Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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            <p type="main">
              <s id="s.002705">
                <pb pagenum="158" xlink:href="009/01/158.jpg"/>
              poteſt proximum eſſe debet, vt vectis pars longior ſit ad partes potentiæ
                <lb/>
              mouentis. </s>
              <s id="s.002706">vt plurimum verò fulcimentum eſt inter pondus, & potentiam:
                <lb/>
              aliquando etiam eſt ex altero vectis extremo, ita vt onus ſit inter fulturam,
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              & potentiam; aliquando potentia eſt inter vtrunque, vnde tres vectis ſpe­
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              cies exiſtunt. </s>
              <s id="s.002707">vt in ſubiectis figuris apparet. </s>
              <s id="s.002708">In prima, vectis eſt A B, fultu­
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                <figure id="id.009.01.158.1.jpg" place="text" xlink:href="009/01/158/1.jpg" number="87"/>
                <lb/>
              ra E, onus C. potentia autem ſeu vis,
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              ſeu aliud pondus
                <expan abbr="mouẽs">mouens</expan>
              ſit vbi D. quæ
                <lb/>
              deorſum in D, præmens eleuabit ſur­
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              ſum ex altera parte onus C. & vectis
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              circa fulturam E, tanquam centrum
                <lb/>
              conuertetur. </s>
              <s id="s.002709">In altera figura pondus
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              eſt inter fulturam, & potentiam, ful­
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              tura autem in altera extremitate, vt
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              patet in figura, hic autem potentia
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              non præmit deorſum in D: ſed ſurſum
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              vectem eleuando pondus C, attollitur.
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              </s>
              <s id="s.002710">In tertia tandem figura potentia, eſt
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              inter vtrunque, eſt enim in D, ibique
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              ſurſum vrget. </s>
              <s id="s.002711">verum tamen eſt hunc vectem artificibus eſſe inutilem, quip­
                <lb/>
              pe qui nullo modo iuuet potentiam, imò verò pondus ipſum grauius reddit:
                <lb/>
                <expan abbr="neq;">neque</expan>
              hoc genere in his Mechanicis indigemus.</s>
            </p>
            <p type="main">
              <s id="s.002712">Reſpondet igitur dubitationi, dicens rationem huius incrementi poten­
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              tiæ motricis, quod fit aſſumpto vecte fortè inde oriri, quod vectis ſit quæ­
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              dam libra, cuius alterum brachium ſit altero longius; in prima autem quæ­
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              ſtione explicatum eſt, cur libra maior, maiorem vim habeat, eam ad cir­
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              culum reducendo; vectis autem fit libra, hypomoclion enim eſt loco ſparti,
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              tam enim ſpartum, quam hypomoclion veluti centra manent. </s>
              <s id="s.002713">quoniam ve­
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              rò ab eodem pondere, cęlerius, ſiue maiori vi mouetur linea, quantò lon­
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              gior à centro fuerit, vt dictum eſt de admiranda circuli natura; hinc fit, vt
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              cum duæ ſint in vecte potentiæ, ſiue duo pondera, mouens, & motum, illud
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              facilius ac maiore vi moueat, ſiue vires ex vecte acquirat, quod longiorem
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              vectis partem preſſerit. </s>
              <s id="s.002714">quemadmodum igitur pars vectis longior, quæ ſpe­
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              ctabat ad mouentem potentiam, ſuperat minorem partem, in qua eſt mo­
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              tum; ita etiam maius eſt pondus
                <expan abbr="motũ">motum</expan>
              , quàm mouens. </s>
              <s id="s.002715">ſemper autem quan­
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              to ab hypomoclio magis diſtabit potentia, tantò facilius mouebit, cuius
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              cauſa ſupra reddita eſt, quoniam nimirum, quæ plus à centro elongatur ma­
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              iorem deſcribit circulum, qui magis ad lineam rectam accedit: quare ab
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              eadem potentia adhibito vecte, tantò facilius pars vectis mouens dimoue­
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              bitur, quantò magis à fulcimento diſtabit. </s>
              <s id="s.002716">Exempli gratia ſit in ſuperiori
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              prima figura vectis A B, pondus C, mouens D, hypomoclion E, in qua præ­
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              dicta poteris contemplari. </s>
              <s id="s.002717">vltima illa textus verba
                <emph type="italics"/>
              (Quod autem vbi D, mo­
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              uens, vbi F, motum autem vbi C, pondus in G,)
                <emph.end type="italics"/>
              videntur ſuperuacanea, atque
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              mendosè addita.</s>
            </p>
            <p type="main">
              <s id="s.002718">In hac quæſtione reſpexit Ariſt. ſolùm ad primam vectis ſpeciem. </s>
              <s id="s.002719">Illud
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              demum, quod dixit eandem habere rationem potentiam ad pondus, quàm
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              partes vectis inuicem demonſtratum eſt poſtea acutiſſimè ab Archimede </s>
            </p>
          </chap>
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    </archimedes>
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