Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

Page concordance

< >
Scan Original
121 83
122 84
123 85
124 86
125 87
126 88
127 89
128 90
129 91
130 92
131 93
132 94
133 95
134 96
135 97
136 98
137 99
138 100
139 101
140 102
141 103
142 104
143 105
144 106
145 107
146 108
147 109
148 110
149 111
150 112
< >
page |< < (28) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div120" type="section" level="1" n="54">
          <p>
            <s xml:id="echoid-s1614" xml:space="preserve">
              <pb o="28" file="0066" n="66" rhead="Apollonij Pergæi"/>
            aut minor illa (7. </s>
            <s xml:id="echoid-s1615" xml:space="preserve">ex quinto) eſ-
              <lb/>
            ſet linea breuiſſima A F, aut pars
              <lb/>
              <figure xlink:label="fig-0066-01" xlink:href="fig-0066-01a" number="41">
                <image file="0066-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01"/>
              </figure>
            illius, quod eſt falſum, igitur
              <lb/>
            maior eſt, quàm A C; </s>
            <s xml:id="echoid-s1616" xml:space="preserve">& </s>
            <s xml:id="echoid-s1617" xml:space="preserve">pro-
              <lb/>
            pterea A D ad A C maiorem
              <lb/>
            proportionem habet, quàm ad
              <lb/>
            A F; </s>
            <s xml:id="echoid-s1618" xml:space="preserve">ponamus ergo, vt A D ad
              <lb/>
            A C, ita D G ad G F in hyper-
              <lb/>
            bola, & </s>
            <s xml:id="echoid-s1619" xml:space="preserve">ellipſi; </s>
            <s xml:id="echoid-s1620" xml:space="preserve">at in parabola
              <lb/>
              <note position="right" xlink:label="note-0066-01" xlink:href="note-0066-01a" xml:space="preserve">b</note>
            ponamus G F æqualem A C, & </s>
            <s xml:id="echoid-s1621" xml:space="preserve">
              <lb/>
            ducatur ex G perpendicularis ad
              <lb/>
            ſectionem. </s>
            <s xml:id="echoid-s1622" xml:space="preserve">Dico, quod ei oc-
              <lb/>
            curret ad B. </s>
            <s xml:id="echoid-s1623" xml:space="preserve">Nam ſi occurrat
              <lb/>
            ſectioni ad aliud punctum, vt H co-
              <lb/>
              <figure xlink:label="fig-0066-02" xlink:href="fig-0066-02a" number="42">
                <image file="0066-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-02"/>
              </figure>
            niuncta H F erit H F breuiſſima (8. </s>
            <s xml:id="echoid-s1624" xml:space="preserve">9.
              <lb/>
            </s>
            <s xml:id="echoid-s1625" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1626" xml:space="preserve">ex quinto) ſed ſuppoſuimus B F eſſe
              <lb/>
            breuiſſimam, quod eſt abſurdum, ergo
              <lb/>
            perpendicularis occurrit ſectioni in B. </s>
            <s xml:id="echoid-s1627" xml:space="preserve">
              <lb/>
            Et quia angulus B G F eſt rectus, erit
              <lb/>
            angulus B F G acutus, quod erat oſten-
              <lb/>
            dendum.</s>
            <s xml:id="echoid-s1628" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div123" type="section" level="1" n="55">
          <head xml:id="echoid-head84" xml:space="preserve">NOTÆ.</head>
          <p style="it">
            <s xml:id="echoid-s1629" xml:space="preserve">ET eius potentialis ſecet menſuram
              <lb/>
            in parabola, &</s>
            <s xml:id="echoid-s1630" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1631" xml:space="preserve">Ideſt, & </s>
            <s xml:id="echoid-s1632" xml:space="preserve">eius po-
              <lb/>
              <note position="right" xlink:label="note-0066-02" xlink:href="note-0066-02a" xml:space="preserve">a</note>
              <figure xlink:label="fig-0066-03" xlink:href="fig-0066-03a" number="43">
                <image file="0066-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-03"/>
              </figure>
            tentialis abſcindet ex menſura vſque ad originem,
              <lb/>
            in parabola quidem ſegmentum æquale compara-
              <lb/>
            tæ, & </s>
            <s xml:id="echoid-s1633" xml:space="preserve">in hyperbola, & </s>
            <s xml:id="echoid-s1634" xml:space="preserve">ellipſi lineam, ad quam
              <lb/>
            inuerſa eandem proporportionem habet, quam la-
              <lb/>
            tus tranſuerſum ad rectum.</s>
            <s xml:id="echoid-s1635" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1636" xml:space="preserve">Et ducatur ex G perpendicularis ad ſectio-
              <lb/>
              <note position="right" xlink:label="note-0066-03" xlink:href="note-0066-03a" xml:space="preserve">b</note>
            nem, &</s>
            <s xml:id="echoid-s1637" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1638" xml:space="preserve">Et ducatur ex G recta linea perpendi-
              <lb/>
            cularis ad axim, & </s>
            <s xml:id="echoid-s1639" xml:space="preserve">producatur vſque ad ſectio-
              <lb/>
            nem.</s>
            <s xml:id="echoid-s1640" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum