Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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quo percurritur primum ſpatíum AB; </
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<
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percurritur tertio tempore, vt ſingula ſpatia CE. EI. FG. ſingulis in
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ſtantibus percurrantur; </
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<
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id
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">ſed hæc tria inſtantia ſimul ſumpta ſunt æqualia
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primo inſtanti, quo percurritur ſpatium; licèt primum quo percurritur
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CE ſit maius ſecundo, quo percurritur EF, & hoc maius tertio, quo per
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curritur FG, atque ita deinceps. </
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<
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">Obſeruabis poſſe velocitatem motus explicari duobus modis. </
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">Primò,
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ſi aſſumantur tempora æqualia, & ſpatia inæqualia in ea progreſſione,
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quam hactenus explicuimus. </
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<
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id
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">Secundò ſi accipiantur ſpatia æqualia &
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tempora inæqualia, quod duobus modis fieri tantùm poteſt. </
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<
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">Primò ſi ac
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cipiantur ſpatia æqualia primo ſpatio, quod percurritur primo inſtanti. </
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Secundò ſi accipiantur ſpatia æqualia alteri ſpatio, quod in parte tempo
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ris ſenſibili percurritur; </
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<
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id
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">in qua verò proportione tempora fiant ſemper
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minora, 'dicemus infrà; </
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<
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id
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">nec dicas durum eſſe dicere inſtans eſſe poſſe
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minus inſtanti; </
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<
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">nam equidem fateor inſtanti mathematico nihil eſſe
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poſſe minus; </
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<
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id
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">ſecus verò inſtanti phyſico, quod eſt diuiſibile potentiâ, vt
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dicemus aliàs; nomine inſtantis phyſici intelligo durationem indiuiſi
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bilem, hoc eſt, cuius entitas tota ſimul eſt. </
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<
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">Tertia objectio. </
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">Sed inquies, igitur ſecundo tempore æquali primo
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acquiruntur 2.gradus velocitatis, vel impetus; </
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<
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id
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">igitur tria ſpatia ſecun
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do tempore percurruntur, quod eſt contra hypotheſim; </
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<
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">quippe duo gra
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dus impetus accedunt primo, ſimiliter tertio tempore producentur tres
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gradus impetus; </
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<
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">qui ſi iungantur tribus præcedentibus, erunt 6. Igitur
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percurrentur tertio tempore 6. ſpatia, & quarto 10.quinto 15. quia ſin
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gulis inſtantibus debet produci impetus; eſt enim cauſa neceſſaria ap
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plicata. </
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<
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">Reſpondęo, equidem eo inſtanti, quo percurritur ſpatium BD, pro
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duci aliquid impetus, & aliquid eo inſtanti, quo percurritur ſpatium
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DC; </
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<
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">ita vt tamen totus ille impetus, qui producitur his duobus inſtan
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tibus, ſit æqualis illi, qui producitur primo inſtanti, quo ſcilicet percurri
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tur ſpatium AB; </
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<
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id
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">quia duo illa inſtantia ſimul ſumpta faciunt tempus
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æquale primo inſtanti; </
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<
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">atqui temporibus æqualibus eadem cauſa neceſ
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ſaria non impedita æqualem effectum producit per Ax.3.hinc vides ſin
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gulis inſtantibus eadem proportione decreſcere impetum in perfectio
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ne, qua tempus eſt breuius, ſeu velocior motus; ſed de hoc infrà. </
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<
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">Quarta objectio; </
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<
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">ſi impetus ſingulis inſtantibus creſceret, vel intende
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retur, augeretur grauitatio: </
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<
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">quippe ſi grauitas primo inſtanti producat
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vnum gradum impetus; </
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<
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">ſecundo æqualem producet, & tertio, atque ita
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deinceps, quod eſſet abſurdum; alioqui minima atomus quodlibet cor
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pus graue adæquaret, quod eſt abſurdum. </
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<
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">Reſpondeo nunquam impetum intendi, niſi ſit motus, qui eſt illius fi
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nis; </
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">alioquin fruſtra eſſet per plura inſtantia; </
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<
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">igitur deſtrui deberet; </
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<
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dicas impetum naturalem etiam fruſtrà eſſe ſine motu; </
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tus non ſit eius finis adæquatus; </
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">non mirum eſt ſi poſſit eſſe ſine motu; </
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atqui iam diximus ſuprà habere duos fines, quorum alterum ſemper ha-</
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