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 |< < (223) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div711" type="section" level="1" n="234">
          <p style="it">
            <s xml:id="echoid-s8374" xml:space="preserve">
              <pb o="223" file="0261" n="261" rhead="Conicor. Lib. VI."/>
            ad axim ducantur rami breuiſſimi O B, Q P præter axim A O, & </s>
            <s xml:id="echoid-s8375" xml:space="preserve">ſecent ex-
              <lb/>
              <note position="right" xlink:label="note-0261-01" xlink:href="note-0261-01a" xml:space="preserve">8. 9. & 10.
                <lb/>
              lib. 5.</note>
            ternam curuam in G, E, R, & </s>
            <s xml:id="echoid-s8376" xml:space="preserve">occurſui Z, vel communi asymptoto I M N,
              <lb/>
              <figure xlink:label="fig-0261-01" xlink:href="fig-0261-01a" number="306">
                <image file="0261-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0261-01"/>
              </figure>
            aut vicinioribus asymptotis I K, M N ſit A G propinquior, quàm E B, & </s>
            <s xml:id="echoid-s8377" xml:space="preserve">E B
              <lb/>
            propinquior, quàm R P: </s>
            <s xml:id="echoid-s8378" xml:space="preserve">Oſtendendum eſt curuarum diſtantiam A G minorem
              <lb/>
            eße, quàm B E, & </s>
            <s xml:id="echoid-s8379" xml:space="preserve">B E, quàm P R. </s>
            <s xml:id="echoid-s8380" xml:space="preserve">Ducantur interceptæ G S parallela E B,
              <lb/>
            & </s>
            <s xml:id="echoid-s8381" xml:space="preserve">E X parallela R P. </s>
            <s xml:id="echoid-s8382" xml:space="preserve">Et quia in parabola angulus Y D A rectus ſupponitur,
              <lb/>
              <note position="right" xlink:label="note-0261-02" xlink:href="note-0261-02a" xml:space="preserve">SCHO-
                <lb/>
              LIVM.
                <lb/>
              Prop. 6.
                <lb/>
              addit.</note>
            & </s>
            <s xml:id="echoid-s8383" xml:space="preserve">in hyperbola non eſt minor ſemirecto, ergo quilibet ramus breuiſſimus E B,
              <lb/>
            vel R P æquidiſtans erit rectæ lineæ diuidenti angulum A D Y in parabsla, & </s>
            <s xml:id="echoid-s8384" xml:space="preserve">
              <lb/>
            angulum M I H in hyperbola; </s>
            <s xml:id="echoid-s8385" xml:space="preserve">ſed duarum parallelarum E B, G S, vel R P,
              <lb/>
            E X eſt G S vertici propinquior, vel vlterius tendit ad partes asymptoti I K,
              <lb/>
            quàm E B; </s>
            <s xml:id="echoid-s8386" xml:space="preserve">ergo G S minor eſt, quàm E B; </s>
            <s xml:id="echoid-s8387" xml:space="preserve">eſtque G A minor, quàm G S, quia
              <lb/>
              <note position="right" xlink:label="note-0261-03" xlink:href="note-0261-03a" xml:space="preserve">Prop. 3. 4.
                <lb/>
              addit.
                <lb/>
              7. & 38.
                <lb/>
              lib. 5.</note>
            illa eſt portio, vel productio lineæ breuiſſimæ O A; </s>
            <s xml:id="echoid-s8388" xml:space="preserve">igitur G A adhuc minor erit
              <lb/>
              <figure xlink:label="fig-0261-02" xlink:href="fig-0261-02a" number="307">
                <image file="0261-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0261-02"/>
              </figure>
            quàm E B. </s>
            <s xml:id="echoid-s8389" xml:space="preserve">Eadem ratione E B minor oſtendetur, quàm R P. </s>
            <s xml:id="echoid-s8390" xml:space="preserve">Poſtea ſi occur-
              <lb/>
            ſus Z cadit extra duos axes, inter axim A G, & </s>
            <s xml:id="echoid-s8391" xml:space="preserve">occurſum aut ad partes </s>
          </p>
        </div>
      </text>
    </echo>
Impressum