Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

Table of figures

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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. </s>
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              <s id="s.001001">Hiſce præmiſſis, videndum eſt, quo iure tuſeque­
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              lam neges, & monſtres conſequens non rectè, ac para­
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              logiſticè inferri ex antecedente. </s>
              <s id="s.001002">Nam neceſſitas qui­
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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. </s>
              <s id="s.001003">Quod ſanè
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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? </s>
              <s id="s.001004">Scilicet his verbis illud explicas,
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              ſiue
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              enim AB vt coniunctam toti AC conſideres, ſiue vt
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