Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N1D0E4" type="main">
              <s id="N1D0F6">
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              politum, quod tamen nobis deeſſe certum eſt ad experimentum, ſuppo­
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              no nullam eſſe partium compreſſionem, qua vna pars in aliam quaſi pe­
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              netret; </s>
              <s id="N1D103">ſi enim totus locus datur ad deſcenſum; </s>
              <s id="N1D107">certè non eſt vlla ratio
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              propter quam non deſcendat; </s>
              <s id="N1D10D">nec dicas affigi plano GD ab ipſa vi ex­
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              teriùs affigente; </s>
              <s id="N1D113">quia nullo modo impeditur motus, per datam lineam,
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              niſi vel aliquod corpus opponatur, vel alius impetus detrahat ab eadem
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              linea; atqui nihil horum prorsùs eſt in hoc caſu. </s>
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              <s id="N1D11D">Si potentia applicetur in N per lineam NF, maior eſſe debet quàm in
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              I, ſed minor quàm in A; </s>
              <s id="N1D123">eſt autem ad potentiam in I vt IF ad NF; </s>
              <s id="N1D127">
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              quippe reſiſtit planum GD huic potentiæ in N, non tamen reſiſtit in I; </s>
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              igitur illa maior eſſe debet, quod autem potentia in N ſit ad potentiam
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              in I, vt IF ad NF (poſito ſcilicet quod vtraque pondus E ſuſtineat) plùs
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              quàm certum eſt; </s>
              <s id="N1D135">quia cùm pondus poſſit tantùm moueri per EG ſeu per
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              lineam FI potentia NF trahit per FN; </s>
              <s id="N1D13B">igitur potentia in N ſuſtinens
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              pondus F eſt ad potentiam in I ſuſtinentem idem pondus, vt IF ad NF;
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              ſimiliter potentia in K ſuſtinens idem pondus F eſt ad potentiam in I vt
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              IF ad ZF, nam IZ eſt perpendicularis in KF, donec tandem potentia
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              ſit in A applicata per AF in quam IF cadit perpendiculariter, igitur po­
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              tentia in A debet eſſe infinita. </s>
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            <p id="N1D149" type="main">
              <s id="N1D14B">Octauò, ſi pellatur pondus F per omnes lineas contentas ſiniſtrorſum
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              inter FT & FA deorſum faciliùs cadet; </s>
              <s id="N1D151">ſi verò trahatur per lineas con­
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              tentas inter TF & FA dextrorſum, etiam deorſum cadit; </s>
              <s id="N1D157">quia perinde
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              eſt ſiue trahatur per lineam IF, ſiue pellatur æquali niſu per lineam VF
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              quæ concurrit cum FI; </s>
              <s id="N1D15F">& perinde eſt ſiue pellatur per IF, ſiue trahatur
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              per FV; idem dictum ſit de omnibus aliis lineis, quæ per centrum F
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              hinc inde ducuntur. </s>
            </p>
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              <s id="N1D169">Vnum eſt, quod deſiderari videtur ex quo reliqua ferè omnia depen­
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              dent, quomodo ſcilicet potentia in N trahens per FN ſit ad potentiam
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              in I trahentem per FI vt FI eſt ad FN, quod ſic breuiter demonſtro: </s>
              <s id="N1D171">
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              ſit horizontalis BD, & triangulum ECD; ex centro D ducatur arcus
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              BE, qui ſit v.g. 30.grad. </s>
              <s id="N1D17A">vt CE ſit ſubdupla ED; </s>
              <s id="N1D17E">certè potentia in B
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              eſt ad potentiam in E per EC vt BD, vel ED ad CD; </s>
              <s id="N1D184">ſed potentia in E
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              per EA Tangentem eſt æqualis potentiæ in B; </s>
              <s id="N1D18A">ſit autem planum EA, &
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              connectatur AC; </s>
              <s id="N1D190">triangula AEC & ECD ſunt proportionalia; </s>
              <s id="N1D194">igitur
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              ſit AC verticalis, EC horizontalis, & AE inclinata; </s>
              <s id="N1D19A">ſit potentia in A
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              per AE trahens pondus E; </s>
              <s id="N1D1A0">ſit potentia C trahens per CE; </s>
              <s id="N1D1A4">dico quod
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              impeditur tractio toto angulo AEC, ſicut ante impediebatur grauitatio
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              toto angulo AEC; </s>
              <s id="N1D1AC">igitur vtrobique eſt æquale impedimentum; </s>
              <s id="N1D1B0">ſed in
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              primo caſu ratione impedimenti ita ſe habet potentia in E per EA ad
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              potentiam in E per EC, vt ED ad CD, vel vt EA ad EC; igitur in ſe­
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              cundo in quo eſt idem impedimentum potentia in A per EA eſt ad po­
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              tentiam in C per EC, vt ipſa inclinata AE ad EC. </s>
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            <p id="N1D1BD" type="main">
              <s id="N1D1BF">Nonò denique obſeruabis, egregium eſſe apud Merſennum tractatum
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              authore doctiſſimo Roberuallo ſuper hac tota re, in quo certè Geome-</s>
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