DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

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    <archimedes>
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        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/174.jpg" pagenum="170"/>
            <p id="N16986" type="main">
              <s id="N16988">
                <expan abbr="Quoniã">Quoniam</expan>
              .
                <expan abbr="n.">enim</expan>
              AD multiplex eſt ipſius AG, erit AC pars ipſi^{9}
                <lb/>
              AD. ac propterea ipſam AD metictur. </s>
              <s id="N16993">rurſus quoniam AB,
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              hoc eſt AC vnà cum CB ſextupla eſt ipſius BC, erit
                <expan abbr="diuidẽdo">diuidendo</expan>
                <lb/>
              AC ipſius CB quintupla. </s>
              <s id="N1699D">vndè CB ipſam AC, ac propterea
                <expan abbr="etiã">etiam</expan>
                <lb/>
              ipſam AB metietur. </s>
              <s id="N169A5">Vta utem AC ad AD, ita fiat
                <lb/>
                <arrow.to.target n="fig76"/>
                <lb/>
              CB ad aliam
                <expan abbr="magnitudinẽ">magnitudinem</expan>
              G; eritvti
                <expan abbr="q́">〈que〉</expan>
              ; CB ipſius
                <lb/>
              G pars tertia, cùm ſit AC ipſius AD pars quo〈que〉
                <lb/>
              tertia. </s>
              <s id="N169BA">Ita〈que〉 quoniam CB ad G eſt, vt AC ad AD,
                <lb/>
                <arrow.to.target n="marg306"/>
              erit perm utando CB ad CA, vt G ad AD. BC verò
                <lb/>
              ipſam CA metitur, eiuſquè eſt pars quinta; ergo
                <lb/>
              Gipſam quo〈que〉 AD metietur, eritquè ipſius pars
                <lb/>
              quinta. </s>
              <s id="N169C8">Quoniam autem BC ipſam BA metitur,
                <lb/>
              eademquè BC ipſam quo〈que〉 G metitur, erit BC
                <lb/>
              ipſarum AB G communis menſura. </s>
              <s id="N169CE">quia verò AB
                <lb/>
              ſextupla eſt ipſius CB, G verò eſt eiuſdem CB tri­
                <lb/>
              pla, erit AB ad G, ut ſextupla ad triplam. </s>
              <s id="N169D4">hoc eſt
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              ſe habebunt in dupla proportione. </s>
              <s id="N169D8">quapropter
                <lb/>
              AB dupla eſt ipſius G; ac per conſe〈que〉ns Gipſam
                <lb/>
              AB metitur. </s>
              <s id="N169DE">Quoniam igitur G totam AD metitur, &
                <lb/>
              ablatam AB quo〈que〉 metitur; metietur G reliquam BD. G
                <lb/>
              igitur ipſarum AB BD communis exiſtit menſura. </s>
              <s id="N169E4">&
                <expan abbr="quoniã">quoniam</expan>
                <lb/>
              AB dupla eſt ipſius G, tota verò AD eiuſdem G quintupla
                <lb/>
              exiſtit, erit reliqua BD tripla ipſius G. Ex quibusſequitur
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              DB ad BA ita ſe habere, vt tripla ad duplam. </s>
              <s id="N169F0">Quare DB
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              ipſius BA ſeſquialtera exiſtit. </s>
              <s id="N169F4">quod oſtendere oportebat. </s>
            </p>
            <p id="N169F6" type="margin">
              <s id="N169F8">
                <margin.target id="marg306"/>
              16,
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.174.1.jpg" xlink:href="077/01/174/1.jpg" number="110"/>
            <p id="N16A05" type="head">
              <s id="N16A07">PROPOSITIO. VIII.</s>
            </p>
            <p id="N16A09" type="main">
              <s id="N16A0B">Omnis portionis recta linea, rectanguliquè co
                <lb/>
              ni ſectione contentæ centrum grauitatis diame­
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              trum portionis ita diuidit, vt pars ipſius ad verti­
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              cem portionis reliquæ ad baſim ſit ſeſquialtera. </s>
            </p>
          </chap>
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    </archimedes>
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