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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N136E4" type="main">
              <s id="N137CD">
                <pb xlink:href="077/01/101.jpg" pagenum="97"/>
              lelogrammi FO bifariam quo〈que〉 diuidere.
                <emph type="italics"/>
              Ita〈que〉 parallelogrà
                <lb/>
              mi MN centrum grauitatis est in linea
                <foreign lang="grc">Υ</foreign>
              S. parallilogrammi ver
                <gap/>
                <lb/>
              KX grouitatis centrum est in linea T
                <foreign lang="grc">Υ</foreign>
              . parallelogrammi autem FO in
                <lb/>
              linea TD; magnitudinis igitur ex
                <emph.end type="italics"/>
              his
                <emph type="italics"/>
              omnibus
                <emph.end type="italics"/>
              parallelogrammi
                <lb/>
              MN KX FO
                <emph type="italics"/>
              compoſitæ centrum grauitatis eſt in recta linea S D. ſiv
                <lb/>
              ita〈que〉 punctum R.
                <emph.end type="italics"/>
              quod quidem erit centrum grauitatis figura
                <lb/>
              LNGXEOZF
                <foreign lang="grc">ε</foreign>
              K
                <foreign lang="grc">δ</foreign>
              M.
                <emph type="italics"/>
                <expan abbr="lũgaturq́">lungatur〈que〉</expan>
              ; RH, & producatur,
                <emph.end type="italics"/>
              quæ ipsa
                <foreign lang="grc">ω</foreign>
              M
                <lb/>
              ſecet in P.
                <emph type="italics"/>
              ipſiquè AD
                <emph.end type="italics"/>
              a puncto C
                <emph type="italics"/>
              æqui diſtans ducatur CV,
                <emph.end type="italics"/>
              qu
                <gap/>
                <lb/>
              ipſi RH occurrat in V.
                <emph type="italics"/>
                <expan abbr="triangulũ">triangulum</expan>
              ita〈que〉 ADC ad omnia triangu
                <lb/>
              la ex AM MK
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              F FC deſcripta ſimiliaipſi ADC,
                <emph.end type="italics"/>
              hoc eſt ad tria
                <lb/>
              gula ASM M
                <foreign lang="grc">δ</foreign>
              K K
                <foreign lang="grc">ε</foreign>
              F FZC ſimul ſumpta
                <emph type="italics"/>
              eandem habet propor
                <lb/>
              tionem, quam habet CA ad AM. ſiquidem ſunt AM MK
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              F FC
                <emph.end type="italics"/>
                <arrow.to.target n="marg126"/>
                <lb/>
                <emph type="italics"/>
              æquales quia verò & triangulum ADB ad omnia ex AL LG GE
                <lb/>
              EB deſcripta triangula ſimilia
                <emph.end type="italics"/>
              ALS LGN GEX EFO
                <emph type="italics"/>
              eandem ha
                <lb/>
              bet proportionem, quam ‘BA ad AL
                <emph.end type="italics"/>
              : & antecedentes ſimul
                <arrow.to.target n="marg127"/>
                <lb/>
              omnes conſe〈que〉ntes, hoc eſt totum triangulum ABC ad on
                <lb/>
              nia triangula ſimul ſumpta, quæ ſunt in AB, & in AC conſti­
                <lb/>
              tuta, eandem habebit proportionem, quam habet AC AB ſi
                <lb/>
              mul ad AM AL ſimul, quia verò ob
                <expan abbr="ſimilitudinẽ">ſimilitudinem</expan>
                <expan abbr="triangulorũ">triangulorum</expan>
                <lb/>
              ABC ALM CA ad AM eſt, vt BA ad AL; erit CA ad AM, vt
                <lb/>
              CA BA ſimul ad AM AL ſimul.
                <emph type="italics"/>
              triangulum igitur ABC ad omnia
                <emph.end type="italics"/>
                <arrow.to.target n="marg128"/>
                <lb/>
                <emph type="italics"/>
              prædicta triangula eandem habet proportionem quam habet CA ad AM.
                <lb/>
              At〈que〉 CA ad AM maiorem habet proportionem quàm VR ad RH; e­
                <lb/>
              tenim proportio ipſius CA ad AM eſt eadem, quæ est totius VR
                <expan abbr="adipsã">adipsam</expan>
                <lb/>
              R. p.
                <expan abbr="quãdoquidẽ">quandoquidem</expan>
              triangula
                <emph.end type="italics"/>
              ACD MC
                <foreign lang="grc">ω</foreign>
                <emph type="italics"/>
              ſunt ſimilia.
                <emph.end type="italics"/>
                <expan abbr="ſintq́">ſint〈que〉</expan>
              ; AD &
                <arrow.to.target n="marg129"/>
                <lb/>
              M
                <foreign lang="grc">ω</foreign>
              ęquidiſtantes, ſitquè propterea CA ad AM, vt CD ad
                <lb/>
              D
                <foreign lang="grc">ω</foreign>
              . & quoniam VR DC àlineis DR
                <foreign lang="grc">ω</foreign>
              p CV
                <arrow.to.target n="marg130"/>
                <lb/>
              diuiduntur; erit C
                <foreign lang="grc">ω</foreign>
              ad
                <foreign lang="grc">ω</foreign>
              D, vt VP ad PR. &
                <expan abbr="cõponendo">componendo</expan>
                <arrow.to.target n="marg131"/>
                <lb/>
              ad D
                <foreign lang="grc">ω</foreign>
              , vt VR ad RP. quare vt CA ad AM, ita VR ad
                <arrow.to.target n="marg132"/>
                <lb/>
              quia verò VR ad RP maiorem habet proportionem,
                <arrow.to.target n="marg133"/>
                <lb/>
              ad RH. maiorem quo〈que〉 habebit proportionem CA ad
                <lb/>
              AM, quàm VR ad RH. eſt autem CA ad AM, vt
                <expan abbr="triangulũ">triangulum</expan>
                <lb/>
              ABC ad omnia triangula in lineis AC AB. (vt dictum eſt)
                <lb/>
              conſtituta; ergo
                <emph type="italics"/>
              & triangulum ABC adprædicta
                <emph.end type="italics"/>
              triangula
                <emph type="italics"/>
              maio
                <lb/>
              rem habet proportionem, quàm VR ad RH. Quare & diuidendo pa-
                <emph.end type="italics"/>
                <arrow.to.target n="marg134"/>
                <lb/>
                <emph type="italics"/>
                <expan abbr="rallelogrāma">rallelogramma</expan>
              MN
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              X FO
                <emph.end type="italics"/>
              hoc eſt figura LNGXEOZF
                <foreign lang="grc">ε</foreign>
              K
                <foreign lang="grc">δ</foreign>
              M)
                <emph type="italics"/>
              ad
                <lb/>
              circumrelicta triangula
                <emph.end type="italics"/>
              in lineis AC AB conſtituta
                <emph type="italics"/>
              maiorem ha-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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