Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

List of thumbnails

< >
141
141 (15) 		142
142
143
143 (15) 		144
144 (16)
145
145 (17) 		146
146
147
147 (18) 		148
148
149
149 (19) 		150
150
< >
page |< < (35) of 213 > >|
DE CENTRO GRAVIT. SOLID.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="91">
          <pb o="35" file="0181" n="181" rhead="DE CENTRO GRAVIT. SOLID."/>
          <p>
            <s xml:space="preserve">Sit ſruſtum a e a pyramide, quæ triangularem baſim ha-
              <lb/>
            beat abſciſſum: </s>
            <s xml:space="preserve">cuius maior baſis triangulum a b c, minor
              <lb/>
            d e f; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis g h. </s>
            <s xml:space="preserve">ducto autem plano per axem & </s>
            <s xml:space="preserve">per lineã
              <lb/>
            d a, quod ſectionem faciat d a k l quadrilaterum; </s>
            <s xml:space="preserve">puncta
              <lb/>
            K l lineas b c, e f bifariam ſecabunt. </s>
            <s xml:space="preserve">nam cum g h ſit axis
              <lb/>
            ſruſti: </s>
            <s xml:space="preserve">erit h centrum grauitatis trianguli a b c: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">g
              <lb/>
            centrum trianguli d e f: </s>
            <s xml:space="preserve">cen-
              <lb/>
              <anchor type="figure" xlink:label="fig-0181-01a" xlink:href="fig-0181-01"/>
              <anchor type="note" xlink:label="note-0181-01a" xlink:href="note-0181-01"/>
            trum uero cuiuslibet triangu
              <lb/>
            li eſt in recta linea, quæ ab an-
              <lb/>
            gulo ipſius ad dimidiã baſim
              <lb/>
            ducitur ex decimatertia primi
              <lb/>
            libri Archimedis de cẽtro gra
              <lb/>
            uitatis planorum. </s>
            <s xml:space="preserve">quare cen-
              <lb/>
              <anchor type="note" xlink:label="note-0181-02a" xlink:href="note-0181-02"/>
            trũ grauitatis trapezii b c f e
              <lb/>
            eſt in linea _K_ l, quod ſit m: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">à
              <lb/>
            puncto m ad axem ducta m n
              <lb/>
            ipſi a k, uel d l æquidiſtante;
              <lb/>
            </s>
            <s xml:space="preserve">erit axis g h diuiſus in portio-
              <lb/>
            nes g n, n h, quas diximus: </s>
            <s xml:space="preserve">ean
              <lb/>
            dem enim proportionem ha-
              <lb/>
            bet g n ad n h, quã l m ad m _k_. </s>
            <s xml:space="preserve">
              <lb/>
            At l m ad m K habet eam, quã
              <lb/>
            duplum lateris maioris baſis
              <lb/>
            b c una cum latere minoris e f
              <lb/>
            ad duplum lateris e f unà cum
              <lb/>
            later b c, ex ultima eiuſdem
              <lb/>
            libri Archimedis. </s>
            <s xml:space="preserve">Itaque à li-
              <lb/>
            nea n g abſcindatur, quarta
              <lb/>
            pars, quæ ſit n p: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ab axe h g abſcindatur itidem
              <lb/>
            quarta pars h o: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quam proportionem habet fruſtum ad
              <lb/>
            pyramidem, cuius maior baſis eſt triangulum a b c, & </s>
            <s xml:space="preserve">alti-
              <lb/>
            tudo ipſi æqualis; </s>
            <s xml:space="preserve">habeat o p ad p q. </s>
            <s xml:space="preserve">Dico centrum graui-
              <lb/>
            tatis fruſti eſſe in linea p o, & </s>
            <s xml:space="preserve">in puncto q. </s>
            <s xml:space="preserve">namque ipſum
              <lb/>
            eſſe in linea g h manifeſte conſtat. </s>
            <s xml:space="preserve">protractis enim fruſti pla</s>
          </p>
        </div>
      </text>
    </echo>
Impressum