Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
91
91
92
92
93
93
94
94
95
95
96
96
97
97
98
98
99
99
100
100
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000913">
                <pb pagenum="94" xlink:href="022/01/100.jpg"/>
              do arcus incuruatur, breuiores fiunt, quàm eſſent anteą.
                <lb/>
              </s>
              <s id="s.000914">Reſpondeo, quòd corda ao cùm ſit obliquior reſpectu
                <lb/>
              longitudinis ae, quàm reſpectu cæterarum centro propin­
                <lb/>
              quiorum, hinc fit vt, quantùm eſt ex hac ratione, faciliùs
                <lb/>
              aperiantur partes propinquiores centro; quamobrem, vtra­
                <lb/>
              que ratione inuicem temperata, dummodo arcus non ſit
                <lb/>
              ſummè incuruatus omnes partes aperientur, quantum ſa­
                <lb/>
              tis eſt ad intentum. </s>
            </p>
            <p type="main">
              <s id="s.000915">Altera difficultas eſt, quod elaterium quodlibet dum
                <lb/>
              reſtringitur videtur obſtare motui elaterij ſequentis. </s>
              <s id="s.000916">Nam,
                <lb/>
              exempli gratia, in elaterio B ſemiannulus reſpiciens extre­
                <lb/>
              mum A, dum ſtringitur, optimè præſtat ſuum effectum,
                <expan abbr="">cum</expan>
                <lb/>
              eius motus ſit versùs centrum M At è contrario reliqua
                <lb/>
              pars, ſeu ſemiannulus reſpiciens prædictum centrum M,
                <expan abbr="">cum</expan>
                <lb/>
              habeat ſuum motum verſus A videtur obſtare, quo minus
                <lb/>
              liberè claudatur ſequens elaterium C. </s>
              <s id="s.000917">Aque idem de cæte­
                <lb/>
              ris dicendum. </s>
              <s id="s.000918">Huic incommodo conſultum eſt augendo
                <lb/>
              magnitudinem, & craſſitiem elateriorum, quò magis acce­
                <lb/>
              dunt ad centrum M. </s>
              <s id="s.000919">Hinc enim ſequitur vt propter ma­
                <lb/>
              gnitudinem facilè conſentiant arcui, dum incuruatur; at
                <lb/>
              dum idem arcus liberè ſibi relinquitur, cum ſint corpulen­
                <lb/>
              tiora & craſſiora habent maius momentum, quàm cætera
                <lb/>
              graciliora, ideoque non modo vincunt motum illum op­
                <lb/>
              poſitum, ſed etiam imprimunt maiorem motum ferro ar­
                <lb/>
              cus, cui ille motus communicatur. </s>
            </p>
            <p type="main">
              <s id="s.000920">Aduerte quod commiſſuræ ſeu nodi, quò plures fuerint,
                <lb/>
              elateria autem maioris ponderis, arcus denique corporis
                <lb/>
              gracilioris equæ expeditioris, tanto ictus longat præſtan­
                <lb/>
              tior ſequetur, tum propter notabilem curuaturam brachio­
                <lb/>
              rum, tum propter momentum maius elateriorum, &
                <expan abbr="quidẽ">quidem</expan>
                <lb/>
              poſita eadem potentia, aut etiam minori, pro vt longitudi­
                <lb/>
              nes vectium ſtatuuntur. </s>
            </p>
            <p type="main">
              <s id="s.000921">Aduerte etiam, longitudinem brachij AE, eiuſdemquę
                <lb/>
              correſpondentis debere cæteris paribus nonnihil imminui, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>