DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <p id="id.2.1.17.5.0.0.0" type="main">
              <s id="id.2.1.17.5.1.18.0">
                <pb n="11" xlink:href="036/01/035.jpg"/>
              æqualis eſt angulo CDA, cùm à ſemidiametris, eademq; circumfe
                <lb/>
              rentia contineantur; & angulus C
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              S angulo CDS eſt minor;
                <lb/>
              erit reliquus
                <emph type="italics"/>
              S
                <emph.end type="italics"/>
              LD reliquo SDA maior. </s>
              <s id="id.2.1.17.5.1.19.0">quare circumferentia
                <lb/>
              DA, hoc eſt deſcenſus ponderis in D propior erit motui natu­
                <lb/>
              rali ponderis in D ſoluti, lineæ ſcilicet DS, quàm circumferen
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              tia LD lineæ LS. </s>
              <s id="id.2.1.17.5.1.19.0.a">minus igitur linea CD ponderi in D reniti­
                <lb/>
              tur, quàm linea CL ponderi in L. </s>
              <s id="id.2.1.17.5.1.19.0.b">linea ideo CD minus ſuſtinet,
                <lb/>
              quàm CL; ponduſq; magis liberum erit in D, quàm in L:
                <lb/>
              cùm pondus naturaliter magis per DA moueatur, quàm per LD.
                <lb/>
              </s>
              <s id="N10E2F">quare grauius erit in D, quàm in L. </s>
              <s id="N10E31">ſimiliter oſtendemus CA
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              minus ſuſtinere, quàm CD: ponduſq; magis in A, quàm in D li­
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              berum, grauiuſq, eſſe. </s>
              <s id="id.2.1.17.5.1.20.0">Ex parte deinde inferiori ob eaſdem cauſas,
                <lb/>
              quò pondus propius fuerit ipſi G, magis detinebitur, vt in H ma
                <lb/>
              gis à linea CH, quàm in K à linea CK. </s>
              <s id="N10E3E">nam cùm angulus CHS
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              maior ſit angulo CkS, ad rectitudinem magis appropinquabunt
                <arrow.to.target n="note34"/>
                <lb/>
              ſe ſe lineæ CH HS, quàm Ck kS; atq; ob id pondus magis deti­
                <lb/>
              nebitur à CH, quàm à Ck ſi enim CH HS in vnam conuenirent
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              lineam vt euenit pondere exiſtente in G; tunc linea CG totum ſu
                <lb/>
              ſtineret' pondus in G, ita vt immobilis perſiſteret. </s>
              <s id="id.2.1.17.5.1.21.0">quò igitur
                <lb/>
              minor erit angulus linea CH, & deſcenſu ponderis ſoluti, ſcilicet
                <lb/>
              HS contentus, eò minus quoq; eiuſmodi linea pondus detinebit. </s>
              <s id="id.2.1.17.5.1.22.0">
                <lb/>
              & vbi minus detinebitur, ibi magis liberum, grauiuſq; exiſtet. </s>
              <s id="id.2.1.17.5.1.23.0">
                <lb/>
              Præterea ſi pondus in k liberum eſſet, atq; ſolutum, per lineam
                <lb/>
              k S moueretur; à linea verò Ck prohibetur, quæ cogit pondus
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              citrà lineam k S per circumferentiam k H moueri. </s>
              <s id="id.2.1.17.5.1.24.0">ipſum enim
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              quodammodo retrahit, retrahendoq; ſuſtinet. </s>
              <s id="id.2.1.17.5.1.25.0">niſi enim ſuſtineret. </s>
              <s id="id.2.1.17.5.1.26.0">
                <lb/>
              pondus deorſum per rectam k S moueretur, non autem per cir
                <lb/>
              cumferentiam k H. </s>
              <s id="N10E6E">ſimiliter CH pondus retinet, cùm per circum
                <lb/>
                <expan abbr="ferentiã">ferentiam</expan>
              HG moueri compellat. </s>
              <s id="id.2.1.17.5.1.27.0">
                <expan abbr="Quoniã">Quoniam</expan>
              autem angulus CHS ma­
                <lb/>
              ior eſt angulo CKS,
                <expan abbr="dẽptis">demptis</expan>
              æqualibus angulis CHG CkH; erit
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              reliquus SHG reliquo SKH maior. </s>
              <s id="id.2.1.17.5.1.28.0">circumferentia igitur k H, hoc
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              eſt deſcenſus ponderis in k, propior erit motui naturali ponderis in
                <lb/>
              k ſoluti, hoc eſt lineæ k S, quàm circumferentia HG lineæ HS. </s>
              <s id="N10E8A">mi
                <lb/>
              nus idcirco detinet linea Ck, quàm CH: cùm pondus naturali­
                <lb/>
              ter magis moueatur per k H, quàm per HG. </s>
              <s id="id.2.1.17.5.1.28.0.a">ſimili ratione oſten­
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              detur, quò minor erit angulus SkH, lineam Ck minus ſuſtinere. </s>
              <s id="id.2.1.17.5.1.29.0"/>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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