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

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1
plura differre videntur ab vnico puncto, quandoqui­
dem, tàm ſingulare punctum, quàm eorum multitudo
nullum ſpatium quantum occupant, contra ac contin­
git in vnitatibus, quæ ſimul coniunctæ creant magni­
tudinem numericam, ex quo proinde fit, vt vnitates
meritò partes, & elementa numeri cenſeantur, noņ
verò puncta ipſius ſubſtantiæ quantæ.
Hinc infertur,
quod ſicut ex infinitis cyfris numerus creari non po­
reſt, & ex infinitis non entibus nequit ens confici, ſic
ex infinitis non quantis, quæ nec partes nec elementa
quantitatis ſunt, non poteſt quantum componi; ſunt­
que puncta indiuiſibilia non quanta, nec ſunt partes
aut elementa componentia quantitatem; igitur ex in­
finitis punctis indiuiſibilibus ſubſtantia corporeą
quæ quanta eſt componi, crearique non poterit.
Cap. 7. de
natura flui­
ditatis.
PROP. CXXXV.
Secundo loco oſtenden dum est, quòd partes quantæ
actu infinitæ, & eiuſdem menſuræ com­
ponunt extenſionem infinitam;
SInt partes quantæ A, B, C, D, E, F, G, &c. actu in­
finitæ numero, & æquales inter ſe, dico eas ex­
110[Figure 110]
tenſionem infinitam compone­
re.
ſumatur quælibet quantitas
finita cuiuſlibet vaſtitatis RS
eiuſdem generis cum particulis
A, B, C, &c.
profectò aut RS.
multiplex eſt ipſius A, ſcilicèt

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