Valerio, Luca, De centro gravitatis solidorum, 1604

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              <s>
                <pb xlink:href="043/01/039.jpg" pagenum="31"/>
              mologa; puncta igitur K, H, in prædictis triangulis ſunt
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              ſimiliter poſita. </s>
              <s>Rurſus quoniam angulus ABC, non
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              eſt minor recto, acuti erunt reliqui ACB, BAC; igitur
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              latus AC, maximum erit: ponitur autem AB maius,
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              quàm BC; triangulum igitur ABC, ſcalenum erit.
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              </s>
              <s>Eadem ratione ſcalenum eſt triangulum ACD. </s>
              <s>Quare
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              in triangulo ACD, vnum duntaxat punctum K, ſimili­
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              ter poſitum erit, ac punctum H, in triangulo ABC. </s>
              <s>Cum
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              igitur H ſit centrum grauitatis trianguli ABC, erit &
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              K, centrum grauitatis trianguli ACD. </s>
              <s>Sed longitudo
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              GK, æqualis eſt longitudini GH; punctum igitur G erit
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              centrum grauitatis parallelogrammi ABCD, in quo ni­
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              mirum ſecta eſt bifariam diameter AC: quare ſi ducatur
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              altera diameter BD, in medio etiam diametri BD, erit
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              idem centrum grauitatis G. </s>
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              <s>Sed ſint omnia latera æqualia
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              ABCD,
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              Sectisque duobus lateribus AD, BC, bifariam in E, F
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              iungantur EF, AE, ED,
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              AGC, & per punctum G,
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              ducatur ipſi AD, vel BC,
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              parallela HGK. </s>
              <s>Quoniam
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              igitur EC, eſt æqualis
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              AF, erit CG æqualis AG,
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              & EG, æqualis GF, pro­
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              pter ſimilitudinem triangu
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              lorum: nec non EH, ipſi
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              AH, & EK, ipſi KD: tres
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              igitur diametri AC, AE,
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              ED, erunt ſectæ bifariam
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                <figure id="id.043.01.039.1.jpg" xlink:href="043/01/039/1.jpg" number="22"/>
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              in punctis K, G, H: & quoniam ex æquali propter triangu­
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              la ſimilia eſt vt AF, ad FD, ita HG, ad GK, erit HG,
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              æqualis ipſi GK: ſed puncta K, H, ſunt centra grauitatis
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              parallelogrammorum BF, FC; igitur totius parallelo­
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              grammi ABCD, centrum grauitatis erit G, in medio </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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