Valerio, Luca, De centro gravitatis solidorum, 1604

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              GO: ſecat igitur parabola KBL rectam MG in puncto
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              O. </s>
              <s>Similiter oſtenderemus eandem parabolam ſecare
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              quamcumque aliam in hyperbole ABC ordinatim ad dia
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              metrum applicatarum. </s>
              <s>Quoniam igitur ſunt octo magni
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              tudines quaternæ totæ, & ablatæ proportionales; ac pri­
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              mi quidem ordinis, vt rectangulum BDE ad rectangu­
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              lum BGE, ita quadratum AD ad quadratum MG: ſe­
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              cundi autem ordinis, vt rectangulum EBD ad rectangu­
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              lum EBG ita quadra
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              tum DK ad quadra­
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              tum OGD: ſed vt
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              EB ad BD, hoc eſt
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              vt ablata primæ in pri
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              mis rectangulum EB
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              D ad reliquum BD
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              quadratum, ita poni­
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              tur ablata primæ in ſe
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              cundis, quadratum D
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              K ad reliquum exceſ
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              ſum, quo quadratum
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              AD ſuperat quadra­
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              tum DK; vt igitur eſt
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              reliqua primæ ad reli­
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              quam ſecundæ in pri­
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                <figure id="id.043.01.261.1.jpg" xlink:href="043/01/261/1.jpg" number="191"/>
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              mis, ita erit in ſecundis; videlicet vt quadratum BD ad
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              quadratum BG, ita reliquum quadrati AD dempto qua­
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              drato DK, ad reliquum qua rati MG dempto quadra­
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              to GO. </s>
              <s>Similiter oſtenderemus reliquum quadrati AD
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              dempto quadrato DK ad reliquum quadrati NH dem­
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              pto quadrato PH, eſſe vt quadratum BD ad quadra­
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              tum BH; conuertendo igitur, & ex æquali erit vt qua­
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              dratum BG ad quadratum BH, ita reliquum quadra
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              ti MG dempto quadrato GO, ad reliquum quadrati</s>
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