Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N1EBE0">Obſeruaſti iam vt puto motum per Arcum TBE eſſe inuerſum vul­
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              garis funependuli; </s>
              <s id="N1EBE6">quippe in illo motuum incrementa initio ſunt mino­
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              ra, & ſemper creſcunt; at verò in hoc initio ſunt maiora, & ſemper de­
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              creſcunt. </s>
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            <p id="N1EBEE" type="main">
              <s id="N1EBF0">
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              Theorema
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              100.
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              </s>
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            <p id="N1EBFC" type="main">
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              Poſſunt determinari vires, quæ ſuſtinere poſſunt datum pondus collocatum̨
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              in arcu erecto ATE
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              : </s>
              <s id="N1EC0D">quippe ad ſuſtinendum pondus in T nullæ vires
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              requiruntur, ad ſuſtinendum in E æqualis potentia ponderi requiritur; </s>
              <s id="N1EC13">
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              at verò potentia, quæ ſuſtinet in 5. ſe habet ad æqualem vt A 7.ad AE,
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              in 4.vt A Z.ad AE, in B vt A
                <foreign lang="grc">δ</foreign>
              ad AE, in D vt AH ad AE, in X vt AF ad
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              AE; </s>
              <s id="N1EC20">denique in E vt AE ad AE; ratio eſt, quia potentia debet eſſe pro­
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              portionata momento ponderis, ſeu motus, ſed motus in B.v.g.per BE eſt
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              ad motum qui fit per perpendicularem vt A
                <foreign lang="grc">δ</foreign>
              ad AB vel AE, igitur po­
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              tentia quæ impedit hunc motum, id eſt quæ ſuſtinet pondus in B eſt ad
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              illam quæ ſuſtinet in E vt A
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              ad AE. </s>
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            <p id="N1EC35" type="main">
              <s id="N1EC37">Debet autem ſuſtineri pondus vel per Tangentem ductam ad punctum
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              B vel ipſi parallelam in certo dumtaxat funiculo, vt fit in trochleis; vnde
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              ſi ſemicirculus A 2.E ſit trochlea, & pondus pendeat ex E,
                <expan abbr="adhibeaturq;">adhibeaturque</expan>
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              potentia trahens in A, debet eſſe æqualis ponderi, ſed de trochleis fusè
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              lib. 11. </s>
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            <p id="N1EC47" type="main">
              <s id="N1EC49">Hinc etiam facilè determinari poteſt quomodo deſtruatur impetus,
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              ſi proiiciatur globus per arcum EBT ſurſum; </s>
              <s id="N1EC4F">nam in eadem proportione
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              deſtruetur in aſcendendo, qua acceleratur deſcendendo; </s>
              <s id="N1EC55">neque eſt hîc
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              ſingularis difficultas; </s>
              <s id="N1EC5B">quemadmodum enim in deſcenſu ſemper accele­
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              ratur per incrementa inæqualia iuxta rationem explicatam; </s>
              <s id="N1EC61">ita in aſcen­
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              ſu ſemper retardatur per detractiones inæquales; </s>
              <s id="N1EC67">in deſcenſu quidem per
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              incrementa initio minora, & maiora ſub finem; in aſcenſu è contrario
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              per detractiones initio maiores ſub finem minores. </s>
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            <p id="N1EC6F" type="main">
              <s id="N1EC71">Hinc denique determinari poteſt quantùm corpus grauitet in toto
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              arcu TBE; </s>
              <s id="N1EC77">in E nihil grauitat, in T totum grauitat; igitur grauitatio in
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              T, ſeu tota eſt ad grauitationem in E, vt TA ad nihil, in 5. verò vt AT
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              ad AT, in 4. vt AT ad AA, in B vt AT ad AS, atque ita deinceps, quæ
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              conſtant ex dictis. </s>
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            <p id="N1EC81" type="main">
              <s id="N1EC83">Inſuper obſerua corpus graue incumbens arcui TBE, per varias lineas
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              poſſe pelli, vel trahi, de quibus idem prorſus dicendum eſt, quod dictum
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              eſt in Th.5. & Sch.Th.16. </s>
            </p>
            <p id="N1EC8A" type="main">
              <s id="N1EC8C">Adde quod omiſimus, ſed facilè ex dictis lib. 1. intelligi poteſt, im­
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              petum qui producitur in acceleratione motus per planum inclinatum
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              eſſe imperfectiorem ex duplici capite; primò ratione minoris temporis,
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              quo producitur ex ratione maioris vel minoris inclinationis, ſeu longi­
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              tudinis. </s>
              <s id="N1EC98">v.g. ſit planum inclinatum AC; </s>
              <s id="N1EC9E">certè cum poſt motum per A
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              E, & per AB ſit æqualis ictus vel impetus; </s>
              <s id="N1ECA4">& cùm tempus quo deſcendit
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              per AE ſit duplum temporis, quo deſcendit per AB; </s>
              <s id="N1ECAA">certè ſingulis inſtan­
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              tibus, quibus durat motus per AC, producitur impetus ſubduplus tan-</s>
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