Fabri, Honoré Tractatus physicus de motu locali 1646

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<p id="N1370C" type="main"> <s id="N1370E"><emph type="center"/><emph type="italics"/>Scholium.<emph.end type="italics"/><emph.end type="center"/><!-- KEEP S--></s> </p>

<p id="N1371A" type="main"> <s id="N1371C"><!-- NEW -->Ob&longs;eruabis prim&ograve;, &longs;ingularem impetus proprietatem, qu&aelig; alijs qua&shy;<lb/>
litatibus minim&egrave; competit; </s> <s id="N13722"><!-- NEW -->nam ali&aelig; qualitates v. <!-- REMOVE S-->g. <!-- REMOVE S-->calor; </s> <s id="N1372A"><!-- NEW -->lumen in <lb/>
eadem di&longs;tantia effectum &longs;emper &aelig;qu&egrave; inten&longs;um producunt; </s> <s id="N13730"><!-- NEW -->&longs;ecus ver&ograve; <lb/>
impetus, qui pro maiori vel minori obice maiorem, vel minorem, hoc <lb/>
e&longs;t inten&longs;iorem, vel remi&longs;&longs;iorem impetum in eadem di&longs;tantia producit; </s> <s id="N13738"><!-- NEW --><lb/>
cuius ratio ex eo capite petitur; </s> <s id="N1373D"><!-- NEW -->qu&ograve;d impetus agat tant&ugrave;m ad extra <lb/>
propter &longs;uum effectum ad intra, vt &longs;cilicet tollat impedimentum; </s> <s id="N13743"><!-- NEW -->igi&shy;<lb/>
tur in totum, quod impedit, agit; </s> <s id="N13749"><!-- NEW -->igitur non habet certam, &amp; deter&shy;<lb/>
minatam &longs;ph&aelig;ram; </s> <s id="N1374F"><!-- NEW -->cum tant&ugrave;m agat in obicem, &longs;iue &longs;it maior, &longs;iue <lb/>
minor: </s> <s id="N13755"><!-- NEW -->Quia ver&ograve; e&longs;t cau&longs;a nece&longs;&longs;aria, &aelig;qualem effectum producit, id <lb/>
e&longs;t tot partes impetus in maiore, quot in minore, ergo, cum in mino&shy;<lb/>
re &longs;int pauciores partes &longs;ubiecti, &amp; plures in maiore; </s> <s id="N1375D"><!-- NEW -->haud dubi&egrave; qu&aelig;li&shy;<lb/>
bet pars minoris habebit plures partes effectus, &amp; qu&aelig;libet pars maio&shy;<lb/>
ris pauciores; igitur effectus erit inten&longs;ior in minore, &amp; remi&longs;&longs;ior in <lb/>
maiore. </s> </p>

<p id="N13767" type="main"> <s id="N13769"><!-- NEW -->Pr&aelig;tere&agrave;, cum dixi omnes partes mobilis actione communi agere ad <lb/>
extra; </s> <s id="N1376F"><!-- NEW -->ita prim&ograve; intelligi debet, vt omnes ill&aelig; partes moueantur: </s> <s id="N13773"><!-- NEW -->&longs;ecun&shy;<lb/>
d&ograve;, vt linea motus, &longs;eu directionis per centra grauitatis vtriu&longs;que glo&shy;<lb/>
bi v, g. <!-- REMOVE S-->ducatur; </s> <s id="N1377D"><!-- NEW -->alioquin, vel omnes actione communi non agunt, vel <lb/>
minus agunt, de quo infr&agrave;; </s> <s id="N13783"><!-- NEW -->&longs;ufficit ver&ograve; iuxta pr&aelig;&longs;ens in&longs;titutum, vt <lb/>
globus ita impellat alium vel &aelig;qualem, vel in&aelig;qualem, vt linea dire&shy;<lb/>
ctionis ducatur per centrum grauitatis alterius; vide figuram. </s> <s id="N1378B">in qua <lb/>
linea directionis e&longs;t DE. </s> </p>

<p id="N13790" type="main"> <s id="N13792"><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 60.<emph.end type="center"/></s> </p>

<p id="N1379E" type="main"> <s id="N137A0"><!-- NEW --><emph type="italics"/>Impetus globi impacti in alium globum eo modo, quo diximus, id est, linea <lb/>
directionis ducta per centra grauitatis vtriu&longs;que producit in eo &aelig;qualem<emph.end type="italics"/>; </s> <s id="N137AB"><!-- NEW -->Pro&shy;<lb/>
batur, quia impetus e&longs;t cau&longs;a nece&longs;&longs;aria, qu&aelig; tunc agit quantum pote&longs;t <lb/>
per Th. 57. &longs;ed &aelig;qualis pote&longs;t producere &aelig;qualem: </s> <s id="N137B3"><!-- NEW -->Probatur prim&ograve;, <lb/>
exemplo aliarum qualitatum; </s> <s id="N137B9"><!-- NEW -->&longs;ecund&ograve;, quia ideo agit vt tollat impedi&shy;<lb/>
mentum, hoc e&longs;t vt corpus illud amoueat loco; </s> <s id="N137BF"><!-- NEW -->igitur &aelig;quali motu per <lb/>
&longs;e; </s> <s id="N137C5"><!-- NEW -->alioquin ni&longs;i &aelig;quali motu amoueret, non tolleret impedimentum, <lb/>
vt pater; </s> <s id="N137CB"><!-- NEW -->terti&ograve; &longs;int 30. partes impetus, cert&egrave; vel producent plures vel <lb/>
pauciores, vel totidem, non plures; </s> <s id="N137D1"><!-- NEW -->cur enim potius 31. quam 32. <lb/>
nec etiam pauciores; cur enim potius 20. quam 18, &amp;c. </s> <s id="N137D7"><!-- NEW -->Igitur totidem; </s> <s id="N137DB"><!-- NEW --><lb/>
quia cum &longs;int plures numeri plurium partium &longs;upra 30. &amp; pauciorum <lb/>
infra vt patet; </s> <s id="N137E2"><!-- NEW -->&longs;itque tant&ugrave;m vnicus numerus &aelig;qualium; </s> <s id="N137E6"><!-- NEW -->cert&egrave; quod <lb/>
vnum e&longs;t, determinatum e&longs;t, per Ax. 5. h&aelig;c ratio lic&egrave;t videatur negati&shy;<lb/>
ua e&longs;t tamen potenti&longs;&longs;ima: </s> <s id="N137EE"><!-- NEW -->quart&ograve;, quia actus &longs;ecundus, re&longs;pondet actui <lb/>
primo, id e&longs;t, effectus productus virtuti cau&longs;&aelig; producentis; </s> <s id="N137F4"><!-- NEW -->itaque cum <lb/>
virtus agendi impetus &longs;it eius entitas, vt patet, cert&egrave; impetus productus <lb/>
e&longs;t per &longs;e &aelig;qualis impetui producenti per &longs;e; id e&longs;t remoto omni <lb/>
impedimento, &amp; facto eo contactu iuxta modum pr&aelig;dictum, ea quo-