Commandino, Federico, Liber de centro gravitatis solidorum, 1565

List of thumbnails

< >
11
11 		12
12
13
13 		14
14
15
15 		16
16
17
17 		18
18
19
19 		20
20
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000082">
                <pb xlink:href="023/01/012.jpg"/>
              quæ quidem in centro conueniunt. </s>
              <s id="s.000083">idem igitur eſt centrum
                <lb/>
              grauitatis quadrati, & circuli centrum.</s>
            </p>
            <p type="margin">
              <s id="s.000084">
                <margin.target id="marg10"/>
              31. tertii.</s>
            </p>
            <p type="main">
              <s id="s.000085">Sit pentagonum æquilaterum, & æquiangulum in circu­
                <lb/>
                <figure id="id.023.01.012.1.jpg" xlink:href="023/01/012/1.jpg" number="4"/>
                <lb/>
              lo deſcriptum abcd e. </s>
              <s id="s.000086">& iun­
                <lb/>
              cta bd,
                <expan abbr="bifariamq́">bifariamque</expan>
              ; in f diuiſa,
                <lb/>
              ducatur cf, & producatur ad
                <lb/>
              circuli circumferentiam in g;
                <lb/>
              quæ lineam ae in h ſecet: de­
                <lb/>
              inde iungantur ac, cc. </s>
              <s id="s.000087">Eodem
                <lb/>
              modo, quo ſupra demonſtra­
                <lb/>
              bimus angulum bcf æqualem
                <lb/>
              eſſe. </s>
              <s id="s.000088">angulo dcf; & angulos
                <lb/>
              ad f utroſque rectos: & idcir­
                <lb/>
              co lineam cfg per circuli cen
                <lb/>
              trum tranſire. </s>
              <s id="s.000089">Quoniam igi­
                <lb/>
              tur latera cb, ba, & cd, de æqualia ſunt; & æquales anguli
                <lb/>
                <arrow.to.target n="marg11"/>
                <lb/>
              cba, cde: erit baſis ca baſi: ce, & angulus bca angulo
                <lb/>
              dce æqualis. </s>
              <s id="s.000090">ergo & reliquus ach, reliquo ech. </s>
              <s id="s.000091">eſt au­
                <lb/>
              tem ch utrique triangulo ach, ech communis. </s>
              <s id="s.000092">quare
                <lb/>
              baſis ah æqualis eſt baſi hc: & anguli, qui ad h recti:
                <expan abbr="ſuntq́">ſuntque</expan>
              ;
                <lb/>
                <arrow.to.target n="marg12"/>
                <lb/>
              recti, qui ad f. </s>
              <s id="s.000093">ergo lineæ ae, bd inter ſe ſe æquidiſtant. </s>
              <lb/>
              <s id="s.000094">Itaque cum trapezij abde latera bd, ae æquidiſtantia à li
                <lb/>
              nea fh bifariam diuidantur; centrum grauitatis ipſius erit
                <lb/>
                <arrow.to.target n="marg13"/>
                <lb/>
              in linea fh, ex ultima eiuſdem libri Archimedis. </s>
              <s id="s.000095">Sed trian­
                <lb/>
              guli bcd centrum grauitatis eſt in linea cf. </s>
              <s id="s.000096">ergo in eadem
                <lb/>
              linea ch eſt centrum grauitatis trapezij abde, & trian­
                <lb/>
              guli bcd: hoc eſt pentagoni ipſius centrum: & centrum
                <lb/>
              circuli. </s>
              <s id="s.000097">Rurſus ſi iuncta ad,
                <expan abbr="bifariamq́">bifariamque</expan>
              ; ſecta in k, duca­
                <lb/>
              tur ekl: demonſtrabimus in ipſa utrumque centrum in
                <lb/>
              eſſe. </s>
              <s id="s.000098">Sequitur ergo, ut punctum, in quo lineæ cg, el con­
                <lb/>
              ueniunt, idem ſit centrum circuli, & centrum grauitatis
                <lb/>
              pentagoni.</s>
            </p>
            <p type="margin">
              <s id="s.000099">
                <margin.target id="marg11"/>
              4. Primi.</s>
            </p>
            <p type="margin">
              <s id="s.000100">
                <margin.target id="marg12"/>
              28. primi.</s>
            </p>
            <p type="margin">
              <s id="s.000101">
                <margin.target id="marg13"/>
              13. Archi­
                <lb/>
              medis.</s>
            </p>
            <p type="main">
              <s id="s.000102">Sit hexagonum abcdef æquilaterum, & æquiangulum
                <lb/>
              in circulo deſignatum:
                <expan abbr="iunganturq́">iunganturque</expan>
              ; bd, ae: & bifariam </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum