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

Table of figures

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    <archimedes>
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          <chap id="N10019">
            <p id="N15378" type="main">
              <s id="N15396">
                <pb xlink:href="077/01/145.jpg" pagenum="129"/>
              CDO, quam triangulum GHQ ad
                <expan abbr="KLq.">KL〈que〉</expan>
              quare diuiden­
                <lb/>
              do ſpacium ACDB ad triangulum CDO eſt, vt
                <arrow.to.target n="marg232"/>
                <lb/>
              GKLH ad triangulum
                <expan abbr="kLq.">kL〈que〉</expan>
              Rurſus quoniam ob triangu
                <lb/>
              lorum ſimilitudinem ABO CDO, ita eſt AB ad CD,
                <arrow.to.target n="marg233"/>
                <lb/>
              BO ad OD. ſimiliter ob ſimilitudinem
                <expan abbr="triangulorũ">triangulorum</expan>
              GHQ
                <lb/>
              KLQ ita eſt GH ad kL, vt HQ ad QL. & eſt AB ad CD,
                <lb/>
              vt GH ad KL, erit BO ad OD, vt HQ ad QL. &
                <arrow.to.target n="marg234"/>
              diui­
                <lb/>
              dendo BD ad DO, vt HL ad
                <expan abbr="Lq.">L〈que〉</expan>
              deinde
                <expan abbr="conuertẽdo">conuertendo</expan>
              DO
                <lb/>
              ad DB, vt LQ ad LH. & eſt BD ad DF, vt HL ad LN,
                <arrow.to.target n="marg235"/>
                <lb/>
              ex ęquali DO ad DF, vt LQ ad LN. Quoniam autem ſimi
                <lb/>
              lium triangulorum CDP EFP latus CD ad latus EF ita ſe
                <lb/>
              habet, vt DP ad PF. ſimiliter exiſtentibus ſimilibus triangu
                <lb/>
              lis KLR MNR ita eſt KL ad MN, vt LR ad RN, & vt CD
                <lb/>
              ad EF, ita eſt KL ad MN, erit DP ad PF, vt LR ad
                <arrow.to.target n="marg236"/>
                <lb/>
              & per conuerſionem rationis PD ad DF, vt RL ad LN. &
                <lb/>
              conuertendo DF ad DP, vt LN ad LR. diximus
                <expan abbr="autẽ">autem</expan>
              OD
                <lb/>
              ad DF ita eſſe, vt QL ad LN, & eſt DF ad DP, vt LN ad
                <lb/>
              LR. ergo ex ęquali erit OD ad DP, vt QL ad LR. At
                <arrow.to.target n="marg237"/>
                <lb/>
              quoniam ita eſt OD ad DP, vt triangulum OCD ad PCD,
                <lb/>
              & vt QL ad LR, ita eſt triangulum QKL ad
                <expan abbr="triangulũ">triangulum</expan>
              RKL,
                <lb/>
              erit OCD ad PCD, vt QKL ad RKL. Quoniam
                <expan abbr="autẽ">autem</expan>
                <expan abbr="triã">triam</expan>
                <lb/>
              gula CDP EFP ſunt ſimilia, triangulum CDP ad
                <arrow.to.target n="marg238"/>
                <lb/>
              EFP proportionem habebit, quam CD ad EF duplicatam,
                <lb/>
              hoc eſt quam habet CD ad Y, cùm ſint CD EF Y propor­
                <lb/>
              tionales. </s>
              <s id="N1541C">ſimiliter ob triangulorum KLR MNR ſimilitudi­
                <lb/>
              nem triangulum KLR ad MNR, ita erit vt KL ad Z, eſt au­
                <lb/>
              tem CD ad Y, vt KL ad Z, erit igitur
                <expan abbr="triãgulum">triangulum</expan>
              CDP ad
                <lb/>
              EFP, vt KLR ad MNR, & diuidendo
                <expan abbr="ſpaciũ">ſpacium</expan>
              CEFD ad
                <arrow.to.target n="marg239"/>
                <lb/>
              gulum EFP, vt ſpacium KMNL ad triangulum MNR. &
                <expan abbr="cõ">com</expan>
                <arrow.to.target n="marg240"/>
                <lb/>
              uertendo triangulum EFP ad ſpacium CEFD, vt
                <expan abbr="triangulũ">triangulum</expan>
                <lb/>
              MNR ad ſpacium KMNL. Ita〈que〉 quoniam oſtenſum eſt i­
                <lb/>
              ta eſſe ſpacium ACDB ad triangulum CDO, vt ſpacium
                <lb/>
              GKLH ad triangulum
                <expan abbr="KLq.">KL〈que〉</expan>
              & vt
                <expan abbr="triangulũ">triangulum</expan>
              CDO ad trian
                <lb/>
              gulum CDP, ita triangulum KLQ ad
                <expan abbr="triangulũ">triangulum</expan>
              KLR, dein
                <lb/>
              de, vt triangulum CDP ad triangulum EFP, ita
                <expan abbr="triãgulum">triangulum</expan>
                <lb/>
              KLR ad triangulum MNR; deniquè vt triangulum EFP ad
                <lb/>
              ſpacium CEFD, ita triangulum MNR ad ſpacium kMNL, </s>
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          </chap>
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    </archimedes>
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