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

Table of figures

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              <s id="s.001495">
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              plura differre videntur ab vnico puncto, quandoqui­
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              dem, tàm ſingulare punctum, quàm eorum multitudo
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              nullum ſpatium quantum occupant, contra ac contin­
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              git in vnitatibus, quæ ſimul coniunctæ creant magni­
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              tudinem numericam, ex quo proinde fit, vt vnitates
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              meritò partes, & elementa numeri cenſeantur, noņ
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              verò puncta ipſius ſubſtantiæ quantæ. </s>
              <s id="s.001496">Hinc infertur,
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              quod ſicut ex infinitis cyfris numerus creari non po­
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              reſt, & ex infinitis non entibus nequit ens confici, ſic
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              ex infinitis non quantis, quæ nec partes nec elementa
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              quantitatis ſunt, non poteſt quantum componi; ſunt­
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              que puncta indiuiſibilia non quanta, nec ſunt partes
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              aut elementa
                <expan abbr="componẽtia">componentia</expan>
              quantitatem; igitur ex in­
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              finitis punctis indiuiſibilibus ſubſtantia corporeą
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              quæ quanta eſt componi, crearique non poterit. </s>
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              Cap. 7. de
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              natura flui­
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              ditatis.</s>
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              PROP. CXXXV.
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              Secundo loco oſtenden dum est, quòd partes quantæ
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              actu infinitæ, & eiuſdem menſuræ com­
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              ponunt extenſionem infinitam;
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              <s id="s.001500">SInt partes quantæ A, B, C, D, E, F, G, &c. </s>
              <s id="s.001501">actu in­
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              finitæ numero, & æquales inter ſe, dico eas ex­
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              tenſionem infinitam compone­
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              re. </s>
              <s id="s.001502">ſumatur quælibet quantitas
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              finita cuiuſlibet vaſtitatis RS
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              eiuſdem generis cum particulis
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              A, B, C, &c. </s>
              <s id="s.001503">profectò aut RS.
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              multiplex eſt ipſius A, ſcilicèt </s>
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