DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N128CF">
            <p id="id.2.1.93.9.0.0.0" type="main">
              <s id="id.2.1.93.9.1.3.0">
                <pb n="47" xlink:href="036/01/107.jpg"/>
              uallo quidem vna ipſarum circulus deſcribatur DH kE, qui li­
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              neas CH CK ſecet in punctis OP; connectanturq; OB PB. </s>
              <s id="id.2.1.93.9.1.3.0.a">
                <lb/>
              Quoniam igitur punctum k propius eſt ipſi E, quàm H; erit linea
                <arrow.to.target n="note149"/>
                <lb/>
              Ck maior ipſa CH, & CP ipſa CO minor: ergo PK ipſa OH
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              maior erit. </s>
              <s id="id.2.1.93.9.1.4.0">Quoniam autem triangulum BkP æquicrure latera
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              Bk BP lateribus BH BO trianguli BHO æquicruris æqualia ha
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              bet, baſim verò KP baſi HO maiorem, erit angulus kBP an­
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              gulo
                <arrow.to.target n="note150"/>
              HBO maior. </s>
              <s id="id.2.1.93.9.1.5.0">ergo reliqui ad baſim anguli, hoc eſt kPB
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              PkB ſimul ſumpti, qui inter ſe ſunt æquales, reliquis ad baſim an­
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              gulis, nempè OHB HOB, qui etiam inter ſe ſunt æquales, mino­
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              res
                <arrow.to.target n="note151"/>
              erunt: cùm omnes anguli cuiuſcunq; trianguli duobus ſint rectis
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              æquales. </s>
              <s id="id.2.1.93.9.1.6.0">quare & horum dimidii, ſcilicet NkB minor MHB. </s>
              <s id="id.2.1.93.9.1.6.0.a">
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              Cùm autem angulus BkG æqualis ſit angulo BHF, erit NkG
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              ipſo MHF maior. </s>
              <s id="id.2.1.93.9.1.7.0">ſi igitur à puncto k conſtituatur angulus GKQ
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              ipſi FHM æqualis, fiet triangulum GkQ triangulo FHM æqua
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              le; nam duo anguli ad FH vnius duobus ad Gk alterius ſunt
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              æquales, & latus FH lateri Gk eſt æquale, erit GQ ipſi FM æ­
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              quale.
                <arrow.to.target n="note152"/>
              </s>
              <s id="id.2.1.93.9.1.8.0">ergo GN maior erit ipſa FM. </s>
              <s id="id.2.1.93.9.1.8.0.a">Cùm itaq; BG ipſi BF ſit æqua
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              lis, erit BN minor ipſa BM. </s>
              <s id="id.2.1.93.9.1.8.0.b">Quòd autem BM ſit ipſa BA minor,
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              eſt manifeſtum; cùm BM ipſa BF, quæ ipſi BA eſt æqualis, ſit
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              minor. </s>
              <s id="id.2.1.93.9.1.9.0">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.94.1.0.0.0" type="margin">
              <s id="id.2.1.94.1.1.1.0">
                <margin.target id="note148"/>
              4
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.94.1.1.2.0">
                <margin.target id="note149"/>
              8
                <emph type="italics"/>
              Tertii.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.94.1.1.3.0">
                <margin.target id="note150"/>
              25
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.94.1.1.4.0">
                <margin.target id="note151"/>
              5
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.94.1.1.5.0">
                <margin.target id="note152"/>
              26
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.95.1.0.0.0" type="main">
              <s id="id.2.1.95.1.1.1.0">Inſuper ſi intra BG BE alia vtcunq; ducatur linea ipſi BG æ­
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              qualis; fiatq; operatio, quemadmodum ſupra dictum eſt; ſimili­
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              ter oſtendetur lineam BR minorem eſſe BN. </s>
              <s id="id.2.1.95.1.1.1.0.a">& quò propius fue
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              rit ipſi BE, adhuc minorem ſemper eſſe. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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