Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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              <s id="s.000375">SIT pyramis, cuius baſis triangulum abc; axis dc: &
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              ſecetur plano baſi æquidiſtante; quod
                <expan abbr="ſectionẽ">ſectionem</expan>
              faciat fgh;
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                <expan abbr="occurratq;">occurratque</expan>
              axi in puncto k. Dico fgh triangulum eſſe, ipſi
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              abc ſimile; cuius grauitatis centrum eſt K.
                <expan abbr="Quoniã">Quoniam</expan>
              enim
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              duo plana æquidiſtantia abc, fgh ſecantur à plano abd;
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              communes eorum ſectiones ab, fg æquidiſtantes erunt: &
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              eadem ratione æquidiſtantes ipſæ bc, gh: & ca, hf. </s>
              <s id="s.000376">Quòd
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              cum duæ lineæ fg, gh, duabus ab, bc æquidiſtent, nec
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              ſint in eodem plano; angulus ad g æqualis eſt angulo ad
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              b. </s>
              <s id="s.000377">& ſimiliter angulus ad h angulo ad c:
                <expan abbr="angulusq;">angulusque</expan>
              ad fci,
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              qui ad a eſt æqualis. </s>
              <s id="s.000378">triangulum igitur fgh ſimile eſt tri­
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              angulo abc. </s>
              <s id="s.000379">Atuero punctum k centrum eſſe grauita­
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              tis trianguli fgh hoc modo oſtendemus. </s>
              <s id="s.000380">Ducantur pla­
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              na per axem, & per lineas da, db, dc: erunt communes ſe­
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              ctiones fK, ae æquidiſtantes:
                <expan abbr="pariterq;">pariterque</expan>
              kg, eb; & kh, ec:
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              quare angulus kfh angulo eac; & angulus kfg ipſi eab
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                <figure id="id.023.01.040.1.jpg" xlink:href="023/01/040/1.jpg" number="30"/>
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              eſt æqualis. </s>
              <s id="s.000381">Eadem ratione
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              anguli ad g angulis ad b: &
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              anguli ad h iis, qui ad c æ­
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              quales erunt. </s>
              <s id="s.000382">ergo puncta
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              eK in triangulis abc, fgh
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              ſimiliter ſunt poſita, per ſe­
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              xtam poſitionem Archime­
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              dis in libro de centro graui­
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              tatis planorum. </s>
              <s id="s.000383">Sed cum e
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              ſit centrum grauitatis trian
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              guli abc, erit ex undecima
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              propoſitione eiuſdem libri,
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              & K trianguli fgh grauita
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              tis centrum. </s>
              <s id="s.000384">id quod demonſtrare oportebat. </s>
              <s id="s.000385">Non aliter
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              in ceteris pyramidibus, quod propoſitum eſt demonſtra­
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              bitur.</s>
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    </archimedes>
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