Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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particulæ componentes corpus flexibile non duræ,
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ſed flexibiles; ergo
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prædictum corpus fle
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xibile numquam deueniemus ad particulam eius,
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quæ rigida ſit, ſed ſemper flecti poterit; & quia cau
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ſa, quare prædictum corpus flectitur, eſt quia aliquę
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eius partes mouentur reliquis quieſcentibus, vel di
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uerſo, & inæquali motu, continuo corpori non com
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petenti, ab eo quo reliquæ contiguæ partes agitan
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tur; nec concipi poſſit nullam particulam flexibilis
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corporis carere hac paſſione flexibilitatis, niſi ſem
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per ei flexibilitatis definitio competat, ſcilicèt niſi
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ſemper quælibet eius particulæ moueri queant inæ
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quali motu diuerſo (& non proprio corporis conti
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nui, & vniti) à cæteris contiguis; & partes contiguæ
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eiuſdem concreti non poſſunt prædictis motibus di
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uerſis agitari, niſi actu diuiſæ inter ſe ſint, ergo nul
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la particula flexibilis corporis aſſignari poteſt, quæ
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actu non ſit ſubdiuiſa in plures alias particulas; qua
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re numquam perueniri poterit ad finem enumerati
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onis multitudinis particularum actu diuiſarum, qua
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propter talis multitudo maior erit quocumque nu
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mero, ideoque infinita erit. </
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<
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infinitæ ſi eſſent quantæ, actu inter ſe diuiſæ compo
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nerent extenſionem infinitam, ergo corpus aliquod
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palmare v.g. infinitam extenſionem haberet, quod
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eſt falſum; non igitur quantæ, ſed puncta indiuiſibi
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lia erunt, quod cum ſit impoſſibile, vt dictum eſt, ſe
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quitur, quod partes flexibile corpus componentes
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non ſint flexibiles, proindeque duræ, & rigidæ eſſe </
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