luogo ad un’ altro; </s>
  <s xml:id="echoid-s1704" xml:space="preserve">io dimando prima, come <lb/>poſſa la potenza determinare il corpo a ſcorrere <lb/>un certo ſpazio, e non determinarlo inſieme a <lb/>ſcorrerlo in certo tempo; </s>
  <s xml:id="echoid-s1705" xml:space="preserve">perchè in verità fino a
<pb o="118" file="0142" n="142" rhead="DELLA FORZA DE’ CORPI"/>
tanto, che il corpo ſarà indifferente a ſcorrerlo <lb/>in un tempo, o in un’ altro, non lo ſcorrerà mai, <lb/>ne mai potrà dirſi determinato a ſcorrerlo. </s>
  <s xml:id="echoid-s1706" xml:space="preserve">Ora <lb/>ſe la potenza determina il corpo a ſcorrer un <lb/>certo ſpazio in certo tempo; </s>
  <s xml:id="echoid-s1707" xml:space="preserve">e queſto è il cangia-<lb/>mento; </s>
  <s xml:id="echoid-s1708" xml:space="preserve">chi non vede, che il cangiamento ſi ri-<lb/>duce alla velocità, e ci richiama all’ argomento <lb/>poc’ anzi detto? </s>
  <s xml:id="echoid-s1709" xml:space="preserve">Ne mi ſi dica che l’ effetto della <lb/>potenza ſia il paſſaggio del corpo da un luogo ad <lb/>un’ altro, aſtratto, e ſeparato da ogni tempo, per-<lb/>chè io dirò che queſta è coſa troppo ſottile, e <lb/>parrà oſcura. </s>
  <s xml:id="echoid-s1710" xml:space="preserve">Sorriſe quivi la Signora Principeſ-<lb/>ſa; </s>
  <s xml:id="echoid-s1711" xml:space="preserve">e laſciando, diſſe, una tal controverſia da par-<lb/>te, io vorrei bene, che mi ſpiegaſſe il P. </s>
  <s xml:id="echoid-s1712" xml:space="preserve">Ric-<lb/>cati, che coſa intenda egli dicendo che la velo-<lb/>cità non è un’ effetto della forza viva, ma un <lb/>conſeguente. </s>
  <s xml:id="echoid-s1713" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s1714" xml:space="preserve">Niccola riden-<lb/>do, queſti, diſſe, che ſi ricorda le pagine, il vi <lb/>dirà egli. </s>
  <s xml:id="echoid-s1715" xml:space="preserve">Ne parla, diſſi io, ſe altro non volete, <lb/>alla pagina 22, ma non lo ſpiega gran fatto; </s>
  <s xml:id="echoid-s1716" xml:space="preserve">ri-<lb/>mettendoſene a Carteſiani, i quali ſe vogliono, <lb/>dice egli, che la velocità ſia un conſeguente del-<lb/>la quantità del moto, non già un’ effetto; </s>
  <s xml:id="echoid-s1717" xml:space="preserve">per-<lb/>chè non potrò io ſimilmente dire, che ſia non già <lb/>un’ effetto, ma un conſeguente della forza viva? <lb/></s>
  <s xml:id="echoid-s1718" xml:space="preserve">così egli; </s>
  <s xml:id="echoid-s1719" xml:space="preserve">ma io temo, che i Carteſiani diranno, <lb/>la velocità eſſere la quantità ſteſſa del moto, e <lb/>non un conſeguente di eſſa; </s>
  <s xml:id="echoid-s1720" xml:space="preserve">e rifiuteranno di <lb/>ſpiegare un conſeguente, che non ammettono, <lb/>aſpettando intanto, che il Padre Riccati ſpie-
<pb o="119" file="0143" n="143" rhead="LIBRO I."/>
ghi quel conſeguente, che ammette egli. </s>
  <s xml:id="echoid-s1721" xml:space="preserve">A <lb/>vendo io detto fin qui, il Signor Marcheſe di <lb/>Campo Hermoſo, che s’ era lungo tempo ta-<lb/>ciuto; </s>
  <s xml:id="echoid-s1722" xml:space="preserve">a me par, diſſe, che ſe la forza viva ſi <lb/>trae dietro la velocità, eziandio come un con-<lb/>ſeguente, convenevol coſa ſia, che gradi eguali <lb/>di forza viva debbano trarſi dietro eguali velo-<lb/>cità; </s>
  <s xml:id="echoid-s1723" xml:space="preserve">e ciò preſuppoſto, come potrebbe la for-<lb/>za viva non eſſere alla velocità ſteſſa proporzio-<lb/>nale? </s>
  <s xml:id="echoid-s1724" xml:space="preserve">Imperocchè ſe un corpo acquiſta più gra-<lb/>di di forza viva l’ un dopo l’ altro, e tutti e-<lb/>guali tra loro; </s>
  <s xml:id="echoid-s1725" xml:space="preserve">venendo dietro a ciaſcun d’ eſ-<lb/>ſi un’ eguale velocità, dovrà bene la ſomma de <lb/>i gradi della forza viva eſſere proporzionale al-<lb/>la ſomma delle velocità. </s>
  <s xml:id="echoid-s1726" xml:space="preserve">Così ſarebbe veramen-<lb/>te, riſpoſe allora il Signor D. </s>
  <s xml:id="echoid-s1727" xml:space="preserve">Niccola, ſe il ſe-<lb/>condo grado di forza viva traeſſe ſeco una veloci-<lb/>tà eguale a quella, che ſeco traſſe il primo; </s>
  <s xml:id="echoid-s1728" xml:space="preserve">e co-<lb/>sì faceſſero gli altri. </s>
  <s xml:id="echoid-s1729" xml:space="preserve">E perchè non la trarrà, diſſe il <lb/>Signor Marcheſe, eſſendo il ſecondo del tutto egua-<lb/>le al primo? </s>
  <s xml:id="echoid-s1730" xml:space="preserve">Perchè, riſpoſe il Sig. </s>
  <s xml:id="echoid-s1731" xml:space="preserve">D. </s>
  <s xml:id="echoid-s1732" xml:space="preserve">Nicola, quant-<lb/>unque il ſecondo ſia in tutto eguale al primo, <lb/>vien però dopo lui, e ſuccedendogli, gli ha <lb/>queſto riſpetto di ſminuire la ſua velocità per <lb/>modo che eſſendo 2 la ſomma de i gradi della <lb/>forza, ſia la ſomma dei gradi della velocità non <lb/>2, ma √ 2; </s>
  <s xml:id="echoid-s1733" xml:space="preserve">e così tutti gli altri gradi di forza <lb/>viva, che dopoi ſopravvengono, ſminuiſcono, e <lb/>temperano ognuno la ſua velocità con lo ſteſ-
<pb o="120" file="0144" n="144" rhead="DELLA FORZA DE’ CORPI"/>
ſo riguardo. </s>
  <s xml:id="echoid-s1734" xml:space="preserve">Qui rimaſeſi il Signor Marcheſe, <lb/>quaſi ſoprapreſo; </s>
  <s xml:id="echoid-s1735" xml:space="preserve">poi diſſe: </s>
  <s xml:id="echoid-s1736" xml:space="preserve">quale ingegno han-<lb/>no i gradi della forza viva ſopravvenendo l’ uno <lb/>all’ altro, di temperare in tal modo le loro ve-<lb/>locità? </s>
  <s xml:id="echoid-s1737" xml:space="preserve">e chi ha dato loro un tal conſiglio? </s>
  <s xml:id="echoid-s1738" xml:space="preserve">Voi <lb/>vorreſte ſaper troppo, diſſe allora il Signor D. <lb/></s>
  <s xml:id="echoid-s1739" xml:space="preserve">Niccola ridendo; </s>
  <s xml:id="echoid-s1740" xml:space="preserve">baſta bene, che la coſa eſſer <lb/>poſſa, perchè voi non dobbiate con tanta anſie-<lb/>tà cercar del come. </s>
  <s xml:id="echoid-s1741" xml:space="preserve">Pur, diſſe il Signor Mar-<lb/>cheſe, non intendendo io il come, non può <lb/>piacermi la coſa; </s>
  <s xml:id="echoid-s1742" xml:space="preserve">et amerei meglio una ſenten-<lb/>za, che non mi laſciaſſe inquieto del come. </s>
  <s xml:id="echoid-s1743" xml:space="preserve">Ma <lb/>che direſte voi, ripigliò allora il Signor D. </s>
  <s xml:id="echoid-s1744" xml:space="preserve">Ni-<lb/>cola, ſe il Padre Riccati vi dimoſtraſſe la for-<lb/>za viva, che che ella ſiaſi, eſſere neceſſaria nella na-<lb/>tura? </s>
  <s xml:id="echoid-s1745" xml:space="preserve">Mi diſpiacerebbe, diſſe il Signor Marche-<lb/>ſe, che foſſe neceſſaria una coſa, ch’ io non <lb/>intendo; </s>
  <s xml:id="echoid-s1746" xml:space="preserve">pure, eſſendo neceſſaria, la ammette-<lb/>rei. </s>
  <s xml:id="echoid-s1747" xml:space="preserve">Or queſto egli dimoſtra, diſſe il Signor D. </s>
  <s xml:id="echoid-s1748" xml:space="preserve"><lb/>Niccola, nel ſettimo de ſuoi dialoghi, il qual <lb/>contiene, per così dire, la ſomma di tutta quell’ <lb/>opera; </s>
  <s xml:id="echoid-s1749" xml:space="preserve">faccendo vedere con un ſuo ſottiliſſimo <lb/>argomento, che, ſe la potenza produceſſe nel <lb/>corpo, non una forza viva proporzionale al <lb/>quadrato della velocità, ma la velocità ſteſſa, <lb/>interverrebbe talvolta nella natura, che l’ effet-<lb/>to non ſarebbe proporzionale alla cagione. </s>
  <s xml:id="echoid-s1750" xml:space="preserve">L’ <lb/>argomento, diſſe quivi la Signora Principeſſa, <lb/>par, che debba eſſer degno di conſiderazione; </s>
  <s xml:id="echoid-s1751" xml:space="preserve"><lb/>indi guardando verſo di me, a voi toccherà,
<pb o="121" file="0145" n="145" rhead="LIBRO I."/>
diſſe, di ſcioglierlo, ſe pur volete ſoſtenere quella <lb/>voſtra opinione, che niente ſi faccia nella natu-<lb/>ra ſe non per via di potenze, che producano, <lb/>o diſtruggano la velocità. </s>
  <s xml:id="echoid-s1752" xml:space="preserve">Così che, diſſi, a <lb/>me tocca di fare ogni coſa. </s>
  <s xml:id="echoid-s1753" xml:space="preserve">Allora la Signo-<lb/>ra Principeſſa ſorridendo diſſe: </s>
  <s xml:id="echoid-s1754" xml:space="preserve">il Signor D. </s>
  <s xml:id="echoid-s1755" xml:space="preserve">Ni-<lb/>cola eſporrà l’ argomento, e voi lo ſciogliere-<lb/>te. </s>
  <s xml:id="echoid-s1756" xml:space="preserve">Et io, ſe l’ argomento, riſpoſi, ſarà e-<lb/>vidente, non avrò nulla da ſciogliere. </s>
  <s xml:id="echoid-s1757" xml:space="preserve">Egli è <lb/>ben vero, che, ſe non mi ſi moſtrerà chiara-<lb/>mente, che la forza viva ſia neceſſaria, come <lb/>ora diceva il Signor D. </s>
  <s xml:id="echoid-s1758" xml:space="preserve">Niccola, mi dovrà eſ-<lb/>ſer lecito di ritenere l’ opinion mia, e ridurre <lb/>ogni coſa alle potenze, et all’ inerzia; </s>
  <s xml:id="echoid-s1759" xml:space="preserve">la qual’ <lb/>opinione non è tanto mia, che non ſia anche d’ <lb/>altri; </s>
  <s xml:id="echoid-s1760" xml:space="preserve">et oltre a ciò è più facile, e più ſpedita, <lb/>e più ſemplice. </s>
  <s xml:id="echoid-s1761" xml:space="preserve">Neſſuno, diſſe la Signora Prin-<lb/>cipeſſa, potrà contendervelo. </s>
  <s xml:id="echoid-s1762" xml:space="preserve">Vedete però, diſ-<lb/>ſe allora il Signor D. </s>
  <s xml:id="echoid-s1763" xml:space="preserve">Serao, che ritenendovi la <lb/>voſtra opinione per quella ragione, che dite, <lb/>non paja, che voi ſeguitiate quel principio di <lb/>ſemplicità, che poco innanzi avete preteſo, eſſe-<lb/>re ſtato introdotto dai filoſofi più per comodo <lb/>loro, che per la verità. </s>
  <s xml:id="echoid-s1764" xml:space="preserve">Quando io lo ſegui-<lb/>taſſi, riſpoſi, cercherei iI mio comodo; </s>
  <s xml:id="echoid-s1765" xml:space="preserve">il che <lb/>hanno fatto tutti i filoſofi; </s>
  <s xml:id="echoid-s1766" xml:space="preserve">ma io credo in ve-<lb/>rità, che quantunque il ſapientiſſimo facitor del-<lb/>le coſe poſſa far tutto, che a lui piace; </s>
  <s xml:id="echoid-s1767" xml:space="preserve">a noi <lb/>però ſta di non ammettere ſe non quello, che <lb/>ſappiamo aver lui fatto; </s>
  <s xml:id="echoid-s1768" xml:space="preserve">ne poſſiamo ſapere ciò
<pb o="122" file="0146" n="146" rhead="DELLA FORZA DE’ CORPI"/>
ch’ egli s’ abbia fatto, ſe non in due manie-<lb/>re, o veggendolo con gli occhi noſtri già fat-<lb/>to, o argomentandolo dalla neceſſità, che v’e-<lb/>ra di farlo. </s>
  <s xml:id="echoid-s1769" xml:space="preserve">Voi dite beniſſimo, riſpoſe il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s1770" xml:space="preserve">Serao, ne a noi conviene di aggiunge-<lb/>re a piacer noſtro alcuna coſa a quelle, che tro-<lb/>viamo aver fatte il ſapientiſſimo autore della na-<lb/>tura. </s>
  <s xml:id="echoid-s1771" xml:space="preserve">Ma a me però non potrà mai capir nell’ <lb/>animo, che quel ſapientiſſimo ne faccia pur una <lb/>oltre il biſogno. </s>
  <s xml:id="echoid-s1772" xml:space="preserve">Sì, riſpoſi io, ſe le faceſse per <lb/>biſogno. </s>
  <s xml:id="echoid-s1773" xml:space="preserve">Qui volendo riſpondere il Signor D. <lb/></s>
  <s xml:id="echoid-s1774" xml:space="preserve">Serao, la Signora Principeſſa lo interruppe, e <lb/>diſſe: </s>
  <s xml:id="echoid-s1775" xml:space="preserve">voi tornereſte per poco all’ iſteſsa lite; </s>
  <s xml:id="echoid-s1776" xml:space="preserve"><lb/>della quale s’ è oramai detto più che meſtieri <lb/>non era; </s>
  <s xml:id="echoid-s1777" xml:space="preserve">pure ſe vi reſta ancor da dirne, po-<lb/>tremo rimetterla ad altro tempo. </s>
  <s xml:id="echoid-s1778" xml:space="preserve">Or parmi, che <lb/>il ſole ſi avanzi di gran paſso verſo il meriggio, <lb/>così che queſt’ albero poſsa oramai mal difen-<lb/>derci. </s>
  <s xml:id="echoid-s1779" xml:space="preserve">Il perchè fie bene che noi ci accoſtia-<lb/>mo a caſa il Signor Governatore. </s>
  <s xml:id="echoid-s1780" xml:space="preserve">Avendo <lb/>così detto, et eſsendoſi in piè levata, ci levam-<lb/>mo tutti; </s>
  <s xml:id="echoid-s1781" xml:space="preserve">indi pian piano ci accoſtammo alla ca-<lb/>ſa, nella quale già eran meſse le tavole; </s>
  <s xml:id="echoid-s1782" xml:space="preserve">e dopo <lb/>alcuni piacevoli ragionamenti avuti col Gover-<lb/>natore, e con altri Signori, che preſso lui erano, <lb/>eſsendo l’ ora del deſinar venuta fummo con. </s>
  <s xml:id="echoid-s1783" xml:space="preserve"><lb/>grandiſſima magnificenza, e tanto onorevolmen-<lb/>te ſerviti, che più non potea deſiderarſi. </s>
  <s xml:id="echoid-s1784" xml:space="preserve">Fini-<lb/>to il mangiare, la Signora Principeſsa ſi fece. </s>
  <s xml:id="echoid-s1785" xml:space="preserve"><lb/>venire innanzi una giovinetta oltremodo bella.</s>
  <s xml:id="echoid-s1786" xml:space="preserve">
<pb o="123" file="0147" n="147" rhead="LIBRO I."/>
e vezzoſa, ſiglia del Signor Governatore, la. <lb/></s>
  <s xml:id="echoid-s1787" xml:space="preserve">quale, avendo lei prima, e poi tutta la com-<lb/>pagnia riverentemente ſalutata, recandoſi al pet-<lb/>to un ſuo liuto, e maeſtrevolmente toccandolo; </s>
  <s xml:id="echoid-s1788" xml:space="preserve"><lb/>cantò con la maggior grazia del mondo alquan-<lb/>te leggiadriſſime canzonette in lingua Siciliana.</s>
  <s xml:id="echoid-s1789" xml:space="preserve">; <lb/>fornite le quali, avendo tutti il canto e la bellez-<lb/>za della vaga fanciulla ſommamente commenda-<lb/>to, la Signora Principeſsa s’ andò a ripoſare <lb/>nelle ſtanze apparecchiatele; </s>
  <s xml:id="echoid-s1790" xml:space="preserve">il Signor D. </s>
  <s xml:id="echoid-s1791" xml:space="preserve">Serao <lb/>et io andammo nel giardino; </s>
  <s xml:id="echoid-s1792" xml:space="preserve">il Signor D. </s>
  <s xml:id="echoid-s1793" xml:space="preserve">Ni-<lb/>cola, e il Signor Marcheſe di Campo Hermo-<lb/>ſo nella libreria.</s>
  <s xml:id="echoid-s1794" xml:space="preserve"/>
</p>
<div xml:id="echoid-div4" type="float" level="2" n="1">
<note position="left" xlink:label="note-0070-01" xlink:href="note-0070-01a" xml:space="preserve">F.I.</note>
<note position="left" xlink:label="note-0092-01" xlink:href="note-0092-01a" xml:space="preserve">F. II.</note>
</div>
<p style="it">
  <s xml:id="echoid-s1795" xml:space="preserve">Fine del Primo Libre.</s>
  <s xml:id="echoid-s1796" xml:space="preserve"/>
</p>
<pb file="0148" n="148"/>
<pb o="125" file="0149" n="149"/>
</div>
<div xml:id="echoid-div6" type="section" level="1" n="5">
<head xml:id="echoid-head14" xml:space="preserve">DELLA FORZA DE CORPI <lb/>CHE CHIAMANO VIVA <lb/><emph style="it">LIBRO II.</emph> <lb/>AL SIGNOR</head>
<head xml:id="echoid-head15" xml:space="preserve">GIAMBATISTA MORGAGNI.</head>
<p>
  <s xml:id="echoid-s1797" xml:space="preserve">IO mi ſono aſſai volte meco ſteſſo <lb/>maravigliato, Signor Giambatiſta <lb/>cariſſimo, per qual cagione, aven-<lb/>do tanti eccellentiſſimi ſcrittori de-<lb/>ſcritta, chi in un genere, e chi in <lb/>un’ altro, la forma dell’ ottimo, <lb/>in cui gli uomini riguardando conoſcer meglio <lb/>poteſſero le lor mancanze, e correggendoſi a nor-<lb/>ma di quella farſi più perfetti, e migliori; </s>
  <s xml:id="echoid-s1798" xml:space="preserve">a niu-<lb/>no, ch’ io ſappia, ſia venuto in animo di deſcri-<lb/>ver la forma del filoſofo perfettiſſimo. </s>
  <s xml:id="echoid-s1799" xml:space="preserve">Perchè co-<lb/>minciando dai tempi antichiſſimi, e riſalendo al-<lb/>le memorie ultime delle lettere, noi troveremo, <lb/>che i poeti, i quali pare, che ſieno ſtati i primi <lb/>a ſvegliar gli uomini, et incitargli alla virtù, <lb/>hanno ſempre avuto una certa maniera di poeſia, <lb/>da eſſi chiamata epopeia, nella quale ſotto la ſpe-<lb/>cie di un qualche eroe hanno inteſo di moſtrare <lb/>agli uomini la forma di un perfettiſſimo princi-
<pb o="126" file="0150" n="150" rhead="DELLA FORZA DE’ CORPI"/>
pe, e condottiere. </s>
  <s xml:id="echoid-s1800" xml:space="preserve">E pare che Senofonte, fingen-<lb/>d o di ſcriver l’ iſtoria del Re Ciro, abbia voluto <lb/>imitarli; </s>
  <s xml:id="echoid-s1801" xml:space="preserve">eſſendo opinione di molti, che egli, eſ-<lb/>ponendo le azioni, e le virtù di quel Re glorio-<lb/>ſiſſimo, non tali le eſponeſſe, quali furono, ma <lb/>quali a lui pareva, che eſſer doveſſero. </s>
  <s xml:id="echoid-s1802" xml:space="preserve">Platone <lb/>propoſe la forma d’ una perfetta repubblica, e fu <lb/>ſeguito nello ſteſſo argomento da Cicerone, il qua-<lb/>le vi aggiunſe anche quella dell’ ottimo oratore. <lb/></s>
  <s xml:id="echoid-s1803" xml:space="preserve">Ne potè Quintiliano aſtenerſi dal deſcrivere la me-<lb/>deſima, quantunque l’ aveſſe deſcritta Cicerone. </s>
  <s xml:id="echoid-s1804" xml:space="preserve"><lb/>E per laſciare gli antichi, venendo ai tempi ulti-<lb/>mi, et a noſtri, voi ſapete, che il Conte Baldaſ-<lb/>ſar Caſtiglione eſpoſe in quattro libri la perfetta <lb/>cortegiania per così fatto modo, che parve niuna <lb/>coſa potere immaginarſi ne più bella, ne più no-<lb/>bile, ne più magnifica di quel ſuo cortegiano; </s>
  <s xml:id="echoid-s1805" xml:space="preserve">il <lb/>qual però avrebbe, cred’ io, ceduto al voſtro a-<lb/>natomico, ſe come voi lo adombraſte una volta <lb/>in una voſtra belliſſima orazione, così aveſte poi <lb/>preſo cura di veſtirlo et ornarlo, e farlo vedere <lb/>agli occhi degli uomini ricco e fornito di tutte <lb/>quelle doti, e qualità, che ad un ſommo anato-<lb/>mico ſi conveniſſero. </s>
  <s xml:id="echoid-s1806" xml:space="preserve">Ma voi, diſtratto dalle vo-<lb/>ſtre moltiſſime, e graviſſime occupazioni, avete <lb/>voluto più toſto eſsere quell’ eccellentiſſimo a-<lb/>natomico, che formavate nell’ animo, che deſcri-<lb/>verlo. </s>
  <s xml:id="echoid-s1807" xml:space="preserve">Se dunque la forma, e la natura dell’ <lb/>ottimo ha tirato a ſe lo ſtudio, e l’ attenzione <lb/>di tanti valentiſſimi ſcrittori nelle arti nobili, e
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liberali; </s>
  <s xml:id="echoid-s1808" xml:space="preserve">e ſe alcuni l’ hanno ſeguita eziandio nel-<lb/>le più vili e plebee, eſſendo ſtato un Franceſe, <lb/>che ha deſcritto con ſomma accuratezza la forma <lb/>del perfettiſſimo cuoco; </s>
  <s xml:id="echoid-s1809" xml:space="preserve">parea ben ragionevole, <lb/>che alcuno prendeſſe a deſcrivere, e formar l’ im-<lb/>magine di un ſapientiſſimo ſiloſofo, a cui nulla <lb/>mancaſſe, e in cui nulla deſiderar ſi poteſſe. </s>
  <s xml:id="echoid-s1810" xml:space="preserve">Ma <lb/>io credo, due ragioni principalmente aver diſtol-<lb/>to gli uomini da ciò fare; </s>
  <s xml:id="echoid-s1811" xml:space="preserve">delle quali la prima <lb/>penſo, che ſia la grandiſſima, e ſomma difficoltà <lb/>di inſtituire queſto filoſofo così perfetto. </s>
  <s xml:id="echoid-s1812" xml:space="preserve">Percioc-<lb/>chè ſe nelle altre diſcipline, che ſon più anguſte <lb/>e riſtrette, pur è difficile ſcorger quell’ ultimo <lb/>grado di perfezione, a cui poſſon giungere; </s>
  <s xml:id="echoid-s1813" xml:space="preserve">quan-<lb/>to più lo ſarà nella filoſofia.</s>
  <s xml:id="echoid-s1814" xml:space="preserve">, la qual vagando <lb/>per tutte le coſe, che in mente umana cader poſ-<lb/>ſono, non ha confine ne limite alcuno? </s>
  <s xml:id="echoid-s1815" xml:space="preserve">Che ſe <lb/>ognuna di quelle, per eſſer perfetta, ha biſogno <lb/>delle altre diſcipline a lei propinque, da cui pe-<lb/>rò ſol tanto prende, quanto le baſta per eſſer più <lb/>bella, et ornarſene; </s>
  <s xml:id="echoid-s1816" xml:space="preserve">che diremo della filoſoſia, che <lb/>vuol profeſſarle, et eſſer maeſtra, e direttrice di <lb/>tutte? </s>
  <s xml:id="echoid-s1817" xml:space="preserve">onde ſi vede a lei richiederſi molto mag-<lb/>gior dovizia di cognizioni, e di lumi, che a qual-<lb/>ſivoglia altra. </s>
  <s xml:id="echoid-s1818" xml:space="preserve">E certo non potrà alcuno, non che <lb/>filoſofo perfettiſſimo, ma, a mio giudicio, ne <lb/>pur filoſofo chiamarſi, ſe egli non avrà una mol-<lb/>to acuta, e profonda dialettica, per cui poſſa, e <lb/>definir le coſe preſtamente, e diſtinguerle, e di-<lb/>ſtribuirle, e trovar gli argomenti, conoſcendone
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il valore, e la forza; </s>
  <s xml:id="echoid-s1819" xml:space="preserve">e ſapendo miſurare la loro <lb/>probabilità, e contentarſene, qualora non poſſa <lb/>giungerſi all’ evidenza; </s>
  <s xml:id="echoid-s1820" xml:space="preserve">ricercando poi l’ eviden-<lb/>za in quei luoghi, ove qualche ſperanza ci ſe ne <lb/>moſtri: </s>
  <s xml:id="echoid-s1821" xml:space="preserve">e non far, come quelli, i quali aſſueti <lb/>all’ evidenza dei matematici ſoffrir non poſſono le <lb/>ragioni probabili dei giuriſti, ovvero avvezzi al-<lb/>la probabilità dei giuriſti ſi nojano delle ragioni <lb/>evidenti dei matematici; </s>
  <s xml:id="echoid-s1822" xml:space="preserve">nel che errano cosi gli <lb/>uni, come gli altri. </s>
  <s xml:id="echoid-s1823" xml:space="preserve">Et anche dovrebbe per eſſer <lb/>degno del nome di filoſoſo ſapere perfettamente <lb/>tutte le fallacie; </s>
  <s xml:id="echoid-s1824" xml:space="preserve">perchè ſebbene è vergogna tal-<lb/>volta l’ uſarle, è però molto maggior vergogna, <lb/>eſſendo uſate da altri, il non ſaper ſvolgerle, e <lb/>diſcoprirle. </s>
  <s xml:id="echoid-s1825" xml:space="preserve">Ne con tutta queſta ſcienza però ſa-<lb/>rà gran fatto il filoſofo da apprezzarſi, ſe egli non <lb/>ſe ne ſervirà a conſeguire le altre; </s>
  <s xml:id="echoid-s1826" xml:space="preserve">e non avrà <lb/>in primo luogo compreſa nell’ animo la varietà, <lb/>e l’ ordine, e la bellezza di tutte le coſe intellet-<lb/>tuali, che chiamanſi metafiſiche: </s>
  <s xml:id="echoid-s1827" xml:space="preserve">le quali alcuni <lb/>diſprezzano, avendole per inſuſſiſtenti, e vane; <lb/></s>
  <s xml:id="echoid-s1828" xml:space="preserve">ma ſe penſaſſero, niuna coſa preſentarſi giammai <lb/>all’ animo, ne più manifeſta, ne più ferma, et <lb/>immutabile delle forme univerſali ed aſtratte, e <lb/>niente eſſer prù certo che quei principj, e quelle <lb/>verità, che da eſſe a tutte le ſcienze derivano, <lb/>io non sò, perchè molto più ſtimar non doveſſero <lb/>quelle coſe, che eſſi chiamano inſuſſiſtenti e va-<lb/>ne, che non quelle, che eſſi chiamano vere e rea-<lb/>li. </s>
  <s xml:id="echoid-s1829" xml:space="preserve">E certo che la metafiſica ci aprì ella ſola da
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principio, e diſcoprì quella belliſſima e importan-<lb/>tiſſima diſciplina, che può dirſi il maggior dono, <lb/>che la natura abbia fatto agli uomini, voglio dir <lb/>la morale; </s>
  <s xml:id="echoid-s1830" xml:space="preserve">la qual ſe il filoſofo non ſaprà, ne a-<lb/>vrà cognizione delle virtù ne dei vizj, ne ſaprà <lb/>ragionare del fine dell’ uomo, ne della felicità, io <lb/>non ſo, che voglia egli farſi della ſua filoſofia. </s>
  <s xml:id="echoid-s1831" xml:space="preserve">E <lb/>quantunque la perfetta conoſcenza della morale <lb/>poſſa da ſe ſola inalzare il filoſofo ſopra gli altri <lb/>uomini, e farlo, per così dir, più che uomo, egli <lb/>non dovrà però eſſer privo ne della ſcienza eco-<lb/>nomica, ne della politica, e dovrà ſaper giudica-<lb/>re rettamente dei coſtumi, e delle uſanze tanto <lb/>domeſtiche, quanto pubbliche; </s>
  <s xml:id="echoid-s1832" xml:space="preserve">perchè dovrà eſſe-<lb/>re peritiſſimo eziandio della giuriſprudenza. </s>
  <s xml:id="echoid-s1833" xml:space="preserve">E <lb/>quanto a me, ſe io doveſſi formarlo a mio modo, <lb/>io vorrei che foſſe anche eloquente; </s>
  <s xml:id="echoid-s1834" xml:space="preserve">e ciò per due <lb/>ragioni, delle quali la prima ſi è, per poter ador-<lb/>nare le altre parti della filoſofia, et eſporle con <lb/>bel modo; </s>
  <s xml:id="echoid-s1835" xml:space="preserve">perchè ſebbene ſono ſtati molti filoſo-<lb/>fi, che hanno traſcurato ogni ornamento del dire; <lb/></s>
  <s xml:id="echoid-s1836" xml:space="preserve">io non credo però, che ne ſia ſtato alcuno mai tan-<lb/>to rozzo, che poteſſe la ſua rozzezza piacergli. </s>
  <s xml:id="echoid-s1837" xml:space="preserve">L’ <lb/>altra ragione ſi è, che io tengo, che l’ eloquenza <lb/>ſia una parte della filoſofia eſſa pure; </s>
  <s xml:id="echoid-s1838" xml:space="preserve">poichè ſe <lb/>credeſi comunemente, che alla filoſofia ſi appar-<lb/>tenga il ſapere, come ſi educhino le piante, e ſi <lb/>lavorino i metalli, per qual ragione non dovrà el-<lb/>la anche ſapere, come, e per quai mezzi ſi luſin-<lb/>ghino gli animi umani, e ſi eccitino, e ſi movano?</s>
  <s xml:id="echoid-s1839" xml:space="preserve">
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e per queſt’ iſteſſa ragione niente mi maraviglierei, <lb/>ſe quel perfettiſſimo filoſoſo, che noi andiamo o-<lb/>ra immaginando, voleſſe eſſere anche poeta. </s>
  <s xml:id="echoid-s1840" xml:space="preserve">E <lb/>certo avendo egli quella tanta cognizione, che <lb/>noi vogliamo, che abbia, di dialettica, di metafiſi-<lb/>ca, di morale, avrebbe un grande ajuto ad eſſe-<lb/>re un dottiſſimo poeta, e un’ oratore eloquentiſ-<lb/>ſimo. </s>
  <s xml:id="echoid-s1841" xml:space="preserve">E noi ſappiamo, che Cicerone, prezzando <lb/>poco i documenti della rettorica, uiuna coſa ſtimò <lb/>eſſergli ſtata tanto giovevole a divenire quel gran-<lb/>diſſimo oratore, che era, quanto lo ſtudio del-<lb/>le ſopraddette ſcienze; </s>
  <s xml:id="echoid-s1842" xml:space="preserve">et eſaminando una volta, <lb/>qual filoſofia foſſe a queſto fine più accomodata <lb/>dell’ altre, antepoſe a tutte quella dei Peripate-<lb/>tici, e degli Accademici; </s>
  <s xml:id="echoid-s1843" xml:space="preserve">et affermò, lui eſſe-<lb/>re uſcito così grande, com’ era, non già dal-<lb/>le officine dei rettori, ma dagli ſpazj dell’ <lb/>accademia. </s>
  <s xml:id="echoid-s1844" xml:space="preserve">La qual coſa conſiderando io tal-<lb/>volta meco ſteſso, e penſando, che quella <lb/>antica filoſofia partorì pure al mondo un così ec-<lb/>cellente, e così divino oratore, non sò compren-<lb/>dere, come molti ſe l’ abbiano per una filoſofia <lb/>inutile, e da ſprezzarſi. </s>
  <s xml:id="echoid-s1845" xml:space="preserve">Laſcio ſtare, che tanti al-<lb/>tri oratori, e poeti valoroſiſſimi, e ſommi uſci-<lb/>rono da quelle medeſime ſcuole. </s>
  <s xml:id="echoid-s1846" xml:space="preserve">Ma ritornando <lb/>al noſtro filoſofo, molto ancora gli mancherebbe, <lb/>ſe egli non poſſedeſſe perfettamente tutte le par-<lb/>ri della fiſica; </s>
  <s xml:id="echoid-s1847" xml:space="preserve">nella quale entrando, io vorrei, <lb/>che egli non ſolamente andaſſe dietro a quelle <lb/>coſe, che per li ſenſi ci ſi manifeſtano; </s>
  <s xml:id="echoid-s1848" xml:space="preserve">ma proce-
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deſſe oltre con l’ intelletto, e cercaſſe anche i <lb/>principj, e le cauſe, che ci ſi manifeſtano per <lb/>la ragione; </s>
  <s xml:id="echoid-s1849" xml:space="preserve">ſodisfaccendoſi di quella probabilità, <lb/>che hanno, giacchè all’ evidenza non poſſono <lb/>giungere, ne ritraendoſi da queſto ſtudio per pau-<lb/>ra, che quella opinione, che oggi par probabile, <lb/>poteſſe una volta trovarſi falſa. </s>
  <s xml:id="echoid-s1850" xml:space="preserve">Perciocchè il pre-<lb/>tendere, che ciò, che ſi dice, non debba potere, <lb/>eſſer falſo, è una pretenſione ſuperba, e conve-<lb/>niente piuttoſto a un Dio, che a un filoſofo; </s>
  <s xml:id="echoid-s1851" xml:space="preserve">e <lb/>quegl’ iſteſſi, che traſportati da una tal vanità, <lb/>per eſſere ſicuriſſimi di ciò, che affermano, pro-<lb/>feſſano di non volere attenerſi ſe non alle eſpe-<lb/>rienze, e alle oſſervazioni; </s>
  <s xml:id="echoid-s1852" xml:space="preserve">volendo poi ridurre i <lb/>ritrovamenti loro a leggi univerſali e coſtanti, che <lb/>debban valere in tutte le coſe, eziandio in quelle, <lb/>che non hanno mai oſſervate, cadono anch’ eſſi nel <lb/>pericolo della probabilità; </s>
  <s xml:id="echoid-s1853" xml:space="preserve">la qual probabilità ſe <lb/>non voleſſe ſeguirſi per paura di errare, non po-<lb/>trebbono più ne i medici curar gl’ infermi, ne i <lb/>giudici diffinire le cauſe; </s>
  <s xml:id="echoid-s1854" xml:space="preserve">e ſi leverebbe del mon-<lb/>do ogni regola di buon governo. </s>
  <s xml:id="echoid-s1855" xml:space="preserve">Io vorrei dun-<lb/>que, che il filoſofo ſapeſſe tutti i ſiſtemi, alme-<lb/>no i più illuſtri, per ſeguir quelli, che foſſer pro-<lb/>babili, ſe alcun tale ne ritrovaſſe, e rigettar quel-<lb/>li, che non foſſero; </s>
  <s xml:id="echoid-s1856" xml:space="preserve">i quali però ſaper ſi debbo-<lb/>no, benchè ſi vogliano rigettare; </s>
  <s xml:id="echoid-s1857" xml:space="preserve">anzi rigettar <lb/>non ſi dovrebbono ſenza ſaperli; </s>
  <s xml:id="echoid-s1858" xml:space="preserve">che è coſa da <lb/>uom leggero rigettar quello, che non ſi ſa. </s>
  <s xml:id="echoid-s1859" xml:space="preserve">E <lb/>già la fiſica ſteſſa, moſtrandogli i ſuoi ſiſtemi et
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inſtruendolo delle ſue eſperienze et oſſervazioni, <lb/>e manifeſtandogli le ſue leggi, non è da dubita-<lb/>re, che non gli apriſſe anche la chimica, la me-<lb/>dicina, la notomia, e nol conduceſſe ne vaſti cam-<lb/>pi di tutta l’ iſtoria naturale. </s>
  <s xml:id="echoid-s1860" xml:space="preserve">La qual fiſica vor-<lb/>rebbe però ſempre aver ſeco la geometria, e l’ <lb/>algebra, con le quali ſpeſſiſſime volte viene a de-<lb/>liberazione, e ſi conſiglia; </s>
  <s xml:id="echoid-s1861" xml:space="preserve">e ſono eſſe tuttavia per <lb/>ſe medeſime belliſſime ſcienze, e nobiliſſime, et <lb/>oltre a ciò amiciſſime della metafiſica, da cui cre-<lb/>dono eſſer nate; </s>
  <s xml:id="echoid-s1862" xml:space="preserve">così che io eſorterei il filoſoſo <lb/>ad aſſumerle anche per lor medeſime; </s>
  <s xml:id="echoid-s1863" xml:space="preserve">perchè aſ-<lb/>ſumendole ſolo in grazia della fiſica potrebbono, <lb/>e giuſtamente, averſelo a male. </s>
  <s xml:id="echoid-s1864" xml:space="preserve">E queſte poi lo <lb/>introdurrebbono alla meccanica, all’ optica, all’ <lb/>aſtronomia, delle quali diſcipline dovrebbe il fi-<lb/>loſofo eſsere peritiſſimo. </s>
  <s xml:id="echoid-s1865" xml:space="preserve">Parrà forſe ad alcuni, <lb/>che io ſia faſtidioſo, e poco diſcreto, volendo <lb/>imporre al filoſofo tanto peſo di ſtudj, e di co-<lb/>gnizioni, che non è perſona al mondo, che por-<lb/>tar lo poteſse. </s>
  <s xml:id="echoid-s1866" xml:space="preserve">Ma ſe eglino penſeranno, che io <lb/>non lo impongo a loro, ne a veruno di quelli, <lb/>che eſſi conoſcono, ma ad un filoſofo, che vor-<lb/>remmo immaginarci, e fingere, e che dovendo <lb/>ſuperar tutti gli altri nella virtù, e nel ſapere, <lb/>vogliamo ancora, che gli ſuperi nella memoria e <lb/>nell’ ingegno, credo, che facilmente mi perdone-<lb/>ranno; </s>
  <s xml:id="echoid-s1867" xml:space="preserve">et anche mi ſcuſeranno, ſe io vorrò, che <lb/>ſapendo eglitutte le ſcienze, che abbiamo dette, <lb/>e molte altre, ſappia ancora l’ iſtoria loro, e co-
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me nacquero tra gli uomini, e crebbero, e paſ-<lb/>ſarono in varj tempi a varie nazioni, e con qua-<lb/>li ajuti, e per quai mezzi a tanta autorità, e glo-<lb/>ria s’ innalzarono; </s>
  <s xml:id="echoid-s1868" xml:space="preserve">che oltrechè è conveniente a <lb/>qualunque profeſſore il ſapere gli avvenimenti <lb/>dell’ arte ſua; </s>
  <s xml:id="echoid-s1869" xml:space="preserve">queſto ſingolarmente è proprio del-<lb/>la filoſofia; </s>
  <s xml:id="echoid-s1870" xml:space="preserve">perciocchè l’ iſtoria dell’ altre ſcien-<lb/>ze non è una parte di eſſe, ne è parte della retto-<lb/>rica l’ iſtoria della rettorica, ne della dialettica l’ <lb/>iſtoria della dialettica; </s>
  <s xml:id="echoid-s1871" xml:space="preserve">ma l’ iſtoria della filoſofia, <lb/>che tutte le altre comprende, ſembra eſſere una <lb/>parte della filoſofia ſteſſa. </s>
  <s xml:id="echoid-s1872" xml:space="preserve">Imperocchè ſe i filoſo-<lb/>fi conſiderano con tanta attenzione gli altri ani-<lb/>mali, e notano diligentemente e raccolgono le <lb/>loro azioni, e tutte le loro induſtrie, e queſta <lb/>iſtoria pongono tra le parti della loro ſcienza; </s>
  <s xml:id="echoid-s1873" xml:space="preserve">io <lb/>non sò, perchè non debbano porvi anche l’ iſtoria <lb/>degli ſcienziati, e di lor medeſimi; </s>
  <s xml:id="echoid-s1874" xml:space="preserve">tanto più, che <lb/>ſo no eſſi più nobili degli altri animali, eſſendo do-<lb/>tati di ragione, et avendola più anche degli al-<lb/>tri uomini coltivata. </s>
  <s xml:id="echoid-s1875" xml:space="preserve">Ma laſciamo ormai di rac-<lb/>cogliere tutte le infinite qualità, e doti, che a <lb/>quel filoſofo, che noi vorremmo veder deſcritto, <lb/>eccellentiſſimo, e ſommo ſi richiedercbbono; </s>
  <s xml:id="echoid-s1876" xml:space="preserve">ac <lb/>ciocchè non paja ch’io voglia formarlo io, e pre-<lb/>ſuma far quello, che ho detto non eſſere fino ad <lb/>ora ſtato fatto da niuno a cagione della grandiſſi-<lb/>ma difficoltà. </s>
  <s xml:id="echoid-s1877" xml:space="preserve">Sebbene io credo, che anche un’ al-<lb/>tra ragione abbia diſtolto gli uomini dal farlo, e <lb/>queſta è, perchè ne potrebbe farlo chi non foſſe fi-
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loſofo, ne chi foſſe, facilmente vorrebbe; </s>
  <s xml:id="echoid-s1878" xml:space="preserve">eſsendo la <lb/>forma del filoſofo perfettiſſimo una coſa tanto <lb/>grande, e magnifica, e divina, che non è alcuno <lb/>così dotto in filoſofia, il qual mirando in quella im-<lb/>magine non ſi doveſſe vergognare di ſe medeſimo. <lb/></s>
  <s xml:id="echoid-s1879" xml:space="preserve">E ſe Cicerone non isfuggì di proporre agli uomi-<lb/>ni il perfetto oratore; </s>
  <s xml:id="echoid-s1880" xml:space="preserve">ciò forſe fece, perchè potea <lb/>credere di non eſſere a quello molto inferiore; </s>
  <s xml:id="echoid-s1881" xml:space="preserve">e <lb/>noi ſappiamo, che al Caſtiglione poco o nulla <lb/>mancò ad eſſere quel perfettiſſimo cortegiano, che <lb/>egli avea deſcritto. </s>
  <s xml:id="echoid-s1882" xml:space="preserve">Ma chi è, che veduta una <lb/>volta la forma di un filoſofo eccellentiſſimo e <lb/>ſommo, non s’ avvedeſſe di eſſerne infinitamente <lb/>lontano? </s>
  <s xml:id="echoid-s1883" xml:space="preserve">Quindi è, che molti ricuſano di vederla, <lb/>ne voglion cercarla per non trovare le lor man-<lb/>canze; </s>
  <s xml:id="echoid-s1884" xml:space="preserve">e volendo pur luſingarſ<unsure/>i di eſſere compi-<lb/>tamente filoſofi, reſtringono la filoſofia dentro a <lb/>quei limiti, dentro cui ſentono eſſer riſtretta la <lb/>cognizion loro. </s>
  <s xml:id="echoid-s1885" xml:space="preserve">E quindi è, che troveremo mol-<lb/>ti, i<unsure/> quali, non avendo toccato mai ne la dialetti-<lb/>ca, ne la metafiſica, ne la morale, pur perchè <lb/>hanno apparato alcuni luoghi della fiſica, credono <lb/>aver veduta la filoſofia, tenendo per nulla tutto <lb/>il reſtante; </s>
  <s xml:id="echoid-s1886" xml:space="preserve">e molti eſperimentatori, che ſarebbono <lb/>per altro degni di ſingolar laude, ſono oggimai <lb/>venuti in tanto orgoglio, che vogliono tutto eſ-<lb/>ſer poſto nelle eſperienze; </s>
  <s xml:id="echoid-s1887" xml:space="preserve">e gridano, la filoſofia <lb/>dover trattarſi con le mani; </s>
  <s xml:id="echoid-s1888" xml:space="preserve">indarno volerviſi u-<lb/>ſar la ragione; </s>
  <s xml:id="echoid-s1889" xml:space="preserve">e non volendo uſarla, ben mo-<lb/>ſtrano di non averla. </s>
  <s xml:id="echoid-s1890" xml:space="preserve">Gli antichi in queſta parte
<pb o="135" file="0159" n="159" rhead="LIBRO II."/>
inteſero a mio giudizio più che i noſtri; </s>
  <s xml:id="echoid-s1891" xml:space="preserve">percioc-<lb/>chè abbracciarono tutte le parti della filoſofia, e <lb/>le ſtimarono tutte grandemente; </s>
  <s xml:id="echoid-s1892" xml:space="preserve">e ſe in alcune <lb/>non ſeppero molto innanzi, cercaron però di ſa-<lb/>perne quanto a quei tempi poteaſi, e in alcune <lb/>altre furono tanto eccellenti, che levarono a i po-<lb/>ſteri la ſperanza di uguagliarli: </s>
  <s xml:id="echoid-s1893" xml:space="preserve">come Platone et <lb/>Ariſtotile, che furono maraviglioſi non ſolamen-<lb/>te nella metafiſica, e nella morale, ma anche <lb/>nella dialettica, la quale ebbe tanto accreſcimento <lb/>da Ariſtotele, che parve eſſere da lui nata; </s>
  <s xml:id="echoid-s1894" xml:space="preserve">et ol-<lb/>tre a ciò poſero molto ſtudio nella fiſica, e molto <lb/>ſeppero, ſecondo quei tempi, della naturale iſto-<lb/>ria; </s>
  <s xml:id="echoid-s1895" xml:space="preserve">ne mancò loro la geometria, ne l’ aritmeti-<lb/>ca, e furono intendentiſſimi di muſica, e di poe-<lb/>ſia, della quale Ariſtotile fu gran maeſtro; </s>
  <s xml:id="echoid-s1896" xml:space="preserve">e <lb/>parvero eloquentiſſimi a Cicerone. </s>
  <s xml:id="echoid-s1897" xml:space="preserve">E veramente <lb/>io credo, che quegli antichi aveſſero un gran <lb/>vantaggio ſopra dinoi; </s>
  <s xml:id="echoid-s1898" xml:space="preserve">perchè eſſendo quaſi o-<lb/>gnuna di quelle ſcienze, che la filoſofia abbrac-<lb/>cia e contiene, tanro più breve e più angu-<lb/>ſta a loro tempi, che a i noſtri, fu ad eſſi <lb/>più comodo l’ appararne molte, che a noi non <lb/>ſarebbe ſtudiarne una ſola. </s>
  <s xml:id="echoid-s1899" xml:space="preserve">Ne io mi ſdegno già <lb/>contra coloro, i quali rapiti da una parte ſola del-<lb/>la filoſofia, ſi allontanano dalle altre; </s>
  <s xml:id="echoid-s1900" xml:space="preserve">vorrei be-<lb/>ne, che apprezzaſſero ancor quelle, da cui ſi al-<lb/>lontanano, e ſtimaſſero appartenere alla filoſofia <lb/>anche ciò, che eſſi non ſanno. </s>
  <s xml:id="echoid-s1901" xml:space="preserve">Il che non volen-<lb/>do eſſi fare, mi levano la ſperanza di veder de-
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ſcritta mai da alcun di loro e formata quella bel-<lb/>la immagine del filoſofo perfettiſſimo, che io tan-<lb/>to deſidero. </s>
  <s xml:id="echoid-s1902" xml:space="preserve">La quale chi pur voleſse oggi vede-<lb/>re in qualche modo adombrata, non veggo qual <lb/>altra via tener poteſse, ſe non farlaſi egli da ſe <lb/>nell’ animo, riguardando molti e varj eccellenti <lb/>filoſofi, e raccogliendo in uno le qualità e co-<lb/>gnizioni di tutti, con che verrebbe in qualche <lb/>modo formando quel perfettiſſimo che deſideria-<lb/>mo: </s>
  <s xml:id="echoid-s1903" xml:space="preserve">come ſi legge di Zeuſi, che raccogliendo in-<lb/>ſieme tutte le grazie di molte fanciulle Calabreſi, <lb/>formò quella rara, e ſingolar bellezza, che ſtimò <lb/>poi eſser degna di Elena. </s>
  <s xml:id="echoid-s1904" xml:space="preserve">E certo chi metteſse inſie-<lb/>me tutte le eccellenze e tutte le perfezioni di Car te-<lb/>ſio e di Leibnizio, aggiungendo loro le rare, <lb/>e maraviglioſe cognizioni di Neuton, dopo cui <lb/>pare, che il mondo non aſpetti più altro; </s>
  <s xml:id="echoid-s1905" xml:space="preserve">con que-<lb/>ſti tre ſoli uomini formar ſi potrebbe un filo-<lb/>ſofo, a cui non molto mancaſse. </s>
  <s xml:id="echoid-s1906" xml:space="preserve">E per laſciare i <lb/>trapaſsati, quando io penſo a quella oneſta <lb/>e nobile compagnia, nella quale io fui accolto <lb/>in Napoli, ſiccome parmi, che quella ſorpaſsaſse <lb/>tutte le altre compagnie del mondo in giocon-<lb/>dità, in corteſia, in valore, così tengo per fer-<lb/>miſſimo, che, ſe i pregi e le perfezioni di tutti <lb/>quelli, che la componeano, ſi foſsero raccolti in <lb/>uno, ſi ſarebbe fatto un filoſofo da potere para-<lb/>gonarſi al perfettiſſimo. </s>
  <s xml:id="echoid-s1907" xml:space="preserve">Perciocchè ne al Signor <lb/>D. </s>
  <s xml:id="echoid-s1908" xml:space="preserve">Serao mancava una ſomma perizia di medici-<lb/>na, ne di anatomìa, ne d’ iſtoria naturale, ne di
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qualſiſia altra parte della fifica, a cui aggiungeva <lb/>la geometria e la meccanica, et una incredibile <lb/>eloquenza. </s>
  <s xml:id="echoid-s1909" xml:space="preserve">Il Signor D. </s>
  <s xml:id="echoid-s1910" xml:space="preserve">Niccola di Martino non <lb/>laſciava deſiderar nulla di tutto ciò, che alle ma-<lb/>tematiche ſcienze appartiene; </s>
  <s xml:id="echoid-s1911" xml:space="preserve">nelle quali eſſendo <lb/>così eccellente, non è da domandare, ſe egli ſoſ-<lb/>ſe maeſtro grandiſſimo in ſiſica; </s>
  <s xml:id="echoid-s1912" xml:space="preserve">era anche puro, e <lb/>ſemplice, e chiaro nel dire, e tanto egli, quanto <lb/>il Signor D. </s>
  <s xml:id="echoid-s1913" xml:space="preserve">Serao erano nella metaſiſica e nella <lb/>dialettica non mediocremente verſati. </s>
  <s xml:id="echoid-s1914" xml:space="preserve">La Signora <lb/>Principeſſa condiva tutte queſte ſcienze, che ot-<lb/>timamente intendeva, di tanta ſoavità e grazia, e <lb/>così fattamente le abbelliva, che non parean quaſi <lb/>belle ſe non per lei ſola. </s>
  <s xml:id="echoid-s1915" xml:space="preserve">Il Signor Marcheſe di <lb/>Campo Hermoſo, ſuperando già l’ età ſua, fa-<lb/>cea ſperar di ſe ſteſſo ogni coſa. </s>
  <s xml:id="echoid-s1916" xml:space="preserve">Et io vi direi an-<lb/>che più, e maggiori lodi di quella onoratiſſima, <lb/>e nobiliſſima compagnia, ſe voi, Signor Giambati-<lb/>ſta cariſſimo, vi foſte ſtato preſente, e l’ aveſte <lb/>veduta con gli occhi voſtri; </s>
  <s xml:id="echoid-s1917" xml:space="preserve">che così non temerei, <lb/>che vi poteſſer parere più grandi del vero ne ſo-<lb/>verchiamente eſagerate. </s>
  <s xml:id="echoid-s1918" xml:space="preserve">Sebbene, eſſendovi voi <lb/>ſtato preſente, troppo più avrei da dirne, doven-<lb/>do dire anche di voi. </s>
  <s xml:id="echoid-s1919" xml:space="preserve">Ma vegniamo oramai al pro-<lb/>poſito noſtro, dal quale io temo di eſſermi per <lb/>troppo lungo ſpazio allontanato. </s>
  <s xml:id="echoid-s1920" xml:space="preserve">Venuta l’ ora <lb/>del veſpro, et avendo la Signora Principeſſa fatto <lb/>ſignificare, che ella era diſpoſta di uſcire, io e il <lb/>Signor D. </s>
  <s xml:id="echoid-s1921" xml:space="preserve">Franceſco Serao fummo toſto alle ſue <lb/>ſtanze, dove poco appreſſo vennero anche il Signor
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Marcheſe di Campo Hermoſo, e il Signor D. </s>
  <s xml:id="echoid-s1922" xml:space="preserve">Ni-<lb/>cola di Martino, il quale avendo, come tutti gli <lb/>altri fecero, ſalutata con molta riverenza la Si-<lb/>gnora Principeſſa, cavò fuori un libro, dicendo: <lb/></s>
  <s xml:id="echoid-s1923" xml:space="preserve">ecco, Signora, il libro, che voi deſiderate, che io ho <lb/>tratto dalla biblioteca del Signor Governatore, <lb/>dove era con alcuni altri di matematica. </s>
  <s xml:id="echoid-s1924" xml:space="preserve">Qual li-<lb/>bro? </s>
  <s xml:id="echoid-s1925" xml:space="preserve">diſſe la Signora Principeſſa. </s>
  <s xml:id="echoid-s1926" xml:space="preserve">Quello, riſpoſe <lb/>il Signor D. </s>
  <s xml:id="echoid-s1927" xml:space="preserve">Niccola, del Padre Riccati, che io <lb/>ſtimo aſſai, benchè al noſtro Signor Zanotti for-<lb/>ſe non piaccia. </s>
  <s xml:id="echoid-s1928" xml:space="preserve">Perchè, diſs’ io, non dovrebbe <lb/>piacermi? </s>
  <s xml:id="echoid-s1929" xml:space="preserve">che io lo ſtimo forſe più ancora, che voi <lb/>non fate; </s>
  <s xml:id="echoid-s1930" xml:space="preserve">perchè voi lo ſtimate moltiſſimo, cre-<lb/>dendo vere le opinioni, ch’ egli propone, et io, <lb/>lo ſtimo ancor non credendole. </s>
  <s xml:id="echoid-s1931" xml:space="preserve">Io non ho ancor <lb/>detto, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s1932" xml:space="preserve">Niccola, che le opinio-<lb/>ni del Padre Riccati Rieno vere; </s>
  <s xml:id="echoid-s1933" xml:space="preserve">e ſono anche <lb/>in tempo di ſtimarlo così come lo ſtimate <lb/>voi. </s>
  <s xml:id="echoid-s1934" xml:space="preserve">Ma a voi ſta intanto di ſciogliere le obbiezio-<lb/>ni, che queſta mattina vi ſono ſtate propoſte. </s>
  <s xml:id="echoid-s1935" xml:space="preserve">Men-<lb/>tre così tra noi ſi ragionava, la Signora Principeſ-<lb/>ſa, che avea già preſo il libro in mano, e ſcorſo-<lb/>ne in fretta alcuni capi, rivolta al Signor D. </s>
  <s xml:id="echoid-s1936" xml:space="preserve">Ni-<lb/>cola gliel rendè, e diſſe: </s>
  <s xml:id="echoid-s1937" xml:space="preserve">recheretelo voſco in bar-<lb/>ca; </s>
  <s xml:id="echoid-s1938" xml:space="preserve">perchè io voglio, ſe a voi altri piace, che noi <lb/>oggi facciamo un piccol giro in mare, avendo per-<lb/>ciò il Signor Governatore, come egli ſteſſo mi ha <lb/>detto, fatto apparecchiare un naviglio, nel quale <lb/>noi potremo comodiſſimamente ſeguire il ragiona. </s>
  <s xml:id="echoid-s1939" xml:space="preserve"><lb/>mento incominciato ſopra gli elaſtri, e dir quel-
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lo, che reſta intorno alla quiſtione della forza vi-<lb/>va. </s>
  <s xml:id="echoid-s1940" xml:space="preserve">Tutti condiſceſero volentieri al deſiderio del-<lb/>la Signora Principeſſa, et io più che gli altri, a-<lb/>vendo già cominciato a piacermi il mare. </s>
  <s xml:id="echoid-s1941" xml:space="preserve">Perchè <lb/>uſcimmo tutti allegramente, e giunti a riva, tro-<lb/>vammo quivi un picciol legno, il più leggero, e <lb/>il più vago del mondo; </s>
  <s xml:id="echoid-s1942" xml:space="preserve">che oltre l’ eſſere forni-<lb/>to d’ albero e di vela e di remi, era anche di pit-<lb/>ture e di rilievi al di fuori leggiadramente orna-<lb/>to, e dentro d’ ori e di ſete e di drappi guarnito, <lb/>che non potea vederſi più bella coſa. </s>
  <s xml:id="echoid-s1943" xml:space="preserve">Non era <lb/>quaſi mare, traendo allora un venticello ſoaviſſi-<lb/>mo; </s>
  <s xml:id="echoid-s1944" xml:space="preserve">perchè entrati ſubito in nave, e fatto vela, <lb/>ci allargammo alquanto nel ſeno, laſciando ad-<lb/>dietro Napoli, e ſcoprendo dall’ altra parte l’ im-<lb/>menſa vaitità del mare, che era belliſſimo a ve-<lb/>dere per la gran frequenza delle barche, le quali <lb/>parte andavano a Baja e venivano per ſervigi del-<lb/>la Corte, che vi ſi aſpettava il dì vegnente; </s>
  <s xml:id="echoid-s1945" xml:space="preserve">e <lb/>parte correvano a lor ſollazzo, avendo ſopra bel-<lb/>liffime compagnie d’ uomini e di donne, che fa-<lb/>cevano di tanto in tanto riſonar l’ aria d’ una gra-<lb/>ta armonia colle trombe, e gli oboè. </s>
  <s xml:id="echoid-s1946" xml:space="preserve">Il ſole, <lb/>che era aſſai alto, le percoteva co’ lucidiſſimi ſuoi <lb/>raggi, e le rendeva ancor più vaghe. </s>
  <s xml:id="echoid-s1947" xml:space="preserve">Le quali co-<lb/>ſe mirando io più attentamente degli altri, come <lb/>quello, che men degli altri era avvezzo di vederle, <lb/>e’ mi par, diſſi, che queſte barche, e queſte rive <lb/>e queſta ampiezza del mare ſieno tanto belle, che <lb/>ſi faccia lor torto volendo rivolgere il penſiero ad
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altro; </s>
  <s xml:id="echoid-s1948" xml:space="preserve">e, non ſo come, parmi, che le iſteſſe Nereidi <lb/>ſe ne offenderebbono. </s>
  <s xml:id="echoid-s1949" xml:space="preserve">Credetemi però, diſſe allo-<lb/>ra la Signora Principeſſa, che non ſi avranno a <lb/>male, ſe noi ritorneremo col penſiero agli elaſtri; <lb/></s>
  <s xml:id="echoid-s1950" xml:space="preserve">de’ quali, come avrete ſaziato la viſta di queſti al-<lb/>tri oggetti, diſponetevi pure di ragionare: </s>
  <s xml:id="echoid-s1951" xml:space="preserve">io mi <lb/>vi fo mallevadrice per le Nereidi. </s>
  <s xml:id="echoid-s1952" xml:space="preserve">Signora, riſpo-<lb/>fi, io ve ne ho detto queſta mattina tutto quello, <lb/>che io ne ſo. </s>
  <s xml:id="echoid-s1953" xml:space="preserve">Si, diſſe la Signora Principeſſa; </s>
  <s xml:id="echoid-s1954" xml:space="preserve">ma <lb/>egli vi reſta ancora di ſciogliere tutte le diſſicoltà, <lb/>che queſti Signori vi hanno propoſte. </s>
  <s xml:id="echoid-s1955" xml:space="preserve">Ma eſſi, ri-<lb/>ſpoſi io allora, non hanno fatto altro, che propor-<lb/>le; </s>
  <s xml:id="echoid-s1956" xml:space="preserve">niente hanno provato; </s>
  <s xml:id="echoid-s1957" xml:space="preserve">di che io poſſo ſpedir-<lb/>mi da tutte breviſſimamente ſol col negarle; </s>
  <s xml:id="echoid-s1958" xml:space="preserve">e co-<lb/>sì riſpondendo, me ne viene anche un altro como-<lb/>do, ed’ è, che non accade, ch’ io faccia la fatica di <lb/>ricordarmele. </s>
  <s xml:id="echoid-s1959" xml:space="preserve">Oh queſta fatica la faremo ben noi, <lb/>diſse allora la Signora Principeſsa; </s>
  <s xml:id="echoid-s1960" xml:space="preserve">e ſe queſti Si-<lb/>gnori vorranno, come debbono, ſoſtenere le pro-<lb/>poſizioni loro, e provarle; </s>
  <s xml:id="echoid-s1961" xml:space="preserve">non ſo poi, ſe vi ſpe-<lb/>direte con tanta brevità. </s>
  <s xml:id="echoid-s1962" xml:space="preserve">E qui tratto fuori il fo-<lb/>glio, in cui erano le figure, che avevamo la mat-<lb/>tina deſcritte (il che ſimilmente fecero tutti gli al-<lb/>tri) parmi, diſse, guardando alla figura ſeconda, <lb/>che il Signor D. </s>
  <s xml:id="echoid-s1963" xml:space="preserve">Nicola abbia in primo luogo op-<lb/>poſto, che le due ſerie EN, AC nel loro primo <lb/>aprirſi dieno ai due globi N, e C lo ſteſso impul-<lb/>ſo, e la ſteſsa velocità. </s>
  <s xml:id="echoid-s1964" xml:space="preserve">Non è egli così? </s>
  <s xml:id="echoid-s1965" xml:space="preserve">Così è ve-<lb/>ramente, diſse allora il Signor D. </s>
  <s xml:id="echoid-s1966" xml:space="preserve">Niccola; </s>
  <s xml:id="echoid-s1967" xml:space="preserve">la do-<lb/>ve egli voleva, che l’ uno impulſo foſse quadruplo
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dell’ altro, e produceſse velocità quadrupla. </s>
  <s xml:id="echoid-s1968" xml:space="preserve">Et <lb/>ho anche aggiunto, non piacermi quella ſuppoſi-<lb/>zione, ch’ egli facea; </s>
  <s xml:id="echoid-s1969" xml:space="preserve">cioè che gl’ impulſi delle <lb/>ſerie ſieno iſtantanei, e diſgiunti l’ uno dall’ altro <lb/>per certi piccoliſſimi intervalli; </s>
  <s xml:id="echoid-s1970" xml:space="preserve">levata la qual ſup-<lb/>poſizione come potrà egli ſoſtenere, che la velcci-<lb/>tà del globo N giunto in <emph style="it">r</emph> debba eſser quadrupla <lb/>della velocità del globo C giunto in <emph style="it">m</emph>? </s>
  <s xml:id="echoid-s1971" xml:space="preserve">che an-<lb/>zi io dimoſtrerò eſſer doppia. </s>
  <s xml:id="echoid-s1972" xml:space="preserve">E ciò vuol dimo-<lb/>ſtrarſi, ripigliai io, in maniera, che ſi intenda eſ-<lb/>ſere neceſſaria agli elaſtri la forza viva di Leibnizio. <lb/></s>
  <s xml:id="echoid-s1973" xml:space="preserve">Chi non ſa, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s1974" xml:space="preserve">Serao, tutti i <lb/>noſtri ragionamenti eſſer rivolti a queſto? </s>
  <s xml:id="echoid-s1975" xml:space="preserve">E a que-<lb/>ſto pure è rivolta quell’ altra difficoltà, che io ho <lb/>moſſo, tratta da quella ſerie, che propoſe Ber-<lb/>nulli negli atti di Lipſia, la quale allargandoſi <lb/>da amendue le parti ſpinge e caccia due globi di-<lb/>ſeguali. </s>
  <s xml:id="echoid-s1976" xml:space="preserve">Per proceder dunque con qualche or-<lb/>dine, diſſe allora la Signora Prnicipeſſa, io <lb/>voglio, che il Signor D. </s>
  <s xml:id="echoid-s1977" xml:space="preserve">Niccola eſponga prima, <lb/>e provi la ſua difficoltà; </s>
  <s xml:id="echoid-s1978" xml:space="preserve">poi verremo a quella del <lb/>Signor D. </s>
  <s xml:id="echoid-s1979" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s1980" xml:space="preserve">diremo appreſſo qualche coſa <lb/>delle leggi del moto; </s>
  <s xml:id="echoid-s1981" xml:space="preserve">giacchè anche di queſte è <lb/>ſtato propoſto di dover dire. </s>
  <s xml:id="echoid-s1982" xml:space="preserve">E’ ſtato anche pro-<lb/>poſto, ripigliai io, non ſo che intorno al prin-<lb/>cipio della ſemplicità. </s>
  <s xml:id="echoid-s1983" xml:space="preserve">Oh di queſto, diſſe la Si-<lb/>gnora Principeſſa, non voglio io, che più ſi ra-<lb/>gioni; </s>
  <s xml:id="echoid-s1984" xml:space="preserve">perchè voi vi ſiete oſtinato in quella vo-<lb/>ſtra opinione; </s>
  <s xml:id="echoid-s1985" xml:space="preserve">e mai non ſe ne verrebbe a capo. </s>
  <s xml:id="echoid-s1986" xml:space="preserve"><lb/>Certo che nò, riſpoſi; </s>
  <s xml:id="echoid-s1987" xml:space="preserve">perchè anche il Signor D.</s>
  <s xml:id="echoid-s1988" xml:space="preserve">
<pb o="142" file="0166" n="166" rhead="Della forza de’ corpi"/>
Serao s’ è oſtinato nella ſua. </s>
  <s xml:id="echoid-s1989" xml:space="preserve">Di che riſe la Si-<lb/>gnora Principeſſa, indi volgendoſi al Signor D. <lb/></s>
  <s xml:id="echoid-s1990" xml:space="preserve">Niccola, or cominciate voi, diſse. </s>
  <s xml:id="echoid-s1991" xml:space="preserve">Allora il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s1992" xml:space="preserve">Niccola eſsendo ſopraſtato alquanto, a <lb/>me rivolto così cominciò. </s>
  <s xml:id="echoid-s1993" xml:space="preserve">Io non hò da propor-<lb/>vi coſa, che voi già non ſappiate; </s>
  <s xml:id="echoid-s1994" xml:space="preserve">ne altro dirò <lb/>poſe Giovanni Bernulli in quella belliſſima ſcrit-<lb/>tura, che ci laſciò ſopra le leggi della comuni-<lb/>cazione del moto; </s>
  <s xml:id="echoid-s1995" xml:space="preserve">e cercherò di ſvolgerlo da quel-<lb/>le curve, e da quei calcoli, di cui volle l’ uo-<lb/>mo ingegnoſiſſi@o coprirlo et adornarlo, accioc-<lb/>chè, ſe non la vaghezza, e la leggiadria della di-<lb/>moſtrazione, ne ſentiate però la forza. </s>
  <s xml:id="echoid-s1996" xml:space="preserve">E per co-<lb/>minciar d’ alto, e non laſciar’ a dietro coſa al-<lb/>cuna di ciò, che è neceſsario alla dimoſtrazione; </s>
  <s xml:id="echoid-s1997" xml:space="preserve"><lb/>dico in primo luogo, che eſsendo lo ſpazietto <lb/>N<emph style="it">r</emph>, come voi ſteſso avete preſuppoſto, infinita-<lb/>mente piccolo, la preſſione della ſerie EN ſarà in <lb/>tutto queſto ſpazietto ſempre la medeſima: </s>
  <s xml:id="echoid-s1998" xml:space="preserve">il che <lb/>è pur chiaro, perciocchè la preſſione tanto viene <lb/>a fminuirſi, quanto la ſerie viene ad allargarſi; </s>
  <s xml:id="echoid-s1999" xml:space="preserve"><lb/>allargandoſi dunque la ſerie infinitamente poco <lb/>con lo ſtenderſi da N fino in <emph style="it">r</emph>, ne ſegue, che la <lb/>preſſione venga infinitamente poco a ſminuirſi, e <lb/>però poſsa averſi come ſe per tutto quello ſpaziet-<lb/>to foſse ſempre la medeſima. </s>
  <s xml:id="echoid-s2000" xml:space="preserve">Ben’ è vero, che paſ-<lb/>ſando dallo ſpazietto N<emph style="it">r</emph> all’ <emph style="it">rs</emph>, e dallo <emph style="it">rs</emph> allo <emph style="it">st</emph>, <lb/>e così agli altri infiniti fino in O, biſognerà te-<lb/>ner conto di quello ſminuimento infinitamente
<pb o="143" file="0167" n="167" rhead="Libro II."/>
piccolo, che ſi fa in ognuno, acciocchè traſcuran-<lb/>dogli tutti non veniſse a traſcurarſi una ſomma <lb/>aſsegnabile, e troppo più grande, che non con-<lb/>viene. </s>
  <s xml:id="echoid-s2001" xml:space="preserve">Seguendo dunque una licenza conceduta <lb/>da i matematici, e non abborrita da i fiſici, noi <lb/>penſeremo, che la preſſione della ſerie EN ſia ſem-<lb/>pre quella ſteſsa per tutto lo ſpazietto N<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s2002" xml:space="preserve">in <emph style="it">r</emph> <lb/>poi ſi diminuiſca alcun poco, e dopo tale dimi-<lb/>nuzione duri la ſteſsa fino in <emph style="it">s</emph>, e così di mano <lb/>in mano. </s>
  <s xml:id="echoid-s2003" xml:space="preserve">E lo ſteſso vuol dirſi della ſerie AC, che <lb/>eſsendo gli ſpazietti C<emph style="it">m</emph>, <emph style="it">mn</emph>, <emph style="it">no</emph> infinitamente pic-<lb/>coli, dovrà crederſi, che la preſſione ſegua ad eſ-<lb/>ſere la medeſima per tutto C<emph style="it">m</emph>; </s>
  <s xml:id="echoid-s2004" xml:space="preserve">in <emph style="it">m</emph> poi ſoffra <lb/>una diminuzione infinitamente piccola, dopo la <lb/>quale ſi conſervi ſempre la medeſima fino in <emph style="it">n</emph>; </s>
  <s xml:id="echoid-s2005" xml:space="preserve">e <lb/>così le intervenga in tutti gli altri infiniti ſpaziet-<lb/>ti fino in D. </s>
  <s xml:id="echoid-s2006" xml:space="preserve">Poſte queſte coſe, le quali dovrete <lb/>concedermi, ſe già non volete far guerra a tutto <lb/>il mondo, egli mi ſarà facile di dimoſtrarvi, che <lb/>la velocità, che avrà il globo N giunto in <emph style="it">r</emph>, ſa-<lb/>rà doppia di quella, che avrà il globo C giunto <lb/>in <emph style="it">m;</emph></s>
  <s xml:id="echoid-s2007" xml:space="preserve">così veramente, che gli ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph> ſi <lb/>ſuppongano tali, quali gli avete ſuppoſti voi pu-<lb/>re, cioè l’ uno quadruplo dell’ altro. </s>
  <s xml:id="echoid-s2008" xml:space="preserve">Senza par-<lb/>tir così d’ alto, diſſi io allora, voi potevate co-<lb/>minciar di qui; </s>
  <s xml:id="echoid-s2009" xml:space="preserve">perchè le altre coſe, che avete <lb/>innanzi dette, quali che eſse ſieno, io era già diſ-<lb/>poſto di concedervele, ne voleva far guerra a tut-<lb/>to il mondo. </s>
  <s xml:id="echoid-s2010" xml:space="preserve">Ma ſenza fare così gran guerra io <lb/>nego bene, che poſſa dimoſtrarſi, la velocità del
<pb o="144" file="0168" n="168" rhead="Della forza de’ corpi"/>
globo N in <emph style="it">r</emph> dovere eſſer doppia della velocità <lb/>del globo C in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s2011" xml:space="preserve">Piacemi, diſſe allora il Signor <lb/>D. </s>
  <s xml:id="echoid-s2012" xml:space="preserve">Nicola, che voi mi concediate le coſe innanzi <lb/>dette; </s>
  <s xml:id="echoid-s2013" xml:space="preserve">e per queſto appunto le ho dette, accioc-<lb/>chè voi me le concedeſte. </s>
  <s xml:id="echoid-s2014" xml:space="preserve">Or come io dimoſtri <lb/>quello, che voi dite non poter dimoſtrarſi, vel <lb/>vedrete. </s>
  <s xml:id="echoid-s2015" xml:space="preserve">Egli è certo, che eſſendo la preſſion del-<lb/>la ſerie EN per tutto lo ſpazietto N<emph style="it">r</emph> ſempre e con-<lb/>tinuamente la ſteſſa, et eſſendo altresì la preſſione <lb/>della ſerie AC ſempre, e continuamente la ſteſſa <lb/>per tutto lo ſpazietto C<emph style="it">m</emph>, i due globi N e C così <lb/>dovranno ſcorrere gli ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph>, come <lb/>due corpi gravi ſcorrerebbono due ſpazj altrettan-<lb/>to lunghi, cadendo per eſſi a cagione della lor <lb/>gravità. </s>
  <s xml:id="echoid-s2016" xml:space="preserve">Perciocchè che altro fa la gravità in due <lb/>corpi, che cadono, ſe non quello ſteſſo, che fan-<lb/>no le due ſerie nei globi N e C, cioè ſpingerli <lb/>con una preſſione, la quale è ſempre, e continua-<lb/>mente la ſteſſa? </s>
  <s xml:id="echoid-s2017" xml:space="preserve">La gravità ſpinge tutti e due i <lb/>corpi all’ in giù; </s>
  <s xml:id="echoid-s2018" xml:space="preserve">le ſerie ſpingono i globi con <lb/>altra direzione. </s>
  <s xml:id="echoid-s2019" xml:space="preserve">Ma la direzione che leva, quando <lb/>i globi ſieno ſpinti all’ iſteſſo modo? </s>
  <s xml:id="echoid-s2020" xml:space="preserve">A intender <lb/>dunque, come i due globi ſcorrano gli ſpazietti <lb/>N<emph style="it">r</emph>, C<emph style="it">m</emph>, niente altro ſi ricerca, ſe non che con-<lb/>ſiderarli così appunto, come ſe tratti dalla gravi-<lb/>tà cadeſſero l’ uno da N in <emph style="it">r</emph>, l’ altro da C in <emph style="it">m</emph>, <lb/>applicando loro quelle leggi, che ſappiamo alla <lb/>gravità convenire. </s>
  <s xml:id="echoid-s2021" xml:space="preserve">Or ſecondo queſte leggi non <lb/>è egli ſubito manifeſto, che eſſendo lo ſpazio N<emph style="it">r</emph> <lb/>quadruplo dello ſpazio C<emph style="it">m</emph>, ſe il globo C caden-
<pb o="145" file="0169" n="169" rhead="Libro II."/>
do in <emph style="it">m</emph>, vi mette un certo tempo, e acquiſta <lb/>una certa velocità, il globo N cadendo in <emph style="it">r</emph>, do-<lb/>vrà mettervi tempo doppio, et acquiſtare doppia <lb/>velocità, così che gli ſpazj ſcorſi ſieno propor-<lb/>zionali ai quadrati sì delle velocità, come dei tem-<lb/>pi? </s>
  <s xml:id="echoid-s2022" xml:space="preserve">Ed eccovi dimoſtrato non ſolamente quello, <lb/>che ſi cercava, cioè la proporzione delle velocità, <lb/>che hanno i globi, giunti eſſendo in <emph style="it">r</emph> et <emph style="it">m;</emph></s>
  <s xml:id="echoid-s2023" xml:space="preserve">ma <lb/>anche quello, che non ſi cercava, cioè la propor-<lb/>zione de i tempi, in cui vi giungono. </s>
  <s xml:id="echoid-s2024" xml:space="preserve">Qui mo-<lb/>ſtrò il Signor D. </s>
  <s xml:id="echoid-s2025" xml:space="preserve">Niccola di fermarſi; </s>
  <s xml:id="echoid-s2026" xml:space="preserve">laonde la <lb/>Signora Principeſſa, io avviſo, diſſe, che eſſendo lo <lb/>ſpazietto N<emph style="it">r</emph> quadruplo dello ſpazietto C<emph style="it">m</emph>, quan-<lb/>do le due ſerie degli elaſtri, ſeguendo i globi, ſi <lb/>ſaranno allargate l’ una fino in <emph style="it">r</emph>, l’ altra fino in <lb/><emph style="it">m</emph>, dovranno gli elaftri tutti sì dell’ una come <lb/>dell’ altra eſſer di nuovo egualmente dilatati; </s>
  <s xml:id="echoid-s2027" xml:space="preserve">e <lb/>così potrà per la ſteſſa ragione dimoſtrarſi, che eſ-<lb/>ſendo lo ſpazietto <emph style="it">rs</emph> quadruplo dello ſpazietto <emph style="it">mn</emph>, <lb/>dovrà il globo N ſcorrendo da <emph style="it">r</emph> in <emph style="it">s</emph> acquiſtare <lb/>un’ altra velocità, che ſarà doppia di quella, che <lb/>acquiſterà il globo C ſcorrendo da <emph style="it">m</emph> in <emph style="it">n</emph>, e do-<lb/>vrà medeſimamente mettervi tempo doppio. </s>
  <s xml:id="echoid-s2028" xml:space="preserve">Il che <lb/>p<unsure/>otendo pur dirſi di tutti gli altri fpazietti, che <lb/>reſtano fino in O et D, par veramente che il glo-<lb/>bo N giunto in O dovrà avere acquiſtata una ve-<lb/>locità doppia di quella, che avrà acquiſtata il glo-<lb/>bo C giunto in D, e dovrà eſſervi giunto in tempo <lb/>doppio. </s>
  <s xml:id="echoid-s2029" xml:space="preserve">La qual dimoſtrazione fino ad ora mi par <lb/>tanto chiara, che non ſo, come potrà il noftro
<pb o="146" file="0170" n="170" rhead="Della forza de’ corpi"/>
Signor Zanotti farlami parere oſcura. </s>
  <s xml:id="echoid-s2030" xml:space="preserve">Aggiungete, <lb/>diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2031" xml:space="preserve">Serao, che in queſta dimo-<lb/>ſtrazione noi non abbiamo biſogno di que’ ſuoi in-<lb/>tervalli, co’ quali egli interrompe l’ azione della <lb/>elaſticità; </s>
  <s xml:id="echoid-s2032" xml:space="preserve">la quale noi facciamo continva, come <lb/>eſſer dee, volendo che la ſerie EN ſpinga il globo <lb/>con altri ed altri impulſi anche per tutto quel tem-<lb/>po, che egli ſcorre da N fino in <emph style="it">r</emph>, vie più affret-<lb/>tandolo; </s>
  <s xml:id="echoid-s2033" xml:space="preserve">ne mai lo laſci ſcorrere di moto equa-<lb/>bile: </s>
  <s xml:id="echoid-s2034" xml:space="preserve">e lo ſteſſo ſimilmente diciamo della ſerie A C. <lb/></s>
  <s xml:id="echoid-s2035" xml:space="preserve">Perchè a dire la verità il volere, che gli elaſtri die-<lb/>no un’ impulſo, e poi ſi rimangano per alcun <lb/>tempetto, paſſato il quale dieno un’ altro impulſo, <lb/>e ſi rimangan di nuovo; </s>
  <s xml:id="echoid-s2036" xml:space="preserve">parmi un’ immaginazio-<lb/>ne ſtrana, e tutta capriccioſa, e degna più toſto <lb/>dell’ ingegno di un poeta, che della ſerietà di un <lb/>filoſoſo. </s>
  <s xml:id="echoid-s2037" xml:space="preserve">Io non ho detto, ripreſi io allora, che <lb/>le potenze, come la gravità, l’elaſticità, e le altre <lb/>agiſcano veramente con quegl’ intervalli, ne che <lb/>ſi frappongano all’ azion loro infinite ceſſazioni e <lb/>dimore. </s>
  <s xml:id="echoid-s2038" xml:space="preserve">Ho ben detto, che potrebbono le poten-<lb/>ze agire di queſto modo, e ſto anche attendendo, <lb/>che mi ſi moſtri, quale incomodo veniſſe alla na-<lb/>tura per quegl’ infiniti ripoſi. </s>
  <s xml:id="echoid-s2039" xml:space="preserve">Che biſogno ha la <lb/>natura, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2040" xml:space="preserve">Serao, di ripoſarſi <lb/>di tanto in tanto? </s>
  <s xml:id="echoid-s2041" xml:space="preserve">Che biſogno ha, riſpoſi io, di <lb/>affaticarſi continvamente ſenza prendere ripoſo mai? </s>
  <s xml:id="echoid-s2042" xml:space="preserve"><lb/>Che ſe noi vorremo ſeguire l’ opinione di quel <lb/>filoſofo, che dicevate queſta mattina, il qual ſi <lb/>ſtudia di dare alla natura il men di azione che può,
<pb o="147" file="0171" n="171" rhead="LIBRO II."/>
io non ſo, come poſſan negarſi alle potenze quel-<lb/>le breviſſime ceſſazioni, ch’ io vorrei loro conce-<lb/>dere. </s>
  <s xml:id="echoid-s2043" xml:space="preserve">E voi vedete, che il Signor D. </s>
  <s xml:id="echoid-s2044" xml:space="preserve">Niccola, ſe-<lb/>guendo l’ingegnoſiſſimo Bernulli, ſe non ha frap-<lb/>poſto alcun intervallo alla preſſion degli elaſtri, <lb/>che egli ha conſiderata come perfettamente contin-<lb/>va, ne ha però frappoſto alla diminuzione; </s>
  <s xml:id="echoid-s2045" xml:space="preserve">vo-<lb/>lendo, che la preſſione da N fino in <emph style="it">r</emph> ſi abbia ſem-<lb/>pre per eguale, e ſolo ſi ſminuiſca un poco in <emph style="it">r</emph>, <lb/>e così ſminuita torni di nuovo ad eſſere ſempre <lb/>eguale fino in <emph style="it">s</emph>: </s>
  <s xml:id="echoid-s2046" xml:space="preserve">il che è frapporre degl’ intervalli, <lb/>ſe non alla preſſione, certo allo ſminuimento. </s>
  <s xml:id="echoid-s2047" xml:space="preserve">Sì, <lb/>riſpoſe il Signor D. </s>
  <s xml:id="echoid-s2048" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s2049" xml:space="preserve">ma queſti intervalli <lb/>non ſon già veri e reali, come i voſtri<emph style="it">;</emph> </s>
  <s xml:id="echoid-s2050" xml:space="preserve">volendo <lb/>il Signor D. </s>
  <s xml:id="echoid-s2051" xml:space="preserve">Niccola, che la preſſione non ſia già <lb/>perfettamente eguale in tutto lo ſpazietto N<emph style="it">r</emph>, ma <lb/>bensì che poſſa prenderſi come eguale<emph style="it">;</emph></s>
  <s xml:id="echoid-s2052" xml:space="preserve">percioc-<lb/>chè lo ſminuimento, che ſi fa di eſſa in tutto quello <lb/>ſpazio, è tanto picciolo, che può nelle comuni mi-<lb/>ſure e con la mente traſcurarſi. </s>
  <s xml:id="echoid-s2053" xml:space="preserve">Che mal ſarebbe, <lb/>riſpoſi io, ſe la natura aveſse traſcurato ciò, che <lb/>egli traſcura con la mente? </s>
  <s xml:id="echoid-s2054" xml:space="preserve">e che aſſurdo ne ver-<lb/>rebbe, ſe foſſer veri e reali quegl’ intervalli, che <lb/>noi poſſiam fingere ſenza aſſurdo? </s>
  <s xml:id="echoid-s2055" xml:space="preserve">Ma che giova a <lb/>noi fermarci in coſa lieve, e che poco ſerve a in-<lb/>tender la forza del ragionamento del Signor D. </s>
  <s xml:id="echoid-s2056" xml:space="preserve">Ni-<lb/>cola; </s>
  <s xml:id="echoid-s2057" xml:space="preserve">il qual ragionamento io ſto avidamente aſ-<lb/>pettando, come egli ſel voglia finire. </s>
  <s xml:id="echoid-s2058" xml:space="preserve">Il ragiona-<lb/>mento è già finito, diſſe il Signor D. </s>
  <s xml:id="echoid-s2059" xml:space="preserve">Niccola; </s>
  <s xml:id="echoid-s2060" xml:space="preserve">ne <lb/>io veggo, che coſa voi vi aſpettiate. </s>
  <s xml:id="echoid-s2061" xml:space="preserve">10 aſpetto,
<pb o="148" file="0172" n="172" rhead="DELLA FORZA DE’ CORPI"/>
diſſi, che voi mi dimoſtriate, come per le coſe, <lb/>che avete dette, non debba baſtar negli elaſtri la <lb/>potenza producitrice del movimento, e nei globi <lb/>l’ inerzia; </s>
  <s xml:id="echoid-s2062" xml:space="preserve">ma debba aggiungerviſi la forza viva di <lb/>Leibnizio. </s>
  <s xml:id="echoid-s2063" xml:space="preserve">Perchè ſe voi non dimoſtrate queſto, <lb/>io potrò, concedendovi tutto quello, che avete <lb/>detto, aver vinta la cauſa. </s>
  <s xml:id="echoid-s2064" xml:space="preserve">10 non credeva, riſpo-<lb/>ſe il Signor D. </s>
  <s xml:id="echoid-s2065" xml:space="preserve">Nicola, che voi aſpettaſte da me <lb/>una dimoſtrazion così facile; </s>
  <s xml:id="echoid-s2066" xml:space="preserve">ma poichè pur vo-<lb/>lete, et io vedrò di ſatisfarvi. </s>
  <s xml:id="echoid-s2067" xml:space="preserve">Quattro ſono le <lb/>potenze, o vero gli elaſtri, che compongono, co-<lb/>me vedete, la ſerie EN; </s>
  <s xml:id="echoid-s2068" xml:space="preserve">la ſerie AC è compoſta <lb/>di uno ſolo; </s>
  <s xml:id="echoid-s2069" xml:space="preserve">ſe dunque gli effetti debbono eſſere <lb/>proporzionali alle cagion loro, biſognerà ben dire, <lb/>che la ſerie EN debba produrre un’ effetto quadru-<lb/>plo di quello, che produce la ſerie AC. </s>
  <s xml:id="echoid-s2070" xml:space="preserve">Ora la <lb/>velocità del globo N non è quadrupla della velo-<lb/>cità del globo C, avendo io dimoſtrato, che ella <lb/>è doppia<emph style="it">;</emph></s>
  <s xml:id="echoid-s2071" xml:space="preserve">ne ſegue dunque, che le velocità dei glo-<lb/>bi non poſſano eſſer gli effetti delle due ſerie. </s>
  <s xml:id="echoid-s2072" xml:space="preserve">Qua-<lb/>li dunque ſaran gli effetti, ſe non due forze pro-<lb/>dotte ne’ globi N e C, la prima delle quali ſia <lb/>quadrupla dell’ altra; </s>
  <s xml:id="echoid-s2073" xml:space="preserve">cioè la prima ſia 4, l’ <lb/>altra 1? </s>
  <s xml:id="echoid-s2074" xml:space="preserve">Che ſe la forza del globo N è 4, eſſendo <lb/>la velocità 2, e la forza del globo C è 1, eſſendo <lb/>la velocità ſimilmente 1, ben vedete che tali for-<lb/>ze ſaranno appunto proporzionali ai quadrati del-<lb/>le velocità, e ſaran per conſeguente quelle ſteſſe, <lb/>che già propoſe con tanta pompa Leibnizio, ſo-<lb/>ſtenute poi dal ſottiliſſimo Bernulli con pompa
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non minore. </s>
  <s xml:id="echoid-s2075" xml:space="preserve">Ecco finito, ciò che tanto deſidera-<lb/>vate, il mio ragionamento; </s>
  <s xml:id="echoid-s2076" xml:space="preserve">nel quale io non ho <lb/>voluto altro, che eſporvi una famoſa dimoſtrazio-<lb/>ne, la qual tanto piacque a Bernulli, che non du-<lb/>bitò di anteporla quaſi a tutte l’ altre; </s>
  <s xml:id="echoid-s2077" xml:space="preserve">et a voi <lb/>forſe ſarebbe maggiormente piaciuta, ſe io aveſ-<lb/>ſi potuto abbellirla di quel leggiadro calcolo, di <lb/>cui egli la ornò; </s>
  <s xml:id="echoid-s2078" xml:space="preserve">ma vi baſti averne inteſa la forza. <lb/></s>
  <s xml:id="echoid-s2079" xml:space="preserve">A me ſarebbe piaciuto il calcolo, diſſe allora la <lb/>Signora Principeſſa; </s>
  <s xml:id="echoid-s2080" xml:space="preserve">ma più m’ è piaciuto il non <lb/>averne biſogno. </s>
  <s xml:id="echoid-s2081" xml:space="preserve">Indi a me rivolta, a voi ſta, <lb/>diſſe, di combattere ora la dimoſtrazione del <lb/>Signor D. </s>
  <s xml:id="echoid-s2082" xml:space="preserve">Niccola<emph style="it">;</emph></s>
  <s xml:id="echoid-s2083" xml:space="preserve">il che voglio, che facciate <lb/>con tutto lo sforzo, perchè a dirvi la verità, io <lb/>comincio già ad eſſerne quaſi preſa. </s>
  <s xml:id="echoid-s2084" xml:space="preserve">Signora, riſ-<lb/>poſi, voi mi invitate a combattere, e nello ſteſ-<lb/>ſo tempo mi levate il coraggio. </s>
  <s xml:id="echoid-s2085" xml:space="preserve">E non baſtava, <lb/>che io aveſſi da vincere l’autorità d’un così grand’ <lb/>uomo, come Bernulli è che voi volete aggiun-<lb/>gervi ancor la voſtra? </s>
  <s xml:id="echoid-s2086" xml:space="preserve">Mi ſpaventerebbe anche l’ <lb/>autorità del noſtro Signor D. </s>
  <s xml:id="echoid-s2087" xml:space="preserve">Nicola, ſe io cre-<lb/>deſſi, che egli foſſe così perſuaſo della ſua dimo-<lb/>ſtrazione, come ha voluto farci creder, ch’ e’ ſia. </s>
  <s xml:id="echoid-s2088" xml:space="preserve"><lb/>Ma io credo, che egli ne ſia perſuaſo aſſai poco<emph style="it">;</emph></s>
  <s xml:id="echoid-s2089" xml:space="preserve"><lb/>ne poſſo immaginarmi, che egli voglia conten-<lb/>dere con un ſuo fratello tanto caro, il quale <lb/>ſtampò già quel belliſſimo libro ſopra la forza vi-<lb/>va, e ſoſtenne quella opinione, che ſoſtengo io, <lb/>benchè ſotto altri termini, e d’ altra maniera. </s>
  <s xml:id="echoid-s2090" xml:space="preserve"><lb/>Non rinoviamo, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2091" xml:space="preserve">Nicco-
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la, la memoria funeſta di una morte, che troppo <lb/>mi fù amara. </s>
  <s xml:id="echoid-s2092" xml:space="preserve">E fù amara anche a me, riſpoſi io <lb/>allora; </s>
  <s xml:id="echoid-s2093" xml:space="preserve">e credo, che foſse a tutta Italia<emph style="it">;</emph></s>
  <s xml:id="echoid-s2094" xml:space="preserve"> perchè <lb/>io veramente perdetti un grande amico, e l’ Ita-<lb/>lia una gran ſperanza. </s>
  <s xml:id="echoid-s2095" xml:space="preserve">Allora la Signora Princi-<lb/>peſsa, a me pur, diſse, fù doloroſa oltremodo la <lb/>morte di quel giovane<emph style="it">;</emph></s>
  <s xml:id="echoid-s2096" xml:space="preserve"> ma non vorrei, che voi <lb/>con ſi pietoſe rimembranze, o diſtornaſte il di-<lb/>ſcorſo, o procuraſte di guadagnar l’ animo del <lb/>Signor D. </s>
  <s xml:id="echoid-s2097" xml:space="preserve">Niccola, e lo rendeſte più lento a re-<lb/>ſiſtervi. </s>
  <s xml:id="echoid-s2098" xml:space="preserve">Signora, diſse il Signor D. </s>
  <s xml:id="echoid-s2099" xml:space="preserve">Niccola, io <lb/>ho poco da reſiſtere, perchè la dimoſtrazione, di <lb/>cui ſi tratta, non è mia, ma di Bernulli; </s>
  <s xml:id="echoid-s2100" xml:space="preserve">pure do-<lb/>ve mi parrà di poter ſoſtenerla, io non ricuſo di <lb/>farlo. </s>
  <s xml:id="echoid-s2101" xml:space="preserve">Allora io incominciai: </s>
  <s xml:id="echoid-s2102" xml:space="preserve">Due coſe princi-<lb/>palmente vogliono dimoſtrarſi in coteſto argomen-<lb/>to di Bernulli. </s>
  <s xml:id="echoid-s2103" xml:space="preserve">L’ una ſi è, che la velocità del <lb/>globo N, giunto in <emph style="it">r</emph>, ſia doppia della velocità <lb/>del globo C, giunto in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s2104" xml:space="preserve">L’ altra, che, eſsen-<lb/>do doppia, debba per ciò introdurviſi la forza vi-<lb/>va. </s>
  <s xml:id="echoid-s2105" xml:space="preserve">Non ſon queſte quelle due coſe, intorno a <lb/>cui volgeſi tutto l’ argomento? </s>
  <s xml:id="echoid-s2106" xml:space="preserve">Così è, diſse il <lb/>Signor D. </s>
  <s xml:id="echoid-s2107" xml:space="preserve">Niccola. </s>
  <s xml:id="echoid-s2108" xml:space="preserve">Or queſte, ſoggiunſi io, ſon <lb/>quelle appunto, che io dico, non eſsere ancora <lb/>abbaſtanza dimoſtrate. </s>
  <s xml:id="echoid-s2109" xml:space="preserve">E qui rivoltomi alla Si-<lb/>gnora Principeſsa, vedete, diſſi, che io non fo <lb/>lungo giro. </s>
  <s xml:id="echoid-s2110" xml:space="preserve">Eſporrò in primo luogo quello, che <lb/>io deſidero nella dimoſtrazione della prima del-<lb/>le due ſopraddette coſe; </s>
  <s xml:id="echoid-s2111" xml:space="preserve">poi verrò all’ altra, ſe <lb/>vi piacerà. </s>
  <s xml:id="echoid-s2112" xml:space="preserve">Mi piacerà grandemente, diſse allora
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la Signora Principeſſa, di udire e dell’ una, e <lb/>dell’ altra. </s>
  <s xml:id="echoid-s2113" xml:space="preserve">Et io ſubito ripigliai a queſto modo: <lb/></s>
  <s xml:id="echoid-s2114" xml:space="preserve">Se io ho bene inteſo, non per altra ragione ci di-<lb/>moſtra il Signor D. </s>
  <s xml:id="echoid-s2115" xml:space="preserve">Niccola, che la velocità del <lb/>globo N giunto in <emph style="it">r</emph> ſia doppia della velocità del-<lb/>globo C giunto in <emph style="it">m</emph>, ſe non perchè egli vuole <lb/>conſiderar queſti globi, come due corpi gravi ca-<lb/>denti, l’ uno da N in <emph style="it">r</emph>, l’ altro da C in <emph style="it">m</emph>, et <lb/>applicar loro le leggi notiſſime della comune gra-<lb/>vità, laſciateci da Galileo. </s>
  <s xml:id="echoid-s2116" xml:space="preserve">Ma chi non ſa, che <lb/>queſte leggi voglion ſupporre, et hanno per lor <lb/>precipuo fondamento, che i corpi, le cui cadu-<lb/>te vogliono paragonarſi, partano tutti dalla quie-<lb/>te con la medeſima velocità? </s>
  <s xml:id="echoid-s2117" xml:space="preserve">la qual ſuppoſizio-<lb/>ne ſe noi leveremo via, ſaran levate ancor quel-<lb/>le leggi; </s>
  <s xml:id="echoid-s2118" xml:space="preserve">ne più ſi troveranno gli ſpazj proporzio-<lb/>nali ai quadrati ne delle velocità ne dei tempi. </s>
  <s xml:id="echoid-s2119" xml:space="preserve">A <lb/>far dunque valere le leggi della gravità ne’ due <lb/>globi N, e C, par, che doveſſe dimoſtrarſi in pri-<lb/>mo luogo, che eſſi globi partiſſero dalla quiete, <lb/>cioè dai punti N e C con la ſteſſa velocità amen-<lb/>due. </s>
  <s xml:id="echoid-s2120" xml:space="preserve">La qual coſa non avendo il Signor D. </s>
  <s xml:id="echoid-s2121" xml:space="preserve">Ni-<lb/>cola dimoſtrata, ne quello pure ha dimoſtrato che <lb/>ſi volea; </s>
  <s xml:id="echoid-s2122" xml:space="preserve">e quanto a me io ne dubiterò, finchè <lb/>egli la dimoſtri. </s>
  <s xml:id="echoid-s2123" xml:space="preserve">10 non l’ ho dimoſtrata, diſſe il <lb/>Signor D. </s>
  <s xml:id="echoid-s2124" xml:space="preserve">Niccola, perchè non la dimoſtra ne <lb/>Bernulli pure, la ragion del quale ho io voluto eſ-<lb/>porvi, e non altro. </s>
  <s xml:id="echoid-s2125" xml:space="preserve">10 dunque, riſpoſi, ne dubiterò, <lb/>finchè me la dimoſtri Bernulli. </s>
  <s xml:id="echoid-s2126" xml:space="preserve">Riſpoſe allora ſor-<lb/>ridendo il Signor D. </s>
  <s xml:id="echoid-s2127" xml:space="preserve">Niccola: </s>
  <s xml:id="echoid-s2128" xml:space="preserve">Bernulli non l’ ha
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dimoſtrata, perchè non ha creduto, che ne foſ-<lb/>ſe biſogno. </s>
  <s xml:id="echoid-s2129" xml:space="preserve">Di fatti come potrebbono non eſſe-<lb/>re eguali le velocità, con cui ſi partono i globi <lb/>dai punti N e C, eſſendo eguali gl’ impulſi, che <lb/>quivi ricevono l’ uno dalla ſerie EN, l’ altro dal-<lb/>la ſerie AC? </s>
  <s xml:id="echoid-s2130" xml:space="preserve">E queſto è quello, riſpoſi io, che <lb/>pur biſognerebbe dimoſtrare, cioè, che quel pri-<lb/>mo impulſo, con cui la ſerie EN aprendoſi cac-<lb/>cia il globo dal punto N, ſia eguale a quel pri-<lb/>mo impulſo, con cui l’ altra ſerie AC, pure a-<lb/>prendoſi, caccia l’ altro globo dal punto C. </s>
  <s xml:id="echoid-s2131" xml:space="preserve">Oh, <lb/>diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2132" xml:space="preserve">Niccola, non è egli chia-<lb/>ro, che le due ſerie prima di aprirſi, quando ſta-<lb/>vano ferme, e chiuſe, premeano i globi egual-<lb/>mente, ſpingendoli ciaſcuna di loro con eguali <lb/>impulſi? </s>
  <s xml:id="echoid-s2133" xml:space="preserve">levata dunque quella potenza, che le te-<lb/>nea chiuſe, e ferme, fuggiranno via i globi cac-<lb/>ciati da impulſi eguali, e così comincieranno a <lb/>correre con eguali velocità. </s>
  <s xml:id="echoid-s2134" xml:space="preserve">A dir vero, riſpoſi <lb/>io allora, queſta dimoſtrazione io non aſpettava, <lb/>e parmi, che aſſai ben facciano quelli, che la paſ-<lb/>ſano in ſilenzio, troppo eſſendo facile il riſpon-<lb/>derle. </s>
  <s xml:id="echoid-s2135" xml:space="preserve">Perchè io veramente concedo, che le due <lb/>ſerie prima di aprirſi, eſſendo chiuſe, e ferme, <lb/>ſpingono i globi con eguali impulſi; </s>
  <s xml:id="echoid-s2136" xml:space="preserve">ma vorrei, <lb/>che mi ſi dimoſtraſſe, che gli ſpingano con egua-<lb/>li impulſi eziandio nell’ aprirſi<emph style="it">;</emph></s>
  <s xml:id="echoid-s2137" xml:space="preserve"> perciocchè i glo-<lb/>bi fuggon via, e mettonſi in cammino, non per <lb/>quegl’ impulſi, che ebbero prima, che le ſerie ſi <lb/>apriſſero, ma per quelli, che hanno, mentre ſi a-
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prono. </s>
  <s xml:id="echoid-s2138" xml:space="preserve">Per qual ragione, diſſe allora il Signor D. <lb/></s>
  <s xml:id="echoid-s2139" xml:space="preserve">Niccola, dovranno gl’impulſi, che, eſſendo chiu-<lb/>ſe le ſerie, erano eguali, divenir diſeguali, mentre <lb/>ſi aprono? </s>
  <s xml:id="echoid-s2140" xml:space="preserve">Pareva in queſta conteſa, che il Signor <lb/>Marcheſe di Campo Hermoſo ſi inclinaſſe alla mia <lb/>opinione, e udita la domanda ultima del Signor <lb/>D. </s>
  <s xml:id="echoid-s2141" xml:space="preserve">Nicola aveſſe pur voglia di riſpondergli. </s>
  <s xml:id="echoid-s2142" xml:space="preserve">Perchè <lb/>io a lui rivolto il pregai di voler dire; </s>
  <s xml:id="echoid-s2143" xml:space="preserve">et egli mo-<lb/>deſtamente, ſecondo il coſtume ſuo, a me par, diſ-<lb/>ſe, che eſſendo chiuſe le ſerie, e tenute ferme da <lb/>quelle potenze, che tengono fermi i globi, gli ela-<lb/>ſtri di ciaſcuna ſi ſoſtengan l’ un l’ altro, ne agiſca <lb/>contra il globo ſe non un’ elaſtro ſolo, che è quel <lb/>primo, che tocca il globo ſteſſo. </s>
  <s xml:id="echoid-s2144" xml:space="preserve">E quindi è, che <lb/>qualunque ſia il numero degli elaſtri, onde l’una, <lb/>o l’ altra ſerie ſi compone, finchè eſſe ſi ſtanno <lb/>chiuſe, ſpingono amendue i globi egualmente. </s>
  <s xml:id="echoid-s2145" xml:space="preserve">Ma <lb/>ſe ſi aprono, allora gli elaſtri più non ſi ſoſtengon <lb/>l’ un l’ altro, ma ſcorrono tutti dalla parte del <lb/>globo, e tutti lo ſpingono; </s>
  <s xml:id="echoid-s2146" xml:space="preserve">e quindi è, che nell’ <lb/>aprirſi più ſpingerà quella ſerie, che ſarà compoſta <lb/>di più elaſtri; </s>
  <s xml:id="echoid-s2147" xml:space="preserve">e ſe una ſarà compoſta di un elaſtro <lb/>ſolo, et un’ altra di quattro, dovrà queſta nell’ a-<lb/>prirſi dare al globo un’ impulſo quattro volte mag-<lb/>giore di quella, quantunque prima di aprirſi ſpin-<lb/>geſſero amendue egualmente. </s>
  <s xml:id="echoid-s2148" xml:space="preserve">E poichè v’ è pia-<lb/>ciuto di chiamarmi in una controverſia così ſotti-<lb/>le, benchè le mie ragioni non poſſano aggiunger <lb/>niun peſo alle voſtre, pur ne dirò una, che mi va <lb/>ora per l’ animo, ed è queſta. </s>
  <s xml:id="echoid-s2149" xml:space="preserve">Secondo che voi
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mi avete queſta mattina inſegnato, gli elaſtri, di <lb/>cui ragioniamo, e che il grandiſſimo Bernulli pro-<lb/>poſe, non ſono ne materiali, ne corporei; </s>
  <s xml:id="echoid-s2150" xml:space="preserve">in ſom-<lb/>ma non ſono elaſtri; </s>
  <s xml:id="echoid-s2151" xml:space="preserve">ma ſono preſſioni, le quali <lb/>noi chiamiamo elaſtri; </s>
  <s xml:id="echoid-s2152" xml:space="preserve">e queſte preſſioni non aven-<lb/>do alcun altro ſoggetto, in cui ſuſſiſtano, dee in-<lb/>tenderſi, che ſieno immediatamente applicate al glo-<lb/>bo ſteſſo. </s>
  <s xml:id="echoid-s2153" xml:space="preserve">Or dunque dicendoſi, che nell’ aprirſi <lb/>la ſerie EN, ſi ſcagliano quattro elaſtri verſo il <lb/>globo N, dovremo intendere, che quattro preſ-<lb/>ſioni immediatamente aſſaliſcano il gobo N, eſſen-<lb/>do il globo C aſsalito da una ſola; </s>
  <s xml:id="echoid-s2154" xml:space="preserve">onde pur ſegue, <lb/>che quadruplo debba eſſer l’ impulſo del globo N; <lb/></s>
  <s xml:id="echoid-s2155" xml:space="preserve">e quadrupla altresì la velocità. </s>
  <s xml:id="echoid-s2156" xml:space="preserve">Ma laſciamo ſtar <lb/>queſto; </s>
  <s xml:id="echoid-s2157" xml:space="preserve">che poco monta. </s>
  <s xml:id="echoid-s2158" xml:space="preserve">Ben mi pare, che ſe i due <lb/>globi partono dalla quiete con due velocità diſe-<lb/>guali, l’ una quadrupla dell’ altra; </s>
  <s xml:id="echoid-s2159" xml:space="preserve">a voler conſide-<lb/>rargli, come moſſi da alcun genere di gravità, bi-<lb/>ſogni dire, che abbiano due gravità diverſe, l’ una <lb/>quadrupla dell’ altra. </s>
  <s xml:id="echoid-s2160" xml:space="preserve">Onde ſegue (ſecondo che di-<lb/>cevamo queſta mattina ) che eſsendo lo ſpazio N<emph style="it">r</emph> <lb/>quadruplo dello ſpazio C<emph style="it">m</emph>, debba il globo N, avere <lb/>in <emph style="it">r</emph>, velocità quadrupla di quella, che avrà il globo <lb/>C in <emph style="it">m</emph>; </s>
  <s xml:id="echoid-s2161" xml:space="preserve">non dunque doppia, come vogliono i Ber-<lb/>nulliani; </s>
  <s xml:id="echoid-s2162" xml:space="preserve">i quali molto mi meraviglio, che non <lb/>abbian curato di dimoſtrare coſa tanto neceſſaria, <lb/>cioè che i globi N, e C partano dalla quiete con <lb/>la medeſima velocità. </s>
  <s xml:id="echoid-s2163" xml:space="preserve">Vedete, diſſi io allora, ſe <lb/>era coſa neceſſaria. </s>
  <s xml:id="echoid-s2164" xml:space="preserve">Il valoroſiſſimo Eraclito Man-<lb/>fredi, del quale avrete udito dire aſſai volte, me-
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dico, fra quanti ne ha Italia, chiaro et illuſtre, e@ <lb/>oltre a ciò geometra molto deſtro, e degno de i due <lb/>famoſi fratelli Euſtachio, e Gabriello, preſe, alquan-<lb/>ti anni ſono, nell’ Accademia di Bologna a conſi-<lb/>derare quella dimoſtrazione, che ſotto un’ elegan-<lb/>te calcolo eſpoſe Bernulli, e poco fa ci ha eſpoſta <lb/>il Signor D. </s>
  <s xml:id="echoid-s2165" xml:space="preserve">Niccola ſenza calcolo. </s>
  <s xml:id="echoid-s2166" xml:space="preserve">Aveva Bernul-<lb/>li in quella ſua artificioſa ſupputazione chiamato <lb/><emph style="it">p</emph> quella preſſione, con la quale aprendoſi una <lb/>ſerie urta un globo; </s>
  <s xml:id="echoid-s2167" xml:space="preserve">e chiamando altresì <emph style="it">p</emph> la <lb/>preſſione, con cui ſpiegandoſi un’ altra ſerie urta <lb/>un’ altro globo, aveva dimoſtrato con ciò, che <lb/>egli avea per egualiamendue quelle preſſioni, quan-<lb/>tunque le ſerie da lui propoſte foſſero diſeguali. <lb/></s>
  <s xml:id="echoid-s2168" xml:space="preserve">E di qui cominciando, avea poi teſſuto certo calco-<lb/>lo, che ſecondo l’intendimento ſuo, non ſenza <lb/>offeſa de Carteſiani, lo conduceva all’ opinion di <lb/>Leibnizio. </s>
  <s xml:id="echoid-s2169" xml:space="preserve">Il Manfredi ſeguendo le iſteſſe orme, non <lb/>mutò altro, ſe non che l’ una delle dette preſſioni <lb/>chiamò <emph style="it">p</emph>, l’ altra <emph style="it">np</emph>, moſtrando con ciò di non a-<lb/>verle per eguali, ma bensì per proporzionali alle <lb/>ſerie ſteſſe; </s>
  <s xml:id="echoid-s2170" xml:space="preserve">e con queſto ſolo fraſtornò tutto quel <lb/>calcolo di maniera, che diſtogliendolo dall’ opinion <lb/>di Leibnizio gli acquiſtò l’ amicizia e la grazia de <lb/>Carteſiani. </s>
  <s xml:id="echoid-s2171" xml:space="preserve">Il che pur fece quaſi allo ſteſſo tempo il <lb/>Padre Negri Barnabita matematico aſſai illuſtre <lb/>in Milano. </s>
  <s xml:id="echoid-s2172" xml:space="preserve">Tanto era neceſsario a Bernulliani il <lb/>dimoſtrar l’ uguaglianza di que’ due primi impul-<lb/>ſi, con cui le ſerie cacciano i globi nel loro aprir-<lb/>ſi. </s>
  <s xml:id="echoid-s2173" xml:space="preserve">E di vero tolta una tale uguaglianza, io sfido
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qualſiſia uomo del mondo a dimoſtrarmi, che la <lb/>velocità del globo N giunto in <emph style="it">r</emph> debba eſser dop-<lb/>pia della velocità del globo C giunto in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s2174" xml:space="preserve">Voi <lb/>fate, diſse il Signor D. </s>
  <s xml:id="echoid-s2175" xml:space="preserve">Niccola, come quello, <lb/>che involò le arme al compagno, e poi sfidollo a <lb/>combattimento<emph style="it">;</emph></s>
  <s xml:id="echoid-s2176" xml:space="preserve"> così voi avete involata a Bernul-<lb/>liani l’ uguaglianza dei due primi impulſi, e poi <lb/>gli chiamate a dimoſtrar ciò, che ſenza quella di-<lb/>moſtrare non ſi potrebbe. </s>
  <s xml:id="echoid-s2177" xml:space="preserve">Se tale uguaglianza, riſ-<lb/>poſi, era loro così neceſsaria, perchè dunque non <lb/>affidarla a qualche dimoſtrazione, onde non poteſ-<lb/>ſe eſsere involata ſi facilmente? </s>
  <s xml:id="echoid-s2178" xml:space="preserve">Ma ( vedete ſe io <lb/>ſon litigioſo ) voglio concedere, e concedo l’ ugua-<lb/>glianza de’ primi impulſi: </s>
  <s xml:id="echoid-s2179" xml:space="preserve">mi ſi dimoſtrerà egli <lb/>per ciò, che la velocità del globo N, giunto in <emph style="it">r</emph>, <lb/>debba eſſer doppia della velocità del globo C, <lb/>giunto in <emph style="it">m</emph>? </s>
  <s xml:id="echoid-s2180" xml:space="preserve">io nol credo già. </s>
  <s xml:id="echoid-s2181" xml:space="preserve">Voi mi parete, <lb/>diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2182" xml:space="preserve">Niccola, egualmente li-<lb/>tigioſo, e concedendo, e negando. </s>
  <s xml:id="echoid-s2183" xml:space="preserve">Ma ditemi<emph style="it">;</emph></s>
  <s xml:id="echoid-s2184" xml:space="preserve"> <lb/>non è egli vero, che le preſſioni delle due ſerie ſe-<lb/>guon ſempre ad’ eſſer le medeſime, l’ una da N fino <lb/>in <emph style="it">r</emph>, l’ altra da C fino in <emph style="it">m</emph>? </s>
  <s xml:id="echoid-s2185" xml:space="preserve">Così è veramente, riſ-<lb/>poſi, eſſendo li ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph> infiniteſimi. </s>
  <s xml:id="echoid-s2186" xml:space="preserve">E ſe <lb/>è così, ripigliò il Signor D. </s>
  <s xml:id="echoid-s2187" xml:space="preserve">Nicola, dovranno i <lb/>globi ſcorrere li ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph>, come ſe foſſero <lb/>tratti amendue dalla comune gravità giacchè voi <lb/>ora pur concedete, le prime velocità, con cui ſi <lb/>partono dalla quiete, eſſere eguali tra loro; </s>
  <s xml:id="echoid-s2188" xml:space="preserve">eſ-<lb/>ſendo eguali i primi impulſi. </s>
  <s xml:id="echoid-s2189" xml:space="preserve">Dunque oſſerveran-<lb/>no le leggi della comune gravità. </s>
  <s xml:id="echoid-s2190" xml:space="preserve">Dunque la ve-
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locità del globo N giunto in <emph style="it">r</emph>, dovrà eſſer dop-<lb/>pia della velocità del globo C giunto in <emph style="it">m</emph>, eſſen-<lb/>do N<emph style="it">r</emph> quadruplo di C<emph style="it">m</emph>. </s>
  <s xml:id="echoid-s2191" xml:space="preserve">E queſto è quello, riſ-<lb/>poſi, che biſognerebbe dimoſtrare. </s>
  <s xml:id="echoid-s2192" xml:space="preserve">E non vi par <lb/>egli dimoſtrato? </s>
  <s xml:id="echoid-s2193" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s2194" xml:space="preserve">Niccola. </s>
  <s xml:id="echoid-s2195" xml:space="preserve">Et io <lb/>riſpoſi: </s>
  <s xml:id="echoid-s2196" xml:space="preserve">io concedo, che la gravità inſeguiſce i cor-<lb/>pi, allorchè cadono, con una preſſione continva, <lb/>e ſempre eguale; </s>
  <s xml:id="echoid-s2197" xml:space="preserve">e concedo altresì, che l’ elaſti-<lb/>cità delle due ſerie inſeguiſce i globi per li ſpa-<lb/>zietti N<emph style="it">r</emph>, C<emph style="it">m</emph> con una preſſione, continua eſſæ<unsure/> <lb/>pure, e ſempre eguale. </s>
  <s xml:id="echoid-s2198" xml:space="preserve">Ma da ciò che ne viene@ <lb/>Ne vien, diſſe il Signor D. </s>
  <s xml:id="echoid-s2199" xml:space="preserve">Niccola, che la elaſti-<lb/>cità delle ſerie, ſpingendo i globi, oſſerverà quelle <lb/>ſteſſe leggi, che oſſerva la gravità; </s>
  <s xml:id="echoid-s2200" xml:space="preserve">e così i glo-<lb/>bi, ſcorrendo gli ſpazj N<emph style="it">r</emph>, C<emph style="it">m</emph>, avranno le <lb/>velocità proporzionali ai tempi, e ſcorreranno ſpa-<lb/>zj proporzionali ai quadrati delle velocità, e ſa-<lb/>rà la velocità dell’ uno, giunto in <emph style="it">r</emph>, doppia del-<lb/>la velocità dell’ altro giunto in <emph style="it">m</emph>. </s>
  <s xml:id="echoid-s2201" xml:space="preserve">Ne di ciò po-<lb/>tete voi dubitare, ſe già non volete prender lite <lb/>con tutti i filoſofi. </s>
  <s xml:id="echoid-s2202" xml:space="preserve">Non temerei, riſpoſi, di pren-<lb/>der lite con tutti, avendola preſa con voi; </s>
  <s xml:id="echoid-s2203" xml:space="preserve">ma ſen-<lb/>za lite, io dimando folamente, fe la gravità oſſer-<lb/>vi quelle leggi, che avete detto, per queſta ragio-<lb/>ne, perchè adopra ne corpi una preſſione contin-<lb/>va ſempre et eguale, o per altra ragione, qual <lb/>che ella ſiaſi. </s>
  <s xml:id="echoid-s2204" xml:space="preserve">Che monta a voi, diſse il Signor D. <lb/></s>
  <s xml:id="echoid-s2205" xml:space="preserve">Niccola, di ſapere, per qual ragione la gravità <lb/>oſservi quelle tali leggi? </s>
  <s xml:id="echoid-s2206" xml:space="preserve">ſe pur le oſserva, non è <lb/>da cercare altro. </s>
  <s xml:id="echoid-s2207" xml:space="preserve">10 cerco, diſſi, la ragion di oſ-
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ſervarle, ne credo di aver torto; </s>
  <s xml:id="echoid-s2208" xml:space="preserve">perchè ſe la gra-<lb/>vità oſserva quelle ſue leggi per queſta ragione, <lb/>che adopra ne corpi una preſſione continva ſem-<lb/>pre, et eguale, ne viene, che ogni altra potenza, <lb/>la quale ſimilmente adopti una preſſione contin-<lb/>va ſempre et eguale, dovrà oſservare le iſteſse <lb/>leggi; </s>
  <s xml:id="echoid-s2209" xml:space="preserve">ma ſe la gravità le oſserva, non per quel-<lb/>la ragione, ma per qualche altra, che noi forſe <lb/>non ſappiamo, potrà certamente dubitarſi, che al-<lb/>cun’ altra potenza, quantunque adopri una preſ-<lb/>ſion continva, et eguale, non però oſſervi quelle <lb/>medeſime leggi. </s>
  <s xml:id="echoid-s2210" xml:space="preserve">Benchè dunque l’ elaſticità delle <lb/>ſerie ſpinga i globi per li ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph> con <lb/>una preſſion continva et eguale, il che io vicon-<lb/>cedo, non è perciò dimoſtrato, che ella debba ſe-<lb/>guire le leggi della gravità; </s>
  <s xml:id="echoid-s2211" xml:space="preserve">perchè la gravità iſteſ-<lb/>ſa le ſegue non forſe per la continvazione, et u-<lb/>guaglianza della preſſion ſua, ma per altro. </s>
  <s xml:id="echoid-s2212" xml:space="preserve">Qui <lb/>il Signor D. </s>
  <s xml:id="echoid-s2213" xml:space="preserve">Serao, che fino ad ora s’ era taciuto, <lb/>voi, diſse, ſiete il pi<unsure/>ù eccellente uomo del mondo <lb/>a dubitare; </s>
  <s xml:id="echoid-s2214" xml:space="preserve">ne credo, che Socrate, il qual diceſi <lb/>eſsere ſtato tanto valoroſo in queſt’ arte, vi avan-<lb/>zaſse. </s>
  <s xml:id="echoid-s2215" xml:space="preserve">Ma per qual’ altra ragione volete voi, che <lb/>la gravità ſegua quelle ſue leggi, ſe non per eſser <lb/>continva et eguale la ſua preſſione? </s>
  <s xml:id="echoid-s2216" xml:space="preserve">A me par cer-<lb/>to, diſse quivi la Signora Principeſsa, che ſe nel <lb/>corpo, che cade, la velocità è ſempre proporzio-<lb/>nale al tempo (la qual può dirſi la prima e prin-<lb/>cipal legge della gravità) ciò debba ſeguire, per-<lb/>chè eſsendo la preſſione ſempre eguale, tanto più
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di velocità dee produrre, quanto più tempo ella du-<lb/>ra; </s>
  <s xml:id="echoid-s2217" xml:space="preserve">onde egli ſi par bene, che queſta legge naſca non <lb/>d’ altro che dalla continvazione della ſteſſa preſ-<lb/>ſione nel tempo. </s>
  <s xml:id="echoid-s2218" xml:space="preserve">Non vi diſpiacerà, o Signora, <lb/>diſſi io quivi, che io vi contradica; </s>
  <s xml:id="echoid-s2219" xml:space="preserve">perchè io cre-<lb/>do, che voi per queſto appunto abbiate propoſta <lb/>una tal ragione. </s>
  <s xml:id="echoid-s2220" xml:space="preserve">Qui ſorridendo la Signora Prin-<lb/>cipeſſa, pur, diſse, che riſpondete? </s>
  <s xml:id="echoid-s2221" xml:space="preserve">10, diſſi, non <lb/>riſpondo altro; </s>
  <s xml:id="echoid-s2222" xml:space="preserve">ſe non che domando, ſe la preſ-<lb/>ſione della gravità, ſiccome è continva e ſempre e-<lb/>guale per tutto il tempo della caduta, così pari-<lb/>mente ſia continva et eguale per tutto lo ſpazio. <lb/></s>
  <s xml:id="echoid-s2223" xml:space="preserve">Perchè domandate voi queſto? </s>
  <s xml:id="echoid-s2224" xml:space="preserve">diſſe la Signora <lb/>Principeſſa. </s>
  <s xml:id="echoid-s2225" xml:space="preserve">Perchè, riſpoſi, ſe l’ azione ovvero <lb/>preſſione della gravità è continva e ſempre egua-<lb/>le per tutto lo ſpazio, e però non produce una <lb/>velocità proporzionale allo ſpazio; </s>
  <s xml:id="echoid-s2226" xml:space="preserve">perchè non po-<lb/>trebbe ella eſſer ſimilmente continva et eguale per <lb/>tutto il tempo, e non produr tuttavia una velo-<lb/>cità proporzionale al tempo? </s>
  <s xml:id="echoid-s2227" xml:space="preserve">E ſe la produce pro-<lb/>porzionale al tempo, biſogna ben dite, che il fac-<lb/>cia non per quella continvazion ſempre eguale, <lb/>ma per altra ragione, che non ſappiamo. </s>
  <s xml:id="echoid-s2228" xml:space="preserve">Voi <lb/>dunque, diſſe allora la Signora Principeſſa, <lb/>volete rigettare una ragione, che tutti ab-<lb/>bracciano, per ſeguirne un’ altra, che voi ſteſſo <lb/>dite di non ſapere! Ma come è queſto, che l’ azion <lb/>della gravità, eſsendo ſempre eguale in ſe ſteſsa, <lb/>non debba ſtimarſi tanto maggiore, quanto più <lb/>lungo è il tempo, per cui dura? </s>
  <s xml:id="echoid-s2229" xml:space="preserve">I più veramente,
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riſpoſi io, così la ſtimano; </s>
  <s xml:id="echoid-s2230" xml:space="preserve">ma ſe io voleſſi ora la-<lb/>ſciarmi vincere dall’ autorità, mi laſcierei vineere <lb/>dalla voſtra; </s>
  <s xml:id="echoid-s2231" xml:space="preserve">e così ſarebbe trà noi finita ogni diſ-<lb/>puta. </s>
  <s xml:id="echoid-s2232" xml:space="preserve">Sappiate però, che il Padre Riccati, che voi <lb/>avete già cominciato a ſtimar tanto, e più ancora <lb/>lo ſtimerete, come avrete letto il ſuo libro, mi-<lb/>ſura l’ azione della gravità non dal tempo ma dal-<lb/>lo ſpazio; </s>
  <s xml:id="echoid-s2233" xml:space="preserve">benchè poi voglia, che non la veloci-<lb/>tà ſi produca da quella azione, ma una certa ſua <lb/>forza viva. </s>
  <s xml:id="echoid-s2234" xml:space="preserve">Tanto è vero, che quantunque l’ azio-<lb/>ne della gravità ſia continva et eguale nel tempo, <lb/>non per queſto però ſi dimoſtra, che debba ne el-<lb/>la ne l’ effetto ſuo miſurarſi dal té<unsure/>mpo ſteſso. </s>
  <s xml:id="echoid-s2235" xml:space="preserve">Voi <lb/>dunque, diſse allora la Signora Principeſsa, ſe al-<lb/>cuno vi pregaſse di dimoſtrargli, che la velocità <lb/>ne i gravi debba eſsere proporzionale al tempo, <lb/>non ſapreſte, come farlo. </s>
  <s xml:id="echoid-s2236" xml:space="preserve">10 il ſaprei sì, riſpoſi, <lb/>ſe voi non aveſte dato ordine a queſti Signori di <lb/>contradirmi; </s>
  <s xml:id="echoid-s2237" xml:space="preserve">perchè io direi, che la preſſione del-<lb/>la gravità ſi compone di inſinite preſſioni iſtanta-<lb/>nee, tutte tra loro eguali, e tutte trà loro diſgiun-<lb/>te per intervalli e tempetti eguali; </s>
  <s xml:id="echoid-s2238" xml:space="preserve">e ſpiegata così <lb/>la gravità, ſi vedrebbe chiaro, che tanto maggio-<lb/>re debba eſſere l’ azion ſua, e per conſeguente an-<lb/>che la velocità, che per lei ſi produce, quanto è <lb/>maggiore il numero delle preſſioni iſtantanee, cioè <lb/>quanto è maggiore il numero degl’ intervalli, che <lb/>è lo ſteſſo che dire, quanto è più lungo il tempo. <lb/></s>
  <s xml:id="echoid-s2239" xml:space="preserve">Ma queſti Signori non vogliono ne le preſſioni <lb/>iſtantanee, ne gl’ intervalli. </s>
  <s xml:id="echoid-s2240" xml:space="preserve">Ed ecco il frutto dell’
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aver voi voluto, che mi contradicano; </s>
  <s xml:id="echoid-s2241" xml:space="preserve">che eſſi <lb/>per ſervirvi ſi hanno poſto nell’ animo di contra-<lb/>dirmi in ogni coſa. </s>
  <s xml:id="echoid-s2242" xml:space="preserve">Allora la Signora Principeſ-<lb/>ſa ridendo, ſe io, diſſe, ho voluto, che eſſi vi <lb/>contradicano, ho anche voluto, che voi vi difen-<lb/>diate; </s>
  <s xml:id="echoid-s2243" xml:space="preserve">ma ſe voi non volete valervi di quei voſtri <lb/>intervalli, voi laſciate ſenza dimoſtrazione le leggi <lb/>della gravità, delle quali per ciò dovrà ognuno po-<lb/>ter dubitare. </s>
  <s xml:id="echoid-s2244" xml:space="preserve">No Signora, riſpoſi; </s>
  <s xml:id="echoid-s2245" xml:space="preserve">perchè ſenza i miei <lb/>intervalli, e ſenza niuna altra dimoſtrazione, <lb/>le ha dimoſtrate abbaſtanza l’ eſperienza; </s>
  <s xml:id="echoid-s2246" xml:space="preserve">la <lb/>quale ſe come le ha dimoſtrate nella gravità, così <lb/>le aveſse dimoſtrate anche nella elaſticità, io non <lb/>dubiterei di ammetterle e nell’ una e nell’ altra; <lb/></s>
  <s xml:id="echoid-s2247" xml:space="preserve">ma avendole l’ eſperienza dimoſtrate in quella, e <lb/>non in queſta, io credo di potere ammetterle in <lb/>quella, ſenza eſsere per ciò obbligato di ammetter-<lb/>le anche in queſta. </s>
  <s xml:id="echoid-s2248" xml:space="preserve">Voi dunque, diſſe allora il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s2249" xml:space="preserve">Serao, non confidate niente alla analo-<lb/>gia. </s>
  <s xml:id="echoid-s2250" xml:space="preserve">Che dite voi di analogia? </s>
  <s xml:id="echoid-s2251" xml:space="preserve">riſpoſi io. </s>
  <s xml:id="echoid-s2252" xml:space="preserve">Ed egli, <lb/>parmi, di<unsure/>ſſe, che ſe l’ elaſticità delle due ſerie EN, <lb/>AC è pur ſimile alla gravità in queſto, che ſpin-<lb/>gendo i globi per gli ſpazj N<emph style="it">r</emph>, C<emph style="it">m</emph>, adopra in <lb/>eſſi una preſſione eguale e continva, le debba an-<lb/>che per una certa analogia eſſer ſimile in tutto il <lb/>reſtante, e così oſſervare le iſteſſe leggi. </s>
  <s xml:id="echoid-s2253" xml:space="preserve">10 ſto a <lb/>vedere, che voi vorrete mettere in dubio anche <lb/>il principio della analogia, di cui oggi tutti ſi ſer-<lb/>vono, e l’ hanno quaſi per lo primo e principal <lb/>fondamento della fiſica; </s>
  <s xml:id="echoid-s2254" xml:space="preserve">così che ormai ſarebbe
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vergogna il dubitarne. </s>
  <s xml:id="echoid-s2255" xml:space="preserve">Io m’ accorgo, riſpoſi, che <lb/>voi avete paura, che io ne dubiti; </s>
  <s xml:id="echoid-s2256" xml:space="preserve">e con ciò di-<lb/>moſtrate di dubitarne un poco anche voi; </s>
  <s xml:id="echoid-s2257" xml:space="preserve">ma a <lb/>dirvi il vero io credo, che queſta analogia ( che <lb/>così la chiamano con nome greco, ne ſo quanto <lb/>bene ) ſia un luogo pericoloſiſſimo, da cui ſi trag-<lb/>gono argomenti talvolta di qualche peſo, ſpeſſiſſi-<lb/>mo di niuno. </s>
  <s xml:id="echoid-s2258" xml:space="preserve">Perciocchè ella è poſta non in altro, <lb/>che in una certa ſimilitudine, che alcuni voglion <lb/>ſupporre, che ſia in tutte le coſe tanto grande, <lb/>quanto mai eſſer può. </s>
  <s xml:id="echoid-s2259" xml:space="preserve">E così conoſciutone due, <lb/>che ſieno ſimili alcun poco, facilmente ſi induco-<lb/>no a credere, che debbano eſſer ſimili in tutto; <lb/></s>
  <s xml:id="echoid-s2260" xml:space="preserve">e tutte le proprietà, che trovano in una, non han-<lb/>no diſſicoltà di attribuirle anche all’ altra. </s>
  <s xml:id="echoid-s2261" xml:space="preserve">Il che <lb/>oggimai è tanto innanzi proceduto, che molti han-<lb/>no creduto dover eſſer degli uomini nella luna, ſo-<lb/>lo perchè eſsendo la luna ſimile alla terra, inquanto <lb/>ha delle montagne, penſano, che debba eſserle ſimile <lb/>in ogni altra coſa. </s>
  <s xml:id="echoid-s2262" xml:space="preserve">Al quale argomento ſe noi vo-<lb/>leſſimo tener dietro, biſognerebbe mettere nella <lb/>luna ancor le maſchere e i teatri. </s>
  <s xml:id="echoid-s2263" xml:space="preserve">Sapete, quante <lb/>novelle, valendoſi della analogia, perſuaſe già il leg-<lb/>giadro franceſe a quella ſua giovinetta. </s>
  <s xml:id="echoid-s2264" xml:space="preserve">Per quel <lb/>ch’ io veggo, diſse allora il Signor D. </s>
  <s xml:id="echoid-s2265" xml:space="preserve">Serao, voi <lb/>ſiete un gran nemico della analogia. </s>
  <s xml:id="echoid-s2266" xml:space="preserve">Ma pur par-<lb/>mi, che la ſimilitudine, in cui eſsa è fondata, mol-<lb/>to ſi convenga alla natura. </s>
  <s xml:id="echoid-s2267" xml:space="preserve">E perchè, riſpoſi, non <lb/>le converrebbe altrettanto la varietà? </s>
  <s xml:id="echoid-s2268" xml:space="preserve">Perchè, diſ-<lb/>ſe il Signor D. </s>
  <s xml:id="echoid-s2269" xml:space="preserve">Serao, le coſe ſono più belle ridu-
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cendoſi a una certa ſimilitudine, e quaſi a una for-<lb/>ma ſola. </s>
  <s xml:id="echoid-s2270" xml:space="preserve">Et a me, diſſi, pajon più belle per quel-<lb/>le tante, e così varie forme, che hanno. </s>
  <s xml:id="echoid-s2271" xml:space="preserve">Ma ben <lb/>m’ accorgo, che voi volete farmi diſubbidire alla <lb/>Signora Principeſsa, traendomi così a poco a po-<lb/>co nel diſcorſo della ſemplicità, della quale l’ ana-<lb/>logia è come una conſeguenza. </s>
  <s xml:id="echoid-s2272" xml:space="preserve">Io dunque per non <lb/>commettere così grave colpa, dirò della analogia <lb/>brevemente, ſenza toccare il principio della ſem-<lb/>plicità, e ſol quanto baſta per riſpondere all’ ar-<lb/>gomento da voi propoſto. </s>
  <s xml:id="echoid-s2273" xml:space="preserve">Io dico dunque, che <lb/>argomentando dall’ analogia, ſi argomenta aſsai <lb/>bene e con qualcheprobabilità, ſeconoſcendo noi, <lb/>due coſe eſſer ſimili in moltiſſime proprietà, così <lb/>che pajano d’ un’ iſteſsa ſpezie, concludiamo, do-<lb/>vere eſser ſimili anche in una proprietà, che ſap-<lb/>piamo convenire all’ una, et è quiſtione, ſe conven-<lb/>ga anche all’ altra; </s>
  <s xml:id="echoid-s2274" xml:space="preserve">e così da molte proprietà argo-<lb/>mentiamo di una. </s>
  <s xml:id="echoid-s2275" xml:space="preserve">L’ argomento però ſarebbe aſsai <lb/>debole, ſe da una voleſſimo argomentar di molte. <lb/></s>
  <s xml:id="echoid-s2276" xml:space="preserve">E per venire al propoſito io non ſo in verità, con <lb/>quanta ſicurezza conchiuder ſi poſsa, che due po-<lb/>tenze eſsendo ſimili in queſta ſola proprietà di e-<lb/>ſercitar amendue una preſſione continva et eguale, <lb/>debban per ciò eſser ſimili in tutte; </s>
  <s xml:id="echoid-s2277" xml:space="preserve">e perchè l’una <lb/>produce le velocità proporzionate ai tempi, così <lb/>debba far’ anche l’ altra. </s>
  <s xml:id="echoid-s2278" xml:space="preserve">Senza che dalla analo-<lb/>gia può naſcere probabilità alcuna, non può mai <lb/>naſcere alcuna evidenza. </s>
  <s xml:id="echoid-s2279" xml:space="preserve">Voi ſiete, diſse allora <lb/>il Signor D. </s>
  <s xml:id="echoid-s2280" xml:space="preserve">Serao, un logico troppo faſtidiofo;</s>
  <s xml:id="echoid-s2281" xml:space="preserve">
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e certo che dalla analogia non naſcon mai dimo-<lb/>ſtrazioni così evidenti, come quelle dei geome-<lb/>tri ſono; </s>
  <s xml:id="echoid-s2282" xml:space="preserve">ma ben ſe ne cavano argomenti tanto <lb/>probabili, che di pochiſſimo cedono all’ eviden-<lb/>za. </s>
  <s xml:id="echoid-s2283" xml:space="preserve">E queſti argomenti, riſpoſi io, ſono quelli, che <lb/>ſi deducono da un numero quaſi immenſo di pro-<lb/>prietà, non quelli, che ſi deducono da una proprietà <lb/>ſola, come è il voſtro; </s>
  <s xml:id="echoid-s2284" xml:space="preserve">nel quale perchè la gravità e <lb/>l’elaſticità ſi credono avere una proprietà comune, <lb/>volete argomentare per analogia, che le abbiano <lb/>tutte. </s>
  <s xml:id="echoid-s2285" xml:space="preserve">Ma come potrebbe argomentarſi altrimen-<lb/>ti, diſſe il Signor D. </s>
  <s xml:id="echoid-s2286" xml:space="preserve">Serao, ſe l’ oſſervazione non <lb/>ci ha fatto conoſcere in loro ſe non una ſola pro-<lb/>prietà comune ad amendue, che è quella di eſer-<lb/>citare una preſſione eguale e continva? </s>
  <s xml:id="echoid-s2287" xml:space="preserve">Non sò, riſ-<lb/>poſi, ſe l’ oſſervazione ci abbia fatto conoſcere ne <lb/>pur queſta. </s>
  <s xml:id="echoid-s2288" xml:space="preserve">Ma quando bene ciò foſſe, non do-<lb/>vrebbe però da una ſola proprietà argomentarſi di <lb/>tutte l’ altre; </s>
  <s xml:id="echoid-s2289" xml:space="preserve">e dovrebbe in tal caſo il filofofo a-<lb/>ſtenerſi più toſto da ogni argomentazione, che far-<lb/>ne una con tanto pericolo. </s>
  <s xml:id="echoid-s2290" xml:space="preserve">Pure non ſarebbe egli <lb/>meglio, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2291" xml:space="preserve">Serao, avendo <lb/>noi oſſervate le leggi della gravità, comporre ſe-<lb/>condo le iſteſſe leggi ancor le altre potenze; </s>
  <s xml:id="echoid-s2292" xml:space="preserve">e co-<lb/>sì indurre nella natura quella bella conformità, <lb/>che rende tutte le coſe più chiare, e più comode, <lb/>e più ſemplici? </s>
  <s xml:id="echoid-s2293" xml:space="preserve">Di queſto, diſſi, abbiam parlato <lb/>abbaſtanza queſta mattina. </s>
  <s xml:id="echoid-s2294" xml:space="preserve">Ma voi fareſte meglio <lb/>ad eſporci quel voſtro argomento, che avete detto <lb/>voler dedurre da una ſerie ſola di elaſtri; </s>
  <s xml:id="echoid-s2295" xml:space="preserve">che an-
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darmi tentando a diſubbidire alla Signora Princi-<lb/>peſſa; </s>
  <s xml:id="echoid-s2296" xml:space="preserve">la qual dovrebbe doppiamente caſtigarvi, e <lb/>per quella diſubbidienza, che avete fatta voi, en-<lb/>trando nel diſcorſo della ſemplicità, e per quella, <lb/>che volevate, che io faceſſi. </s>
  <s xml:id="echoid-s2297" xml:space="preserve">Allora la Signora <lb/>Principeſſa, egli, diſſe, vi ha tentato non per farvi <lb/>diſubbidire, ma perchè, reſiſtendo voi alla tenta-<lb/>zione, dimoſtraſte meglio la voſtra obbedienza; </s>
  <s xml:id="echoid-s2298" xml:space="preserve">il <lb/>che avendo voi fatto, io debbo lodar voi, e rin-<lb/>graziar lui. </s>
  <s xml:id="echoid-s2299" xml:space="preserve">Vegga però il Signor D. </s>
  <s xml:id="echoid-s2300" xml:space="preserve">Serao, diffi <lb/>io allora, di non tentarmi più fpeſſo. </s>
  <s xml:id="echoid-s2301" xml:space="preserve">E ſe egli il <lb/>farà, diſſe la Signora Principeſſa, voi moſtrerete <lb/>la virtù voſtra più ſpeſſo. </s>
  <s xml:id="echoid-s2302" xml:space="preserve">Ne io voglio però libe-<lb/>rarvi da un peſo, che voi ſteſſo vi avete impoſto, <lb/>e a cui pare, che vogliate ora ſottrarvi. </s>
  <s xml:id="echoid-s2303" xml:space="preserve">Qual’ è? <lb/></s>
  <s xml:id="echoid-s2304" xml:space="preserve">diſſi. </s>
  <s xml:id="echoid-s2305" xml:space="preserve">Voi, diſſe la Signora Principeſſa, avete pro-<lb/>poſto due coſe; </s>
  <s xml:id="echoid-s2306" xml:space="preserve">l’ una è, che la velocità del globo <lb/>N giunto in <emph style="it">r</emph> non ſi dimoſtri eſſer doppia della <lb/>velocità del globo C giunto in <emph style="it">m</emph>; </s>
  <s xml:id="echoid-s2307" xml:space="preserve">l’ altra è, che <lb/>quand’ anche foſſe doppia, pur non ſi dimoſtrereb-<lb/>be, che oltre la potenza producitrice del movi-<lb/>mento doveſſe intervenirvi la forza viva di Lei-<lb/>bnizio; </s>
  <s xml:id="echoid-s2308" xml:space="preserve">delle quali due coſe voi avete dichiarato <lb/>la prima, reſta che dichiariate la ſeconda. </s>
  <s xml:id="echoid-s2309" xml:space="preserve">Come a-<lb/>vrete ciò fatto, il Signor D. </s>
  <s xml:id="echoid-s2310" xml:space="preserve">Serao eſporrà l’ ar-<lb/>gomento, che voi domandate. </s>
  <s xml:id="echoid-s2311" xml:space="preserve">Vedete, diſſi io al-<lb/>lora, ſe io ſono bel parlatore, che di due ſole co-<lb/>ſe, che io aveva propoſte, una già m’ era caduta <lb/>di mente. </s>
  <s xml:id="echoid-s2312" xml:space="preserve">Faccendoſi cotali ragionamenti, erano <lb/>già, ſenza che noi ce ne accorgeſſimo, alquanto
<pb o="166" file="0190" n="190" rhead="DELLA FORZA DE’ CORPI"/>
creſciuti il vento, e il mare; </s>
  <s xml:id="echoid-s2313" xml:space="preserve">perchè il governator <lb/>della nave fece chiedere alla Signora Principeſſa <lb/>ſe voleſse andar più avanti; </s>
  <s xml:id="echoid-s2314" xml:space="preserve">et ella a me rivolta mi <lb/>domandò, ſe quel cammino mi deſse moleſtia; </s>
  <s xml:id="echoid-s2315" xml:space="preserve">et <lb/>avendo io rilpoſto, che anzi grandiſſimamente mi <lb/>dilettava, diede ordine al governatore, che andaf <lb/>ſe oltre ſeguendo il vento, e così diſpenſaſse tutto <lb/>quel giro, che la ſera poteſſimo eſsere a Pozzuo-<lb/>lo. </s>
  <s xml:id="echoid-s2316" xml:space="preserve">E già naſcoſtociſi quaſi del tutto il vago aſpetto <lb/>di Napoli, cominciavano a coprirſi le umili, e di-<lb/>lettoſe rive di Baja, ne più vedevanſi ſe non da <lb/>lungi le verdeggianti cime del ſempre lieto Pauſi-<lb/>lipo, e della ridente Mergillina. </s>
  <s xml:id="echoid-s2317" xml:space="preserve">Quando io, a-<lb/>vendo un poco vagheggiato con gliocchi l’ immen-<lb/>ſo ſpazio del mare, che ormai da tutte le parti <lb/>vieppiù allargavaſi, rivolto a compagni, eccomi, <lb/>diſſi, diſpoſto a pagar quel debito, che m’ era uſci-<lb/>to della mente; </s>
  <s xml:id="echoid-s2318" xml:space="preserve">di che mi ſpedirò ſubito, come <lb/>buon pagatore, e con poche parole. </s>
  <s xml:id="echoid-s2319" xml:space="preserve">Io voglio <lb/>dunque concedere ciò, che fino ad ora ho negato, <lb/>che le ſerie nel loro aprirſi premano i globiegual-<lb/>mente; </s>
  <s xml:id="echoid-s2320" xml:space="preserve">che ſeguano a premerli egualmenteper tut-<lb/>ti li ſpazie<unsure/>tti N<emph style="it">r</emph>, C<emph style="it">m</emph>; </s>
  <s xml:id="echoid-s2321" xml:space="preserve">che gli facciano correre <lb/>ſecondo le leggi della gravità; </s>
  <s xml:id="echoid-s2322" xml:space="preserve">e che ſcorrendo l’ un <lb/>d’ eſſi lo ſpazio N<emph style="it">r</emph> qnadruplo, e mettendovi tem-<lb/>po doppio, vi acquiſti doppia velocità. </s>
  <s xml:id="echoid-s2323" xml:space="preserve">Non può <lb/>egli farſi tutto ciò per una preſſione producitrice <lb/>della velocità ſenza più? </s>
  <s xml:id="echoid-s2324" xml:space="preserve">Imperocchè ſe amendue <lb/>le ſerie premono i globi egualmente, quanto è fa-<lb/>c<unsure/>ile, che ſeguitando l’ una a premere per tempo
<pb o="167" file="0191" n="191" rhead="LIBRO II."/>
doppio produca con la ſua preſſione doppia velo-<lb/>cità? </s>
  <s xml:id="echoid-s2325" xml:space="preserve">Che neceſſità ha egli qui di quella forza viva <lb/>di Leibnizio? </s>
  <s xml:id="echoid-s2326" xml:space="preserve">La qual ſe poteſſe dimoſtrarſi dal mo-<lb/>vimento dei due globi<unsure/> per li ſpazietti N<emph style="it">r</emph>, C<emph style="it">m</emph>, po-<lb/>teva all’ iſteſſo modo, anzi più comodamente, di-<lb/>moſtrarſi dalla caduta di due gravi, l’ un de qua-<lb/>li cadeſſe per uno ſpazio quadruplo dell’ altro; </s>
  <s xml:id="echoid-s2327" xml:space="preserve">ne <lb/>accadea far violenza all’ immaginativa, ſtringen-<lb/>dola a concepire elaſtri immateriali, et<unsure/> incorpo-<lb/>rei, ne ricorrere a linee curve, ne metter mano <lb/>a calcoli, ne a integrazioni. </s>
  <s xml:id="echoid-s2328" xml:space="preserve">E poco vale il dire, <lb/>che l’ effetto dee eſſere proporzionale alla cauſa; <lb/></s>
  <s xml:id="echoid-s2329" xml:space="preserve">e però eſſendo l’ una ſerie quadrupla dell’ altra, <lb/>dover uſcirne effetto non doppio ma quadruplo, <lb/>e queſto eſſere la forza viva. </s>
  <s xml:id="echoid-s2330" xml:space="preserve">Imperocchè chi<unsure/> non <lb/>ſn<unsure/>, che qualor ſi dice, l’effetto dover eſſere pro-<lb/>porzionale alla cauſa, non altro vuolſi intendere, <lb/>ſe non che dee eſſere proporzionale all’ azione? </s>
  <s xml:id="echoid-s2331" xml:space="preserve"><lb/>che ſe due cauſe eſerciteranno azioni eguali, do-<lb/>vranno uſcirne eguali effetti, come che le cauſe ſieno <lb/>diſeguali. </s>
  <s xml:id="echoid-s2332" xml:space="preserve">Ora quantunque la ſerie EN ſia quadrupla <lb/>della AC, non dicono però i Bernulliani, che pre-<lb/>mono amendue egualmente? </s>
  <s xml:id="echoid-s2333" xml:space="preserve">Perchè dunque non do-<lb/>vranno dalle eguali preſſioni uſcire eguali velocità? </s>
  <s xml:id="echoid-s2334" xml:space="preserve"><lb/>ſe non che ſeguendo la ſerie EN a premere per dop-<lb/>pio tempo, dovrà uſcirne velocirà doppia. </s>
  <s xml:id="echoid-s2335" xml:space="preserve">Ma dirà <lb/>alcuno: </s>
  <s xml:id="echoid-s2336" xml:space="preserve">le ſerie oltre il premere, che è veramen-<lb/>te eguale in amendue, hanno anche un’ altra azio-<lb/>ne, che è quadrupla nella ſerie quadrupla. </s>
  <s xml:id="echoid-s2337" xml:space="preserve">Et io <lb/>riſpondo, e dimando, che neceſſità v’ abbia di ag-
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giungere queſta nuova azione alla preſſione; </s>
  <s xml:id="echoid-s2338" xml:space="preserve">e <lb/>che mal ſarebbe, ſe noi diceſſimo, le due ſerie <lb/>non far’ altro che premere? </s>
  <s xml:id="echoid-s2339" xml:space="preserve">Certo che eſſendo gli <lb/>elaſtri, di cui parliamo, incorporei e immateriali, <lb/>non altra forma hanno, che di pure, e ſemplici <lb/>preſſioni, in cui niente altro può intenderſi, ſe <lb/>non l’ atto iſteſſo del premere. </s>
  <s xml:id="echoid-s2340" xml:space="preserve">Sebbene par, che <lb/>talvolta dimenticandoſi i Bernulliani di aver pro-<lb/>poſto elaſtri immateriali, e’ tornino, ſenza avve-<lb/>derſene, alla materia, dicendo, che debbon pure <lb/>gli elaſtri comunicare, e trasfonder nei globi, e <lb/>traſmettere quella forza viva, che hanno; </s>
  <s xml:id="echoid-s2341" xml:space="preserve">impe-<lb/>rocchè quale aver ne poſſono, ſe ella miſuraſi an-<lb/>cor dalla maſſa, ed eſſi, eſſendo immateriali, non <lb/>han maſſa niuna? </s>
  <s xml:id="echoid-s2342" xml:space="preserve">E poi, che neceſſità v’ ha egli <lb/>di volere, che negli elaſtri, oltre l’ atto del pre-<lb/>mere, ſia ancora una cotal forza viva, che a nul-<lb/>la ſerve? </s>
  <s xml:id="echoid-s2343" xml:space="preserve">Ma mettiamo ancora, che eſſendo quat-<lb/>tro gli elaſtri, oltre il premer che fanno, debba-<lb/>no avere un’ altra azion quadrupla, da cui na-<lb/>ſcer debba un effetto quadruplo, diſtinto dalla <lb/>velocità. </s>
  <s xml:id="echoid-s2344" xml:space="preserve">Chi però mi dimoſtra, che tale effetto <lb/>eſſer debba una forza? </s>
  <s xml:id="echoid-s2345" xml:space="preserve">Oh che altro ſarebbe egl<unsure/>i? <lb/></s>
  <s xml:id="echoid-s2346" xml:space="preserve">diſſe allora il Signor D. </s>
  <s xml:id="echoid-s2347" xml:space="preserve">Serao. </s>
  <s xml:id="echoid-s2348" xml:space="preserve">Et io, perchè, <lb/>diſſi, non potrebbe eſſere qualſiſia altra forma, o <lb/>accidente, o qualità, la qual non produceſſe nul-<lb/>la, e non producendo nulla, non meritaſſe pure <lb/>il nome di forza? </s>
  <s xml:id="echoid-s2349" xml:space="preserve">Eccovi, diſſe il Signor D. </s>
  <s xml:id="echoid-s2350" xml:space="preserve">Se-<lb/>rao, un’ effetto, che produr potrebbe. </s>
  <s xml:id="echoid-s2351" xml:space="preserve">Egli è <lb/>certo, che come il globo N è ſtato ſpinto per l’
<pb o="169" file="0193" n="193" rhead="LIBRO II."/>
urto della ſerie da N fino in O, ſe egli con quel-<lb/>la ſteſſa velocità, che ha in O, tornaſſe indietro, <lb/>reſpignerebbe la ſerie da O fino in N; </s>
  <s xml:id="echoid-s2352" xml:space="preserve">e in que-<lb/>ſto perderebbe tutto il ſuo movimento. </s>
  <s xml:id="echoid-s2353" xml:space="preserve">Vedete <lb/>dunque, che egli eſſendo ſpinto dalla ſerie per lo <lb/>ſpazio NO, acquiſta una virtù di reſpignerla per <lb/>lo ſteſſo ſpazio, e chiuderla altrettanto, quanto <lb/>ſi apr<unsure/>ì. </s>
  <s xml:id="echoid-s2354" xml:space="preserve">E queſta virtù è la forza viva, della qua-<lb/>le ſe mi chiedete gli effetti, uno può eſſerne il <lb/>chiuder la ſerie, e ridurla a quella ſtrettezza, in <lb/>cui era prima. </s>
  <s xml:id="echoid-s2355" xml:space="preserve">Voi dite vero, riſpoſi; </s>
  <s xml:id="echoid-s2356" xml:space="preserve">ne io ne-<lb/>go, che ſe il globo, tornando indietro, compri-<lb/>me la ſerie da O fino in N, queſta compreſſio-<lb/>ne poſſa prenderſi, ſe voi volete, come un’ ef-<lb/>fetto, immaginando nel globo una forza ad eſſo <lb/>riſpondente; </s>
  <s xml:id="echoid-s2357" xml:space="preserve">in quell’ iſteſſa maniera, che eſsen-<lb/>do un corpo caduto da una certa altezza, e po-<lb/>tendo con quella velocità, che ha acquiſtata, ſa-<lb/>lir di nuovo alla altezza medeſima, niente impe-<lb/>diſce, che tal ſalita ſi prenda, come un effetto, e <lb/>ſi immagini nel corpo una forza, che ad eſso riſ-<lb/>ponda. </s>
  <s xml:id="echoid-s2358" xml:space="preserve">E di tali forze, quante poſſiamo immagi-<lb/>narcene a piacer noſtro! Noi però non quelle for-<lb/>ze cerchiamo, che eſser poſsono nella noſtra im-<lb/>maginazione, ma quelle, che ſono nella natura; <lb/></s>
  <s xml:id="echoid-s2359" xml:space="preserve">e conſiderando queſte ſolamente, ſiccome il corpo <lb/>riſale a quella altezza, da cui cadde, non per una <lb/>particolar forza, che produca il ſalire, ma per un <lb/>movimento, che egli ha, e che la gravità va in lui <lb/>diſtruggendo a poco a poco; </s>
  <s xml:id="echoid-s2360" xml:space="preserve">così il noſtro globo,
<pb o="170" file="0194" n="194" rhead="DELLA FORZA DE’ CORPI"/>
tornando da O in N, chiude la ſerie, non per una <lb/>particolar forza, che produca il chiudere, ma per <lb/>quel movimento, che egli ha, e che l’elaſticità del-<lb/>la ſerie va in lui diſtruggendo a poco a poco, ne <lb/>ha finito di diſtruggerlo, ſe non come egli è giun-<lb/>to in N. </s>
  <s xml:id="echoid-s2361" xml:space="preserve">Onde ſi vede, che ſcorrendo il globo da <lb/>N fino in O, l’elaſticità della ſerie produce in lui <lb/>quel movimento, cui poſcia diſtrugge, tornando <lb/>egli<unsure/> da O fino in N; </s>
  <s xml:id="echoid-s2362" xml:space="preserve">i<unsure/>l che tutto può compierſi <lb/>per una ſola potenza ora producitrice del movi-<lb/>mento, et ora diſtruggitrice. </s>
  <s xml:id="echoid-s2363" xml:space="preserve">Per la qual coſa, <lb/>quand’ anche per la ſpinta degli elaſtri naſcer do-<lb/>veſſe nel globo N una quali<unsure/>tà nuova, la qual foſſe <lb/>quattro volte maggiore di quella, che naſce nel <lb/>globo C, io non ſaprei, quale effetto doveſſe at-<lb/>tribuirſele; </s>
  <s xml:id="echoid-s2364" xml:space="preserve">e ſe niuno effetto dee attribuirſele, e <lb/>s’ ella è pur nata per non far nulla, perchè la chia-<lb/>meremo noi forza? </s>
  <s xml:id="echoid-s2365" xml:space="preserve">L’ inerzia, diſſe quivi la Si-<lb/>gnora Principeſſa, potrebbe eſſere una forza viva <lb/>di queſta natura; </s>
  <s xml:id="echoid-s2366" xml:space="preserve">tantochè pare che il Padre Ric-<lb/>cati non abbia fatto male a conſtituire la forza vi-<lb/>va nell’ i<unsure/>nerzia. </s>
  <s xml:id="echoid-s2367" xml:space="preserve">Non ſo però, riſpoſi io, ſe il Pa-<lb/>dre Riccati foſſe per dire, che quattro elaſtri, pro-<lb/>ducendo nel globo N velocità doppia, doveſſer <lb/>produrvi inerzia quadrupla. </s>
  <s xml:id="echoid-s2368" xml:space="preserve">Ma voi vi prendete <lb/>gioco di me. </s>
  <s xml:id="echoid-s2369" xml:space="preserve">Et io credo, che meglio ſarebbe di <lb/>udire quell’ altra difficoltà, che il Signor D. </s>
  <s xml:id="echoid-s2370" xml:space="preserve">Serao <lb/>ha promeſſo di eſporci, deducendola da una ſerie <lb/>ſola di elaſtri; </s>
  <s xml:id="echoid-s2371" xml:space="preserve">e che io deſidero grandemente di <lb/>intendere. </s>
  <s xml:id="echoid-s2372" xml:space="preserve">Se voi diceſte, ripigliò allora il Signor
<pb o="171" file="0195" n="195" rhead="LIBRO II."/>
D. </s>
  <s xml:id="echoid-s2373" xml:space="preserve">Serao, che quella non foſſe e molto ingegnoſa, <lb/>e molto bella, e molto forte, fareſte ingiuria al <lb/>chiariſſimo, e incomparabil Bernulli, che già la <lb/>propoſe negli atti di Liſpia dell’ anno 1735; </s>
  <s xml:id="echoid-s2374" xml:space="preserve">ne <lb/>dubitò di anteporla, come argomento invittiſſimo, <lb/>a tutte le ragioni, che addur ſi poteſſero per di-<lb/>moſtrare la forza viva di Leibnizio. </s>
  <s xml:id="echoid-s2375" xml:space="preserve">E’forſe quel-<lb/>la, diſſi io, che egli adduſſe in un ſuo ſottiliſſimo ra-<lb/>gionamento, nel qual preſe a ſpiegare la vera no-<lb/>zione della forza viva, e conchiuſe dover lei eſſe-<lb/>re una cotal forza ſoſtanziale? </s>
  <s xml:id="echoid-s2376" xml:space="preserve">Quella appunto, diſ-<lb/>ſe allora il Signor D. </s>
  <s xml:id="echoid-s2377" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s2378" xml:space="preserve">e pare, che voi l’ ab-<lb/>biate preveduta; </s>
  <s xml:id="echoid-s2379" xml:space="preserve">tante coſe avete ultimamente det-<lb/>te, che pajono dette a poſta per oſcurarne la <lb/>chiarezza e lo ſplendore; </s>
  <s xml:id="echoid-s2380" xml:space="preserve">il che però faccendo, <lb/>e quaſi premunendovi, avete moſtrato di aver-<lb/>ne qualche paura; </s>
  <s xml:id="echoid-s2381" xml:space="preserve">ne io mi rimarrò di dirla, <lb/>benchè voi abbiate così mal diſpoſto gli animi <lb/>di queſti Signori ad aſcoltarla. </s>
  <s xml:id="echoid-s2382" xml:space="preserve">Avendo così detto <lb/>il Signor D. </s>
  <s xml:id="echoid-s2383" xml:space="preserve">Serao, et eſſendoſi riſo alquanto, ſog-<lb/>giunſe: </s>
  <s xml:id="echoid-s2384" xml:space="preserve">egli mi converrà, s’ io voglio eſſer chia-<lb/>ro, aggiungere una terza figura a quelle due, che <lb/>avete già per le mani; </s>
  <s xml:id="echoid-s2385" xml:space="preserve">e tratto fuori calamajo, e <lb/>penna di<unsure/>ſegnò una figura, di cui toſto furono <lb/>fatte più copie, acciocchè poteſſe ciaſcuno aver-<lb/>ne una dinanzi agli occhi. </s>
  <s xml:id="echoid-s2386" xml:space="preserve">Il che come fù fatto, <lb/>incominciò il Signor D. </s>
  <s xml:id="echoid-s2387" xml:space="preserve">Serao, riguardando nel-<lb/>la figura ſteſſa, a dire: </s>
  <s xml:id="echoid-s2388" xml:space="preserve">ſia AL una ſerie compo-<lb/>
<anchor type="note" xlink:label="note-0195-01a" xlink:href="note-0195-01"/>
ſta di cinque elaſtri, i quali, per non perder tem-<lb/>po a deſcriverli, voglio, che ſieno quei medeſi-
<pb o="172" file="0196" n="196" rhead="DELLA FORZA DE’ CORPI"/>
mi, onde ſi compoſero le due ſerie, di cui s’ è <lb/>fin ora parlato. </s>
  <s xml:id="echoid-s2389" xml:space="preserve">Queſta ſerie AL ſi appoggi dall’ <lb/>una parte al globo A, dall’ altra al globo L, e <lb/>ſia la maſſa del globo A 4, la maſſa del globo L <lb/>1; </s>
  <s xml:id="echoid-s2390" xml:space="preserve">e ſieno amendue i globi da principio trattenuti <lb/>per due potenze eſtrinſeche così che ſtando fermi <lb/>et immobili, ſtringan la ſerie, e l’ obblighino a ſtar-<lb/>ſi ferma et immobile eſſa pure AL. </s>
  <s xml:id="echoid-s2391" xml:space="preserve">Stando le co-<lb/>ſe in queſti termini, egli è chiaro, che la ſerie <lb/>premerà egualmente l’ uno, e l’ altro globo, non <lb/>eſſendo ragion niuna, perchè più l’ uno premer <lb/>debba che l’ altro. </s>
  <s xml:id="echoid-s2392" xml:space="preserve">Che ſe ad un tratto ſi levino <lb/>via le potenze, che abbiamo detto, aprendoſi ad <lb/>un tempo et egualmente gli elaſtri tutti, ſi allarghe-<lb/>rà toſto la ſerie dall’ una, e dall’ altra parte, ſpin-<lb/>gendo amendue i globi egualmente; </s>
  <s xml:id="echoid-s2393" xml:space="preserve">ne ceſſerà di <lb/>ciò fare infino a tanto, che ſia giunta alla ſua natu-<lb/>ral larghezza. </s>
  <s xml:id="echoid-s2394" xml:space="preserve">Donde facilmente può intenderſi, <lb/>che ricevendo ſempre 1 due globi, durante la dila-<lb/>tazion della ſerie, eguali impulſi, avranno ſempre <lb/>egual movimento. </s>
  <s xml:id="echoid-s2395" xml:space="preserve">Non andrò dietro alle altre <lb/>proprietà tutte di queſta ſerie, che ſono v@ramen-<lb/>te vaghe, e leggiadre; </s>
  <s xml:id="echoid-s2396" xml:space="preserve">una ſolo ne noterò, che cre-<lb/>do eſſer neceſſaria al mio intendimento, ed è: <lb/></s>
  <s xml:id="echoid-s2397" xml:space="preserve">La maſſa del globo A, come abbiam detto di <lb/>ſopra, è quadrupla della maſſa del globo L; </s>
  <s xml:id="echoid-s2398" xml:space="preserve">eſ-<lb/>ſendo dunque da principio i globi diſtanti tra lo-<lb/>ro per la linea AL, ſe noi divideremo eſſa linea <lb/>AL in alcun punto C per modo, che la parte CL <lb/>ſia quadrupla della parte CA; </s>
  <s xml:id="echoid-s2399" xml:space="preserve">verrà il centro co-
<pb o="173" file="0197" n="197" rhead="LIBRO II."/>
mune della gravità dei globi a cadere in eſſo pun-<lb/>to C. </s>
  <s xml:id="echoid-s2400" xml:space="preserve">E ſi rimarrà poi ſempre quivi, per quanto, <lb/>allargandoſi la ſerie, ſcorrano via i globi, e la. <lb/></s>
  <s xml:id="echoid-s2401" xml:space="preserve">diſtanza loro AL vadaſi vieppiù accreſcendo; </s>
  <s xml:id="echoid-s2402" xml:space="preserve">eſ-<lb/>ſendo coſa notiſſima tra i meccanici, che ſe due <lb/>corpi, ſi fuggon l’ un altro per la ſteſſa linea, a-<lb/>vendo ſempre l’un di loro tanta quantità di moto, <lb/>quanta ne ha l’ altro, il centro comune della lor <lb/>gravità ſi riman ſempre la dove era. </s>
  <s xml:id="echoid-s2403" xml:space="preserve">E’dunque chia-<lb/>ro che fuggendoſi i due globi A et L, e rimanen-<lb/>doſi ſempre il centro della gravità loro in C, do-<lb/>vrà anche ſempre la diſtanza CL rimaner quadru-<lb/>pla della diſtanza CA. </s>
  <s xml:id="echoid-s2404" xml:space="preserve">10 non sò, ſe io abbia <lb/>detto con aſſai chiarezza; </s>
  <s xml:id="echoid-s2405" xml:space="preserve">pure il vorrei. </s>
  <s xml:id="echoid-s2406" xml:space="preserve">Però ſe <lb/>alcun di voi aveſſe deſiderio di maggior lume, io <lb/>il prego a dirlomi; </s>
  <s xml:id="echoid-s2407" xml:space="preserve">dico deſiderio, perchè ſo, che <lb/>biſogno non ne avete. </s>
  <s xml:id="echoid-s2408" xml:space="preserve">Eſſendoſi qui taciuto il <lb/>Signor D. </s>
  <s xml:id="echoid-s2409" xml:space="preserve">Serao, e tacendoſi ſimilmente gli altri, <lb/>queſto ſilenzio, diſſe la Signora Principeſſa, aſ-<lb/>ſai vi dimoſtra, che non ne abbiamo ne biſogno <lb/>ne deſiderio; </s>
  <s xml:id="echoid-s2410" xml:space="preserve">così avete voi pienamente ſoddisfat-<lb/>to all’ uno et all’ altro. </s>
  <s xml:id="echoid-s2411" xml:space="preserve">Però potete proſeguire. </s>
  <s xml:id="echoid-s2412" xml:space="preserve"><lb/>Allora il Signor D. </s>
  <s xml:id="echoid-s2413" xml:space="preserve">Serao ricominciò in tal guiſa: </s>
  <s xml:id="echoid-s2414" xml:space="preserve"><lb/>eſſendo per le coſe dette la diſtanza CL ſempre <lb/>quadrupla della diſtanza CA, egli è manifeſto, <lb/>che de i cinque elaſtri, che forman la ſerie, ne <lb/>dovranno ſempre eſſer quattro ſopra CL, ſopra <lb/>CA uno ſolo; </s>
  <s xml:id="echoid-s2415" xml:space="preserve">perciocchè non potrebbono diſ-<lb/>porſi altramente, dovendo eſſer tutti ſempre e-<lb/>gualmente aperti, e dilatati. </s>
  <s xml:id="echoid-s2416" xml:space="preserve">Onde appariſce chia-
<pb o="174" file="0198" n="198" rhead="DELLA FORZA DE’ CORPI"/>
ramente dovere un certo punto della ſerie rima-<lb/>nerſi immobile, e queſto eſſere il punto C, in cui <lb/>è il centro ſteſſo della gravità dei globi; </s>
  <s xml:id="echoid-s2417" xml:space="preserve">e rima-<lb/>nendoſi eſſo immobile, verrà la ſerie tutta ad eſ-<lb/>ſer ſempre diviſa in due parti, l’ una delle qua-<lb/>li ſi ſcaglierà da C verſo L, l’ altra da C verſo <lb/>A, quella quadrupla di queſta. </s>
  <s xml:id="echoid-s2418" xml:space="preserve">Le quali coſe ſo-<lb/>no chiariſſime, ſe io già, dicendole troppo ſtret-<lb/>tamente, non le aveſſi fatte oſcure. </s>
  <s xml:id="echoid-s2419" xml:space="preserve">Qui parve, <lb/>che il Signor D. </s>
  <s xml:id="echoid-s2420" xml:space="preserve">Serao ſi fermaſſe di nuovo. </s>
  <s xml:id="echoid-s2421" xml:space="preserve">Al-<lb/>lora il Signor Marcheſe di Campo Hermoſo, mi <lb/>par, diſse, che tutto abbiate eſpoſto chiariſſima-<lb/>mente; </s>
  <s xml:id="echoid-s2422" xml:space="preserve">ſolo vorrei, che mi eſponeſte una coſa, <lb/>che non avete detta. </s>
  <s xml:id="echoid-s2423" xml:space="preserve">Qual è? </s>
  <s xml:id="echoid-s2424" xml:space="preserve">diſse il Signor D. <lb/></s>
  <s xml:id="echoid-s2425" xml:space="preserve">Serao. </s>
  <s xml:id="echoid-s2426" xml:space="preserve">Voi, riſpoſe allora il Signor Marcheſe, <lb/>avete ſuppoſta una proporzion molto comoda, <lb/>ſupponendo il globo A quadruplo del globo L; </s>
  <s xml:id="echoid-s2427" xml:space="preserve"><lb/>perchè così il centro di gravità C ſi trova eſſere <lb/>un punto, per cui paſſa la ſerie ſteſſa, appoggian-<lb/>doviſi con due lati BC, DC. </s>
  <s xml:id="echoid-s2428" xml:space="preserve">Ora io vorrei ſa-<lb/>pere, ſe le coſe dette da voi doveſſero pur rima-<lb/>nere, o in qualche parte cangiaſſero, caſo che il <lb/>globo A non foſſe più quadruplo del globo L; </s>
  <s xml:id="echoid-s2429" xml:space="preserve"><lb/>ma gli aveſſe altra proporzione; </s>
  <s xml:id="echoid-s2430" xml:space="preserve">foſſe per eſem-<lb/>pio triplo; </s>
  <s xml:id="echoid-s2431" xml:space="preserve">onde il centro comune della gravi-<lb/>tà dei globi cadeſſe non più in C, ma in <emph style="it">t</emph>, per <lb/>dove la ſerie non paſſa. </s>
  <s xml:id="echoid-s2432" xml:space="preserve">Se il globo A, diſſe al-<lb/>lora il Signor D. </s>
  <s xml:id="echoid-s2433" xml:space="preserve">Serao, foſſe, come vi piace or <lb/>di ſupporre, triplo del globo L; </s>
  <s xml:id="echoid-s2434" xml:space="preserve">e il centro co-<lb/>mune della gravità foſse in <emph style="it">t</emph>, per dove la ſerie
<pb o="175" file="0199" n="199" rhead="LIBRO II."/>
non paſſa; </s>
  <s xml:id="echoid-s2435" xml:space="preserve">e voi dovreſte allora condurre la linea <lb/><emph style="it">tu</emph> perpendicolare ad AL; </s>
  <s xml:id="echoid-s2436" xml:space="preserve">poichè queſta linea <lb/>taglierebbe la ſerie in un punto <emph style="it">u</emph>, il qual <lb/>punto <emph style="it">u</emph>, allargandoſi poi quanto ſi voglia la <lb/>ſerie, rimarrebbe ſempre immobile; </s>
  <s xml:id="echoid-s2437" xml:space="preserve">non che <lb/>nell’ aprirſi, e dilatarſi viepiù gli elaſtri, non <lb/>doveſſe egli andar diſcendendo verſo <emph style="it">t</emph>, ma <lb/>ſempre ſi rimarrebbe nella ſteſſa linea <emph style="it">ut</emph>, ne <lb/>mai piegherebbe ne verſo A, ne verſo L; </s>
  <s xml:id="echoid-s2438" xml:space="preserve">ilche <lb/>ſe voi vorrete dimoſtrare (e potrete farlo faciliſ-<lb/>ſimamente) vi accorgerete ancora, che dividendo-<lb/>ſi tutta la ſerie dal punto <emph style="it">u</emph> in due parti, l’ una, <lb/>cioè <emph style="it">u</emph>EFGHIKL, ſi ſcaglierà contra il globo L, <lb/>l’ altra, cioè <emph style="it">u</emph>DCBA, ſi ſcaglierà contro il glo-<lb/>bo A; </s>
  <s xml:id="echoid-s2439" xml:space="preserve">e avrà la prima alla ſeconda quella ſteſſa <lb/>proporzione, che ha <emph style="it">t</emph>L a <emph style="it">t</emph>A, cioè ſarà tripla di <lb/>eſſa; </s>
  <s xml:id="echoid-s2440" xml:space="preserve">e ne ſeguiranno tutte le coſe dette di ſopra. <lb/></s>
  <s xml:id="echoid-s2441" xml:space="preserve">Ma a me piace ſupporre il globo A quadruplo del <lb/>globo L, onde il centro di gravità ſia in C; </s>
  <s xml:id="echoid-s2442" xml:space="preserve">eſ-<lb/>ſendo queſta ſuppoſizion comoda, quantunque <lb/>non neceſſaria. </s>
  <s xml:id="echoid-s2443" xml:space="preserve">Avendo il Signor Marcheſe mo-<lb/>ſtrato di contentarſi a queſte parole, il Signor D. </s>
  <s xml:id="echoid-s2444" xml:space="preserve"><lb/>Serao ſeguitò: </s>
  <s xml:id="echoid-s2445" xml:space="preserve">eſercitando la ſerie, come è detto, <lb/>nell’ uno e nell’ altro globo egual preſſione, do-<lb/>vrà ſenza dubio eccitarſi nell’ uno, e nell’ altro <lb/>egual quantità di movimento. </s>
  <s xml:id="echoid-s2446" xml:space="preserve">D’ altra parte eſ-<lb/>ſendo la cagione, che agiſce nel globo L, qua-<lb/>drupla di quella, che agiſce nel globo A; </s>
  <s xml:id="echoid-s2447" xml:space="preserve">percioc-<lb/>chè nel globo L agiſce tutta quella parte di ſerie, <lb/>che ſi ſcaglia da C verſo L, e nel globo A quel-
<pb o="176" file="0200" n="200" rhead="DELLA FORZA DE’ CORPI"/>
la parte, che ſi ſcaglia da C verſo A; </s>
  <s xml:id="echoid-s2448" xml:space="preserve">quindi è, <lb/>che l’ effetto, che ſi produce nel globo L, dee <lb/>eſſer quadruplo di quello, che ſi produce nel glo-<lb/>bo A. </s>
  <s xml:id="echoid-s2449" xml:space="preserve">Non può dunque tale effetto eſſere il mo-<lb/>vimento; </s>
  <s xml:id="echoid-s2450" xml:space="preserve">il quale abbiam veduto, che è eguale in <lb/>tutti e due i globi. </s>
  <s xml:id="echoid-s2451" xml:space="preserve">Sarà ben comodiſſimo il dire, <lb/>che eſſo ſia una cotal forza, la qual ſi miſuri mol-<lb/>tiplicando la maſſa perlo quadrato della velocità, <lb/>Come? </s>
  <s xml:id="echoid-s2452" xml:space="preserve">diſſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s2453" xml:space="preserve">Perchè, riſpoſe <lb/>il Signor D. </s>
  <s xml:id="echoid-s2454" xml:space="preserve">Serao, ſe voi immaginerete una tal <lb/>forza nell’ uno e nell’ altro globo, la troverete <lb/>appunto eſſer quadrupla nel globo L. </s>
  <s xml:id="echoid-s2455" xml:space="preserve">Non ab-<lb/>biamo noi detto, la maſſa del globo A eſſer 4; <lb/></s>
  <s xml:id="echoid-s2456" xml:space="preserve">la velocità 1? </s>
  <s xml:id="echoid-s2457" xml:space="preserve">Una forza dunque, che in lui foſ-<lb/>ſe, proporzionale alla maſſa moltiplicata per lo <lb/>quadrato della velocità, ſarebbe 4. </s>
  <s xml:id="echoid-s2458" xml:space="preserve">Abbiamo anche <lb/>detto, la maſſa del globo L eſser 1, la velocità 4, <lb/>una forza dunque, che in lui foſse proporzionale <lb/>alla maſſa moltiplicata per lo quadrato della ve-<lb/>locità, ſarebbe 16, e però quadrupla dell’ altra. </s>
  <s xml:id="echoid-s2459" xml:space="preserve"><lb/>Sarà dunque comodiſſimo il dire, che l’ effetto, <lb/>prodotto nel globo L, ſia, non già il movimento, <lb/>ma quella forza, che ho detto; </s>
  <s xml:id="echoid-s2460" xml:space="preserve">dovendo appunto <lb/>l’ effetto eſser quadruplo. </s>
  <s xml:id="echoid-s2461" xml:space="preserve">Ed ecco l’ argomento <lb/>famoſo di Bernulli, che io vi ho eſpoſto, così co-<lb/>me ho potuto, ſenza calcolo, e dirò così in mia <lb/>lingua. </s>
  <s xml:id="echoid-s2462" xml:space="preserve">Bernulli l’ eſpoſe in maniera diverſa, ſpie-<lb/>gandoſi col calcolo ſenza biſogno; </s>
  <s xml:id="echoid-s2463" xml:space="preserve">ma l’ algebra <lb/>s’ era fatta tanto famigliare a quel grand’ uomo, <lb/>che era, per così dir, divenuta il ſuo linguag-
<pb o="177" file="0201" n="201" rhead="LIBRO II."/>
gio. </s>
  <s xml:id="echoid-s2464" xml:space="preserve">Qui ſi tacque il Signor D. </s>
  <s xml:id="echoid-s2465" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s2466" xml:space="preserve">e ta-<lb/>cendomi io pure contra l’ eſpettazion di ognu-<lb/>no, la Signora Principeſſa dopo alquanto, a <lb/>me volgendoſi, diſſe: </s>
  <s xml:id="echoid-s2467" xml:space="preserve">che dite voi? </s>
  <s xml:id="echoid-s2468" xml:space="preserve">Io dico, ri-<lb/>ſpoſi, che il Signor D. </s>
  <s xml:id="echoid-s2469" xml:space="preserve">Serao fece aſſai bene a dire, <lb/>che io era premunito; </s>
  <s xml:id="echoid-s2470" xml:space="preserve">il che dicendo, abbaſtan-<lb/>za ha moſtrato di conoſcere quello, che io potrei <lb/>riſpondere; </s>
  <s xml:id="echoid-s2471" xml:space="preserve">ne credo, che ſia alcun di voi, che, <lb/>nol conoſca. </s>
  <s xml:id="echoid-s2472" xml:space="preserve">Oh voi direte, ripigliò allora il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s2473" xml:space="preserve">Serao, che la ſerie degli elaſtri altro non <lb/>fa, che premere i globi, e premendogli eccitare <lb/>in loro il movimento; </s>
  <s xml:id="echoid-s2474" xml:space="preserve">ogni altra azione, che in <lb/>eſſa ſi finga, eſſer vana et inutile. </s>
  <s xml:id="echoid-s2475" xml:space="preserve">Certo che, diſſi <lb/>io allora, ſe la ſerie preme i globi, e premendo-<lb/>gli ſa, che ſi movano, come veggiamo, che mo-<lb/>ver ſi debbono, io non ſo, che farmi di quell’ al-<lb/>tra azione, che i Bernulliani vi fingono; </s>
  <s xml:id="echoid-s2476" xml:space="preserve">ne cre-<lb/>do, che ve la ſingano, ſe non per farne uſcire <lb/>quella tal forza viva, di cui ſon vaghi. </s>
  <s xml:id="echoid-s2477" xml:space="preserve">A que-<lb/>ſto modo, diſſe il Signor D. </s>
  <s xml:id="echoid-s2478" xml:space="preserve">Serao, eſsendo i due <lb/>globi premuti dalla ſerie egualmente, et avendo <lb/>per ciò movimenti eguali, biſognerà dire, che <lb/>quattro elaſtri, di cui ſi compone la parte CL, e <lb/>che ſi adoprano contro il globo L, agiſcano quel-<lb/>lo ſteſso, che agiſce un’ elaſtro ſolo, di cui ſi com-<lb/>pone la parte CA, e che ſi adopra contro il glo-<lb/>bo A; </s>
  <s xml:id="echoid-s2479" xml:space="preserve">il che pare inconveniente. </s>
  <s xml:id="echoid-s2480" xml:space="preserve">Per sfuggir dun-<lb/>que tale inconveniente, ſarà bene il dire, che queſti <lb/>elaſtri hanno un’ altra azione, che non è il pre-<lb/>mere; </s>
  <s xml:id="echoid-s2481" xml:space="preserve">dalla qual poi naſce la forza viva. </s>
  <s xml:id="echoid-s2482" xml:space="preserve">E trove-
<pb o="178" file="0202" n="202" rhead="DELLA FORZA DE’ CORPI"/>
rete anche di quelli, i quali vi ſoſterranno che <lb/>il premere non è in alcun modo agire. </s>
  <s xml:id="echoid-s2483" xml:space="preserve">Piacemi, <lb/>riſpoſi io allora, che voi diate in queſte ſottigliez-<lb/>ze, perchè così non dovrete più dolervi delle mie. <lb/></s>
  <s xml:id="echoid-s2484" xml:space="preserve">Io intanto argomento di queſto modo. </s>
  <s xml:id="echoid-s2485" xml:space="preserve">Che i quat-<lb/>tro elaſtri, onde ſi compone la parte CL, faccia-<lb/>no nel globo L una preſſione eguale a quella, <lb/>che fa un’ elaſtro ſolo nel globo A, certo non dee <lb/>parervi inconveniente; </s>
  <s xml:id="echoid-s2486" xml:space="preserve">e l’ inſegnate voi ſteſso, <lb/>dicendo che l’ un de’ globi è premuto da quattro <lb/>elaſtri, l’ altro da uno, e ſon tuttavia premuti e-<lb/>gualmente amendue. </s>
  <s xml:id="echoid-s2487" xml:space="preserve">Or ſe l’ uguaglianza di que-<lb/>ſte due preſſioni non ha in ſe inconveniente niu-<lb/>no; </s>
  <s xml:id="echoid-s2488" xml:space="preserve">e baſta, ſecondo voi, a ſpiegar l’ uguaglian-<lb/>za de i movimenti; </s>
  <s xml:id="echoid-s2489" xml:space="preserve">che cerchiam’ altro? </s>
  <s xml:id="echoid-s2490" xml:space="preserve">Laſcia-<lb/>mo, che gli elaſtri premano, e niente agiſcano. </s>
  <s xml:id="echoid-s2491" xml:space="preserve"><lb/>Volete voi, diſse il Signor D. </s>
  <s xml:id="echoid-s2492" xml:space="preserve">Serao, che un’ ela-<lb/>ſtro dall’ una parte, e quattro dall’ altra, moven-<lb/>doſi, e ſcagliandoſi, non agiſcan nulla? </s>
  <s xml:id="echoid-s2493" xml:space="preserve">Io dico, <lb/>riſpoſi, che premono; </s>
  <s xml:id="echoid-s2494" xml:space="preserve">e ſe il premere, ſecondo <lb/>voi, è agire, agiſcono; </s>
  <s xml:id="echoid-s2495" xml:space="preserve">ſe non è agire, non agi-<lb/>ſcono; </s>
  <s xml:id="echoid-s2496" xml:space="preserve">ma ſolo premono. </s>
  <s xml:id="echoid-s2497" xml:space="preserve">Che neceſſità ha, che <lb/>oltre il premere, anche agiſcano? </s>
  <s xml:id="echoid-s2498" xml:space="preserve">Anzi eſſendo <lb/>eſſi immateriali et incorporei, ne altra ſorma a-<lb/>vendo ſe non di ſemplici preſſioni, io non ſo, che <lb/>altro far poſſano ſe non premere. </s>
  <s xml:id="echoid-s2499" xml:space="preserve">E ſe volete in <lb/>ultimo, che io vi dica liberamente; </s>
  <s xml:id="echoid-s2500" xml:space="preserve">io non ſo quel-<lb/>lo, che voi vi diciate di quadruplo, perchè non <lb/>veggo qui niente, che ſia quadruplo, Come? </s>
  <s xml:id="echoid-s2501" xml:space="preserve">diſ-<lb/>ſe quivi la Signora Principeſsa; </s>
  <s xml:id="echoid-s2502" xml:space="preserve">non vedete voi,
<pb o="179" file="0203" n="203" rhead="LIBRO II."/>
che il globo L è ſpinto da quattro elaſtri, il glo-<lb/>bo A da uno ſolo? </s>
  <s xml:id="echoid-s2503" xml:space="preserve">Io dico, riſpoſi, che queſti <lb/>quattro elaſtri io non li veggo; </s>
  <s xml:id="echoid-s2504" xml:space="preserve">ne credo, che al-<lb/>cun di voi poſsa vederli. </s>
  <s xml:id="echoid-s2505" xml:space="preserve">A provar ciò, diſse al-<lb/>lora la Signora Principeſsa, non ſo, ſe baſtaſse <lb/>l’ eloquenza del noſtro Padre Cavalcanti, che è pur <lb/>tanto grande. </s>
  <s xml:id="echoid-s2506" xml:space="preserve">Molto minore eloquenza, riſpoſi, vi <lb/>baſterà. </s>
  <s xml:id="echoid-s2507" xml:space="preserve">Ma ritorniamo di grazia a riteſsere bre-<lb/>vemente quella ſuppoſizione, che con tanta chia-<lb/>rezza ci ha eſpoſta il noſtro Signor D. </s>
  <s xml:id="echoid-s2508" xml:space="preserve">Serao; </s>
  <s xml:id="echoid-s2509" xml:space="preserve">e <lb/>veggiamo ſe mai vi appariſca elaſtro niuno, dico: <lb/></s>
  <s xml:id="echoid-s2510" xml:space="preserve">elaſtro niuno: </s>
  <s xml:id="echoid-s2511" xml:space="preserve">intendendo la natura dell’ elaſtro, <lb/>non il nome. </s>
  <s xml:id="echoid-s2512" xml:space="preserve">Prima ſi voglion ſupporre cinque <lb/>elaſtri, onde ſi componga una ſerie; </s>
  <s xml:id="echoid-s2513" xml:space="preserve">e quidichia-<lb/>randoſi, che eſſi non ſono ne materiali, ne cor-<lb/>porei, e non hanno maſſa niuna, ben ſi vede, che <lb/>hanno il nome di elaſtri, non la natura, ne altro <lb/>ſono che cinque preſſioni, che ſi accozzano ed <lb/>uniſcono inſieme. </s>
  <s xml:id="echoid-s2514" xml:space="preserve">Poi ſi vuole, che tutta queſta <lb/>preſſione ſi diſtribuiſca egualmente, e ſi applichi <lb/>a i due globi: </s>
  <s xml:id="echoid-s2515" xml:space="preserve">qui pure io non veggo alcun’ ela-<lb/>ſtro; </s>
  <s xml:id="echoid-s2516" xml:space="preserve">ne ſo quello, che ſi vogliano intendere, qua-<lb/>lor dicono che l’ un globo è aſſalito da quattro <lb/>elaſtri, l’ altro da uno; </s>
  <s xml:id="echoid-s2517" xml:space="preserve">perchè io non veggo ſe <lb/>non due globi aſſaliti da due preſſioni eguali. </s>
  <s xml:id="echoid-s2518" xml:space="preserve">Mi <lb/>ſi dice poi, che l’ un globo, fuggendo con più <lb/>velocità, ſi laſcia addietro uno ſpazio CL quadru-<lb/>plo dello ſpazio CA, cui laſciaſi addietro l’ altro <lb/>globo, che fugge con velocità minore. </s>
  <s xml:id="echoid-s2519" xml:space="preserve">Et è ve-<lb/>riſſimo; </s>
  <s xml:id="echoid-s2520" xml:space="preserve">dovendo appunto ciò naſcere dall’ ugua-
<pb o="180" file="0204" n="204" rhead="DELLA FORZA DE’ CORPI"/>
glianza delle preſſioni. </s>
  <s xml:id="echoid-s2521" xml:space="preserve">Ma qui io veggo due ſpa-<lb/>zj CL, CA, che potrebbono veramente capir de gli <lb/>elaſtri; </s>
  <s xml:id="echoid-s2522" xml:space="preserve">gli elaſtri ſteſſi non veggo: </s>
  <s xml:id="echoid-s2523" xml:space="preserve">ſe già non vi na-<lb/>ſceſſero all’ improvviſo, e ſenza perchè. </s>
  <s xml:id="echoid-s2524" xml:space="preserve">E naſcen-<lb/>dovi pure, per qual ragione dovrebbe dirſi qua-<lb/>drupla la ſomma di quegli elaſtri, che occupaſſe-<lb/>ro la parte CL? </s>
  <s xml:id="echoid-s2525" xml:space="preserve">Quadrupla in che? </s>
  <s xml:id="echoid-s2526" xml:space="preserve">Nel premere? <lb/></s>
  <s xml:id="echoid-s2527" xml:space="preserve">ma dicono, che preme egualmente. </s>
  <s xml:id="echoid-s2528" xml:space="preserve">Nell’ eſtenſio-<lb/>ne, e nella grandezza? </s>
  <s xml:id="echoid-s2529" xml:space="preserve">ma dicono, che gli elaſtri <lb/>non hanno ne materia, ne corpo, ne maſſa niu-<lb/>na, il che ſe è quale grandezza, e quale eſten-<lb/>ſione aver poſſono? </s>
  <s xml:id="echoid-s2530" xml:space="preserve">E poi, che fa qui la grandez-<lb/>za, e l’ eſtenſione? </s>
  <s xml:id="echoid-s2531" xml:space="preserve">La quale, qualunque ſiaſi, pur-<lb/>chè reſti la ſteſsa preſſione, reſterà ſempre ne’ glo-<lb/>bi lo ſteſso movimento. </s>
  <s xml:id="echoid-s2532" xml:space="preserve">Eſsendomi io qui ferma-<lb/>to alquanto; </s>
  <s xml:id="echoid-s2533" xml:space="preserve">è però coſa ſtrana, diſse la Signo-<lb/>ra Principeſsa, che, ſupponendoſi una ſerie di cin-<lb/>que elaſtri, non entri nella ſuppoſizione verun’ ela-<lb/>ſtro. </s>
  <s xml:id="echoid-s2534" xml:space="preserve">Et io, ſe voi, diſſi, conſidererete bene la. </s>
  <s xml:id="echoid-s2535" xml:space="preserve"><lb/>ſuppoſizione, ne vi laſcerete ingannar dal nome, <lb/>troverete, che ella altro non è, che ſupporre cin-<lb/>que preſſioni, le quali così ſi accozzano inſieme, e <lb/>diſtribuiſcono, che vengono a premer due globi <lb/>egualmente verſo due contrarie parti. </s>
  <s xml:id="echoid-s2536" xml:space="preserve">Ne qui al-<lb/>tro ha di elaſtro, ſe non il nome. </s>
  <s xml:id="echoid-s2537" xml:space="preserve">Et io credo che co-<lb/>teſta ſerie cosi incorporea, come la vogliono, ſia da <lb/>concepirſi non altrimenti, che come una forza re-<lb/>pulſiva di quelle, che piacciono tanto a Neutonia-<lb/>ni, frappoſta a i due globi; </s>
  <s xml:id="echoid-s2538" xml:space="preserve">della quale chi vorrebbe <lb/>dire, che quattro parti ſi ſtendeſsero per lo ſpa-
<pb o="181" file="0205" n="205" rhead="LIBRO II."/>
zio CL, una ſola per lo ſpazio CA? </s>
  <s xml:id="echoid-s2539" xml:space="preserve">Ben m’ a-<lb/>ſpettava, diſse allora la Signora Principeſsa, che <lb/>voi moſtrereſte il voſtro ingegno. </s>
  <s xml:id="echoid-s2540" xml:space="preserve">Signora, riſpo. <lb/></s>
  <s xml:id="echoid-s2541" xml:space="preserve">ſi, io credo di aver più toſto moſtrata la veri-<lb/>tà. </s>
  <s xml:id="echoid-s2542" xml:space="preserve">E poichè il credete, diſse ſubito la Signora. </s>
  <s xml:id="echoid-s2543" xml:space="preserve"><lb/>Principeſſa, noi vi laſcieremo nell’ opinion vo-<lb/>ſtra, contenti di aver conoſciuto in queſto luo-<lb/>go quanto poſſa o l’ ingegno o la verità. </s>
  <s xml:id="echoid-s2544" xml:space="preserve">Intan-<lb/>to fie bene, che finendo una volta di dir degli <lb/>elaſtri, cominciate a dirci delle leggi del moto. </s>
  <s xml:id="echoid-s2545" xml:space="preserve"><lb/>Signora, riſpoſi, io ho pochiſſimo da dirne, e il <lb/>cominciare e il finire ſarà tutto uno. </s>
  <s xml:id="echoid-s2546" xml:space="preserve">Pur, diſſe <lb/>la Signora Principeſſa, diteci quel pochiſſimo; </s>
  <s xml:id="echoid-s2547" xml:space="preserve"><lb/>che ſe queſti Signori vorranno fare anch’ eſſi il <lb/>debito loro, interrogandovi, ove la coſa il ricer-<lb/>chi, e, quando faccia meſtieri, contradicendovi, <lb/>non finirete forſe così preſto. </s>
  <s xml:id="echoid-s2548" xml:space="preserve">Io credo, riſpoſi, <lb/>che come io ho poco da dire, così avranno eſſi <lb/>poco da contradire. </s>
  <s xml:id="echoid-s2549" xml:space="preserve">Ma certo a me pare, che eſ-<lb/>ſendo le leggi del moto non altro, che certe re-<lb/>gole, ſecondo cui per cagione dell’ urto ſi diſtri-<lb/>buiſce la velocità a corpi, e ſi fa quando mag-<lb/>giore e quando minore, niente altro ſi richiegga <lb/>a porle in effetto, ſe non l’ azione delle potenze, <lb/>che producono o diſtruggono la velocità, ſenza, <lb/>più. </s>
  <s xml:id="echoid-s2550" xml:space="preserve">E ſe io voleſſi entrare ora in ſottigliezze, <lb/>direi facilmente, che foſſe nella natura una po-<lb/>tenza ſola, la qual, non movendoſi eſſa, move <lb/>tutte le coſe; </s>
  <s xml:id="echoid-s2551" xml:space="preserve">e mi piacerebbe l’ <emph style="it">ἀκίυητου</emph> di Ari-<lb/>ſtotile. </s>
  <s xml:id="echoid-s2552" xml:space="preserve">Sebbene eſſendo i movimenti varj tra lo-
<pb o="182" file="0206" n="206" rhead="DELLA FORZA DE’ CORPI"/>
ro, et avendogli noi notati con varj nomi (che <lb/>un movimento diciamo per eſempio ſalire, et un’ <lb/>altro diſcendere, et un’ altro aprirſi, et altro chiu-<lb/>derſi, e così molti, che abbiamo con diverſe voci <lb/>diſtinti) per ciò quella potenza, che gli produ-<lb/>ce tutti, noi la diſtinguiamo in molte. </s>
  <s xml:id="echoid-s2553" xml:space="preserve">Ma ella è <lb/>forſe una in ſe ſteſſa, e variando l’ effetto, eſſa <lb/>non varia; </s>
  <s xml:id="echoid-s2554" xml:space="preserve">il perchè non ho mai creduto, che <lb/>debba negarſi a Neutoniani, che quella forza, per <lb/>cui ſi riſpingono i corpi, ſia la medeſima, che <lb/>quella, per cui ſi attraggono; </s>
  <s xml:id="echoid-s2555" xml:space="preserve">ma gli uomini ſo-<lb/>no troppo avvezzi a conſiderarle come due. </s>
  <s xml:id="echoid-s2556" xml:space="preserve">Che <lb/>che ſia di ciò; </s>
  <s xml:id="echoid-s2557" xml:space="preserve">che non fa ora d’ uopo di tanta <lb/>metafiſica; </s>
  <s xml:id="echoid-s2558" xml:space="preserve">egli è certo, che a far naſcer ne’ cor-<lb/>pi quelle velocità, che le leggi del moto richieg-<lb/>gono, baſtar debbono le potenze, che produco-<lb/>no le velocità ſteſſe: </s>
  <s xml:id="echoid-s2559" xml:space="preserve">ſarebbe inutile l’ aggiunger-<lb/>vi la forza viva. </s>
  <s xml:id="echoid-s2560" xml:space="preserve">Ne per ciò dico, che le leggi <lb/>del moto la eſcludano; </s>
  <s xml:id="echoid-s2561" xml:space="preserve">che ſo bene, ancor quelli, <lb/>che la tengono, e prendono principio da eſſa, aver <lb/>pure trovato via di condurſi alle medeſime leggi, <lb/>a cui ſi conducono gli altri; </s>
  <s xml:id="echoid-s2562" xml:space="preserve">e partendo da princi-<lb/>pj diverſi, arrivano alle iſteſſe conſeguenze. </s>
  <s xml:id="echoid-s2563" xml:space="preserve">Gli <lb/>uni però, diſſe allora la Signora Principeſſa, vi ſi <lb/>condurranno per vie più facili e più ſemplici; </s>
  <s xml:id="echoid-s2564" xml:space="preserve">gli <lb/>altri per vie più compoſte e più faticoſe. </s>
  <s xml:id="echoid-s2565" xml:space="preserve">Oh, riſ-<lb/>poſi, non è alcun dubio, che i ſoſtenit<unsure/>ori della <lb/>forza viva vi ſi conducono per vie più lunghe e <lb/>difficili; </s>
  <s xml:id="echoid-s2566" xml:space="preserve">pur teſſono, e legano inſieme tante di-<lb/>moſtrazioni, e tanti calcoli, e così gli torcono e
<pb o="183" file="0207" n="207" rhead="LIBRO II."/>
piegano, che alfin vi giungono. </s>
  <s xml:id="echoid-s2567" xml:space="preserve">E qui, diſſe al-<lb/>lora la Signora Principeſſa, voi potrete riprender-<lb/>li, che per vie tanto più lunghe e compoſte vo-<lb/>glian condurſi a quelle leggi, a cui altri giungo-<lb/>no per vie più brevi, e più ſemplici. </s>
  <s xml:id="echoid-s2568" xml:space="preserve">Tolga Id-<lb/>dio, riſpoſi io allora, ch’ io mai faceſſi motto di <lb/>ciò; </s>
  <s xml:id="echoid-s2569" xml:space="preserve">perchè, come ſi viene a un tal luogo, non <lb/>credereſte dell’ eloquenza, ch’ egli hanno. </s>
  <s xml:id="echoid-s2570" xml:space="preserve">E ſan-<lb/>no ben dire, che la natura non è poi così ſem-<lb/>plice, come alcuni ſi credono; </s>
  <s xml:id="echoid-s2571" xml:space="preserve">e che quello, che <lb/>è compoſto a noi, non è ſempre compoſto alla <lb/>natura; </s>
  <s xml:id="echoid-s2572" xml:space="preserve">e che alla natura egualmente è facile la <lb/>ſtrada lunga, e la breve; </s>
  <s xml:id="echoid-s2573" xml:space="preserve">ed altre molte di quel-<lb/>le coſe, che il Signor D. </s>
  <s xml:id="echoid-s2574" xml:space="preserve">Serao queſta mattina non <lb/>potea ſoffrire. </s>
  <s xml:id="echoid-s2575" xml:space="preserve">Pur potreſte, diſſe allora la Signo-<lb/>ra Principeſſa, pregarli a voler liberarſi dal tor-<lb/>mento di quei calcoli, ſe non altro, almeno per <lb/>loro comodo. </s>
  <s xml:id="echoid-s2576" xml:space="preserve">Ne queſto pur valerebbe; </s>
  <s xml:id="echoid-s2577" xml:space="preserve">riſpoſi, <lb/>perchè ſi pregiano di ſoſtenere per la verità quel <lb/>martirio. </s>
  <s xml:id="echoid-s2578" xml:space="preserve">Ma tanta coſtanza, diſſe allora riden-<lb/>do la Signora Principeſſa, biſogna bene, che ſia <lb/>fondata in qualche ragione; </s>
  <s xml:id="echoid-s2579" xml:space="preserve">e queſta io vorrei <lb/>intender da voi. </s>
  <s xml:id="echoid-s2580" xml:space="preserve">Veggo bene, riſpoſi, che voi, <lb/>Signora, mi tentate, interrogandomi di quelle <lb/>coſe, che ſapete meglio di me; </s>
  <s xml:id="echoid-s2581" xml:space="preserve">io però non avrò <lb/>minor merito obbedendovi. </s>
  <s xml:id="echoid-s2582" xml:space="preserve">La ragione dunque, <lb/>che voi chiedete, ſi è, che quelli, i quali nega-<lb/>no la forza viva, ſi conducono alle leggi del mo-<lb/>to per una certa ſuppoſizione, che i Leibniziani <lb/>hanno in odio, ne voglion farla. </s>
  <s xml:id="echoid-s2583" xml:space="preserve">La ſuppoſizio-
<pb o="184" file="0208" n="208" rhead="DELLA FORZA DE’ CORPI"/>
ne è, che fingon prima de’ corpi perfettamente <lb/>duri, i quali per niun’ urto poſſano romperſi ne <lb/>ſchiacciarſi; </s>
  <s xml:id="echoid-s2584" xml:space="preserve">imperocchè, ſtabilite le leggi del <lb/>moto in tali corpi, paſſano poi facilmente a ſta-<lb/>bilirle negli altri. </s>
  <s xml:id="echoid-s2585" xml:space="preserve">Queſta ſuppoſizione, che finge <lb/>una perfetta durezza, non poſſono ſoffrire i Lei-<lb/>bniziani; </s>
  <s xml:id="echoid-s2586" xml:space="preserve">e per isfuggirla fanno quel gran giro di <lb/>calcoli. </s>
  <s xml:id="echoid-s2587" xml:space="preserve">Che male ha fatto loro, diſſe la Signo-<lb/>ra Principeſſa, una ſuppoſizione, che fù già tan-<lb/>to amica di Epicuro, e lo provide di tanti ato-<lb/>mi, che pensò poter comporne infiniti mondi? <lb/></s>
  <s xml:id="echoid-s2588" xml:space="preserve">Queſta ſuppoſizione, riſpoſi io, che fu tanto cor-<lb/>teſe ad Epicuro, è un poco faſtidioſa a Leibni-<lb/>ziani, e dirovvene la ragione, non perchè voi <lb/>non la ſappiate (che i libri ne ſon pieni) ma <lb/>perchè, ſapendola, par tuttavia, che amiate udir-<lb/>la da me. </s>
  <s xml:id="echoid-s2589" xml:space="preserve">I Carteſiani, che ſono ſtati i primi cer-<lb/>catori delle leggi del moto, tennero una ſtrada <lb/>aſſai comoda, che fu di cercarle prima ne’ corpi <lb/>perſettamente duri, per poter poi conoſcerle più <lb/>facilmente nei men duri. </s>
  <s xml:id="echoid-s2590" xml:space="preserve">Ne parea la loro inten-<lb/>zion da riprenderſi; </s>
  <s xml:id="echoid-s2591" xml:space="preserve">non dicendo già eſſi, che ſie-<lb/>no nella natura corpi duriſſimi, ma cercando, <lb/>quali leggi doveſſero oſſervar, ſe vi foſſero. </s>
  <s xml:id="echoid-s2592" xml:space="preserve">Chi <lb/>è, che cercando le leggi della fluidità, non le <lb/>cerchi prima nella fluidità perfettiſſima? </s>
  <s xml:id="echoid-s2593" xml:space="preserve">e lo ſteſ-<lb/>ſo ſi fa pure in tutti i luoghi della fiſica. </s>
  <s xml:id="echoid-s2594" xml:space="preserve">I Car-<lb/>teſiani adunque eſponendo le leggi del moto ne’ <lb/>corpi perfettamente duri, ſtabiliſcono, che ſe due <lb/>d’ eſſi, avendo quantità eguali di movimento, ſi
<pb o="185" file="0209" n="209" rhead="LIBRO II."/>
incontraſſero, dovrebbon toſto fermarſi, perden-<lb/>do ogni forza loro. </s>
  <s xml:id="echoid-s2595" xml:space="preserve">E certo non può intenderſi, <lb/>che due movimenti eguali tra loro, e contrarii, <lb/>non ſi diſtruggano. </s>
  <s xml:id="echoid-s2596" xml:space="preserve">E diſtruggendoſi i movimenti <lb/>debbono i corpi fermarſi; </s>
  <s xml:id="echoid-s2597" xml:space="preserve">i quali fermandoſi non <lb/>è alcun dubio, che perdono ogni forza. </s>
  <s xml:id="echoid-s2598" xml:space="preserve">Ora di <lb/>qui è nato un argomenro aſſai moleſto a Leibni-<lb/>ziani, del quale i Carteſiani ſpeſſe volte ſi vaglio-<lb/>no; </s>
  <s xml:id="echoid-s2599" xml:space="preserve">imperocchè ſe la forza doveſſe miſurarſi dal <lb/>quadrato della velocità, potrebbono i due cor-<lb/>pi duriſſimi incontrarſi con eguali quantità di mo-<lb/>to, avendo però forze diſeguali; </s>
  <s xml:id="echoid-s2600" xml:space="preserve">e in queſto ca-<lb/>ſo fermandoſi amendue, e perdendo ogni forza, <lb/>biſognerebbe dire, che due forze diſeguali incon-<lb/>trandoſi ſi diſtruggeſſero l’ una e l’ altra egualmen-<lb/>te, il che pare eſſere impoſſibile. </s>
  <s xml:id="echoid-s2601" xml:space="preserve">E quindi raccol-<lb/>gono i Carteſiani, che la forza non debba dunque <lb/>miſurarſi dal quadrato della velocità. </s>
  <s xml:id="echoid-s2602" xml:space="preserve">I Leibniziani <lb/>non ardiſcon negare, che due corpi duriſſimi, <lb/>avendo eguali quantità di moto, e incontrandoſi <lb/>doveſſer fermarſi. </s>
  <s xml:id="echoid-s2603" xml:space="preserve">Non ſapendo dunque, che ri-<lb/>ſpondere, e non potendo levar via la difficoltà, le-<lb/>vano la ſuppoſizione; </s>
  <s xml:id="echoid-s2604" xml:space="preserve">e ricuſano aſpramente di <lb/>mai ſupporre alcun corpo duriſſimo. </s>
  <s xml:id="echoid-s2605" xml:space="preserve">Ne val pre-<lb/>garli, ne dir loro, che la perfetta durezza non vuol <lb/>già introdurſi nella natura, ma vuol ſolo averſi <lb/>per poſſibile; </s>
  <s xml:id="echoid-s2606" xml:space="preserve">e che noi abbiam ben ſuppoſto, per <lb/>amor loro, elaſtri perfettiſſimi, et oltre a ciò im-<lb/>materiali et incorporei; </s>
  <s xml:id="echoid-s2607" xml:space="preserve">che tutto è nulla. </s>
  <s xml:id="echoid-s2608" xml:space="preserve">Così ſi <lb/>han fitto nell’ animo di non voler fermarſi un
<pb o="186" file="0210" n="210" rhead="DELLA FORZA DE’ CORPI"/>
momento ſolo nel penſiero della perfetta durezza. <lb/></s>
  <s xml:id="echoid-s2609" xml:space="preserve">La quale oſtinazione, per dir vero, non mi è mai <lb/>piaciuta. </s>
  <s xml:id="echoid-s2610" xml:space="preserve">Vedete, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s2611" xml:space="preserve">Nic-<lb/>cola, che il Padre Riccatinon ſappia, che voi ab-<lb/>biate dato degli oſtinati a Leibniziani; </s>
  <s xml:id="echoid-s2612" xml:space="preserve">perchè pa-<lb/>re, che egli abbia diſapprovato aſſai quel voſtro <lb/><emph style="it">ruſticum</emph>; </s>
  <s xml:id="echoid-s2613" xml:space="preserve">che non ſo come vi uſcì della penna, <lb/>parlando de’ Bernulliani. </s>
  <s xml:id="echoid-s2614" xml:space="preserve">E ſappiate, diſſi io al-<lb/>lora, che io inteſi di ſcherzare. </s>
  <s xml:id="echoid-s2615" xml:space="preserve">Chi non ſa, che <lb/>i Bernulli, e tutti quegli altri, che hanno illuſtra-<lb/>ta la loro ſcuola, ſono ſtati, e ſono, geometrie <lb/>meccanici, tra quanti ne fiorirono al mondo mai, <lb/>eccellentiſſimi e ſommi? </s>
  <s xml:id="echoid-s2616" xml:space="preserve">ma io non credeva poi, <lb/>che foſſer cotanto teneri, che non ſi poteſſe a <lb/>qualche volta ſcherzar con loro. </s>
  <s xml:id="echoid-s2617" xml:space="preserve">Non ſapevate voi, <lb/>diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s2618" xml:space="preserve">Niccola, che con coteſti <lb/>gran letterati non vuol ſcherzarſi? </s>
  <s xml:id="echoid-s2619" xml:space="preserve">Che è ciò? </s>
  <s xml:id="echoid-s2620" xml:space="preserve">diſ-<lb/>ſe allora la Signora Principeſſa, che io voglio ad’ <lb/>ogni modo ſaperlo. </s>
  <s xml:id="echoid-s2621" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s2622" xml:space="preserve">Nicola, <lb/>ſappiate, diſſe, che queſto Signorino ne comen-<lb/>tarj, che diede fuori, della ſua Accademia, eſpo-<lb/>ſe in certo luogo l’ argomento de Carteſiani, che <lb/>ora avete udito; </s>
  <s xml:id="echoid-s2623" xml:space="preserve">poi venendo a far menzione del-<lb/>la riſpoſta de’ Bernulliani, che negano di voler <lb/>ſupporre corpi duriſſimi, traſcorſe in un certo: </s>
  <s xml:id="echoid-s2624" xml:space="preserve"><lb/><emph style="it">ruſticum eſt reſpondere</emph>. </s>
  <s xml:id="echoid-s2625" xml:space="preserve">Io mi ricordo bene di a-<lb/>ver letto quel luogo, diſſe quivi la Signora Prin-<lb/>cipeſſa; </s>
  <s xml:id="echoid-s2626" xml:space="preserve">ma non poſi gran fatto mente al <emph style="it">ruſticum</emph>. </s>
  <s xml:id="echoid-s2627" xml:space="preserve"><lb/>Or dunque che n’ è avvenuto? </s>
  <s xml:id="echoid-s2628" xml:space="preserve">Signora, riſpoſi io <lb/>allora, n’ è avvenuto, che il Padre Riccati mo-
<pb o="187" file="0211" n="211" rhead="LIBRO II."/>
ſtra aver preſo quel <emph style="it">ruſticum</emph> con ſerietà; </s>
  <s xml:id="echoid-s2629" xml:space="preserve">e tanto <lb/>vi torna ſopra, e per tal modo, che par quaſi vo-<lb/>glia rivolgerlo ſopra di me; </s>
  <s xml:id="echoid-s2630" xml:space="preserve">quantunque io cer-<lb/>to l’aveſſi detto ſcherzevolmente. </s>
  <s xml:id="echoid-s2631" xml:space="preserve">Ben vi ſta, diſ-<lb/>ſe allora ſorridendo la Signora Principeſſa; </s>
  <s xml:id="echoid-s2632" xml:space="preserve">così <lb/>imparerete di non ſcherzar con gli Dii. </s>
  <s xml:id="echoid-s2633" xml:space="preserve">Ma che <lb/>avrà detto il Padre Riccati, diſſe quivi il Signor <lb/>D. </s>
  <s xml:id="echoid-s2634" xml:space="preserve">Serao, leggendo negli atti di Lipſia quel ſot-<lb/>tiliſſimo ragionamento di Bernulli, da me poc’an-<lb/>zi rammemorato, la dove e’dice, che voi altri, <lb/>che ſiete contrarj alla forza viva, ſoſtenete quel-<lb/>la voſtra ſentenza per mal talento, e ſiete bugiar-<lb/>di e mentitori? </s>
  <s xml:id="echoid-s2635" xml:space="preserve">Il Padre di ciò non fa parola, diſſi <lb/>io allora; </s>
  <s xml:id="echoid-s2636" xml:space="preserve">e crede forſe, che a Bernulliani ſtia bene <lb/>ogni coſa; </s>
  <s xml:id="echoid-s2637" xml:space="preserve">verſo me, che ſono un’ uom mortale, <lb/>è più ſevero. </s>
  <s xml:id="echoid-s2638" xml:space="preserve">Riſe quivi di nuovo la Signora <lb/>Principeſsa; </s>
  <s xml:id="echoid-s2639" xml:space="preserve">poi diſſe: </s>
  <s xml:id="echoid-s2640" xml:space="preserve">torniamo al propoſito; </s>
  <s xml:id="echoid-s2641" xml:space="preserve">per-<lb/>chè io vorrei pur ſapere da voi, come diciate, che <lb/>i Leibniziani non hanno riſpoſta niuna all’ argo-<lb/>mento de Carteſiani, poc’ anzi detto. </s>
  <s xml:id="echoid-s2642" xml:space="preserve">Non glie <lb/>ne avete moſtrato una voi ſteſso ne voſtri comen-<lb/>tarj? </s>
  <s xml:id="echoid-s2643" xml:space="preserve">la quale, ſe mi ricordo, è pur queſta: </s>
  <s xml:id="echoid-s2644" xml:space="preserve">che <lb/>qualora due corpi duriſſimi s’incontrano, agiſcono <lb/>l’ un contro l’altro, e contraſtano, non già con le <lb/>forze vive, non potendo eſſi ne ſchiacciarſi ne rom-<lb/>perſi, in che la forza viva ſi adopra; </s>
  <s xml:id="echoid-s2645" xml:space="preserve">ma coi mo-<lb/>vimenti ſoli. </s>
  <s xml:id="echoid-s2646" xml:space="preserve">E quindi è, che ſe i movimenti ſo-<lb/>no contrarj et eguali, debbono i corpi fermarſi, <lb/>quantunque le forze vive non ſieno eguali; </s>
  <s xml:id="echoid-s2647" xml:space="preserve">le qua-<lb/>li poi ſi eſtinguono eſtinguendoſi i movimenti.</s>
  <s xml:id="echoid-s2648" xml:space="preserve">
<pb o="188" file="0212" n="212" rhead="DELLA FORZA DE’ CORPI"/>
Così diſtruggonſi le forze vive, benchè diſeguali, <lb/>nell’ incontro de’ corpi duriſſimi, perciocchè in <lb/>quell’ incontro non ſi adoprano, e nulla agiſco-<lb/>no; </s>
  <s xml:id="echoid-s2649" xml:space="preserve">e ſolo mancano, perchè mancano i movimen-<lb/>ti. </s>
  <s xml:id="echoid-s2650" xml:space="preserve">Non è egli queſto, che voi dite poter riſpon-<lb/>derſi da’ Leibniziani? </s>
  <s xml:id="echoid-s2651" xml:space="preserve">or come dunque non hanno e-<lb/>glino riſpoſta niuna, ſe voi avete loro offerto queſta? <lb/></s>
  <s xml:id="echoid-s2652" xml:space="preserve">Signora, riſpoſi, non voglion riceverla, eil Padre <lb/>Riccati, come vedrete, me la reſtituiſce a nome di <lb/>tutti. </s>
  <s xml:id="echoid-s2653" xml:space="preserve">Non ſo, ſe il facciano per non avermi niun <lb/>obbligo, o ſe rifiutino il dono, come ſuol farſi, <lb/>per gentilezza; </s>
  <s xml:id="echoid-s2654" xml:space="preserve">certo che il Padre Riccati ne ap-<lb/>porta due ragioni, che a me pajono piu toſto <lb/>cerimonie, che ragioni. </s>
  <s xml:id="echoid-s2655" xml:space="preserve">Voi ve le vedrete, leg-<lb/>gendo il dottiſſimo libro ſuo. </s>
  <s xml:id="echoid-s2656" xml:space="preserve">Pur mi ſarà caro, <lb/>diſſe allora la Signora Principeſſa ſorridendo, di <lb/>intender’ ora queſte due cerimonie del Padre Ric-<lb/>cati; </s>
  <s xml:id="echoid-s2657" xml:space="preserve">e come voi gli riſpondiate. </s>
  <s xml:id="echoid-s2658" xml:space="preserve">A me giova, diſ-<lb/>ſi io allora, non riſponder nulla; </s>
  <s xml:id="echoid-s2659" xml:space="preserve">perchè ſe i Lei-<lb/>bniziani rifiutano quella riſpoſta, che io ho of-<lb/>ferta loro per difendere la forza viva contro l’ <lb/>argomento de’ Carteſiani, meglio ſta. </s>
  <s xml:id="echoid-s2660" xml:space="preserve">Non a-<lb/>vran, che riſpondere. </s>
  <s xml:id="echoid-s2661" xml:space="preserve">Si, riſpoſe la Signora Prin-<lb/>cipeſſa; </s>
  <s xml:id="echoid-s2662" xml:space="preserve">ma ſe voi non moſtrate, che quella vo-<lb/>ſtra riſpoſta poteſſe e doveſſe riceverſi da Leibni-<lb/>ziani, dileguando le ragioni del P. </s>
  <s xml:id="echoid-s2663" xml:space="preserve">Riccati, egli <lb/>parrà, che voi gliel’ abbiate offerta di mala fede, <lb/>e ſarete accuſato di frode. </s>
  <s xml:id="echoid-s2664" xml:space="preserve">Voi mi ſtringete trop-<lb/>po, riſpoſi; </s>
  <s xml:id="echoid-s2665" xml:space="preserve">acciocchè dunque io non vi paja di <lb/>mala fede, ne dobbiate accuſarmi di frode, fa-
<pb o="189" file="0213" n="213" rhead="LIBRO II."/>
rovvi chiaramente vedere, che quella mia riſpo-<lb/>ſta poteva e doveva uſarſi a ſoſtenere la forza vi-<lb/>va contro a Carteſiani; </s>
  <s xml:id="echoid-s2666" xml:space="preserve">dileguando per ciò le ob-<lb/>biezioni del Padre Riccati, le quali, ſe ben mi <lb/>ricordo, ſon due; </s>
  <s xml:id="echoid-s2667" xml:space="preserve">e la prima è queſta: </s>
  <s xml:id="echoid-s2668" xml:space="preserve">ſe due <lb/>corpi duriſſimi, dice egli, incontrandoſi, niente <lb/>adopraſſero le loro forze vive, e tuttavia col fer-<lb/>marſi ſubito le perdeſſero, biſognerebbe dire, che <lb/>tali forze ſi eſtingueſſero ſenza avere operato nul-<lb/>la; </s>
  <s xml:id="echoid-s2669" xml:space="preserve">e ciò è, ſecondo lui, un grandiſſimo aſſur-<lb/>do, perciocchè le ſorze non vogliono eſſer nate <lb/>al mondo inutilmente, ne perire ſenza aver pro-<lb/>dotto il loro effetto. </s>
  <s xml:id="echoid-s2670" xml:space="preserve">Queſta ragione non mi par <lb/>già una cerimonia, diſſe allora la Signora Prin-<lb/>cipeſſa. </s>
  <s xml:id="echoid-s2671" xml:space="preserve">Et io, ſe voi, diſſi, la eſaminerete bene, <lb/>e conſidererete, da qual principio ella parta, la <lb/>troverete così vana, che comincierà forſe a parer-<lb/>vi una cerimonia. </s>
  <s xml:id="echoid-s2672" xml:space="preserve">Ella parte, diſſe allora la Si-<lb/>gnora Ptincipeſſa, e ſi trae da quel principio, che <lb/>una forza non poſſa eſtinguerſi in natura, e pe-<lb/>rire, ſe non operando, e faccendo il ſuo effetto. <lb/></s>
  <s xml:id="echoid-s2673" xml:space="preserve">Ma parvi egli, diſſi io allora, che tal propoſizio-<lb/>ne ſia da metterſi così ſenza dubio alcuno tra i <lb/>principj? </s>
  <s xml:id="echoid-s2674" xml:space="preserve">Parvi egli, che ſia una propoſizion tan-<lb/>to chiara, e tanto evidente, che doveſſe per amor <lb/>d’ eſſa rifiutarſi una riſpoſta, che io offeriva con <lb/>tanto affetto a Leibniziani, e che era loro cotan-<lb/>to utile? </s>
  <s xml:id="echoid-s2675" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s2676" xml:space="preserve">Niccola, voi ſiete <lb/>diſſe, troppo rigoroſo; </s>
  <s xml:id="echoid-s2677" xml:space="preserve">perchè mettiamo pure, che <lb/>non ſia quella propoſizione, come un principio
<pb o="190" file="0214" n="214" rhead="DELLA FORZA DE’ CORPI"/>
di Euclide; </s>
  <s xml:id="echoid-s2678" xml:space="preserve">è però vera, ne vuol negarſi; </s>
  <s xml:id="echoid-s2679" xml:space="preserve">percioc-<lb/>chè egli è pure ſecondo la conſuetudine della natu-<lb/>ra, che niuna forza ſi eſtingua e periſca mai ſe non <lb/>operando, e faccendo alcun’ effetto; </s>
  <s xml:id="echoid-s2680" xml:space="preserve">la qual con-<lb/>ſuetudine io potrei dimoſtrarvi con innumerabili <lb/>eſempli, ſe ſi poteſſer qui ora ſcorrere tutte le <lb/>parti sì della fiſica come della meccanica. </s>
  <s xml:id="echoid-s2681" xml:space="preserve">E voi <lb/>ſapete, che alle conſuetudini della natura vuolſi <lb/>aver riguardo. </s>
  <s xml:id="echoid-s2682" xml:space="preserve">Si veramente, riſpoſi; </s>
  <s xml:id="echoid-s2683" xml:space="preserve">e per que-<lb/>ſto riguardo io non voglio già, che i Leibnizia-<lb/>ni dicano eſsere alcun corpo nel mondo, in cui <lb/>periſca la forza viva ſenza operar nulla; </s>
  <s xml:id="echoid-s2684" xml:space="preserve">io gli <lb/>pregava ſolamente a voler dire, che la forza vi-<lb/>va potrebbe perire ſenza operar nulla, ſe foſse-<lb/>ro al mondo de’ corpi duriſſimi, i quali però non <lb/>vi ſono. </s>
  <s xml:id="echoid-s2685" xml:space="preserve">Nel che niente ſi offende la conſuetudine <lb/>della natura, la qual vuol eſsere oſservata ne cor-<lb/>pi, che ſono, e non in quei, che non ſono. </s>
  <s xml:id="echoid-s2686" xml:space="preserve">Sicco-<lb/>me la conſuetudine, che hanno tutti i corpi, come <lb/>ſon poſti in libertà, di cadere, niente ſi offenderebbe <lb/>ſupponendo un corpo non grave, il qual per ciò <lb/>non cadeſſe; </s>
  <s xml:id="echoid-s2687" xml:space="preserve">perciocchè quella conſuetudine è <lb/>ne corpi per queſto appunto perchè ſon gravi; <lb/></s>
  <s xml:id="echoid-s2688" xml:space="preserve">così quella conſuetudine, che ogni forza ſi eſtin-<lb/>gua faccendo alcun effetto, è forſe nella natura, <lb/>perchè non ſono nella natura corpi duriſſimi, i <lb/>quali ſe vi foſſero, quella conſuetudine non ſa-<lb/>rebbe. </s>
  <s xml:id="echoid-s2689" xml:space="preserve">Voi dite beniſſimo, diſſe allora il Signor <lb/>D. </s>
  <s xml:id="echoid-s2690" xml:space="preserve">Nicola, che le conſuetudini della natura deb-<lb/>bono oſſervarſi nè corpi, che ſono, non in quei,
<pb o="191" file="0215" n="215" rhead="LIBRO II."/>
che non ſono; </s>
  <s xml:id="echoid-s2691" xml:space="preserve">pure ſe voi volete ſupporre due <lb/>corpi ſommamente duri, nell’ incontro de’ quali <lb/>periſcano le forze vive, biſogna bene, che nella <lb/>voſtra ſuppoſizione ſia qualche ragione, perchè <lb/>perir debbano. </s>
  <s xml:id="echoid-s2692" xml:space="preserve">Or qual ſarà queſta ragione? <lb/></s>
  <s xml:id="echoid-s2693" xml:space="preserve">perchè ſe non agiſcono, ne pur potranno diſtrug-<lb/>gerſi l’ una l’ altra; </s>
  <s xml:id="echoid-s2694" xml:space="preserve">poichè queſto ſarebbe agire; </s>
  <s xml:id="echoid-s2695" xml:space="preserve"><lb/>anzi quand’ anche agifsero, pur non potrebbon <lb/>diſtruggerſi amendue, eſsendo tra loro diſeguali. </s>
  <s xml:id="echoid-s2696" xml:space="preserve"><lb/>Vedete dunque in coteſta ſuppoſizione, di cui <lb/>vorreſte, che i Leibniziani ſi ſerviſsero, non. </s>
  <s xml:id="echoid-s2697" xml:space="preserve"><lb/>debbano eſtinguerſi due forze vive ſenza che vi <lb/>ſia ragione alcuna, perchè ſi eſtinguano. </s>
  <s xml:id="echoid-s2698" xml:space="preserve">A me <lb/>pare, diſſi io allora, che ſe nella mia ſuppoſizio-<lb/>ne le forze vive ſi eſtinguono, abbiano una bel-<lb/>liſſima e grandiſſima ragione di eſtinguerſi. </s>
  <s xml:id="echoid-s2699" xml:space="preserve">Qua-<lb/>le? </s>
  <s xml:id="echoid-s2700" xml:space="preserve">diſse il Signor D. </s>
  <s xml:id="echoid-s2701" xml:space="preserve">Niccola. </s>
  <s xml:id="echoid-s2702" xml:space="preserve">Et io riſpoſi: </s>
  <s xml:id="echoid-s2703" xml:space="preserve"><lb/>perchè manca loro il ſoggetto. </s>
  <s xml:id="echoid-s2704" xml:space="preserve">E quale è il ſog-<lb/>getto della forza viva? </s>
  <s xml:id="echoid-s2705" xml:space="preserve">non è egli il corpo moſso? </s>
  <s xml:id="echoid-s2706" xml:space="preserve"><lb/>certo che il corpo non l’ha, ſe non quando ſi mo-<lb/>ve, e inquanto ſi move; </s>
  <s xml:id="echoid-s2707" xml:space="preserve">mancando dunque il cor-<lb/>po moſso (il qual manca nella ſuppoſizion mia, <lb/>ſecondo cui incontrandoſi i due corpi toſto ſi fer-<lb/>mano) manca alla forza il ſoggetto; </s>
  <s xml:id="echoid-s2708" xml:space="preserve">e ciò po-<lb/>ſto qual più bella ragione potrebbe ella avere di <lb/>perire e di eſtinguerſi? </s>
  <s xml:id="echoid-s2709" xml:space="preserve">che ſon pur così tutti i <lb/>modi, et accidenti, e forme, e qualità, che <lb/>levando via i ſoggetti loro, ſi partono eſse pure <lb/>e ſi dileguano, ne aſpettano altra ragione per an-<lb/>darſene. </s>
  <s xml:id="echoid-s2710" xml:space="preserve">Ne vale il dire, che queſta non è la con-
<pb o="192" file="0216" n="216" rhead="DELLA FORZA DE’ CORPI"/>
ſuetudine della natura; </s>
  <s xml:id="echoid-s2711" xml:space="preserve">perchè ſebbene per lo più <lb/>le forze non mancano ſe non producendo il lo-<lb/>ro effetto; </s>
  <s xml:id="echoid-s2712" xml:space="preserve">non è però, che non aveſsero ogni <lb/>ragion di mancare, qualunque volta ſi toglieſse <lb/>il ſoggetto loro, benchè nulla produceſsero. </s>
  <s xml:id="echoid-s2713" xml:space="preserve">Sic-<lb/>come conſuetudine è della natura, che il colore <lb/>nel corpo non manchi, ſenza che un’ altro ve <lb/>ne ſucceda; </s>
  <s xml:id="echoid-s2714" xml:space="preserve">e tuttavia avrebbe egli ogni ragion <lb/>di mancare, quantunque niun’ altro colore gli <lb/>ſuccedeſse; </s>
  <s xml:id="echoid-s2715" xml:space="preserve">ſolo che il corpo, che n’ è il ſog-<lb/>getto, ſi levaſse. </s>
  <s xml:id="echoid-s2716" xml:space="preserve">Eſsendomi io qui taciuto, la <lb/>voſtra ſpeculazione, diſse il Signor D. </s>
  <s xml:id="echoid-s2717" xml:space="preserve">Serao, mi <lb/>piace; </s>
  <s xml:id="echoid-s2718" xml:space="preserve">ma temo, che alcuni l’ avranno per trop-<lb/>po cercata, ne vorranno conſentirvi, avendo pau-<lb/>ra di tanta ſottilità. </s>
  <s xml:id="echoid-s2719" xml:space="preserve">Quaſi che un’ argomento, <lb/>riſpoſi io, doveſse averſi per falſo, perchè è ſta-<lb/>to cercato. </s>
  <s xml:id="echoid-s2720" xml:space="preserve">Ma io non veggo, che gran ſottigliez-<lb/>za ſia in queſto. </s>
  <s xml:id="echoid-s2721" xml:space="preserve">E’ egli forſe così gran ſottigliez-<lb/>za il dire, che il ſoggetto della forza viva è il <lb/>corpo, in quanto è moſso? </s>
  <s xml:id="echoid-s2722" xml:space="preserve">O è gran ſottigliezza <lb/>il dire, che, mancando il ſoggetto, non altro ſi <lb/>ricerchi, perchè mancar debba la qualità? </s>
  <s xml:id="echoid-s2723" xml:space="preserve">E ſe <lb/>queſte due coſe ſon vere, la conſeguenza non <lb/>viene ella da ſe, ſenza aſpettar pure d’ eſser cer-<lb/>cata? </s>
  <s xml:id="echoid-s2724" xml:space="preserve">Sono alcuni però così tardi, diſse il Signor <lb/>D. </s>
  <s xml:id="echoid-s2725" xml:space="preserve">Serao, che non intenderanno queſto ſteſso. <lb/></s>
  <s xml:id="echoid-s2726" xml:space="preserve">Non però i Leibniziani, riſpoſi io, che ſono fi-<lb/>loſofi acutiſſimi, ſe mai al mondo ne furono, e <lb/>non hanno in tal laude chi gli ſuperi. </s>
  <s xml:id="echoid-s2727" xml:space="preserve">E’ vero, <lb/>diſse allora il Signor D. </s>
  <s xml:id="echoid-s2728" xml:space="preserve">Nicola; </s>
  <s xml:id="echoid-s2729" xml:space="preserve">et io credo, che
<pb o="193" file="0217" n="217" rhead="LIBRO II."/>
eſſi non vorranno valerſi di quella voſtra riſpo-<lb/>ſta contra Carteſiani piuttoſto per un’ altra ragio-<lb/>ne, la qual’ è, che incontrandoſi due corpi du-<lb/>riſſimi, e niente eſercitandoſi in quell’ incontro <lb/>le forze vive, verrebbe con ciò ad offenderſi una <lb/>certa legge di natura, della quale, avendola tro-<lb/>vata eſſi, ſono oltremodo geloſi. </s>
  <s xml:id="echoid-s2730" xml:space="preserve">Voi volete di-<lb/>re, riſpoſi io, quella legge, che chiamar poſſia-<lb/>mo di continuità, per cui vogliono, che niun, <lb/>corpo trasferir ſi poſſa da uno ſtato ad’ un’ altro, <lb/>ſe non a poco a poco, e paſſando per tutti li <lb/>ſtati intermedij; </s>
  <s xml:id="echoid-s2731" xml:space="preserve">intanto che ne eſſendo in quie-<lb/>te poſſa acquiſtar ſubito qualſiſia velocità, ne a-<lb/>vendo qualſiſia velocità poſſa ritornar ſubito al-<lb/>la quiete, ma debba aver prima ricevuti l’ un, <lb/>dopo l’ altro tutti i gradi delle velocità interme-<lb/>die; </s>
  <s xml:id="echoid-s2732" xml:space="preserve">e così vogliono, che intervenga in tutte quan-<lb/>te le qualità. </s>
  <s xml:id="echoid-s2733" xml:space="preserve">Cosi è, diſſe il Signor D. </s>
  <s xml:id="echoid-s2734" xml:space="preserve">Nicola; <lb/></s>
  <s xml:id="echoid-s2735" xml:space="preserve">e per non offendere una tal legge ſi aſterranno i <lb/>Leibniziani di dire, che nell’ incontro dei corpi <lb/>duriſſimi niente ſi eſerciti la forza viva. </s>
  <s xml:id="echoid-s2736" xml:space="preserve">Voi vo-<lb/>lete, riſpoſi io allora ſorridendo, tirarmi alla ſe-<lb/>conda di quelle due ragioni, che adduce il Padre <lb/>Riccati, e che io ho detto poco ſopra, parermi <lb/>due cerimonie. </s>
  <s xml:id="echoid-s2737" xml:space="preserve">Ma ſe ho da dirvi la verità, que-<lb/>ſta ragione non l’ bo gran fatto eſaminata; </s>
  <s xml:id="echoid-s2738" xml:space="preserve"><lb/>non che io non l’ abbia creduta molto inge-<lb/>gnoſa; </s>
  <s xml:id="echoid-s2739" xml:space="preserve">ma mi è paruta inutile e fuor di propo-<lb/>ſito; </s>
  <s xml:id="echoid-s2740" xml:space="preserve">e così parendomi, ſono ſtato men diligente <lb/>nel leggerla. </s>
  <s xml:id="echoid-s2741" xml:space="preserve">Però quì è meglio, che la eſpon-
<pb o="194" file="0218" n="218" rhead="DELLA FORZA DE’ CORPI"/>
ghiate voi, il qual pare, che l’ abbiate letta e <lb/>conſiderata meglio. </s>
  <s xml:id="echoid-s2742" xml:space="preserve">Io l’ ho letta, diſſe il Signor <lb/>D. </s>
  <s xml:id="echoid-s2743" xml:space="preserve">Niccola, e conſiderata anche oggi col Signor <lb/>Marcheſe di Campo Hermoſo, eſſendo nella li-<lb/>breria del Signor Governatore. </s>
  <s xml:id="echoid-s2744" xml:space="preserve">Ma non ſo già, <lb/>perchè ella abbia dovuto parervi fuor di propoſi-<lb/>to. </s>
  <s xml:id="echoid-s2745" xml:space="preserve">Perchè, diſſi, ſe noi ponghiamo, che due <lb/>corpi duriſſimi, incontrandoſi, ſubito ſi fermino; <lb/></s>
  <s xml:id="echoid-s2746" xml:space="preserve">già abbiamo per queſto ſteſſo diſprezzata la legge <lb/>della continuità, faccendo, che due corpi da quel-<lb/>la velocità, che hanno, paſſino toſto alla quiete. </s>
  <s xml:id="echoid-s2747" xml:space="preserve"><lb/>Ne accade il cercar poi, ſe ceſſando in quell’ in-<lb/>contro di eſercitarſi la forza viva, venga di nuo-<lb/>vo a diſprezzarſi la legge della continuità; </s>
  <s xml:id="echoid-s2748" xml:space="preserve">alla <lb/>quale chi ha contravvenuto la prima volta non te-<lb/>merà di contravvenir la ſeconda. </s>
  <s xml:id="echoid-s2749" xml:space="preserve">Il perchè parmi, <lb/>che il Padre Riccati o ſoſtenendo la continuità ne-<lb/>gar doveſſe, che i corpi ſi fermino, o laſciando, <lb/>che ſi fermino, non doveſſe cercar più la continui-<lb/>tà. </s>
  <s xml:id="echoid-s2750" xml:space="preserve">E perciò mi parve quella ſua ragione fuor di <lb/>propoſito. </s>
  <s xml:id="echoid-s2751" xml:space="preserve">A me però piacerebbe, diſſe quivi la <lb/>Signora Principeſſa, di intenderla; </s>
  <s xml:id="echoid-s2752" xml:space="preserve">perchè io av-<lb/>viſo, che debba eſſere una ragion molto forte. </s>
  <s xml:id="echoid-s2753" xml:space="preserve"><lb/>Come? </s>
  <s xml:id="echoid-s2754" xml:space="preserve">riſpoſi io. </s>
  <s xml:id="echoid-s2755" xml:space="preserve">Perchè, diſſe ella, parmi che <lb/>voi ſtudiate di declinarla, dicendo, che è fuor di <lb/>propoſito; </s>
  <s xml:id="echoid-s2756" xml:space="preserve">et io ho udito dire a molti ſavj uomi-<lb/>ni, eſſer’ uſo degli oratori, ove incontriſi alcuna <lb/>obiezion molto forte, mettere ogni ſtudio per if-<lb/>fuggirla. </s>
  <s xml:id="echoid-s2757" xml:space="preserve">Qui tutti riſero, et io diſſi: </s>
  <s xml:id="echoid-s2758" xml:space="preserve">giacchè voi, <lb/>Signora, avendomi per oratore, poco di me vi fi-
<pb o="195" file="0219" n="219" rhead="LIBRO II."/>
date, anche per queſto fie meglio, che la ragione <lb/>del Padre Riccati vi ſia eſpoſta dal noſtro Signor <lb/>D. </s>
  <s xml:id="echoid-s2759" xml:space="preserve">Nicola, il quale benchè ſia più eloquente di <lb/>me, a voi però pare, che abbia meno artificio; </s>
  <s xml:id="echoid-s2760" xml:space="preserve">e <lb/>queſto ſorſe è l’ effetto d’ un’ artificio maggiore. <lb/></s>
  <s xml:id="echoid-s2761" xml:space="preserve">Allora la Signora Principeſſa tuttavia ridendo diſ-<lb/>ſe: </s>
  <s xml:id="echoid-s2762" xml:space="preserve">come vi piace. </s>
  <s xml:id="echoid-s2763" xml:space="preserve">E il Signor D. </s>
  <s xml:id="echoid-s2764" xml:space="preserve">Nicola ſubito <lb/>preſe a dire. </s>
  <s xml:id="echoid-s2765" xml:space="preserve">Io eſporrò la ragione del Padre Ric-<lb/>cati, e farollo per modo, che non avrete a temer <lb/>d’ artificio; </s>
  <s xml:id="echoid-s2766" xml:space="preserve">e ſe d’ alcuna coſa non mi ſovveniſ-<lb/>ſe, potrà avviſarmene il Signor Marcheſe di Cam-<lb/>po Hermoſo, con cui oggi l’ ho letta; </s>
  <s xml:id="echoid-s2767" xml:space="preserve">ſenza che <lb/>io ho qui il libro ſteſſo. </s>
  <s xml:id="echoid-s2768" xml:space="preserve">Egli dunque non è qui-<lb/>ſtion d’ altro; </s>
  <s xml:id="echoid-s2769" xml:space="preserve">ſe non ſe di vedere, ſe, incontran-<lb/>doſi i corpi duriſſimi, e niente eſercitandoſi in <lb/>quell’ incontro le forze vive, ſia ciò contrario al-<lb/>la legge della continuità. </s>
  <s xml:id="echoid-s2770" xml:space="preserve">Il Padre Riccati dice <lb/>eſſer contrario, e lo dimoſtra molto ingegnoſamen. </s>
  <s xml:id="echoid-s2771" xml:space="preserve"><lb/>te, introducendo una ſerie infinita di contuſioni <lb/>ſempre più piccole a queſto modo. </s>
  <s xml:id="echoid-s2772" xml:space="preserve">Sienoi due <lb/>corpi, che con eguali quantità di moto, come or <lb/>ſupponghiamo, ſi incontrano, prima alquanto du-<lb/>ri; </s>
  <s xml:id="echoid-s2773" xml:space="preserve">e nell’ incontrarſi producano in loro una qual-<lb/>ſiſia contuſione. </s>
  <s xml:id="echoid-s2774" xml:space="preserve">Egli è certo, che in quella con-<lb/>tuſione, qualunque ſiaſi, agiſce e ſi eſercita tutta <lb/>la forza viva, che hanno. </s>
  <s xml:id="echoid-s2775" xml:space="preserve">Sieno i corpi alquan-<lb/>to più duri; </s>
  <s xml:id="echoid-s2776" xml:space="preserve">ſarà la contuſione minore; </s>
  <s xml:id="echoid-s2777" xml:space="preserve">e non per <lb/>tanto ſi eſerciterà in eſſa tutta la forza viva; </s>
  <s xml:id="echoid-s2778" xml:space="preserve">e <lb/>divenendo i corpi ſempre più duri, diverrà la con-<lb/>tuſione ſempre minore, e tutta la forza viva de
<pb o="196" file="0220" n="220" rhead="DELLA FORZA DE’ CORPI"/>
corpi ne più ne meno ſi eſerciterà ſempre in eſſa. <lb/></s>
  <s xml:id="echoid-s2779" xml:space="preserve">Per queſta ſuppoſizione, come ognun vede, noi <lb/>avremo una ſerie di infinite contuſioni ſempre più <lb/>piccole corriſpondente ad una ſerie di infiniti cor-<lb/>pi ſempre più duri; </s>
  <s xml:id="echoid-s2780" xml:space="preserve">e la ſerie delle contuſioni ver-<lb/>rà finalmente a terminarſi nella contuſion nulla, <lb/>che ſi farà ne corpi duriſſimi. </s>
  <s xml:id="echoid-s2781" xml:space="preserve">Or dunque ſe eſer-<lb/>citandoſi tutta la forza viva in ogni contuſion del-<lb/>la ſerie, quando s’ incontrano corpi più e più du-<lb/>ri, laſciaſſe poi di eſercitarſi ſolo nell’ ultima, quan-<lb/>do s’ incontrano i corpi duriſſimi; </s>
  <s xml:id="echoid-s2782" xml:space="preserve">voi vedete, che <lb/>l’ eſercizio di eſſa eſſendo ſtato ſempre il medeſi-<lb/>mo in tutti gli altri termini della ſerie, manche-<lb/>rebbe ad’ un’ tratto nell’ ultimo; </s>
  <s xml:id="echoid-s2783" xml:space="preserve">il che cerro è <lb/>contrario alla legge della continuità, alla quale <lb/>non dee contravvenirſi. </s>
  <s xml:id="echoid-s2784" xml:space="preserve">E ſe il Padre Riccati vi ha <lb/>perdonato il primo peccato, laſciando, che i due <lb/>corpi duriſſimi, che voi ſupponete, nell’ incontro <lb/>loro toſto ſi fermino, il che pure era contrario <lb/>alla legge della continuità, non s’ è egli obbliga-<lb/>to per ciò di perdonarvi il ſecondo; </s>
  <s xml:id="echoid-s2785" xml:space="preserve">et ha forſe <lb/>voluto darvi tempo di ravvedervi da voi ſteſſo. </s>
  <s xml:id="echoid-s2786" xml:space="preserve"><lb/>Avendo così detto il Signor D. </s>
  <s xml:id="echoid-s2787" xml:space="preserve">Niccola, ſorriſe <lb/>alquanto. </s>
  <s xml:id="echoid-s2788" xml:space="preserve">Et io, non ſo, riſpofi, che gran pec-<lb/>cato ſia contravvenire in una qualche ſuppoſizione <lb/>a coteſta legge della continuità, la qual non è <lb/>forſe nella natura; </s>
  <s xml:id="echoid-s2789" xml:space="preserve">e quando anche vi foſſe, ſa-<lb/>rebbe tuttavia lecito ſuppor dei corpi, che la tra-<lb/>ſgrediſſero; </s>
  <s xml:id="echoid-s2790" xml:space="preserve">come talora ſe ne ſuppongono alcuni, <lb/>che traſgrediſcon le leggi della gravità. </s>
  <s xml:id="echoid-s2791" xml:space="preserve">Se ſia nella
<pb o="197" file="0221" n="221" rhead="LIBRO II."/>
natura la continuità, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s2792" xml:space="preserve">Nico-<lb/>la, e ſe, eſſendovi, poſſa tuttavia il filoſofo nelle <lb/>ſue ſuppoſizioni non curarla, ſon due quiſtioni, <lb/>che potremo far poi. </s>
  <s xml:id="echoid-s2793" xml:space="preserve">Ma prima è da vedere, ſe <lb/>venga a traſgredirſi la legge della continuità, qua-<lb/>lunque volta nell’ incontro de’ corpi duriſſimi <lb/>manchi l’ eſercizio della forza viva; </s>
  <s xml:id="echoid-s2794" xml:space="preserve">perciocchè <lb/>di qui comincia la ragione del Padre Riccati, al-<lb/>la quale ſe voi non verrete ſubito, parrà alla Si-<lb/>gnora Principeſſa, che voi mettiate ſtudio per de-<lb/>clinarla. </s>
  <s xml:id="echoid-s2795" xml:space="preserve">Ecco, riſpoſi, che io vi vengo ſubito, <lb/>e dico, che ſe coteſta ragione mi parve una vol-<lb/>ta, non avendola ben inteſa, fuor di propoſito; <lb/></s>
  <s xml:id="echoid-s2796" xml:space="preserve">ora che voi me l’ avete fatta intender meglio, mi <lb/>par falſa. </s>
  <s xml:id="echoid-s2797" xml:space="preserve">Come falſa? </s>
  <s xml:id="echoid-s2798" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s2799" xml:space="preserve">Nicco-<lb/>la. </s>
  <s xml:id="echoid-s2800" xml:space="preserve">Non è egli dunque vero, che ſe nella ſerie <lb/>delle contuſioni l’ eſercizio della forza viva ſi tro-<lb/>va eſſere in tutti gli altri termini, non può per <lb/>riſpetto della continuità mancare tutto ad un trat-<lb/>to nell’ ultimo? </s>
  <s xml:id="echoid-s2801" xml:space="preserve">Queſto, riſpoſi, è lo ſteſſo, che <lb/>dire: </s>
  <s xml:id="echoid-s2802" xml:space="preserve">ſe la forza viva ſi eſercita per tutto, ove <lb/>ſi fa contuſione, dovrà eſercitarſi anche, dove <lb/>non ſe ne fa. </s>
  <s xml:id="echoid-s2803" xml:space="preserve">Che è ciò? </s>
  <s xml:id="echoid-s2804" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s2805" xml:space="preserve">Nic-<lb/>cola; </s>
  <s xml:id="echoid-s2806" xml:space="preserve">et io, non dite voi, ripigliai, che in tutti <lb/>gli altri termini della ſerie ha qualche contuſio-<lb/>ne, fuor che nell’ ultimo, in cui non ne ha niu-<lb/>na? </s>
  <s xml:id="echoid-s2807" xml:space="preserve">e argomentate, che debba nell’ ultimo eſer-<lb/>citarſi la forza viva, perciocchè ſi eſercita in tut-<lb/>ti gli altri? </s>
  <s xml:id="echoid-s2808" xml:space="preserve">voi dunque argomentate, che la for-<lb/>za viva debba eſercitarſi, dove non è contuſione,
<pb o="198" file="0222" n="222" rhead="DELLA FORZA DE’ CORPI"/>
perciocchè ſi eſercita dove ne è. </s>
  <s xml:id="echoid-s2809" xml:space="preserve">A coteſto modo <lb/>potreſte anche argomentare, che ſe la penna ſi ri-<lb/>chiede a ſcrivere ſette verſi, e la ſteſſa anche a <lb/>ſcriverne ſei, e la ſteſſa a cinque, e così di mano <lb/>in mano, dovrà la ſteſſa richiederſi anche a non <lb/>ſcriverne niuno. </s>
  <s xml:id="echoid-s2810" xml:space="preserve">Il quale argomento vedete, c<unsure/>o-<lb/>me i dialettici ſieno per comportarvelo; </s>
  <s xml:id="echoid-s2811" xml:space="preserve">che anzi ar-<lb/>gomentando dal contrario direbbono: </s>
  <s xml:id="echoid-s2812" xml:space="preserve">la penna ſi <lb/>richiede a ſcriver dei verſi, dunque a non ſcriver-<lb/>ne non ſi richiederà; </s>
  <s xml:id="echoid-s2813" xml:space="preserve">e ſimilmente: </s>
  <s xml:id="echoid-s2814" xml:space="preserve">a fare qualſiſia <lb/>contuſione adopraſi la forza viva, dunque a non <lb/>farne niuna, non ſi adoprerà. </s>
  <s xml:id="echoid-s2815" xml:space="preserve">Qui il Signor D. <lb/></s>
  <s xml:id="echoid-s2816" xml:space="preserve">Niccola ridendo, queſta iſteſſa ſottigliezza, diſſe, <lb/>mi aveva oggi propoſta il Sig. </s>
  <s xml:id="echoid-s2817" xml:space="preserve">Marcheſe di Cam-<lb/>po Hermoſo, a cui ſubito ho riſpoſto, che mi <lb/>parea ſimile alle voſtre. </s>
  <s xml:id="echoid-s2818" xml:space="preserve">Allora io rivolto al Si-<lb/>gnor Marcheſe, piacemi, diſſi, che voi conſen-<lb/>tiate meco, e ſiate amico della mia opinione. </s>
  <s xml:id="echoid-s2819" xml:space="preserve">Io <lb/>cominciava ad eſſere, diſſe il Signor Marcheſe; </s>
  <s xml:id="echoid-s2820" xml:space="preserve"><lb/>ma tante coſe mi ha poi dette il Signor D. </s>
  <s xml:id="echoid-s2821" xml:space="preserve">Nic-<lb/>cola, che me ne ha diſtolto. </s>
  <s xml:id="echoid-s2822" xml:space="preserve">Ditelemi di gra-<lb/>zia, riſpoſi. </s>
  <s xml:id="echoid-s2823" xml:space="preserve">Le dirò, diſſe il Signor Marcheſe, <lb/>ſe egli me ne darà licenza, e vorrà correggermi, <lb/>dove io erri. </s>
  <s xml:id="echoid-s2824" xml:space="preserve">Ne di licenza, diſſe il Signor D. </s>
  <s xml:id="echoid-s2825" xml:space="preserve"><lb/>Niccola, avete voi biſogno, ne di correzione; </s>
  <s xml:id="echoid-s2826" xml:space="preserve"><lb/>pur l’ una potete prendervi, ſe credete di aver-<lb/>ne biſogno; </s>
  <s xml:id="echoid-s2827" xml:space="preserve">ne l’ altra vi negherò io, ſe mi par-<lb/>rà, che l’ abbiate. </s>
  <s xml:id="echoid-s2828" xml:space="preserve">Ben vi di<unsure/>co, che ſtiate ſopra <lb/>di voi con queſt’ uomo. </s>
  <s xml:id="echoid-s2829" xml:space="preserve">Di che avendo ſorriſo <lb/>il Signor Marcheſe, così incominciò: </s>
  <s xml:id="echoid-s2830" xml:space="preserve">la legge
<pb o="199" file="0223" n="223" rhead="LIBRO II."/>
della continuità non richiede già ella, che nella <lb/>ſerie delle contuſioni, di cui s’ è detto, la forza <lb/>viva debba agire nell’ ultima, che è la contuſion <lb/>nulla; </s>
  <s xml:id="echoid-s2831" xml:space="preserve">anzi permette, che in queſta niente agiſca; <lb/></s>
  <s xml:id="echoid-s2832" xml:space="preserve">ben vorrebbe, che dovendo l’ azicne della forza <lb/>viva eſſer nulla nell’ ultima contuſione, comin-<lb/>ciaſſe a ſminuirſi nelle contuſioni antecedenti, ne <lb/>arrivaſſe ad eſſer nulla ſe non che a poco a po-<lb/>co; </s>
  <s xml:id="echoid-s2833" xml:space="preserve">il che ella non faccendo, perciocchè in tutte <lb/>le antecedenti contuſioni è ſempre la medeſima, <lb/>perciò contravviene alla continuità. </s>
  <s xml:id="echoid-s2834" xml:space="preserve">Voi volete <lb/>dire, ripreſi io allora, che ſecondo la legge <lb/>della continuità, l’ azione della forza viva non <lb/>può nell’ ultima contuſione eſſer nulla, ſe <lb/>prima non ſi è a poco a poco ſminuita. </s>
  <s xml:id="echoid-s2835" xml:space="preserve"><lb/>Così è, diſſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s2836" xml:space="preserve">Ma non <lb/>ſi è ſminuita, ſeguitai io; </s>
  <s xml:id="echoid-s2837" xml:space="preserve">dunque ſecondo la leg-<lb/>ge della continuità, non può l’ azione della for-<lb/>za viva nell’ ultima contuſione eſser nulla; </s>
  <s xml:id="echoid-s2838" xml:space="preserve">e così <lb/>ritorna quell’ argomento fallaciſſimo: </s>
  <s xml:id="echoid-s2839" xml:space="preserve">la forza vi. </s>
  <s xml:id="echoid-s2840" xml:space="preserve"><lb/>va agiſce, dovunque ſi fa contuſione, dunque an-<lb/>che dove non ſe ne fa. </s>
  <s xml:id="echoid-s2841" xml:space="preserve">Anzi io dico, rifpoſe qui-<lb/>vi il Signor Marcheſe, che ſe l’ azione della forza <lb/>viva divien nulla ne corpi duriſſimi, dove non è <lb/>contuſion niuna, biſogna, che negli altri men du-<lb/>ri, ne quali le contuſioni ſi fanno ſempre minori, <lb/>ſi ſia ſminuita a poco a poco: </s>
  <s xml:id="echoid-s2842" xml:space="preserve">e queſto è quello, <lb/>che richiede la legge della continuità. </s>
  <s xml:id="echoid-s2843" xml:space="preserve">E che ri-<lb/>chiederà ella dunque, riſpoſi io, coteſta legge, ſe <lb/>l’ azione della forza viva non s’ è ſminuita? </s>
  <s xml:id="echoid-s2844" xml:space="preserve">Io non
<pb o="200" file="0224" n="224" rhead="DELLA FORZA DE’ CORPI"/>
mi ſpiego forſe abbaſtanza, diſse il Signor Mar-<lb/>cheſe. </s>
  <s xml:id="echoid-s2845" xml:space="preserve">Ma la legge della continuità certamente ri-<lb/>chiede, che l’ azione della forza viva o non ſia <lb/>nulla nell’ ultima contuſione, o ſe è nulla nell’ ul-<lb/>tima, abbia cominciato a ſminuirſi nelle antece-<lb/>denti. </s>
  <s xml:id="echoid-s2846" xml:space="preserve">Noi torniamo, riſpoſi, a quello ſteſso; </s>
  <s xml:id="echoid-s2847" xml:space="preserve">per-<lb/>chè ſe la legge della continuità richiede o l’ una <lb/>o l’ altra delle due coſe, mancando l’ una, richie-<lb/>derà l’ altra; </s>
  <s xml:id="echoid-s2848" xml:space="preserve">e però mancando lo ſminuimento <lb/>dell’ azione nelle contuſioni antecedenti, richie-<lb/>derà, che l’ azione non debba eſser nulla nell’ al. <lb/></s>
  <s xml:id="echoid-s2849" xml:space="preserve">tima; </s>
  <s xml:id="echoid-s2850" xml:space="preserve">e così vi ricondurrà a quella ſteſſa fallacia: </s>
  <s xml:id="echoid-s2851" xml:space="preserve"><lb/>la forza viva agiſce dove ſi fa contuſione, dun-<lb/>que anche dove non ſi fa. </s>
  <s xml:id="echoid-s2852" xml:space="preserve">Dunque, diſſe il Si-<lb/>gnor Marcheſe, ſe io avrò una certa quantità o <lb/>forma coſtante, la qual tenga dietro a tutti gli <lb/>altri termini di una qualche ſerie, accompagnan-<lb/>doſi con ciaſcuno, io non potrò argomentar per <lb/>queſto, che debba la ſteſſa accompagnarſi ancor <lb/>con l’ ultimo. </s>
  <s xml:id="echoid-s2853" xml:space="preserve">Voi sì potrete, riſpoſi; </s>
  <s xml:id="echoid-s2854" xml:space="preserve">e ſe l’ ar-<lb/>gomentar voſtro non ſarà evidente, ſarà tut-<lb/>tavia molto probabile. </s>
  <s xml:id="echoid-s2855" xml:space="preserve">Ma nol potrò già io, diſ-<lb/>ſe il Signor Marcheſe, nel caſo noſtro. </s>
  <s xml:id="echoid-s2856" xml:space="preserve">Perchè? </s>
  <s xml:id="echoid-s2857" xml:space="preserve"><lb/>riſpoſi. </s>
  <s xml:id="echoid-s2858" xml:space="preserve">Et egli: </s>
  <s xml:id="echoid-s2859" xml:space="preserve">perchè avendo noi propoſta una <lb/>ſerie di contuſioni, voi volete, che in tutte le al-<lb/>tre contuſioni ſi adopri la medeſima azione della <lb/>forza viva; </s>
  <s xml:id="echoid-s2860" xml:space="preserve">ma non nell’ ultima. </s>
  <s xml:id="echoid-s2861" xml:space="preserve">Quale è, diſſi, <lb/>queſt’ ultima? </s>
  <s xml:id="echoid-s2862" xml:space="preserve">Queſt’ ultima, riſpoſe il Signor <lb/>Marcheſe, è la contuſion nulla, che ſi fa ne cor-<lb/>pi duriſſimi, nell’ incontro de’ quali voi dite,
<pb o="201" file="0225" n="225" rhead="LIBRO II."/>
che la forza viva niente agiſce. </s>
  <s xml:id="echoid-s2863" xml:space="preserve">Par dunque a voi, <lb/>riſpoſi io, che la contuſion nulla entri nella ſerie <lb/>delle contuſioni, e poſſa dirſene un termine? </s>
  <s xml:id="echoid-s2864" xml:space="preserve">E <lb/>perchè, diſſe il Signor Marcheſe, non vi entre-<lb/>rebbe? </s>
  <s xml:id="echoid-s2865" xml:space="preserve">Et io riſpoſi, perchè non è contuſione; <lb/></s>
  <s xml:id="echoid-s2866" xml:space="preserve">che tanto è l’ eſſere contuſion nulla, quanto è il <lb/>non eſſere contuſione di modo alcuno. </s>
  <s xml:id="echoid-s2867" xml:space="preserve">E ſe la <lb/>contuſion nulla non è contuſione, io non veggo, <lb/>come poſſa ella entrar nella ſerie delle contuſioni. </s>
  <s xml:id="echoid-s2868" xml:space="preserve"><lb/>Vi entra, riſpoſe il Signor Marcheſe, per queſto <lb/>appunto, perchè non è contuſione, e non eſſen-<lb/>do contuſione, è contuſion nulla; </s>
  <s xml:id="echoid-s2869" xml:space="preserve">poſciachè le <lb/>contuſioni, che compongon la ſerie, ſi vanno di <lb/>mano in mano ſminuendo, e vanno finalmente a <lb/>terminarſi nel nulla. </s>
  <s xml:id="echoid-s2870" xml:space="preserve">E quante ſerie fanno quello <lb/>ſteſſo! Vedete già, che la ſerie dei numeri 9, 8, 7, <lb/>procedenti contra il naturale ordin loro, come è <lb/>giunta all’ 1, cade nel nulla, che chiaman zero. </s>
  <s xml:id="echoid-s2871" xml:space="preserve"><lb/>E le ordinate nella parabola andando contro al <lb/>vertice non vanno eſſe pure a finirſi nel nulla? </s>
  <s xml:id="echoid-s2872" xml:space="preserve"><lb/>Et io nego, riſpoſi, che coteſto nulla ſia mai ter-<lb/>mine di veruna ſerie. </s>
  <s xml:id="echoid-s2873" xml:space="preserve">Ne vi concedo, che il ze-<lb/>ro entri, come termine, in quella ſerie di nume-<lb/>ri, che avete propoſta. </s>
  <s xml:id="echoid-s2874" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s2875" xml:space="preserve">diſſe il Signor Mar-<lb/>cheſe; </s>
  <s xml:id="echoid-s2876" xml:space="preserve">ogni termine di quella ſerie ſi forma levan-<lb/>do al precedente l’ unità: </s>
  <s xml:id="echoid-s2877" xml:space="preserve">così levando al 9 l’ u-<lb/>nità ſi forma l’ 8, levando all’ 8 l’ unità ſi forma <lb/>il 7, e così procedendo ſi conduce la ſerie fino <lb/>ll’ 1; </s>
  <s xml:id="echoid-s2878" xml:space="preserve">e levando poi a queſto 1 ſimilmente l’ uni-<lb/>aà ne viene il nulla, cioè ne viene quell’ ultimo
<pb o="202" file="0226" n="226" rhead="DELLA FORZA DE’ CORPI"/>
termine, in cui finiſce la ſerie. </s>
  <s xml:id="echoid-s2879" xml:space="preserve">Ne viene, riſpoſi <lb/>io, il nulla, cioè non ne vien nulla; </s>
  <s xml:id="echoid-s2880" xml:space="preserve">che mi di<unsure/>te <lb/>voi dunque, che ne viene un termine? </s>
  <s xml:id="echoid-s2881" xml:space="preserve">Anzi i<unsure/>o ſo-<lb/>ſtengo, che ſe levando dall’ 1 l’ unità non ne vien <lb/>nulla, queſto è argomento, che la ſerie è finita in <lb/>quell’ 1 ; </s>
  <s xml:id="echoid-s2882" xml:space="preserve">e quell’ 1 è l’ ultimo termine della ſerie. <lb/></s>
  <s xml:id="echoid-s2883" xml:space="preserve">Pur, diſſe il Signor Marcheſe, niun matematico, <lb/>tenendo dietro a quella ſerie, ſi fermerà nell’ 1; </s>
  <s xml:id="echoid-s2884" xml:space="preserve"><lb/>ma tutti procederanno fino al zero, avendolo per <lb/>un termine. </s>
  <s xml:id="echoid-s2885" xml:space="preserve">Se voi, diſſi, volete ſeguire l’ imma-<lb/>ginazione dei matematici, non che al zero, ma <lb/>procederanno più oltre, e vi moſtreranno altri <lb/>ed altri numeri minori del zero ſteſſo: </s>
  <s xml:id="echoid-s2886" xml:space="preserve">- 1, <lb/>-2, -3, e continveranno così la ſerie in infini-<lb/>to. </s>
  <s xml:id="echoid-s2887" xml:space="preserve">Ma queſte non ſono altro, che eſpreſſioni vio-<lb/>lente dei matematici, che eglino ſteſſi non bene in-<lb/>tendono; </s>
  <s xml:id="echoid-s2888" xml:space="preserve">e che lor ſi permettono, perchè anche <lb/>con eſſe, uſandole con certa regola, ſi conducono <lb/>al vero. </s>
  <s xml:id="echoid-s2889" xml:space="preserve">E ſimilmente lor ſi permette di innalzare <lb/>qualſiſia linea a qualſiſia dimenſione, chiuden-<lb/>do nelle loro eſpreſſioni quello, che non poſ-<lb/>ſon comprender nell’ animo. </s>
  <s xml:id="echoid-s2890" xml:space="preserve">Ma eſſi hanno ri-<lb/>dotto ad arte quell’ ardimento, e ne traggono <lb/>la verità. </s>
  <s xml:id="echoid-s2891" xml:space="preserve">Per la qual coſa ſe noi vogliamo una <lb/>ſerie, la qual ſia, non nella immaginazione <lb/>dei matematici, ma nella natura, non è da crede-<lb/>re, che entrino in eſſa ne il zero, ne il -1, ne <lb/>il -2, ne quegli altri termini, che diconſi eſſer <lb/>minori del nulla; </s>
  <s xml:id="echoid-s2892" xml:space="preserve">ma la ſerie ſi terminerà nell’ u-<lb/>nità ; </s>
  <s xml:id="echoid-s2893" xml:space="preserve">e ſe vorrà la natura aggiungere alcuna quali-
<pb o="203" file="0227" n="227" rhead="LIBRO II."/>
tà o forma a ciaſcun termine di una tal ſerie, per <lb/>riſpetto della continuità lo verrà aggiungendo a <lb/>tutti i termini di mano in mano, finchè arrivi all’ <lb/>1, e quivi ſi fermerà ; </s>
  <s xml:id="echoid-s2894" xml:space="preserve">poco curando del zero, e <lb/>di quegli altri termini minori del zero, che i ma-<lb/>tematici ſi hanno finto, e che ella non conoſce. <lb/></s>
  <s xml:id="echoid-s2895" xml:space="preserve">E queſta è la ragione, perchè nella ſerie delle con-<lb/>tuſioni propoſta dal Padre Riccati, quantunque <lb/>in ciaſcun termine, cioè in ciaſcuna contuſione, <lb/>troviſi l’ azione della forza viva; </s>
  <s xml:id="echoid-s2896" xml:space="preserve">non è però da <lb/>dire, che per riſpetto della continuità debba tro-<lb/>varſi anche nella contuſion nulla; </s>
  <s xml:id="echoid-s2897" xml:space="preserve">perchè, come <lb/>potete aver inteſo, la contuſion nulla non è un <lb/>termine di quella ſerie, ſe non nella mente dei ma-<lb/>tematici; </s>
  <s xml:id="echoid-s2898" xml:space="preserve">e la natura non l’ha per tale. </s>
  <s xml:id="echoid-s2899" xml:space="preserve">Voi mi a-<lb/>vete, diſſe quivi il Signor Marcheſe, ſoprappreſo <lb/>con coteſte ragioni. </s>
  <s xml:id="echoid-s2900" xml:space="preserve">Pur non mi ſi può levar di <lb/>teſta, che la ſerie delle ordinate in una parabola, <lb/>procedendo contro al vertice, non vada a termi-<lb/>narſi in quella, che chiamano ordinata zero, et è <lb/>un’ ordinata nulla; </s>
  <s xml:id="echoid-s2901" xml:space="preserve">e di vero trovanſi in eſſa quel-<lb/>le proprietà medeſime, che trovanſi in tutte le al-<lb/>tre, e pare che la continuità ſteſſa ve l’abbia reca-<lb/>te. </s>
  <s xml:id="echoid-s2902" xml:space="preserve">Or peichè non potrebbono quelle contuſioni, <lb/>che il Padre Riccatiha propoſto, venirſi ſminuen-<lb/>do a quel modo, che ſi ſminuiſcono le ordinate <lb/>della parabola? </s>
  <s xml:id="echoid-s2903" xml:space="preserve">così che doveſſero terminarſi eſſe <lb/>pure nella contuſion zero o nulla, a cui però do-<lb/>veſſe attribuirſi quello, che a tutte le altre contu-<lb/>ſioni s’ è attribuito, come all’ ordinata zero della
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parabola quello ſi attribuiſce, che s’ è attribuito <lb/>a tutte l’ altre. </s>
  <s xml:id="echoid-s2904" xml:space="preserve">Et io vi dico, riſpoſi, che la ſerie <lb/>delle ordinate nella parabola non ſi termina, ne <lb/>può mai terminarſi nell’ ordinata nulla; </s>
  <s xml:id="echoid-s2905" xml:space="preserve">perchè ſe <lb/>l’ ordinata è nulla, non è più ordinata. </s>
  <s xml:id="echoid-s2906" xml:space="preserve">In che dun-<lb/>que ſi termina? </s>
  <s xml:id="echoid-s2907" xml:space="preserve">diſſe il Signor Marcheſe. </s>
  <s xml:id="echoid-s2908" xml:space="preserve">Et io ri-<lb/>ſpoſi: </s>
  <s xml:id="echoid-s2909" xml:space="preserve">mai non ſi termina; </s>
  <s xml:id="echoid-s2910" xml:space="preserve">ma venendo a impic-<lb/>colirſi le ordinate a poco a poco, ſcorrono per <lb/>tutti gli ordini delle piccolezze infinite, ne mai ſi <lb/>incontran nel nulla; </s>
  <s xml:id="echoid-s2911" xml:space="preserve">il quale non è in niuno di <lb/>quegli ordini, et è fuori di tutta la ſerie. </s>
  <s xml:id="echoid-s2912" xml:space="preserve">E ſi-<lb/>milmente ſe voi levaſte ad una linea la ſua metà, <lb/>e a quel, che reſta, levaſte di nuovo la ſua metà, <lb/>e così procedeſte in infinito, componendo una. <lb/></s>
  <s xml:id="echoid-s2913" xml:space="preserve">ſerie di tutte le metà levate, ſarebbon le linee d’ <lb/>una tal ſerie, l’ una dell’ altra, ſempre più pic-<lb/>ciole; </s>
  <s xml:id="echoid-s2914" xml:space="preserve">e niuna però ne ſarebbe mai, la qual foſſe <lb/>nulla; </s>
  <s xml:id="echoid-s2915" xml:space="preserve">eſſendo ognuna la metà della precedente <lb/>linea, ne potendo il nulla eſser metà di linea veru-<lb/>na. </s>
  <s xml:id="echoid-s2916" xml:space="preserve">Et io credo, che di gran lunga ſi ingannin co-<lb/>loro, i quali penſano, che una coſa per impicco-<lb/>lirſi poſsa mai diventar nulla; </s>
  <s xml:id="echoid-s2917" xml:space="preserve">e ſi immaginano, <lb/>che le coſe piccole ſieno più facili ad annientarſi, <lb/>che le grandi. </s>
  <s xml:id="echoid-s2918" xml:space="preserve">Laonde anche ſi perſuadono, che, <lb/>ſe la natura voleſse ridurre una coſa a niente; </s>
  <s xml:id="echoid-s2919" xml:space="preserve">do-<lb/>veſse prima a poco a poco rimpiccolirla, e condu-<lb/>cendola per una ſerie di infinite piccolezze far fi-<lb/>nalmente, che ſi incontraſse nel nulla; </s>
  <s xml:id="echoid-s2920" xml:space="preserve">il qual-cammi-<lb/>no ſe la natura teneſse, non la ridurrebbe al niente <lb/>giammai; </s>
  <s xml:id="echoid-s2921" xml:space="preserve">concioſiachè il niente non troviſi
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in niuna ſerie di piccolezze, quali che eſſe ſieno. <lb/></s>
  <s xml:id="echoid-s2922" xml:space="preserve">E ſe voleſſe pur la natura ridur la coſa al nien-<lb/>te, biſognerebbe, che una volta la diſtruggeſſe <lb/>tutta ad un tratto, abbandonando tutti gli ordini <lb/>delle infinite piccolezze, e ſaltando, per così di-<lb/>re, fuor della ſerie. </s>
  <s xml:id="echoid-s2923" xml:space="preserve">Se quello è vero, che dite, <lb/>et a me par che ſia, diſſe allora il Signor Mar-<lb/>cheſe; </s>
  <s xml:id="echoid-s2924" xml:space="preserve">com’ è dunque, che i matematici van pur <lb/>tutto ’l dì nominando l’ ordinata zero, e fanno <lb/>intorno ad eſſa le dimoſtrazioni? </s>
  <s xml:id="echoid-s2925" xml:space="preserve">Ciò fanno, diſ-<lb/>ſi, perchè quell’ ordinata, che eſſi chiamano ze-<lb/>ro, non è veramente nulla; </s>
  <s xml:id="echoid-s2926" xml:space="preserve">ma per l’ infinita ſua <lb/>piccolezza credono di poterla traſcurare nelle <lb/>miſure comuni; </s>
  <s xml:id="echoid-s2927" xml:space="preserve">e cosi traſcurandola la fanno di-<lb/>ventar nulla nella lor mente. </s>
  <s xml:id="echoid-s2928" xml:space="preserve">Che ſe foſſe vera-<lb/>mente nulla in ſe ſteſſa, non potrebbono eſſi poi <lb/>averla per una lineetta compoſta di infinite altre, <lb/>come vedrete ch’ e’ fanno, maſſimamente nel cal-<lb/>colo differenziale. </s>
  <s xml:id="echoid-s2929" xml:space="preserve">Voi dunque nella ſerie delle <lb/>ordinate, che avete propoſta, ne troverete infini-<lb/>te, che ſaranno infinitamente piccole; </s>
  <s xml:id="echoid-s2930" xml:space="preserve">non ne tro-<lb/>verete niuna, che ſia veramente nulla. </s>
  <s xml:id="echoid-s2931" xml:space="preserve">E ſimil-<lb/>mente avverrà nella ſerie delle contuſioni, la quale, <lb/>come che proceda ad altre ed altre contuſioni ſem-<lb/>pre più piccole in inſinito, non però mai verrà ad <lb/>incontrarſi in una, che ſia perfettamente nulla, <lb/>come quella ſarebbe de corpi perfettamente du-<lb/>ri. </s>
  <s xml:id="echoid-s2932" xml:space="preserve">Laonde quantunque la legge della continui-<lb/>tà richiedeſſe, che l’ azione della forza viva, per <lb/>tener dietro alla ſerie delle contuſioni, ſi eſerci-
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taſſe in tutte egualmente, eziandi<unsure/>o nelle infinita-<lb/>mente piccole; </s>
  <s xml:id="echoid-s2933" xml:space="preserve">non per ciò richi<unsure/>ederebbe, che el-<lb/>la doveſſe anche eſercitarſi nella contuſione de cor-<lb/>pi perfettamente duri, la quale eſſendo veramen-<lb/>te nulla, non entra, ne può entrare in quella ſe-<lb/>rie. </s>
  <s xml:id="echoid-s2934" xml:space="preserve">E chi voleſſe ſupporre tali corpi, e diceſſe, <lb/>niente eſercitarſi nel loro incontro la forza viva, <lb/>non offenderebbe in niun modo la legge della <lb/>continuità. </s>
  <s xml:id="echoid-s2935" xml:space="preserve">Eſſendomi io qui taciuto non meno, <lb/>che il Signor Marcheſe di Campo Hermoſo; </s>
  <s xml:id="echoid-s2936" xml:space="preserve">man-<lb/>co male, diſſe il Signor D. </s>
  <s xml:id="echoid-s2937" xml:space="preserve">Serao, che queſto gio-<lb/>vane ha ſtudiata la dialettica in Alcalà ; </s>
  <s xml:id="echoid-s2938" xml:space="preserve">ne men <lb/>vi volea per tener dietro alle voſtre ſottigliezze. <lb/></s>
  <s xml:id="echoid-s2939" xml:space="preserve">Ma tante già ne avete dette, che la Signora Prin-<lb/>cipeſſa ne ſarà ſazia, e vorrà bene, che voi venia-<lb/>te all’ altra parte della voſtra propoſta. </s>
  <s xml:id="echoid-s2940" xml:space="preserve">Queſte <lb/>ſottigliezze, diſſe la Signora Principeſſa, mi ſo-<lb/>no piaciute, perchè potrebbono anche eſſer ve-<lb/>re. </s>
  <s xml:id="echoid-s2941" xml:space="preserve">Ne però meno mi piacerà, che ſi venga all’ <lb/>altra parte, che voi dite. </s>
  <s xml:id="echoid-s2942" xml:space="preserve">Qual è? </s>
  <s xml:id="echoid-s2943" xml:space="preserve">diſſi io allora. </s>
  <s xml:id="echoid-s2944" xml:space="preserve"><lb/>Voi diceſte, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s2945" xml:space="preserve">Serao, che ſup-<lb/>ponendoſi i corpi duriſſimi, e dicendoſi, che la <lb/>forza viva niente ſi eſerciterebbe nel loro incon-<lb/>tro, ciò nulla offenderebbe la legge della conti-<lb/>nuità; </s>
  <s xml:id="echoid-s2946" xml:space="preserve">e di queſto avete già favellato abbaſtanza; </s>
  <s xml:id="echoid-s2947" xml:space="preserve"><lb/>forſe anche troppo. </s>
  <s xml:id="echoid-s2948" xml:space="preserve">Aggiungeſte poi, che quand’ <lb/>anche quella ſuppoſizione foſſe contraria alla leg-<lb/>ge della continuità, pur non ſarebbe da rifiutar-<lb/>ſi; </s>
  <s xml:id="echoid-s2949" xml:space="preserve">eſſendo lecito ſecondo voi formar talvolta ſup-<lb/>poſizioni contrarie alle leggi ſteſſe della natura,
<pb o="207" file="0231" n="231" rhead="LIBRO II."/>
le quali leggi ſtringono i corpi, che ſono; </s>
  <s xml:id="echoid-s2950" xml:space="preserve">non <lb/>quei, che ſi fingono. </s>
  <s xml:id="echoid-s2951" xml:space="preserve">Aggiunſi ancora, diſſi io <lb/>quivi, che la legge ſteſſa della continuità io non <lb/>ſo, ſe ſia veramente nella natura. </s>
  <s xml:id="echoid-s2952" xml:space="preserve">Anche di que-<lb/>ſto dunque, diſſe il Signor D. </s>
  <s xml:id="echoid-s2953" xml:space="preserve">Serao, ſarà bene <lb/>dir poi. </s>
  <s xml:id="echoid-s2954" xml:space="preserve">Ora piacemi, ſe piace a coteſti Signori, <lb/>che ci moſtriate, come ſia lecito ai filoſofi formare <lb/>una ſuppoſizione, che a qualche volta ſia contra-<lb/>ria alle leggi della natura; </s>
  <s xml:id="echoid-s2955" xml:space="preserve">perchè io metto pure <lb/>tra le leggi della natura la continuità, e così ne <lb/>ſono geloſo, che non vorrei, che la oſſervaſſero <lb/>ſolamente i corpi, che ſono, ma quelli ancora, <lb/>che ſi ſuppongono. </s>
  <s xml:id="echoid-s2956" xml:space="preserve">Se voi, riſpoſi, ne ſiete geloſo <lb/>fino a queſto ſegno, biſogna ben dire che voi ſia-<lb/>te oltre modo geloſo. </s>
  <s xml:id="echoid-s2957" xml:space="preserve">Perciocchè quante altre <lb/>leggi ha nella natura, che i filoſofi traſcurano nei <lb/>corpi, che piace lor di ſupporre; </s>
  <s xml:id="echoid-s2958" xml:space="preserve">e non per tan-<lb/>to ſi hanno per buone le ſuppoſizioni loro? </s>
  <s xml:id="echoid-s2959" xml:space="preserve">Qual <lb/>coſa più contraria alle leggi della natura, che ſup-<lb/>porre una verga, la cui gravità ſia tutta raccolta <lb/>in un ſol punto? </s>
  <s xml:id="echoid-s2960" xml:space="preserve">pur ſi concede ai filoſofi di ſup-<lb/>porla per trovar le leggi dei pendoli. </s>
  <s xml:id="echoid-s2961" xml:space="preserve">Quanti di <lb/>queſti eſempi potrei addurvi, per cui chiaro ap-<lb/>parirebbe eſſere già tra i ſiloſofi una licenza quaſi <lb/>comune di formar ſuppoſizioni, che ſi oppongo-<lb/>no alle leggi della natura, ne ſono però meno <lb/>utili, ne meno comode! Voi queſto, diſſe qui-<lb/>vi la Signora Principeſſa, mi avete perſuaſo con <lb/>l’ eſempio dei pendoli; </s>
  <s xml:id="echoid-s2962" xml:space="preserve">pur non poſso negarvi, <lb/>che il ſuppor coſa, che ſi opponga a qualche leg-
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ge della natura, a prima viſta non mi ſpaventi, <lb/>parendomi, che non poſsa naſcerne, ſe non di-<lb/>ſordine e conſuſione. </s>
  <s xml:id="echoid-s2963" xml:space="preserve">Il Padre Riccati, diſse qui-<lb/>vi il Signor D. </s>
  <s xml:id="echoid-s2964" xml:space="preserve">Niccola, ne è in grandiſſimo ti-<lb/>more ancora egli, prevedendo ruine ſpaventevo-<lb/>li. </s>
  <s xml:id="echoid-s2965" xml:space="preserve">Quali ruine? </s>
  <s xml:id="echoid-s2966" xml:space="preserve">diſse la Signora Principeſsa; </s>
  <s xml:id="echoid-s2967" xml:space="preserve">a <lb/>cui riſpoſe il Signor D. </s>
  <s xml:id="echoid-s2968" xml:space="preserve">Niccola: </s>
  <s xml:id="echoid-s2969" xml:space="preserve">dice il Padre <lb/>Riccati, ſe non m’ inganno, alla pagina 343. <lb/></s>
  <s xml:id="echoid-s2970" xml:space="preserve">(acciocchè non ſia queſti quel ſolo, che ſi ricor-<lb/>da le pagine) che ſe una ſola legge della natu-<lb/>ra veniſse meno, gli parrebbe che l’ univerſo ſi <lb/>ſconvolgeſse, e ritornaſse toſto nel caos. </s>
  <s xml:id="echoid-s2971" xml:space="preserve">E ſe <lb/>alcun’ uomo aveſse pur l’ ardimento di ſuppor-<lb/>re tal coſa, mancherebbongli di preſente i prin-<lb/>cipj della ragione, ne avrebbe più modo ne via <lb/>di ſtabilire più toſto una concluſione, che un’ al-<lb/>tra. </s>
  <s xml:id="echoid-s2972" xml:space="preserve">Voi vedrete queſti timori, leggendo il dia-<lb/>logo decimo. </s>
  <s xml:id="echoid-s2973" xml:space="preserve">Io non ſon tanto pauroſa, diſſe la <lb/>Signora Principeſſa, quanto è il Padre Riccati; </s>
  <s xml:id="echoid-s2974" xml:space="preserve"><lb/>il quale non potrà mai decidere, ſe una coſa, la <lb/>qual ſia fuori delle leggi della natura, ſia però in <lb/>ſe ſteſsa poſſibile; </s>
  <s xml:id="echoid-s2975" xml:space="preserve">perciocchè non arriſchiandoſi <lb/>di ſupporla, non potrà mai eſaminarla. </s>
  <s xml:id="echoid-s2976" xml:space="preserve">In fatti, <lb/>diſse il Signor D. </s>
  <s xml:id="echoid-s2977" xml:space="preserve">Niccola, egli non vuol ne con-<lb/>cedere, che i corpi perfettamente duri ſieno poſ-<lb/>ſibili, ne negarlo; </s>
  <s xml:id="echoid-s2978" xml:space="preserve">e come giunge a queſto luo-<lb/>go, ſi umilia, e venera i conſigli della divina ſa-<lb/>pienza, e laſcia ai preſontuoſi il quiſtionare ſopra <lb/>l’ incontro di due corpi duriſſimi. </s>
  <s xml:id="echoid-s2979" xml:space="preserve">Se queſta è pre-<lb/>ſunzione, diſſe la Signora Principeſsa, io ho a
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ſcrupolo tutta la filoſofia; </s>
  <s xml:id="echoid-s2980" xml:space="preserve">parendomi, che poche <lb/>quiſtioni abbia men ſublimi di queſta. </s>
  <s xml:id="echoid-s2981" xml:space="preserve">Indi a me <lb/>rivolta, deſidero bene, diſſe, che, poichè voi non <lb/>avete tanta paura, e vi dà l’ animo di ſuppor coſe <lb/>alle leggi della natura contrarie, mi diſcopriate, <lb/>come ciò poſſa farſi ſenza timore. </s>
  <s xml:id="echoid-s2982" xml:space="preserve">Et io allora così <lb/>incominciai: </s>
  <s xml:id="echoid-s2983" xml:space="preserve">Signora, facil coſa ſarebbe e molto <lb/>ſpedita il ſoddisfarvi; </s>
  <s xml:id="echoid-s2984" xml:space="preserve">ſe i filoſofi, che oggidì fanno <lb/>tanto rumore delle leggi della natura, e non hanno <lb/>altro in bocca, aveſſero poſto cura di ſpiegare di-<lb/>ligentemente quello, che per nome di legge voglia-<lb/>ſi intendere; </s>
  <s xml:id="echoid-s2985" xml:space="preserve">ma, non ſo come, più vaghi di nomi, <lb/>che di diffinizioni, hanno cominciato a introdur <lb/>voci, et a riceverne, a guiſa che il popolo fa, ſen-<lb/>za determinarne il ſignificato. </s>
  <s xml:id="echoid-s2986" xml:space="preserve">E troverete moltiſ-<lb/>ſimi, che altro mai non nominano nei lor diſcorſi, <lb/>che idea chiara e diſtinta, ſemplicità della natura, <lb/>analogia, legge, ed alrri nomi ſomiglianti; </s>
  <s xml:id="echoid-s2987" xml:space="preserve">e pochiſ-<lb/>ſimi troverete, ſe ne troverete alcuno, ai quali ſof-<lb/>fra l’animo di fermarſi a ſpiegarne con diligenza la <lb/>ſignificazione; </s>
  <s xml:id="echoid-s2988" xml:space="preserve">di che tanto più ſono a mio giudicio <lb/>da riprendere, che di queſti ſteſſi nomi ſi ſervo-<lb/>no nel formar le regole del vero e diritto argo-<lb/>mentare; </s>
  <s xml:id="echoid-s2989" xml:space="preserve">onde altro che conſuſione e oſcurità non <lb/>può naſcere. </s>
  <s xml:id="echoid-s2990" xml:space="preserve">Ma venendo al nome di legge, che <lb/>tanto oggidì s’ uſa nelle ſcuole de’ſiſici, egli è <lb/>certamente uno di quelli, che, non eſſendo ſtati <lb/>fino ad ora ſtretti da niuna certa diffinizione, van-<lb/>no vagando liberamente, e prendendo ora un ſen <lb/>timento, et ora un’ altro, di che molti non avve-
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dendoſi ſi inganano. </s>
  <s xml:id="echoid-s2991" xml:space="preserve">Io dunque per non errare, <lb/>qualor ſento profferir legge di natura, prima di <lb/>acconſentire a ciò, che altri ne dice, ſoglio con-<lb/>ſiderare attentamente, in qual ſignificato prenda <lb/>un tal nome colui, che lo profferiſce. </s>
  <s xml:id="echoid-s2992" xml:space="preserve">E per quan-<lb/>to mi torna alla memoria, parmi di averlo udito <lb/>prendere in molte maniere; </s>
  <s xml:id="echoid-s2993" xml:space="preserve">benchè due ſono le <lb/>più comuni. </s>
  <s xml:id="echoid-s2994" xml:space="preserve">Primamente ſogliono chiamarſi leg-<lb/>gi certe conſuetudini più generali e più coſtanti, <lb/>che la natura ſegue nel produrre et ordinar le co-<lb/>ſe; </s>
  <s xml:id="echoid-s2995" xml:space="preserve">le quali conſuetudini ſono bene ſpeſſo acciden-<lb/>tali all’ eſſenza de’ corpi, e molte volte arbitrarie <lb/>alla natura iſteſſa. </s>
  <s xml:id="echoid-s2996" xml:space="preserve">Leggi ancora ho udito chiamar <lb/>talvolta certi principj, che piuttoſto neceſſità do-<lb/>vrebbon dirſi, che leggi; </s>
  <s xml:id="echoid-s2997" xml:space="preserve">come, che il tut-<lb/>to debba eſſer maggiore di qual ſivoglia delle ſue <lb/>parti; </s>
  <s xml:id="echoid-s2998" xml:space="preserve">e che due coſe immedeſimate con una terza <lb/>debbano altresì eſſere immedeſimate tra loro; </s>
  <s xml:id="echoid-s2999" xml:space="preserve">et <lb/>altre tali neceſſità eterne et immutabili, che ven-<lb/>gono ſotto nome di aſſiomi, ne poſſon dirſi pro-<lb/>priamente conſuetudini introdotte dalla natura, <lb/>eſſendo @osì antiche, come la natura ſteſſa. </s>
  <s xml:id="echoid-s3000" xml:space="preserve">Or <lb/>dunque conſiderando io queſti due varj ſentimenti, <lb/>che ſi danno al nome di legge, dico che io non mi <lb/>arriſchierei già di formare una ſuppoſizione, che <lb/>foſſe contraria ad un aſſioma; </s>
  <s xml:id="echoid-s3001" xml:space="preserve">come che ſieno ſtati <lb/>molti eccellentiſſimi metafiſici, a’ quali ha dato l’ <lb/>animo di farlo. </s>
  <s xml:id="echoid-s3002" xml:space="preserve">E la ragione ſi è, perchè ſe gli <lb/>aſſiomi ſono, come io credo che ſieno, legati tut-<lb/>ti inſieme, e congiunti; </s>
  <s xml:id="echoid-s3003" xml:space="preserve">anzi immedeſimati l’ uno
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con l’ altro, così che un ſolo e ſempliciſſimo vero <lb/>conſtituiſcano; </s>
  <s xml:id="echoid-s3004" xml:space="preserve">parmi, che ſe uno ſe ne levaſſe via, <lb/>ſi leverebbono tutti, ne più reſterebbe alcun prin-<lb/>cipio alla ragione; </s>
  <s xml:id="echoid-s3005" xml:space="preserve">et io avrei tutti i timori del <lb/>Padre Riccati. </s>
  <s xml:id="echoid-s3006" xml:space="preserve">E certo che vano ſarebbe l’ argo-<lb/>mentare, tolto via i principj, perciocchè tolto via <lb/>queſti, è tolto l’ argomentare ſteſſo. </s>
  <s xml:id="echoid-s3007" xml:space="preserve">Ma non però <lb/>tanto timor mi farebbe una ſuppoſizione, per cui <lb/>ſi levaſſe alcuna di quelle conſuetudini, che ſopra <lb/>abbiamo detto; </s>
  <s xml:id="echoid-s3008" xml:space="preserve">perciocchè toltone una, potrebbo-<lb/>no rimanerne molte altre, che non dipendeſſer da <lb/>quella, e ſempre ci rimarrebbon gli aſſiomi, i qua-<lb/>li eſſendo ſtrettiſſimamente congiunti con la ragio-<lb/>ne, la ſeguirebbono fin nel caos; </s>
  <s xml:id="echoid-s3009" xml:space="preserve">laonde non man-<lb/>cherebbe alla mente ne materia ne modo di argo-<lb/>mentare, e trovare quante verità ciaſcun voleſſe. <lb/></s>
  <s xml:id="echoid-s3010" xml:space="preserve">E noi ſappiamo, che Carteſio, filoſoſo grandiſſimo, <lb/>gittate via tutte le altre leggi della natura, ebbe ar-<lb/>dimento di entrare col penſiero nel caos, null’ al-<lb/>tro recando ſeco, che gli aſſiomi, e alcune poche <lb/>leggi del moto; </s>
  <s xml:id="echoid-s3011" xml:space="preserve">e ſperò di trarne la vera forma dell’ <lb/>univerſo. </s>
  <s xml:id="echoid-s3012" xml:space="preserve">Conſiglio in vero ardimentoſo, e da non <lb/>permetterſi, che a Carteſio. </s>
  <s xml:id="echoid-s3013" xml:space="preserve">Ma io, ſenza entrare <lb/>nel caos, mi arriſchierei bene di ſupporre dei cor-<lb/>pi, i quali o non ſi attraeſſer l’ un l’ altro, o foſ-<lb/>ſer gravi non a miſura della materia loro, ma ſe-<lb/>condo altra proporzione; </s>
  <s xml:id="echoid-s3014" xml:space="preserve">che ſebben queſte coſe <lb/>foſſer contrarie alle conſuetudini della natura, pur <lb/>potrebbono rettamente conſiderarſi; </s>
  <s xml:id="echoid-s3015" xml:space="preserve">et io vorrei, <lb/>ſe aveſſi tanto ingegno da ſaper farlo, compor ſo-
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pra eſse volumi intieri tutti pieni di concluſioni <lb/>veriſſime; </s>
  <s xml:id="echoid-s3016" xml:space="preserve">le quali potrebbono anche eſſere utiliſ-<lb/>ſime; </s>
  <s xml:id="echoid-s3017" xml:space="preserve">perciocchè molte volte avendo veduto quel-<lb/>lo, che avvenir debba ad un corpo, il qual non oſ-<lb/>ſervi certa legge della natura, più facilmente ſi paſ-<lb/>ſa a veder quello, che debba avvenirgli, oſſervan-<lb/>dola. </s>
  <s xml:id="echoid-s3018" xml:space="preserve">Il perchè io credo fermamente, che non ſie-<lb/>no da vietarſi ai filoſofi ſimili ſuppofizioni; </s>
  <s xml:id="echoid-s3019" xml:space="preserve">e quei, <lb/>che le vietano, e dicono, la noſtra mente non po-<lb/>tere andar più avanti, ove una ſola legge di natura <lb/>ſi tolga, confondono le leggi della natura; </s>
  <s xml:id="echoid-s3020" xml:space="preserve">non. <lb/></s>
  <s xml:id="echoid-s3021" xml:space="preserve">accorgendoſi, che quel, che dicono, è forſe vero, <lb/>ſe la legge, che viene a toglierſi, ſia un’ aſſioma; </s>
  <s xml:id="echoid-s3022" xml:space="preserve"><lb/>ſe ſia ſol tanto una conſuetudine, non è vero cer-<lb/>tamente. </s>
  <s xml:id="echoid-s3023" xml:space="preserve">Il ſamoſo Beccari in Bologna ha diſco-<lb/>perto tanti corpi eſſer fosfori, che oramai può cre-<lb/>derſi, che ſieno tutti: </s>
  <s xml:id="echoid-s3024" xml:space="preserve">del qual ritrovamento non <lb/>ſo, ſe alcun’ altro ſiaſi fatto a noſtri tempi ne più <lb/>vago ne più leggiadro. </s>
  <s xml:id="echoid-s3025" xml:space="preserve">Potrà dire alcuno, queſta <lb/>eſſer legge di natura, che tutti i corpi ſien fosfori. </s>
  <s xml:id="echoid-s3026" xml:space="preserve"><lb/>Diremo noi per ciò, che ſe alcuno ſupponeſſe un <lb/>corpo non fosforo, doveſse toſto mancare a lui la <lb/>ragione, e ritornare il mondo nel caos? </s>
  <s xml:id="echoid-s3027" xml:space="preserve">E per ac-<lb/>coſtarmi a quella ſuppoſizione, per cagion della. </s>
  <s xml:id="echoid-s3028" xml:space="preserve"><lb/>quale avete voluto, che io entri in queſta diſputa, <lb/>voglio dire alla ſuppoſizione de’ corpi duriſſimi, <lb/>io non veggo, per qual ragione il Padre Riccati <lb/>debba averne tanta paura, e temer, che per eſsa <lb/>doveſse mancargli la ragione; </s>
  <s xml:id="echoid-s3029" xml:space="preserve">perchè ſebbene a. </s>
  <s xml:id="echoid-s3030" xml:space="preserve"><lb/>lui pare, che per eſſa ſi levi la legge della continui-
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tà, queſta legge però, quando ben foſse nella na-<lb/>tura, non ſarebbe altro, che una conſuetudine, <lb/>e levata eſsa, ne rimarrebbon dell’ altre, e reſte-<lb/>rebbon certamente gli aſſiomi, ne la ragione ver-<lb/>rebbe meno, ne il mondo perirebbe; </s>
  <s xml:id="echoid-s3031" xml:space="preserve">ſolamente, <lb/>ſuppoſti tali corpi, mancherebbe, come egli ar-<lb/>gomenta, la continuità; </s>
  <s xml:id="echoid-s3032" xml:space="preserve">ne queſto ſteſso potreb-<lb/>be egli argomentare ſenza ſupporli. </s>
  <s xml:id="echoid-s3033" xml:space="preserve">Sebbene che <lb/>giova fermarci in queſta controverſia, ſe prima <lb/>non ſi dimoſtri la continuità efsere veramente una <lb/>legge di natura? </s>
  <s xml:id="echoid-s3034" xml:space="preserve">Voi dunque negate, diſſe allora <lb/>il Signor D. </s>
  <s xml:id="echoid-s3035" xml:space="preserve">Serao, che le coſe, per inſtituto della <lb/>natura loro, traggano alla continuità. </s>
  <s xml:id="echoid-s3036" xml:space="preserve">Io nol <lb/>nego già, riſpoſi; </s>
  <s xml:id="echoid-s3037" xml:space="preserve">aſpetto che il mi dimoſtriate. <lb/></s>
  <s xml:id="echoid-s3038" xml:space="preserve">Ne voglio, che mi dimoſtriate, che la continui-<lb/>tà ſia un principio o un’ aſſioma; </s>
  <s xml:id="echoid-s3039" xml:space="preserve">a me baſta. </s>
  <s xml:id="echoid-s3040" xml:space="preserve"><lb/>ſol tanto, che mi facciate vedere, che ella ſia. </s>
  <s xml:id="echoid-s3041" xml:space="preserve"><lb/>una perpetua, e general conſuetudine. </s>
  <s xml:id="echoid-s3042" xml:space="preserve">Queſto, <lb/>diſſe il Signor D. </s>
  <s xml:id="echoid-s3043" xml:space="preserve">Serao, non è difficile a dimo-<lb/>ſtrarſi, ſe non quanto è difficile raccoglier qui <lb/>tutti gli eſempi, che trar ſi poſſono dalla meccani-<lb/>ca e dalla fiſica, ne quali apertamente ſi vede, <lb/>quanto ſia la natura coſtante oſſervatrice della con-<lb/>tinuità. </s>
  <s xml:id="echoid-s3044" xml:space="preserve">E per far vedere, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s3045" xml:space="preserve"><lb/>Niccola, quanto la continuità regni in tutte le. </s>
  <s xml:id="echoid-s3046" xml:space="preserve"><lb/>coſe, potrebbono anche trarſene innumerabili <lb/>eſempi dalla geometria. </s>
  <s xml:id="echoid-s3047" xml:space="preserve">Io credo, riſpoſe il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3048" xml:space="preserve">Serao, che la geometria ſia ſtata la pri-<lb/>ma, che abbia ſcoperto la continuità alla mecca-<lb/>nica et alla fiſica; </s>
  <s xml:id="echoid-s3049" xml:space="preserve">le quali due ſcienze non ſene
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farebbono forſe mai avvedute, ſe la geometria <lb/>non la moſtrava loro. </s>
  <s xml:id="echoid-s3050" xml:space="preserve">Ma queſto Signore conce-<lb/>derà facilmente la continuità nelle coſe, che ſi <lb/>conſiderano da voi altri geometri, negandola in <lb/>quelle, che ſi conſiderano dai fiſici. </s>
  <s xml:id="echoid-s3051" xml:space="preserve">Et io allora, <lb/>ne in quelle, diſſi, ne in queſte la negherò; </s>
  <s xml:id="echoid-s3052" xml:space="preserve">aſ-<lb/>petterò bene, che mi ſi dimoſtri sì nell’ une, co-<lb/>me nell’ altre. </s>
  <s xml:id="echoid-s3053" xml:space="preserve">Mentre queſti ragionamenti tra. <lb/></s>
  <s xml:id="echoid-s3054" xml:space="preserve">noi erano, ci accorgemmo, che il naviglio aven-<lb/>do fatto ſuo giro, cominciava di accoſtarſi a ter-<lb/>ra; </s>
  <s xml:id="echoid-s3055" xml:space="preserve">e già vedevamo venirci incontro le belle ſpiag-<lb/>ge di Baja, cui di lontano ſeguivano le erboſe <lb/>rive dell’ ameno e dilettevol Pozzuolo; </s>
  <s xml:id="echoid-s3056" xml:space="preserve">e raden-<lb/>do con la nave una iſoletta, che di boſchetti a-<lb/>dorna, e di caſe, uſciva tutta feſtoſa dell’ onde, <lb/>vedemmo alquanti paſtori, che ſopra v’ erano, <lb/>al dolce ſuono di più ſampogne lietamente dan-<lb/>zare con alquante leggiadre paſtorelle vezzoſa-<lb/>mente inghirlandate. </s>
  <s xml:id="echoid-s3057" xml:space="preserve">La qual viſta traſſe a ſe gli <lb/>occhi di tutti, maſſimamente del Signor Marche-<lb/>ſe di Campo Hermoſo; </s>
  <s xml:id="echoid-s3058" xml:space="preserve">che poſcia a me rivolto, <lb/>qual parte è, diſſe, ne’ beati contorni di Napoli, <lb/>che non ſia piena d’ allegrezza e di riſo? </s>
  <s xml:id="echoid-s3059" xml:space="preserve">tal ch’ <lb/>io mi credo, che gli amori, e le grazie ſe gli <lb/>abbian preſi per lor ſoggiorno; </s>
  <s xml:id="echoid-s3060" xml:space="preserve">invitandovi ſpeſ-<lb/>ſo ancor le muſe. </s>
  <s xml:id="echoid-s3061" xml:space="preserve">E vi verran volentieri, riſpoſi <lb/>io, ricordandoſi del divin Sannazzaro, che ve le <lb/>traſſe altra volta così ſoavemente con quelle ſue <lb/>piſcatorie; </s>
  <s xml:id="echoid-s3062" xml:space="preserve">nelle quali imitò così bene l’ inimita-<lb/>bil Virgilio. </s>
  <s xml:id="echoid-s3063" xml:space="preserve">E ben mi credo, che queſte rive,
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e queſti ſcogli, e queſt’ onde appreſe l’ abbiano, <lb/>e le ripetan talvolta; </s>
  <s xml:id="echoid-s3064" xml:space="preserve">e già, non ſo come, mi <lb/>par di udire il lamentevol canto di Licida, di <lb/>cui non poſſo mai ricordarmi, ſenza che a mente <lb/>mi torni il pianto di Coridone. </s>
  <s xml:id="echoid-s3065" xml:space="preserve">Qui la Signora <lb/>Principeſſa, a me rivolta, diſſe: </s>
  <s xml:id="echoid-s3066" xml:space="preserve">laſciate pianger <lb/>Coridone, e riſpondete a quello, che il Signor <lb/>D. </s>
  <s xml:id="echoid-s3067" xml:space="preserve">Serao, e il Signor D. </s>
  <s xml:id="echoid-s3068" xml:space="preserve">Niccola teſtè dicevano: <lb/></s>
  <s xml:id="echoid-s3069" xml:space="preserve">e già la vaga iſoletta, ſcorrendo oltre il naviglio, <lb/>avevamo laſciata addietro; </s>
  <s xml:id="echoid-s3070" xml:space="preserve">quando io riſpoſi: </s>
  <s xml:id="echoid-s3071" xml:space="preserve">Si-<lb/>gnora, io ho già detto che ſto aſpettando, come <lb/>la continuità mi ſi dimoſtri o nella geometria, o <lb/>nella meccanica, o in tutte quelle ſcienze, che eſſi <lb/>vorranno. </s>
  <s xml:id="echoid-s3072" xml:space="preserve">Io non aſpettava già io, diſse quivi il <lb/>Signor D. </s>
  <s xml:id="echoid-s3073" xml:space="preserve">Nicola, che voi voleſte, che la conti-<lb/>nuità vi ſi dimoſtraſse nelle coſe de’ geometri; </s>
  <s xml:id="echoid-s3074" xml:space="preserve">per-<lb/>ciocchè fra quante eſſi ne conſiderano, qual n’ ha, <lb/>o ſia linea, o ſia ſuperficie, o ſia corpo, o di qual’ <lb/>altra maniera voi vogliate, in cui non ſi oſſervi <lb/>una coſtante e perpetua continuità? </s>
  <s xml:id="echoid-s3075" xml:space="preserve">Qual progref-<lb/>ſione ha nelle idee dei geometri, quale andamen-<lb/>to, qual ſerie, in cui paſsandoſi da un termine <lb/>ad un’ altro, non ſi tocchino tutti i gradi, che <lb/>vi ſono frappoſti? </s>
  <s xml:id="echoid-s3076" xml:space="preserve">Così procedono le ordinate in <lb/>tutte le linee curve; </s>
  <s xml:id="echoid-s3077" xml:space="preserve">e con eſse ſi eſprimono, co-<lb/>me ſapete, e rappreſentano tutte le altre quantità. </s>
  <s xml:id="echoid-s3078" xml:space="preserve"><lb/>E le curve ſteſse, ſeguendo ſempre una medeſima <lb/>legge, ritengono perpetuamente la lor natura, ne <lb/>mai ſi trasformano ſubitamente l’ una nell’ altra. </s>
  <s xml:id="echoid-s3079" xml:space="preserve"><lb/>Di che ſe io voleſſi recarvi gli eſempi, prima il
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tempo mi mancherebbe, che le parole. </s>
  <s xml:id="echoid-s3080" xml:space="preserve">Ma a voi <lb/>ſta di moſtrarmi una figura ſola, una progreſſion <lb/>ſola, un ſolo andamento, in cui troviſi diſconti-<lb/>nuità. </s>
  <s xml:id="echoid-s3081" xml:space="preserve">Eccovi, ſubito riſpoſi: </s>
  <s xml:id="echoid-s3082" xml:space="preserve">il triangolo. </s>
  <s xml:id="echoid-s3083" xml:space="preserve">Do-<lb/>ve trovate voi, diſse il Signor D. </s>
  <s xml:id="echoid-s3084" xml:space="preserve">Niccola, la di-<lb/>ſcontinuità nel triangolo? </s>
  <s xml:id="echoid-s3085" xml:space="preserve">Nell’ orlo, riſpoſi io, <lb/>o vogliam dir nel perimetro; </s>
  <s xml:id="echoid-s3086" xml:space="preserve">il quale procedendo <lb/>dall’ una eſtremità della baſe ſino all’ altra con <lb/>uno andamento ſempre retto, ſubito poi ſi torce, <lb/>e va a ſormare un lato, faccendo con la baſe un’ <lb/>angolo di qualſivoglia grandezza ſenza aver fatto <lb/>prima gli altri angoli minori; </s>
  <s xml:id="echoid-s3087" xml:space="preserve">e giunto poi alla <lb/>cima del triangolo, ſi torce ſimilmente di nuovo, <lb/>faccendo all’ improvviſo un’ altro angolo; </s>
  <s xml:id="echoid-s3088" xml:space="preserve">fatto il <lb/>quale ſi riconduce a quella eſtremità della baſe, <lb/>onde partì. </s>
  <s xml:id="echoid-s3089" xml:space="preserve">Ed eccovi la diſcontinuità, che chia-<lb/>ramente appariſce nell’ andamento del perimetro. <lb/></s>
  <s xml:id="echoid-s3090" xml:space="preserve">Qui ridendo il Signor D. </s>
  <s xml:id="echoid-s3091" xml:space="preserve">Niccola, ben veggo, diſ-<lb/>ſe, che vi prendete diletto di noi. </s>
  <s xml:id="echoid-s3092" xml:space="preserve">E chi non ſa, <lb/>che il perimetro di un triangolo non ci ſi forma <lb/>nell’ animo per una progreſſione, la qual ci porti <lb/>a formarlo; </s>
  <s xml:id="echoid-s3093" xml:space="preserve">ma è una poſizione di tre linee, che <lb/>ſi prendono, e collocano a piacer d’ ognuno. </s>
  <s xml:id="echoid-s3094" xml:space="preserve">E <lb/>potrebbe anche uno formarſi un triangolo, il cui <lb/>perimetro compoſto ſoſse di tre linee curve tra lo-<lb/>ro diverſiſſime; </s>
  <s xml:id="echoid-s3095" xml:space="preserve">in cui certamente non ſarebbe la <lb/>continuità; </s>
  <s xml:id="echoid-s3096" xml:space="preserve">perchè chi vuole eſiggerla in quelle <lb/>coſe, che formanſi ad arbitrio? </s>
  <s xml:id="echoid-s3097" xml:space="preserve">Et io vorrei ſape-<lb/>re, riſpoſi, qual ſia quella figura, che i geometri <lb/>non ſe l’ abbian formata ad arbitrio. </s>
  <s xml:id="echoid-s3098" xml:space="preserve">Che ſe tali
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d’ ordinario le formano, che appariſce in ogni lor <lb/>parte la continuità; </s>
  <s xml:id="echoid-s3099" xml:space="preserve">a ciò gl’ inducono certe re-<lb/>gole, che eſſi ſi hanno propoſto nel formarle; <lb/></s>
  <s xml:id="echoid-s3100" xml:space="preserve">dalle quali regole ſe vorranno partire (e potran-<lb/>no ſempre, che il vogliano) incontreranno nelle <lb/>lor figure tante diſcontinuità, quante ne vorran-<lb/>no; </s>
  <s xml:id="echoid-s3101" xml:space="preserve">ne tali figure ſaran per queſto da rimoverſi dal-<lb/>la conſiderazion dei geometri, e ſaranno così belle <lb/>e così buone, come le altre. </s>
  <s xml:id="echoid-s3102" xml:space="preserve">Et acciocchè non pa-<lb/>ja, che io abbia addotto l’ eſempio del perimetro <lb/>nel triangolo pernon averne altro, quantunque fa-<lb/>cilmente ſi intenda, che quello, che ho detto del <lb/>triangolo, può ſimilmente dirſi di ogni altro poli-<lb/>gono, e di tutte le linee curve, ove ne piaccia di <lb/>trasformarle in poligoni; </s>
  <s xml:id="echoid-s3103" xml:space="preserve">vedete di grazia un’ an-<lb/>golo ſolo fatto da due linee rette: </s>
  <s xml:id="echoid-s3104" xml:space="preserve">il quale, diſtra-<lb/>endoſi viepiù le linee, et allargandoſi, viepiù cre-<lb/>ſce, e più ſempre creſcendo, come le linee vengono <lb/>a porſi in dirittura l’ una dell’ altra, improv viſamen-<lb/>te divien nullo. </s>
  <s xml:id="echoid-s3105" xml:space="preserve">Il che certamente è contrario alla <lb/>continuità, la qual vorrebbe, che ogni quantità di-<lb/>veniſſe nulla a forza di impiccolirſi; </s>
  <s xml:id="echoid-s3106" xml:space="preserve">e voi vedete, <lb/>che l’ angolo divien nullo nel ſuo creſcere. </s>
  <s xml:id="echoid-s3107" xml:space="preserve">E ve-<lb/>dete però, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s3108" xml:space="preserve">Niccola, che <lb/>diſtraendoſi vie più le linee, vie più ancora creſce <lb/>l’ arco, che è miſura dell’ angolo; </s>
  <s xml:id="echoid-s3109" xml:space="preserve">e queſt’ arco, <lb/>mettendoſi le linee in dirittura l’ una dell’ altra.</s>
  <s xml:id="echoid-s3110" xml:space="preserve">, <lb/>non diviene già egli nullo; </s>
  <s xml:id="echoid-s3111" xml:space="preserve">anzi ſi fa maggiore che <lb/>mai<unsure/>; </s>
  <s xml:id="echoid-s3112" xml:space="preserve">laonde pare, che dove voi trovate diſcontinui-<lb/>tà, ſi trovi anzi continuità. </s>
  <s xml:id="echoid-s3113" xml:space="preserve">E ſimilmente potrei di-
<pb o="218" file="0242" n="242" rhead="DELLA FORZA DE’ CORPI"/>
re del perimetro del triangolo; </s>
  <s xml:id="echoid-s3114" xml:space="preserve">perchè, comunque <lb/>ſia l’ andamento dei lati, ſe voi però da tutti i pun-<lb/>ti della baſe condurrete altrettante linee ad’ eſſa <lb/>perpendicolari, le quali vadano a terminarſi nei la-<lb/>ti, trover te che queſte, cominciando da una e-<lb/>ſtremità della baſe van ſempre creſcendo a poco a <lb/>poco, ſenza laſciare addietro verun’ accreſcimento <lb/>quantunque piccoliſſimo, in fin a tanto che giun-<lb/>gano alla cima del triangolo; </s>
  <s xml:id="echoid-s3115" xml:space="preserve">alla qual giunte co-<lb/>minciano toſto a ſminuirſi, e paſſando per tutti gl’ <lb/>infiniti gradi della diminuzione ſi ritornan nel nul-<lb/>la. </s>
  <s xml:id="echoid-s3116" xml:space="preserve">E queſte perpendicolari ſegnano con le loro e-<lb/>ſtremità il perimetro del triangolo, il qual per ciò <lb/>par nato da una certa continuità. </s>
  <s xml:id="echoid-s3117" xml:space="preserve">Avendo così det-<lb/>to il Signor D. </s>
  <s xml:id="echoid-s3118" xml:space="preserve">Niccola, io non nego, riſpoſi, che <lb/>dove io trovo diſcontinuità, non poſſa trovare al-<lb/>tri la continuità, dipendendo tutto queſto dalla <lb/>diverſa maniera, con cui vogliono le coſe riguar-<lb/>darſi. </s>
  <s xml:id="echoid-s3119" xml:space="preserve">E forſe che non è ſigura niuna tra quelle, che <lb/>vengono in mente a geometri, in cui ſe alcune di-<lb/>ſcontinuità appariſcono, non abbiano, per così dir, <lb/>ſotto ſe una perpetua continuità, che le ſegue, e in <lb/>certo modo le regge. </s>
  <s xml:id="echoid-s3120" xml:space="preserve">Ma altro è, che non ſia nelle <lb/>idee de’ geometri diſcontinuità niuna; </s>
  <s xml:id="echoid-s3121" xml:space="preserve">altro è, <lb/>che quelle, che vi ſono, ſieno ſempre accompa-<lb/>gnate da qualche continuità. </s>
  <s xml:id="echoid-s3122" xml:space="preserve">E di vero per quan-<lb/>to voi troviate la continuità nella ſerie degli ar-<lb/>chi, che tengon dietro all’ angolo, mentre egli ſi <lb/>va accreſcendo; </s>
  <s xml:id="echoid-s3123" xml:space="preserve">negar però non potete, che ſia <lb/>diſcontinuità nell’ angolo iſteſſo, divenendo egli
<pb o="219" file="0243" n="243" rhead="LIBRO II."/>
nel corſo del ſuo accreſcimento improvviſamente <lb/>nullo. </s>
  <s xml:id="echoid-s3124" xml:space="preserve">Anzi ſe voi conſidererete gli archi, non in-<lb/>quanto ſono archi, ma inquanto ſono miſure d’ <lb/>angoli, troverete la diſcontinuità anche in loro; <lb/></s>
  <s xml:id="echoid-s3125" xml:space="preserve">perchè divenendo l’ angolo nullo, benchè l’ arco, <lb/>inquant’ è arco, divenga maggiore, divien però <lb/>nullo, inquanto è miſura dell’ angolo. </s>
  <s xml:id="echoid-s3126" xml:space="preserve">E ſimil-<lb/>mente è da concedere, che il triangolo nell’ an-<lb/>damento del ſuo perimetro non ſegue in niun mo-<lb/>do la continuità; </s>
  <s xml:id="echoid-s3127" xml:space="preserve">benchè la ſeguano queile perpen <lb/>dicolari, che v’ è piaciuto ora di fingere; </s>
  <s xml:id="echoid-s3128" xml:space="preserve">le <lb/>quali avreſte potuto ſimilmente fingere anche in <lb/>un triangolo, che chiamerebbeſi miſtilineo, un la-<lb/>to del quale foſſe un’ arco d’ una parabola, e l’ <lb/>altro foſſe un’ arco d’ una ciſſoide; </s>
  <s xml:id="echoid-s3129" xml:space="preserve">il cui perime-<lb/>tro non ſi direbbe però avere continuità; </s>
  <s xml:id="echoid-s3130" xml:space="preserve">poichè <lb/>tenendo per qualche tratto la forma di una curva, <lb/>paſſerebbe ſubitamente a prender la forma di un’ <lb/>altra. </s>
  <s xml:id="echoid-s3131" xml:space="preserve">Io dico dunque, che può eſſere nelle idee <lb/>de’ geometri alcuna diſcontinuità, benchè ſia for-<lb/>ſe accompagnata ſempre da qualche continuità; </s>
  <s xml:id="echoid-s3132" xml:space="preserve">e <lb/>forſe anche, ſe così volete, naſca da eſſa; </s>
  <s xml:id="echoid-s3133" xml:space="preserve">come ſe <lb/>voi voleſte, che dalla ſerie di quelle perpendicola-<lb/>ri, da voi poco fa rammemorate, avendo eſſa <lb/>continuità, ne naſceſſe un perimetro, che non l’ <lb/>ha. </s>
  <s xml:id="echoid-s3134" xml:space="preserve">Ma non potrebbe dirſi queſto ſteſſo, cioè che <lb/>la diſcontinuità ſia ſempre accompagnata, o naſca <lb/>da qualche continuità; </s>
  <s xml:id="echoid-s3135" xml:space="preserve">ſe non vi foſſe diſcontinui-<lb/>tà niuna. </s>
  <s xml:id="echoid-s3136" xml:space="preserve">Avendo io detto queſte coſe, il Signor <lb/>D. </s>
  <s xml:id="echoid-s3137" xml:space="preserve">Niccola già diſponevaſi di riſpondere; </s>
  <s xml:id="echoid-s3138" xml:space="preserve">quan-
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do avvedutoſi che il Signor Marcheſe di Cam-<lb/>po Hermoſo moſtrava aver voglia di fare qualche <lb/>domanda, a lui rivolto, non commetterò io, diſſe, <lb/>che la noſtra compagnia ſi reſti priva di quello, che <lb/>vi è venuto nell’ animo. </s>
  <s xml:id="echoid-s3139" xml:space="preserve">Perchè, ſe alcuna doman-<lb/>da avete a fare, fatela. </s>
  <s xml:id="echoid-s3140" xml:space="preserve">Et egli allora, la noſtra <lb/>compagnia, diſſe, non potrebbe deſiderare di udir <lb/>me, avendo udito voi due. </s>
  <s xml:id="echoid-s3141" xml:space="preserve">Voi non ſapete, riſpo-<lb/>ſi, tutto quello, che noi poſſiamo deſiderare; </s>
  <s xml:id="echoid-s3142" xml:space="preserve">per-<lb/>chè vi prego di voler dire; </s>
  <s xml:id="echoid-s3143" xml:space="preserve">e ardiſco pregarvene <lb/>anche a nome degli altri. </s>
  <s xml:id="echoid-s3144" xml:space="preserve">Allora il Signor Marche-<lb/>ſe, a me rivolto, diſſe: </s>
  <s xml:id="echoid-s3145" xml:space="preserve">Se la natura del vero ſof-<lb/>fre alcuna diſcontinuità, come voi dite, nelle li-<lb/>nee, e neile figure, e nelle altre idee de’ geome-<lb/>tri, e negli andamenti loro; </s>
  <s xml:id="echoid-s3146" xml:space="preserve">io vorrei ſapere, don-<lb/>de avvenga, che in ogni linea curva ſi trovi ſem-<lb/>pre continuità; </s>
  <s xml:id="echoid-s3147" xml:space="preserve">che di quante io n’ ho vedute (e <lb/>molte già ne vidi ſtudiando algebra in Palermo <lb/>ſotto la diſciplina del Signor D. </s>
  <s xml:id="echoid-s3148" xml:space="preserve">Luigi Capece) <lb/>niuna parmi di averne incontrata mai, che la leg-<lb/>ge della continuità non oſſervaſſe; </s>
  <s xml:id="echoid-s3149" xml:space="preserve">ſeguendo ognu-<lb/>na ſempre la ſteſſa regola ſenza mai allontanarſe-<lb/>ne; </s>
  <s xml:id="echoid-s3150" xml:space="preserve">ne pervenendo mai le ordinate al zero ſenza <lb/>prima impiccolirſi a poco a poco; </s>
  <s xml:id="echoid-s3151" xml:space="preserve">ne trasferendo-<lb/>ſi mai dall’ eſſere poſitivo al negativo, ſenza eſſere <lb/>paſſate prima per lo zero, o aver varcato li ſpazj <lb/>interminabili dell’ infinito. </s>
  <s xml:id="echoid-s3152" xml:space="preserve">E quella continuità <lb/>quanto valeva a render vaga e leggiadra ogni cur-<lb/>va! Qui ſi tacque il Signor Marcheſe, et io incon-<lb/>tanente riſpondendo, piacciavi, diſſi, di avverti-
<pb o="221" file="0245" n="245" rhead="LIBRO II."/>
re, che io non ho mai negato, che ſia continuità <lb/>nelle idee dei geometri; </s>
  <s xml:id="echoid-s3153" xml:space="preserve">ho detto ſolo, niuno aver-<lb/>mi finqui dimoſtrato, che eſſe non poſſano talvol-<lb/>ta incorrere in alcune diſcontinuità, le quali per-<lb/>avventura potrebbon naſcere da quella iſteſſa re-<lb/>gola di continuità, che le accompagna. </s>
  <s xml:id="echoid-s3154" xml:space="preserve">E voi for-<lb/>ſe ne avreſte trovate alcune in quelle voſtre curve, <lb/>che già oſſervaſte, ſe preſo dalla vaghezza del-<lb/>la continuità, e da eſſa rapito, aveſte potuto <lb/>cercar altro. </s>
  <s xml:id="echoid-s3155" xml:space="preserve">Ne io però mi meraviglierei, ſe in <lb/>quelle voſtre curve aveſte anche trovata per tutto <lb/>la continuità ſenza diſcontinuità niuna; </s>
  <s xml:id="echoid-s3156" xml:space="preserve">percioc-<lb/>chè i geometri ſe le compongono a modo loro, <lb/>proponendoſi una certa regola di formarle, che <lb/>ſoglion chiudere in una equazione, e non volen-<lb/>do, che appartengano alla curva ſe non quei pun-<lb/>ti, che ſecondo quella regola ritrovano; </s>
  <s xml:id="echoid-s3157" xml:space="preserve">e perchè <lb/>quella regola trae a continuità, per ciò ogni cur-<lb/>va, che eſſi compongono, moſtra continuità per <lb/>tutto; </s>
  <s xml:id="echoid-s3158" xml:space="preserve">ne mai parte da quella ſteſſa regola; </s>
  <s xml:id="echoid-s3159" xml:space="preserve">per-<lb/>ciocchè come potrebbe partirne, ſe la compongon <lb/>con eſſa? </s>
  <s xml:id="echoid-s3160" xml:space="preserve">Non è dunque, che tutte le curve, che <lb/>venir poſſono in penſiero, abbiano di lor natura <lb/>una coſtante e perpetua continuità; </s>
  <s xml:id="echoid-s3161" xml:space="preserve">e ſe i geome-<lb/>tri in tutte quelle, che ſtudiano, la trovano; </s>
  <s xml:id="echoid-s3162" xml:space="preserve">ciò <lb/>non è, perchè tutte le immaginabili curve l’ abbia-<lb/>no, ma perchè eſſi non ſtudiano, ſe non quelle, <lb/>che l’ hanno. </s>
  <s xml:id="echoid-s3163" xml:space="preserve">Se noi con un piano tagliaſſimo un <lb/>corpo, la cui ſuperficie foſſe di molte, e tra lor <lb/>varie, ſuperficie compoſta, chi potrebbe promet-
<pb o="222" file="0246" n="246" rhead="DELLA FORZA DE’ CORPI"/>
terſi, che quella linea, la qual naſceſſe dal taglio <lb/>della ſuperficie e del piano, aveſſe in ogni ſua par <lb/>te continuità? </s>
  <s xml:id="echoid-s3164" xml:space="preserve">Ne ſo già, ſe voi poteſte tanto ſi-<lb/>curamente affermarmi, che volendo riferire una <lb/>tal linea ad un certo aſſe, e comporla per ordina-<lb/>te, doveſſero aver queſte quel bell’ ordine e quel-<lb/>la vaga continuità, che tanto nelle voſtre curve vi <lb/>piacque. </s>
  <s xml:id="echoid-s3165" xml:space="preserve">E per tornare a coteſte curve, che bella <lb/>continuità trovate voi là, dove le ordinate ſten-<lb/>dendoſi dall’ una parte in infinito, paſſano to ſto a <lb/>ſtenderſi in infinito dall’ altra? </s>
  <s xml:id="echoid-s3166" xml:space="preserve">nel qual luogo ſi <lb/>direbbe eſſere diſcontinuità ſomma, ſe ella non <lb/>naſceſſe da quella iſteſſa regola, con cui piac-<lb/>que da principio formar la curva, e che eſſen-<lb/>do continva, pur fa naſcere qualche diſconti-<lb/>nuità. </s>
  <s xml:id="echoid-s3167" xml:space="preserve">E come la regola, con cui ſi formano <lb/>le linee curve, e le figure tutte, dipende dall’ <lb/>arbitrio dei geometri, così poſſono eſſe avere con-<lb/>tinuità, e non averla; </s>
  <s xml:id="echoid-s3168" xml:space="preserve">ne la natura del vero le <lb/>sforza all’ uno od all’ altro, valendo in ciò la vo-<lb/>lontà degli uomini. </s>
  <s xml:id="echoid-s3169" xml:space="preserve">Avendo io dette queſte coſe, <lb/>il Signor Marcheſe, moſtrando di acconſentire, riſ-<lb/>poſe. </s>
  <s xml:id="echoid-s3170" xml:space="preserve">Queſta ragione però non dovrebbe valervi <lb/>nelle opere della natura, le quali, non dalla vo-<lb/>lontà degli uomini, ma dalla volontà di lei ſteſſa <lb/>ſi movono e ſi reggono. </s>
  <s xml:id="echoid-s3171" xml:space="preserve">Et io, vedete, diſſi, che <lb/>non ſia per queſto iſteſſo più difficile il dimoſtrare <lb/>la continuità nelle opere della natura, che in quel-<lb/>le degli uomini; </s>
  <s xml:id="echoid-s3172" xml:space="preserve">perchè, ſe la natura le move e <lb/>regge a modo ſuo, chi può ſapere, ſe ella ſi abbia
<pb o="223" file="0247" n="247" rhead="LIBRO II."/>
voluto imporre, qual prima e principal legge, la <lb/>continuità, così che niun corpo per niuno acci-<lb/>dente, che avvenir poſſa, debba poter paſſare da <lb/>una qualità ad un’ altra, et avendo una forma <lb/>prenderne una nuova, ſenza aver prima avute <lb/>tutte le qualità o forme intermedie? </s>
  <s xml:id="echoid-s3173" xml:space="preserve">E ſe noi in <lb/>moltiſſime coſe, che non ſo già ſe in tutte, tro-<lb/>viamo la continuità, potrebbe ella eſſere una con-<lb/>leguenza di qualche regola o legge, la quale in-<lb/>ducendo continuità in moltiſſime, laſciaſſe però <lb/>luogo alla diſcontinuità in alcune. </s>
  <s xml:id="echoid-s3174" xml:space="preserve">E qual potreb-<lb/>be eſſere coteſta legge? </s>
  <s xml:id="echoid-s3175" xml:space="preserve">diſſe il Signor Marcheſe; <lb/></s>
  <s xml:id="echoid-s3176" xml:space="preserve">et io riſpoſi: </s>
  <s xml:id="echoid-s3177" xml:space="preserve">le leggi ſteſſe del moto, le quali ſe ſi <lb/>avverranno in corpi duriſſimi, non ſolamente per-<lb/>metteranno nel loro incontro qualche diſcontinui-<lb/>tà; </s>
  <s xml:id="echoid-s3178" xml:space="preserve">ma la vorranno, e la chiederanno. </s>
  <s xml:id="echoid-s3179" xml:space="preserve">E chi ſa, ſe <lb/>la natura, per isfuggire ogni diſcontinuità, abbia <lb/>voluto guardarſi di produrre verun corpicciuolo <lb/>duriſſimo, chenti erano gli atomi d’ Epicuro? </s>
  <s xml:id="echoid-s3180" xml:space="preserve">Chi <lb/>ſa, ſe i globetti della luce, i quali ſi dice, che arri-<lb/>vando a toccare la ſuperficie di alcun corpo, che <lb/>non abbia virtù di riſpignerli<unsure/>, perdono toſto il <lb/>lor movimento, chi ſa, dico, ſe non ſieno duriſ-<lb/>ſimi, o in altro modo ſciolti dell’ obbligo della <lb/>continuità? </s>
  <s xml:id="echoid-s3181" xml:space="preserve">e la natura intanto ſeguendo in tutto <lb/>le leggi del moto, le quali ſole a lei baſtano per <lb/>produrre qualunque aſpetto dell’ univerſo, permet-<lb/>ta a queſti aſpetti medeſimi, et ai corpi, che gli <lb/>formano, qualche diſcontinuità? </s>
  <s xml:id="echoid-s3182" xml:space="preserve">Avendo io fin-<lb/>quì detto, e penſando di dir più oltre, il Signor
<pb o="224" file="0248" n="248" rhead="DELLA FORZA DE’ CORPI"/>
D. </s>
  <s xml:id="echoid-s3183" xml:space="preserve">Serao mi ſi fe incontro con queſte parole. </s>
  <s xml:id="echoid-s3184" xml:space="preserve">Voi <lb/>però durereſte gran fatica a moſtrarmi un’ eſempio <lb/>ſolo, in cui foſſe diſcontinuità; </s>
  <s xml:id="echoid-s3185" xml:space="preserve">e diſcorrete pure <lb/>a voglia voſtra per tutta la meccanica, e per tutta <lb/>la fiſica, quant’ ella è; </s>
  <s xml:id="echoid-s3186" xml:space="preserve">io potrei ben di preſente <lb/>moſtrarvene mille, in cui trovereſte una perſetta <lb/>continuità. </s>
  <s xml:id="echoid-s3187" xml:space="preserve">E voi ſapete, che gli eſempi vogliono <lb/>uſarſi in queſta controverſia, non le ſottigliezze. <lb/></s>
  <s xml:id="echoid-s3188" xml:space="preserve">Io certo, riſpoſi, non prenderei ora la fatica di <lb/>addurvi tutti gli eſempi della diſcontinuità; </s>
  <s xml:id="echoid-s3189" xml:space="preserve">e ſo <lb/>già, che alcuni, avendoſi fitta nell’ animo la con-<lb/>tinuità, qualunque effetto lor ſi preſenti, in cui <lb/>eſſa non appariſca, tanto s’ ingegnano, e ſtudiano <lb/>tanto, che trovano finalmente la via di ſupporve-<lb/>la; </s>
  <s xml:id="echoid-s3190" xml:space="preserve">e potendovela ſupporre, par loro, che vi ſia. </s>
  <s xml:id="echoid-s3191" xml:space="preserve"><lb/>E ſe io vi diceſſi, che un corpo venendo a percuo-<lb/>tere obliquamente in un piano, acquiſta ſubito due <lb/>direzioni, una delle quali è perpendicolare ad eſſo <lb/>piano, ſenza aver prima acquiſtato tutte le dire-<lb/>zioni intermedie, che ſono tra queſta, e quella, che <lb/>avea; </s>
  <s xml:id="echoid-s3192" xml:space="preserve">e ſe vi diceſſi, che l’ acqua ſgorgando dal fian-<lb/>co di un’ vaſo, nel primo ſuo uſcire acquiſta ſu-<lb/>bito tutta quella velocità, che avr@bbe a poco a <lb/>poco acquiſtata, ſe ſoſſe caduta da tanta altezza, <lb/>quanta ne ha l’ acqua nel vaſo; </s>
  <s xml:id="echoid-s3193" xml:space="preserve">e ſe altri effetti di <lb/>tal maniera vi proponeſſi; </s>
  <s xml:id="echoid-s3194" xml:space="preserve">io ſon certo, che voi vi <lb/>ingegnereſte tanto, che finalmente trovereſte la via <lb/>di ridurli a continuità; </s>
  <s xml:id="echoid-s3195" xml:space="preserve">e in ciò forſe tante ſotti-<lb/>gliezze adoprereſte, che non dovreſte più rifiutare <lb/>le mie. </s>
  <s xml:id="echoid-s3196" xml:space="preserve">Ma io non ho biſogno di gran ſottigliez-
<pb o="225" file="0249" n="249" rhead="LIBRO II."/>
za per perſuadermi, che poſſa un corpo eſtrema-<lb/>mente roſſo eſſer viciniſſimo ad’ un’ altro eſtre-<lb/>mamente verde, così che dal roſſo ſi venga al ver-<lb/>de ſenza paſſare per li colori frappoſti. </s>
  <s xml:id="echoid-s3197" xml:space="preserve">E lo ſteſ-<lb/>ſo potrei ſimilmente dire di tutte le altre qualità. <lb/></s>
  <s xml:id="echoid-s3198" xml:space="preserve">Perchè non potrebbe un corpo oltremodo duro <lb/>per alcun’ accidente eſſere viciniſſimo ad’ un’ altro <lb/>ſommamente molle; </s>
  <s xml:id="echoid-s3199" xml:space="preserve">et uno denſiſſimo ad un rariſſi-<lb/>mo? </s>
  <s xml:id="echoid-s3200" xml:space="preserve">Ne accade che voi vi affatichiate di addurre i <lb/>mille eſempi, in cui chiara appariſca la continuità; </s>
  <s xml:id="echoid-s3201" xml:space="preserve"><lb/>perchè io non nego, che la continuità non ſi oſ-<lb/>ſervi in moltiſſime opere della natura; </s>
  <s xml:id="echoid-s3202" xml:space="preserve">ne potreb-<lb/>bon però i mille eſempi dimoſtrarla evidentemen-<lb/>te, e metterla fuori d’ ogni dubio; </s>
  <s xml:id="echoid-s3203" xml:space="preserve">ſolamente le <lb/>acquiſterebbono una qualche probabilità. </s>
  <s xml:id="echoid-s3204" xml:space="preserve">Ne quel-<lb/>li ſorſe, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s3205" xml:space="preserve">Serao, che ſoſten-<lb/>gono la continuità, l’ hanno per coſa evidente; </s>
  <s xml:id="echoid-s3206" xml:space="preserve"><lb/>baſtando loro, che ſia molto probabile. </s>
  <s xml:id="echoid-s3207" xml:space="preserve">Ma voi <lb/>vorreſte l’ evidenza per tutto. </s>
  <s xml:id="echoid-s3208" xml:space="preserve">Io non vorrei già, <lb/>riſpoſi, l’ evidenza per tutto, ſapendo beniſſimo, <lb/>che ſon molte coſe, in cui non poſſiamo ſperarla. </s>
  <s xml:id="echoid-s3209" xml:space="preserve"><lb/>Vorrei bene, che le coſe evidenti foſſero pi-<lb/>gliate, come evidenti, e le probabili, come pro-<lb/>babili. </s>
  <s xml:id="echoid-s3210" xml:space="preserve">Il che ſe tutti faceſſero, non ſarebbon tan-<lb/>ti, quanti ne ſono, i quali rifiutano un ſiſtema, d’ <lb/>altronde comodiſſimo, per queſto ſolo, che egli ſi <lb/>oppone ad un principio, che eſſi amano, e che al-<lb/>tro non è ſe non probabile; </s>
  <s xml:id="echoid-s3211" xml:space="preserve">perciocchè o il ſiſte-<lb/>ma par loro comodo, e ſe è così, il principio dee <lb/>cedere, e dargli luogo, ceſſando per allora d’ eſ-
<pb o="226" file="0250" n="250" rhead="DELLA FORZA DE’ CORPI"/>
ſer probabile; </s>
  <s xml:id="echoid-s3212" xml:space="preserve">o il ſiſtema non è ne comodo ne <lb/>adattato agli effetti, ed egli allora dee riſiu-<lb/>tarſi per queſto, non perchè ſi opponga a quel <lb/>tale principio. </s>
  <s xml:id="echoid-s3213" xml:space="preserve">E certo che, quanto a me, io non <lb/>rifiuterei un ſiſtema, il qual mi ſpiegaſſe comodiſ-<lb/>ſimamente tutti gli effetti, per queſto, che incor-<lb/>reſſe talvolta in qualche diſcontinuità; </s>
  <s xml:id="echoid-s3214" xml:space="preserve">e più toſto <lb/>che rigettare il ſiſtema per ritenere la continuità, <lb/>rigetterei la continuità per ritenere il ſiſtema. </s>
  <s xml:id="echoid-s3215" xml:space="preserve">E <lb/>quelli, che fanno il contrario, parmi, che abbia-<lb/>no la continuità per più che probabile. </s>
  <s xml:id="echoid-s3216" xml:space="preserve">Io non ſo <lb/>quello, diſſe qui il Signor D. </s>
  <s xml:id="echoid-s3217" xml:space="preserve">Serao, che tutti fan-<lb/>no. </s>
  <s xml:id="echoid-s3218" xml:space="preserve">So bene che io ho udito molti, che ſoſtene-<lb/>vano la continuità non altro che come coſa aſſai <lb/>veriſimile; </s>
  <s xml:id="echoid-s3219" xml:space="preserve">e dicevano di valerſene per non avere <lb/>alcun’ altro principio più certo; </s>
  <s xml:id="echoid-s3220" xml:space="preserve">e in ciò moſtra-<lb/>vano una modeſtia grandiſſima. </s>
  <s xml:id="echoid-s3221" xml:space="preserve">Vedete, riſpoſi, <lb/>non foſſer di quegli (che moltiſſimi n’ ha) i quali <lb/>cominciano con gran modeſtia, e finiſcono con <lb/>gran baldanza. </s>
  <s xml:id="echoid-s3222" xml:space="preserve">Perchè conoſcendo la debo-<lb/>lezza de’ principj loro, cominciano col propor-<lb/>li umilmente: </s>
  <s xml:id="echoid-s3223" xml:space="preserve">egli ſi par veriſimile: </s>
  <s xml:id="echoid-s3224" xml:space="preserve">facile coſa è <lb/>da concederſi: </s>
  <s xml:id="echoid-s3225" xml:space="preserve">ſembra che il buon ſenſo detti; </s>
  <s xml:id="echoid-s3226" xml:space="preserve">e <lb/>tanto van dietro i pauroſi con quelle forme piene <lb/>di modeſtia e di umiliazione, proteſtando pure di <lb/>non ſaper nulla di certo, che è uno sfinimento ad <lb/>udirli; </s>
  <s xml:id="echoid-s3227" xml:space="preserve">procedendo poi oltre col diſcorſo, depongo-<lb/>no tutta l’ umiltà a poco, a poco, e ſtabiliſcono final-<lb/>mente le conſeguenze loro con tanto orgoglio, <lb/>quanto appena ſi comporterebbe ad’ un geometra;</s>
  <s xml:id="echoid-s3228" xml:space="preserve">
<pb o="227" file="0251" n="251" rhead="LIBRO II."/>
ne avvertono, che ſe furono tanto timidi nei prin-<lb/>cipj, conveniva loro eſſer più timidi nelle conſe-<lb/>guenze. </s>
  <s xml:id="echoid-s3229" xml:space="preserve">Riſe quivi il Signor D. </s>
  <s xml:id="echoid-s3230" xml:space="preserve">Serao, etio non <lb/>nego, diſſe, che queſto errore non ſia oggidì di <lb/>molti, i quali come giungono al fine dellor diſcor-<lb/>ſo, più non ſi ricordano la debolezza di quei prin-<lb/>cipj, ſopra cui lo fondarono, e vogliono ſpacciar <lb/>per ſicura una conſeguenza, che hanno tratta da. <lb/></s>
  <s xml:id="echoid-s3231" xml:space="preserve">principj non ſicuri. </s>
  <s xml:id="echoid-s3232" xml:space="preserve">Non cosi però parmi, che fac-<lb/>cia Giovanni Bernulli in quel ſuo nobiliſſimo ragio-<lb/>namento, la dove dalla continuità della natura. </s>
  <s xml:id="echoid-s3233" xml:space="preserve"><lb/>paſſa a dimoſtrare, non dover eſſer nel mondo al-<lb/>cun corpo duriſſimo, e ne leva via per fino la ſup-<lb/>poſizione. </s>
  <s xml:id="echoid-s3234" xml:space="preserve">Voi ſapete che l’ accademia di Parigi, <lb/>ſupponendo i corpi duriſſimi, avea chieſto, che ſi <lb/>cercaſſero quelle leggi del moto, che più loro ſi <lb/>conveniſſero. </s>
  <s xml:id="echoid-s3235" xml:space="preserve">Riſpoſe Bernulli, che non potean. </s>
  <s xml:id="echoid-s3236" xml:space="preserve"><lb/>quelli ſupporſi, eſſendo contrarj alla continuità. </s>
  <s xml:id="echoid-s3237" xml:space="preserve"><lb/>Io non mi ricordo bene le ſue ragioni; </s>
  <s xml:id="echoid-s3238" xml:space="preserve">ma ſe do-<lb/>veſſe argomentarſi per via dell’ autorità, et io vo-<lb/>leſſi valermi di quella di un così grand’ uomo, che <lb/>ha creduto non poter ſupporſi in verun modo i <lb/>corpi duriſſimi, ſolo perchè alla continuità ſi op-<lb/>pongono; </s>
  <s xml:id="echoid-s3239" xml:space="preserve">quale autorità mi opporreſte voi? </s>
  <s xml:id="echoid-s3240" xml:space="preserve">Quel-<lb/>la, riſpoſi, dell’ accademia di Parigi; </s>
  <s xml:id="echoid-s3241" xml:space="preserve">che pur gli <lb/>aveva ſuppoſti, e non doveva aver avuto tanta. </s>
  <s xml:id="echoid-s3242" xml:space="preserve"><lb/>paura di contravvenire alla continuità. </s>
  <s xml:id="echoid-s3243" xml:space="preserve">Ma noi, cre-<lb/>do, non vogliam moverci ne per l’ una autorità <lb/>ne per l’ altra, come che ſieno e l’ una e l’ altra. </s>
  <s xml:id="echoid-s3244" xml:space="preserve"><lb/>graviſſme. </s>
  <s xml:id="echoid-s3245" xml:space="preserve">Sì, diſse il Signor D. </s>
  <s xml:id="echoid-s3246" xml:space="preserve">Serao, ma Bernul-
<pb o="228" file="0252" n="252" rhead="DELLA FORZA DE’ CORPI"/>
li, volendo paſsare a quella ſua conſeguenza, che <lb/>egli ſi avea propoſto: </s>
  <s xml:id="echoid-s3247" xml:space="preserve">cioè, che i corpi duriſſimi <lb/>non poſsan ne eſsere ne ſupporſi: </s>
  <s xml:id="echoid-s3248" xml:space="preserve">e volendo per-<lb/>ciò incominciare dal principio della continuità, <lb/>egli non lo aſsunſe già così ad arbitrio, ma lo pro-<lb/>vò con alquante ragioni, che da molti ſi pigliano <lb/>come evidenti, e che voi avrete ben lette. </s>
  <s xml:id="echoid-s3249" xml:space="preserve">So, ri-<lb/>ſpoſi, che già le leſſi; </s>
  <s xml:id="echoid-s3250" xml:space="preserve">ma ora non le ho a memo-<lb/>ria; </s>
  <s xml:id="echoid-s3251" xml:space="preserve">ben parmi, quando le leſſi, che più, che le <lb/>ragioni, mi moveſse l’ autorità dell’ uomo; </s>
  <s xml:id="echoid-s3252" xml:space="preserve">alla. <lb/></s>
  <s xml:id="echoid-s3253" xml:space="preserve">quale però abbiamo detto di non volere ora atte-<lb/>nerci. </s>
  <s xml:id="echoid-s3254" xml:space="preserve">E ſe io non aveſſi molti eſempi nella na-<lb/>tura, che mi rendono alquanto probabile la con-<lb/>tinuità, le ragioni di Bernulli non me l’ avrebbo. </s>
  <s xml:id="echoid-s3255" xml:space="preserve"><lb/>no fatta mai parer tale. </s>
  <s xml:id="echoid-s3256" xml:space="preserve">Ma dir ciò è nulla, eſsen-<lb/>doci di quelle ragioni dimenticati e voi et io; </s>
  <s xml:id="echoid-s3257" xml:space="preserve">il <lb/>che è anche argomento, che non ci doveſser pa-<lb/>rere di tanto peſo. </s>
  <s xml:id="echoid-s3258" xml:space="preserve">Qui ridendo il Signor D. </s>
  <s xml:id="echoid-s3259" xml:space="preserve">Nic-<lb/>cola, la voſtra dimenticanza, diſse, non vi ſervi-<lb/>rà punto a sſuggir di dirne il parer voſtro; </s>
  <s xml:id="echoid-s3260" xml:space="preserve">per-<lb/>chè io ho qui il libro del Padre Riccati, in. </s>
  <s xml:id="echoid-s3261" xml:space="preserve"><lb/>cui ſono le ragioni ſteſse di Bernulli, tradotte nel-<lb/>la noſtra volgar lingua diligentemente, et io poſso <lb/>leggervele così che la dimenticanza non vi ſcuſi; </s>
  <s xml:id="echoid-s3262" xml:space="preserve"><lb/>oltreche il luogo, che le contiene, è aſſai breve, <lb/>ne a leggerlo ſi richiederà troppo lungo tempo. </s>
  <s xml:id="echoid-s3263" xml:space="preserve">Be-<lb/>ne ſtà, diſſe la Signora Principeſſa; </s>
  <s xml:id="echoid-s3264" xml:space="preserve">et io avrò ca-<lb/>ro, che noi chiudiamo il noſtro preſente ragiona-<lb/>mento, conſiderando le ragioni di quel valentiſſi-<lb/>mo uomo; </s>
  <s xml:id="echoid-s3265" xml:space="preserve">perchè ſe io ben conoſco queſte rive,
<pb o="229" file="0253" n="253" rhead="LIBRO II."/>
che andiam radendo a ſiniſtra, noi ſiamo già ſotto <lb/>Baja, e poichè il vento s’ è fatto alquanto gagliar-<lb/>detto, non andrà mol<unsure/>to, che noi ſaremo à Poz-<lb/>zuolo. </s>
  <s xml:id="echoid-s3266" xml:space="preserve">Mentre la Signora Principeſſa così diceva, <lb/>il Signor D. </s>
  <s xml:id="echoid-s3267" xml:space="preserve">Niccola traſſe fuori il libro, e rivol-<lb/>gendone quà e là le carte, s’ avvenne alla pagina <lb/>343, ove vide, che il Padre Riccati, parlando di <lb/>Bernulli, dice aver lui fatto vedere chiariſſimamen-<lb/>te, che un corpo, il qual ſia d’ una perfetta durez-<lb/>za, involve maniſeſta contradizione. </s>
  <s xml:id="echoid-s3268" xml:space="preserve">Oh! qui, <lb/>diſſe, dovrebbon eſſere le ragioni, onde Bernulli <lb/>dimoſtra la continuità. </s>
  <s xml:id="echoid-s3269" xml:space="preserve">E guardando alla ſeguente <lb/>pagina: </s>
  <s xml:id="echoid-s3270" xml:space="preserve">eccole diſse, e cominciò a leggere =<unsure/> <emph style="it">In</emph> <lb/><emph style="it">effetto un ſomigliante principio di durezza non po-</emph> <lb/><emph style="it">trebbe eſiſtere. </emph></s>
  <s xml:id="echoid-s3271" xml:space="preserve"><emph style="it">Egli è una chimera, che repugna alla</emph> <lb/><emph style="it">legge generale, che la natura oſſerva coſtantemente</emph> <lb/><emph style="it">in tutte le ſue operazioni.</emph> </s>
  <s xml:id="echoid-s3272" xml:space="preserve">Io parlo di quell’ ordine.</s>
  <s xml:id="echoid-s3273" xml:space="preserve"> <lb/><emph style="it">immutabile e perpetuo, ſtabilito dalla creazione dell’</emph> <lb/><emph style="it">univerſo, che ſi può appellare legge di continuità,</emph> <lb/><emph style="it">in virtù della quale tutto ciò, che s’ eſeguiſce, ſi</emph> <lb/><emph style="it">eſeguiſce per gradi infinitamente piccioli</emph> =<unsure/> Fin qui, <lb/>diſſi io allora, interrompendolo, non altro ſi fa, <lb/>che propor la coſa con gran pompa di parole; <lb/></s>
  <s xml:id="echoid-s3274" xml:space="preserve">niente ſi prova, ne ſi dimoſtra. </s>
  <s xml:id="echoid-s3275" xml:space="preserve">Abbiate pazienza, <lb/>diſſe il Signor D. </s>
  <s xml:id="echoid-s3276" xml:space="preserve">Nicola; </s>
  <s xml:id="echoid-s3277" xml:space="preserve">che quì cominciano le <lb/>prove; </s>
  <s xml:id="echoid-s3278" xml:space="preserve">et eſſendoſi di nuovo poſto a leggere, re-<lb/>citate le prime parole =<unsure/> <emph style="it">Sembra, che il buon ſenſo</emph> <lb/><emph style="it">detti</emph> =<unsure/> riſtette alquanto, e ſorridendo diſse: </s>
  <s xml:id="echoid-s3279" xml:space="preserve">voi <lb/>direte queſta eſſere una di quelle forme piene di <lb/>modeſtia, con cui cominciano i pauroſi, per finir
<pb o="230" file="0254" n="254" rhead="DELLA FORZA DE’ CORPI"/>
poi con orgoglio. </s>
  <s xml:id="echoid-s3280" xml:space="preserve">Certo, diſſi, le dimoſtrazioni <lb/>dei geometri non ſoglion così cominciarſi: </s>
  <s xml:id="echoid-s3281" xml:space="preserve"><emph style="it">Sembra</emph> <lb/><emph style="it">che il buon ſenſo detti.</emph></s>
  <s xml:id="echoid-s3282" xml:space="preserve"> Ma queſto che fa; </s>
  <s xml:id="echoid-s3283" xml:space="preserve">ſe le ra-<lb/>gioni, che ſoggiugne Bernulli, ſieno chiariſſime, <lb/>et evidentiſſime? </s>
  <s xml:id="echoid-s3284" xml:space="preserve">Però leggetele. </s>
  <s xml:id="echoid-s3285" xml:space="preserve">Allora il Signor <lb/>D. </s>
  <s xml:id="echoid-s3286" xml:space="preserve">Nicola ricominciò =<unsure/> <emph style="it">Sembra che il buon ſenſo</emph> <lb/><emph style="it">detti, che verun cangiamento non poßa farſi per ſal-</emph> <lb/><emph style="it">to; </emph></s>
  <s xml:id="echoid-s3287" xml:space="preserve">per ſalto non opera la natura. </s>
  <s xml:id="echoid-s3288" xml:space="preserve"><emph style="it">Non v’ ha coſa,</emph> <lb/><emph style="it">che paſſar poſſa da una eſtremità all’ altra ſenza paſ-</emph> <lb/><emph style="it">ſare per tutti i gradi di mezzo</emph> =<unsure/> Qui non potendo <lb/>tenermi, ſon queſte, diſſi, quelle dimoſtrazioni <lb/>chiariſſime et evidentiſſime? </s>
  <s xml:id="echoid-s3289" xml:space="preserve">Ma la Signora Prin-<lb/>cipeſſa interrompendomi, voi ſiete, diſſe, impa-<lb/>ziente fuor di modo; </s>
  <s xml:id="echoid-s3290" xml:space="preserve">e intanto il Signor D. </s>
  <s xml:id="echoid-s3291" xml:space="preserve">Ni-<lb/>cola ſeguitò a leggere =<unsure/> <emph style="it">E qual conneſſione ſi con-</emph> <lb/><emph style="it">cepirebbe tra due eſtremità oppoſte indipendentemente</emph> <lb/><emph style="it">da ogni conneſſione di ciò, che è tra mezzo?</emph></s>
  <s xml:id="echoid-s3292" xml:space="preserve"> =<unsure/> e let-<lb/>te queſte parole ſi fermò alquanto. </s>
  <s xml:id="echoid-s3293" xml:space="preserve">Io allora, non <lb/>fo, diſſi, ſe queſta a voi paja una ragione; </s>
  <s xml:id="echoid-s3294" xml:space="preserve">a me. <lb/></s>
  <s xml:id="echoid-s3295" xml:space="preserve">certamente o non pare, o non pare almeno di <lb/>quella tanta evidenza, che a ſtabilire un principio <lb/>infallibile, e neceſſario ſi richiederebbe. </s>
  <s xml:id="echoid-s3296" xml:space="preserve">Avendo <lb/>io così detto, e tacendomi, parve, che gli altri pur <lb/>ſi taceſſero, et io ſeguitai: </s>
  <s xml:id="echoid-s3297" xml:space="preserve">io dico dunque, che. </s>
  <s xml:id="echoid-s3298" xml:space="preserve"><lb/>ſe un corpo, ſcorrendo uno ſpazio, dee paſſare da <lb/>un luogo ad un’ altro, dee paſſare altresì per li <lb/>luoghi interpoſti ſeguitamente, ſalvo ſe egli non <lb/>vi foſſe portato per miracolo; </s>
  <s xml:id="echoid-s3299" xml:space="preserve">e può dirſi, che l’ <lb/>un termine di quel corſo ſi connetta con l’ altro <lb/>per la ſerie di quei luoghi, che la natura vi ha.</s>
  <s xml:id="echoid-s3300" xml:space="preserve">
<pb o="231" file="0255" n="255" rhead="LIBRO II."/>
realmente frappoſti. </s>
  <s xml:id="echoid-s3301" xml:space="preserve">E ciò intendo io beniſſimo. <lb/></s>
  <s xml:id="echoid-s3302" xml:space="preserve">Ma non ſo già, perchè debba neceſſariamente dir-<lb/>ſi lo ſteſſo, qualunque volta un corpo paſſi da qual-<lb/>ſiſia forma o qualità ad un’ altra: </s>
  <s xml:id="echoid-s3303" xml:space="preserve">per eſempio dal <lb/>roſſo al verde, dalla luce all’ oſcurità, dal movi-<lb/>mento più veloce al meno; </s>
  <s xml:id="echoid-s3304" xml:space="preserve">tra le quali forme e. </s>
  <s xml:id="echoid-s3305" xml:space="preserve"><lb/>qualità noi concepiamo in vero de i gradi, per paſ-<lb/>ſare dall’ una all’ altra col penſiero più comoda-<lb/>mente; </s>
  <s xml:id="echoid-s3306" xml:space="preserve">ma queſti gradi realmente non vi ſono, <lb/>ſe già la natura non ve gli fa a poſta. </s>
  <s xml:id="echoid-s3307" xml:space="preserve">Ne però, <lb/>cred’ io, ha biſogno di farli; </s>
  <s xml:id="echoid-s3308" xml:space="preserve">perciocchè ſe le leg-<lb/>gi per eſſa ſtabilite richiedſſero, che un corpo roſ-<lb/>ſo ſubitamente diventaſſe verde; </s>
  <s xml:id="echoid-s3309" xml:space="preserve">quel roſſo e quel <lb/>verde ſi connetterebbono tra loro abbaſtanza per <lb/>quella ſteſſa legge, che richiedeſſe prima l’ uno e <lb/>poi ſubitamente l’ altro, ne avrebbono biſogno <lb/>d’ altra conneſſione. </s>
  <s xml:id="echoid-s3310" xml:space="preserve">E ſimilmente ſe due corpi du-<lb/>riſſimi, incontrandoſi, ſubitamente ſi fermaſſero, <lb/>così chiedendo le leggi del moto; </s>
  <s xml:id="echoid-s3311" xml:space="preserve">et io foſſi do-<lb/>mandato della cagione, che connetteſſe inſieme. </s>
  <s xml:id="echoid-s3312" xml:space="preserve"><lb/>quel movimento con quella ſubita quiete, non. </s>
  <s xml:id="echoid-s3313" xml:space="preserve"><lb/>dubiterei di riſpondere, tutta la conneſſione eſſer <lb/>poſta nelle leggi del moto, che in quel caſo vor-<lb/>rebbono, che la quiete ſuccedeſſe ſubito al movi-<lb/>mento. </s>
  <s xml:id="echoid-s3314" xml:space="preserve">E tal conneſſione baſterebbe loro ſenza i <lb/>gradi frappoſti; </s>
  <s xml:id="echoid-s3315" xml:space="preserve">perciocchè la natura congiunge in-<lb/>ſieme le qualità, e le connette, com’ ella vuole, e <lb/>vuol talvolta congiungerle, traendole per tutti gl’ <lb/>interpoſti gradi; </s>
  <s xml:id="echoid-s3316" xml:space="preserve">e potrebbe anche voler farlo d’ <lb/>altra maniera. </s>
  <s xml:id="echoid-s3317" xml:space="preserve">Secondo voi dunque, diſſe allora
<pb o="232" file="0256" n="256" rhead="DELLA FORZA DE’ CORPI"/>
il Signor D. </s>
  <s xml:id="echoid-s3318" xml:space="preserve">Serao, potrebbe la natura volere <lb/>due coſe tra loro ſconneſſe. </s>
  <s xml:id="echoid-s3319" xml:space="preserve">Non le vorrebbe ſcon-<lb/>neſſe, riſpoſi; </s>
  <s xml:id="echoid-s3320" xml:space="preserve">connettendole col volerle. </s>
  <s xml:id="echoid-s3321" xml:space="preserve">E quan-<lb/>do anche le voleſſe ſconneſſe; </s>
  <s xml:id="echoid-s3322" xml:space="preserve">non ſo, quale aſſur-<lb/>do ne ſeguiſſe. </s>
  <s xml:id="echoid-s3323" xml:space="preserve">Ma ſe voi farete, ripigliò il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3324" xml:space="preserve">Nicola, tanti comenti, non ſarà mai, che <lb/>per noi ſi venga a capo di queſta lezione. </s>
  <s xml:id="echoid-s3325" xml:space="preserve">Aſcolta-<lb/>te l’ altro argomento, che ſegue, che vi parrà for-<lb/>ſe miglior del primo; </s>
  <s xml:id="echoid-s3326" xml:space="preserve">e ſeguì di leggere =<unsure/> <emph style="it">Se la</emph> <lb/><emph style="it">natura poteſſe paſſare da un’ eſtremo all’ altro, per</emph> <lb/><emph style="it">eſempio dal ripoſo al movimento, dal movimento al</emph> <lb/><emph style="it">ripoſo, da un movimento al contrario, ſenza paſſar</emph> <lb/><emph style="it">per tutti li movimenti inſenſibili, che conducono dall’</emph> <lb/><emph style="it">uno all’ altro, egli converrebbe, che il primo ſtato</emph> <lb/><emph style="it">foſſe diſtrutto, ſenza che la natura ſapeße, a qua-</emph> <lb/><emph style="it">le ella doveße determinarſi;</emph> </s>
  <s xml:id="echoid-s3327" xml:space="preserve"><emph style="it">giacche per qual ra-</emph> <lb/><emph style="it">gione la natura ne preferirebbe uno in particola-</emph> <lb/><emph style="it">re, di cui ſi potrebbe chiedere, perchè queſto più</emph> <lb/><emph style="it">toſto che qualunque altro?</emph> </s>
  <s xml:id="echoid-s3328" xml:space="preserve"><emph style="it">concioſiacbè non eſſen-</emph> <lb/><emph style="it">dovi legamento alcun neceſſario tra queſti due</emph> <lb/><emph style="it">ſtati, niente di paſſaggio dal movimento al ripo-</emph> <lb/><emph style="it">ſo, dal ripoſo al movimento, o da un movimento</emph> <lb/><emph style="it">all’ oppoſito, ragion veruna non la determinerebbe a</emph> <lb/><emph style="it">produr’ una coſa più toſto che l’ altra</emph> =<unsure/> Avendo <lb/>finqui letto il Signor D. </s>
  <s xml:id="echoid-s3329" xml:space="preserve">Nicola, e ſcorſi con l’ <lb/>occhio i ſeguenti verſi, vide, che gli argomenti, <lb/>da Bernulli addotti, per iſtabilire la continuità, <lb/>erano al fin venuti; </s>
  <s xml:id="echoid-s3330" xml:space="preserve">laonde chiuſo il libro, che <lb/>vi par, diſſe a me rivolto, di queſto ſecondo ar-<lb/>gomento? </s>
  <s xml:id="echoid-s3331" xml:space="preserve">et io diſſi: </s>
  <s xml:id="echoid-s3332" xml:space="preserve">a me par, che Bernulli ab-
<pb o="233" file="0257" n="257" rhead="LIBRO II."/>
bia la natura per molto ignorante: </s>
  <s xml:id="echoid-s3333" xml:space="preserve">volendo, che <lb/>ella, qualor rimove dallo ſtato ſuo un qualche <lb/>corpo, non poſſa ſapere in qual’ altro ſtato deb-<lb/>ba riporlo, ſe una ſerie di gradi infinitamente <lb/>piccoli non venga a moſtrargliele. </s>
  <s xml:id="echoid-s3334" xml:space="preserve">Nel che par-<lb/>mi, che egli non ſolamente voglia, che la natu-<lb/>ra oſſervi la continuità nelle coſe, ma che non ab-<lb/>bia, ne poſſa avere verun’ altra legge, cui oſſer-<lb/>vare; </s>
  <s xml:id="echoid-s3335" xml:space="preserve">perchè ſe alcuna ne aveſſe, potrebbe que-<lb/>ſta inſegnarle ciò, che la continuità non le inſe-<lb/>gnaſſe. </s>
  <s xml:id="echoid-s3336" xml:space="preserve">E certo che ſe foſſero al mondo due cor-<lb/>pi duriſſimi, i quali veniſſero con movimenti egua-<lb/>li ad incontrarſi, quand’ anche la legge della con-<lb/>tinuità non vi foſſe, e per ciò nulla poteſſe pre-<lb/>ſcriver loro; </s>
  <s xml:id="echoid-s3337" xml:space="preserve">preſcriverebbeſi però loro il fermarſi <lb/>da un’ altra legge, che mi pare molto più impor-<lb/>tante e molto più neceſſaria, ed è, che due mo-<lb/>vimenti debban l’ un l’ altro diſtruggerſi, ove ſie-<lb/>no eguali e contrarj: </s>
  <s xml:id="echoid-s3338" xml:space="preserve">e la natura ſeguendo una <lb/>tal legge, non avrebbe, cred’ io, da confonderſi, <lb/>ne da vergognarſi di non ſapere quello, che far <lb/>ſi doveſſe. </s>
  <s xml:id="echoid-s3339" xml:space="preserve">Qui fattoſi innanzi il Signor D. </s>
  <s xml:id="echoid-s3340" xml:space="preserve">Serao, <lb/>veramente, diſſe, io credeva, che quegli argo-<lb/>menti di Bernulli, eſſendo tanto famoſi, e ricevu-<lb/>ti da molti, come dimoſtrazioni evidentiſſime, <lb/>doveſſero eſſer più forti. </s>
  <s xml:id="echoid-s3341" xml:space="preserve">Pure ſe la legge della <lb/>continuità è probabile, che non può negarſi; </s>
  <s xml:id="echoid-s3342" xml:space="preserve">ſi <lb/>vuol ſeguirla. </s>
  <s xml:id="echoid-s3343" xml:space="preserve">Et 10, ſe ſi attendano, diſſi, gliar-<lb/>gomenri, con cui Bernulli la dimoſtra, appena che <lb/>mi paja probabile. </s>
  <s xml:id="echoid-s3344" xml:space="preserve">Pure poichè è tale, non volen-
<pb o="234" file="0258" n="258" rhead="DELLA FORZA DE’ CORPI"/>
do io negare ora, che la natura il più delle volte <lb/>la oſſervi, ſi vuol ſeguirla, ma ſempre con incer-<lb/>tezza, e con timore; </s>
  <s xml:id="echoid-s3345" xml:space="preserve">ne dir ſi dee, che ſieno aſſur-<lb/>di, e chimere, e involvano contradizion manifeſta <lb/>tutte le ſuppoſizioni, le quali poteſſero in alcun <lb/>caſo contrariarla; </s>
  <s xml:id="echoid-s3346" xml:space="preserve">perchè troppo certa conſeguen-<lb/>za ſi trarrebbe da troppo incerto principio; </s>
  <s xml:id="echoid-s3347" xml:space="preserve">e ſe <lb/>alcuna di queſte ſuppoſizioni foſse comodiſſima <lb/>ai filoſofi, come quella è de corpi perfettamente <lb/>duri, la quale così ſpeditamente ci moſtra le leg-<lb/>gi del moto, io non vorrei certo per riſpetto del-<lb/>la continuità rigettarla; </s>
  <s xml:id="echoid-s3348" xml:space="preserve">in tanto che la ſuppoſizio-<lb/>ne ſteſsa degli atomi di Epicuro, ſe non foſse per <lb/>altro aſsurda, com’ è, io non dubiterei diriceverla, <lb/>quantunque nell’ urto di due atomi poteſse indur-<lb/>ſi diſcontinuità; </s>
  <s xml:id="echoid-s3349" xml:space="preserve">perchè ben potrebbe la continui-<lb/>tà eſsere una conſuetudine, che la natura oſser-<lb/>vaſse ne corpi, e negli aſpetti ſenſibili delle coſe, <lb/>e non ne principi ultimi. </s>
  <s xml:id="echoid-s3350" xml:space="preserve">Mentre queſte ed’ altre <lb/>coſe tra noi ſi ragionavano, la nave era giunta <lb/>alle rive di Pozzuolo, ſenza che niuno di noi ſe <lb/>ne avvedeſſe. </s>
  <s xml:id="echoid-s3351" xml:space="preserve">Pure accortici, che ſtava ferma e <lb/>congiunta al lido; </s>
  <s xml:id="echoid-s3352" xml:space="preserve">la Signora Principeſsa, guar-<lb/>dato intorno, aſsai, diſse, ſi è per voi della ra-<lb/>gione de corpi duriſſimi, e della continuità diſpu-<lb/>tato. </s>
  <s xml:id="echoid-s3353" xml:space="preserve">Quello, che reſta a por fine alla quiſtione <lb/>della forza viva, rimetteremo ad’ altra ora; </s>
  <s xml:id="echoid-s3354" xml:space="preserve">e ciò <lb/>detto in piè levataſi moſtrò di voler ſmontar del <lb/>navilio, il che fecero ſimilmente tutti gli altri. <lb/></s>
  <s xml:id="echoid-s3355" xml:space="preserve">Et avviatici pian piano verſo caſa, eccoil Signor
<pb o="235" file="0259" n="259" rhead="LIBRO II."/>
Governatore venirci incontro col Sig. </s>
  <s xml:id="echoid-s3356" xml:space="preserve">D. </s>
  <s xml:id="echoid-s3357" xml:space="preserve">Felice Sa-<lb/>batelli, e col Signor Conte della Cueva; </s>
  <s xml:id="echoid-s3358" xml:space="preserve">che giun-<lb/>ti erano poche ore innanzi da Napoli. </s>
  <s xml:id="echoid-s3359" xml:space="preserve">Eranvi an-<lb/>she altri Signori deſideroſi di riverire la Signora <lb/>Principeſſa. </s>
  <s xml:id="echoid-s3360" xml:space="preserve">Di che fu fatta maraviglioſa feſta, <lb/>abbracciandoſi or gli uni or gli altri, et or una <lb/>or altra coſa dicendoſi. </s>
  <s xml:id="echoid-s3361" xml:space="preserve">Nella quale allegrez-<lb/>za dimoſtrò alcun diſpiacere il Signor Conte del-<lb/>la Cueva di non eſſere aſſai per tempo arrivato a <lb/>Pozzuolo, onde poter’ eſſer con noi nella nave. <lb/></s>
  <s xml:id="echoid-s3362" xml:space="preserve">Il che ſentendo la Signora Principeſſa, forſe per <lb/>tormentarlo alcun poco, aſſai più diſpiacere av-<lb/>reſte, gli diſſe, ſe ſapeſte i ragionamenti, che vi <lb/>ſi ſon fatti; </s>
  <s xml:id="echoid-s3363" xml:space="preserve">e brevemente gli eſpoſe le quiſtioni <lb/>avute. </s>
  <s xml:id="echoid-s3364" xml:space="preserve">Perchè egli prendendo vie più ſdegno dell’ <lb/>eſser tardi venuto, ſi dolſe alquanto col Signor <lb/>D. </s>
  <s xml:id="echoid-s3365" xml:space="preserve">Felice dell’ indugio; </s>
  <s xml:id="echoid-s3366" xml:space="preserve">il quale fattoſi innanzi, <lb/>avrei, diſse, pur volentieri udito diſputare d’ una <lb/>dimoſtrazion nuova, ulcita, non ha gran tempo, <lb/>ſopra la forza viva; </s>
  <s xml:id="echoid-s3367" xml:space="preserve">et è del chiariſſimo Padre Ric-<lb/>cati; </s>
  <s xml:id="echoid-s3368" xml:space="preserve">e mi par tanto ingegnoſa, e tanto bella. </s>
  <s xml:id="echoid-s3369" xml:space="preserve">Ma <lb/>ſento eſsere alcuni, che non ſe ne vogliono per-<lb/>ſuadere. </s>
  <s xml:id="echoid-s3370" xml:space="preserve">Credo, diſse allora la Signora Principeſ-<lb/>ſa, che noi ne abbiamo qui uno. </s>
  <s xml:id="echoid-s3371" xml:space="preserve">Ma ſappiate, <lb/>che delle molte coſe, che ſono ſtate propoſte, re-<lb/>ſta queſt’ una ſola, di cui non s’ è ancor diſputa-<lb/>to. </s>
  <s xml:id="echoid-s3372" xml:space="preserve">Mentre il Signor Conte della Cueva, e il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3373" xml:space="preserve">Felice inſieme con la Signora Principeſ-<lb/>ſa andavano tra lor ragionando; </s>
  <s xml:id="echoid-s3374" xml:space="preserve">io, e gli altri, ri-<lb/>maſi alquanti paſſi addietro, gli ſeguivamo. </s>
  <s xml:id="echoid-s3375" xml:space="preserve">Ed
<pb o="236" file="0260" n="260" rhead="DELLA FORZA DE’ CORPI"/>
eglino intanto, come poi ſeppi da loro ſteſſi, di-<lb/>viſaron del modo di introdurre la diſputa appreſ-<lb/>ſo cena, e così trarmi a dover dire ſopra la dimo-<lb/>ſtrazione del Padre Riccati. </s>
  <s xml:id="echoid-s3376" xml:space="preserve">In quella arrivammo <lb/>a caſa il Signor Governatore, dove appena entra-<lb/>ti, la Signora Principeſsa, rivoltaſi alla compa-<lb/>gnia, diſse di voler tutti ſeco a cena; </s>
  <s xml:id="echoid-s3377" xml:space="preserve">indi pro-<lb/>cedendo oltre per le camere fu ricevuta tra varj <lb/>ſuoni, cui ſeguirono alcune belliſſime danze, al-<lb/>le quali molti furono preſenti ſino alla fine; </s>
  <s xml:id="echoid-s3378" xml:space="preserve">altri <lb/>per pigliar’ aria fino a tanto che l’ ora del cenar <lb/>veniſse, ſu la riva del mare a lor diporto n’ an-<lb/>darono.</s>
  <s xml:id="echoid-s3379" xml:space="preserve"/>
</p>
<div xml:id="echoid-div6" type="float" level="2" n="1">
<note position="right" xlink:label="note-0195-01" xlink:href="note-0195-01a" xml:space="preserve">F. III.</note>
</div>
</div>
<div xml:id="echoid-div8" type="section" level="1" n="6">
<head xml:id="echoid-head16" style="it" xml:space="preserve">Fine del Secondo Libro.</head>
<pb o="237" file="0261" n="261"/>
</div>
<div xml:id="echoid-div9" type="section" level="1" n="7">
<head xml:id="echoid-head17" xml:space="preserve">DELLA FORZA DE CORPI <lb/>CHE CHIAMANO VIVA <lb/><emph style="it">LIBRO III.</emph> <lb/>AL SIGNOR</head>
<head xml:id="echoid-head18" xml:space="preserve">GIAMBATISTA MORGAGNI.</head>
<p>
  <s xml:id="echoid-s3380" xml:space="preserve">GRandiſſima quiſtione è ſempre ſta-<lb/>ta a mio credere, Signor Giamba-<lb/>tiſta cariſſimo, e aſſai difficile a, <lb/>ſcioglierſi, ſe nello ſtudio dell’ ar-<lb/>ti e delle ſcienze più giovi agli uo-<lb/>mini il deſiderio della novità, o <lb/>più nuoccia; </s>
  <s xml:id="echoid-s3381" xml:space="preserve">perchè ſe noi conſidereremo quelli, <lb/>il cui numero è ſenza fallo grandiſſimo, i quali <lb/>traſportati da un tal deſiderio corrono dietro a, <lb/>ſtraniſſime opinioni, allontanandoſi non meno dalla <lb/>comune conſuetudine, che dalla verità, e in quel-<lb/>le, per così dire, urtando rompono miſeramente, <lb/>la nave del loro ingegno, egli ci converrà di affer-<lb/>mare, che ſia coſa a tutti pericoloſiſſima, et a, <lb/>moltiſſimi molto dannoſa lo ſtudio della novità, <lb/>Ne queſto danno ſolo ne viene, che molti da amo-<lb/>re di novità tratti incorrono in opinioni ſtrane e <lb/>falſe; </s>
  <s xml:id="echoid-s3382" xml:space="preserve">ma quelli ancora, che in alcune vere ſi av-<lb/>vengono, ſcoprendo ciò, che ne’ tempi addietro
<pb o="238" file="0262" n="262" rhead="DELLA FORZA DE’ CORPI"/>
era ſtato naſcoſto, ſogliono di queſto ſteſſo trar <lb/>pregiudicio graviſſimo. </s>
  <s xml:id="echoid-s3383" xml:space="preserve">Imperocchè conſiderando <lb/>e vagheggiando i ritrovamenti loro, tanta vanità <lb/>ne prendono, che non vogliono più lodar di nul-<lb/>la gli antichi, e gli hanno in diſprezzo, e gli deri-<lb/>dono; </s>
  <s xml:id="echoid-s3384" xml:space="preserve">e quel che è peggio, ſpaventano altamente <lb/>i giovani dal fermarſi eziandio per breve ora ad <lb/>apprendere le dottrine antiche, dicendo loro, do-<lb/>verſi avanzar le ſcienze, e non eſſere da ritornare <lb/>a quelle coſe, che già da gran tempo il mondo ſa: <lb/></s>
  <s xml:id="echoid-s3385" xml:space="preserve">il che ſe tutti faceſſero, ne foſſe più alcuno, che a <lb/>quelle ritornaſſe, non molto andrebbe, che niuno <lb/>più le ſaprebbe. </s>
  <s xml:id="echoid-s3386" xml:space="preserve">E queſti tali oltre che ſpogliano <lb/>il mondo, quanto è in loro, di tutti gli antichi <lb/>ritrovamenti, cadono anche in un’ altro errore. </s>
  <s xml:id="echoid-s3387" xml:space="preserve"><lb/>grandiſſimo, per cui ſommamente nuocciono ai <lb/>preſenti uomini, et anche a loro ſteſſi; </s>
  <s xml:id="echoid-s3388" xml:space="preserve">non avver-<lb/>tendo, che i ritrovamenti antichi furono anch’ eſſi <lb/>nuovi una volta, ne ſono divenuti antichi, ſe non <lb/>per l età, che è ſucceduta loro, il che ſimilmen-<lb/>te avverrà delle preſenti invenzioni; </s>
  <s xml:id="echoid-s3389" xml:space="preserve">che perderan-<lb/>no la novità a poco a poco, e diverranno antiche, <lb/>come le altre. </s>
  <s xml:id="echoid-s3390" xml:space="preserve">Il perchè mal proveggono alla glo-<lb/>ria noſtra coloro, che, diſprezzando gli antichi, <lb/>laſciano a i poſteri un’ eſempio di diſprezzare an-<lb/>che noi. </s>
  <s xml:id="echoid-s3391" xml:space="preserve">E tanto più queſto mi par vero, quando <lb/>conſidero, che la lunghezza del tempo confonde. </s>
  <s xml:id="echoid-s3392" xml:space="preserve"><lb/>inſieme moltiſſime età, e fa comune a tutte la lau-<lb/>de di ciaſcuna. </s>
  <s xml:id="echoid-s3393" xml:space="preserve">Concioſiachè ſebbene le invenzio. </s>
  <s xml:id="echoid-s3394" xml:space="preserve"><lb/>ni antiche ſieno uſcite per grandiſſimi intervalli l’
<pb o="239" file="0263" n="263" rhead="LIBRO III."/>
una dopo l’ altra; </s>
  <s xml:id="echoid-s3395" xml:space="preserve">e la poeſia abbia preceduto di <lb/>lungo ſpazio la dialettica; </s>
  <s xml:id="echoid-s3396" xml:space="preserve">e l’ eloquenza ſia ſtata <lb/>aſſai prima della muſica; </s>
  <s xml:id="echoid-s3397" xml:space="preserve">ne ſieno certamente nate <lb/>ad un tempo e l’ aritmetica, e la geometria, e la <lb/>notomia, e la medicina, e la chimica; </s>
  <s xml:id="echoid-s3398" xml:space="preserve">ne l’ archi-<lb/>tettura abbia ſorſe aſpettato la ſcoltura, e la pittu-<lb/>ra per uſcire al mondo; </s>
  <s xml:id="echoid-s3399" xml:space="preserve">ed altre arti ſieno venute <lb/>in altri ſecoli; </s>
  <s xml:id="echoid-s3400" xml:space="preserve">pur di tutte ſi da laude ſenza diſtin-<lb/>zione alcuna agli antichi, come ſe queſti foſſero <lb/>tutti d’ un tempo, e componeſſero, per così dire, <lb/>una ſola ſamiglia. </s>
  <s xml:id="echoid-s3401" xml:space="preserve">E ciò avviene, cred’ io, perchè <lb/>eſſendoſi quelle età per tanto ſpazio da noi allon-<lb/>tanate, non ci accorgiamo della diſtanza, che han-<lb/>no tra loro, e però di moltiſſime ne facciamo una <lb/>ſola. </s>
  <s xml:id="echoid-s3402" xml:space="preserve">Ora ſe le coſe procederanno ne’ tempi avveni-<lb/>re, come ne’ paſſati ſempre ſon procedute, verrà <lb/>una volta, che confondendoſi anche l’ età noſtra <lb/>con le paſſate, entreremo noi pure in quella co-<lb/>munità, e così ſaranno lodati gli antichi dei ritro-<lb/>vamenti noſtri, come noi dei loro. </s>
  <s xml:id="echoid-s3403" xml:space="preserve">La qual coſa <lb/>non abbaſtanza intendono quelli, che traſportati <lb/>dall’ amore della novità inſegnano ai poſteri di <lb/>diſprezzare gli antichi, non badando, che tra po-<lb/>co ſaremo antichi ancor noi; </s>
  <s xml:id="echoid-s3404" xml:space="preserve">e che ſe quelli, che <lb/>dopo noi naſceranno, vorranno rivolgere tutto lo <lb/>ſtudio loro a ritrovare le coſe nuove, traſcureran-<lb/>no le noſtre. </s>
  <s xml:id="echoid-s3405" xml:space="preserve">Per queſte ed altre ragioni io direi <lb/>certamente, che ſoſſe da ſvellere e levar via del <lb/>tutto dall’ animo degli ſtudioſi la vaghezza della <lb/>novità, veggendo in quanti errori ſpeſſe volte
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gl’ induca, e come ne guaſti e corrompa il <lb/>giudicio; </s>
  <s xml:id="echoid-s3406" xml:space="preserve">ſe già d’ altra parte non conſide. <lb/></s>
  <s xml:id="echoid-s3407" xml:space="preserve">raſſi di quanti comodi e beni a queſta ſteſſa. </s>
  <s xml:id="echoid-s3408" xml:space="preserve"><lb/>vaghezza ſiam debitori. </s>
  <s xml:id="echoid-s3409" xml:space="preserve">Perciocchè qual ritrova-<lb/>mento avrebbono mai fatto o i moderni, o gli <lb/>antichi filoſofi, ſe non ſi foſser laſciati condur <lb/>da eſsa? </s>
  <s xml:id="echoid-s3410" xml:space="preserve">Da eſsa nacquero tutte le arti, e tutte <lb/>le ſcienze; </s>
  <s xml:id="echoid-s3411" xml:space="preserve">per eſsa ſi accrebbono; </s>
  <s xml:id="echoid-s3412" xml:space="preserve">ne altro che per <lb/>eſsa giunſero a quel ſommo grado di perfezione, <lb/>in cui or le veggiamo. </s>
  <s xml:id="echoid-s3413" xml:space="preserve">Imperocchè tutte le coſe, <lb/>che ſi producono, ſon nuove, ne poſsono accre-<lb/>ſcerſi, ſe non per la aggiunta d’ altre nuove; </s>
  <s xml:id="echoid-s3414" xml:space="preserve">le <lb/>quali trovar non ſi poſsono ſe non da chi le cerca; </s>
  <s xml:id="echoid-s3415" xml:space="preserve"><lb/>ne alcuno le cerca, ſe non è moſso da diſio di no-<lb/>vità. </s>
  <s xml:id="echoid-s3416" xml:space="preserve">Il perchè parmi, che chi vuole fermarſi a <lb/>quello, che ritrovaron gliantichi, ſenza andar più <lb/>avanti, e ſenza aggiunger nulla, non ben ſegua <lb/>quegl’ iſteſſi antichi, che pur vorrebbe ſegurre; </s>
  <s xml:id="echoid-s3417" xml:space="preserve">i <lb/>quali ſi ingegnarono ſempre con ogni sforzo di ag-<lb/>giungere qualche coſa alle già ritrovate; </s>
  <s xml:id="echoid-s3418" xml:space="preserve">cio che <lb/>egli non fa. </s>
  <s xml:id="echoid-s3419" xml:space="preserve">E benchè ſia da comportarſi a mol-<lb/>ti, che non potendo o per l’ inſtituto della lor <lb/>vita, o per la mancanza delle opportunità e dei <lb/>comodi, che ſono in mano della fortuna, avan-<lb/>zarſi a ſcoprire nuove cognizioni, ſi contentino <lb/>di poſsedere le già ſcoperte dagli altri, le quali <lb/>in verità ſono oramai tante, che è molto ſapere <lb/>il ſapere eſse ſole; </s>
  <s xml:id="echoid-s3420" xml:space="preserve">tuttavia non debbono queſti ta-<lb/>li ſgridar lo ſtudio della novità ai giovani, il qua-<lb/>le eſsendo retto e temperato da buon giudicio po-
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trebbe una volta condurgli a ſcoperte graviſſime <lb/>ed utiliſſime. </s>
  <s xml:id="echoid-s3421" xml:space="preserve">Perciocchè voler chiuder la ſtra-<lb/>da a tutte le invenzioni nuove è lo ſteſſo, <lb/>che accuſar gli antichi, che già l’ aprirono, e fare <lb/>ingiuria ai poſteri, in grazia de’ quali fu aperta. <lb/></s>
  <s xml:id="echoid-s3422" xml:space="preserve">Io credo dunque, Signor Giambatiſta cariſſimo, <lb/>che ſia coſa convenientiſſima, e alla profeſſion <lb/>del filoſofo ſommamente accomodata, il deſide-<lb/>rio della novità; </s>
  <s xml:id="echoid-s3423" xml:space="preserve">così veramente che non tragga <lb/>l’ uomo ad opinioni ſtravolte e contrarie alla ra-<lb/>gione, ne egli per li ſuoi ritrovamenti nuovi s’ in-<lb/>duca a diſprezzare ſuperbamente gli antichi: </s>
  <s xml:id="echoid-s3424" xml:space="preserve">d el <lb/>qual vizio non ſon privi coloro, i quali benchè <lb/>niente attribuiſcano a ſe medeſimi, onde pajono <lb/>temperatiſſimi; </s>
  <s xml:id="echoid-s3425" xml:space="preserve">pur vogliono, che tutto attribuir ſi <lb/>debba a quelli della loro età, o della loro ſcuola, o <lb/>del loro ordine, ne credono d’ eſſer ſuperbi, perchè <lb/>lo ſono a nome di molti. </s>
  <s xml:id="echoid-s3426" xml:space="preserve">E che il diſio della novi-<lb/>tà temperato di queſta maniera ſia giovevoliſſimo, <lb/>potrei dimoſtrarvelo con mille eſempi, ſe voi ſteſ-<lb/>ſo non ne foſte uno così chiaro, e cosi eccellente, <lb/>e così maraviglioſo, che rendete inutili tutti gli <lb/>altri. </s>
  <s xml:id="echoid-s3427" xml:space="preserve">Perchè laſciando le altre parti della filoſofia, <lb/>che voi avete voluto più toſto ſapere, che profeſ-<lb/>ſare; </s>
  <s xml:id="echoid-s3428" xml:space="preserve">nella notomia certamente, che avete preſa, <lb/>non ſenza invidia, cred’ io, dell’ altre ſcienze, <lb/>con tanto ſtudio ad’ illuſtrare, avete aſſai chiara-<lb/>mente dimoſtrato, quale eſſer debba in un filoſo-<lb/>fo perſettiſſimo l’ amore della novità. </s>
  <s xml:id="echoid-s3429" xml:space="preserve">Imperocchè <lb/>avendo voi fatto tanti ritrovamenti nuovi, e così
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ſingolari, e così illuſtri e maraviglioſi, qual ne è <lb/>ſtato non ſommamente conſentaneo, e del tutto <lb/>corriſpondente all’ oſſervazione et al vero? </s>
  <s xml:id="echoid-s3430" xml:space="preserve">e quan-<lb/>tunque non ſi diſdirebbe al noſtro ſecolo diante-<lb/>porſi a tutti gli altri, che ſono ſtati di voi privi; <lb/></s>
  <s xml:id="echoid-s3431" xml:space="preserve">quando però è ſtato mai che voi vogliate valervi <lb/>della felicità e virtù voſtra a diſprezzo d’ altrui? </s>
  <s xml:id="echoid-s3432" xml:space="preserve"><lb/>che anzi avete voluto nell’ ampiezza quaſi infinita <lb/>del voſtro animo ricevere non ſolo i ritrovamenti <lb/>da voi fatti, ma quelli ancora, che fecero le età <lb/>paſſate; </s>
  <s xml:id="echoid-s3433" xml:space="preserve">e queſti tutti avete ſottiliſſimamente con-<lb/>ſiderati, ed apprezzati ciaſcuno, ſecondo che con-<lb/>veniva, volendo ſtudiarli e ſaperli non men che i <lb/>voſtri; </s>
  <s xml:id="echoid-s3434" xml:space="preserve">e di tanto poi gli avete con l’ingegno ab-<lb/>belliti et ornati, che eglino ſteſſi, per quel ch’io <lb/>creda, più toſto voſtri eſſer vorrebbono, che dei <lb/>loro primi ritrovatori. </s>
  <s xml:id="echoid-s3435" xml:space="preserve">E queſto è quello, ch’ io <lb/>vorrei, che faceſſe ognuno nella profeſſion ſua, <lb/>maſſimamente il filoſofo; </s>
  <s xml:id="echoid-s3436" xml:space="preserve">in cui tanto non ripren-<lb/>do io l’amore della novità, che voglio anzi, che <lb/>s’ ingegni e ſi sforzi, quanto può, di andar dietro <lb/>alle coſe nuove, uſando di quella temperanza, di <lb/>cui voi avete laſciato a i poſteri nelle voſtre divi-<lb/>ne opere un’ eſempio cotanto illuſtre. </s>
  <s xml:id="echoid-s3437" xml:space="preserve">Ne ſolamen-<lb/>te voglio, che egli ſtudj quelle coſe, che egli ſpe-<lb/>ra di poter trovar da ſe ſolo; </s>
  <s xml:id="echoid-s3438" xml:space="preserve">ma perchè molte <lb/>ne ſono, che un ſolo uomo facilmente ritrovar <lb/>non potrebbe, voglio, che pongaſi in comunità <lb/>con molti, contentandoſi, ſe non ha tutta la lode <lb/>del rittovamento, di averne qualche parte; </s>
  <s xml:id="echoid-s3439" xml:space="preserve">e per-
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chè ne ſono ancor di quelle, che una ſola età com-<lb/>piere non potrebbe, ricercandoviſi l’ oſſervazio-<lb/>ne perpetua e coſtante di molti ſecoli, per ciò vo-<lb/>glio ancora, che egli ſi metta in ſocietà coi paſſati, <lb/>perfezionando quello, che eſſi ci laſciarono di im-<lb/>perfetto, e conducendo a fine i ritrovamenti, che <lb/>eſſi finir non poterono. </s>
  <s xml:id="echoid-s3440" xml:space="preserve">Nel che però dovrà guar-<lb/>darſi da un’ errore, in cui cadono molti, i quali <lb/>per aver data l’ultima mano credono, eſſi ſoli do-<lb/>ver’ eſſer lodati dell’ invenzione; </s>
  <s xml:id="echoid-s3441" xml:space="preserve">la quale in vero <lb/>è un’ opinione ſuperba e irragionevole; </s>
  <s xml:id="echoid-s3442" xml:space="preserve">percioc-<lb/>chè dell’ invenzione lodar ſi debbono tutti quelli, <lb/>che hanno fatto quel, che potevano, eche era pur <lb/>neceſſario di fare per trovar la coſa; </s>
  <s xml:id="echoid-s3443" xml:space="preserve">e come a tro-<lb/>varla è neceſſario quaſi ſempre cercarla prima in <lb/>più maniere, e tentar varj mezzi, e incamminarſi <lb/>per varie vie, et errar molte volte, e tornare ad-<lb/>dietro; </s>
  <s xml:id="echoid-s3444" xml:space="preserve">così quelli, che prima di noi tentarono, <lb/>benchè ſi avvolgeſsero in molti errori, ne tempo a-<lb/>veſſero di giunger, dove noi ſiamo giunti, pur fe-<lb/>cero quello, che era neceſſario di fare, acciocchè <lb/>noi vi giungeſſimo, e debbono venire a parte dell’ <lb/>invenzione. </s>
  <s xml:id="echoid-s3445" xml:space="preserve">E certo io non dirò mai, che il mara-<lb/>viglioſo ſiſtema del mondo propoſtoci ultimamen-<lb/>te dall’ incomparabil Neuton ſia il ritrovamento <lb/>d’ un’ uomo ſolo, ne lo direbbe, cred’ io, lo ſteſ-<lb/>ſo Neuton, che ſiccome d’ ingegno e di ſapere <lb/>parve, che ſuperaſſe tutti gli altri, così di mode-<lb/>razione e di prudenza non fu ſuperato da niuno. <lb/></s>
  <s xml:id="echoid-s3446" xml:space="preserve">Imperocchè quel ſiſtema non potea ſtabilirſi ſenza
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prima averne provato molti, il che fecero l’ un <lb/>dopo l’ altro più filoſofi in più ſecoli, Pittagora, <lb/>Ariſtotele, Tolomeo, Copernico, Ticone, Keple-<lb/>ro, Carteſio, ed’ altri aſſai, che precedettero il <lb/>grandiſſimo Neuton; </s>
  <s xml:id="echoid-s3447" xml:space="preserve">i quali ſe errarono, fecero <lb/>quegli errori, che avrebbe dovuto far l’ ultimo, <lb/>ſe non gli aveſſero fatti eſſi per lui. </s>
  <s xml:id="echoid-s3448" xml:space="preserve">Onde io dico, <lb/>che quel ſiſtema, a giudicarne rettamente, non <lb/>uno ſolo lo ritrovò, ma lo ritrovarono tutti in-<lb/>ſieme. </s>
  <s xml:id="echoid-s3449" xml:space="preserve">La qual coſa ſe il filoſofo intenderà be-<lb/>ne, avendo l’ animo applicato a ſcoprimenti <lb/>nuovi, vorrà metterſi in compagnia non ſolo <lb/>dei paſſati, ma ancor di quei, che verranno; </s>
  <s xml:id="echoid-s3450" xml:space="preserve">e <lb/>come cercherà di perfezionare le coſe, che gli an-<lb/>tichi ci laſciarono meno perfette, così vorrà la-<lb/>ſciarne alcune meno perfette, che dovranno poi <lb/>dai poſteri perfezionarſi; </s>
  <s xml:id="echoid-s3451" xml:space="preserve">ne avrà timore di perder <lb/>la lode del ritrovamento, che ſarà ridotto a per-<lb/>fezione da altri; </s>
  <s xml:id="echoid-s3452" xml:space="preserve">come ne anche avrà timore di pro-<lb/>por ſiſtemi non ancora abbaſtanza provati, e tra-<lb/>mandare ai ſecoli avvenire i ſuoi dubj, e le ſue <lb/>ragionevoli ſuſpizioni; </s>
  <s xml:id="echoid-s3453" xml:space="preserve">benchè in queſto corra pe-<lb/>ricolo, che ſieno una volta conoſciute falſe, e riget-<lb/>tate. </s>
  <s xml:id="echoid-s3454" xml:space="preserve">Ma egli non dovrà reſtarſi per ciò; </s>
  <s xml:id="echoid-s3455" xml:space="preserve">anzi, ſpe-<lb/>rando bene, dovrà aver coraggio, e commetterſi <lb/>alla fortuna; </s>
  <s xml:id="echoid-s3456" xml:space="preserve">perchè io ſon d’ opinione, che niu-<lb/>no poſſa eſſere filoſofo perfettiſſimo, ſe non è an-<lb/>cora in qualche parte fortunato; </s>
  <s xml:id="echoid-s3457" xml:space="preserve">come i capitani <lb/>grandiſſimi, ne quali oltre la ſcienza et il valore <lb/>anche la fortuna richiedeſi; </s>
  <s xml:id="echoid-s3458" xml:space="preserve">e lo ſteſſo può dirſi e
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del medico, che cura l’ infermo, e del trafficante, <lb/>che fa venire le merci, e del nocchiero, che con-<lb/>duce la nave. </s>
  <s xml:id="echoid-s3459" xml:space="preserve">E ſimilmente il filoſofo, ſe ha qual-<lb/>che ſiſtema bello, ingegnoſo, veriſimile, ma che <lb/>richiegga ancora altre prove, dee raccomandarlo <lb/>ai poſteri, e avventurarlo; </s>
  <s xml:id="echoid-s3460" xml:space="preserve">e così hanno fatto gran-<lb/>diſſimi uomini e dottiſſimi. </s>
  <s xml:id="echoid-s3461" xml:space="preserve">Ne certamente poteva <lb/>l’ immortal Neuton eſſer tanto ſicuro di quel ma-<lb/>raviglioſo ſiſtema, che egli formò delle comete, <lb/>condottovi quaſi dalla ſola ragione; </s>
  <s xml:id="echoid-s3462" xml:space="preserve">quanto ora. <lb/></s>
  <s xml:id="echoid-s3463" xml:space="preserve">ſiam noi, condottivi non dalla ragion ſolamente, <lb/>ma da moltiſſime oſſervazioni, e da così gran nu-<lb/>mero di calcoli: </s>
  <s xml:id="echoid-s3464" xml:space="preserve">ne potè egli aver per certiſſima, e <lb/>fuor d’ ogni dubic quella forma ſchiacciata, che <lb/>diede alla terra, non avendo veduto quelle tante <lb/>miſure, che preſe poi in varie parti del mondo da <lb/>matematici Italiani, Spagnuoli, e Franceſi l’ han-<lb/>no mirabilmente confermata. </s>
  <s xml:id="echoid-s3465" xml:space="preserve">Ma egli avendo con-<lb/>cepite nell’ animo belliſſime, e ragionevoliſſime <lb/>opinioni, confidoſſi nella loro probabilità, e chia-<lb/>mò i poſteri a farne prova; </s>
  <s xml:id="echoid-s3466" xml:space="preserve">il che gli è ſucceduto <lb/>felicemente; </s>
  <s xml:id="echoid-s3467" xml:space="preserve">ed ha conſeguito maggior gloria, <lb/>avendo ſaputo ſenza tante oſſervazioni e miſure <lb/>affermar quello, che niuno s’ ardiva d’ affermare <lb/>ſenza di eſſe. </s>
  <s xml:id="echoid-s3468" xml:space="preserve">Così io voglio, che il filoſofo inten-<lb/>to a cercar novità, ſia qualche volta ardimentoſo, <lb/>contenendoſi però ſempre dentro ai limiti della ra-<lb/>gione; </s>
  <s xml:id="echoid-s3469" xml:space="preserve">ne laſci di cominciar quello, che egli non <lb/>può compiere, contentandoſi, che ſia compiuto <lb/>dai poſteri; </s>
  <s xml:id="echoid-s3470" xml:space="preserve">e ſoffra di partir la lode dell’ invenzio-
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ne con loro; </s>
  <s xml:id="echoid-s3471" xml:space="preserve">ſiccome anche dovrà partirla coi paſ-<lb/>ſati in tutte le coſe, che eſſendo ſtate da eſſi laſcia-<lb/>te imperfette, avrà egli ſaputo perfezionare. </s>
  <s xml:id="echoid-s3472" xml:space="preserve">E a <lb/>queſto modo ſi metterà in compagnia di tutti i fi-<lb/>loſofi, che ſono ſtati per l’ addietro, e che ſaranno <lb/>dopoi, come ſe foſſer tutti una comunità ſola, e <lb/>formaſſero, per così dire, una ſola accademia. <lb/></s>
  <s xml:id="echoid-s3473" xml:space="preserve">Ma di queſte coſe abbiamo detto abbaſtanza, pa-<lb/>rendomi oramai tempo, ch’ io m’ accoſti ad eſ-<lb/>porvi il ragionamento ultimo, che fù in Pozzuolo <lb/>ſopra la forza viva in quella onoratiſſima compa-<lb/>gnia, che ſopra vi diſſi; </s>
  <s xml:id="echoid-s3474" xml:space="preserve">alla quale s’ erano aggiun-<lb/>ti il Signor D. </s>
  <s xml:id="echoid-s3475" xml:space="preserve">Felice Sabatelli, e il Signor Con-<lb/>te della Cueva. </s>
  <s xml:id="echoid-s3476" xml:space="preserve">Il qual ragionamento perciocchè <lb/>fu d’ intorno ad una dimoſtrazion nuova, che <lb/>il Padre Riccati ha propoſta in un ſuo belliſ-<lb/>ſimo libro, volendo per eſſa dimoſtrare, che. </s>
  <s xml:id="echoid-s3477" xml:space="preserve"><lb/>la forza viva debba eſſere in ciaſcun corpo pro-<lb/>porzionale al quadrato della velocità; </s>
  <s xml:id="echoid-s3478" xml:space="preserve">potrà <lb/>forſe per ciò parervi, che non a caſo ſiaſi per <lb/>me fino ad ora del diſiderio della novità ra-<lb/>gionato. </s>
  <s xml:id="echoid-s3479" xml:space="preserve">Perchè quantunque il Padre Riccati non <lb/>alcuna ſentenza nuova introduca, ma ſol propon-<lb/>ga un’ argomento nuovo a ſoſtenere una ſentenza <lb/>già quaſi vecchia; </s>
  <s xml:id="echoid-s3480" xml:space="preserve">pur queſto ancora è novità; </s>
  <s xml:id="echoid-s3481" xml:space="preserve">e <lb/>dove ſi faccia rettamente, e con giudicio, merita <lb/>tutte le lodi, che a i gran ritrovamenti ſi conven-<lb/>gono. </s>
  <s xml:id="echoid-s3482" xml:space="preserve">E certo il Padre Riccati non è venuto a <lb/>quel ſuo argomento ſenza aver prima voluto e co-<lb/>noſcere et eſaminar ſotti<unsure/>lmente tutti quelli, che
<pb o="247" file="0271" n="271" rhead="LIBRO III."/>
erano uſciti per l’ addietro; </s>
  <s xml:id="echoid-s3483" xml:space="preserve">e lo ha fatto in verità <lb/>con tanta acutezza d’ ingegno, e profondità di <lb/>ſcienza, che ciò ſolo baſtar poteva ad acquiſtargli <lb/>grandiſſima fama tra i matematici; </s>
  <s xml:id="echoid-s3484" xml:space="preserve">avendo poi ve-<lb/>duto, quella fentenza, che egli amava, eſſere <lb/>ancor biſognoſa di qualche forte ragione, che la <lb/>ſoſteneſſe, poichè ne quelle di Leibnizio, ne quel-<lb/>le di Bernulli gli parevan baſtanti, ha voluto tro-<lb/>varne una nuova; </s>
  <s xml:id="echoid-s3485" xml:space="preserve">e l’ ha trovata in vero molto <lb/>ingegnoſa, e tanto bella, che non laſcia più <lb/>deſiderar le altre. </s>
  <s xml:id="echoid-s3486" xml:space="preserve">Et io certamente conſen-<lb/>tendo al Padre Riccati, che le ragioni addotte <lb/>già da Leibnizio e da Bernulli non foſſero abba-<lb/>ſtanza valevoli, conſento ancor facilmente, che <lb/>tutta la quiſtione ormai riducaſi a veder ſolo, ſe <lb/>ſia abbaſtanza valevole la ragione addotta da lui <lb/>ſteſſo. </s>
  <s xml:id="echoid-s3487" xml:space="preserve">Il che voi intenderete nei ragionamenti, <lb/>che prendo ora a narrarvi; </s>
  <s xml:id="echoid-s3488" xml:space="preserve">dove ſe troverete alcu-<lb/>no, che ſi opponga al Padre Riccati, non per que. <lb/></s>
  <s xml:id="echoid-s3489" xml:space="preserve">ſto dovrete credere che egli non lo ſtimi grandiſſi-<lb/>mamente, e non faccia verſo lui, come egli ha <lb/>fatto verſo Bernulli, e Leibnizio, a quali oppo-<lb/>nendoſi non ha laſciato tuttavia di grandiſſima-<lb/>mente ſtimarli. </s>
  <s xml:id="echoid-s3490" xml:space="preserve">Nacquero dunque i ragionamenti <lb/>a queſto modo. </s>
  <s xml:id="echoid-s3491" xml:space="preserve">Dopo molti e varj diporti, e ſol-<lb/>lazzi, eſſendo l’ ora del cenar venuta, fummo tutti, <lb/>ſecondo l’ invito fattone, nelle ſtanze della Signo-<lb/>ra Principeſſa, e quivi in una belliſſima camera, <lb/>vagamente ornata, con due fineſtre riguardanti ſo-<lb/>pra il mare, che al lume della luna era belliſſimo
<pb o="248" file="0272" n="272" rhead="DELLA FORZA DE’ CORPI"/>
a vedere, con eſſa e con altri Signori lietamente <lb/>cenammo. </s>
  <s xml:id="echoid-s3492" xml:space="preserve">Finito il mangiare, e non eſſendo an-<lb/>cora levate le tavole, attendendo ognuno quello, <lb/>che la Signora Principeſſa comandaſſe; </s>
  <s xml:id="echoid-s3493" xml:space="preserve">ella a me <lb/>rivolta grazioſamente diſſe: </s>
  <s xml:id="echoid-s3494" xml:space="preserve">ſe io vi pregaſſi di vo-<lb/>ler proſeguire il ragionamento fatto oggi ſopra la <lb/>forza viva, dicendone quello, che vi rimanea; <lb/></s>
  <s xml:id="echoid-s3495" xml:space="preserve">ſo, che farei coſa grata a queſti Signori, che vo-<lb/>lentieri vi aſcoltano; </s>
  <s xml:id="echoid-s3496" xml:space="preserve">ma voi direſte, che ſiete ora-<lb/>mai ſtanco, et avreſte ragione. </s>
  <s xml:id="echoid-s3497" xml:space="preserve">Signora, riſpoſi <lb/>io, non direi già queſto; </s>
  <s xml:id="echoid-s3498" xml:space="preserve">che così poca coſa non mi <lb/>ſtanca; </s>
  <s xml:id="echoid-s3499" xml:space="preserve">direi bene, che io non ſo quello, che mi <lb/>rimanga da dover dire, avendone già detto oggi <lb/>tutto quello, che io ſapeva e mi ricordava. </s>
  <s xml:id="echoid-s3500" xml:space="preserve">Vor-<lb/>rei poter ricordarmene più per poter più dirne, e <lb/>far così coſa grata (ſe pur grato è l’ aſcoltarmi) <lb/>non tanto a queſti Signori, quanto a voi. </s>
  <s xml:id="echoid-s3501" xml:space="preserve">Allo-<lb/>ra il Signor D. </s>
  <s xml:id="echoid-s3502" xml:space="preserve">Nicola, che mi ſedeva appreſſo, <lb/>rimanea, diſſe, da diſputare ſopra quella dimo-<lb/>ſtrazione ultima, che il Padre Riccati ha propo-<lb/>ſta nel libro ſuo per far vedere, che la forza viva <lb/>de corpi debba eſtimarſi ſecondo il quadrato della <lb/>velocità; </s>
  <s xml:id="echoid-s3503" xml:space="preserve">la qual dimoſtrazione ſe io aveſſi a me-<lb/>moria (giacchè troppo lungo ſarebbe il ricercarla <lb/>e leggerla nel libro ſteſſo) non vi farei buona la <lb/>voſtra ſcuſa; </s>
  <s xml:id="echoid-s3504" xml:space="preserve">ne buona pure, cred’ io, ve la fa-<lb/>rebbe la Signora Princi<unsure/>peſſa; </s>
  <s xml:id="echoid-s3505" xml:space="preserve">perchè io vi eſpor-<lb/>rei, quanto poteſſi, brevemente la dimoſtrazione; </s>
  <s xml:id="echoid-s3506" xml:space="preserve"><lb/>et ella vi obbligherebbe di dirne il parer voſtro. </s>
  <s xml:id="echoid-s3507" xml:space="preserve"><lb/>Ma quello, che non poſſo io, il potrà forſe il
<pb o="249" file="0273" n="273" rhead="LIBRO III."/>
Signor D. </s>
  <s xml:id="echoid-s3508" xml:space="preserve">Felice, che ha letto il libro attenta-<lb/>mente. </s>
  <s xml:id="echoid-s3509" xml:space="preserve">Così è, diſſe il Signor D. </s>
  <s xml:id="echoid-s3510" xml:space="preserve">Felice, e quella <lb/>dimoſtrazione, che voi dite, ho lungamente con-<lb/>ſiderata, et eſaminata da me ſteſſo più volte; </s>
  <s xml:id="echoid-s3511" xml:space="preserve">più <lb/>volte ancora col Signor Conte della Cueva. </s>
  <s xml:id="echoid-s3512" xml:space="preserve">Dun-<lb/>que, riſpoſi io, potrete eſporlaci voi, e il Signor <lb/>Conte, e dirne il giudicio voſtro meglio di ogni <lb/>altro. </s>
  <s xml:id="echoid-s3513" xml:space="preserve">Quanto a me, io vi aſcolterò con piacere <lb/>grandiſſimo. </s>
  <s xml:id="echoid-s3514" xml:space="preserve">Ma non vogliamo già noi, diſſe allo-<lb/>ra la Signora Principeſſa, che voi ſolamente aſcol-<lb/>tiate; </s>
  <s xml:id="echoid-s3515" xml:space="preserve">oltre che non conviene, che il Signor D. <lb/></s>
  <s xml:id="echoid-s3516" xml:space="preserve">Felice faccia egli tutta la fatica. </s>
  <s xml:id="echoid-s3517" xml:space="preserve">Egli dunque eſ-<lb/>porrà la dimoſtrazione, e voi ne eſporrete il giu-<lb/>dicio voſtro. </s>
  <s xml:id="echoid-s3518" xml:space="preserve">Meglio ſarebbe, riſpoſi io, udir quel-<lb/>lo del Signor Conte della Cueva, che ha conſide-<lb/>rato, e ſa la dimoſtrazione meglio di me. </s>
  <s xml:id="echoid-s3519" xml:space="preserve">Il Signor <lb/>Conte della Cueva, riſpoſe ſubito il Signor D. </s>
  <s xml:id="echoid-s3520" xml:space="preserve"><lb/>Felice, dovrà ajutar me; </s>
  <s xml:id="echoid-s3521" xml:space="preserve">perchè eſſendo la dimo-<lb/>ſtrazione molto ſottile, e dovendola io per cagion <lb/>della chiarezza cominciar di lontano, et eſſendo al-<lb/>quanto avvolta e lunga, potrei tratto tratto aver bi-<lb/>ſogno di chi mi ſovveniſſe. </s>
  <s xml:id="echoid-s3522" xml:space="preserve">Voi, diſſi, a coteſto mo-<lb/>do volete difendere il Signor Conte, e liberarlo <lb/>d’ ogni fatica; </s>
  <s xml:id="echoid-s3523" xml:space="preserve">ma ſe di lui avete biſogno ad eſ-<lb/>porre la dimoſtrazione, non avete certamente bi-<lb/>ſogno di tutti; </s>
  <s xml:id="echoid-s3524" xml:space="preserve">però queſti altri Signori, come voi <lb/>l’ avrete dichiarata, potranno giudicarne eſſi; </s>
  <s xml:id="echoid-s3525" xml:space="preserve">e <lb/>ognuno il farà meglio di me. </s>
  <s xml:id="echoid-s3526" xml:space="preserve">Eſſi eſporranno il <lb/>giudicio loro, diſſe la Signora Principeſſa, o con-<lb/>fermando il voſtro, o opponendoviſi. </s>
  <s xml:id="echoid-s3527" xml:space="preserve">E rivolta al
<pb o="250" file="0274" n="274" rhead="DELLA FORZA DE’ CORPI"/>
Signor D. </s>
  <s xml:id="echoid-s3528" xml:space="preserve">Felice, cominciate voi, diſſe, e date <lb/>buon eſempio; </s>
  <s xml:id="echoid-s3529" xml:space="preserve">acciocchè egli ancora impari di <lb/>obedire. </s>
  <s xml:id="echoid-s3530" xml:space="preserve">Io ſon preſto di farlo; </s>
  <s xml:id="echoid-s3531" xml:space="preserve">diſſe il Signor D. <lb/></s>
  <s xml:id="echoid-s3532" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s3533" xml:space="preserve">ma prima fa di meſtieri, ch’ io vi diſegni <lb/>alcune figure, ſopra cui dovrò ſpiegarmi. </s>
  <s xml:id="echoid-s3534" xml:space="preserve">Ciò der-<lb/>to, furono toſto recati per ordine della Signora <lb/>Principeſſa calamajo e penne; </s>
  <s xml:id="echoid-s3535" xml:space="preserve">et eſſendoſi già ca-<lb/>vati fuori alcuni di que’ fogli, ove contenevanſi <lb/>le figure, ſopra cui s’ era tutto quel dì diſputato, <lb/>preſone uno il Signor D. </s>
  <s xml:id="echoid-s3536" xml:space="preserve">Felice, et avendo alquan-<lb/>to fra ſe penſato, due figure vi aggiunſe, et appo-<lb/>ſe a ciaſcuna il numero, che conveniva. </s>
  <s xml:id="echoid-s3537" xml:space="preserve">Delle <lb/>quali furono toſto fatte più copie, acciocchè cia-<lb/>ſcuno una ne aveſſe. </s>
  <s xml:id="echoid-s3538" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s3539" xml:space="preserve">Felice, <lb/>eſſendo ſtato alquanto ſopra di ſe, incominciò. </s>
  <s xml:id="echoid-s3540" xml:space="preserve"><lb/>Grave, e difficil carico, oltre quanto poſſa crede-<lb/>re chi non abbia a portarlo, mi ha impoſto la Si-<lb/>gnora Principeſſa, volendo, che io vi referiſca <lb/>una delle più belle, e più ingegnoſe dimoſtrazio-<lb/>ni, che ſieno uſcite intorno alla quiſtione della <lb/>forza viva, quale ſi è veramente quella del Padre <lb/>Riccati; </s>
  <s xml:id="echoid-s3541" xml:space="preserve">ne per ciò sfuggo di ſottopormivi, aman-<lb/>do meglio di cader ſotto il peſo obedendo, che, non <lb/>obedendo, ſtarmi in piedi. </s>
  <s xml:id="echoid-s3542" xml:space="preserve">Voglio bene, che queſto <lb/>mi concediate, che io vi riferiſca la dimoſtrazione, <lb/>non con quell’ ordine ſteſſo, con cui l’ ha eſpoſta l’ <lb/>autore, ma a modo mio; </s>
  <s xml:id="echoid-s3543" xml:space="preserve">perchè ſe io in queſta par-<lb/>te non mi valeſſi del mio arbitrio, non potrei ſer-<lb/>vire all’ altrui, eſſendomi impoſſibile di riferirla <lb/>così appunto, come ſta nel libro. </s>
  <s xml:id="echoid-s3544" xml:space="preserve">Io la eſporrò dun-
<pb o="251" file="0275" n="275" rhead="LIBRO III."/>
que, come io l’ ho nell’ animo, ſenza partirmi pe-<lb/>rò dal ſentimento dell’ autore, e ſtudierò, quanto <lb/>per me ſi potrà, la brevità. </s>
  <s xml:id="echoid-s3545" xml:space="preserve">E perchè giova ſem-<lb/>pre, quando uno vuole incamminarſi in un diſcor-<lb/>ſo, ſaper prima il fine, a cui eſſo tende, e la via, <lb/>in cui metteſi, per arrivarvi: </s>
  <s xml:id="echoid-s3546" xml:space="preserve">ſappiate, che inten-<lb/>dimento del Padre Ri@cati è, che debba eſſere nel-<lb/>la natura una forza, la qual ſi miſuri col quadra-<lb/>to della velocità; </s>
  <s xml:id="echoid-s3547" xml:space="preserve">e ciò perchè, ſe non foſſe una <lb/>tal forza, interverrebbe un @aſo, in cui non ſareb. <lb/></s>
  <s xml:id="echoid-s3548" xml:space="preserve">be eguaglianza tra la cagione, e l’ effetto; </s>
  <s xml:id="echoid-s3549" xml:space="preserve">di che <lb/>ſi ſdegnerebbono i metafiſici, che tale uguaglian-<lb/>za hanno per un principio manifeſtiſſimo. </s>
  <s xml:id="echoid-s3550" xml:space="preserve">Queſto <lb/>caſo poi vuole, che ſia la compoſizione, e la riſo-<lb/>luzione dei movimenti, quando o di due ſe ne com-<lb/>pone uno, che è ſempre minore della ſomma di <lb/>quei due, o uno in due ſi riſolve, la cui ſomma <lb/>è ſempre maggior di quell’ uno. </s>
  <s xml:id="echoid-s3551" xml:space="preserve">Così egli intro-<lb/>duce quella ſua forza viva per ſoſtenere l’ ugua-<lb/>glianza della cagione e dell’ effetto, e farſi amici i <lb/>metafiſici. </s>
  <s xml:id="echoid-s3552" xml:space="preserve">Il che ſe egli ottenga, e come, vedre <lb/>tevel voi; </s>
  <s xml:id="echoid-s3553" xml:space="preserve">io ve ne dirò la dimoſtrazione, dopo <lb/>che avrò dichiarate alcune propoſizioni, che all’ <lb/>autore piace di aſſumere, e che la coſa iſteſſa ri-<lb/>chiede; </s>
  <s xml:id="echoid-s3554" xml:space="preserve">e comincierò in tal guiſa. </s>
  <s xml:id="echoid-s3555" xml:space="preserve">Ciò detto ſo-<lb/>praſtette di nuovo alquanto; </s>
  <s xml:id="echoid-s3556" xml:space="preserve">indi impoſto a tutti, <lb/>che guardaſſero nella figura quarta, ſeguitò: </s>
  <s xml:id="echoid-s3557" xml:space="preserve">La <lb/>
<anchor type="note" xlink:label="note-0275-01a" xlink:href="note-0275-01"/>
linea SA, che ſola io voglio ora conſiderare nel-<lb/>la preſente figura, ſia una corda elaſtica, che a-<lb/>vendo un’eſtremo immobilmente piantato nel pun-
<pb o="252" file="0276" n="276" rhead="DELLA FORZA DE’ CORPI"/>
to S, con l’ altro ſi attacchi a un globo A, e <lb/>contraendoſi, a cagione dell’ elaſticità ſua, lo ti-<lb/>ri verſo S per uno ſpazietto infiniteſimo a<emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3558" xml:space="preserve">Qui <lb/>par certamente, che ſieno da concederſi due coſe, <lb/>delle quali, come vedrete, il P. </s>
  <s xml:id="echoid-s3559" xml:space="preserve">Riccati ſi vale <lb/>aſſai deſtramente. </s>
  <s xml:id="echoid-s3560" xml:space="preserve">La prima ſi è, che l’ azion della <lb/>corda altro non ſia, che l’ accoreiarſi; </s>
  <s xml:id="echoid-s3561" xml:space="preserve">di fatti a che <lb/>altro tende l’ elaſticità? </s>
  <s xml:id="echoid-s3562" xml:space="preserve">Il quale accorciamento ſen-<lb/>za dubio miſurar ſi vuole dallo ſpazio A<emph style="it">p</emph>, eſſendo <lb/>chiaro, che di tanto viene la corda ad accorciarſi, <lb/>quanto eſſo ſpazio è lungo. </s>
  <s xml:id="echoid-s3563" xml:space="preserve">La ſeconda coſa, che mi <lb/>par pur da concedere, ſi è, che eſſendo lo ſpazietto A<emph style="it">p</emph> <lb/>infinitamente piccolo, la corda preme e tira il glo-<lb/>bo egualmente in qualunque punto di eſſo; </s>
  <s xml:id="echoid-s3564" xml:space="preserve">ſe già <lb/>non voleſſimo tener conto di quelle differenze, <lb/>che per la loro infinita piccolezza poſſono traſcu-<lb/>rarſi, e debbono. </s>
  <s xml:id="echoid-s3565" xml:space="preserve">Onde ſegue, che il globo per <lb/>tutto quel tempo, in cui ſcorre lo ſpazio A<emph style="it">p</emph> ve-<lb/>nendo verſo S, ſia ſempre da una egual preſſione <lb/>ſollecitato e moſſo, ne più ne meno come un grave, <lb/>il qual cada verſo il centro della terra; </s>
  <s xml:id="echoid-s3566" xml:space="preserve">e per ciò <lb/>in quel breve corſo, che egli fa da A fino in <emph style="it">p</emph>, <lb/>oſſervi tutte le leggi della gravità, e ſia lo ſpazio <lb/>A<emph style="it">p</emph> proporzionale al quadrato di quella velocità, <lb/>che egli avrà acquiſtata giunto in <emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3567" xml:space="preserve">Avendo fin <lb/>quì detto il Signor D. </s>
  <s xml:id="echoid-s3568" xml:space="preserve">Felice, ſi tacqüe così un po-<lb/>co; </s>
  <s xml:id="echoid-s3569" xml:space="preserve">et io allora, ſe voi, diſſi, non avevate altro da <lb/>proporci, non vi facea meſtieri di tanto lungo proe-<lb/>mio. </s>
  <s xml:id="echoid-s3570" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s3571" xml:space="preserve">riſpoſe il Sig. </s>
  <s xml:id="echoid-s3572" xml:space="preserve">D. </s>
  <s xml:id="echoid-s3573" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s3574" xml:space="preserve">io non vi ho an-<lb/>corpropoſto ne detto nulla. </s>
  <s xml:id="echoid-s3575" xml:space="preserve">A me parea, riſpoſi io,
<pb o="253" file="0277" n="277" rhead="LIBRO III."/>
che voi aveſte detto ogni coſa; </s>
  <s xml:id="echoid-s3576" xml:space="preserve">perchè il voſtro <lb/>diſcorſo non tende egli a dimoſtrare, la forza <lb/>viva dover eſſer proporzionale al quadrato della <lb/>velocità? </s>
  <s xml:id="echoid-s3577" xml:space="preserve">Or ſe l’ azion della corda è lo ſteſſo <lb/>accorciarſi, come voi dite; </s>
  <s xml:id="echoid-s3578" xml:space="preserve">e ſe l’ accorciar-<lb/>ſi ſi miſura dallo ſpazio, e lo ſpazio è pro-<lb/>porzionale al quadrato della velocità; </s>
  <s xml:id="echoid-s3579" xml:space="preserve">ſi vede ſu-<lb/>bito, che l’ azione dovrà eſſere proporzionale al <lb/>quadrato della velocità; </s>
  <s xml:id="echoid-s3580" xml:space="preserve">e per ciò anche l’ effetto, <lb/>cui potremo chiamar forza viva: </s>
  <s xml:id="echoid-s3581" xml:space="preserve">col quale argomen-<lb/>to può eſſer finita la quiſtione. </s>
  <s xml:id="echoid-s3582" xml:space="preserve">Si; </s>
  <s xml:id="echoid-s3583" xml:space="preserve">ſe il Padre Ric-<lb/>cati, riſpoſe quivi quaſi ridendo il Signor D. </s>
  <s xml:id="echoid-s3584" xml:space="preserve">Fe-<lb/>lice, foſſe così frettoloſo, come voi. </s>
  <s xml:id="echoid-s3585" xml:space="preserve">Ma egli non <lb/>ha tanta fretta, e dimoſtra le coſe a ſuo comodo. <lb/></s>
  <s xml:id="echoid-s3586" xml:space="preserve">Pertanto non ſi ferma a coteſto voſtro argomen-<lb/>to; </s>
  <s xml:id="echoid-s3587" xml:space="preserve">ma paſſa più avanti, volendo far vedere la ne-<lb/>ceſſità della forza viva per mezzo della compoſi-<lb/>zione del moto. </s>
  <s xml:id="echoid-s3588" xml:space="preserve">E queſto è il fine, a cui ſi dirige <lb/>la dimoſtrazion ſua, come ſopra ho detto; </s>
  <s xml:id="echoid-s3589" xml:space="preserve">alla <lb/>quale io verrò accoſtandomi a poco a poco, giac-<lb/>chè ſopra le coſe finora dette parmi, che non abbiate <lb/>dubio alcuno. </s>
  <s xml:id="echoid-s3590" xml:space="preserve">Qui fermoſſi alquanto; </s>
  <s xml:id="echoid-s3591" xml:space="preserve">e tacendo-<lb/>mi io tuttavia, feceſi innanzi il Signor D. </s>
  <s xml:id="echoid-s3592" xml:space="preserve">Nicola, <lb/>e non crediate già, diſſe, che, perchè egli ſi taccia, <lb/>vi conceda però la ſeconda delle due coſe, che <lb/>avete dette, cioè che il globo eſſendo portato da <lb/>A in <emph style="it">p</emph> per una preſſione continva et eguale, deb-<lb/>ba per queſto oſſervare le leggi della gravità. </s>
  <s xml:id="echoid-s3593" xml:space="preserve">An-<lb/>zi di queſto, ripreſi io allora, non voglio diſputar <lb/>punto, e ſon preſtiſſimo di concederlo, ſe il Signor
<pb o="254" file="0278" n="278" rhead="DELLA FORZA DE’ CORPI"/>
D. </s>
  <s xml:id="echoid-s3594" xml:space="preserve">Felice così vuole. </s>
  <s xml:id="echoid-s3595" xml:space="preserve">E quando io aveſſi voglia di <lb/>diſputare, mi piacerebbe più toſto negar la prima <lb/>delle due coſe, che egli ha detto. </s>
  <s xml:id="echoid-s3596" xml:space="preserve">Voi, diſſe allo-<lb/>ra il Signor D. </s>
  <s xml:id="echoid-s3597" xml:space="preserve">Nicola, ſiete più corteſe dopo ce-<lb/>na, che non foſte oggi; </s>
  <s xml:id="echoid-s3598" xml:space="preserve">perchè oggi diſputandoſi <lb/>degli elaſtri, che nell’ aprirſi urtano un globo, <lb/>quantunque il globo ſia portato per uno ſpaziet-<lb/>to infiniteſimo da una preſſione continua, e ſem-<lb/>pre eguale, non avete però mai voluto concedere <lb/>che egli debba per ciò ſeguire le leggi della gravi-<lb/>tà; </s>
  <s xml:id="echoid-s3599" xml:space="preserve">e quelle ragioni, che adducevate oggi, ben <lb/>parmi, che potrebbono ſimilmente addurſi nel ca-<lb/>ſo noſtro. </s>
  <s xml:id="echoid-s3600" xml:space="preserve">Se a voi pare, riſpoſi io allora, che <lb/>quelle ragioni, che io ho addotte oggi in propo-<lb/>ſito degli elaſtri, debban valere anche ora in pro-<lb/>poſito della fune, e voi fatele valere, quanto vi <lb/>piace; </s>
  <s xml:id="echoid-s3601" xml:space="preserve">che io non vi contraſterò punto, ne ſopra <lb/>ciò ſarò moleſto a niun di voi due. </s>
  <s xml:id="echoid-s3602" xml:space="preserve">Io vorrei bene, <lb/>che mi ſi dimoſtraſſe la prima delle due coſe, che <lb/>il Signor D. </s>
  <s xml:id="echoid-s3603" xml:space="preserve">Felice ha dette, cioè che l’ azion del-<lb/>la corda ſia l’ accorciarſi. </s>
  <s xml:id="echoid-s3604" xml:space="preserve">Difficilmente, diſſe qui-<lb/>vi la Signora Principeſſa, potrebbe dimoſtrarſi co-<lb/>ſa, che par tanto chiara; </s>
  <s xml:id="echoid-s3605" xml:space="preserve">e ſe voi volete negarla, <lb/>crederanno queſti Signori, che voi vogliate far <lb/>prova del voſtro ingegno. </s>
  <s xml:id="echoid-s3606" xml:space="preserve">Io non ſo, riſpoſi, <lb/>quanto foſſe per giovarmi il farne prova; </s>
  <s xml:id="echoid-s3607" xml:space="preserve">ma ſe <lb/>la coſa è tanto chiara, quanto voi dite, almeno <lb/>mi ſi ſpieghi. </s>
  <s xml:id="echoid-s3608" xml:space="preserve">Che biſogno ha di ſpiegazione? </s>
  <s xml:id="echoid-s3609" xml:space="preserve">riſpo-<lb/>ſe ſubito la Signora Principeſsa, perciocchèche altro <lb/>fa la corda elaſtica, quando ella tira il globo da A
<pb o="255" file="0279" n="279" rhead="LIBRO III."/>
fino in <emph style="it">p</emph>, ſe non accorciarſi? </s>
  <s xml:id="echoid-s3610" xml:space="preserve">Che altro fa! ripi-<lb/>gliai io; </s>
  <s xml:id="echoid-s3611" xml:space="preserve">tira il globo, cioè lo muove da A fino <lb/>in <emph style="it">p</emph>; </s>
  <s xml:id="echoid-s3612" xml:space="preserve">e queſta è l’ azion ſua. </s>
  <s xml:id="echoid-s3613" xml:space="preserve">Oh, diſſe quivi il <lb/>Signor D. </s>
  <s xml:id="echoid-s3614" xml:space="preserve">Felice, queſto tirare il globo da A ſi-<lb/>no in <emph style="it">p</emph>, non è lo ſteſſo, quanto alla corda, che <lb/>l’ accorciarſi? </s>
  <s xml:id="echoid-s3615" xml:space="preserve">Vedete, riſpoſi io allora, ſe è lo <lb/>ſteſſo. </s>
  <s xml:id="echoid-s3616" xml:space="preserve">S’ io dirò, la corda eſſerſi accorciata, ti-<lb/>rando il globo da A fino in <emph style="it">p</emph>, e dimanderò qual <lb/>ſia la miſura di tale accorciamento, neſſuno dubi-<lb/>terà che la miſura non ſia lo ſteſſo ſpazio A<emph style="it">p</emph>, <lb/>ſenza più; </s>
  <s xml:id="echoid-s3617" xml:space="preserve">ma ſe io dirô, la corda aver tirato e <lb/>moſſo il globo da A fino in <emph style="it">p</emph>, e dimanderò qual <lb/>ſia la miſura di un tal movimento, e dell’ azione, <lb/>che l’ha prodotto, voi certo non riſponderete, la <lb/>miſura eſſerne lo ſpazio A<emph style="it">p</emph>, ma miſurerete il mo-<lb/>vimento, ſecondo la comun regola, dalla maſſa e <lb/>dalla velocità; </s>
  <s xml:id="echoid-s3618" xml:space="preserve">e la ſteſſa miſura ſarà dell’ azione. <lb/></s>
  <s xml:id="echoid-s3619" xml:space="preserve">Vedete dunque, che altro è accorciarſi, altro è <lb/>movere il globo; </s>
  <s xml:id="echoid-s3620" xml:space="preserve">et io diſtinguendo queſte due <lb/>coſe, dico, che l’azion della corda è movere il <lb/>globo, cioè produrre in eſſo un certo movimen-<lb/>to, non l’ accorciarſi. </s>
  <s xml:id="echoid-s3621" xml:space="preserve">Io credo, diſſe quivi il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3622" xml:space="preserve">Felice, che voi troverete pochi, i quali <lb/>vi concedano, che lo ſteſſo accorciarſi non con-<lb/>tenga in ſe azione. </s>
  <s xml:id="echoid-s3623" xml:space="preserve">Contiene in ſe azione, riſpoſi, <lb/>perchè contiene in ſe il movere, non potendo in-<lb/>tenderſi accorciamento ſenza moto; </s>
  <s xml:id="echoid-s3624" xml:space="preserve">ma biſogna <lb/>avvertire, che oltre il moto ricercaſi all’ accorcia-<lb/>mento anche una certa direzione; </s>
  <s xml:id="echoid-s3625" xml:space="preserve">perciocchè ſe la <lb/>corda premeſſe, e moveſſe il globo non verſo S,
<pb o="256" file="0280" n="280" rhead="DELLA FORZA DE’ CORPI"/>
ma verſo la parte contraria, moverebbe il globo, <lb/>ma non ſi accorcerebbe: </s>
  <s xml:id="echoid-s3626" xml:space="preserve">allora ſolo ſi accorcia, <lb/>quando move il globo con la direzione verſo S; </s>
  <s xml:id="echoid-s3627" xml:space="preserve">e <lb/>perciocchè la direzione non conſtituiſce in niun <lb/>modo l’ azione, la quale è la ſteſſa, qualunque <lb/>direzione abbia, per ciò tutta l’ azione della cor-<lb/>da nell’ accorciarſi, non è altro, che movere il <lb/>globo. </s>
  <s xml:id="echoid-s3628" xml:space="preserve">Ma alcuni confondono ogni coſa, e ſi for-<lb/>mano una certa idea dell’ accorciamento, la qual <lb/>veramente dovrebbe miſurarſi dal ſolo ſpazio; </s>
  <s xml:id="echoid-s3629" xml:space="preserve">e <lb/>in quella credono, che conſiſta l’ azione. </s>
  <s xml:id="echoid-s3630" xml:space="preserve">Nel che <lb/>ſi ingannano, perchè, ſe ciò foſſe, ne ſeguirebbe, <lb/>che purchè il globo ſi tiraſſe per lo ſteſſo ſpazio, <lb/>qualunque ne foſſe la velocità, doveſse l’ azione <lb/>eſser ſempre la ſteſsa, eſsendo ſempre lo ſteſso ac-<lb/>corciamento. </s>
  <s xml:id="echoid-s3631" xml:space="preserve">Appena aveva io dette queſte paro-<lb/>le, che il Signor Marcheſe di Campo Hermoſo <lb/>moſtrò di voler dire; </s>
  <s xml:id="echoid-s3632" xml:space="preserve">laonde il Signor D. </s>
  <s xml:id="echoid-s3633" xml:space="preserve">Felice, <lb/>che già era preſto di riſpondere, ſopraſtette, e il <lb/>Signor Marcheſe così diſſe: </s>
  <s xml:id="echoid-s3634" xml:space="preserve">ſe niun globo, ne al-<lb/>tro corpo foſse attaccato alla corda, e doveſse el-<lb/>la accorciarſi ſenza tirar nulla, vorrei ſapere, qual <lb/>ſarebbe allora l’ azion ſua; </s>
  <s xml:id="echoid-s3635" xml:space="preserve">perciocchè pare, che <lb/>in quel caſo ella non faceſse altro che accorciarſi. <lb/></s>
  <s xml:id="echoid-s3636" xml:space="preserve">In quel caſo, riſpoſi io allora, ella tirerebbe ſe <lb/>medeſima, cioè tirerebbe verſo il punto S tutte <lb/>quelle parti, che compongono l’ eſtremſtà A del-<lb/>la corda ſteſsa, le quali avendo la loro maſsa co-<lb/>sì, come il globo ha, lo ſteſso potrebbe dirſi di <lb/>loro, che del globo ſi è detto. </s>
  <s xml:id="echoid-s3637" xml:space="preserve">Anzi non altro in-
<pb o="257" file="0281" n="281" rhead="LIBRO III."/>
tendiamo noi per queſto globo, ſe non quella <lb/>maſsa, che è poſta all’ eſtremo A, o ſia eſsa un <lb/>corpo attaccato alla corda, o ſia una parte della <lb/>corda medeſima. </s>
  <s xml:id="echoid-s3638" xml:space="preserve">Qui eſsendoſi il Signor Marche-<lb/>ſe taciuto, ripigliò il Signor D. </s>
  <s xml:id="echoid-s3639" xml:space="preserve">Felice in tal gui-<lb/>ſa. </s>
  <s xml:id="echoid-s3640" xml:space="preserve">Io non vorrei, che perchè il P. </s>
  <s xml:id="echoid-s3641" xml:space="preserve">Riccati moſtri <lb/>quaſi ſempre di riporre l’ azion della corda nello <lb/>ſteſso accorciarſi, ſi credeſse per ciò, che egli la <lb/>miſuraſse dallo ſpazio ſolo: </s>
  <s xml:id="echoid-s3642" xml:space="preserve">che queſto ſarebbe <lb/>troppo grande errore. </s>
  <s xml:id="echoid-s3643" xml:space="preserve">Anzi la miſura egli e dallo <lb/>ſpazio, e dalla potenza, moltiplicando l’ uno per <lb/>l’ altra; </s>
  <s xml:id="echoid-s3644" xml:space="preserve">così che eſsendo <emph style="it">p</emph> la potenza, <emph style="it">s</emph> lo ſpazio, <lb/>vuol, che l’ azione ſia <emph style="it">ps</emph>. </s>
  <s xml:id="echoid-s3645" xml:space="preserve">Perchè vedete, che <lb/>quand’ anche lo ſpazio reſti lo ſteſso, può tutta-<lb/>via l’ azione eſser varia, potendo variar la po-<lb/>tenza. </s>
  <s xml:id="echoid-s3646" xml:space="preserve">E per queſto ſi vede, riſpoſi io, che l’ a-<lb/>zione non è poſta nell’ accorciarſi; </s>
  <s xml:id="echoid-s3647" xml:space="preserve">poichè l’ accor-<lb/>ciamento, preſo così, come ſuol prenderſi, ſi mi-<lb/>ſura pur ſempre dallo ſpazio ſolo; </s>
  <s xml:id="echoid-s3648" xml:space="preserve">e ſi dirà comu-<lb/>nemente l’ accorciamento della corda eſſer ſempre <lb/>lo ſteſſo, purchè il globo ſcorra ſempre lo ſteſſo <lb/>ſpazio A<emph style="it">p</emph>, di qualunque maniera lo ſcorra. </s>
  <s xml:id="echoid-s3649" xml:space="preserve">Ma <lb/>io vorrei ben ſapere, non variandoſi lo ſpazio, <lb/>qual varietà naſcer poſſa nell’ azione e nell’ effet-<lb/>to dal variar ſolo della potenza. </s>
  <s xml:id="echoid-s3650" xml:space="preserve">Qui fattoſi <lb/>innanzi il Signor Conte della Cueva, naſce, diſ-<lb/>ſe, queſta varietà: </s>
  <s xml:id="echoid-s3651" xml:space="preserve">che ſe la potenza è maggiore, <lb/>il globo ſcorrerà lo ſteſſo ſpazio anche più preſta-<lb/>mente. </s>
  <s xml:id="echoid-s3652" xml:space="preserve">Cioè, riſpoſi io, in minor tempo. </s>
  <s xml:id="echoid-s3653" xml:space="preserve">Così è, <lb/>diſse il Signor Conte. </s>
  <s xml:id="echoid-s3654" xml:space="preserve">Dovrà dunque, ripigliai
<pb o="258" file="0282" n="282" rhead="DELLA FORZA DE’ CORPI"/>
io, eſsendo minore il tempo, ſtimarſi maggior l’ <lb/>azione; </s>
  <s xml:id="echoid-s3655" xml:space="preserve">e perchè ſi ſtima anche maggiore, eſsendo <lb/>maggiore lo ſpazio; </s>
  <s xml:id="echoid-s3656" xml:space="preserve">qual coſa è più facile, che <lb/>il dire, che ella ſarà proporzionale alla velocità, <lb/>e produrrà la velocità ſteſsa; </s>
  <s xml:id="echoid-s3657" xml:space="preserve">così che l’ azion del-<lb/>la corda ſarà il producimento della velocità del <lb/>globo; </s>
  <s xml:id="echoid-s3658" xml:space="preserve">cioè il movere, non l’ accorciarſi? </s>
  <s xml:id="echoid-s3659" xml:space="preserve">Se voi <lb/>parlate, diſse allora il Signor Conte, affin di con-<lb/>fondermi, non è al mondo più eccellente parla-<lb/>tore; </s>
  <s xml:id="echoid-s3660" xml:space="preserve">perchè di vero voi mi avete così confuſo, <lb/>che ormai comincia a parermi, che qualora una <lb/>fune ſi accorcia, l’ azion ſua non ſia l’ accorciarſi. <lb/></s>
  <s xml:id="echoid-s3661" xml:space="preserve">Ma che? </s>
  <s xml:id="echoid-s3662" xml:space="preserve">quando un corpo riſcalda, non diciam <lb/>noi, che l’ azion ſua ſi è il riſcaldare? </s>
  <s xml:id="echoid-s3663" xml:space="preserve">e quando <lb/>un corpo riſplende, non diciam noi, che l’ azion <lb/>ſua ſi è il riſplendere? </s>
  <s xml:id="echoid-s3664" xml:space="preserve">e quando un corpo cade, <lb/>non diciam noi, che l’ azion ſua ſi è il cadere? </s>
  <s xml:id="echoid-s3665" xml:space="preserve"><lb/>or perchè dunque, qualor s’ accorcia una fune, <lb/>non direm noi, che l’ azion ſua ſia l’ accorciarſi? </s>
  <s xml:id="echoid-s3666" xml:space="preserve"><lb/>Se noi, riſpoſi, andremo dietro a coteſto voſtro <lb/>argomento, biſognerà dire, che quando uno ſi <lb/>ripoſa, la ſua azione è il ripoſarſi. </s>
  <s xml:id="echoid-s3667" xml:space="preserve">Non già, riſ-<lb/>poſe ſubito il Signor Conte, poichè nel ripoſarſi <lb/>non è azion niuna; </s>
  <s xml:id="echoid-s3668" xml:space="preserve">concioſiachè chi ſi ripoſa per <lb/>queſto appunto ſi ripoſa, perchè non fa nulla; </s>
  <s xml:id="echoid-s3669" xml:space="preserve">e <lb/>certo biſogna guardarſi da un’ inganno, che ſpeſ-<lb/>ſe volte naſce dalla conſuetudine; </s>
  <s xml:id="echoid-s3670" xml:space="preserve">perciocchè eſ-<lb/>ſendo conſuetudine dei verbi ſignificar qualche <lb/>azione, a noi pare, che tutti debbano ſignificar-<lb/>ne alcuna; </s>
  <s xml:id="echoid-s3671" xml:space="preserve">il che però non è vero; </s>
  <s xml:id="echoid-s3672" xml:space="preserve">come ſi vede
<pb o="259" file="0283" n="283" rhead="LIBRO III."/>
in ſtare, ſedere, giacere, ed altri, dove non è a-<lb/>zion niuna, ma noi portati dalla conſuetudine ve <lb/>la immaginiamo. </s>
  <s xml:id="echoid-s3673" xml:space="preserve">Voi dite beniſſimo, riſpoſi; </s>
  <s xml:id="echoid-s3674" xml:space="preserve">mæ<unsure/> <lb/>come ha alcuni verbi, che non ſignificano azion <lb/>niuna; </s>
  <s xml:id="echoid-s3675" xml:space="preserve">così n’ ha moltiſſimi, che ſignificando al-<lb/>cuna azione, non ſignifican però eſſa ſola, ma ſi <lb/>traggon dietro qualche altro ſentimento, che con-<lb/>giungono con l’azione, e che biſogna poi ſeparar <lb/>da eſſi, chi vuol intendere l’ azion ſola. </s>
  <s xml:id="echoid-s3676" xml:space="preserve">Così ſe <lb/>voi dite, che il ſole riſcalda, non crediate, che ſia <lb/>qui altra azione del ſole, ſe non quella di movere <lb/>certe minutiſſime particelle; </s>
  <s xml:id="echoid-s3677" xml:space="preserve">ma naſcendo in noi <lb/>per tal moto un non ſo qual ſentimento, che calo-<lb/>re chiamiamo, il verbo riſcaldare abbraccia anche <lb/>queſto; </s>
  <s xml:id="echoid-s3678" xml:space="preserve">e così dite del riſplendere, e così del ca-<lb/>dere: </s>
  <s xml:id="echoid-s3679" xml:space="preserve">il qual verbo cadere ſignifica inſieme e il mo-<lb/>vimento, che ha il corpo, e la direzione all’ in giù; <lb/></s>
  <s xml:id="echoid-s3680" xml:space="preserve">ma tutta l’ azione però è nel movimento ſolo. </s>
  <s xml:id="echoid-s3681" xml:space="preserve">E <lb/>lo ſteſſo ſimilmente avviene del verbo accorciarſi, <lb/>per cui s’ intende e il movimento, e la direzione; </s>
  <s xml:id="echoid-s3682" xml:space="preserve"><lb/>ma l’ azione non è altro che il movimento; </s>
  <s xml:id="echoid-s3683" xml:space="preserve">e cre-<lb/>do, che in tutti i verbi, che ſi uſano parlando de’ <lb/>corpi, non altra azione ritroverete mai, ſe non <lb/>quella di movere, o diſporre al movimento; </s>
  <s xml:id="echoid-s3684" xml:space="preserve">per-<lb/>ciocchè la natura queſto ſolo opera, et agiſce ne <lb/>corpi, ne in altro ſi eſercita, per quanto ſaper ne <lb/>poſſiamo; </s>
  <s xml:id="echoid-s3685" xml:space="preserve">onde poi ſegue, che le potenze, che <lb/>producono il movimento, o lo diſtruggono, ba-<lb/>ſtino da ſe ſole ad’ ogni effetto. </s>
  <s xml:id="echoid-s3686" xml:space="preserve">Avendo io finqui <lb/>detto, mi fermai. </s>
  <s xml:id="echoid-s3687" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s3688" xml:space="preserve">Felice, ſe
<pb o="260" file="0284" n="284" rhead="DELLA FORZA DE’ CORPI"/>
voi, diſſe, vorrete ſottilizzar tanto ſopra o-<lb/>gni coſa, e diſcender fino alle quiſtioni gramati-<lb/>cali, non ſarà mai, ch’ io giunga ad’ eſporvi la di-<lb/>moſtrazione del Padre Riccati. </s>
  <s xml:id="echoid-s3689" xml:space="preserve">Se ella è fondata, <lb/>diſſi io allora, nelle coſe, che avete fin qui eſpoſte, <lb/>io comincio già da ora ad averla per una dimo-<lb/>ſtrazione aſſai incerta. </s>
  <s xml:id="echoid-s3690" xml:space="preserve">Certo, diſſe il Signor D. <lb/></s>
  <s xml:id="echoid-s3691" xml:space="preserve">Felice ridendo, ſe voi vi oſtinate in coteſte ſot-<lb/>tigliezze, ella non avrà luogo; </s>
  <s xml:id="echoid-s3692" xml:space="preserve">ne accade, che io <lb/>proceda più avanti. </s>
  <s xml:id="echoid-s3693" xml:space="preserve">No, diſſi; </s>
  <s xml:id="echoid-s3694" xml:space="preserve">perchè, per udirla, <lb/>io ſon diſpoſto di concedervi, ſe volete, che l’ a-<lb/>zion della corda ſia l’ accorciarſi; </s>
  <s xml:id="echoid-s3695" xml:space="preserve">vedete, che il <lb/>Signor D. </s>
  <s xml:id="echoid-s3696" xml:space="preserve">Niccola non ſi oſtini egli a negarvi, che <lb/>il globo venendo da A in <emph style="it">p</emph> ſegua le leggi della gra-<lb/>vità. </s>
  <s xml:id="echoid-s3697" xml:space="preserve">Io non nego queſto, diſſe il Signor D. </s>
  <s xml:id="echoid-s3698" xml:space="preserve">Nic-<lb/>cola; </s>
  <s xml:id="echoid-s3699" xml:space="preserve">ſolo ho temuto che voi voleſte negarlo. </s>
  <s xml:id="echoid-s3700" xml:space="preserve">Ma <lb/>giacchè voi così d’ improvviſo vi ſiete renduto tan-<lb/>to docile, fie meglio laſciar procedere avanti il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3701" xml:space="preserve">Felice, e vedere, come vada la dimoſtra-<lb/>zione a finire. </s>
  <s xml:id="echoid-s3702" xml:space="preserve">Prima di eſporlavi, diſſe allora il <lb/>Signor D. </s>
  <s xml:id="echoid-s3703" xml:space="preserve">Felice, io debbo avvertirvi di alcune <lb/>altre poche coſe; </s>
  <s xml:id="echoid-s3704" xml:space="preserve">il che farò conſiderando la cor-<lb/>da SA non più da ſe ſola, come finora ho fatto, <lb/>ma in altro modo; </s>
  <s xml:id="echoid-s3705" xml:space="preserve">vedrete voi, ſe vi piacerà di <lb/>concederle. </s>
  <s xml:id="echoid-s3706" xml:space="preserve">Sia dunque AD un piano, che faccia <lb/>con la corda AS un’ angolo, che 10<unsure/> voglio al pre-<lb/>ſente ſupporre acuto. </s>
  <s xml:id="echoid-s3707" xml:space="preserve">Il globo A appoggiandoſi <lb/>al piano, et eſſendo tirato dalla corda, ne poten-<lb/>do ſeguire la direzione AS, ne ſegua un’ altra ſul <lb/>piano ſteſſo. </s>
  <s xml:id="echoid-s3708" xml:space="preserve">Ciò preſuppoſto, la corda tiri il glo-
<pb o="261" file="0285" n="285" rhead="LIBRO III."/>
bo ſecondo la direzione AD per uno ſpazietto in-<lb/>finiteſimo da A fino in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s3709" xml:space="preserve">ſe noi condurremo dal <lb/>punto <emph style="it">r</emph> una linea <emph style="it">rp</emph> perpendicolare ad AS, dice <lb/>il Padre Riccati molto ſottilmente, che l’ azione, <lb/>che avrà fatto la corda traendo il globo da A fino <lb/>in <emph style="it">r</emph> nella direzione AD, ſarà eguale a quella azio-<lb/>ne, che avrebbe fatta, traendolo nella direzione <lb/>AS da A fino in <emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3710" xml:space="preserve">La qual propoſizione voi non <lb/>dovete negarmi, ſe già non volete togliermi quel-<lb/>lo, che pur poc’ anzi mi avete conceduto. </s>
  <s xml:id="echoid-s3711" xml:space="preserve">Percioc-<lb/>chè ſe l’ azion della corda ſi è pur l’ accorciar-<lb/>ſi, chi non vede, che traendo il globo per u-<lb/>no ſpazio infiniteſimo da A fino in <emph style="it">r</emph>, e paſſan-<lb/>do eſſa corda in S<emph style="it">r</emph>, viene ella ad accorciarſi <lb/>della lunghezza A<emph style="it">p</emph>? </s>
  <s xml:id="echoid-s3712" xml:space="preserve">(dico della lunghezza A<emph style="it">p</emph>, <lb/>traſcurando, come s’ uſa, le differenze infinita-<lb/>mente piccole) e della ſteſſa lunghezza A<emph style="it">p</emph> ſareb-<lb/>beſi pure accorciata traendo il globo da A fino in <lb/><emph style="it">p</emph> nella direzione AS; </s>
  <s xml:id="echoid-s3713" xml:space="preserve">onde ne ſegue, che ſe l’ a-<lb/>zion della corda è pur l’ accorciarſi, debba ella <lb/>nell’ uno, e nell’ altro caſo eſſere la medeſima, eſ-<lb/>ſendo nell’ uno e nell’ altro caſo il medeſimo ac-<lb/>corciamento. </s>
  <s xml:id="echoid-s3714" xml:space="preserve">E vedete, come conſenton le coſe <lb/>tra loro, e, per così dire, ſi accordano. </s>
  <s xml:id="echoid-s3715" xml:space="preserve">Percioc-<lb/>chè il globo A, ſcorrendo la lineetta A<emph style="it">r</emph>, acquiſta <lb/>quella ſteſſa velocità, e quella ſteſſa forza, che av-<lb/>rebbe acquiſtata ſcorrendo A<emph style="it">p</emph>; </s>
  <s xml:id="echoid-s3716" xml:space="preserve">il che è chiaro, ſe <lb/>voi pure mi attenete quello, che poco fa mi <lb/>avete conceduto, cioè che il globo ſegua et oſſer-<lb/>vi in queſto ſuo breviſſimo corſo le leggi della gra-
<pb o="262" file="0286" n="286" rhead="DELLA FORZA DE’CORPI"/>
vità; </s>
  <s xml:id="echoid-s3717" xml:space="preserve">poichè ſe egli le oſſerva, chi non vede, che <lb/>egli, venendo da A in <emph style="it">p</emph>, è come un grave, il qual <lb/>cada per una linea verticale dall’ altezza A<emph style="it">p</emph>, e ve-<lb/>nendo da A in <emph style="it">r</emph>, è come un grave, il qual cada. <lb/></s>
  <s xml:id="echoid-s3718" xml:space="preserve">dalla altezza medeſima per un piano inclinato A<emph style="it">r</emph>? </s>
  <s xml:id="echoid-s3719" xml:space="preserve"><lb/>Se egli ha dunque la ſteſſa velocità, e la ſteſſa for-<lb/>za così in <emph style="it">p</emph>, come in <emph style="it">r</emph>, non è da maravigliarſi, <lb/>che l’ azion della corda, o il tragga in <emph style="it">p</emph>, o il trag-<lb/>ga in <emph style="it">r</emph>, ſia ſempre la ſteſſa. </s>
  <s xml:id="echoid-s3720" xml:space="preserve">Il che voi, come ho <lb/>detto, non potete negarmi, ſe già non volete tor-<lb/>mi quelle propoſizioni, che poco fa mi avete li-<lb/>beralmente laſciate. </s>
  <s xml:id="echoid-s3721" xml:space="preserve">Vedete, diſſe quivi il Signor <lb/>D. </s>
  <s xml:id="echoid-s3722" xml:space="preserve">Nicola, di non valervi troppo della coſtui libe-<lb/>ralità; </s>
  <s xml:id="echoid-s3723" xml:space="preserve">perchè ſe egli vedrà in ultimo, che il voſtro <lb/>argomento lo ſtringa, ſi ripiglierà quello, che vi <lb/>ha donato; </s>
  <s xml:id="echoid-s3724" xml:space="preserve">ne vorrà farvi buona una dimoſtrazio-<lb/>ne, che abbia tanto biſogno della liberalità altrui. </s>
  <s xml:id="echoid-s3725" xml:space="preserve"><lb/>Farà egli, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s3726" xml:space="preserve">Felice, quello, che <lb/>gli piacerà; </s>
  <s xml:id="echoid-s3727" xml:space="preserve">ne è mio carico di ſoſtenere la dimo-<lb/>ſtrazione del Padre Riccati, ma ſol di eſporla; </s>
  <s xml:id="echoid-s3728" xml:space="preserve">al-<lb/>la quale io potrei entrar di preſente; </s>
  <s xml:id="echoid-s3729" xml:space="preserve">ma forſe, <lb/>queſti Signori avran, che dire ſopra quello, che, <lb/>ora ho ſtabilito. </s>
  <s xml:id="echoid-s3730" xml:space="preserve">Qui parve, che il Signor D. </s>
  <s xml:id="echoid-s3731" xml:space="preserve">Feli-<lb/>ce ſi fermaſſe alquanto; </s>
  <s xml:id="echoid-s3732" xml:space="preserve">e allora la Signora Princi-<lb/>peſſa, io non vi leverò già, diſſe, le propoſizioni, <lb/>che queſto Signore vi ha donate; </s>
  <s xml:id="echoid-s3733" xml:space="preserve">vedrà egli, ſe, <lb/>voi ne facciate buon uſo. </s>
  <s xml:id="echoid-s3734" xml:space="preserve">Vorrei bene, che mi <lb/>ſoddisfaceſte di una mia curioſità. </s>
  <s xml:id="echoid-s3735" xml:space="preserve">Voi conſiderate <lb/>il globo A ne più ne meno, come ſe egli foſſe, <lb/>un corpo grave, e il punto S foſſe il centro della,
<pb o="263" file="0287" n="287" rhead="LIBRO III."/>
terra, che a ſe lo traeſſe; </s>
  <s xml:id="echoid-s3736" xml:space="preserve">perchè ciò poſto ſarebbe <lb/>A<emph style="it">p</emph> la diſceſa verticale, et A<emph style="it">r</emph> la diſceſa per un, <lb/>piano inclinato, e ſeguirebbon tutte le coſe ap-<lb/>punto, che avete dette. </s>
  <s xml:id="echoid-s3737" xml:space="preserve">Io vorrei dunque ſapere, <lb/>perchè non più toſto abbiate voluto valervi dell’ <lb/>eſempio di un corpo grave, il qual ſi mova per la <lb/>ſua propria gravità, ſenza introdur qui una corda <lb/>elaſtica, ſopra cui vedete quanti dubj ſon nati. <lb/></s>
  <s xml:id="echoid-s3738" xml:space="preserve">Ma forſe nella dimoſtrazione, che voi ci eſporre-<lb/>te, ſarà neceſſario aver ſuppoſto il globo più toſto <lb/>tirato da una fune, che ſpinto dalla ſua natural <lb/>gravità. </s>
  <s xml:id="echoid-s3739" xml:space="preserve">E’ egli così? </s>
  <s xml:id="echoid-s3740" xml:space="preserve">Non credo, Signora; </s>
  <s xml:id="echoid-s3741" xml:space="preserve">riſpoſe <lb/>il Signor D. </s>
  <s xml:id="echoid-s3742" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s3743" xml:space="preserve">che anzi il Padre Riccati av-<lb/>viſa in più d’ un luogo quello ſteſſo, che avviſate <lb/>voi; </s>
  <s xml:id="echoid-s3744" xml:space="preserve">e dice poterſi anche intendere in vece dell’ a-<lb/>zion della fune l’ azion della gravità; </s>
  <s xml:id="echoid-s3745" xml:space="preserve">ma pure egli <lb/>ama l’ eſempio della fune, e a queſto ſempre, <lb/>tien dietro, qual che ne ſia la cagione. </s>
  <s xml:id="echoid-s3746" xml:space="preserve">Io credo, <lb/>diſſi io allora, che la cagion ſia, perchè immagi-<lb/>nando il globo tirato da una fune elaſtica, facil <lb/>coſa era, che ognuno, ſenza avvederſene, traſcor-<lb/>reſſe a credere che l’ azione foſſe lo ſteſſo accor-<lb/>ciamento, e però doveſſe miſurarſi dallo ſpazio; </s>
  <s xml:id="echoid-s3747" xml:space="preserve"><lb/>perciocchè il nome di accorciamento ci riſveglia. </s>
  <s xml:id="echoid-s3748" xml:space="preserve"><lb/>principalmente l’ idea d’ uno ſpazio ſminuito. </s>
  <s xml:id="echoid-s3749" xml:space="preserve">E <lb/>troppo ha egli biſogno d’ imprimere nella men-<lb/>te degli uomini, che l’ azione s’ abbia. </s>
  <s xml:id="echoid-s3750" xml:space="preserve"><lb/>a miſurar dallo ſpazio. </s>
  <s xml:id="echoid-s3751" xml:space="preserve">Se egli aveſſe imma-<lb/>ginato un globo cadente per la ſua natural gravi-<lb/>tà, non avrebbe avuto luogo quel verbo accor-
<pb o="264" file="0288" n="288" rhead="DELLA FORZA DE’ CORPI"/>
ciarſi, ne ſarebbe ſtato così facile il perſuadere, <lb/>che l’ azione doveſſe eſſere per lo ſpazio miſura-<lb/>ta. </s>
  <s xml:id="echoid-s3752" xml:space="preserve">Io credo dunque, che egli abbia ſeguito l’ e-<lb/>ſempio della corda elaſtica, per la comodità del <lb/>vocabolo. </s>
  <s xml:id="echoid-s3753" xml:space="preserve">Lo ſteſſo comodo avrebbe avuto egli, <lb/>diſſe allora il Signor D. </s>
  <s xml:id="echoid-s3754" xml:space="preserve">Felice, ſe laſciando da. <lb/></s>
  <s xml:id="echoid-s3755" xml:space="preserve">parte la corda, ſi foſse ſervito dell’ eſempio della <lb/>gravità; </s>
  <s xml:id="echoid-s3756" xml:space="preserve">ſolo che gli foſse piaciuto di dire, che <lb/>l’ azione della gravità non è già movere il corpo, <lb/>cioè produrre in eſso un certo movimento, ma. </s>
  <s xml:id="echoid-s3757" xml:space="preserve"><lb/>l’ accoſtarlo al centro della terra; </s>
  <s xml:id="echoid-s3758" xml:space="preserve">poichè il nome <lb/>di accoſtamento, non men che quello di accor-<lb/>ciamento, riſveglia in noi principalmente l’ idea. </s>
  <s xml:id="echoid-s3759" xml:space="preserve"><lb/>d’ uno ſpazio ſminuito; </s>
  <s xml:id="echoid-s3760" xml:space="preserve">ne difficil ſarebbe dare ad <lb/>intendere, che eſſo pure doveſſe dallo ſpazio mi-<lb/>ſurarſi. </s>
  <s xml:id="echoid-s3761" xml:space="preserve">E voi vedete, che conſiderandoſi il globo <lb/>A, come un grave cadente, l’ accoſtamento ſuo al <lb/>centro S ſarebbe ſempre lo ſteſſo, o cadeſſe egli in <lb/><emph style="it">p</emph>, o cadeſſe in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s3762" xml:space="preserve">onde ſubito ſi conchiuderebbe <lb/>anche l’ azione eſſere ſempre la ſteſſa. </s>
  <s xml:id="echoid-s3763" xml:space="preserve">Sì, riſpoſi <lb/>io; </s>
  <s xml:id="echoid-s3764" xml:space="preserve">ma pochi peravventura trovereſte, che foſſer <lb/>diſpoſti di concepire l’ azione della gravità, come <lb/>la produzione d’ un’ accoſtamento; </s>
  <s xml:id="echoid-s3765" xml:space="preserve">eſſendo noi <lb/>troppo avvezzi a concepirla, come la produzione <lb/>d’ un movimento; </s>
  <s xml:id="echoid-s3766" xml:space="preserve">benchè da quel movimento ri-<lb/>ſulti poi l’ accoſtarſi al centro della terra. </s>
  <s xml:id="echoid-s3767" xml:space="preserve">Io non <lb/>voglio contender di ciò, diſse allora il Signor D. </s>
  <s xml:id="echoid-s3768" xml:space="preserve"><lb/>Felice; </s>
  <s xml:id="echoid-s3769" xml:space="preserve">ma piace al Padre Riccati ſeguire l’ eſem-<lb/>pio della fune elaſtica, et io debbo ſeguir lui; </s>
  <s xml:id="echoid-s3770" xml:space="preserve">e, <lb/>poco importa, quale eſempio ſi ſegua, o quello
<pb o="265" file="0289" n="289" rhead="LIBRO III."/>
della gravità, o quel della fune, pur che l’ azione, <lb/>o venga il globo da A in <emph style="it">p</emph>, o venga da A in <emph style="it">r</emph>, <lb/>ſia ſempre la ſteſſa. </s>
  <s xml:id="echoid-s3771" xml:space="preserve">E a me pur pare, diſſe allora <lb/>il Signor Marcheſe di Campo Hermoſo, che fin qui <lb/>poco importi ſeguir l’uno, o l’ altro eſempio, pur-<lb/>chè l’azione ſia ſempre la ſteſſa. </s>
  <s xml:id="echoid-s3772" xml:space="preserve">Ma s’ egli mi è <lb/>lecito frappormi ai ſermoni di voi altri grandi uo-<lb/>mini, dico, ch’ io non intendo, come l’azione, <lb/>debba poter eſſere ſempre la ſteſſa,<unsure/> s’ egli è vero <lb/>quello, che voi poco fa dicevate. </s>
  <s xml:id="echoid-s3773" xml:space="preserve">Che è queſto? <lb/></s>
  <s xml:id="echoid-s3774" xml:space="preserve">diſſe il Signor D. </s>
  <s xml:id="echoid-s3775" xml:space="preserve">Felice. </s>
  <s xml:id="echoid-s3776" xml:space="preserve">Voi dicevate, riſpoſe il <lb/>Signor Marcheſe, che l’azione ſi miſura dalla po-<lb/>tenza, edallo ſpazio, moltiplicando l’ una per l’ <lb/>altro, ela eſprimevate per <emph style="it">ps</emph>. </s>
  <s xml:id="echoid-s3777" xml:space="preserve">Così vuoleil Padre <lb/>Riccati, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s3778" xml:space="preserve">Felice, piacendo-<lb/>gli, che l’ azione altro non ſia, ſe non la potenza <lb/>applicata di mano in mano a tutte le parti dello <lb/>ſpazio. </s>
  <s xml:id="echoid-s3779" xml:space="preserve">Or bene, diſse il Signor Marcheſe, biſo-<lb/>gnerà dunque, che ſe la potenza riman la ſteſsa, <lb/>variando lo ſpazio, a cui ſi applica, varj ancor l’ <lb/>azione; </s>
  <s xml:id="echoid-s3780" xml:space="preserve">onde ſegue, che ſe la fune tirerà il glo-<lb/>bo prima da A in <emph style="it">p</emph>, poi da A in <emph style="it">r</emph>, non potrà l’ <lb/>azione nell’ uno e nell’ altro caſo eſser la ſteſsa; </s>
  <s xml:id="echoid-s3781" xml:space="preserve"><lb/>eſsendo la potenza, cioè l’ elaſticità della corda.</s>
  <s xml:id="echoid-s3782" xml:space="preserve">, <lb/>ſempre quella ſteſsa; </s>
  <s xml:id="echoid-s3783" xml:space="preserve">ma non già lo ſpazio, il qua-<lb/>le nel primo caſo è la linea A<emph style="it">p</emph>, nel ſecondo la. </s>
  <s xml:id="echoid-s3784" xml:space="preserve"><lb/>linea A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s3785" xml:space="preserve">Sì: </s>
  <s xml:id="echoid-s3786" xml:space="preserve">riſpoſe quivi il Signor D. </s>
  <s xml:id="echoid-s3787" xml:space="preserve">Felice, ſe <lb/>l’azione foſse la potenza applicata a quello ſpazio, <lb/>che il corpo ſcorre; </s>
  <s xml:id="echoid-s3788" xml:space="preserve">ma il Padre Riccati non vuol <lb/>così. </s>
  <s xml:id="echoid-s3789" xml:space="preserve">Vuole, che ſia la potenza applicata ſempre
<pb o="266" file="0290" n="290" rhead="DELLA FORZA DE’CORPI"/>
allo ſpazio A<emph style="it">p</emph>, che egli chiama ſpazio di accoſta-<lb/>mento, o lo ſcorra il corpo, o non lo ſcorra. </s>
  <s xml:id="echoid-s3790" xml:space="preserve">E <lb/>quindi è, dice egli, che per qualunque via giunga <lb/>il corpo da A in <emph style="it">r</emph>, l’ azione è pur ſempre la ſteſsa, <lb/>nulla variandoſi ne la potenza, ne lo ſpazio dell’ <lb/>accoſtamento. </s>
  <s xml:id="echoid-s3791" xml:space="preserve">Ne la potenza, diſse allora il Signor <lb/>Marcheſe, ſi varierebbe punto, ne lo ſpazio dell’ <lb/>accoſtamento, quand’ anche il corpo ſcendeſse,<unsure/> <lb/>da A in <emph style="it">r</emph> per due linee, che faceſser tra loro al-<lb/>cun’ angolo; </s>
  <s xml:id="echoid-s3792" xml:space="preserve">e pure io non ſo, ſe allora poteſse <lb/>l’ azione eſsere quella ſteſsa; </s>
  <s xml:id="echoid-s3793" xml:space="preserve">certo che il corpo ac-<lb/>quiſterebbe un’ altra velocità, e un’ altra forza, <lb/>come facilmente può intenderſi, conſiderandolo <lb/>come un corpo grave, che cada. </s>
  <s xml:id="echoid-s3794" xml:space="preserve">Et anche, ſe ho <lb/>da dirvi il vero, poco mi piace, che a formare la ve-<lb/>ra idea dell’ azione, debba applicarſi la potenza non <lb/>già a quello ſpazio, che il corpo ſcorre, ma ad un’ <lb/>altro, che egli non ſcorre. </s>
  <s xml:id="echoid-s3795" xml:space="preserve">Io non poſso diſſimulare, <lb/>diſse quivi il Sig. </s>
  <s xml:id="echoid-s3796" xml:space="preserve">Conte della Cueva, che in queſto <lb/>luo go il Padre Riccati anche a me poco piace. </s>
  <s xml:id="echoid-s3797" xml:space="preserve">Ne <lb/>anche mi piace il dire, che l’ azione ſia la potenza <lb/>applicata ad uno ſpazio, qualunque e’ ſiaſi; </s>
  <s xml:id="echoid-s3798" xml:space="preserve">per-<lb/>ciocchè a qualunque ſpazio ſi applichi, parmi che <lb/>ſarà ſempre potenza, non mai azione; </s>
  <s xml:id="echoid-s3799" xml:space="preserve">eſſendo la <lb/>potenza e l’ azione due quantità di diverſa natura, <lb/>ne potendo l’ una per applicazione, che ſe ne fac-<lb/>cia, paſſar nella natura dell’ altra: </s>
  <s xml:id="echoid-s3800" xml:space="preserve">e veggiamo, che <lb/>il tempo, comunque ſi applichi, non può mai di-<lb/>venire uno ſpazio; </s>
  <s xml:id="echoid-s3801" xml:space="preserve">ne uno ſpazio, comunque ſi ap-<lb/>plichi, può mai divenire una forza; </s>
  <s xml:id="echoid-s3802" xml:space="preserve">e lo ſteſſo dir
<pb o="267" file="0291" n="291" rhead="LIBRO III."/>
poſſiamo di tutte le categorie, avendo ognuna la <lb/>natura ſua propria, che non può cangiarſi in quel-<lb/>la dell’ altre. </s>
  <s xml:id="echoid-s3803" xml:space="preserve">10 non aſpettava, diſſe quivi il Signor <lb/>D. </s>
  <s xml:id="echoid-s3804" xml:space="preserve">Felice ridendo, chevoi, Sig. </s>
  <s xml:id="echoid-s3805" xml:space="preserve">Conte, mi ajutaſte per <lb/>cotal modo; </s>
  <s xml:id="echoid-s3806" xml:space="preserve">ne a queſto fine vi volli io aver com-<lb/>pagno nel riferire la dimoſtrazione del Padre Ric-<lb/>cati. </s>
  <s xml:id="echoid-s3807" xml:space="preserve">Se voi non volete far’ altro, che riferirla, ri-<lb/>ſpoſe il Signor Conte, io ſono anche in tempo di <lb/>accompagnarvi; </s>
  <s xml:id="echoid-s3808" xml:space="preserve">ma a voi non fa meſtieri di com-<lb/>pagno. </s>
  <s xml:id="echoid-s3809" xml:space="preserve">10 non ſo, diſſe il Signor D. </s>
  <s xml:id="echoid-s3810" xml:space="preserve">Felice, di che <lb/>mi faccia meſtieri; </s>
  <s xml:id="echoid-s3811" xml:space="preserve">tante e così varie ſono le diffi-<lb/>coltà e le dimande, che queſti Signori mi fanno. <lb/></s>
  <s xml:id="echoid-s3812" xml:space="preserve">Sebbene che che ſi dicano, a me par pure, che poſ-<lb/>ſa e debba concederſi al Padre Riccati, che l’azion <lb/>della corda ſia ſempre la ſteſſa, o tiri il globo da. </s>
  <s xml:id="echoid-s3813" xml:space="preserve"><lb/>A in <emph style="it">p</emph>, o lo tiri da A in <emph style="it">r</emph>, producendoſi nell’uno <lb/>e nell’ altro caſo lo ſteſſo effetto, cioèla ſteſſa ve-<lb/>locità nel globo, e la ſteſſa forza. </s>
  <s xml:id="echoid-s3814" xml:space="preserve">Se così è, diſſi <lb/>io allora, l’ azion dunqne non è la ſteſſa, perchè <lb/>l’accorciarſi ſia lo ſteſſo; </s>
  <s xml:id="echoid-s3815" xml:space="preserve">è più toſto la ſteſſa, per-<lb/>chè produce nel globo la ſteſſa velocità, ovvero la <lb/>ſteſſa forza; </s>
  <s xml:id="echoid-s3816" xml:space="preserve">donde ſi vede chiaramente che l’ azion <lb/>della fune, più toſto che accorciarſi, è produrre nel <lb/>globo una qualche velocità, o una qualche forza; </s>
  <s xml:id="echoid-s3817" xml:space="preserve"><lb/>benchè nel produrla ſegua accorciamento. </s>
  <s xml:id="echoid-s3818" xml:space="preserve">Sia co-<lb/>me vi piace, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s3819" xml:space="preserve">Felice, biſo-<lb/>gna pure ad ogni modo, che concediate, l’ azion <lb/>della corda, qual che la ragione ne ſia, rimaner <lb/>ſempre la ſteſſa, o traggaſi il globo da A in <emph style="it">p</emph>, o <lb/>traggaſi da A in <emph style="it">r</emph>. </s>
  <s xml:id="echoid-s3820" xml:space="preserve">Di queſto ancora io dubito mol-
<pb o="268" file="0292" n="292" rhead="DELLA FORZA DE’ CORPI"/>
to, riſpoſi; </s>
  <s xml:id="echoid-s3821" xml:space="preserve">e potrei dirvi la ragion del mio dubio, <lb/>ſe non temeſſi di dover’ eſſer troppo lungo; </s>
  <s xml:id="echoid-s3822" xml:space="preserve">il per-<lb/>chè meglio fia, che voi vi prendiate per conce-<lb/>duto quello, di che io tuttavia dubito, cioè, <lb/>che l’ azione in quei due caſi ſia ſempre la ſteſſa, <lb/>e paſſiate finalmente alla dimoſtrazione, che tanto <lb/>deſideriamo. </s>
  <s xml:id="echoid-s3823" xml:space="preserve">10 non potrei paſſarvi, diſſe il Signor <lb/>D. </s>
  <s xml:id="echoid-s3824" xml:space="preserve">Felice, con animo aſſai quieto, rimanendo in <lb/>voi un tal dubio. </s>
  <s xml:id="echoid-s3825" xml:space="preserve">Forſe avreſte l’ animo men quie-<lb/>to, riſpoſi, ſe io ve ne eſponeſſi la ragione; </s>
  <s xml:id="echoid-s3826" xml:space="preserve">però <lb/>credo eſser meglio, che voi entriate ſubito e fran-<lb/>camente nella dimoſtrazione, laſciando a me tut-<lb/>ta l’ inquietudine del dubitare. </s>
  <s xml:id="echoid-s3827" xml:space="preserve">Allora il Signor <lb/>D. </s>
  <s xml:id="echoid-s3828" xml:space="preserve">Serao a me rivolto, voi, diſse, vorreſte fuggir <lb/>fatica; </s>
  <s xml:id="echoid-s3829" xml:space="preserve">ma la Signora Principeſsa non vi permet-<lb/>terà di tacervi, e tenerci naſcoſta la ragione del <lb/>voſtro dubio; </s>
  <s xml:id="echoid-s3830" xml:space="preserve">che come al Signor D. </s>
  <s xml:id="echoid-s3831" xml:space="preserve">Felice diede <lb/>carico di dichiararci la dimoſtrazione del Padre <lb/>Riccati, così a voi diede quello di giudicarne; </s>
  <s xml:id="echoid-s3832" xml:space="preserve">e ſe <lb/>fia d’ uopo, noi la pregheremo tutti, che il vi im-<lb/>ponga di nuovo. </s>
  <s xml:id="echoid-s3833" xml:space="preserve">Allora la Signora Principeſsa ri-<lb/>dendo, io non ſon ſolita, diſse, comandare la ſteſſa <lb/>coſa due volte; </s>
  <s xml:id="echoid-s3834" xml:space="preserve">ma ſe pur convenga di farlo, impon-<lb/>go ſempre la ſeconda volta un caſtigo a chi non <lb/>ha obedito abbaſtanza alla prima. </s>
  <s xml:id="echoid-s3835" xml:space="preserve">Voi volete, diſ-<lb/>ſi io allora, ſtringermi a tutti i modi; </s>
  <s xml:id="echoid-s3836" xml:space="preserve">e la colpa <lb/>ſarà pur voſtra, ſe diſtendendoſi ſoverchiamente <lb/>queſto noſtro ragionamento, l’ora del ripoſare vi ſi <lb/>farà tarda; </s>
  <s xml:id="echoid-s3837" xml:space="preserve">perchè già parmi, che il chiaror della luna, <lb/>che percuote là nell’onde del mare, cominci a venir
<pb o="269" file="0293" n="293" rhead="LIBRO III."/>
meno, ſentendo forſe il nuovo di, che s’ avvicina. <lb/></s>
  <s xml:id="echoid-s3838" xml:space="preserve">Non, diſſe la Signora Principeſsa; </s>
  <s xml:id="echoid-s3839" xml:space="preserve">che le barche ſo-<lb/>lite muoverſi et uſcire incontro all’ alba, non an-<lb/>cor fanno romore, ne ancor s’ ode il canto ma-<lb/>rinareſco dei peſcatori. </s>
  <s xml:id="echoid-s3840" xml:space="preserve">Avendo così detto la <lb/>Signora Principeſsa, io ſtetti alquanto come <lb/>penſoſo, poſcia incominciai. </s>
  <s xml:id="echoid-s3841" xml:space="preserve">Voi dovrete perdo-<lb/>narmi, ſe eſponendovi quello, che pur ora m’ è <lb/>nato nell’ animo, vi parrò oſcuro, e poco ordina-<lb/>to; </s>
  <s xml:id="echoid-s3842" xml:space="preserve">e ſe dirò forſe alcune coſe, che non ſaran ne-<lb/>ceſſarie, per timore di non tralaſciar quelle, che <lb/>ſono. </s>
  <s xml:id="echoid-s3843" xml:space="preserve">10 dico dunque, che una potenza, qualora <lb/>nell’ agir ſuo incontra obliquamente alcun’ oſta-<lb/>colo, accreſce generalmente la ſua azione, e fa, <lb/>per così dir, prova di ſe medeſima; </s>
  <s xml:id="echoid-s3844" xml:space="preserve">perciocchè co <lb/>mincia toſto a premere ed urtare e ſpinger l’ oſta-<lb/>colo, quanto può, per rimoverlo; </s>
  <s xml:id="echoid-s3845" xml:space="preserve">ne laſcia tut-<lb/>tavia di premere e sforzarſi verſo altra parte; </s>
  <s xml:id="echoid-s3846" xml:space="preserve">le <lb/>quali due azioni preſe inſieme ſono ſempre mag-<lb/>giori di quella prima, che ella facea. </s>
  <s xml:id="echoid-s3847" xml:space="preserve">Il che ſi ve-<lb/>de chiara<unsure/>mente nella riſoluzione di qualſiſia movi-<lb/>mento. </s>
  <s xml:id="echoid-s3848" xml:space="preserve">Ma ſenza cercarne altronde l’ eſempio, egli <lb/>è coſa notiſſima, e da tutti conceduta, e dal Padre <lb/>Riccati ſteſso non negata, che ſe traendoſi il glo-<lb/>bo A dalla corda SA verſo S, incontri l’ oſtacolo <lb/>del piano AD, egli non ſolamente comincierà a <lb/>ſcorrere per lo piano verſo D, ma inſieme comin-<lb/>cierà a premere il piano ſteſso, e ſpingerlo con <lb/>molta forza; </s>
  <s xml:id="echoid-s3849" xml:space="preserve">così che conducendoſi dal centro del <lb/>globo le due linee A<emph style="it">t</emph>, A<emph style="it">u</emph>, quella perpendicolare
<pb o="270" file="0294" n="294" rhead="DELLA FORZA DE’ CORPI"/>
al piano, queſta paralella, non laſcierà mai il glo-<lb/>bo di premere il piano con la direzione A<emph style="it">t</emph>, e di <lb/>ſcorrervi ſopra con la direzione A<emph style="it">u</emph>. </s>
  <s xml:id="echoid-s3850" xml:space="preserve">Che ſe noi <lb/>vogliamo, @he l’ azione, per cui la corda, non <lb/>eſsendovi il piano, tirerebbe il globo da A in <emph style="it">p</emph>, <lb/>ſia eguale a quella azione, per cui, poſto il piano, <lb/>lo tira da A in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s3851" xml:space="preserve">egli ſi par manifeſto, che ſe a <lb/>queſta azione aggiungeremo l’ altra, per cui pre-<lb/>me il piano ſteſso e l’ urta, dovranno le due azio-<lb/>ni preſe inſieme eſser maggiori di quella prima. </s>
  <s xml:id="echoid-s3852" xml:space="preserve">E <lb/>poichè partono tutte e due dalla virtu della cor-<lb/>da, e ſono azioni della corda ſteſsa tutte e due, bi-<lb/>ſogna ben dire, che più agiſca la corda e faccia <lb/>maggiore azione, venendo il globo da A in <emph style="it">r</emph>, che <lb/>non farebbe venendo da A in <emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3853" xml:space="preserve">Qui moſtrò il Si-<lb/>gnor D. </s>
  <s xml:id="echoid-s3854" xml:space="preserve">Felice di non poter quaſi tenerſi, e già <lb/>volea riſpondere; </s>
  <s xml:id="echoid-s3855" xml:space="preserve">ma il Signor Marcheſe di Cam-<lb/>po Hermoſo, non accorgendoſene, gliele impedì <lb/>dicendo: </s>
  <s xml:id="echoid-s3856" xml:space="preserve">10 non veggo, perchè voi così facilmen-<lb/>te concediate, che l’ azione, che trae il globo da <lb/>A in <emph style="it">r</emph>, ſia da ſe ſola eguale a quella, che lo trar-<lb/>rebbe da A in <emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3857" xml:space="preserve">Perciocchè non è egli vero, che <lb/>la potenza della corda traente il globo da A verſo <lb/><emph style="it">p</emph>, viene per cagion del piano a riſolverſi in due, <lb/>l’ una delle quali preme il piano ſteſso, e l’ altra <lb/>tira il globo verſo <emph style="it">r</emph>? </s>
  <s xml:id="echoid-s3858" xml:space="preserve">E non è egli anche vero, che <lb/>qualſiſia di queſte due potenze è minore di quella <lb/>prima? </s>
  <s xml:id="echoid-s3859" xml:space="preserve">Altro è potenza, riſpoſi io, altro è azio-<lb/>ne. </s>
  <s xml:id="echoid-s3860" xml:space="preserve">E ſe voi volete, che la potenza della corda, che <lb/>porterebbe il globo da A fino in <emph style="it">p</emph>, ſi riſolva in due
<pb o="271" file="0295" n="295" rhead="LIBRO III."/>
potenze, I’ una delle quali lo porti da A in <emph style="it">r</emph>, ſa-<lb/>rà queſta certamente minore di quella; </s>
  <s xml:id="echoid-s3861" xml:space="preserve">di modo <lb/>che ogni impulſo iſtantaneo di eſsa ſarà più debo-<lb/>le di qualſiſia impulſo iſtantaneo dell’ altra. </s>
  <s xml:id="echoid-s3862" xml:space="preserve">Ma <lb/>come quella potenza, che porta il globo da A in <lb/><emph style="it">r</emph>, vi mette più tempo, el’ altra, che lo portereb-<lb/>be da A in <emph style="it">p</emph>, ve ne metterebbe meno; </s>
  <s xml:id="echoid-s3863" xml:space="preserve">così quella <lb/>ripete i ſuoi impulſi più volte, che queſta; </s>
  <s xml:id="echoid-s3864" xml:space="preserve">per mo-<lb/>do che compenſandoſi col numero la debolezza, <lb/>gl’ impulſi dell’ una potenza faranno in ultimo l’ <lb/>iſteſſa ſomma, che gl’ impulſi dell’ altra; </s>
  <s xml:id="echoid-s3865" xml:space="preserve">e queſta <lb/>ſomma è l’ azione. </s>
  <s xml:id="echoid-s3866" xml:space="preserve">E tutto ciò voi potrete facil-<lb/>mente conoſcere nella diſceſa di un grave per un <lb/>piano inclinato, che niente è diverſa dal diſcorri-<lb/>mento del globo da A fino in <emph style="it">r</emph>, s’ egli è pur vero, <lb/>ch’ egli oſſervi in quel corſo le leggi della gravità. <lb/></s>
  <s xml:id="echoid-s3867" xml:space="preserve">E’ dunque vero, che l’ azione, che porterebbe il <lb/>globo da A fino in <emph style="it">p</emph>, trovaſi eguale a quella, che <lb/>il porta da A fino in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s3868" xml:space="preserve">e però ſe a queſta aggiun-<lb/>geremo l’ altra, per cu<unsure/>i premeſi il piano ſecondo <lb/>la direzione A<emph style="it">t</emph>, ſaranno le due azioni preſe inſie-<lb/>me maggiori della prima; </s>
  <s xml:id="echoid-s3869" xml:space="preserve">e ſe voi vorrete attri-<lb/>buirle, non già a due potenze nuove, che naſca-<lb/>no dalla potenza della corda, ma piuttoſto, come <lb/>parmi che voglia il Padre Riccati, alla corda ſteſ-<lb/>ſa, egli vi converrà dire, che pr<unsure/>ù agiſca la corda, <lb/>quando trae il globo da A in <emph style="it">r</emph>, che ſe il traeſſe <lb/>da A in <emph style="it">p</emph>. </s>
  <s xml:id="echoid-s3870" xml:space="preserve">Parve, che il Signor Marcheſe alle mie <lb/>parole s’ acquietaſſe. </s>
  <s xml:id="echoid-s3871" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s3872" xml:space="preserve">Felice, et <lb/>io, diſſe, ſeguendo il Padre Riccati, vi nego, che
<pb o="272" file="0296" n="296" rhead="DELLA FORZA DE’ CORPI"/>
la corda, mentre trae il globo da A in <emph style="it">r</emph>, faccia <lb/>due azioni, come voi dite. </s>
  <s xml:id="echoid-s3873" xml:space="preserve">Come? </s>
  <s xml:id="echoid-s3874" xml:space="preserve">diſſe il Signor <lb/>Marcheſe; </s>
  <s xml:id="echoid-s3875" xml:space="preserve">la corda non tira ella il globo da A in <lb/><emph style="it">r</emph>? </s>
  <s xml:id="echoid-s3876" xml:space="preserve">e tirandolo, non urta e ſpinge il piano? </s>
  <s xml:id="echoid-s3877" xml:space="preserve">e non <lb/>ſon due azioni queſte, così che l’ una debba accre-<lb/>ſcerſi per l’ aggiunta dell’ altra? </s>
  <s xml:id="echoid-s3878" xml:space="preserve">Nò, Signore, <lb/>riſpoſe il Signor D. </s>
  <s xml:id="echoid-s3879" xml:space="preserve">Felice, perchè il premere non <lb/>è azione; </s>
  <s xml:id="echoid-s3880" xml:space="preserve">e quando ben foſſe azione, ſarebbe un’ <lb/>azione infinitamente piccola, e dovrebbe averſi per <lb/>nulla. </s>
  <s xml:id="echoid-s3881" xml:space="preserve">Parmi, Signor D. </s>
  <s xml:id="echoid-s3882" xml:space="preserve">Felice, riſpoſi io allora, <lb/>che ſe voi vorrete provar queſte due coſe, vi biſo-<lb/>gnerà ſottilizzar non poco. </s>
  <s xml:id="echoid-s3883" xml:space="preserve">Et egli ridendo, non po-<lb/>trò mai, diſſe, farlo, quanto voi. </s>
  <s xml:id="echoid-s3884" xml:space="preserve">Ma delle due. <lb/></s>
  <s xml:id="echoid-s3885" xml:space="preserve">coſe da me propoſte, e che il Padre Riccati ſoſtie-<lb/>ne, qual è, che voi mi negate? </s>
  <s xml:id="echoid-s3886" xml:space="preserve">Io, diſſi, le nego <lb/>tutte e due. </s>
  <s xml:id="echoid-s3887" xml:space="preserve">Or bene, diſſe il Signor D. </s>
  <s xml:id="echoid-s3888" xml:space="preserve">Felice, io <lb/>mi sforzerò in primo luogo di provarvi la prima, <lb/>cioè, che il premere non ſia agire; </s>
  <s xml:id="echoid-s3889" xml:space="preserve">ſebbene io cre-<lb/>do, che voi la neghiate, non perchè l’ abbiate per <lb/>falſa, ma per far prova o del voſtro ingegno, o <lb/>del mio. </s>
  <s xml:id="echoid-s3890" xml:space="preserve">Del voſtro, riſpoſi, ſarebbe una prova. </s>
  <s xml:id="echoid-s3891" xml:space="preserve"><lb/>troppo piccola, del mio troppo grande; </s>
  <s xml:id="echoid-s3892" xml:space="preserve">ma che. </s>
  <s xml:id="echoid-s3893" xml:space="preserve"><lb/>che ſia di ciò, provatemi dunque, che il premere <lb/>non ſia agire; </s>
  <s xml:id="echoid-s3894" xml:space="preserve">vedremo poi, ſe, eſſendo agire, ſia <lb/>agire infinitamente poco. </s>
  <s xml:id="echoid-s3895" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s3896" xml:space="preserve">Feli-<lb/>ce incominciò: </s>
  <s xml:id="echoid-s3897" xml:space="preserve">Primieramente che il premere non <lb/>ſia agire, e che la preſſione non ſia azione, può <lb/>provarſi per queſto, che niuna azione può eſſere, <lb/>dove non ſia effetto niuno; </s>
  <s xml:id="echoid-s3898" xml:space="preserve">la qual propoſizione, <lb/>ſiccome veriſſima, e per ſe ſteſſa manifeſtiſſima, ſi
<pb o="273" file="0297" n="297" rhead="LIBRO III."/>
aſſume dal Padre Riccati, ne mi ricordo ben, do-<lb/>ve. </s>
  <s xml:id="echoid-s3899" xml:space="preserve">Qui il Signor Conte della Cueva, parmi, diſ-<lb/>ſe, che l’ affermi in più luoghi, ma lo ſuppon cer-<lb/>tamente nella pagina 234. </s>
  <s xml:id="echoid-s3900" xml:space="preserve">E il Signor D. </s>
  <s xml:id="echoid-s3901" xml:space="preserve">Felice. <lb/></s>
  <s xml:id="echoid-s3902" xml:space="preserve">ſeguitò a dire: </s>
  <s xml:id="echoid-s3903" xml:space="preserve">che s’ egli è vero, niuna azione eſ-<lb/>ſere ſenza effetto, voi ben vedete, che la preſſione, <lb/>non avendo per ſe ſola effetto niuno, per ſe ſola. </s>
  <s xml:id="echoid-s3904" xml:space="preserve"><lb/>non può eſſere azione. </s>
  <s xml:id="echoid-s3905" xml:space="preserve">Di fatti mettete un corpo <lb/>ſopra una tavola, così che vi ſtia fermo et immobi-<lb/>le; </s>
  <s xml:id="echoid-s3906" xml:space="preserve">che effetto vi farà egli? </s>
  <s xml:id="echoid-s3907" xml:space="preserve">niuno; </s>
  <s xml:id="echoid-s3908" xml:space="preserve">e pure premerà <lb/>la tavola; </s>
  <s xml:id="echoid-s3909" xml:space="preserve">dunque il premere non è agire. </s>
  <s xml:id="echoid-s3910" xml:space="preserve">Voi vi <lb/>ſpedite, diſſi io allora, con molta preſtezza, volendo <lb/>forſe con ciò far credere, che la coſa ſia faciliſſima. </s>
  <s xml:id="echoid-s3911" xml:space="preserve"><lb/>A me però non par così; </s>
  <s xml:id="echoid-s3912" xml:space="preserve">e una coſa ſola dimando: </s>
  <s xml:id="echoid-s3913" xml:space="preserve"><lb/>chi ſottraeſſe improvviſamente la tavola; </s>
  <s xml:id="echoid-s3914" xml:space="preserve">il corpo ſo-<lb/>vrappoſto non cadrebbe egli incontanente? </s>
  <s xml:id="echoid-s3915" xml:space="preserve">Sì, ca-<lb/>drebbe; </s>
  <s xml:id="echoid-s3916" xml:space="preserve">riſpoſe il Signor D. </s>
  <s xml:id="echoid-s3917" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s3918" xml:space="preserve">et io allora: </s>
  <s xml:id="echoid-s3919" xml:space="preserve">di <lb/>quale azione ſarebbe effetto quella caduta? </s>
  <s xml:id="echoid-s3920" xml:space="preserve">ed egli, <lb/>della preſſione, riſpoſe, che la gravità eſercita nel <lb/>corpo. </s>
  <s xml:id="echoid-s3921" xml:space="preserve">Oh! che mi dite voi dunque, riſpoſi io, che <lb/>la preſſione non è azione? </s>
  <s xml:id="echoid-s3922" xml:space="preserve">Non è azione, diſs’ egli, <lb/>fin che niun movimento ne ſegue; </s>
  <s xml:id="echoid-s3923" xml:space="preserve">ma ſeguendone <lb/>alcuno, comincia ſubito ad eſſere azione. </s>
  <s xml:id="echoid-s3924" xml:space="preserve">Che va-<lb/>le a dire, ripigliai io, la preſſione, che la gravità <lb/>eſercita nel corpo, comincia ad eſſere azione ſubi-<lb/>to, che ſi ſottrae la tavola; </s>
  <s xml:id="echoid-s3925" xml:space="preserve">prima non era azione. </s>
  <s xml:id="echoid-s3926" xml:space="preserve"><lb/>lo vorrei però ſapere, che differenza abbia tra la. </s>
  <s xml:id="echoid-s3927" xml:space="preserve"><lb/>preſſione, che la gravità eſercitava prima, che la ta-<lb/>vola ſi ſottraeſſe, e quella, che dopoi eſercita, eſ-<lb/>ſendo la tavola ſottratta; </s>
  <s xml:id="echoid-s3928" xml:space="preserve">perchè quanto a me, par-
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mi, che la preſſione ſia ſempre la medeſima, ſenon <lb/>che prima di ſottrar la tavola non ne ſeguiva il mo-<lb/>vimento, perchè era impedito; </s>
  <s xml:id="echoid-s3929" xml:space="preserve">ſottratta la tavola, <lb/>ſegue; </s>
  <s xml:id="echoid-s3930" xml:space="preserve">così che tutta la differenza è poſta nell’ effet-<lb/>to, che ora ſegue, ora non ſegue, non nell’ azione. <lb/></s>
  <s xml:id="echoid-s3931" xml:space="preserve">Voi dite bene, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s3932" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s3933" xml:space="preserve">ma chi <lb/>vieterà ad un filoſoſo di chiamare azione quella. </s>
  <s xml:id="echoid-s3934" xml:space="preserve"><lb/>preſſione, cui ſegua il movimento, e non chiama-<lb/>re azione quella, cui non ſegua? </s>
  <s xml:id="echoid-s3935" xml:space="preserve">quantunque l’ u-<lb/>na e l’ altra preſſione ſieno, quanto a loro, dello <lb/>ſteſſo genere. </s>
  <s xml:id="echoid-s3936" xml:space="preserve">Io, diſſi, nol vieto io già; </s>
  <s xml:id="echoid-s3937" xml:space="preserve">ma vede-<lb/>te, ſe non lo vieti il Padre Riccati; </s>
  <s xml:id="echoid-s3938" xml:space="preserve">perciocchè ſe <lb/>egli vuol dimoſtrare, che l’ azione, che tira il glo-<lb/>bo da A fino in <emph style="it">r</emph>, di niente ſi accreſca, aggiun-<lb/>gendoleſi la preſſione, che lo ſteſſo globo eſercita <lb/>contro il piano AD; </s>
  <s xml:id="echoid-s3939" xml:space="preserve">non ſo, ſe a lui baſterà di di-<lb/>re, che queſta preſſione non ha nome azione; </s>
  <s xml:id="echoid-s3940" xml:space="preserve">per-<lb/>ciocchè, qualunque ſia il nome, s’ ella è dello ſteſ-<lb/>ſo genere, che quelìa, che chiamaſi azione, biſogna <lb/>bene, che l’ una ſi accreſca per l’ aggiunta dell’ al-<lb/>tra; </s>
  <s xml:id="echoid-s3941" xml:space="preserve">e chi argomentaſſe in contrario, ſi abuſereb-<lb/>be del nome. </s>
  <s xml:id="echoid-s3942" xml:space="preserve">Ne ſo, ſe il Padre Riccati, dando al <lb/>nome di azione quel ſignificato, che più a lui pia-<lb/>ce, incontrerà poi la grazia dei metafiſici, quan-<lb/>do vorrà dimoſtrare nella compoſizione del moto <lb/>l’ uguaglianza dell’ azione e dell’ effetto; </s>
  <s xml:id="echoid-s3943" xml:space="preserve">percioc-<lb/>chè i metafiſici non ſon già contenti, che in quel <lb/>loro principio ſi prenda il nome di azione in qua-<lb/>lunque ſenſo più piaccia, ma vogliono, che ſi pren-<lb/>da in quello, che piace a loro. </s>
  <s xml:id="echoid-s3944" xml:space="preserve">E chicontravviene,
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turba il lor principio, non lo difende. </s>
  <s xml:id="echoid-s3945" xml:space="preserve">Io non. <lb/></s>
  <s xml:id="echoid-s3946" xml:space="preserve">dico, riſpoſe qui il Signor D. </s>
  <s xml:id="echoid-s3947" xml:space="preserve">Felice, che il Padre <lb/>Riccati argomenti dal nome, e neghi, che la azio-<lb/>ne ſi accreſca per l’ aggiunta di una preſſione, per <lb/>ciò che la preſſione non ha nome azione; </s>
  <s xml:id="echoid-s3948" xml:space="preserve">che in. </s>
  <s xml:id="echoid-s3949" xml:space="preserve"><lb/>vero ſarebbe argomento troppo debole; </s>
  <s xml:id="echoid-s3950" xml:space="preserve">ma egli s’ <lb/>attiene principalmente ad’ un’ altra ragione aſſai <lb/>forte, la qual’ è, che la preſſione, con la quale il <lb/>globo ſpinge il piano, ſe è azione, è però azione <lb/>infinitamente piccola, e per ciò dee traſcurarſi, <lb/>così che aggiungendola a quell’ altra, che tira il <lb/>globo da A in <emph style="it">r</emph>, non debba farſi accreſcimento <lb/>niuno. </s>
  <s xml:id="echoid-s3951" xml:space="preserve">Udirò volentieri quello, che vogliate dire <lb/>contro una tal ragione. </s>
  <s xml:id="echoid-s3952" xml:space="preserve">Io dico già da ora, riſpo-<lb/>ſi, che poco mi piace coteſto traſcurare le quantità <lb/>infinitamente piccole, e averle per nulla. </s>
  <s xml:id="echoid-s3953" xml:space="preserve">Ma voi, <lb/>diſſe il Signor D. </s>
  <s xml:id="echoid-s3954" xml:space="preserve">Felice, vi avete poſto nell’ animo <lb/>di voler dire contro ogni coſa. </s>
  <s xml:id="echoid-s3955" xml:space="preserve">I geometri non le <lb/>traſcurano eſſi? </s>
  <s xml:id="echoid-s3956" xml:space="preserve">E ſe ciò ſi permette a i geometri, <lb/>quanto più dovrà permetterſi ai fiſici? </s>
  <s xml:id="echoid-s3957" xml:space="preserve">Et 10 pure, <lb/>riſpoſi, lo permetto agli uni et agli altri, ove ſi trat-<lb/>ti di ridur le coſe alle miſure comuni, nelle qua-<lb/>li perdonaſi facilmente al miſuratore una colpa in-<lb/>finitamente piccola; </s>
  <s xml:id="echoid-s3958" xml:space="preserve">ma ſe ſi trattaſſe di ridurle ai <lb/>principj, et alle leggi dei metafiſici, non ſo, ſe. </s>
  <s xml:id="echoid-s3959" xml:space="preserve"><lb/>queſtigliel permetteſſero; </s>
  <s xml:id="echoid-s3960" xml:space="preserve">perciocchè ſono ſeveriſ-<lb/>ſimi, e non perdonano nulla. </s>
  <s xml:id="echoid-s3961" xml:space="preserve">E ſe avranno, per e-<lb/>ſempio, ſtabilito, che l’ effetto non poſſa eſſer mag-<lb/>giore della cagione; </s>
  <s xml:id="echoid-s3962" xml:space="preserve">non vorranno già contentarſi, <lb/>che ſia maggiore per una differenza infinitamente
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piccola; </s>
  <s xml:id="echoid-s3963" xml:space="preserve">imperocehè quella differenza, percui l’ ef-<lb/>fetto eccedeſſe la ſua cagione, ſarebbe ſenza cagio-<lb/>ne; </s>
  <s xml:id="echoid-s3964" xml:space="preserve">e tanto è impoſſibile, che ſia ſenza cagione u-<lb/>na particella infinitamente piccola, quanto che. <lb/></s>
  <s xml:id="echoid-s3965" xml:space="preserve">ſia ſenza cagione il mondo tutto; </s>
  <s xml:id="echoid-s3966" xml:space="preserve">il qual po-<lb/>trebbe eſſere anch’ egli infinitamente piccolo, ſe ſi <lb/>paragonaſſe con un’ altro mondo infinitamente. </s>
  <s xml:id="echoid-s3967" xml:space="preserve"><lb/>più grande. </s>
  <s xml:id="echoid-s3968" xml:space="preserve">Se dunque il Padre Riccati cerca di <lb/>ſoſtenere una legge dei metafiſici, e acquiſtar gra-<lb/>zia appreſſo loro; </s>
  <s xml:id="echoid-s3969" xml:space="preserve">vegga di non commettere co’ſuoi <lb/>calcoli qualche peccato infiniteſimo, che eſſi non. </s>
  <s xml:id="echoid-s3970" xml:space="preserve"><lb/>gli perdoneranno. </s>
  <s xml:id="echoid-s3971" xml:space="preserve">Ma a ciò penſerà egli. </s>
  <s xml:id="echoid-s3972" xml:space="preserve">Io aſpet-<lb/>to intanto, che voi mi dimoſtriate, come l’ azio-<lb/>ne, con la quale il globo A preme il piano AD, ſia <lb/>azione infinitamente piccola. </s>
  <s xml:id="echoid-s3973" xml:space="preserve">Avendo io così det-<lb/>to, era già il Signor D. </s>
  <s xml:id="echoid-s3974" xml:space="preserve">Felice diſpoſto di ſoddis-<lb/>farmi; </s>
  <s xml:id="echoid-s3975" xml:space="preserve">ma il Signor Conte della Cueva, che volge-<lb/>va ancor nell’ animo le coſe poc’ anzi dette, lo in-<lb/>terruppe, et a me volto, non vorrei, diſſe, ritar-<lb/>dare l’ aſpettazion voſtra; </s>
  <s xml:id="echoid-s3976" xml:space="preserve">pure prima di udire la. </s>
  <s xml:id="echoid-s3977" xml:space="preserve"><lb/>dimoſtrazion, che aſpettate, vorrei, che udiſte una <lb/>difficoltà, che ora mi è nata ſopra quello, che di-<lb/>cevate poc’ anzi. </s>
  <s xml:id="echoid-s3978" xml:space="preserve">Siete contento, che io la vi dica? </s>
  <s xml:id="echoid-s3979" xml:space="preserve"><lb/>Contentiſſimo, riſpoſi; </s>
  <s xml:id="echoid-s3980" xml:space="preserve">poichè ritardandomi un. </s>
  <s xml:id="echoid-s3981" xml:space="preserve"><lb/>piacere, me ne fate un’ altro non minore; </s>
  <s xml:id="echoid-s3982" xml:space="preserve">ne però <lb/>mi togliete la ſperanza di quello, che mi ritardate. </s>
  <s xml:id="echoid-s3983" xml:space="preserve"><lb/>Dite dunque a piacer voſtro. </s>
  <s xml:id="echoid-s3984" xml:space="preserve">Allora il Sig. </s>
  <s xml:id="echoid-s3985" xml:space="preserve">Conte <lb/>così cominciò. </s>
  <s xml:id="echoid-s3986" xml:space="preserve">Voi dicevate, che la preſſione per <lb/>ſe ſola è azione; </s>
  <s xml:id="echoid-s3987" xml:space="preserve">e però quella potenza, che pre-<lb/>me, benchè non ne ſegua l’ effetto del movimen-
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to, tuttavia agiſce. </s>
  <s xml:id="echoid-s3988" xml:space="preserve">Io dunque dimando: </s>
  <s xml:id="echoid-s3989" xml:space="preserve">queſta. <lb/></s>
  <s xml:id="echoid-s3990" xml:space="preserve">cauſa, che agiſce ſenza che ne ſegua effetto niuno, <lb/>qual coſa agiſce? </s>
  <s xml:id="echoid-s3991" xml:space="preserve">certo ſe niuno effetto ne ſegue, <lb/>dovrà dirſi, che agiſce nulla. </s>
  <s xml:id="echoid-s3992" xml:space="preserve">Ora agir nulla, e. </s>
  <s xml:id="echoid-s3993" xml:space="preserve"><lb/>non agire, non ſon forſe quello ſteſſo? </s>
  <s xml:id="echoid-s3994" xml:space="preserve">non ſono <lb/>eglino la ſteſſa coſa illuminar nulla, e non illumi-<lb/>nare? </s>
  <s xml:id="echoid-s3995" xml:space="preserve">riſcaldar nulla, e non riſcaldare? </s>
  <s xml:id="echoid-s3996" xml:space="preserve">mover nul-<lb/>la, e non movere? </s>
  <s xml:id="echoid-s3997" xml:space="preserve">e perchè non ſarà egli anche lo <lb/>ſteſſo agir nulla, e non agire? </s>
  <s xml:id="echoid-s3998" xml:space="preserve">oltrechè quale azio-<lb/>ne è, che abbia per termine il nuila, e tenda al <lb/>nulla? </s>
  <s xml:id="echoid-s3999" xml:space="preserve">Niuna, riſpoſi; </s>
  <s xml:id="echoid-s4000" xml:space="preserve">perchè ogni azione ha per <lb/>termine una qualche forma, che non è, ma dee. </s>
  <s xml:id="echoid-s4001" xml:space="preserve"><lb/>cominciar ad eſſere per l’ azione ſteſſa, purchè il <lb/>ſoggetto ne ſia capace; </s>
  <s xml:id="echoid-s4002" xml:space="preserve">e a porre queſta forma ten-<lb/>de ſempre l’ azione; </s>
  <s xml:id="echoid-s4003" xml:space="preserve">e ſe tal volta non la pone, <lb/>ciò interviene per l’ incapacità del ſoggetto, non <lb/>perchè l’ azione non tenda ad eſsa, e non ſia ad eſ-<lb/>ſa naturalmente diretta. </s>
  <s xml:id="echoid-s4004" xml:space="preserve">Bene, diſse quivi il Signor <lb/>Conte; </s>
  <s xml:id="echoid-s4005" xml:space="preserve">ma quando la cauſa agendo non conſegue <lb/>l’ effetto; </s>
  <s xml:id="echoid-s4006" xml:space="preserve">qual coſa diremo noi, che ella agiſca? </s>
  <s xml:id="echoid-s4007" xml:space="preserve"><lb/>Et io ſoggiunſi: </s>
  <s xml:id="echoid-s4008" xml:space="preserve">voi dimandate, qual coſa agiſca. </s>
  <s xml:id="echoid-s4009" xml:space="preserve"><lb/>la cauſa, qualora agiſce; </s>
  <s xml:id="echoid-s4010" xml:space="preserve">perchè voi già ſuppone-<lb/>te, che ella non poſsa agire ſenza agir qualche. </s>
  <s xml:id="echoid-s4011" xml:space="preserve"><lb/>coſa, che vale a dire ſenza produr quell’ @ffetto, <lb/>per cui agiſce; </s>
  <s xml:id="echoid-s4012" xml:space="preserve">il che è ſuppor quello ſteſso, di che <lb/>è quiſtione; </s>
  <s xml:id="echoid-s4013" xml:space="preserve">ne v’ accorgete, che l’ azione non è <lb/>nell’ effetto, ma nella caufa, e però potrebbe eſ-<lb/>ſere, quand’ anche l’ effetto non foſse. </s>
  <s xml:id="echoid-s4014" xml:space="preserve">E certo ſe <lb/>non foſse al mondo alcun corpo, che poteſse eſ-<lb/>ſere o illuminato, o riſcaldato, il ſole non illumi-
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nerebbe, ne ſcalderebbe nulla; </s>
  <s xml:id="echoid-s4015" xml:space="preserve">ma però ſpanden-<lb/>do i ſuoi raggi non laſcierebbe di fare quella ſteſ-<lb/>fa azione, che fa, quando riſcalda i corpi, e gl’ <lb/>illumina; </s>
  <s xml:id="echoid-s4016" xml:space="preserve">e ſi direbbe, che egli non riſcalda, e non <lb/>illumina, perchè queſti vocaboli, riſcaldare e illu-<lb/>minare, ſignificano non l’ azion ſola, ma anche. <lb/></s>
  <s xml:id="echoid-s4017" xml:space="preserve">la poſizion dell’ effetto; </s>
  <s xml:id="echoid-s4018" xml:space="preserve">tolto il quale effetto quei <lb/>vocaboli non han luogo: </s>
  <s xml:id="echoid-s4019" xml:space="preserve">non c@sì la voce agire, <lb/>che ſignifica l’ azion ſola, e può aver luogo an-<lb/>che là, dove l’ effetto non ſia; </s>
  <s xml:id="echoid-s4020" xml:space="preserve">e certo non meno <lb/>agiſce chi ſpinge a tutto potere un muro, e non. </s>
  <s xml:id="echoid-s4021" xml:space="preserve"><lb/>lo ſcuote, che un’ altro, che preme una canna con <lb/>eguale sforzo, e la rompe. </s>
  <s xml:id="echoid-s4022" xml:space="preserve">Pur ſiamo ſoliti dire, <lb/>ripigliò quivi il Signor Conte, che l’ azione ſi mi-<lb/>ſura dall’ effetto; </s>
  <s xml:id="echoid-s4023" xml:space="preserve">e che l’ azione, che eſercita la. </s>
  <s xml:id="echoid-s4024" xml:space="preserve"><lb/>gravità in un corpo, il quale ſia ſoſtenuto e fermo, <lb/>è infinitamente piccola, e però nulla, riſpetto a. </s>
  <s xml:id="echoid-s4025" xml:space="preserve"><lb/>quella, che eſercita in un corpo, il quale attual-<lb/>mente cade. </s>
  <s xml:id="echoid-s4026" xml:space="preserve">Così diciamo, riſpoſi, perchè quando <lb/>il corpo ſta fermo, noi conſideriamo ſolo quell’ <lb/>impulſo iſtantaneo e preſente, che egli riceve dal-<lb/>la gravità; </s>
  <s xml:id="echoid-s4027" xml:space="preserve">degli altri infiniti, che ſon già paſſati, <lb/>e non hanno laſciato di ſe effetto niuno, non ab-<lb/>biamo conſiderazione, tenendogli per inutili. </s>
  <s xml:id="echoid-s4028" xml:space="preserve">Ma <lb/>nel corpo, che cade, conſiderar ſi vuole non ſol <lb/>l’ impulſo preſente, ma quegl’ infiniti ancora, che <lb/>egli ha ricevuti per tutto il tempo della caduta.</s>
  <s xml:id="echoid-s4029" xml:space="preserve">; <lb/>perchè ſebbene paſſarono, e più non ſono, pur <lb/>hanno laſciato nel corpo un movimento, del <lb/>quale ſe noi vogliamo intendere la cagione, bi-
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ſogna intendere tutti quegl’ infiniti impulſi, che <lb/>lo produſſero. </s>
  <s xml:id="echoid-s4030" xml:space="preserve">Se voi però ridurrete in una ſomma <lb/>tutti gl’ impulſi, che il corpo fermo riceve. <lb/></s>
  <s xml:id="echoid-s4031" xml:space="preserve">dalla ſua gravità in un minuto di tempo, <lb/>e ſimilmente tutti quelli, che riceve in tempo <lb/>eguale cadendo, voi troverete le due ſomme egua-<lb/>liſſime; </s>
  <s xml:id="echoid-s4032" xml:space="preserve">e l’ azione altro non è che la ſomma degl’ <lb/>impulſi; </s>
  <s xml:id="echoid-s4033" xml:space="preserve">il movimento è l’ effetto. </s>
  <s xml:id="echoid-s4034" xml:space="preserve">E ſebben l’ a-<lb/>zione, come voi dicevate, ſi miſura dall’ effetto, ciò <lb/>vuolſi intender per modo, che ſi miſuri non dall’ <lb/>effetto, che attualmente ſegue, ma da quello, che. </s>
  <s xml:id="echoid-s4035" xml:space="preserve"><lb/>ſeguirebbe, ſe non foſſe da altra cagione fraſtor-<lb/>nato. </s>
  <s xml:id="echoid-s4036" xml:space="preserve">Così l’ azione, che eſercita la gravità per <lb/>un minuto di tempo in un corpo, il quale ſia ſo-<lb/>ſtenuto e fermo, dee miſurarſi da quell’ effetto, che <lb/>ella produrrebbe, ſe il corpo non foſſe ſoſtenuto; </s>
  <s xml:id="echoid-s4037" xml:space="preserve"><lb/>perchè il dire, che l’ effetto ſuo in quel caſo è nul-<lb/>lo, e che ella però dee miſurarſi dal nullà, è lo <lb/>ſteſſo che aſſegnarle un’ effetto contrario alla na-<lb/>tura ſua, non potendo l’ azione tendere al nulla, <lb/>ne eſſere dal nulla in niun modo miſurata. </s>
  <s xml:id="echoid-s4038" xml:space="preserve">Ma io <lb/>non vorrei, che diſtendendoci noi troppo in que-<lb/>ſta diſputa, parer poteſſe al Signor D. </s>
  <s xml:id="echoid-s4039" xml:space="preserve">Felice, che <lb/>noi voleſſimo ſtudioſamente allontanarci dalla ſua <lb/>propoſta. </s>
  <s xml:id="echoid-s4040" xml:space="preserve">Voi, diſſe il Signor D. </s>
  <s xml:id="echoid-s4041" xml:space="preserve">Felice, vi ſiete <lb/>ad eſſa accoſtati più forſe, che non credete; </s>
  <s xml:id="echoid-s4042" xml:space="preserve">e cer-<lb/>to più, ch’ io non voleva; </s>
  <s xml:id="echoid-s4043" xml:space="preserve">perchè tali coſe avete <lb/>ultimamente dette, che appena laſciano luogo a. </s>
  <s xml:id="echoid-s4044" xml:space="preserve"><lb/>quello, che io era per dirvi. </s>
  <s xml:id="echoid-s4045" xml:space="preserve">Imperocchè la mia <lb/>propoſta, la quale è ancora del Padre Ric-
<pb o="280" file="0304" n="304" rhead="DELLA FORZA DE’ CORPI"/>
cati, era, che l’ azione, con la quale il globo <lb/>A preme il piano AD, ſia infinitamente piccola. <lb/></s>
  <s xml:id="echoid-s4046" xml:space="preserve">riſpetto a quella azione, per cui ſcorre da A in <emph style="it">r</emph>; </s>
  <s xml:id="echoid-s4047" xml:space="preserve"><lb/>e la ragione, che io doveva addurvi, ſi era, per-<lb/>chè queſta produce un movimento, e quella non. </s>
  <s xml:id="echoid-s4048" xml:space="preserve"><lb/>ne produce niuno; </s>
  <s xml:id="echoid-s4049" xml:space="preserve">parendo, che, ſe ſi miſurino <lb/>dal movimento prodotto, debba ſenza alcun du-<lb/>bio eſſere infinitamente piccola quella, che niun <lb/>ne produce. </s>
  <s xml:id="echoid-s4050" xml:space="preserve">Ma voi direte, che quella azione, con <lb/>la quale il globo preme il piano, dura tanto tem-<lb/>po, quanto l’ altra, per cui viene da A in <emph style="it">r</emph>, e im-<lb/>prime al globo egual numero di impulſi, e che ſi-<lb/>nalmente vuol miſurarſi non già da quel movimen-<lb/>to, che è nullo, e che non può, eſſendo nullo, eſ-<lb/>ſer prodotto, ma da quel movimento, che ella. </s>
  <s xml:id="echoid-s4051" xml:space="preserve"><lb/>produrrebbe, ſe il piano non foſſe. </s>
  <s xml:id="echoid-s4052" xml:space="preserve">Si certamente, <lb/>riſpoſi io allora, ch’ io direi tali coſe; </s>
  <s xml:id="echoid-s4053" xml:space="preserve">e dicendo-<lb/>le, apparirebbe chiaramente, che l’ azione, con. </s>
  <s xml:id="echoid-s4054" xml:space="preserve"><lb/>la quale il globo A preme il piano, continvandoſi <lb/>per tutto quel tempo, che egli viene da A in <emph style="it">r</emph>, ne <lb/>può dirſi infinitamente piccola, ne è; </s>
  <s xml:id="echoid-s4055" xml:space="preserve">e ſe il movi-<lb/>mento non ne ſegue, ciò è per l’ impedimento del <lb/>piano, non per la mancanza dell’ azione. </s>
  <s xml:id="echoid-s4056" xml:space="preserve">Ma la. </s>
  <s xml:id="echoid-s4057" xml:space="preserve"><lb/>notte chetamente ſen fugge, e già veggo la luna. </s>
  <s xml:id="echoid-s4058" xml:space="preserve"><lb/>di gran paſſo inchinarſi verſo il ponente; </s>
  <s xml:id="echoid-s4059" xml:space="preserve">ond’ io <lb/>comincio a temere, o<unsure/>he noi ci perdiamo troppo in <lb/>ſottilità metafiſiche. </s>
  <s xml:id="echoid-s4060" xml:space="preserve">E’ già buona pezza, diſſe il <lb/>Signor D. </s>
  <s xml:id="echoid-s4061" xml:space="preserve">Niccola, che io ne temo; </s>
  <s xml:id="echoid-s4062" xml:space="preserve">perchè, a dir-<lb/>vi il vero, coteſte voſtre ragioni tanto metafiſiche, <lb/>ſenza accompagnamento di eſperienze, eſpogliate
<pb o="281" file="0305" n="305" rhead="LIBRO III."/>
di ogni calcolo, come che a me piacciano, non piace-<lb/>ranno al mondo, e non ſaranno ricevute. </s>
  <s xml:id="echoid-s4063" xml:space="preserve">Io non <lb/>voglio già, diſſi, darle alle ſtampe: </s>
  <s xml:id="echoid-s4064" xml:space="preserve">quantunque. <lb/></s>
  <s xml:id="echoid-s4065" xml:space="preserve">piacendo a voi (s’ egli è pur vero, che a voi piac-<lb/>ciano, e nol dite per gentilezza) pare a me, che. </s>
  <s xml:id="echoid-s4066" xml:space="preserve"><lb/>dovrebbono piacer a tutti. </s>
  <s xml:id="echoid-s4067" xml:space="preserve">Voi giudicate, diſſe al-<lb/>lora il Signor D. </s>
  <s xml:id="echoid-s4068" xml:space="preserve">Niccola, troppo corteſemente di <lb/>me. </s>
  <s xml:id="echoid-s4069" xml:space="preserve">Ma in verità i matematici de noſtri dì, ſicco-<lb/>me voi ſapete, amano grandemente le propoſizio-<lb/>ni dei metafiſici, ma vogliono più toſto aſſumerle, <lb/>che diſputarne. </s>
  <s xml:id="echoid-s4070" xml:space="preserve">E come fanno, riſpoſi io, a ſaper, <lb/>che ſien vere, ſenza diſputarne? </s>
  <s xml:id="echoid-s4071" xml:space="preserve">Oh ſi veramente, <lb/>riſpoſe il Signor D. </s>
  <s xml:id="echoid-s4072" xml:space="preserve">Nicola, che lo ſaprebbono, di-<lb/>ſputandone. </s>
  <s xml:id="echoid-s4073" xml:space="preserve">Ma ſe dopo averne diſputato, riſpoſi <lb/>io, non poſſon ſapere, ſe quelle propoſizioni ſien <lb/>vere, molto meno il ſapranno, ſe non ne diſputa-<lb/>no; </s>
  <s xml:id="echoid-s4074" xml:space="preserve">perchè in ſomma il diſputare di una propo-<lb/>ſizione non è altro che cercare, ſe ſia vera, o non <lb/>vera. </s>
  <s xml:id="echoid-s4075" xml:space="preserve">Troppa briga, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s4076" xml:space="preserve">Ni-<lb/>cola, ſi darebbe ai matematici; </s>
  <s xml:id="echoid-s4077" xml:space="preserve">chi voleſſe, che ol-<lb/>tre l’ aſſumere le propoſizioni dei metafiſici anche <lb/>le eſaminaſſero. </s>
  <s xml:id="echoid-s4078" xml:space="preserve">Volendo io quì riſpondere, feceſi <lb/>innanzi la Signora Principeſſa, e diſſe: </s>
  <s xml:id="echoid-s4079" xml:space="preserve">voi per poco <lb/>entrereſte in un’ altra diſputa metafiſica; </s>
  <s xml:id="echoid-s4080" xml:space="preserve">ne laſcie-<lb/>reſte, tanto ſiete litigioſi, che il noſtro Signor D. </s>
  <s xml:id="echoid-s4081" xml:space="preserve"><lb/>Felice venir mai poteſſe a quella dimoſtrazione, che <lb/>tanto aſpettiamo. </s>
  <s xml:id="echoid-s4082" xml:space="preserve">Però mettete da parte le ſottigliez-<lb/>ze, e concedetegli una volta, che l’ azione della <lb/>corda, o tiri il globo da A in <emph style="it">r</emph>, o lo tiri da A in <emph style="it">p</emph>, <lb/>ſia ſempre la ſteſſa; </s>
  <s xml:id="echoid-s4083" xml:space="preserve">che è quello, che egli, ſe ben
<pb o="282" file="0306" n="306" rhead="DELLA FORZA DE’ CORPI"/>
m’ accorgo, maſſimamente diſidera : </s>
  <s xml:id="echoid-s4084" xml:space="preserve">e ſe a ſtabilir <lb/>ciò, vuolſi, che l’azion della corda ſia lo ſteſſo che <lb/>l’ accorciarſi; </s>
  <s xml:id="echoid-s4085" xml:space="preserve">e che ſi miſuri dallo ſpazio; </s>
  <s xml:id="echoid-s4086" xml:space="preserve">e che il <lb/>globo nel primo ſuo moverſi oſſervi le leggi della <lb/>gravità; </s>
  <s xml:id="echoid-s4087" xml:space="preserve">e che il premere non ſia agire; </s>
  <s xml:id="echoid-s4088" xml:space="preserve">e voi digra-<lb/>zia concedetegli ogni coſa, acciocchè poſſiamo ſi-<lb/>nalmente udire a qual fine giunga la dimoſtrazio-<lb/>ne. </s>
  <s xml:id="echoid-s4089" xml:space="preserve">Allora io rivolto al Signor D. </s>
  <s xml:id="echoid-s4090" xml:space="preserve">Felice, meno, <lb/>diſſi, non vi volea della Signora Principeſſa di Co-<lb/>lobrano, perchè tante coſe ad un tempo vi ſi con-<lb/>cedeſſero. </s>
  <s xml:id="echoid-s4091" xml:space="preserve">Ma ella può quanto vuole. </s>
  <s xml:id="echoid-s4092" xml:space="preserve">Voi dunque <lb/>venite alla dimoſtrazione. </s>
  <s xml:id="echoid-s4093" xml:space="preserve">Riſe un poco il Signor <lb/>D. </s>
  <s xml:id="echoid-s4094" xml:space="preserve">Felice, poi cominciò: </s>
  <s xml:id="echoid-s4095" xml:space="preserve">ſia un corpo A (volgete <lb/>
<anchor type="note" xlink:label="note-0306-01a" xlink:href="note-0306-01"/>
l’ occhio alla figura quinta ) ſtimolato da due po-<lb/>tenze ſecondo due direzioni AS, AC, che facciano <lb/>un’ angolo acuto ( potrei ſupporre l’angolo d altra <lb/>maniera; </s>
  <s xml:id="echoid-s4096" xml:space="preserve">ma io ſeguo la ſuppoſizione p@ù comoda ); <lb/></s>
  <s xml:id="echoid-s4097" xml:space="preserve">e ſieno le potenze tra loro come le due linee AB, <lb/>AC, le quali linee voglio, che ſi prendano nelle, <lb/>direzioni medeſime. </s>
  <s xml:id="echoid-s4098" xml:space="preserve">Egli è ſtabilito tra i meccanici, <lb/>che il corpo ſi incamminerà per AD, diagonale, <lb/>del parallelogrammo BC, e la ſcorrerà in quel tem. </s>
  <s xml:id="echoid-s4099" xml:space="preserve"><lb/>po medeſimo, in cui ſpinto dalla ſola potenza AB <lb/>avrebbe ſcorſo il lato AB, o ſpinto dalla ſola po-<lb/>tenza AC avrebbe ſcorſo il lato AC. </s>
  <s xml:id="echoid-s4100" xml:space="preserve">Dove ſubito <lb/>e chiaramente appariſce, che le tre velocità ſonotra <lb/>loro, come le tre linee AB, AC, AD; </s>
  <s xml:id="echoid-s4101" xml:space="preserve">e ſiccome <lb/>la linea AD è ſempre minore della ſomma dell’ al-<lb/>tre due, così ancora la velocità, con cuiella è ſcor-<lb/>ſa, è ſempre minore della ſomma dell’ altre due,
<pb o="283" file="0307" n="307" rhead="LIBRO III."/>
con cui ſeparatamente ſi ſcorrerebbono i lati AB, <lb/>AC. </s>
  <s xml:id="echoid-s4102" xml:space="preserve">Di che pare ad alcuni, che l’ uguaglianza tra <lb/>l’ effetto e la cauſa ſi levi, non ſenza pericolo, che <lb/>ſe ne ſdegnino i metafiſici, concioſiacoſache le po-<lb/>tenze eſercitandoſi ſeparatamente producano velo-<lb/>cità maggiore; </s>
  <s xml:id="echoid-s4103" xml:space="preserve">e poi ne producano una minore, <lb/>eſercitandoſi congiuntamente. </s>
  <s xml:id="echoid-s4104" xml:space="preserve">Ma quelli, che così <lb/>parlano, non pongon mente, che quando le poten-<lb/>ze ſi congiungono, ognuna di loro agiſce forſe <lb/>meno nel corpo di quel, che agirebbe, ſe foſſero <lb/>ſeparate; </s>
  <s xml:id="echoid-s4105" xml:space="preserve">il perchè non è da maravigliarſi, che pro-<lb/>ducano effetto minore; </s>
  <s xml:id="echoid-s4106" xml:space="preserve">e poca ragione avrebbono <lb/>i metafiſici di ſdegnarſene, eſſendo l’effetto, ſecon-<lb/>do eſſi, proporzionale non veramente alla potenza <lb/>ma all’ azione. </s>
  <s xml:id="echoid-s4107" xml:space="preserve">Sono poi alcuni, i quali immagi-<lb/>nano, che le due potenze, che ſpingono il corpo <lb/>per li due lati AB, AC, e che io chiamerò poten-<lb/>ze laterali, ne producano una terza, che lo ſpinga <lb/>per AD, che io chiamerò potenza diagonale; </s>
  <s xml:id="echoid-s4108" xml:space="preserve">e <lb/>queſti miſurando le potenze dalle velocità, che, <lb/>producono, ſono aſtretti di dire, che la potenza <lb/>diagonale ſia minore della ſomma delle due latera-<lb/>li, da cui vien prodotta; </s>
  <s xml:id="echoid-s4109" xml:space="preserve">onde pare anche a loro, <lb/>che tolgaſi l’ uguaglianza tra la cagione el’ effetto. <lb/></s>
  <s xml:id="echoid-s4110" xml:space="preserve">Ma il Padre Riccati molto ſottilmente gli ripren-<lb/>de, e con ragione; </s>
  <s xml:id="echoid-s4111" xml:space="preserve">perciocchè nega egli, che le, <lb/>potenze laterali poſſan produrre veruna potenza, <lb/>nuova; </s>
  <s xml:id="echoid-s4112" xml:space="preserve">e dice, che ſe il corpo ſcorre la diagonale <lb/>AD, ciò fa egli, non per l’ azione d’alcuna poten-<lb/>za nuova che allor ſi produca, ma per l’azione del-
<pb o="284" file="0308" n="308" rhead="DELLA FORZA DE’ CORPI"/>
le potenze laterali ſteſſe. </s>
  <s xml:id="echoid-s4113" xml:space="preserve">E certo le potenze non <lb/>pajono di lor natura ordinate a produrre altre po-<lb/>tenze. </s>
  <s xml:id="echoid-s4114" xml:space="preserve">E’ dunque la potenza diagonale, ſecondo lui, <lb/>non prodotta nel corpo, ma finta e immaginata. <lb/></s>
  <s xml:id="echoid-s4115" xml:space="preserve">nell’ animo dei matematici; </s>
  <s xml:id="echoid-s4116" xml:space="preserve">i quali non volendo <lb/>valerſi di due potenze, che ſono nella natura, amano <lb/>meglio di ricorrere ad’ una ſola, che eſſi ſi fingo. </s>
  <s xml:id="echoid-s4117" xml:space="preserve"><lb/>no; </s>
  <s xml:id="echoid-s4118" xml:space="preserve">la qual ſe foſſe, farebbe lo ſteſſo effetto, che <lb/>quelle due. </s>
  <s xml:id="echoid-s4119" xml:space="preserve">Quindiè, che a conſervar l’ uguaglian-<lb/>za tra l’ azione e l’ effetto, non altro fa d’uopo ſe <lb/>non dimoſtrare, che l’azione, che fanno le due po-<lb/>tenze laterali congiunte inſieme, ſia eguale a quella <lb/>azione, che farebbe la potenza diagonale da ſe <lb/>ſola, ſe vi foſſe. </s>
  <s xml:id="echoid-s4120" xml:space="preserve">E queſto ſi è quello, che il <lb/>Padre Riccati prende a dimoſtrare, e il fa di <lb/>maniera, che la dimoſtrazione ſteſſa lo con-<lb/>duce nell’ opinione della forza viva. </s>
  <s xml:id="echoid-s4121" xml:space="preserve">Come ciò <lb/>ſia, vi ſpiegherò brevemente, proponendovi prima <lb/>un teorema di geometria aſſai bello, e non men faci-<lb/>le, ſopra cui non dovrà naſcere niuna conteſa. </s>
  <s xml:id="echoid-s4122" xml:space="preserve">Ec-<lb/>covi il teorema. </s>
  <s xml:id="echoid-s4123" xml:space="preserve">Nella diagonale AD di un paralle-<lb/>logrammo BC ſi prenda un punto <emph style="it">r</emph>, e quindi ſi guidi-<lb/>n<unsure/>o le due rette <emph style="it">rp, rq</emph>, perpendicolari ai lati AB, AC. </s>
  <s xml:id="echoid-s4124" xml:space="preserve"><lb/>Dico, che il rettangolo di AB, et A<emph style="it">p</emph>, e il rettan-<lb/>golo di AC et A<emph style="it">q</emph>, preſi inſieme, ſono eguali al <lb/>rettangolo di AD et A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s4125" xml:space="preserve">Volete voi, che io il vi <lb/>dimoſtri? </s>
  <s xml:id="echoid-s4126" xml:space="preserve">Fermoſſi quì un poco il Signor D. </s>
  <s xml:id="echoid-s4127" xml:space="preserve">Felice. </s>
  <s xml:id="echoid-s4128" xml:space="preserve"><lb/>Allora la Signora Principeſſa, quelli, diſſe, che ne <lb/>deſiderano la dimoſtrazione, deſidereranno anche. </s>
  <s xml:id="echoid-s4129" xml:space="preserve"><lb/>di trovarſela da loro ſteſſi. </s>
  <s xml:id="echoid-s4130" xml:space="preserve">Quanto a me, io ſon per-
<pb o="285" file="0309" n="309" rhead="LIBRO III."/>
ſuaſa del teorema, e credo, che gli altri ancora lo <lb/>ſieno; </s>
  <s xml:id="echoid-s4131" xml:space="preserve">onde voi potete paſſare avanti. </s>
  <s xml:id="echoid-s4132" xml:space="preserve">Vengo dun-<lb/>que, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s4133" xml:space="preserve">Felice, all’ argomento del <lb/>Padre Riccati; </s>
  <s xml:id="echoid-s4134" xml:space="preserve">nel quale ſe io dicendo le coſe, <lb/>che mi parran neceſſarie, ne laſcierò alcune, che, <lb/>quantunque non neceſſarie, eſſendo però congiun-<lb/>te all’ argomento ſteſſo, potrebbe piacervi d’ in-<lb/>tendere, voi me le dimanderete, et io vedrò di ſod-<lb/>disfarvi; </s>
  <s xml:id="echoid-s4135" xml:space="preserve">quelli poi, che ſi opporranno all’ argo-<lb/>mento, e non vorranno averlo per vero, laſcierò, <lb/>che ſi ſoddisfacciano da loro ſteſſi. </s>
  <s xml:id="echoid-s4136" xml:space="preserve">10 dico dunque, <lb/>che le due potenze laterali poſſono ſempre conſide-<lb/>rarſi, come due corde elaſtiche, le quali tirino il <lb/>corpo; </s>
  <s xml:id="echoid-s4137" xml:space="preserve">perciocchè di qualunque maniera ſieno le <lb/>potenze, faranno ſempre lo ſteſſo, che due corde fa-<lb/>rebbono. </s>
  <s xml:id="echoid-s4138" xml:space="preserve">Sia dunque AB la potenza di una corda <lb/>elaſtica AS, che tiri il corpo con la direzione AS; <lb/></s>
  <s xml:id="echoid-s4139" xml:space="preserve">e ſia AC la potenza di un’altra corda elaſtica AC, <lb/>che tiri il corpo con la direzione AC. </s>
  <s xml:id="echoid-s4140" xml:space="preserve">Intanto il <lb/>corpo, incamminandoſi per la diagonale AD, co-<lb/>me vogliono i meccanici, ſcorra lo ſpazietto infini-<lb/>teſimo A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s4141" xml:space="preserve">Egli è certo, per le coſe dette, che la <lb/>corda SA traendo il corpo da A in <emph style="it">r</emph>, fa quella. </s>
  <s xml:id="echoid-s4142" xml:space="preserve"><lb/>ſteſſa azione, che farebbe, ſe lo traeſſe da A in <emph style="it">p</emph>; </s>
  <s xml:id="echoid-s4143" xml:space="preserve"><lb/>e che queſta azione, miſurandoſi dalla potenza. </s>
  <s xml:id="echoid-s4144" xml:space="preserve"><lb/>moltiplicata per lo ſpazio, ſi eſprimerà col rettan-<lb/>golo di AB, et A<emph style="it">p</emph>. </s>
  <s xml:id="echoid-s4145" xml:space="preserve">E ſimilmente apparirà, che an-<lb/>che l’ azione della corda CA, traente il corpo da <lb/>A in <emph style="it">r</emph>, ſi eſprimerà col rettangolo di AC, et A<emph style="it">q</emph>. </s>
  <s xml:id="echoid-s4146" xml:space="preserve"><lb/>E non è alcun dubbio, che ſe ſoſſe una terza poten-
<pb o="286" file="0310" n="310" rhead="DELLA FORZA DE’ CORPI"/>
za AD, la qual traeſſe il corpo ſimilmente da A in <lb/><emph style="it">r</emph>, ſi eſprimerebbe l’ azion ſua ſimilmente col ret-<lb/>tangolo di AD et A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s4147" xml:space="preserve">Eſſendo dunque i due rettan-<lb/>goli di AB et A<emph style="it">p</emph>, e di AC et A<emph style="it">q</emph>, preſi inſieme, <lb/>eguali al rettangolo di AD et A<emph style="it">r</emph>, è chiaro, che. <lb/></s>
  <s xml:id="echoid-s4148" xml:space="preserve">venendo il corpo da A in <emph style="it">r</emph>, le azioni delle poten-<lb/>ze laterali, preſe inſieme, ſono eguali a quella azio-<lb/>ne, che la potenza diagonale farebbe da ſe ſola. </s>
  <s xml:id="echoid-s4149" xml:space="preserve"><lb/>Ed eccovi l’ argomento del Padre Riccati, per cui <lb/>viene a conſervarſi nella compoſizione del moto <lb/>quell’ uguaglianza, che i metafiſici aſpettan ſem-<lb/>pre, e richieggon per tutto tra l’ azione e l’ effet-<lb/>to. </s>
  <s xml:id="echoid-s4150" xml:space="preserve">Ne credo che faccia meſtieri, ch’ io vi moſtri, <lb/>come l’argomento ſteſſo ci conduca nell’ opinione <lb/>della forza viva; </s>
  <s xml:id="echoid-s4151" xml:space="preserve">perciocchè ſe egli è fondato in. </s>
  <s xml:id="echoid-s4152" xml:space="preserve"><lb/>queſto, che l’ azion della corda AS ſia ſempre la. </s>
  <s xml:id="echoid-s4153" xml:space="preserve"><lb/>ſteſſa, o tiri il corpo da A in <emph style="it">r</emph>, o lo tiri da A in <emph style="it">p</emph>; </s>
  <s xml:id="echoid-s4154" xml:space="preserve"><lb/>e ſimilmente, che l’ azion della corda AC ſia ſem-<lb/>pre la ſteſſa, o tiri il corpo da A in <emph style="it">r</emph>, o lo tiri da <lb/>A in <emph style="it">q;</emph></s>
  <s xml:id="echoid-s4155" xml:space="preserve"> chi non vede, ciò provenire dall’ eſſer l’ <lb/>azion della corda non altro, che l’ accorciarſi; </s>
  <s xml:id="echoid-s4156" xml:space="preserve">on-<lb/>de ne ſegue, che, miſurandoſi l’ accorciamento dal-<lb/>lo ſpazio, debba miſurarſi dallo ſpazio ancor l’ <lb/>azione, e però anche dal quadrato della velocità, <lb/>perciocchè il quadrato della velocità, movendoſi il <lb/>corpo da A in <emph style="it">p</emph>, ovvero da A in <emph style="it">q</emph> ſecondo le leg-<lb/>gi della gravità, è ſempre allo ſpazio proporziona-<lb/>le. </s>
  <s xml:id="echoid-s4157" xml:space="preserve">Che ſe l’ azione è proporzionale al quadrato <lb/>della velocità, biſognerà bene, che un’ effetto ne <lb/>naſca proporzionale allo ſteſſo quadrato, il qual’
<pb o="287" file="0311" n="311" rhead="Libro III."/>
effetto non può eſſere, ſe non la forza viva di Lei-<lb/>bnizio. </s>
  <s xml:id="echoid-s4158" xml:space="preserve">Qui tacqueſi il Signor D. </s>
  <s xml:id="echoid-s4159" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s4160" xml:space="preserve">e allo-<lb/>ra la Signora Principeſsa, non mancherà, diſſe, <lb/>chi voglia contradire a queſto argomento. </s>
  <s xml:id="echoid-s4161" xml:space="preserve">Io pe-<lb/>rò ſenza contradirgli, deſidero ſolo per intender-<lb/>lo più pienamente, che mi ſoddisfacciate di un. <lb/></s>
  <s xml:id="echoid-s4162" xml:space="preserve">mio deſiderio. </s>
  <s xml:id="echoid-s4163" xml:space="preserve">Se la linea AD, per cui s’ incammi-<lb/>na il corpo, non foſſe la diagonale del parallelo-<lb/>grammo BC, ma altra linea; </s>
  <s xml:id="echoid-s4164" xml:space="preserve">voi non pertanto po-<lb/>treſte prendere in eſſa un punto <emph style="it">r</emph>, e condotte le <lb/>perpendicolari <emph style="it">rp</emph>, <emph style="it">rq</emph>, prolungarla tanto, che foſ-<lb/>ſe il rettangolo di AD, et A<emph style="it">r</emph> eguale ai due rettan-<lb/>goli di AB et A<emph style="it">p</emph>; </s>
  <s xml:id="echoid-s4165" xml:space="preserve">e di AC et A<emph style="it">q</emph>, preſi inſieme; </s>
  <s xml:id="echoid-s4166" xml:space="preserve"><lb/>e in queſto caſo potreſte dire tutte le coſe, che <lb/>avete dette. </s>
  <s xml:id="echoid-s4167" xml:space="preserve">Io dimando dunque, onde avvenga, <lb/>che eſſendo il corpo ſoſpinto dalle due potenze AB, <lb/>AC, più toſto per la diagonale ſi incammini, che <lb/>per altra linea. </s>
  <s xml:id="echoid-s4168" xml:space="preserve">Dimandatene pure i meccanici, diſſe <lb/>allora il Signor D. </s>
  <s xml:id="echoid-s4169" xml:space="preserve">Felice; </s>
  <s xml:id="echoid-s4170" xml:space="preserve">perchè eſſi ſono, che in-<lb/>ſegnano il corpo doverſi incamminare per la diago-<lb/>nale; </s>
  <s xml:id="echoid-s4171" xml:space="preserve">al Padre Riccati baſta di aver dimoſtrato, che, <lb/>incamminandoſi eſſo per la diagonale, l’ effetto è <lb/>pur ſempre eguale all’ azione. </s>
  <s xml:id="echoid-s4172" xml:space="preserve">Ne è però, che egli <lb/>non poſſa anche render ragione, perchè il corpo <lb/>debba più toſto ſeguire la diagonale, che prendere <lb/>altra via. </s>
  <s xml:id="echoid-s4173" xml:space="preserve">Perchè dovete ſapere, che ſecondo il Pa-<lb/>dre Riccati, che in ciò s’ accorda all’ opinione de-<lb/>gli altri meccanici, le due potenze AB, AC non ſo-<lb/>lo traggono il corpo per una terza linea AD, ma <lb/>anche contraſtan tra loro premendoſi l’ una l’ altra
<pb o="288" file="0312" n="312" rhead="Della forza de’ corpi"/>
vicendevolmente; </s>
  <s xml:id="echoid-s4174" xml:space="preserve">ne potrebbe il corpo determi-<lb/>narſi a ſcorrere una certa linea, ſe le preſſioni, per <lb/>cui le potenze contraſtan tra loro, non ſi rendeſ-<lb/>ſero eguali, e ſi diſtruggeſſero. </s>
  <s xml:id="echoid-s4175" xml:space="preserve">Egli è dunque per <lb/>l’ uguaglianza, a cui debbon ridurſi quelle tali preſ-<lb/>ſioni, che il corpo dee ſeguir la diagonale, non al-<lb/>tra linea. </s>
  <s xml:id="echoid-s4176" xml:space="preserve">Ma il Padre Riccati non mette le preſſio-<lb/>ni nel numero delle azioni, e però non vuole, che <lb/>ſi conſiderino, trattandoſi ſolo di ſpiegar l’ ugua-<lb/>glianza, che paſſa tra l’ azione el’ effetto. </s>
  <s xml:id="echoid-s4177" xml:space="preserve">Eſſendo-<lb/>fi qui taciuto il Signor D. </s>
  <s xml:id="echoid-s4178" xml:space="preserve">Felice, feceſi innanzi <lb/>il Signor D. </s>
  <s xml:id="echoid-s4179" xml:space="preserve">Nicola, et, io pure ho un deſiderio, diſ-<lb/>ſe, cui vorrei, che voi ſoddisfaceſte. </s>
  <s xml:id="echoid-s4180" xml:space="preserve">Voi avete <lb/>detto molto accortamente, che la potenza AB, o <lb/>tiri il corpo da A in <emph style="it">r</emph> inſieme con la potenza AC, <lb/>o lo tiri da ſe ſola da A in <emph style="it">p</emph>, nell’ uno e nell’ al-<lb/>tro caſo fa ſempre la ſteſſa azione; </s>
  <s xml:id="echoid-s4181" xml:space="preserve">e certo nell’uno <lb/>e nell’ altro caſo ſegue lo ſteſſo accorciamento della <lb/>corda da voi ſuppoſta. </s>
  <s xml:id="echoid-s4182" xml:space="preserve">E così nell’ uno e nell’ altro <lb/>caſo produce ſempre lo ſteſſo effetto, il quale è, ſe-<lb/>condo voi, la forza viva. </s>
  <s xml:id="echoid-s4183" xml:space="preserve">Similmente diraſſi della <lb/>potenza AC, la quale, come avrà tirato il corpo <lb/>da A in <emph style="it">r</emph> inſieme con la potenza AB, avrà pro-<lb/>dotta in lui quella ſteſſa forza viva, che avrebbe <lb/>in eſſo prodotta, tirandolo da ſe ſola da A in <emph style="it">q</emph>. <lb/></s>
  <s xml:id="echoid-s4184" xml:space="preserve">Onde ne ſegue che il corpo, giunto in <emph style="it">r</emph>, dovrà a-<lb/>vere una forza viva eguale alla ſomma di quelle <lb/>due, che avrebbe avute ne punti <emph style="it">p</emph> et <emph style="it">q</emph>, ſe vi foſse <lb/>ſtato ſeparatamente tirato dalle due potenze. </s>
  <s xml:id="echoid-s4185" xml:space="preserve">Non <lb/>è egli così? </s>
  <s xml:id="echoid-s4186" xml:space="preserve">Così è certamente, diſse il Signor D.</s>
  <s xml:id="echoid-s4187" xml:space="preserve">
<pb o="289" file="0313" n="313" rhead="Libro III."/>
Felice. </s>
  <s xml:id="echoid-s4188" xml:space="preserve">Non però, ſeguitò allora il Signor D. </s>
  <s xml:id="echoid-s4189" xml:space="preserve">Nic-<lb/>cola, avrà il corpo, giunto in <emph style="it">r</emph>, una velocità, che <lb/>ſia eguale alla ſomma delle due velocità, che av-<lb/>rebbe avuto ne punti <emph style="it">p</emph> et <emph style="it">q</emph>. </s>
  <s xml:id="echoid-s4190" xml:space="preserve">Laſciate che io mi ſpie-<lb/>ghi con un’ eſempio. </s>
  <s xml:id="echoid-s4191" xml:space="preserve">Supponghiamo, che il corpo <lb/>tirato dalla ſola potenza AB aveſſe avuta in <emph style="it">p</emph> una <lb/>velocità 3, e per conſeguente una forza viva 9, e <lb/>tirato dalla ſola potenza AC aveſſe avuta in <emph style="it">q</emph> una <lb/>velocità 4, e per conſeguente una forza viva 16; <lb/></s>
  <s xml:id="echoid-s4192" xml:space="preserve">così che la ſomma delle velocità foſſe 7; </s>
  <s xml:id="echoid-s4193" xml:space="preserve">la ſom-<lb/>ma delle forze vive foſſe 25; </s>
  <s xml:id="echoid-s4194" xml:space="preserve">dovendo il corpo, <lb/>giunto in <emph style="it">r</emph>, avere ſecondo voi una forza viva 25, <lb/>non potrà certo avere una velocità, che ſia 7; </s>
  <s xml:id="echoid-s4195" xml:space="preserve">ma. </s>
  <s xml:id="echoid-s4196" xml:space="preserve"><lb/>dovrà averne una minore, la qual ſarà 5; </s>
  <s xml:id="echoid-s4197" xml:space="preserve">altri-<lb/>menti la forza viva, che egli ha in <emph style="it">r</emph>, non ſarebbe <lb/>proporzionale al quadrato della velocità. </s>
  <s xml:id="echoid-s4198" xml:space="preserve">E’ dun-<lb/>que chiaro, che la potenza AB, traendo il corpo <lb/>da ſe ſola in <emph style="it">p</emph>, produce in eſſo una velocità 3; </s>
  <s xml:id="echoid-s4199" xml:space="preserve"><lb/>traendolo poi con la potenza AC in <emph style="it">r</emph>, quantun-<lb/>que faccia la ſteſſa azione, produce però una velo-<lb/>cità minore. </s>
  <s xml:id="echoid-s4200" xml:space="preserve">E ſimilmente la potenza AC, traen-<lb/>do il corpo da ſe ſola in <emph style="it">q</emph>, produce in eſſo una <lb/>velocità 4; </s>
  <s xml:id="echoid-s4201" xml:space="preserve">traendolo poi in <emph style="it">r</emph> con la potenza <lb/>AB, produce una velocità minore, quantunque <lb/>faccia l’ iſteſſa azione; </s>
  <s xml:id="echoid-s4202" xml:space="preserve">e ciò per modo, che la <lb/>ſomma delle velocità, la qual per altro ſarebbe <lb/>ſtara 7, riducaſi ſolo a 5. </s>
  <s xml:id="echoid-s4203" xml:space="preserve">Così che pare, che le po-<lb/>tenze, faccendo le ſteſſe azioni, debbano in certo <lb/>modo convenirſi, e diviſar tra loro delle veloci-<lb/>tà, che debbon produrre. </s>
  <s xml:id="echoid-s4204" xml:space="preserve">Volea ſeguitare il Si-
<pb o="290" file="0314" n="314" rhead="Della forza de’ corpi"/>
gnor D. </s>
  <s xml:id="echoid-s4205" xml:space="preserve">Nicola, ma il Signor D. </s>
  <s xml:id="echoid-s4206" xml:space="preserve">Felice qui l’ in-<lb/>terruppe, e diſſe. </s>
  <s xml:id="echoid-s4207" xml:space="preserve">Ne io vi ho detto, ne potrei dir-<lb/>vi, ſeguendo l’ opinione del Padre Riccati, che le <lb/>potenze producano le velocità; </s>
  <s xml:id="echoid-s4208" xml:space="preserve">anzi vi dico, e <lb/>voglio ben, che intendiate, che qualſifia potenza <lb/>non altro produce mai, che la forza viva; </s>
  <s xml:id="echoid-s4209" xml:space="preserve">la forza <lb/>viva poi, benchè non produca la velocità, (per-<lb/>ciocchè, ſe la produceſſe, ſarebbe ad eſſa propor-<lb/>zionale,) però ſe la trae dietro, come un conſe-<lb/>guente; </s>
  <s xml:id="echoid-s4210" xml:space="preserve">e ſempre ſi trae dietro quella, che le con-<lb/>viene. </s>
  <s xml:id="echoid-s4211" xml:space="preserve">Io non voglio inſiſtere in queſto, riſpoſe <lb/>allora il Signor D. </s>
  <s xml:id="echoid-s4212" xml:space="preserve">Nicola; </s>
  <s xml:id="echoid-s4213" xml:space="preserve">ſebbene egli è una gran <lb/>diſperazione laſciar la velocità, per così dire, ab-<lb/>bandonata, e ſenza cauſa alcuna, che la produca; <lb/></s>
  <s xml:id="echoid-s4214" xml:space="preserve">e molto più mi piacerebbe poter ſupporre, che <lb/>ella ſteſſa ſenza altro foſſe prodotta dalla potenza. </s>
  <s xml:id="echoid-s4215" xml:space="preserve"><lb/>Ma di queſto, come ho detto, non voglio io diſ-<lb/>putare ora; </s>
  <s xml:id="echoid-s4216" xml:space="preserve">tornando dunque a quello, che io di-<lb/>ceva, cangierò fraſe, e dirò che la potenza AB, <lb/>tirando il corpo da ſe ſola in <emph style="it">p</emph>, produce in eſſo <lb/>una forza viva 9, la qual ſi trae dietro come un ſuo <lb/>conſeguente la velocità 3. </s>
  <s xml:id="echoid-s4217" xml:space="preserve">Tirandolo poi in <emph style="it">r</emph> inſie-<lb/>me con la potenza AC, produce in eſſo la ſteſſa <lb/>forza viva 9, e queſta allora ſi trae dietro non più <lb/>la velocità 3, ma altra minore. </s>
  <s xml:id="echoid-s4218" xml:space="preserve">E ſimilmente la <lb/>potenza AC, tirando da ſe ſola il corpo in <emph style="it">q</emph>, pro-<lb/>duce in eſſo una forza viva 16, la qual ſi trae die-<lb/>tro, come un ſuo conſeguente, la velocità 4; </s>
  <s xml:id="echoid-s4219" xml:space="preserve">ti-<lb/>randolo poi in <emph style="it">r</emph> inſieme con la potenza AB, pro-<lb/>duce in eſſo la ſteſſa forza viva 16; </s>
  <s xml:id="echoid-s4220" xml:space="preserve">e queſta allo-
<pb o="291" file="0315" n="315" rhead="Libro III."/>
ra ſi trae dietro non più la velocità 4, ma altra <lb/>più piccola. </s>
  <s xml:id="echoid-s4221" xml:space="preserve">Biſogna dunque, che le due forze <lb/>vive così convengano e ſi concordin tra loro, che <lb/>la ſomma di quelle velocità, che eſſe ſi traggon <lb/>dietro, e che per altro dovrebbe eſſer 7, divenga <lb/>5. </s>
  <s xml:id="echoid-s4222" xml:space="preserve">Quì il Signor D. </s>
  <s xml:id="echoid-s4223" xml:space="preserve">Serao, interrompendo il Signor <lb/>D. </s>
  <s xml:id="echoid-s4224" xml:space="preserve">Nicola, ſe Dio m’ ajuti, diſſe, queſta è coſa mol-<lb/>to ſcomoda a concepirſi, et io certo per me deſi-<lb/>dererei una ſentenza più agevole. </s>
  <s xml:id="echoid-s4225" xml:space="preserve">E veggo bene o-<lb/>ra, perchè il Signor D. </s>
  <s xml:id="echoid-s4226" xml:space="preserve">Felice non ha mai voluto <lb/>concedere, che contraendoſi, et accorciandoſi la cor-<lb/>da SA, l’ effetto di eſſa ſia la velocità prodotta nel <lb/>corpo A: </s>
  <s xml:id="echoid-s4227" xml:space="preserve">poichè nel noſtro caſo eſſendo diſeguali <lb/>le velocità, che il corpo acquiſta traendoſi dall’ <lb/>iſteſſa corda in <emph style="it">r</emph>, o in <emph style="it">p</emph>, ſarebbono diſuguali gl’ ef-<lb/>fetti, e però diſeguali ancor le azioni; </s>
  <s xml:id="echoid-s4228" xml:space="preserve">e troppo a-<lb/>vea biſogno il Padre Riccati dell’ uguaglianza del-<lb/>le azioni per teſſere quella ſua dimoſtrazione. </s>
  <s xml:id="echoid-s4229" xml:space="preserve">E <lb/>per queſto anche, diſſi io allora, s’ è egli oſtinato <lb/>a volere, che accorciandoſi la corda AS, l’ azion <lb/>ſua ſia lo ſteſſo accorciarſi; </s>
  <s xml:id="echoid-s4230" xml:space="preserve">per poter poi, eſſendo <lb/>eguale nell’ uno e nell’ altro caſo l’ accorciamento, <lb/>ſoſtenere, che foſſe eguale ancor l’ azione. </s>
  <s xml:id="echoid-s4231" xml:space="preserve">Vedete <lb/>anche un’ altra malizia; </s>
  <s xml:id="echoid-s4232" xml:space="preserve">che non ha mai voluto <lb/>conſentirmi, che il premere ſia agire, e che delle <lb/>preſſioni debba averſi veruna conſiderazione; </s>
  <s xml:id="echoid-s4233" xml:space="preserve">per-<lb/>chè certo l’ argomento del Padre Riccati ſarebbe a <lb/>cattiva condizione, ſe oltre le azioni, con cui le <lb/>potenze traggono il corpo da A in <emph style="it">r</emph>, doveſſero <lb/>conſiderarſi ancor le preſſioni, per cui ſi oppongo-
<pb o="292" file="0316" n="316" rhead="DELLA FORZA DE’ CORPI"/>
no e fan contraſto l’una con l’altra; </s>
  <s xml:id="echoid-s4234" xml:space="preserve">ne ſo ſe, met-<lb/>tendoſi queſte preſſioni a luogo di azioni, foſſe poi <lb/>così facile il dimoſtrare, che le due azioni delle po-<lb/>tenze laterali foſſero eguali all’ azione della poten-<lb/>za diagonale. </s>
  <s xml:id="echoid-s4235" xml:space="preserve">Non ſo, diſse allora il Signor D. </s>
  <s xml:id="echoid-s4236" xml:space="preserve">Fe-<lb/>lice ridendo, qual di noi ſia più malizioſo, o io, <lb/>che voi dite aver uſate tante malizie, o voi, che <lb/>penſate di averle diſcoperte. </s>
  <s xml:id="echoid-s4237" xml:space="preserve">Ma perchè non laſcia-<lb/>te, che il Signor D. </s>
  <s xml:id="echoid-s4238" xml:space="preserve">Nicola proſeguiſca il ſuo ra-<lb/>gionare, e finiſca di eſporre quella difficoltà, che <lb/>avea cominciato? </s>
  <s xml:id="echoid-s4239" xml:space="preserve">Niuna difficoltà, diſse allora il <lb/>Signor D. </s>
  <s xml:id="echoid-s4240" xml:space="preserve">Nicola, intendo io di eſporvi; </s>
  <s xml:id="echoid-s4241" xml:space="preserve">intendo <lb/>ſolo, che voi mi ſpieghiate una coſa, la quale o <lb/>non ho letta nel Padre Riccati, o non me ne ricor-<lb/>do, et è però degna, che ſi ſappia. </s>
  <s xml:id="echoid-s4242" xml:space="preserve">Ed eccola. </s>
  <s xml:id="echoid-s4243" xml:space="preserve">I <lb/>meccanici richieggono, che il corpo A tirato da a-<lb/>mendue le potenze, non ſolamente ſcorra la dia-<lb/>gonale AD, ma la ſcorra in quel medeſimo tempo, <lb/>in cui ſcorrerebbe o l’ uno o l’ altro lato del pa-<lb/>rallelogrammo, ſe foſse tirato o dall’ una o dall’ al-<lb/>tra potenza ſolamente. </s>
  <s xml:id="echoid-s4244" xml:space="preserve">Così ſe ſi condurranno le <lb/>due linee <emph style="it">rm</emph>, <emph style="it">rn</emph> parallele ai lati DB, DC, com-<lb/>piendo il parallelogrammo <emph style="it">mn</emph>, vogliono i mecca-<lb/>nici, che il corpo ſcorra la lineetta A<emph style="it">r</emph> in quel tem-<lb/>po ſteſso, in cui ſcorrerebbe o la linea A<emph style="it">m</emph>, <lb/>ſe foſse tirato dalla ſola potenza AB, o la <lb/>linea A<emph style="it">n</emph>, ſe foſse tirato dalla ſola AC. </s>
  <s xml:id="echoid-s4245" xml:space="preserve">Ora <lb/>io ho inteſo per le coſe da voi ragionate, <lb/>che le azioni delle potenze ſon ſempre le medeſi-<lb/>me, o traggano congiuntamente il corpo in <emph style="it">r</emph>, o il
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traggano ſeparatamente l’ una in <emph style="it">p</emph>, l’ altra in <emph style="it">q</emph>. <lb/></s>
  <s xml:id="echoid-s4246" xml:space="preserve">Ho anche inteſo, che il corpo, giunto in <emph style="it">r</emph>, avrà <lb/>una forza viva eguale alla ſomma di quelle due, <lb/>che egli avrebbe in <emph style="it">p</emph> et in <emph style="it">q</emph>. </s>
  <s xml:id="echoid-s4247" xml:space="preserve">Ma non ho ancora <lb/>inteſe, come il corpo, tirato dalle due poten-<lb/>ze inſieme, debba ſcorrere la lineetta A<emph style="it">r</emph> nell’ i-<lb/>ſteſſo tempo, in cui ſcorrerebbe A<emph style="it">m</emph>, ſe foſſe tira-<lb/>to dalla ſola potenza AB, ovvero A<emph style="it">n</emph>, ſe foſſe <lb/>tirato dalla ſola AC. </s>
  <s xml:id="echoid-s4248" xml:space="preserve">Se voi aveſte letto attenta-<lb/>mente, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s4249" xml:space="preserve">Felice, tutto il luo-<lb/>go, dove il Padre Riccati dichiara la ſua dimoſtra-<lb/>zione, avreſte inteſo anche ciò, che voi mi di-<lb/>mandate. </s>
  <s xml:id="echoid-s4250" xml:space="preserve">E ſenza leggerlo, potrete intenderlo an-<lb/>cora da voi medeſimo; </s>
  <s xml:id="echoid-s4251" xml:space="preserve">ſol che vi piaccia di ſtabi-<lb/>lir prima il tempo, nel quale il corpo tirato dalla <lb/>ſola potenza AB, ſcorre lo ſpazio A<emph style="it">p</emph>, e inſieme <lb/>il tempo, in cui tirato congiuntamente dalle due <lb/>potenze, ovvero dalla potenza diagonale, che può <lb/>ſoſtituirſi alle due, ſcorre lo ſpazio A<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s4252" xml:space="preserve">perciocchè <lb/>ſcorrendo il corpo lo ſpazio A<emph style="it">p</emph> ſecondo le leggi <lb/>della gravità, ſe egli nel primo dei ſopraddetti due <lb/>tempi ſcorre lo ſpazio A<emph style="it">p</emph>, potrà facilmente racco-<lb/>glierſi, quale ſpazio dovrà ſcorrere nel ſecondo; </s>
  <s xml:id="echoid-s4253" xml:space="preserve">e <lb/>voi troverete, che eſſo ſpazio è appunto la quarta <lb/>linea proporzionale dopo le trè AD, AB, A<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s4254" xml:space="preserve">cioè a <lb/>dire la linea A<emph style="it">m</emph>. </s>
  <s xml:id="echoid-s4255" xml:space="preserve">Simil coſa dimoſtrerete anche riſ-<lb/>petto alla linea A<emph style="it">n</emph>, et all’ iſteſſo modo. </s>
  <s xml:id="echoid-s4256" xml:space="preserve">Ne laſcia <lb/>il Padre Riccati di dichiararlo ſottilmente; </s>
  <s xml:id="echoid-s4257" xml:space="preserve">ma voi <lb/>non vorrete ora, che io mi avvolga in molte e lun-<lb/>ghe ſupputazioni; </s>
  <s xml:id="echoid-s4258" xml:space="preserve">ne io forſe potrei, quando be-
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ne il voleſte. </s>
  <s xml:id="echoid-s4259" xml:space="preserve">Perchè non potremmo noi, diſſi io <lb/>allora, cominciarne quì una, traendola da quelle <lb/>coſe, che avete fin quì ſpiegate? </s>
  <s xml:id="echoid-s4260" xml:space="preserve">e ſe ella ci ſi av-<lb/>volge, e divien troppo lunga, che ſarà a noi l’ ab-<lb/>bandonarla? </s>
  <s xml:id="echoid-s4261" xml:space="preserve">Biſognerebbe, diſſe quivi il Sig. </s>
  <s xml:id="echoid-s4262" xml:space="preserve">D. <lb/></s>
  <s xml:id="echoid-s4263" xml:space="preserve">Felice, prima d’ogni altra coſa ſtabilire i tempi, che <lb/>ho detto. </s>
  <s xml:id="echoid-s4264" xml:space="preserve">Voi avete già detto più volte, ripigliai io, <lb/>che la potenza moltiplicata per lo ſpazio ſcorſo è <lb/>ſempre proporzionale all’ azione; </s>
  <s xml:id="echoid-s4265" xml:space="preserve">e l’ azione alla <lb/>forza viva; </s>
  <s xml:id="echoid-s4266" xml:space="preserve">e la forza viva al quadrato della velocità. </s>
  <s xml:id="echoid-s4267" xml:space="preserve"><lb/>Di qui certo ſegue, che eſſendo la velocità propor-<lb/>zionale allo ſpazio diviſo pel tempo, cioè ad {S/T} <lb/>(dico S lo ſpazio, T il tempo) dovrà la potenza <lb/>moltiplicata per lo ſpazio eſſere eguale al quadra-<lb/>to di {S/T}, e nominando P la potenza, dovrà eſſere <lb/>PS = {SS/TT}. </s>
  <s xml:id="echoid-s4268" xml:space="preserve">Dunque, ſoggiunſe ſubito il Signor D. </s>
  <s xml:id="echoid-s4269" xml:space="preserve"><lb/>Felice, ſarà TT = {S/P}, cioè a dire: </s>
  <s xml:id="echoid-s4270" xml:space="preserve">il quadrato del <lb/>tempo, nel quale il corpo ſcorre un certo ſpazio, <lb/>ſarà eguale allo ſpazio ſteſſo diviſo per quella po-<lb/>tenza, che lo fa ſcorrere. </s>
  <s xml:id="echoid-s4271" xml:space="preserve">Abbiamo dunque ſubi-<lb/>to i quadrati dei due tempi, che cercavamo; </s>
  <s xml:id="echoid-s4272" xml:space="preserve">poi-<lb/>chè il quadrato del tempo, nel quale il corpo ſcor-<lb/>rerebbe A<emph style="it">p</emph>, ſarà {A<emph style="it">p</emph>/AB}; </s>
  <s xml:id="echoid-s4273" xml:space="preserve">e il quadrato del tempo, nel <lb/>quale il corpo ſcorre A<emph style="it">r</emph>, ſarà {A<emph style="it">r</emph>/AD}. </s>
  <s xml:id="echoid-s4274" xml:space="preserve">E bene, ſog-
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giunſi io allora, s’ egli è vero quello, che già ave-<lb/>te detto, cioè, che il corpo ſcorra lo ſpazio A<emph style="it">p</emph> ſe-<lb/>condo le leggi della gravità, onde i quadrati dei <lb/>tempi debbano eſſere proporzionali agli ſpazj; </s>
  <s xml:id="echoid-s4275" xml:space="preserve">e <lb/>ſe egli, tirato dalla ſola potenza AB, ſcorre A<emph style="it">p</emph> <lb/>in quel tempo, il cui quadrato è {A<emph style="it">p</emph>/AB}, niente ſarà <lb/>più facile, che ſcoprire, quale ſpazio dovrà ſcor-<lb/>rere in un tempo, il cui quadrato ſia {A<emph style="it">r</emph>/AD}; </s>
  <s xml:id="echoid-s4276" xml:space="preserve">e allo-<lb/>ra vedraſſi ſe tale ſpazio appunto ſia la linea A<emph style="it">m</emph>, <lb/>come eſſer dee, e come io credo veramente, che <lb/>ſia. </s>
  <s xml:id="echoid-s4277" xml:space="preserve">Mentre io diceva queſte parole, il Signor Con-<lb/>te della Cueva avea già ſteſo in una carta i termi-<lb/>ni della proporzionalità <lb/>{A<emph style="it">p</emph>/AB}, {A<emph style="it">r</emph>/AD}:</s>
  <s xml:id="echoid-s4278" xml:space="preserve">: A<emph style="it">p</emph>, {AB: </s>
  <s xml:id="echoid-s4279" xml:space="preserve">A<emph style="it">r</emph>/AD} <lb/>quando tutto lieto eſclamò: </s>
  <s xml:id="echoid-s4280" xml:space="preserve">è deſſa, è deſſa. </s>
  <s xml:id="echoid-s4281" xml:space="preserve">Lo <lb/>ſpazio, che ſi cerca, è appunto la linea A<emph style="it">m</emph>, eſſen-<lb/>do egli {AB: </s>
  <s xml:id="echoid-s4282" xml:space="preserve">A<emph style="it">r</emph>/AD}, cioè la quarta linea proporzio-<lb/>nale dopo le tre AD, AB, A<emph style="it">r</emph>. </s>
  <s xml:id="echoid-s4283" xml:space="preserve">Vedete dunque, <lb/>diſſe allora, a me rivolto, il Signor D. </s>
  <s xml:id="echoid-s4284" xml:space="preserve">Felice, che <lb/>il corpo, qualor foſſe tirato dalla ſola potenza <lb/>AB, ſcorrerebbe la linea A<emph style="it">m</emph> in quello ſteſſo tem-<lb/>po, in cui, tirato dalle due potenze, ſcorre la li-<lb/>nea A<emph style="it">r</emph>; </s>
  <s xml:id="echoid-s4285" xml:space="preserve">e medeſimamente ſi moſtrerà, che nello <lb/>ſteſſo tempo ſcorrerebbe la linea A<emph style="it">n</emph>, ſe ſoſſe ti-<lb/>rato dalla ſola potenza AC. </s>
  <s xml:id="echoid-s4286" xml:space="preserve">Troverete voi qui <lb/>malizia alcuna? </s>
  <s xml:id="echoid-s4287" xml:space="preserve">Io non ne cerco, diſſi, acciocchè
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voi non diciate, che io ſia malizioſo, trovandone; <lb/></s>
  <s xml:id="echoid-s4288" xml:space="preserve">dico bene, che a queſto argomento non potrebbe <lb/>procederſi, ſenza aſſumer prima, e che l’ azione <lb/>ſia la potenza applicata non al tempo, ma allo ſpa-<lb/>zio, e che eſſa produca non la velocità, ma la <lb/>forza viva, e che il corpo tratto da qualſiſia po-<lb/>tenza debba nel primo ſuo moverſi ſeguir le leggi <lb/>della gravità; </s>
  <s xml:id="echoid-s4289" xml:space="preserve">le quali coſe tutte, eſſendo per ſe <lb/>ſteſſe oſcure ed incerte, voi le avevate aſſai prima <lb/>con molta arte preparate e diſpoſte, e fattele appa-<lb/>rire, come certiſſime, per farne poi naſcere un’ ar-<lb/>gomento, con cui ſi dimoſtraſse la forza viva di <lb/>Leibnizio. </s>
  <s xml:id="echoid-s4290" xml:space="preserve">Ma io non voglio rimettere ora in <lb/>campo quegli argomenti, di cui s’ è oggimai tanto <lb/>diſputato. </s>
  <s xml:id="echoid-s4291" xml:space="preserve">Allora il Signor D. </s>
  <s xml:id="echoid-s4292" xml:space="preserve">Felice ridendo, non <lb/>ſo, diſse, ſe vi giovaſse; </s>
  <s xml:id="echoid-s4293" xml:space="preserve">perciocchè le propoſizio-<lb/>ni, che ſi aſsumono a formar la dimoſtrazione, che io <lb/>vi ho eſpoſta, quali che eſse ſieno, e che che n’ <lb/>abbiate oggi diſputato; </s>
  <s xml:id="echoid-s4294" xml:space="preserve">debbono certamente eſsere <lb/>ammeſse, ſe elleno ſon neceſsarie a ſpiegare, co-<lb/>me un principio certiſſimo dei metafiſici ſi accordi <lb/>a un teorema altresì certiſſimo dei meccanici. </s>
  <s xml:id="echoid-s4295" xml:space="preserve">Di <lb/>fatti come vorreſte voi ſpiegare, che nella compo-<lb/>ſizione del moto, propoſta dai meccanici, ſia l’ ef-<lb/>fetto eguale all’ azione, ſiccome vogliono i meta-<lb/>fiſici, ſenza ſtabilir prima, che l’ azione delle po-<lb/>tenze laterali ſia eguale all’ azione della potenza <lb/>diagonale? </s>
  <s xml:id="echoid-s4296" xml:space="preserve">E come ſtabilir queſto ſenza dir, che l’ <lb/>azione generalmente miſurar ſi debba dalla poten-<lb/>za applicata allo ſpazio? </s>
  <s xml:id="echoid-s4297" xml:space="preserve">E ciò dicendo, biſogna
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pure attribuirle un’ eſfetto proporzionale allo ſpa-<lb/>zio ſteſſo, cioè al quadrato della velocità; </s>
  <s xml:id="echoid-s4298" xml:space="preserve">il qua-<lb/>le effetto che altro eſſer può ſe non la forza viva? <lb/></s>
  <s xml:id="echoid-s4299" xml:space="preserve">Cioè, ſoggiunſi io allora, l’ inerzia. </s>
  <s xml:id="echoid-s4300" xml:space="preserve">Che mi dite <lb/>voi, riſpoſe il Signor D. </s>
  <s xml:id="echoid-s4301" xml:space="preserve">Felice, d’ inerzia? </s>
  <s xml:id="echoid-s4302" xml:space="preserve">Il Pa-<lb/>dre Riccati, diſſi io allora, non vuole egli, chela <lb/>forza viva ſia l’ inerzia? </s>
  <s xml:id="echoid-s4303" xml:space="preserve">Oh voi, diſſe ſubito il Si. </s>
  <s xml:id="echoid-s4304" xml:space="preserve"><lb/>gnor D. </s>
  <s xml:id="echoid-s4305" xml:space="preserve">Felice, volete richiamarmiora alla diffini-<lb/>zione della forza viva; </s>
  <s xml:id="echoid-s4306" xml:space="preserve">la qual certo il Padre Ric-<lb/>cati inſegna nel principio del ſuo dottiſſimo libro <lb/>eſſere l’ inerzia ſteſſa, ſe ſi conſideri in quanto fa <lb/>contraſto con quelle potenze, che vorrebbono can-<lb/>giare lo ſtato del corpo. </s>
  <s xml:id="echoid-s4307" xml:space="preserve">E chi è, diſſi io allora, <lb/>che non conſideri l’ inerzia a queſto modo? </s>
  <s xml:id="echoid-s4308" xml:space="preserve">Ma io <lb/>certo non intendo, come tale inerzia producaſi <lb/>dalle potenze, le quali con l’ azion loro altro mai <lb/>non fanno, che turbarla; </s>
  <s xml:id="echoid-s4309" xml:space="preserve">ne come ella debba eſſere <lb/>proporzionale al quadrato della velocità. </s>
  <s xml:id="echoid-s4310" xml:space="preserve">Che che <lb/>ſia di ciò, diſſe quivi il Signor D. </s>
  <s xml:id="echoid-s4311" xml:space="preserve">Felice, niente è <lb/>a me; </s>
  <s xml:id="echoid-s4312" xml:space="preserve">purchè ſia quello, che abbiamo detto, cioè <lb/>che la potenza debba produrre un’ effetto propor-<lb/>zionale al quadrato della velocità; </s>
  <s xml:id="echoid-s4313" xml:space="preserve">poichè queſto <lb/>effetto, qualunque egli ſiaſi, lo chiameremo forza <lb/>viva. </s>
  <s xml:id="echoid-s4314" xml:space="preserve">Chiamandolo però di queſto modo, riſpoſi <lb/>io allora, voi nol chiamerete molto elegantemente; </s>
  <s xml:id="echoid-s4315" xml:space="preserve"><lb/>perchè ſe voi non dimoſtrate, che quell’ effetto ſteſ-<lb/>ſo produca altri effetti nella natura, e ſia neceſſario <lb/>a indur ne corpi quelle ſorme, che in lor veggia-<lb/>mo, ſarà coſa inelegante chiamarlo forza. </s>
  <s xml:id="echoid-s4316" xml:space="preserve">Ma voi, <lb/>diſſe allora il Signor D. </s>
  <s xml:id="echoid-s4317" xml:space="preserve">Felice, ſiete ſofiſticoal ſom-
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mo, e vorreſte, per quanto veggo, allontanarvi a <lb/>poco a poco dall’ argomento propoſto. </s>
  <s xml:id="echoid-s4318" xml:space="preserve">A cui pe-<lb/>rò ritornando, non vi par’ egli, che dando luogo <lb/>alla forza viva, comodiſſimamente ſi ſpieghi, come <lb/>nella compoſizione del moto ſia l’ effetto eguale <lb/>all’ azione, che lo produce; </s>
  <s xml:id="echoid-s4319" xml:space="preserve">il che malamente po-<lb/>trebbe ſpiegarſi da chi levaſſe via, come voi fate, ogni <lb/>forza viva? </s>
  <s xml:id="echoid-s4320" xml:space="preserve">E certo della dimoſtrazione del P. </s>
  <s xml:id="echoid-s4321" xml:space="preserve">Ric-<lb/>cati, che che voi ne diciate, dovranno eſſer con-<lb/>tenti i meccanici, e non dolerſene i metafiſici. </s>
  <s xml:id="echoid-s4322" xml:space="preserve">Et io <lb/>temo, riſpoſi, che ſe ne doleranno e gli uni e gli <lb/>altri; </s>
  <s xml:id="echoid-s4323" xml:space="preserve">e meglio potrebbe ſoddisfarſi al deſiderio d’ <lb/>entrambi ſenza la forza viva. </s>
  <s xml:id="echoid-s4324" xml:space="preserve">Pure, diſſe il Signor <lb/>D. </s>
  <s xml:id="echoid-s4325" xml:space="preserve">Felice, faccendo naſcere la compoſizione del mo-<lb/>to per l’ egualità delle azioni, parmi certo, che <lb/>non ſi faccia ai meccanici niun torto. </s>
  <s xml:id="echoid-s4326" xml:space="preserve">Non dico, ri-<lb/>ſpoſi io, che ſi faccia loro alcun torto; </s>
  <s xml:id="echoid-s4327" xml:space="preserve">credo be-<lb/>ne, che volendo eſſi far valere la compoſizione in <lb/>molti caſi, non ameranno farla naſcere per una ra-<lb/>gione, la qual vaglia in un ſolo. </s>
  <s xml:id="echoid-s4328" xml:space="preserve">E chi non ſa, che <lb/>come negli altri moti, così anche vogliono i mecca-<lb/>nici, che ſi faccia la compoſizione nei moti equa-<lb/>bili? </s>
  <s xml:id="echoid-s4329" xml:space="preserve">Perchè ſe per eſempio, andando un corpo ſu <lb/>per una tavola di moto equabile verſo una certa <lb/>parte, la tavola ſteſſa ſi moveſſe ella pure di moto <lb/>equabile, e il portaſſe verſo un’ altra, ſi farebbe <lb/>nel corpo, ſecondo il parer de meccanici, la compoſi-<lb/>zione dei due movimenti; </s>
  <s xml:id="echoid-s4330" xml:space="preserve">e pure qual luogo avreb-<lb/>be quivi la ragione, che voi avete dedotta dall’ egua-<lb/>lità delle azioni? </s>
  <s xml:id="echoid-s4331" xml:space="preserve">Perciocchè qui niuna fune potreb-
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be fingerſi, la quale accorciandoſi eſercitaſſe un’ <lb/>azicne proporzionale allo ſpazio; </s>
  <s xml:id="echoid-s4332" xml:space="preserve">e traeſſe il corpo <lb/>con un moto accelerato, ſiccome è quello dei gra-<lb/>vi; </s>
  <s xml:id="echoid-s4333" xml:space="preserve">le quali coſe tolte via, è tolta via ancor la vo-<lb/>ſtra ragione. </s>
  <s xml:id="echoid-s4334" xml:space="preserve">Che direm noi, che i meccanici trova-<lb/>no la compoſizione non ſolamente nei moti, ma <lb/>anche nelle preſſioni, da cui non ſegue moto niu-<lb/>no? </s>
  <s xml:id="echoid-s4335" xml:space="preserve">perciocchè come di due movimenti ne com-<lb/>pongono uno, così anche, et all’ iſteſſo modo, <lb/>compongono una preſſione di due; </s>
  <s xml:id="echoid-s4336" xml:space="preserve">ne è coſa, che <lb/>inſegnino intorno alla compoſizione, et alla riſo-<lb/>luzione dei movimenti, la qual non vogliano che <lb/>s’ intenda egualmente anche nelle preſſioni. </s>
  <s xml:id="echoid-s4337" xml:space="preserve">Ora in <lb/>queſte preſſioni, che non hanno moto niuno, qual <lb/>luogo avranno le funi elaſtiche? </s>
  <s xml:id="echoid-s4338" xml:space="preserve">quale gliaccorcia-<lb/>menti? </s>
  <s xml:id="echoid-s4339" xml:space="preserve">quale le potenze moltiplicate per lo ſpazio? <lb/></s>
  <s xml:id="echoid-s4340" xml:space="preserve">quale le accelerazioni? </s>
  <s xml:id="echoid-s4341" xml:space="preserve">e queſte coſe ſono i fon-<lb/>damenti della ragion voſtra. </s>
  <s xml:id="echoid-s4342" xml:space="preserve">Ne ſo quanto poſſa, <lb/>valere al Padre Riccati il dire, che i moti equabili, <lb/>e le preſſioni non ſono azioni; </s>
  <s xml:id="echoid-s4343" xml:space="preserve">e perô non dovere <lb/>averſi di loro conſiderazione alcuna. </s>
  <s xml:id="echoid-s4344" xml:space="preserve">Imperocchè <lb/>ſe non ſono azioni, e tuttavia ſi fa in loro la com-<lb/>poſizione, come ſe foſſero; </s>
  <s xml:id="echoid-s4345" xml:space="preserve">par bene, chele ragio-<lb/>ni, e i modi, onde eſſa compoſizione ſi fa, debba-<lb/>no per tutt’ altro ſpiegarſi, che per l’ azione. </s>
  <s xml:id="echoid-s4346" xml:space="preserve">E ſo-<lb/>no anche ſopra ciò da aſcoltarſi i metaſiſici, i quali <lb/>quando inſegnano, che l’ effetto dee corriſponder <lb/>ſempre all’ azione, tal ſignificato attribuiſcono <lb/>a queſta voce azione, che vogliono abbracciar <lb/>con eſſo, e comprendere non ſolamente le a-
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zioni acceleratrici, ma generalmente tutte le <lb/>azioni, che finger ſi poſſono; </s>
  <s xml:id="echoid-s4347" xml:space="preserve">e non ne eſclu-<lb/>dono pur le preſſioni. </s>
  <s xml:id="echoid-s4348" xml:space="preserve">Ne biſogna per voler di-<lb/>fendere il lor principio, mutar la ſignificazione <lb/>dei termini, con cui lo propongono, ne intendere <lb/>per azione altro, che quello, che intendon eſſi; <lb/></s>
  <s xml:id="echoid-s4349" xml:space="preserve">perchè chi fa altrimenti, non difende il lor prin-<lb/>cipio, ma lo cangia. </s>
  <s xml:id="echoid-s4350" xml:space="preserve">Volendo io dir più oltre, il <lb/>Signor D. </s>
  <s xml:id="echoid-s4351" xml:space="preserve">Serao mi interruppe, e diſſe: </s>
  <s xml:id="echoid-s4352" xml:space="preserve">i voſtri <lb/>metafiſici non potrebbono eſſere ingannati eſſi, et <lb/>aver preſo per azione quello, che veramente azio-<lb/>ne non ſia? </s>
  <s xml:id="echoid-s4353" xml:space="preserve">perchè voi pare, che alla metafiſica cre-<lb/>diate ogni coſa, e l’ abbiate per infallibile. </s>
  <s xml:id="echoid-s4354" xml:space="preserve">Io cre-<lb/>do, riſpoſi, che la metafiſica abbia principj più ſi-<lb/>curi, che qualunque altra ſcienza; </s>
  <s xml:id="echoid-s4355" xml:space="preserve">anzi credo, che <lb/>le altre ſcienze non ne abbiano niuno ſicuro, ſe <lb/>non ſe quelli, che prendono in preſtito dalla meta-<lb/>fifica; </s>
  <s xml:id="echoid-s4356" xml:space="preserve">gli altri tutti, che traggono dall’ oſſervazio-<lb/>ne, recano ſempre con loro qualche timore, et eſ-<lb/>ſendo certi nei caſi particolari, in cui ſi oſservano, <lb/>perdono molto della loro certezza, faccendoſi uni-<lb/>verſali; </s>
  <s xml:id="echoid-s4357" xml:space="preserve">il che non interviene dei principj metafi-<lb/>ſici, i quali non per varie oſſervazioni, e per lun-<lb/>ghezza di tempo, ſi manifeſtano, ma ſubito e per <lb/>ſe ſteſſi. </s>
  <s xml:id="echoid-s4358" xml:space="preserve">Ma venendo al propoſito, io riſpondo, <lb/>che ſe i metafiſici aveſſero malamente inteſo l’ a-<lb/>zione, comprendendo ſotto queſta voce alcuna <lb/>coſa, che azione non foſſe, e in cui non doveſſe <lb/>valere quel lor principio; </s>
  <s xml:id="echoid-s4359" xml:space="preserve">io direi più toſto il <lb/>principio loro eſſer falſo, che ſoſtenerlo come ve-
<pb o="301" file="0325" n="325" rhead="LIBRO III."/>
ro, e poi mutarlo. </s>
  <s xml:id="echoid-s4360" xml:space="preserve">Sebbene eſſendo il concetto, <lb/>che noi abbiamo della azione, ſempliciſſimo, e <lb/>comune a tutti gli uomini, come quello è dello ſpa-<lb/>zio, del tempo, del modo, della relazione, della <lb/>ſoſtanza, et altri molti; </s>
  <s xml:id="echoid-s4361" xml:space="preserve">io non ſo, per qual ragio-<lb/>ne temer ſi debba, che i metafiſici vi ſi ſieno in-<lb/>gannati, non inganandoviſi neſſun’ altro; </s>
  <s xml:id="echoid-s4362" xml:space="preserve">perchè <lb/>ſiccome niuno è, che ſi inganni nel concetto del-<lb/>lo ſpazio, e del tempo, così che gli confonda l’ <lb/>un con l’ altro; </s>
  <s xml:id="echoid-s4363" xml:space="preserve">ſimilmente parmi che dir ſi poſſa <lb/>dell’ azione; </s>
  <s xml:id="echoid-s4364" xml:space="preserve">di modo che, ſe il premere ſia agire, <lb/>e ſe colui, che preme, faccia azion niuna, parmi <lb/>una quiſtione da dover potere eſſere ſciolta non <lb/>men dal vulgo, che dai filoſoſi. </s>
  <s xml:id="echoid-s4365" xml:space="preserve">Vedete, che io <lb/>non amo troppo i metafiſici, rimettendo la quiſtio-<lb/>ne anche al popolo. </s>
  <s xml:id="echoid-s4366" xml:space="preserve">Voi gli amate troppo, diſſe <lb/>il Signor D. </s>
  <s xml:id="echoid-s4367" xml:space="preserve">Serao, volendo, che i meccanici ſi ac-<lb/>comodino al ſentimento loro. </s>
  <s xml:id="echoid-s4368" xml:space="preserve">Anzi io voglio, riſ-<lb/>poſi, che ſi accomodino al ſentimento del popolo; <lb/></s>
  <s xml:id="echoid-s4369" xml:space="preserve">perchè qual è del popolo, che non conti il preme-<lb/>re tra le azioni? </s>
  <s xml:id="echoid-s4370" xml:space="preserve">chi è, che poſſa indurſi nell’ ani-<lb/>mo, che l’ azione non ſia più azione, ſe per ven-<lb/>tura ne ſia impedito l’ effetto? </s>
  <s xml:id="echoid-s4371" xml:space="preserve">Potete ſtudiarvi, <lb/>quanto volete, diſſe quivi la Signora Principeſſa, <lb/>e ingegnarvi di parer popolare, che quanto a me <lb/>vi avrò ſempre per un grande amatore della meta-<lb/>fiſica; </s>
  <s xml:id="echoid-s4372" xml:space="preserve">il perchè non poſſo non maravigliarmi, che <lb/>voi vogliate levar via quella bella concordia, che <lb/>il Padre Riccati avea con tanto ingegno procurata <lb/>tra la compoſizione del moto propoſta dai meccani-
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ci, e l’ uguaglianza dell’ azione e dell’ effetto ſta-<lb/>bilita dai metaſiſici. </s>
  <s xml:id="echoid-s4373" xml:space="preserve">Io non voglio levar via quel-<lb/>la concordia, riſpoſi; </s>
  <s xml:id="echoid-s4374" xml:space="preserve">anzi dico, che ſenza tanto <lb/>ſtudio può beniſſimo conſervarſi, e ſenza forza <lb/>viva. </s>
  <s xml:id="echoid-s4375" xml:space="preserve">Queſto, diſſe allora la Signora Principeſſa.</s>
  <s xml:id="echoid-s4376" xml:space="preserve">, <lb/>dovreſte voi ſpiegarci. </s>
  <s xml:id="echoid-s4377" xml:space="preserve">Ne lunga, riſpoſi, ne dif-<lb/>ficile ſpiegazione vi ſi ricerca; </s>
  <s xml:id="echoid-s4378" xml:space="preserve">ſolo che voi mi <lb/>concediate quello, che niuno, ch’ io ſappia, ha mai <lb/>negato, cioè che la ſteſſa potenza ora agiſca più, <lb/>et ora agiſca meno; </s>
  <s xml:id="echoid-s4379" xml:space="preserve">il che certamente non induce <lb/>diſuguaglianza veruna tra l’ azione e l’ effetto; </s>
  <s xml:id="echoid-s4380" xml:space="preserve">per-<lb/>ciocchè può beniſſimo la potenza ſteſſa qualora <lb/>agiſce più, produrre effetto maggiore, e qualora <lb/>agiſce meno, produrre effetto minore. </s>
  <s xml:id="echoid-s4381" xml:space="preserve">Qui il Sig. <lb/></s>
  <s xml:id="echoid-s4382" xml:space="preserve">D. </s>
  <s xml:id="echoid-s4383" xml:space="preserve">Felice ridendo, certo, diſſe, voi a coteſto mo-<lb/>do vi aprite la ſtrada ad una ſpiegazion facile; </s>
  <s xml:id="echoid-s4384" xml:space="preserve">per-<lb/>chè potete oramai dire, che, eſſendo le due poten-<lb/>ze ſeparate, ognuna di loro agiſce più; </s>
  <s xml:id="echoid-s4385" xml:space="preserve">et eſſendo <lb/>congiunte, ognuna agiſce meno; </s>
  <s xml:id="echoid-s4386" xml:space="preserve">e così maggiore <lb/>velocità producono, eſſendo ſeparate, che non fan-<lb/>no, eſſendo congiunte. </s>
  <s xml:id="echoid-s4387" xml:space="preserve">Io potrei dir queſto, riſ-<lb/>poſi; </s>
  <s xml:id="echoid-s4388" xml:space="preserve">e s’ io il diceſſi, non ſo, che alcuno poteſſe <lb/>rimproverarmi di avere indotto diſuguaglianza tra <lb/>l’azione e l’effetto. </s>
  <s xml:id="echoid-s4389" xml:space="preserve">Ma io non voglio privare il teo-<lb/>rema meccanico dell’ onore, che alcuni gli fanno, d’ <lb/>una ſpiegazione più lunga. </s>
  <s xml:id="echoid-s4390" xml:space="preserve">E ciò dicendo, preſi un <lb/>ſoglio in mano, in cui diſegnai toſto la ſigura ſe-<lb/>
<anchor type="note" xlink:label="note-0326-01a" xlink:href="note-0326-01"/>
ſta, che fu ſubito ricopiata dagli altri. </s>
  <s xml:id="echoid-s4391" xml:space="preserve">Poi diſſi: <lb/></s>
  <s xml:id="echoid-s4392" xml:space="preserve">ſieno AB, AC le due potenze, che ſpingono il cor-<lb/>po A, con le direzioni delle ſteſſe linee AB, AC;</s>
  <s xml:id="echoid-s4393" xml:space="preserve">
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e ſia AD quella linea, che egli ſcorre ſecondo il <lb/>parer dei meccanici. </s>
  <s xml:id="echoid-s4394" xml:space="preserve">Poco vi vuole a intendere.</s>
  <s xml:id="echoid-s4395" xml:space="preserve">, <lb/>che l’ azione della potenza AB, la qual da ſe ſola <lb/>produrrebbe nel corpo la velocità AB, ſi riſolva <lb/>in due AT, AM, eſpreſſe dai lati del parallelo-<lb/>grammo AB; </s>
  <s xml:id="echoid-s4396" xml:space="preserve">e che l’ azione della potenza AC ſi <lb/>riſolva ſimilmente nelle due AQ, AN, eſpreſſe dai <lb/>lati del parallelogrammo AC. </s>
  <s xml:id="echoid-s4397" xml:space="preserve">Qui il Signor D. <lb/></s>
  <s xml:id="echoid-s4398" xml:space="preserve">Felice, interrompendomi, vedete, diſſe, che volgen-<lb/>do la compoſizione del moto in due riſoluzioni, <lb/>non ricadiate in qualche diſuguaglianza tra l’ azio-<lb/>ne e l’ effetto, perchè quelli, che temono di cader-<lb/>vi nella compoſizione, non lo temono meno nella <lb/>riſoluzione. </s>
  <s xml:id="echoid-s4399" xml:space="preserve">Che altro voglio io, riſpoſi, qualor <lb/>riſolvo l’ azione AB della potenza AB nelle due <lb/>AT, AM, ſe non, che la ſteſſa potenza, che av-<lb/>rebbe fatta un’ azion ſola AB, paſſi a farne due. </s>
  <s xml:id="echoid-s4400" xml:space="preserve"><lb/>AT, AM? </s>
  <s xml:id="echoid-s4401" xml:space="preserve">le quali veramente preſe inſieme ſon. </s>
  <s xml:id="echoid-s4402" xml:space="preserve"><lb/>maggiori dell’ azione AB. </s>
  <s xml:id="echoid-s4403" xml:space="preserve">Ma queſto che altro è, <lb/>ſe non dire, che la potenza ſteſſa agiſce ora meno, <lb/>et ora più? </s>
  <s xml:id="echoid-s4404" xml:space="preserve">nel che niun può dire, che inducaſi <lb/>diſuguaglianza tra effetto ed azione; </s>
  <s xml:id="echoid-s4405" xml:space="preserve">anzi eſsend@ <lb/>le tre azioni, di cui parliamo, proporzionali alle <lb/>linee AB, AT, AM, a cui pure ſon proporziona-<lb/>li le velocità, chiaramente ſi vede, le azioni fin-<lb/>quì eſser proporzionali agli effetti, ſolo che per ef-<lb/>fetti vogliano intenderſi le velocità ſteſse. </s>
  <s xml:id="echoid-s4406" xml:space="preserve">Ne me-<lb/>no ſarà da temerſi, che naſca diſuguaglianza tra <lb/>effetto ed azione, ſe io dirò, che le quattro azio-<lb/>ni, in cui ſi riſolvon le due AB, AC, così ſi diſ-
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pongono, che due di loro AT, AQ, eſsendo <lb/>contrarie l’ una all’ altra et eguali, ſi diſtruggano; <lb/></s>
  <s xml:id="echoid-s4407" xml:space="preserve">le altre due AM, AN prendano una medeſima di-<lb/>rezione. </s>
  <s xml:id="echoid-s4408" xml:space="preserve">Perciocchè che entra qui l’ azione e l’ ef-<lb/>fetto, l’ uguaglianza o la diſuguaglianza? </s>
  <s xml:id="echoid-s4409" xml:space="preserve">baſta <lb/>bene, che le due azioni AM, AN producano un’ <lb/>effetto proporzion le alla lor ſomma; </s>
  <s xml:id="echoid-s4410" xml:space="preserve">giacchè dal-<lb/>le azioni AT, AQ, che ſi diſtruggono, non è da <lb/>aſpettarſi certamente effetto niuno; </s>
  <s xml:id="echoid-s4411" xml:space="preserve">ne è alcun <lb/>metaſiſico, che il richiedeſſe. </s>
  <s xml:id="echoid-s4412" xml:space="preserve">Ora ſe le due azioni <lb/>AM, AN, traendo il corpo per la direzion loro, <lb/>producono in eſſo una velocità proporzionale al-<lb/>la lor ſomma; </s>
  <s xml:id="echoid-s4413" xml:space="preserve">non lo traggon dunque per AD, <lb/>diagonale del parallelogrammo BC, come vogliono <lb/>i meccanici; </s>
  <s xml:id="echoid-s4414" xml:space="preserve">e non producono una velocità propor-<lb/>zionale alla ſteſſa AD? </s>
  <s xml:id="echoid-s4415" xml:space="preserve">E ſe così è, eccovi, che io <lb/>ho ſpiegato il teorema dei meccanici, prendendo la <lb/>velocità come effetto dell’ azione; </s>
  <s xml:id="echoid-s4416" xml:space="preserve">e ſenza cadere <lb/>in quella diſuguaglianza, che voitemevate. </s>
  <s xml:id="echoid-s4417" xml:space="preserve">Eſſen-<lb/>domi io quì fermato un poco, il Signor Marche-<lb/>ſe di Campo Hermoſo, e come, diſſe, dimoſtrate <lb/>voi le due coſe, che avete ultimamente dette: </s>
  <s xml:id="echoid-s4418" xml:space="preserve">cioè <lb/>che le azioni AM, AN ſpingendo il corpo con <lb/>la direzion loro, lo ſpingano per la diagonale <lb/>del paralellogrammo BC: </s>
  <s xml:id="echoid-s4419" xml:space="preserve">e che producendo in eſſo <lb/>una velocità proporzionale alla lor ſomma, ſia que-<lb/>ſta poi proporzionale alla diagonale ſteſſa? </s>
  <s xml:id="echoid-s4420" xml:space="preserve">Et io al-<lb/>lora, fate, diſſi, Signor Marcheſe, di prolungare la li-<lb/>nea AN fino in D, così che ſia ND eguale ad AM, <lb/>e perciò ſia ancora tutta la linea AD eguale alla.</s>
  <s xml:id="echoid-s4421" xml:space="preserve">
<pb o="305" file="0329" n="329" rhead="LIBRO III."/>
ſomma delle due AM, AN; </s>
  <s xml:id="echoid-s4422" xml:space="preserve">indi guidate le due <lb/>linee DB, DC. </s>
  <s xml:id="echoid-s4423" xml:space="preserve">Ciò poſto, io chieggo: </s>
  <s xml:id="echoid-s4424" xml:space="preserve">le due <lb/>linee AT, AQ non eſprimono eſſe due azioni <lb/>tra ſe contrarie, et eguali, e inſieme le direzioni <lb/>loro? </s>
  <s xml:id="echoid-s4425" xml:space="preserve">Così abbiamo ſuppoſto, diſse il Sig. </s>
  <s xml:id="echoid-s4426" xml:space="preserve">Mar-<lb/>cheſe. </s>
  <s xml:id="echoid-s4427" xml:space="preserve">Saranno dunque, ripigliai io, eguali tra lo-<lb/>ro, e in dirittura l’ una dell’ altra. </s>
  <s xml:id="echoid-s4428" xml:space="preserve">Così è, riſpo-<lb/>ſe egli. </s>
  <s xml:id="echoid-s4429" xml:space="preserve">Et io: </s>
  <s xml:id="echoid-s4430" xml:space="preserve">ſaranno dunque le linee MB, NC <lb/>parallele et eguali tra loro, eſſendo l’ una paralle-<lb/>la et eguale ad AT, e l’ altra parallela et eguale ad <lb/>AQ. </s>
  <s xml:id="echoid-s4431" xml:space="preserve">Allora il Sig. </s>
  <s xml:id="echoid-s4432" xml:space="preserve">Marcheſe ſenza laſciarmi più <lb/>dire, intendo già, diſſe, ogni coſa; </s>
  <s xml:id="echoid-s4433" xml:space="preserve">che eſſendo i <lb/>triangoli AMB, CND ſimili tra loro et eguali, ſa-<lb/>ranno gli angoli BAD, CDA eguali, e le due li-<lb/>nee AB, DC eguali e parallele; </s>
  <s xml:id="echoid-s4434" xml:space="preserve">dunque ancor le <lb/>due AC, DB; </s>
  <s xml:id="echoid-s4435" xml:space="preserve">dunque ſarà BC un parallelogram-<lb/>mo, la cui diagonale ſarà AD, eguale alla ſomma <lb/>delle due linee AM, AN. </s>
  <s xml:id="echoid-s4436" xml:space="preserve">Vedete dunque, ſog-<lb/>giunſi io allora, che le due azioni AM, AN, <lb/>ſpingendo il corpo con la direzion loro, lo ſpin-<lb/>gono per la diagonale ſteſſa del parallelogrammo <lb/>BC, come vogliono i meccanici. </s>
  <s xml:id="echoid-s4437" xml:space="preserve">E vedete ancora, <lb/>che producendo nel corpo una velocità propor-<lb/>zionale alla lor ſomma, vien queſta ad eſſere pro-<lb/>porzionale alla diagonale ſteſſa. </s>
  <s xml:id="echoid-s4438" xml:space="preserve">Con che viene a <lb/>ſoddisſarſi ai meccanici, ſenza guaſtare quella per-<lb/>fettiſſima uguaglianza, che tra l’ azione e l’ effet-<lb/>to vogliono i metaſiſici; </s>
  <s xml:id="echoid-s4439" xml:space="preserve">ne v’ è biſogno di forza <lb/>viva. </s>
  <s xml:id="echoid-s4440" xml:space="preserve">Tutto va bene, diſſe quivi il Signor Conte <lb/>della Cueva; </s>
  <s xml:id="echoid-s4441" xml:space="preserve">ma non potete negare, che quel ri-
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ſolverſi d’ una azione in due non reſti anche una <lb/>coſa oſcuriſſima. </s>
  <s xml:id="echoid-s4442" xml:space="preserve">Io non lo nego, riſpoſi; </s>
  <s xml:id="echoid-s4443" xml:space="preserve">ma al-<lb/>tro è, che quel riſolverſi ſia coſa oſcura, altro è, <lb/>che induca diſuguaglianza tra l’ azione e l’effetto; <lb/></s>
  <s xml:id="echoid-s4444" xml:space="preserve">la qual diſuguaglianza ſe noi vogliamo temerla per <lb/>tutto, ove ſia qualche oſcurità, non ſarà luogo <lb/>alcuno in tutta la filoſofia, in cui non la temiamo. </s>
  <s xml:id="echoid-s4445" xml:space="preserve"><lb/>E certo ſe noi non intendiamo per qual ragione, et <lb/>in che modo una potenza diſpoſta a fare un’ azion <lb/>ſola, ſubito ſi rivolga a farne due; </s>
  <s xml:id="echoid-s4446" xml:space="preserve">in che conſiſte <lb/>il riſolverſi; </s>
  <s xml:id="echoid-s4447" xml:space="preserve">ciò proviene dal non ſaper noi, che co-<lb/>ſa ſieno le potenze in lor medeſime, ne come agi-<lb/>ſcano, ne quali inſtituti e eoſtumi abbiano. </s>
  <s xml:id="echoid-s4448" xml:space="preserve">Ne po-<lb/>trà filoſoto alcuno, ch’ io ſappia, sfuggire una tale <lb/>oſcurità; </s>
  <s xml:id="echoid-s4449" xml:space="preserve">ne la sfugge a mio giudicio il Padre Ric-<lb/>cati ſteſſo; </s>
  <s xml:id="echoid-s4450" xml:space="preserve">il quale riſolve pure l’azione della po-<lb/>tenza AB nell’azione, che move il corpo per la dia-<lb/>gonale, e nella preſſione, per cui contraſta con la <lb/>potenza AC; </s>
  <s xml:id="echoid-s4451" xml:space="preserve">e ſimilmente riſolve l’ azione della. </s>
  <s xml:id="echoid-s4452" xml:space="preserve"><lb/>potenza AC; </s>
  <s xml:id="echoid-s4453" xml:space="preserve">ne ſo ſe queſta riſoluzione ſi renda. </s>
  <s xml:id="echoid-s4454" xml:space="preserve"><lb/>più chiara col dire, che quella preſſione non ha no-<lb/>me azione. </s>
  <s xml:id="echoid-s4455" xml:space="preserve">Se rimangonſi dunque nella oſcurità i <lb/>meccanici, volendo ſpiegare la compoſizione del <lb/>moto; </s>
  <s xml:id="echoid-s4456" xml:space="preserve">ciò è perchè non ne veggono le cauſe, e i <lb/>principj ultimi, non perchè levin per eſſa quell’ <lb/>uguaglianza, che richieggono i metafiſici; </s>
  <s xml:id="echoid-s4457" xml:space="preserve">ai quali <lb/>ottimamente ſoddisfanno, non potendo però ſod-<lb/>disfare a ſe medeſimi. </s>
  <s xml:id="echoid-s4458" xml:space="preserve">Credete voi, diſſe quivi la. </s>
  <s xml:id="echoid-s4459" xml:space="preserve"><lb/>Signora Principeſſa, che ſieno mai per ſoddisfarſi, <lb/>e conoſcere una volta coteſti principj ultimi? </s>
  <s xml:id="echoid-s4460" xml:space="preserve">Io
<pb o="307" file="0331" n="331" rhead="LIBRO III."/>
non ſo, diſſi, quello, che prometter mi debba dei <lb/>meccanici. </s>
  <s xml:id="echoid-s4461" xml:space="preserve">Parmi bene, che o niuno, il che è più <lb/>da credere, gli conoſcerà, o gli conoſceranno for-<lb/>ſe una volta imetaſiſici, ai quali ſoli è dato di con-<lb/>templar le coſe ſuperiori alla materia. </s>
  <s xml:id="echoid-s4462" xml:space="preserve">E vi par’ e-<lb/>gli, diſſe allora la Signora Principeſſa, che quella <lb/>virtù, che move i corpi, ſia tanto ſuperiore alla. <lb/></s>
  <s xml:id="echoid-s4463" xml:space="preserve">materia, che non poſſano ſperar di conoſcerla an-<lb/>che i ſiſici? </s>
  <s xml:id="echoid-s4464" xml:space="preserve">Io l’ ho, riſpoſi, per tanto ſuperiore, <lb/>ch’ io non credo, lei eſſer corpo in niun modo, e <lb/>la ripongo in un’ ordine molto più nobile, e più <lb/>ſublime. </s>
  <s xml:id="echoid-s4465" xml:space="preserve">Di che è anche argomento il vedere, che <lb/>i fiſici non ne cercano gran fatto la natura, e quaſi <lb/>non ſi arriſchiano di diſputarne. </s>
  <s xml:id="echoid-s4466" xml:space="preserve">I metafiſici ſono <lb/>più animoſi. </s>
  <s xml:id="echoid-s4467" xml:space="preserve">E ſono anche, diſſe la Signora Prin-<lb/>cipeſſa quaſi ridendo, più oſcuri, e ſi perdono die-<lb/>tro a quiſtioni inutili. </s>
  <s xml:id="echoid-s4468" xml:space="preserve">Non dite: </s>
  <s xml:id="echoid-s4469" xml:space="preserve">riſpoſi; </s>
  <s xml:id="echoid-s4470" xml:space="preserve">perchè <lb/>s’ io v’ entraſſi nelle utilità grandiſſime e moltiſſi-<lb/>me della metaſiſica, non ſo, qual fine poteſſi por-<lb/>re al mio ragionare. </s>
  <s xml:id="echoid-s4471" xml:space="preserve">Che oltre che tutte le ſcienze <lb/>hanno tolto i loro principj dalla metafiſica, ne ſi <lb/>tengon certe e ſicure, ſe non quanto ſeguono quel-<lb/>li; </s>
  <s xml:id="echoid-s4472" xml:space="preserve">voi potete anche facilmente vedere, quanto el-<lb/>la largamente ſi eſtenda in quello ſtudio, che ap-<lb/>part: </s>
  <s xml:id="echoid-s4473" xml:space="preserve">ene alla vita et ai coſtumi, moſtrandoci la <lb/>bellezza della virtù, nel che i fiſici non hanno par-<lb/>te alcuna, e ſcorgendoci alla vera felicità. </s>
  <s xml:id="echoid-s4474" xml:space="preserve">E la <lb/>giuriſprudenza, e la teologia, e tutte quell’ al-<lb/>tre diſcipline, in cui contengonſi o il gover-<lb/>no delle famiglie, o il reggimento dei popoli, o
<pb o="308" file="0332" n="332" rhead="DELLA FORZA DE’ CORPI"/>
la religione, o la pietà, o la fede, non vi par’ egli, <lb/>che più toſto l’ acutezza deſiderino dei metafiſici, <lb/>che le eſperienze e le oſſervazioni degli altri? </s>
  <s xml:id="echoid-s4475" xml:space="preserve">E que-<lb/>ſta iſteſſa algebra, che tanto vi piace, e queſta mec-<lb/>canica, e queſta fiſica, quante volte, traendoci d’ <lb/>una ragione in un’ altra, e ſalir faccendoci verſo i <lb/>principj ultimi, eſigon da noi e ricercano tanta <lb/>ſottigliezza, quanta apprendere non ſi potrebbe ſe <lb/>non dai metafiſici! I quali ſe entrar voleſſero in <lb/>quelle ricerche medeſime, e ripigliarſi tutte le qui-<lb/>ſtioni, che le altre ſcienze hanno loro involate, <lb/>quanto ſarebbon più ricchi! come queſta è della <lb/>forza viva, di cui tanto oggi s’ è ragionato: </s>
  <s xml:id="echoid-s4476" xml:space="preserve">la qua-<lb/>le era dei metafiſici, ſe non ſe l’ aveſsero i mate-<lb/>matici uſurpata. </s>
  <s xml:id="echoid-s4477" xml:space="preserve">Perchè vedete, quanto ingiuſta-<lb/>mente riprendano la metafiſica, come inutile, quel-<lb/>li, che togliendole le quiſtioni più utili, non le <lb/>laſciano ſe non le vane; </s>
  <s xml:id="echoid-s4478" xml:space="preserve">ſebbene queſte iſteſſe non <lb/>ſon così vane, come eſſi credono, e ſervono aſſai <lb/>ſovente, e fanno ſtrada alle non vane. </s>
  <s xml:id="echoid-s4479" xml:space="preserve">Ne è da diſ-<lb/>prezzar tanto la metafiſica, quanto alcuni fanno, <lb/>per cagione della oſcurità. </s>
  <s xml:id="echoid-s4480" xml:space="preserve">Quale ſcienza è, che <lb/>accoſtandoſi alle quiſtioni ſue più ſublimi, e più <lb/>ingegnoſe, e più belle, non ſia oſcura, o non di-<lb/>venga? </s>
  <s xml:id="echoid-s4481" xml:space="preserve">che ſe la metafiſica par tutta oſcura, ciò in-<lb/>terviene, perchè è tutta ingegnoſa, e tutta bella. <lb/></s>
  <s xml:id="echoid-s4482" xml:space="preserve">Sebbene qual coſa più chiara, e più manifeſta, e <lb/>più riſplendente dei principj metafiſici? </s>
  <s xml:id="echoid-s4483" xml:space="preserve">i quali <lb/>traggono prima a conſeguenze certiſſime, ſpargen-<lb/>dole di un chiariſſimo e maraviglioſo lume; </s>
  <s xml:id="echoid-s4484" xml:space="preserve">venen-
<pb o="309" file="0333" n="333" rhead="LIBRO III."/>
do poi a quelle coſe, che la natura ci ha voluto <lb/>naſcondere, non vi recano eſſi l’ oſcurità, ma ve la <lb/>laſciano; </s>
  <s xml:id="echoid-s4485" xml:space="preserve">e in queſto ſteſſo non ſon meno utili. <lb/></s>
  <s xml:id="echoid-s4486" xml:space="preserve">Perchè ſe dalle coſe, che chiaramente intendiamo, <lb/>paſſiamo con l’ animo alla grandezza di quel Dio, <lb/>che le contiene e le fa, (nel che è poſto il maggior <lb/>frutto, che trar ſi poſſa da noſtri ſtudj) quanto <lb/>più dalle coſe, che non intendiamo? </s>
  <s xml:id="echoid-s4487" xml:space="preserve">le quali quan-<lb/>to più ſon lontane dalla noſtra ragione, e ſuperio-<lb/>ri ad ogni umano intelletto, tanto più moſtrano l’ <lb/>imperſcrutabil ſapienza, e la potenza infinita di <lb/>quel principio, da cui ſi partono. </s>
  <s xml:id="echoid-s4488" xml:space="preserve">O metafiſica <lb/>lume dell’ intelletto, ſcorta della ragione, divina <lb/>e celeſtial maeſtra di tutte le coſe: </s>
  <s xml:id="echoid-s4489" xml:space="preserve">per te ſcopron <lb/>le ſcienze i lor principj, per te ſi dirigono le a-<lb/>zioni e gli ufficj degli uomini, per te ſi apprendo-<lb/>no i coſtumi e le leggi. </s>
  <s xml:id="echoid-s4490" xml:space="preserve">Tu innalzi gli animi uma-<lb/>ni a quella altezza, a cui ſenza te giungere non <lb/>potrebbono; </s>
  <s xml:id="echoid-s4491" xml:space="preserve">e traendoli ſoavemente con la forza <lb/>ineſplicabile della tua chiariſſima luce, fai lor co-<lb/>noſcere il primo vero; </s>
  <s xml:id="echoid-s4492" xml:space="preserve">e ſe gli laſci traſcorrer tal-<lb/>volta nella oſcurità, e nelle tenebre, fra quelle te-<lb/>nebre iſteſſe moſtri loro un’ incerto lume, che pur <lb/>gli guida a felicità. </s>
  <s xml:id="echoid-s4493" xml:space="preserve">E quando mai ſaranno gli uo-<lb/>mini degni di conoſcerti? </s>
  <s xml:id="echoid-s4494" xml:space="preserve">Beato colui, che te ſe-<lb/>guendo può ſollevarſi ſopra le coſe terrene, e ve-<lb/>nir teco a parte delle celeſti. </s>
  <s xml:id="echoid-s4495" xml:space="preserve">Sarei io degno di tan-<lb/>to dono? </s>
  <s xml:id="echoid-s4496" xml:space="preserve">Qui la Signora Principeſſa, ſcuotetelo, <lb/>diſſe, che egli va in eſtaſi. </s>
  <s xml:id="echoid-s4497" xml:space="preserve">Che è ciò, diſſi io <lb/>allora, che voi dite? </s>
  <s xml:id="echoid-s4498" xml:space="preserve">E’ parea proprio, riſpo-
<pb o="310" file="0334" n="334" rhead="DELLA FORZA DE’ CORPI"/>
ſe la Signora Principeſſa, che una qualche idea <lb/>di Platone vi aveſse altrove rapito. </s>
  <s xml:id="echoid-s4499" xml:space="preserve">Et io, niu-<lb/>na coſa, riſpoſi, potrebbe rapirmi altrove, eſſendo <lb/>voi preſente. </s>
  <s xml:id="echoid-s4500" xml:space="preserve">Di che ella ſorriſe. </s>
  <s xml:id="echoid-s4501" xml:space="preserve">E già cominciava <lb/>il cielo a biancheggiare dalla parte del levante, eſ-<lb/>ſendoſi la luna nel ponente naſcoſta; </s>
  <s xml:id="echoid-s4502" xml:space="preserve">quando le <lb/>grida dei marinari, apparecchianti le barche al lor <lb/>cammino, ci avviſarono dell’ aurora ſopravvegnen-<lb/>te. </s>
  <s xml:id="echoid-s4503" xml:space="preserve">Allora la Signora Principeſſa in piè levandoſi, <lb/>tempo è, diſſe, di por fine ai noſtri ragionamen-<lb/>ti. </s>
  <s xml:id="echoid-s4504" xml:space="preserve">Indi verſo me volta, voi, ſoggiunſe, avete oggi <lb/>ſoſtenuta per amor mio una gran fatica; </s>
  <s xml:id="echoid-s4505" xml:space="preserve">ma l’ ave-<lb/>te fatto con tanto mio piacere, e credo ancora di <lb/>queſti Signori, ch’ io non poſſo pentirmi di averla-<lb/>vi impoſta. </s>
  <s xml:id="echoid-s4506" xml:space="preserve">Et io riſpoſi: </s>
  <s xml:id="echoid-s4507" xml:space="preserve">piacemi, che le ragioni, <lb/>che io ho dette, abbiano potuto tanto; </s>
  <s xml:id="echoid-s4508" xml:space="preserve">e ſe voi le <lb/>avete per vere, poco mi curerò, ſe mi ſaran nega-<lb/>te da queſti altri. </s>
  <s xml:id="echoid-s4509" xml:space="preserve">Io non dico di averle per vere, <lb/>riſpoſe la Signora Principeſſa ſorridendo; </s>
  <s xml:id="echoid-s4510" xml:space="preserve">dico, <lb/>che mi ſono grandemente piaciute; </s>
  <s xml:id="echoid-s4511" xml:space="preserve">ma voi le a-<lb/>vete con tanto ſtudio e con tanta arte adornate, <lb/>che mi è nato nell’ animo qualche ſoſpetto. </s>
  <s xml:id="echoid-s4512" xml:space="preserve">For-<lb/>ſe non le ha per vere, diſſe allora il Signor D. </s>
  <s xml:id="echoid-s4513" xml:space="preserve">Se-<lb/>rao, ne egli pure. </s>
  <s xml:id="echoid-s4514" xml:space="preserve">E già la Signora Principeſſa, di-<lb/>cendoſi queſte coſe, giunta era alla porta delle <lb/>ſue ſtanze, dove ſalutando tutti con molta grazia <lb/>ci licenziò. </s>
  <s xml:id="echoid-s4515" xml:space="preserve">Noi tratti dalla dolcezza di una ſoa-<lb/>viſſima aura, che allora a ſpirar cominciava, <lb/>uſcimmo nel giardino, dove al grato ſuſurro, che <lb/>@e foglie degli alberi lievemente ſcoſse facevano,
<pb o="311" file="0335" n="335" rhead="LIBRO III."/>
s’ aggiunſe toſto il canto de’ vaghi augelli, ſveglia-<lb/>tiſi a ſalutar l’ aurora, che già naſcea. </s>
  <s xml:id="echoid-s4516" xml:space="preserve">E quivi do. <lb/></s>
  <s xml:id="echoid-s4517" xml:space="preserve">po aver paſſeggiato alquanto, ragionando chi di <lb/>una coſa, e chi di un’ altra, preſo finalmente l’ un <lb/>dall’ altro commiato, n’ andammo a dormire, eſ-<lb/>ſendo oramai ſparite tutte le ſtelle, toltone la bel-<lb/>la governatrice del terzo cielo.</s>
  <s xml:id="echoid-s4518" xml:space="preserve"/>
</p>
<div xml:id="echoid-div9" type="float" level="2" n="1">
<note position="right" xlink:label="note-0275-01" xlink:href="note-0275-01a" xml:space="preserve">F. IV.</note>
<note position="left" xlink:label="note-0306-01" xlink:href="note-0306-01a" xml:space="preserve">F.V.</note>
<note position="left" xlink:label="note-0326-01" xlink:href="note-0326-01a" xml:space="preserve">F. VI.</note>
</div>
</div>
<div xml:id="echoid-div11" type="section" level="1" n="8">
<head xml:id="echoid-head19" xml:space="preserve">IL FINE.</head>
<pb file="0336" n="336"/>
<p style="it">
  <s xml:id="echoid-s4519" xml:space="preserve">Vidit D. </s>
  <s xml:id="echoid-s4520" xml:space="preserve">Salvator Corticelli Clericus Regularis Sancti Pauli, <lb/>&amp; </s>
  <s xml:id="echoid-s4521" xml:space="preserve">in Eccleſia Metropolitana Bononiæ<unsure/> Pænitentiarius pro <lb/>Sanctiſſimo Domino noſtro Papa Benedicto XIV. </s>
  <s xml:id="echoid-s4522" xml:space="preserve">Arcbiepi-<lb/>ſcopo Bononiæ<unsure/>.</s>
  <s xml:id="echoid-s4523" xml:space="preserve"/>
</p>
</div>
<div xml:id="echoid-div12" type="section" level="1" n="9">
<head xml:id="echoid-head20" xml:space="preserve">Die 13. Novembris 1751.</head>
<p style="it">
  <s xml:id="echoid-s4524" xml:space="preserve">P. </s>
  <s xml:id="echoid-s4525" xml:space="preserve">Fr. </s>
  <s xml:id="echoid-s4526" xml:space="preserve">Dionyſius Remedelli S. </s>
  <s xml:id="echoid-s4527" xml:space="preserve">Tbeologia Magiſter, Græcæ lin-<lb/>guæ Profeſſor videat pro S. </s>
  <s xml:id="echoid-s4528" xml:space="preserve">Officio &amp; </s>
  <s xml:id="echoid-s4529" xml:space="preserve">referat.</s>
  <s xml:id="echoid-s4530" xml:space="preserve"/>
</p>
<p style="it">
  <s xml:id="echoid-s4531" xml:space="preserve">Fr. </s>
  <s xml:id="echoid-s4532" xml:space="preserve">Thomas Maria de Angelis Inquiſitor Generalis <lb/>Bononiæ.</s>
  <s xml:id="echoid-s4533" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s4534" xml:space="preserve">D’ ordine del Reverendiſſimo P. </s>
  <s xml:id="echoid-s4535" xml:space="preserve">Inquiſitore, ho letto atten-<lb/>tamente l’ Opera, che porta per Titolo <emph style="it">DELLA FOR-</emph> <lb/><emph style="it">ZA DE’ CORPI, CHE CHIAMANO VIVA, LIBRI TRE,</emph> <lb/>e non avendo ritrovato in eſſa alcuna coſa contraria al-<lb/>la Santa Fede, ovvero alla Morale Criſtiana; </s>
  <s xml:id="echoid-s4536" xml:space="preserve">ma anzi <lb/>eſſendo ripiena di utiliſſime verità derivate dalla più <lb/>ſublime Metafiſica, poſſeduta mirabilmente dal dottiſſi-<lb/>mo, e grazioſiſſimo Autore; </s>
  <s xml:id="echoid-s4537" xml:space="preserve">ſono di parere, che per <lb/>maggior utile de i buoni Studj debba darſi alle Stam-<lb/>pe. </s>
  <s xml:id="echoid-s4538" xml:space="preserve">E in fede &amp;</s>
  <s xml:id="echoid-s4539" xml:space="preserve">c.</s>
  <s xml:id="echoid-s4540" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s4541" xml:space="preserve">Dal Convento di S. </s>
  <s xml:id="echoid-s4542" xml:space="preserve">Domenico di Bologna 18. </s>
  <s xml:id="echoid-s4543" xml:space="preserve">Novembre <lb/>1751.</s>
  <s xml:id="echoid-s4544" xml:space="preserve"/>
</p>
<p style="it">
  <s xml:id="echoid-s4545" xml:space="preserve">Fr. </s>
  <s xml:id="echoid-s4546" xml:space="preserve">Dioniſio Remedelli dell’ Ordine de Predicatori <lb/>M. </s>
  <s xml:id="echoid-s4547" xml:space="preserve">D. </s>
  <s xml:id="echoid-s4548" xml:space="preserve">S. </s>
  <s xml:id="echoid-s4549" xml:space="preserve">T. </s>
  <s xml:id="echoid-s4550" xml:space="preserve">e Profeßore della lingua Greca.</s>
  <s xml:id="echoid-s4551" xml:space="preserve"/>
</p>
</div>
<div xml:id="echoid-div13" type="section" level="1" n="10">
<head xml:id="echoid-head21" xml:space="preserve">Die 20. Novembris 1751.</head>
<p>
  <s xml:id="echoid-s4552" xml:space="preserve">Stante præmiſſa atteſtatione.</s>
  <s xml:id="echoid-s4553" xml:space="preserve"/>
</p>
</div>
<div xml:id="echoid-div14" type="section" level="1" n="11">
<head xml:id="echoid-head22" xml:space="preserve">IMPRIMATUR.</head>
<p style="it">
  <s xml:id="echoid-s4554" xml:space="preserve">Fr. </s>
  <s xml:id="echoid-s4555" xml:space="preserve">Cçſar Antoninus Velaſti Provicarius Sancti Officii Bono-<lb/>niæ.</s>
  <s xml:id="echoid-s4556" xml:space="preserve"/>
</p>
<pb file="0336a" n="337"/>
  <figure>
    <image file="0336a-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0336a-01"/>
  </figure>
<pb file="0337" n="338"/>
<pb file="0338" n="339"/>
<pb file="0339" n="340"/>
<pb file="0340" n="341"/>
<pb file="0341" n="342"/>
</div>
<div xml:id="echoid-div15" type="section" level="1" n="12">
<head xml:id="echoid-head23" xml:space="preserve">PAOLO SACCHI</head>
<head xml:id="echoid-head24" style="it" xml:space="preserve">Libreria Antiquaria Ippogrifo</head>
<p>
  <s xml:id="echoid-s4557" xml:space="preserve">METAFISICA</s>
</p>
<p>
  <s xml:id="echoid-s4558" xml:space="preserve">ZANOTTI Francesco Maria</s>
</p>
<p>
  <s xml:id="echoid-s4559" xml:space="preserve">Della forza de’ corpi che chiamano vita. </s>
  <s xml:id="echoid-s4560" xml:space="preserve">Libri tre del signor F. </s>
  <s xml:id="echoid-s4561" xml:space="preserve">M. <lb/></s>
  <s xml:id="echoid-s4562" xml:space="preserve">Zanotti al sig. </s>
  <s xml:id="echoid-s4563" xml:space="preserve">Giambattista Morgagni.</s>
  <s xml:id="echoid-s4564" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s4565" xml:space="preserve">Bologna, Piffari C. </s>
  <s xml:id="echoid-s4566" xml:space="preserve">Primodi G. </s>
  <s xml:id="echoid-s4567" xml:space="preserve">F.</s>
  <s xml:id="echoid-s4568" xml:space="preserve">, 1752.</s>
  <s xml:id="echoid-s4569" xml:space="preserve"/>
</p>
<p>
  <s xml:id="echoid-s4570" xml:space="preserve">In 8°, pp. </s>
  <s xml:id="echoid-s4571" xml:space="preserve">XX + 312 + 1 tavola p.</s>
  <s xml:id="echoid-s4572" xml:space="preserve">v.</s>
  <s xml:id="echoid-s4573" xml:space="preserve">r. </s>
  <s xml:id="echoid-s4574" xml:space="preserve">in fine con fig. </s>
  <s xml:id="echoid-s4575" xml:space="preserve">geometriche. <lb/></s>
  <s xml:id="echoid-s4576" xml:space="preserve">Bella marca tipografica al frontespizio, capilettera incisi. </s>
  <s xml:id="echoid-s4577" xml:space="preserve">Legatura <lb/>in mezza pelle moderna con titolo oro al dorso. </s>
  <s xml:id="echoid-s4578" xml:space="preserve">Esemplare in barbe <lb/>con leggerissime tracce d’uso. </s>
  <s xml:id="echoid-s4579" xml:space="preserve">Edizione ooriginale per l’accurata <lb/>forma dialogica e la correttissima forma italiana è anche un <lb/>apprezzato testo di lingua Cfr. </s>
  <s xml:id="echoid-s4580" xml:space="preserve">Gamba, 2511; </s>
  <s xml:id="echoid-s4581" xml:space="preserve">Riccardi, I.</s>
  <s xml:id="echoid-s4582" xml:space="preserve">658. </s>
  <s xml:id="echoid-s4583" xml:space="preserve">Cfr. </s>
  <s xml:id="echoid-s4584" xml:space="preserve"><lb/>Graesse, VII 506. </s>
  <s xml:id="echoid-s4585" xml:space="preserve">2004101</s>
</p>
</div>
<div xml:id="echoid-div16" type="section" level="1" n="13">
<head xml:id="echoid-head25" xml:space="preserve">PAOLO SACCHI</head>
<p>
  <s xml:id="echoid-s4586" xml:space="preserve">Via della Vigna Nuova, 5r</s>
</p>
<p>
  <s xml:id="echoid-s4587" xml:space="preserve">50123 Firenze - ITALIA - Tel. </s>
  <s xml:id="echoid-s4588" xml:space="preserve">e fax 055 290805</s>
</p>
<p>
  <s xml:id="echoid-s4589" xml:space="preserve">e-mail:</s>
  <s xml:id="echoid-s4590" xml:space="preserve">sacchi@dada.</s>
  <s xml:id="echoid-s4591" xml:space="preserve">it</s>
</p>
<pb file="0342" n="343"/>
  </div></text>
</echo>