Valerio, Luca, De centro gravitatis solidorum, 1604

List of thumbnails

< >
41
41 		42
42
43
43 		44
44
45
45 		46
46
47
47 		48
48
49
49 		50
50
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/043.jpg" pagenum="35"/>
              tatis in puncto B, ſpacia N, R, æquiponderabunt à lon­
                <lb/>
              gitudinibus AC, CB; eritque vtriuſque plani N, R, ſi­
                <lb/>
              mul centrum grauitatis C. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIVM.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Hinc manifeſtum eſt ſi cuiuslibet figuræ pla­
                <lb/>
              næ vtcumque ſectæ centra grauitatis partium
                <lb/>
              iungantur recta linea, talem lineam à centro gra­
                <lb/>
              uitatis totius prædicti plani ita ſecari, vt ſegmen­
                <lb/>
              ta ex contrario reſpondeant prædictis partibus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XVII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si totum quoduis planum, & pars aliqua non
                <lb/>
              habeant idem centrum grauitatis, & eorum cen­
                <lb/>
              tra iungantur recta linea; in ea producta ad par­
                <lb/>
              tes centri grauitatis totius, erit reliquæ partis cen
                <lb/>
              trum grauitatis. </s>
            </p>
            <p type="main">
              <s>Sit totum quoduis planum
                <lb/>
              ABC, cuius centrum graui­
                <lb/>
              tatis E, & pars illius AB, cuius
                <lb/>
              aliud centrum D, & iuncta
                <lb/>
              DE, producatur ad partes E,
                <lb/>
              in infinitum vſque in H. </s>
              <s>Dico
                <lb/>
              reliquæ partis BC, centrum
                <lb/>
              grauitatis, quod ſit G, eſse in
                <lb/>
              linea EH. </s>
              <s>Quoniam enim D,
                <lb/>
              G, ſunt centra grauitatis par­
                <lb/>
                <figure id="id.043.01.043.1.jpg" xlink:href="043/01/043/1.jpg" number="25"/>
                <lb/>
              tium AB, BC, cadet totius ABC, centrum grauitatis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum