Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N1D02F" type="main">
              <s id="N1D03D">
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              cubans F; </s>
              <s id="N1D046">dico grauitationem ponderis F in inclinatam GD eſſe ad gra­
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              uitationem in horizontalem CD vt CD ad GD; </s>
              <s id="N1D04C">quia pondus F pellit
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              planum per lineam FE ſeu GB Tangentem; </s>
              <s id="N1D052">quia determinari non po­
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              teſt ſeu percuſſio, ſeu impreſſio ex alio capite quàm ex linea ducta à
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              centro grauitatis perpendiculariter in planum, vt demonſtrauimus
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              in Th. 120. l. 1. atqui libræ extremitas G initio deſcendit per Tangen­
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              tem GB, id eſt per minimum arcum, qui ferè concurrit cum Tangente; </s>
              <s id="N1D060">
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              ſed ideò deſcendit in AB, quia pellitur deorſum à pondere; </s>
              <s id="N1D065">igitur men­
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              ſura grauitationis eſt deſcenſus libræ, ſed libra faciliùs deſcendit ex A
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              deorſum quàm ex G in proportione AD ad CD vel GD ad CD; </s>
              <s id="N1D06D">igitur
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              grauitatio ponderis in A eſt ad grauitationem eiuſdem in G, vt GD ad
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              CD; quia rationes cauſarum ſunt eædem cum rationibus effectuum. </s>
            </p>
            <p id="N1D075" type="main">
              <s id="N1D077">Præterea ſit planum inclinatum GD, ſit IF parallela GD; </s>
              <s id="N1D07B">ſint IK, I
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              M & quadrans KFR; </s>
              <s id="N1D081">punctum I ſit centrum libræ immobile; </s>
              <s id="N1D085">certè ſi ſit
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              alterum brachium libræ æquale IF inſtructum æquali pondere F, erit æ­
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              quilibrium; ſed pondus illud in F eſt ad idem in R, vt IM ad IF, ſeu vt
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              CD ad GD, quod erat dem. </s>
            </p>
            <p id="N1D08F" type="main">
              <s id="N1D091">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1D09D" type="main">
              <s id="N1D09F">Obſeruabis poſſe facilè ex dictis explicari diuerſas potentias applica­
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              tas ponderi F in eodem plano GD, primò ſi accipiatur IHF parallela
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              GH cum centro immobili I pondus retinebitur, ſi potentia in I ſit ad
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              globum vt GC ad GD, vt demonſtratum eſt; ſi verò pellat potentia per
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              lineam IF, globus deſcendet, vt patet. </s>
            </p>
            <p id="N1D0AB" type="main">
              <s id="N1D0AD">Hinc ſecundò ſuſtinens MF totum pondus F ſuſtinet, patet, quia ſi­
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              ue planum inclinatum pondus ipſum tangat, ſiue perpendiculare, totum
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              ſuſtinet pondus; ſubſtracto enim plano pondus immobile manet, adde
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              quod non poteſt pondus F ſuſtineri in brachio IM, niſi æquale pondus
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              ex æquali brachio oppoſito pendeat. </s>
            </p>
            <p id="N1D0B9" type="main">
              <s id="N1D0BB">Tertiò ex puncto T lineâ TFE non poteſt ſuſtineri pondus licèt po­
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              tentia in T eſſet infinita, quia ex TE deſcendet in TV, patet; idem
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              dico de omnibus aliis lineis ductis ab F ad aliquod punctum inter
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              TM. </s>
            </p>
            <p id="N1D0C5" type="main">
              <s id="N1D0C7">Quartò ex puncto X linea XF ſuſtinebitur pondus dum potentia ap­
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              plicetur in X, maior quidem potentia applicata in I, ſed minor applica­
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              ta in M; </s>
              <s id="N1D0CF">nam potentia M eſt ad potentiam I vt IF ad MF; </s>
              <s id="N1D0D3">igitur poten­
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              tia X eſt ad potentiam M vt MF ad XF; ad potentiam verò I vt IF
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              ad XF. </s>
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            <p id="N1D0DC" type="main">
              <s id="N1D0DE">Quintò, cùm triangula IF M.HF 4. ſint proportionalia, potentia M
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              eſt ad potentiam I vt HF ad 4. F. </s>
            </p>
            <p id="N1D0E4" type="main">
              <s id="N1D0E6">Sextò, ſi applicetur potentia, vel in T pellendo per lineam TFE, quæ
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              cadit perpendiculariter in planum GD, vel ſi applicetur in A per lineam
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              AE trahendo, non poterit retineri globus, quæcunque tandem poten­
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              tia applicetur; </s>
              <s id="N1D0F0">quia ſemper per GD globus rotari poterit nullo cor­
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              pore impediente; </s>
              <s id="N1D0F6">ſuppono enim tùm planum tùm globum eſſe perfectè </s>
            </p>
          </chap>
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