DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

< >
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N15D7F" type="main">
              <s id="N15DB9">
                <pb xlink:href="077/01/157.jpg" pagenum="153"/>
              ritur centrum graurtatis. </s>
              <s id="N15E0C">Quòd ſi figurę nullam conuenien­
                <lb/>
              tiam, nullamquè ſimilitudinem inter ſe habuerint; ut in qua
                <lb/>
              drilateris, pentagonis, & reliquis figuris, quæ inter ſe ne〈que〉
                <lb/>
              latera ne〈que〉 angulos ęquales
                <expan abbr="habeãt">habeant</expan>
              ; & propterea nullam in­
                <lb/>
              terſe conuenientiam, & ſimilitudinem habere poſſunt; im­
                <lb/>
              poſſibile quidem eſſet in ipſis determinare ſitum
                <expan abbr="cẽtri">centri</expan>
              grauita
                <lb/>
              tis; ita vt omnibus quadrilateris, ac omnibus pentagonis quo
                <lb/>
              modo cun〈que〉 factis, & ita cęteris figuris deſeruire poſſit. </s>
              <s id="N15E24">Cum
                <lb/>
              exempli gratia in pentagonis modò in vno, modò in alio ſi­
                <lb/>
              tu centrum reperiatur; prout ſunt diuerſę figuræ. </s>
              <s id="N15E2A">Poſſumus
                <lb/>
              quidem in vnaqua〈que〉 figura reperire punctum poſitione,
                <lb/>
              quod ſit quidem centrum grauitatis illius determinatæ figu­
                <lb/>
              ręt. </s>
              <s id="N15E32">vt in fine primilibri oſtendimus. </s>
              <s id="N15E34">eſſet tamen impoſſibile
                <lb/>
              in omnibus proprium certum, ac determinatum ſitum repe­
                <lb/>
              rire; vt ſcilicet ſit in tali linea, taliquè modo diuiſa, vtomnib^{9}
                <lb/>
              pentagonis, & hexagonis, cæteriſquè huiuſmodi deſeruire
                <lb/>
              poſſit. </s>
              <s id="N15E3E">vt determinatur in triangulis, & vt determinari poteſt
                <lb/>
              in quadrilateris; quæ vel ſint parallelogramma, vel duo
                <expan abbr="ſaltẽ">ſaltem</expan>
                <lb/>
              latera ſint æquidiſtantia. </s>
              <s id="N15E48">cùm in his conuenientia, quàm
                <lb/>
              triangulis accidere oſtendimus, reperiatur; quandoquidem
                <lb/>
              ſunt
                <expan abbr="triãgulorum">triangulorum</expan>
              portiones. </s>
              <s id="N15E52">ſimiliter in parallelogrammis fa
                <lb/>
              cilè erit oſtendere aliquam inter ſe ſimilitudinem exiſtere.
                <expan abbr="pẽ-tagona">pen­
                  <lb/>
                tagona</expan>
              verò hexagona, & cæteræ figuræ, quæ angulos æqua­
                <lb/>
              les, & æqualia latera habent; iam conſtat ſimilia eſſe inter ſe.
                <lb/>
              præterea circuliomnes ſunt ſimiles. </s>
              <s id="N15E60">Ellipſes quo〈que〉 inter ſe
                <lb/>
              aliquam habent ſimilitudinem, in quibus deſcribitur figura,
                <lb/>
              planè inſcripta. </s>
              <s id="N15E66">vt perſpicuum eſt in libro Federici Comman
                <lb/>
              dini de centro grauitatis ſolidorum. </s>
              <s id="N15E6A">ac propterea in his, & in
                <lb/>
              alijs, quibus inter ſe aliqua ſimililudo reperiri poteſt, centrum
                <lb/>
              quo〈que〉 grauitatis determinari poterit. </s>
            </p>
            <p id="N15E70" type="margin">
              <s id="N15E72">
                <margin.target id="marg267"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              ſexti
                <lb/>
              ex lèmate
                <lb/>
                <expan abbr="ĩ">im</expan>
                <expan abbr="ſecũdã">ſecundam</expan>
              d
                <lb/>
                <expan abbr="mõſtratio-ne">monſtratio­
                  <lb/>
                ne</expan>
                <gap/>
              . pri­
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15E95" type="margin">
              <s id="N15E97">
                <margin.target id="marg268"/>
              17.
                <emph type="italics"/>
              quinti.
                <lb/>
              coro.
                <emph.end type="italics"/>
              19.
                <lb/>
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15EA9" type="margin">
              <s id="N15EAB">
                <margin.target id="marg269"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.157.1.jpg" xlink:href="077/01/157/1.jpg" number="99"/>
            <p id="N15EB8" type="head">
              <s id="N15EBA">LEMMA.</s>
            </p>
            <p id="N15EBC" type="main">
              <s id="N15EBE">Sint quatuor magnitudines ABCD. ſitquè A maior B;
                <lb/>
              &C maior D. Dico A ad D maiorem habere proportio­
                <lb/>
              nem, quàm habet B ad C. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum