Valerio, Luca, De centro gravitatis solidorvm libri tres

List of thumbnails

< >
71
71 		72
72
73
73 		74
74
75
75 		76
76
77
77 		78
78
79
79 		80
80
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/073.jpg" pagenum="65"/>
              Rurſus quia puncta K, H, ſunt centra grauitatis triangu­
                <lb/>
              lorum ABC, CDA, erunt EH, EK, axes pyramidum
                <lb/>
              ABCE, ACDA: quorum EL, eſt tripla ipſius LH,
                <lb/>
              nec non EN, tripla ipſius EK; pyramidis igitur ABCE,
                <lb/>
              centrum grauitatis erit L, ſicut & K, pyramidis ACDE.
                <lb/>
              Rurſus, quoniam totius quadrilateri ABCD, eſt cen­
                <lb/>
              trum grauitatis F, cuius magnitudinis partium triangu­
                <lb/>
              lorum ABC, CDA, centra grauitatis ſunt K, H; recta
                <lb/>
              KH, à puncto F, ſic
                <lb/>
              diuiditur, vt ſit HF, ad
                <lb/>
              FK, vt triangulum
                <lb/>
              ACD, ad triangulum
                <lb/>
              ABC, hoc eſt, vt py­
                <lb/>
              ramis ACDE, ad py
                <lb/>
              ramidem ABCE. ſed
                <lb/>
              vt HF, ad FK, ita
                <lb/>
              eſt LM, ad MN; vt
                <lb/>
              igitur eſt pyramis AC
                <lb/>
              DE, ad pyramidem
                <lb/>
              ABCE, ita erit LM,
                <lb/>
              ad MN. </s>
              <s>Sed N, eſt
                <lb/>
              centrum grauitatis py­
                <lb/>
                <figure id="id.043.01.073.1.jpg" xlink:href="043/01/073/1.jpg" number="47"/>
                <lb/>
              ramidis ACDE, & L pyramidis ABCE; punctum
                <lb/>
              igitur M, erit centrum grauitatis pyramidis ABCDE.
                <lb/>
              </s>
              <s>Quod ſi pyramis habeat baſim quinquelateram; poſito
                <lb/>
              rurſus axe totius pyramidis, & baſi ſecta in triangulum,
                <lb/>
              & quadrilaterum, poſitis vtriuſque proprijs centris graui­
                <lb/>
              tatis, eadem demonſtratione propoſitum concludetur.
                <lb/>
              </s>
              <s>Quemadmodum ſi baſis ſit ſex laterum, ſecta ea in quinque
                <lb/>
              laterum, & triangulum, & reliquis vt antea poſitis: & ſic ſem
                <lb/>
              per deinceps. </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum