Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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              <s id="s.001548">
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              da erit. </s>
              <s id="s.001549">Et quia fluidum catenùs motum, quem fluxio­
                <lb/>
              nem vocamus, elicere poteſt, ſcilicèt catenus fluidum
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              eſt quatenùs eius aliquæ partes mouentur cæteris
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              quieſcentibus, vel diuerſis, & inæqualibus motibus
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              agitantur ab ijs, qui competunt duris, & continuis
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              corporibus; ergò ad hoc, vt nulla particula corporis
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              fluidi care at hac paſſione fluiditatis; oportet vt ſem­
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              per ei conueniat fluiditatis definitio, ſcilicèt ſemper
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              quælib et eius pars moueri poſſit cæteris quieſcenti­
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              bus, vel inæqualibus motibus agitentur, quàm ſint il­
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              li, qui duris, & continuis corporibus competunt. </s>
              <s id="s.001550">Sed
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              partes contiguæ eiuſdem maſſæ non poſſunt partim
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              moueri, partim quieſcere, vel inæqualibus motibus
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              agitari diuerſo modo, ac continuis corporibus
                <expan abbr="cõ-">con­
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                </expan>
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              petit, niſi inter ſe ſint diuiſæ, & diſcretæ; igitur nul­
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              la particula fluidi corporis quantumuis exigua aſſi­
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              gnari poteſt, quæ actu diſſecta, & ſubdiuiſa non ſit in
                <lb/>
              plures alias particulas; qua propter nunquam perue­
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              niri poterit ad finem enumerationis multitudinis par­
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              tium eius, & ideò talis multitudo maior erit
                <expan abbr="quocũ-que">quocun­
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                que</expan>
              numero, ſcilicèt maior quacumque quantitatę
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              finita, ergo infinita erit; at infinitæ partes actu diui­
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              ſæ ſi eſſent quantæ ſiue inter ſe æquales, ſiue non, effi­
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              cerent
                <expan abbr="extẽſionem">extenſionem</expan>
              in finitam, ergò ſphęra fluida pal­
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              maris eſſet infinitæ magnitudinis, quod eſt falſum̨,
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              igitur non quantæ, ſed indiuiſibilia puncta erunt; hoc
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              verò eſt quoque impoſſibile, cùm infinita puncta ex­
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              tenſionem quantam nequeant componere: ergò fal­
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              ſum eſt, quòd minimæ particulæ ex quibus fluidum̨ </s>
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