Valerio, Luca, De centro gravitatis solidorum, 1604

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            <p type="main">
              <s>
                <pb xlink:href="043/01/073.jpg" pagenum="65"/>
              Rurſus quia puncta K, H, ſunt centra grauitatis triangu­
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              lorum ABC, CDA, erunt EH, EK, axes pyramidum
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              ABCE, ACDA: quorum EL, eſt tripla ipſius LH,
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              nec non EN, tripla ipſius EK; pyramidis igitur ABCE,
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              centrum grauitatis erit L, ſicut & K, pyramidis ACDE.
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              Rurſus, quoniam totius quadrilateri ABCD, eſt cen­
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              trum grauitatis F, cuius magnitudinis partium triangu­
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              lorum ABC, CDA, centra grauitatis ſunt K, H; recta
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              KH, à puncto F, ſic
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              diuiditur, vt ſit HF, ad
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              FK, vt triangulum
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              ACD, ad triangulum
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              ABC, hoc eſt, vt py­
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              ramis ACDE, ad py
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              ramidem ABCE. ſed
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              vt HF, ad FK, ita
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              eſt LM, ad MN; vt
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              igitur eſt pyramis AC
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              DE, ad pyramidem
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              ABCE, ita erit LM,
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              ad MN. </s>
              <s>Sed N, eſt
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              centrum grauitatis py­
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                <figure id="id.043.01.073.1.jpg" xlink:href="043/01/073/1.jpg" number="47"/>
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              ramidis ACDE, & L pyramidis ABCE; punctum
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              igitur M, erit centrum grauitatis pyramidis ABCDE.
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              </s>
              <s>Quod ſi pyramis habeat baſim quinquelateram; poſito
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              rurſus axe totius pyramidis, & baſi ſecta in triangulum,
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              & quadrilaterum, poſitis vtriuſque proprijs centris graui­
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              tatis, eadem demonſtratione propoſitum concludetur.
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              </s>
              <s>Quemadmodum ſi baſis ſit ſex laterum, ſecta ea in quinque
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              laterum, & triangulum, & reliquis vt antea poſitis: & ſic ſem
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              per deinceps. </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
            </p>
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