Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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          <div xml:id="echoid-div340" type="chapter" level="2" n="3">
            <div xml:id="echoid-div381" type="section" level="3" n="21">
              <p>
                <s xml:id="echoid-s1968" xml:space="preserve">
                  <pb o="165" rhead="DE MECHAN." n="177" file="0177" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0177"/>
                  <var>g.i.</var>
                et .K: </s>
                <s xml:id="echoid-s1969" xml:space="preserve">Quà propter augebitur virtus per numeros impares, hoc modo; </s>
                <s xml:id="echoid-s1970" xml:space="preserve">Nam
                  <var>.g.</var>
                  <lb/>
                eſſet tertia pars reſiſtentię, quemadmodum prius media erat. </s>
                <s xml:id="echoid-s1971" xml:space="preserve">Idem infero de
                  <var>.m.n.
                    <lb/>
                  o.p.r.</var>
                et
                  <var>.s</var>
                . </s>
                <s xml:id="echoid-s1972" xml:space="preserve">Sed cum oporteat pondus
                  <var>.q.</var>
                tantum eſſe vt
                  <reg norm="ſuffieiant" type="context">ſuffieiãt</reg>
                reſiſtentiæ in
                  <var>.o.</var>
                et
                  <var>.p.</var>
                  <lb/>
                ipſum ſuſtinere, idcirco ipſum pondus
                  <var>.q.</var>
                ſubſeſquialter erit
                  <reg norm="ponderi" type="context">põderi</reg>
                in
                  <var>.i.</var>
                poſiti. </s>
                <s xml:id="echoid-s1973" xml:space="preserve">Qua-
                  <lb/>
                propter
                  <var>.s.</var>
                quinta pars erit ponderum
                  <var>.i.</var>
                et
                  <var>.q</var>
                . </s>
                <s xml:id="echoid-s1974" xml:space="preserve">Deinde ſi adhuc. duo diametri vnus in-
                  <lb/>
                ferior, alter verò ſuperior additi fuerint cum pondere æquali
                  <var>.q.</var>
                ad medium diame-
                  <lb/>
                tri inferioris, </s>
                <s xml:id="echoid-s1975" xml:space="preserve">tunc pondus
                  <var>.s.</var>
                erit ſeptima pars trium ponderum
                  <var>.i.q.</var>
                & tertij additi, ex
                  <lb/>
                  <figure xlink:label="fig-0177-01" xlink:href="fig-0177-01a" number="239">
                    <image file="0177-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0177-01"/>
                  </figure>
                ſupradictis rationibus. </s>
                <s xml:id="echoid-s1976" xml:space="preserve">Et quia virtus ſuſti
                  <lb/>
                  <figure xlink:label="fig-0177-02" xlink:href="fig-0177-02a" number="240">
                    <image file="0177-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0177-02"/>
                  </figure>
                nens totale pondus trochleæ inferiori ap-
                  <lb/>
                penſum in tot diuiditur partes æquales,
                  <lb/>
                quot ſunt diametri orbiculorum trochleæ
                  <lb/>
                inferioris, quando extremum immobile fu
                  <lb/>
                nis alligatum fuerit trochleę ſuperiori, vt
                  <lb/>
                puta in puncto
                  <var>.e.</var>
                cum verò alligatum fue-
                  <lb/>
                rit trochleæ inferiori, virtus primi diame-
                  <lb/>
                tri
                  <var>.g.i.K.</var>
                trochleæ inferioris ſemper ſeſqui
                  <lb/>
                altera erit vnicuique aliorum
                  <reg norm="diametrorum" type="context">diametrorũ</reg>
                  <lb/>
                ideò virtus reſiſtentię alterius extremi mo
                  <lb/>
                bilis funis, puta
                  <var>.s.</var>
                ſubmultiplex erit totalis
                  <lb/>
                ponderis, eo modo quo diximus, cuius vir
                  <lb/>
                tus, ſeu grauitas diuiditur ſeu diſtrubuitur
                  <lb/>
                diametris inferioris trochleæ vt dictum eſt.</s>
              </p>
            </div>
            <div xml:id="echoid-div383" type="section" level="3" n="22">
              <head xml:id="echoid-head236" style="it" xml:space="preserve">Depropria cauſa .24. quæſtionis.</head>
              <head xml:id="echoid-head237" xml:space="preserve">CAP. XXII.</head>
              <p>
                <s xml:id="echoid-s1977" xml:space="preserve">VEra cauſa effectus, qui vigeſimaquarta quæſtione exprimitur, adhuc à nemine
                  <lb/>
                (quod ſciam) animaduerſa fuit, licet non ſit admodum ardua vel obſcura. </s>
                <s xml:id="echoid-s1978" xml:space="preserve">Ima
                  <lb/>
                ginemur ergo duos circulos
                  <var>.c.f.</var>
                et
                  <var>.b.g.</var>
                concentricos,
                  <reg norm="itaque" type="simple">itaq;</reg>
                ſimul coniunctos, vt ſi ip
                  <lb/>
                ſorum vnus feratur in orbem, alius quoque circumagatur, eo modo, quo curruum ro
                  <lb/>
                tæ voluuntur. </s>
                <s xml:id="echoid-s1979" xml:space="preserve">Et imaginemur primò ſuper lineam
                  <var>.f.i.</var>
                reuolui maiorem, & quando
                  <lb/>
                idem circulus erit in
                  <var>.l.</var>
                dictam lineam
                  <var>.f.i.</var>
                tangere circunferentiam eiuſdem in pun- </s>
              </p>
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