DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.21.2.0.0.0" type="main">
              <s id="id.2.1.21.2.1.5.0.b">
                <pb n="14" xlink:href="036/01/041.jpg"/>
              ergo LS SE ſimul ſumptæ ipſis DS SM maiores erunt. </s>
              <s id="id.2.1.21.2.1.6.0">eademq;
                <arrow.to.target n="note45"/>
                <lb/>
              ratione kN minorem eſſe DM oſtendetur. </s>
              <s id="id.2.1.21.2.1.7.0">rurſus quoniam re
                <lb/>
              ctangulum OSH æquale eſt rectangulo kSN; ob eandem cauſam
                <lb/>
              HO maior erit kN. </s>
              <s id="N1113F">eodemq; prorſus modo kN omnibus a­
                <lb/>
              liis per punctum S tranſeuntibus minorem eſſe demonſtrabitur. </s>
              <s id="id.2.1.21.2.1.8.0">
                <lb/>
              & quoniam æquicrurium triangulorum CLE DCM latera LC
                <lb/>
              CE lateribus DC CM ſunt æqualia; baſis verò LE maior eſt
                <lb/>
              DM: erit angulus LCE angulo DCM maior. </s>
              <s id="id.2.1.21.2.1.9.0">quare ad baſim
                <arrow.to.target n="note46"/>
                <lb/>
              anguli C
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              E CEL ſimul ſumpti angulis CDM CMD mi­
                <lb/>
              nores erunt. </s>
              <s id="id.2.1.21.2.1.10.0">& horum dimidii, angulus ſcilicet CLS angulo CDS
                <lb/>
              minor erit. </s>
              <s id="id.2.1.21.2.1.11.0">ergo pondus in
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              magis ſupra lineam LC, quàm
                <lb/>
              in D ſupra DC grauitabit. </s>
              <s id="id.2.1.21.2.1.11.0.a">magis〈qué〉 centro innitetur in L, quàm
                <lb/>
              in D. </s>
              <s id="id.2.1.21.2.1.11.0.b">ſimiliter oſtendetur in D magis
                <expan abbr="cẽtro">centro</expan>
              C inniti, quàm in k. </s>
              <s id="id.2.1.21.2.1.12.0">ergo
                <lb/>
                <expan abbr="ponds">pondus</expan>
              in k grauius erit, quàm in D; & in D, quàm in L. </s>
              <s id="N1117F">eademq; pror
                <lb/>
              ſus ratione quoniam kN minor eſt HO, erit angulus CKS an­
                <lb/>
              gulo CHS maior. </s>
              <s id="id.2.1.21.2.1.13.0">quare pondus in H magis centro C innite­
                <lb/>
              tur, quàm in k. </s>
              <s id="id.2.1.21.2.1.14.0">& hoc modo oſtendetur, vbicunq; in circum­
                <lb/>
              ferentia FDG fuerit pondus, minus in K centro C inniti, quàm
                <lb/>
              in alio ſitu: & quò propius fuerit ipſi F, vel G, magis inniti. </s>
              <s id="id.2.1.21.2.1.15.0">dein­
                <lb/>
              de quoniam angulus CkS maior eſt CDS, & CDk æqualis
                <lb/>
              eſt CkH: erit reliquus SkH reliquo SDk minor. </s>
              <s id="id.2.1.21.2.1.16.0">quare cir­
                <lb/>
              cumferentia k H propior erit motui naturali recto ponderis in K
                <lb/>
              ſoluti, lineæ ſcilicet k S, quàm circumferentia D k motui DS. </s>
              <s id="id.2.1.21.2.1.16.0.a">&
                <lb/>
              ideo linea CD magis ipſi ponderi in D renititur, quàm CK
                <lb/>
              ponderi in k conſtituto. </s>
              <s id="id.2.1.21.2.1.17.0">hacq; ratione oſtendetur angulum
                <lb/>
              SHG maiorem eſſe SkH: & per conſequens lineam CH magis
                <lb/>
              ponderi in H reniti, quàm CK ponderi in K. </s>
              <s id="N111AD">ſimiliter demon­
                <lb/>
              ſtrabitur lineam C
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              magis pondus ſuſtinere, quàm CD: ob
                <lb/>
              eaſdemq; cauſas oſtendetur pondus in K minus ſupra lineam Ck
                <lb/>
              grauitare, quàm in quouis alio ſitu fuerit circumferentiæ FDG.
                <lb/>
              </s>
              <s id="N111BC">& quò propius fuerit ipſi F, vel G, minus grauitare. </s>
              <s id="id.2.1.21.2.1.18.0">grauius ergo
                <lb/>
              erit in k, quàm in alio ſitu: minuſq; graue erit, quò propius fue­
                <lb/>
              rit ipſi F, vel G. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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