Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <p type="main">
                <s id="id.000962">
                  <pb xlink:href="035/01/099.jpg" pagenum="59"/>
                  <emph type="italics"/>
                cit pondus E, prohibebit. </s>
                <s id="id.000963">Nam æqualia ad idem eandem rationem
                  <lb/>
                habent prop. 7. lib. 5. el. </s>
                <s id="id.000964">Sed E habet eam ad D, quam A C ad B C, ex
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                fab. </s>
                <s id="id.000965">ergo potentia in B ad pondus D eam rationem habebit, quam
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                A C ad B C. </s>
                <s id="id.000966">Itaque vt eſt potentia ad pondus ſuſtentum: ita eſt
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                pars vectis &c. </s>
                <s id="id.000967">quod fuit demonſtrandum. </s>
                <s id="id.000968">Ex quo duo corollaria
                  <lb/>
                ſtatim eliciuntur.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000969">Primum.
                  <emph type="italics"/>
                Hypomochlio bifariam diuidente vectem, potentia
                  <lb/>
                æqualis requiritur: inæqualiter vero inæqualis. </s>
                <s id="id.000970">Et quidem ſi pars ab
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                hypomochlio ad caput ſit maius ſegmentum, potentia minor: ſi con­
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                tra pars ab eodem ad lingulam, potentia maior.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000971">Secundum.
                  <emph type="italics"/>
                Quò pars ab hypomochlio ad lingulam minor erit:
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                eò minor potentia ad ſuſtinendum ſufficiet.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000972">Reciproce.]
                  <foreign lang="el">*antipepo/nqhsis. </foreign>
                  <emph type="italics"/>
                Reciprocatio quid ſit deſumen­
                  <lb/>
                dum eſt ex Eucl. def. 2. lib. 6. vbi reciprocæ figuræ definiuntur cum in
                  <lb/>
                vtraque figura antecedentes & conſequentes rationum termini fue­
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                rint, id eſt quando in altera quidem eſt terminus antecedens primæ
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                rationis, & conſequens ſecundæ: in altera vero eſt conſequens pri­
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                mæ, & antecedens ſecundæ. </s>
                <s id="id.000974">Quæ vt conuenire huic loco intelligan­
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                tur, ſumendum eſt pondus mouendum ſimul cum parte vectis ab hy­
                  <lb/>
                pomochlio ad lingulam cui appenditur pro vna figura: & potentia
                  <lb/>
                mouens cum reliqua parte vectis pro altera figura. </s>
                <s id="id.000975">Sicque cum duæ
                  <lb/>
                rationes fiant, vna ponderis ad potentiam: altera partis cui potentia
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                innititur ad partem cui pondus eſt appenſum. </s>
                <s id="id.000976">Clarum eſt anteceden­
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                tes & conſequentes rationum terminos in vtraque figura eſſe. </s>
                <s id="id.000977">Et
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                ideo figuras eſſe reciprocas.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000978">Semper ſane.]
                  <emph type="italics"/>
                Hoc exſecundo corollario clarum eſt. </s>
                <s id="id.000979">Quo enim
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                pars vectis ad lingulam erit minor, eo pars ad caput erit maior. </s>
                <s id="id.000980">Et
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                ſic ſi minor potentia ad ſuſtinendum vel dimouendum ſufficiet,
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                etiam alia quæuis paulo maior vis tanto facilius ſuſtinebit, aut mo­
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                uebit pondus: quanto pars ad caput maior erit. </s>
                <s id="id.000981">Inæqualium enim
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                maior ad eandem maiorem rationem habet prop. 8. lib. 5. </s>
                <s>Sed &
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                huius rei cauſa adfertur ex his quæ ante demonſtrata ſunt, nempe à
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                radio maiore maiorem deſcribi circulum. </s>
                <s id="id.000982">Pars enim vectis ab hy­
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                pomochlio ad caput radij inſtar eſt maioris, qui depreſſus & ideo vo­
                  <lb/>
                lutus circa hypomochlium fixum tanquam
                  <expan abbr="cẽtrum">centrum</expan>
                , deſcribit arcum
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                tanto maiorem: quanto ipſe radius maior erat. </s>
                <s id="id.000983">Adde igitur & ex
                  <emph.end type="italics"/>
                </s>
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