Valerio, Luca, De centro gravitatis solidorvm libri tres

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              per conuerſionem rationis, vt NL ad LO, ita QH, ad
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              HE: & permutando, vt LN ad QH, ita LO ad EH:
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              ſed LN, oſtenſa eſt æqualis QH; æqualis igitur LO,
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              erit ipſi EH; ſed & OP, eſt æqualis ipſi PE, vt oſten­
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              dimus: duæ igitur LO, OP, duabus HE, EP æqua­
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              les erunt altera alteri, & angulos æquales continent LOP,
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              PEH, parallelis exiſtentibus LN, BH ſectionibus tri­
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              anguli DBH, quæ fiunt à duobus planis parallelis; ba­
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              ſis igitur LP, trianguli LOP, æqualis eſt baſi PH,
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              trianguli PEH, & angulus OPL, angulo EPH in pla­
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              no trianguli DBH, in quo DPE, eſt vna recta linea;
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              igitur LPH, erit vna recta linea, quæ cum ſit axis octa­
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              edri LKMGFH, & ſectus ſit in puncto P, bifariam,
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              erit punctum P, centrum octaedri LKMGEH. ſed &
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              centrum pyramidis ABCD. </s>
              <s>Manifeſtum eſt igitur pro­
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              poſitum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO X.
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              </s>
            </p>
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              <s>Omne fruſtum pyramidis triangulam baſim
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              habentis, ſiue coni, ad pyramidem, vel conum, cu­
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              ius baſis eſt eadem, quæ maior baſis fruſti, & ea­
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              dem altitudo, eam habet proportionem, quam duo
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              latera homologa, vel duæ diametri baſium ipſius
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              fruſti, vnà cum tertia minori proportionali ad
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              prædicta duo latera, vel diametros; ad maioris ba­
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              ſis latus, vel diametrum. </s>
              <s>Ad priſma autem, vel
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              cylindrum, cuius eadem eſt baſis, quæ maior baſis
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              fruſti, & eadem altitudo; vt tres prædictæ deìn­
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              ceps proportionales ſimul, ad triplam lateris, vel
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              diametri maioris baſis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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