Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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391 - 420
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528
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portione, quam partes rotæ ſolidę agitantur, vt
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dictũ
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eſt; vt
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autẽ
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<
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verũ
">verum</
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ſit nullam
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abbr
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particulã
">particulam</
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corporis mollis
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carere hac paſſione mollitiei, neceſsè eſt, vt ſemper
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ei conueniat mollitiei definitio, ſcilicèt ſemper quę
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libet eius partes moueri queant, illo inæquali, & di
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uerſo motu à cæteris contiguis; cumque contiguæ e
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iuſdem concreti partes non poſſint diuerſis, & omni
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bus inæqualibus motionibus agitari, niſi ſint diſſectę,
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& inter ſe diuiſæ actu; ergo nulla particula mollis
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corporis aſſignari poteſt, quæ non ſit ſubdiuiſa actu
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in plures alias particulas, quare numquam perueniri
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poterit ad finem enumerationis multitudinis parti
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cularum actu diuiſarum in prædicto
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abbr
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cõpoſito
">compoſito</
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>
molli,
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& ideò talis multitudo maior erit
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abbr
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quocũque
">quocunque</
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numero,
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ſcilicèt maior erit quacumque finita quantitate: igi
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tur infinita erit. </
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<
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">At infinitæ partes ſi eſſent quantæ
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actu diuiſæ
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abbr
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cõponerent
">componerent</
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extenſionem infinitam; ergo
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quodlibet exiguum corpus eſſet infinitum, quod ſen
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ſus euidentiæ repugnat, ſequitur ergo, quod prædictę
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particulæ infinitæ non quantæ, & proinde puncta
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<
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indiuiſibilia ſint, hoc verò eſt impoſſibile, vt priùs
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oſtenſum eſt; igitur partes molle corpus primum
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abbr
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cõ-ponentes
">con
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ponentes</
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non ſunt molles, ſed aut flexibiles, aut om
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ninò duræ, & rigidæ erunt. </
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De vi per
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cuſs. </
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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Pro. 137.</
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Prop. 135. &
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136.</
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Prop. </
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">134.</
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PROP. CCLXI.
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Eodem progreſſu oſtendemus, quod minimæ partes flexibile
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corpus primum componentes omninò inflexibiles,
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rigidæ, & duræ eſſe debent.
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<
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">NAm ſi hoc verum non eſt, ſint prædictæ primæ </
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