Clavius, Christoph, Geometria practica

Table of figures

< >
< >
page |< < (348) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div993" type="section" level="1" n="356">
          <p>
            <s xml:id="echoid-s16266" xml:space="preserve">
              <pb o="348" file="376" n="376" rhead="GEOMETR. PRACT."/>
            cit, velinſuper cum proportione M, ad N, quam latus illud ad alterum latus ha-
              <lb/>
            bet. </s>
            <s xml:id="echoid-s16267" xml:space="preserve">Conſtituatur angulus BCD, in prima figura, vel CBE, in ſecunda dato an-
              <lb/>
            gulo O, æqualis. </s>
            <s xml:id="echoid-s16268" xml:space="preserve">Deinde ſiue diameter dato angulo C, opponi debeat, vt in pri-
              <lb/>
            ma figura, ſiue datum angulũ CBE, ſecare, vt in ſecũda, fiat ad B, angulus CBD,
              <lb/>
            angulo L, dato æqualis, ſecetque CD, rectam BD, in D: </s>
            <s xml:id="echoid-s16269" xml:space="preserve">vel fiat vt M, ad N, ita
              <lb/>
            BC, ad CD; </s>
            <s xml:id="echoid-s16270" xml:space="preserve">ac Rhomboides compleatur CE, cuius diameter latus BC, excedat
              <lb/>
            recta DF. </s>
            <s xml:id="echoid-s16271" xml:space="preserve">quæ ſi æqualis fuerit dato exceſſui A, factum erit, quodiubetur. </s>
            <s xml:id="echoid-s16272" xml:space="preserve">Sive-
              <lb/>
            rò inæqualis, fiat vt DF, ad exceſſum A, ita BD, ad BG, compleaturque Rhom-
              <lb/>
            boides HI, circa eandem diametrum BD, quod dico eſſe quæſitum. </s>
            <s xml:id="echoid-s16273" xml:space="preserve">Nam ſi reſe-
              <lb/>
            cetur GK, exceſſui A, æqualis, adhibenda eſt eadem demonſtratio, quæin præ-
              <lb/>
            cedentibus.</s>
            <s xml:id="echoid-s16274" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16275" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi diameter Rhomboidis cuiuſpiam minor fuerit latere maiore, vt in
              <lb/>
            tertia figura. </s>
            <s xml:id="echoid-s16276" xml:space="preserve">Sit datus exceſſus A, lateris maioris in aliquo Rhomboide ſupra
              <lb/>
            diametrum, vna cum angulo O, Rhomboidis, & </s>
            <s xml:id="echoid-s16277" xml:space="preserve">inſuper cum angulo L, quem
              <lb/>
              <figure xlink:label="fig-376-01" xlink:href="fig-376-01a" number="265">
                <image file="376-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/376-01"/>
              </figure>
            diameter cum illo latere maiore efficere debet, vel inſuper cum proportione M,
              <lb/>
            ad N, quam maius latus ad minus habet. </s>
            <s xml:id="echoid-s16278" xml:space="preserve">Conſtituatur angulus BDC, dato an-
              <lb/>
            gulo O, æqualis: </s>
            <s xml:id="echoid-s16279" xml:space="preserve">Etſi eſt acutus, fiat in B, angulus D B C, angulo L, æqualis,
              <lb/>
            (ſi datus angulus Rhomboidis foret obtuſus, nimirum DBE, conſtituendus eſ-
              <lb/>
            ſet angulus DBC, in ipſo angulo dato) ſecetque recta BC, rectam D C, in C; </s>
            <s xml:id="echoid-s16280" xml:space="preserve">vel
              <lb/>
            fiat vt M, ad N, ita BD, ad DC; </s>
            <s xml:id="echoid-s16281" xml:space="preserve">ac Rhomboides cõpleatur D E, cuius latus B D,
              <lb/>
            diametrum BC, ſuperetrecta DF, quæ ſi æqualis fuerit dato exceſſui, factum e-
              <lb/>
            rit, quodiubetur: </s>
            <s xml:id="echoid-s16282" xml:space="preserve">Si verò inæqualis, fiat vt DF, ad A, ita BD, ad B G, perficia-
              <lb/>
            turque Rhomboides GI, quod dico eſſe quæſitum. </s>
            <s xml:id="echoid-s16283" xml:space="preserve">Nam ſi capiatur GK, æqua-
              <lb/>
            lis ipſi A, demonſtrabitur propoſitum, vt ſupra in quadrato, ſi loco diametrorũ
              <lb/>
            BD, BG, quadrati, accipiantur hic latera BD, BG, vt perſpicuum eſt.</s>
            <s xml:id="echoid-s16284" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16285" xml:space="preserve">
              <emph style="sc">Tvnc</emph>
            autemlatus maius diametrum excedet, quando angulus, quem dia-
              <lb/>
            meter cum minore latere efficit, maior eſt acuto angulo Rhomboidis. </s>
            <s xml:id="echoid-s16286" xml:space="preserve">Nam ſi
              <lb/>
            in tertia figura angulus BCD, maior eſt angulo D; </s>
            <s xml:id="echoid-s16287" xml:space="preserve"> erit recta B D, maior, ꝗ̃ BC.</s>
            <s xml:id="echoid-s16288" xml:space="preserve">
              <note symbol="a" position="left" xlink:label="note-376-01" xlink:href="note-376-01a" xml:space="preserve">19. primi.</note>
            </s>
          </p>
        </div>
        <div xml:id="echoid-div1001" type="section" level="1" n="357">
          <head xml:id="echoid-head384" xml:space="preserve">THEOR. 8. PROPOS. 15.</head>
          <p>
            <s xml:id="echoid-s16289" xml:space="preserve">IN rectangulo parallelogrammo, ſumptis exceſſibus, quibus diameter
              <lb/>
            duo latera ſuperat; </s>
            <s xml:id="echoid-s16290" xml:space="preserve">Rectangulum ſub differentia exceſſuum, & </s>
            <s xml:id="echoid-s16291" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum