Valerio, Luca, De centro gravitatis solidorum, 1604

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        <body>
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            <p type="main">
              <s>
                <pb xlink:href="043/01/111.jpg" pagenum="24"/>
              ad T, ita fiat T ad ZY, cuius Z
                <foreign lang="grc">ω</foreign>
              , tribus GE, EH, V
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              ſimul ſit æqualis. </s>
              <s>Dico ABCD portio­
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              nem ad cylindrum SO eſse vt
                <foreign lang="grc">ωΥ</foreign>
              ad
                <foreign lang="grc">Υ</foreign>
              Z.
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              </s>
              <s>Abſciſsa enim GK ipſi EG æquali, cylin­
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              drus PN circa axim GH, & conus KEN
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              conſtituantur vt in præcedenti. </s>
              <s>planum igi­
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              tur abſcindens portionem facit fruſtum coni
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              KEN, quod ſit KLMN, cuius minor ba­
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              ſis circulus, cui diameter LM; maior autem
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              cui diameter KN. </s>
              <s>Et vt eſt GE ad EF, hoc
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              eſt GK ad SH, ita ſit EF, vel SH, ad I.
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              vt igitur in præcedenti, oſtenderemus cylin­
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              drum SO ad cylindrum PN eſse vt I ad
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              GK ſiue ad EG. </s>
              <s>Quoniam igitur ſunt ter
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              næ deinceps proportionales GE, EF, I, &
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              X, T, ZY, eſtque vt FE ad EG ita T ad X;
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              erit vt I ad EG, hoc eſt vt cylindrus SO ad
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              PN
                <expan abbr="cylindrũ">cylindrum</expan>
              ita ZY ad X. </s>
              <s>Et quoniam eſt vt
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              GE ad EH, ita EH ad V: hoc eſt, vt GK ad
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              LH. ita LH ad V: & ponitur X tripla ipſius
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                <figure id="id.043.01.111.1.jpg" xlink:href="043/01/111/1.jpg" number="83"/>
                <lb/>
              EG, hoc eſt ipſius GK, vt autem eſt triplaipſius GK ad
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              tres deinceps proportionales GK, LH, V, ita eſt cylin­
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              drus PN ad fruſtum LKNM; erit vt X ad tres GE, EH,
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              V ſimul hoc eſt ad lineam
                <foreign lang="grc">ω</foreign>
              Z, ita cylindrus PN ad fru-</s>
            </p>
          </chap>
        </body>
      </text>
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