Valerio, Luca, De centro gravitatis solidorum, 1604

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                <pb xlink:href="043/01/260.jpg" pagenum="81"/>
              uerſum latus EB. & poſitis in ipſa, BD duobus pun­
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              ctis quibuslibet GH, ordinatim applicentur MG, NH:
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              & circa diametrum BD ſit deſcripta parabola KBL tali­
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              ter vt ipſius dimidiæ baſis DK quadratum ad reliquum
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              quadrati AD, ſit vt EB ad BD, & rectas MH, NG
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              in infinitum productas ſecet parabola KBL in punctis
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              OP. </s>
              <s>Dico puncta OP intra hyperbolem cadere: & reli­
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              quum quadrati MG dempto quadrato GO ad reliquum
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              quadrati NH dempto quadrato PH, eſſe vt quadratum
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              BG ad quadratum
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              BH. </s>
              <s>Quoniam enim
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              ponitur vt EB ad B
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              D, hoc eſt vt rectan­
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              gulum EBD ad qua­
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              dratum BD, ita qua­
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              dratum DK ad reli­
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              quum quadrati AD,
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              erit componendo, &
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              conueniendo, vt
                <expan abbr="rectã">rectam</expan>
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              gulum BDE ad re­
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              ctangulum EBD, ita
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              quadratum AD ad
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              quadratum DK: ſed
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              vt rectangulum BGE
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              ad
                <expan abbr="rectãgulum">rectangulum</expan>
              BDE,
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                <figure id="id.043.01.260.1.jpg" xlink:href="043/01/260/1.jpg" number="190"/>
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              ita eſt quadratum MG ad quadratum AD; ex æquali
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              igitur, vt rectangulum BGE ad rectangulum EBD, ita
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              eſt quadratum MG ad quadratum DK: ſed vt rectan­
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              gulum EBD ad rectangulum EBG, ita eſt quadratum
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              DK ad GO quadratum; ex æquali igitur vt rectangu­
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              lu m BGE ad rectangulum EBG, ita erit quadratum
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              MG ad quadratum GO: ſed rectangulum BGE maius
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              eſt totum parte rectangulo EBG; quadratum igitur MG
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              quadrato GO maius erit, & recta MG maior quàm </s>
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