Valerio, Luca, De centro gravitatis solidorum, 1604

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                <pb xlink:href="043/01/225.jpg" pagenum="46"/>
              natim ad vtramque diametrorum applicatarum, iunctis­
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              que AB, BC, ſit ſecta BD bifariam in puncto G.
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              </s>
              <s>Dico G eſse centrum grauita tis duarum portionum AEB,
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              BFE ſimul. </s>
              <s>Si enim hoc non eſt, ſit aliud punctum L. &
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              compleantur parallelogramma ANBD, DBRC, hoc
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              eſt totum AR parallelogrammum: & ſecta BG bifariam
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              in puncto H, ponatur DK ipſius BD pars tertia, vt pun­
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              ctum K ſit trianguli ABC centrum grauitatis. </s>
              <s>Poſita au­
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              tem ſeſquialtera BP ipſius PN, & BQ ipſius QR, iun­
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              ctisque AP, CQ, duoatur per punctum H ipſi AC, vel
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              NR parallela, cum ipſis AP, CQ conueniens in punctis
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              ST: & iuncta LG,
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              ſi punctum L non
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              ſit in linea BD,
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              eſto LM quintu­
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              pla ipſius MG.
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              </s>
              <s>Quoniam igitur ob
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              parallelas AC, P
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              Q, ST in trape­
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              zio APQC, eſt
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              vt DH ad HB, ita
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              AS ad SP, & CT
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                <figure id="id.043.01.225.1.jpg" xlink:href="043/01/225/1.jpg" number="166"/>
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              ad TQ, erit AS ipſius SP, & CT ipſius TQ tripla:
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              ſed eſt BP ſeſquialtera ipſius PN, & BQ ipſius QR;
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              mixti igitur trianguli ANB centrum grauitatis erit S, &
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              trianguli mixti CRB centrum grauitatis T. cum igitur
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              BP, BQ proportionales æqualibus NB, BR inter ſe
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              ſint æquales, & ſecta AC bifariam in puncto D; etiam
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              ijs parallela ST ſecta erit bifariam in puncto H: iungit
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              autem ST centra grauitatis mixtorum triangulorum AN
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              B, BRC; compoſiti igitur ex vtroque centrum grauita­
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              tis erit H. </s>
              <s>Rurſus quoniam ex quadratura parabolæ, ſe­
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              miparabola ABD ſeſquitertia eſt trianguli BDA, erit
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              triangulum BDA ſeſquialterum mixti trianguli ANB: </s>
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