Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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tiorum primum conſequentium percurritur. </
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<
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">XXXVIII. </
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<
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s.000700
">Videris itaque imprimis haud abs re
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dixiſſe
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admirabile Paradoxum:
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cùm habuiſti videlicet
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poſterius primæ partis dimidium, vt ſcalam Prototy
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picam, cuius gradibus coæquetur, exquiſitéque men
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ſuretur cæterarum omnium conſequentium duratio;
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tametſi illud eſſe poſſit parte digiti milleſima minus,
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& iſtarum aggeries, quanta eſt tota ſemidiameter
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mundi. </
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<
s
id
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">Non ſanè, quod negem dari lineas, aliaſque
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magnitudines, in quibus arcana prorsùs admiranda,
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& quæ nemo vnquam ſuſpicatus fuiſſet, detegantur à
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Geometris: ſed quod videri iure poſſit penitus incre
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dibile alligaſſe potius naturam ipſa quaſi fatȧ cætera
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rum partiumipſi poſteriori, quàm prioridimidio; imò
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& non tam toti ipſi dimidio, quàm infimo illius pun
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cto, à quo triens, quadrans, cæteræ fractiones debeant
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ſupputari. </
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<
s
id
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s.000702
">Ecquod-nam eſſe enim poteſt illius pri
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uilegium; aut quid-nam admiſſum à priore dimidio
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eſt, vt eo excidiſſe, & pro nihilo reputari iure cenſea
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tur? </
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<
s
id
="
s.000703
">Quid habere
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abbr
="
cõmune
">commune</
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poteſt centeſima, milleſima
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decieſque, & centies milleſima pars
<
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abbr
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cũ
">cum</
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>
poſteriore hoc
<
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dimidio; non habere autem cum illo priore, à quo to
<
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tus motus dependet; non cùm cæteris partibus perinde
<
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ſuccedentibus; non ſaltem cum vicinis, quibuſcum
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proximè cohæret? </
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<
s
id
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">Deinde, ne hac in re hæream, ea
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dem prorsùs incommoda ex triente pro tertia parte,
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ex quadrante pro quarta, atque ita de cæteris, quæ ex
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ipſo dimidio pro ſecunda conſequuntur. </
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<
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id
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">Nam, vt
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rem circa ipſum trientem, partemque tertiam ſolùm
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atringam, Sicuti primùm totam AC in treis diuiſiſti </
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