Valerio, Luca, De centro gravitatis solidorum, 1604

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              <s>
                <pb xlink:href="043/01/103.jpg" pagenum="16"/>
              quadrato AC: & quod fit ex BC, & rectangulo ACB,
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              eſt quod fit ex AC, & quadrato BC; cubus igitur ex
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              AB æqualis eſt duobus cubis ex AC CB, vna cum ſex
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              ſolidis, quorum tria fiunt ex AC, & BC quadrato, tria
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              autem ex BC, & quadrato AC, hoc eſt duobus ſolidis,
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              quorum alterum fit ex tripla ipſius AC, & quadrato BC,
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              alterum ex tripla ipſius BC & quadrato AC. </s>
              <s>Quod de­
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              monſtrandum erat. </s>
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            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XI.
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              <s>Si recta linea vtcumque ſecta fuerit, cubus qui
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              fit à tota æqualis eſt cubis partium vna cum ſoli­
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              do rectangulo, quod totius tripla, & partibus
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              continetur. </s>
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              <s>Sit recta linea AB ſecta in puncto C vtcumque. </s>
              <s>Di­
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              co cubum ex AB æqualem eſse duobus cubis ex AC,
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              CB, vna cum ſolido rectangulo ex AC CB, & tripla
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              ipſius AB. </s>
              <s>Quoniam enim quod fit ex AC, & rectan­
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              gulo ACB, eſt id quod fit ex BC, & quadrato AC: &
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              quod fit ex BC, & rectangulo ACB, eſt id, quod fit ex
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                <figure id="id.043.01.103.1.jpg" xlink:href="043/01/103/1.jpg" number="76"/>
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              AC & quadrato BC. ſed duo ſolida ex AC CB, & re­
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              ctangulo ACB ſunt id, quod fit ex compoſita vtriuſque
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              altitudine AB, et rectangulo ACB; duo igitur prædi­
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              cta ſolida, quæ ex AC CB, & earum quadratis recipro­
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              ce fiunt æqualia ſunt ſolido ex AB BC CA, & triplum
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              triplo, videlicet duo ſolida, quæ fiunt reciproce ex triplis </s>
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