Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              per arcum FM, donec vbi AF traducta ſit in AM, tunc enim nulla erit
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              potentia in M propter æquilibrium. </s>
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              <s id="N1D364">Nonò, hinc initio decreſcit in maiori proportione ratione præpon­
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              derantiæ; </s>
              <s id="N1D36A">quia poſita baſi KN, angulus KAN eſt omnium maximus; at
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              verò decreſcit in minori proportione initio ratione ſegmenti horizon­
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              talis AD, in quam cadit perpendicularis. </s>
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            <p id="N1D372" type="main">
              <s id="N1D374">Decimò, ſi ſit rectangulum oblongum horizontale vt AE diffici­
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              liùs attolletur; </s>
              <s id="N1D37A">quia quadratum AF figuræ prioris debet tantùm attolli
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              per arcum FM, vt ſtatuatur in æquilibro; </s>
              <s id="N1D380">at verò rectangulum AE fi­
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              guræ huius attolli debet per arcum EC longè maiorem; </s>
              <s id="N1D386">igitur difficiliùs:
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              porrò potentia in D eſt ad potentiam in F vt AG ad AF, vt conſtat ex
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              dictis. </s>
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            <p id="N1D38E" type="main">
              <s id="N1D390">Vndecimò, denique, ſi ſit rectangulum oblongum, ſed verticale vt
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              HK longè faciliùs attolletur, quia diagonalis HK debet tantùm percur­
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              rere arcum KM vt ſtatuatur in æquilibrio; </s>
              <s id="N1D398">igitur minorem, igitur longè
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              faciliùs; porrò hæc omnia omnibus experimentis conſentiunt, & ex
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              principiis facillimis demonſtrantur. </s>
              <s id="N1D3A0">Hæc paulò fuſiùs proſequutus ſum,
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              quia pertinent ad rationem plani inclinati. </s>
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            <p id="N1D3A5" type="main">
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              Theorema
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              19.
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              In plano inclinato acceleratur motus in eadem proportione qua acceleratur
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              in perpendiculari
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              ; </s>
              <s id="N1D3C0">ſit enim planum inclinatum AC, perpendicularis A
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              E, in qua primo tempore ſenſibili percurrat AD; </s>
              <s id="N1D3C6">ſecundò DE; </s>
              <s id="N1D3CA">certè dato
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              etiam tempore licèt maiore percurret AB; </s>
              <s id="N1D3D0">igitur alio æquali percurret
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              CB; </s>
              <s id="N1D3D6">nam vt ſe habet AE ad AG; </s>
              <s id="N1D3DA">ita ſe habet AD ad AB, & DE ad BC;
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              quæ omnia ſunt certa. </s>
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            <p id="N1D3E0" type="main">
              <s id="N1D3E2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              20.
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              </s>
            </p>
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              Hinc æqualis ineſt velocitas mobili decurſa AC, inclinata & decurſa AE
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              perpendiculari,
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              probatur, motus per AC eſt ad motum per AE, vt AE, ad
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              AC per Th.6.igitur motus per AC eſt tardior; </s>
              <s id="N1D3FD">ſed motu tardiore minùs
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              ſpatium conficitur æquali tempore in ca proportione, in qua motus eſt
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              tardior; </s>
              <s id="N1D405">ſed proportio velocitatis eſt vt AC ad AE: </s>
              <s id="N1D409">atqui quâ propor­
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              tione motus eſt tardior alio, maius ſpatium decurri debet, vt motu acce­
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              lerato per minora crementa acquiratur velocitas alteri æqualis; </s>
              <s id="N1D411">igitur
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              eò ſpatium debet eſſe maius, quò motus erit tardior; </s>
              <s id="N1D417">igitur debet percur­
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              ri AC in inclinata, & AE in perpendiculari, vt ſit æqualis velocitas; </s>
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              ſit autem v.g. AC dupla AE, certè motus per AC eſt ſubduplus motus
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              pes AE; </s>
              <s id="N1D426">ducatur EB perpendicularis, certè AB eſt ſubdupla AE; </s>
              <s id="N1D42A">igitur
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              eo tempore, quo percurret AE, percurret tantùm AB ſubduplum ſcili­
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              cet motu ſubduplo; </s>
              <s id="N1D432">igitur tempore æquali BC triplam AB; </s>
              <s id="N1D436">ſed tem­
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              poribus æqualibus acquiruntur æqualia velocitatis momenta; </s>
              <s id="N1D43C">igitur ve­
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              locitas in C eſt dupla illius, quæ erat in B; </s>
              <s id="N1D442">ſed quæ eſt in E eſt dupla il­
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              lius, quæ eſt in B; igitur quæ eſt in E eſt æqualis illi, quæ eſt in C. </s>
              <s id="N1D449">Adde
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              quod in ea proportione in qua motus eſt tardior, ſpatium eſt maius, vt
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              æqualis velocitas acquiratur; </s>
              <s id="N1D451">igitur ſi quælibet pars ſpatij motum auget </s>
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