Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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ceptæ fuerint ſecundum ſe totas in ratione aliqua, poſ
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ſe deinceps illegitimè comparari ſecundum parteis,
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ſi facto æquali partium numero non prima vnius ad
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primam alterius, ſed ad decimam referatur, & vniuersè
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quælibet ad quamlibet ordinis non ſui. </
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lam neges, & monſtres conſequens non rectè, ac para
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logiſticè inferri ex antecedente. </
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dem inferendi ex eo manifeſta eſt, quod Acceleratio
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fieri, aut velocitas creſcere non poſſit æquabiliter per
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totam AC, neque ſimiliter per totam AB, quin ſi ve
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locitas in C dupla ſit velocitatis in B, quælibet partes
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analogæ acceptæ per totam AC, duplæ ſint ad analo
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gas per totam AB: atque ita, quin velocitas mobilis
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deſcendentis per AC ſit perpetuò dupla velocitatis
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eiuſdem mobilis deſcendentis per AB. </
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adeò eſt manifeſtum, vt neipſe quidem negare id po
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tueris, poſtquàm obſeruaſti comparatam primùm à
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me lineam AC diuiſam in duodecim parteis cum
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linea AC diuiſa in ſex, tanquam cum ſeparata, exiſten
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teque, intelligentiæ cauſsâ DE, ac ſubinde intellexi
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ſti eſſe omninò neceſſarium, vt idem mobile, ſi velo
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eitatem in B, ſimplam, in C verò duplam acquirat,
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reperiatur ſimul in fine primæ, & in fine ſecundæ
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duodenarum partium; in fine tertiæ, & in fine ſextæ;
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in fine ſextæ, & in fine duodecimæ; propter analogiam
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ſimplicium partium lineæ AB, & duplicium lineæ AC.
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Ecquid-nam ergo iuris iam habes, vt perneges conſe
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quutionem? </
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ſiue
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enim AB vt coniunctam toti AC conſideres, ſiue vt
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