Ceva, Giovanni, Geometria motus, 1692

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="34" xlink:href="022/01/040.jpg"/>
            <p type="margin">
              <s id="s.000335">
                <margin.target id="marg74"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              4.</s>
            </p>
            <p type="margin">
              <s id="s.000336">
                <margin.target id="marg75"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000337">
                <emph type="center"/>
              LIBER ALTER
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000338">
                <emph type="center"/>
              DE
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000339">
                <emph type="center"/>
              Motu Compoſito.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000340">MOtum appellamus compoſitum, vbi dum fer­
                <lb/>
              tur mobile, conſideratur habere plures iņ
                <lb/>
              diuerſas partes, vel
                <expan abbr="etiã">etiam</expan>
              in eandem partem
                <lb/>
              conatus, ex quibus oriatur tertia vis diſtin­
                <lb/>
              cta ab illis. </s>
              <s id="s.000341">Hunc librum, cum expleueri­
                <lb/>
              mus, non pauca vnà cum priori, dicta erunt de motu, erit­
                <lb/>
              que ea methodus, qua ſimul geometrica quædam, difficil­
                <lb/>
              lima ſcitu ſatis breuiter oſtendemus. </s>
              <s id="s.000342">Nam vibrationes
                <lb/>
              pendulorum exigi temporibus; quæ ſint in ſubduplicatą
                <lb/>
              ratione longitudinum eorundem, planè tandem conſtabit
                <lb/>
              aliàs nobis diſſentientibus: aperiemus etiam, qua arte in­
                <lb/>
              telligi queant anguli rectilinei curuilineis æquales; nec non
                <lb/>
              exponemus parabolas quibuſdam ſpiralibus æquales, vt
                <lb/>
              eſt vulgata ſpirali Archimedeæ, cùm videlicet baſis para­
                <lb/>
              bolæ radio circuli ſpiralem continentis, & dimidium huius
                <lb/>
              circumferentiæ circuli altitudini eiuſdem parabolæ, æqua­
                <lb/>
              les ſint. </s>
            </p>
            <p type="main">
              <s id="s.000343">
                <emph type="center"/>
              PROP. I. THEOR. I.
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg76"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000344">
                <margin.target id="marg76"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              1.</s>
            </p>
            <p type="main">
              <s id="s.000345">SI in eadem recta linea currantur ſpatia temporibus
                <lb/>
              æqualibus, & ſint motus ſimplices, ac ad eaſdem par­
                <lb/>
              tes tendentes, eadem illa ſpatia ſimul motu compoſito, ab
                <lb/>
              eodemque mobili duabus illis geneſibus affecto, vnicoque
                <lb/>
              ex dictis temporibus æqualibus, excurrentur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>