Valerio, Luca, De centro gravitatis solidorum, 1604

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          <chap>
            <pb xlink:href="043/01/038.jpg" pagenum="30"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XIV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis parallelogtammi centrum grauitatis
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              diametrum bifariam diuidit. </s>
            </p>
            <p type="main">
              <s>Sit parallelogrammum ABCD, cuius duo latera AB,
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              BC, ſint primum in æqualia: &
                <expan abbr="quoniã">quoniam</expan>
              omne parallelogram­
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              mum habet ſaltem duos angulos oppoſitos non minores
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              recto, eſto vterque angulorum B, D, non minor recto, ſit­
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              que ducta diameter AC, ſectaque in puncto G, bifariam.
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              </s>
              <s>Dico G, eſse centrum grauitatis parallelogrammi ABCD.
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              </s>
              <s>Trianguli enim ABC, ſit centrum grauitatis H; iuncta­
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              que HG, & producta, ponatur GK, æqualis GH, & re­
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              ctæ à punctis K, H, ad angulos ducantur. </s>
              <s>Quoniam igi­
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              tur AG, eſt æqualis GC, &
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              GH, ipſi GK, & angulus
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              AGK, æqualis angulo CGH,
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              erit baſis AK, æqualis baſi
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              CH, & angulus GAK, æqua­
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              lis angulo GCK: ſed totus
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              angulus DAK, æqualis eſt to
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              ti angulo BCA; reliquus igi­
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              tur DAK, reliquo BCH,
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              æqualis erit, circa quos angu­
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              los latus BC eſt æquale lateri
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              AD, & CH, ipſi AK; angu­
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              lus igitur CBH, æqualis erit
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                <figure id="id.043.01.038.1.jpg" xlink:href="043/01/038/1.jpg" number="21"/>
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              angulo ADK. </s>
              <s>Similiter oſtenderemus angulum CAH,
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              angulo ACK, & angulum BAH, angulo DCK, & an­
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              gulum ABH, angulo CDK, æquales eſse: ſed latera
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              triangulorum, cum quibus rectæ ductæ à punctis K, H, ad
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              angulos triangulorum ſimilium ABC, CDA, ſunt ho-</s>
            </p>
          </chap>
        </body>
      </text>
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