Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
1
1 		2
2
3
3 		4
4
5
5 		6
6
7
7 		8
8
9
9 		10
10
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="4" xlink:href="022/01/010.jpg"/>
            <p type="margin">
              <s id="s.000058">
                <margin.target id="marg5"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              5.</s>
            </p>
            <p type="main">
              <s id="s.000059">Motus ſint primò æquabiles, curratque mobile ſpatium
                <lb/>
              AB tempore, cuius imago CAB, curratur item ab alio mo­
                <lb/>
              bili ſpatium DE tempore, cuius imago DEF, & ſint ipſæ
                <lb/>
                <arrow.to.target n="marg6"/>
                <lb/>
              temporum imagines interſe homogeneæ, ſcilicet FD ad
                <lb/>
              AC eandem habeat rationem, quam velocitas in A ad
                <lb/>
              velocitatem in D. Dico, tempus per AB ad id per DE eſ­
                <lb/>
                <arrow.to.target n="marg7"/>
                <lb/>
              ſe vt figura ABC, ad DEF. </s>
              <s id="s.000060">Cum motus æquabiles ſint
                <lb/>
              erunt figuræ dictarum imaginum rectangula, propterea il­
                <lb/>
              lorum ratio componetur ex rationibus altitudinum AB ad
                <lb/>
                <arrow.to.target n="marg8"/>
                <lb/>
              DE, & baſium AC ad DF, ex ijſdem verò rationibus ſpa­
                <lb/>
              tiorum ſcilicet, & reciproca velocitatum (ſunt enim ima­
                <lb/>
              gines inter ſe homogeneæ) nectitur etiam ratio temporum,
                <lb/>
              quibus
                <expan abbr="percurrũtur">percurruntur</expan>
              ipſa ſpatia AB, DE iuxta geneſes ima­
                <lb/>
              ginum ACB, DEF, ergo eſt eadem ratio inter illa tempo­
                <lb/>
              ra, ac inter imagines ſuas.
                <lb/>
                <arrow.to.target n="marg9"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000061">
                <margin.target id="marg6"/>
                <emph type="italics"/>
              Def.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000062">
                <margin.target id="marg7"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000063">Def.
                <emph.end type="italics"/>
              3.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000064">
                <margin.target id="marg8"/>
                <emph type="italics"/>
              Gal. </s>
              <s id="s.000065">pr. S de
                <lb/>
              motu æquab.
                <lb/>
              </s>
              <s id="s.000066">Def.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000067">
                <margin.target id="marg9"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              fig.
                <emph.end type="italics"/>
              6.
                <lb/>
                <emph type="italics"/>
              Def.
                <emph.end type="italics"/>
              5.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000068">2. Sit motus vnus æquabilis, alter verò quicunque; ſit
                <lb/>
              tamen imago huius temporis figura acuminata vt ALGE,
                <lb/>
              & alterius temporis prædicti motus æquabilis, ſit HFM, </s>
            </p>
            <p type="main">
              <s id="s.000069">
                <arrow.to.target n="marg10"/>
                <lb/>
              quæ rectangulum erit: Dico, imaginibus homogeneis exi­
                <lb/>
              ſtentibus, fore inter has eandem rationem, ac homologè
                <lb/>
              inter tempora decurſuum ab A in E, & ab F in M iuxtą
                <lb/>
              geneſes imaginum temporum propoſitarum. </s>
              <s id="s.000070">Si enim non
                <lb/>
              eſt ita, ſit quædam alia magnitudo Y, maior, vel minor
                <lb/>
              imagine acuminata ALGE, quæ ad imaginem FHM ha­
                <lb/>
              beat eandem rationem, quam tempus per AE iuxta imagi­
                <lb/>
              nem ALGE ad tempus per FM iuxta imaginem alteram
                <lb/>
              FHM; ſit verò magnitudinis Y differentia ab imagine ma­
                <lb/>
              gnitudo Z. </s>
              <s id="s.000071">Secetur AE bifariam in C, pariterque ſeg­
                <lb/>
              menta AC, CE bifariam in B, D, & ſic vlteriùs progredia­
                <lb/>
              tur, donec, ſi compleatur rectangulum poſtremum, & ma­
                <lb/>
              ximum DG, hoc minus exiſtat quam Z. </s>
              <s id="s.000072">Tum ductis reli­
                <lb/>
              quis æquidiſtantibus CI, BK, & à punctis N, I, K, I alijs
                <lb/>
              etiam æquidiſtantibus rectæ AE, efficiatur ipſi ALGE cir­
                <lb/>
              cumſcripta figura, conſtans ex rectangulis æquealtis AK </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum