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
101 63
102 64
103 65
104 66
105 67
106 68
107 69
108 70
109 71
110 72
111 73
112 74
113 75
114 76
115 77
116 78
117 79
118 80
119 81
120 82
121 83
122 84
123 85
124 86
125 87
126 88
127 89
128 90
129 91
130 92
< >
page |< < (210) 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-s7846" xml:space="preserve">
              <pb o="210" file="0248" n="248" rhead="Apollonij Pergæi"/>
            vltra centrum in eadem asymptoti produ{ct}ione A Z; </s>
            <s xml:id="echoid-s7847" xml:space="preserve">aut F I ſupra, & </s>
            <s xml:id="echoid-s7848" xml:space="preserve">G K in-
              <lb/>
            fra centrum A exiſtat: </s>
            <s xml:id="echoid-s7849" xml:space="preserve">In quo libet caſu dicetur, F I vlterius tendere ad partes
              <lb/>
            centri, vel asymptoti A B, quàm G K.</s>
            <s xml:id="echoid-s7850" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7851" xml:space="preserve">Non ſecus ſi ab eadem asymptoto A C educantur quatuor rectæ lineæ inter ſe
              <lb/>
            æquidiſtantes F I, G K, H L, C E, quarum duæ priores F I, G K, centro pro-
              <lb/>
            pinquiores ſint, quando omnes infra centrum A collocantur; </s>
            <s xml:id="echoid-s7852" xml:space="preserve">vel magis à centro
              <lb/>
            recedant, quando omnes in productione A Z exiſtunt; </s>
            <s xml:id="echoid-s7853" xml:space="preserve">aut certe duæ F I, G K
              <lb/>
            ſupra centrum, & </s>
            <s xml:id="echoid-s7854" xml:space="preserve">H L, C E infra centrum exiſtant: </s>
            <s xml:id="echoid-s7855" xml:space="preserve">Tunc ſimiliter in quoli-
              <lb/>
            bet caſu dicentur rectæ lineæ F I, G K vlterius tendere ad partes centri, & </s>
            <s xml:id="echoid-s7856" xml:space="preserve">
              <lb/>
            asympoti A B, quàm duæ aliæ H L, C E.</s>
            <s xml:id="echoid-s7857" xml:space="preserve"/>
          </p>
          <figure number="285">
            <image file="0248-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0248-01"/>
          </figure>
          <note position="left" xml:space="preserve">PROP.2.
            <lb/>
          Addit.</note>
          <p style="it">
            <s xml:id="echoid-s7858" xml:space="preserve">Si in vna aſymptoto A C, hyperboles D E ſumantur duo ſegmenta
              <lb/>
            æqualia F G, H C, & </s>
            <s xml:id="echoid-s7859" xml:space="preserve">à punctis diuiſionum ducantur quatuor rectæ
              <lb/>
            lineæ F I, G K, H L, C E parallelæ inter ſe, vſque ad hyperbolen:
              <lb/>
            </s>
            <s xml:id="echoid-s7860" xml:space="preserve">Dico quod differentia duarum æquidiſtantium F I, G K ad partes cen-
              <lb/>
            tri, & </s>
            <s xml:id="echoid-s7861" xml:space="preserve">alterius aſymptoti A B vlterius tendentium, maior erit differen-
              <lb/>
            tia reliquarum H L, C E.</s>
            <s xml:id="echoid-s7862" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7863" xml:space="preserve">Ducantnr à punctis E, K rectæ
              <lb/>
              <figure xlink:label="fig-0248-02" xlink:href="fig-0248-02a" number="286">
                <image file="0248-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0248-02"/>
              </figure>
            lineæ E S, K R parallelæ asympto-
              <lb/>
            to A C, quæ efficiant parallelogrã-
              <lb/>
            ma C S, G R. </s>
            <s xml:id="echoid-s7864" xml:space="preserve">Patet I R eſſe dif-
              <lb/>
            ferentiam æquidiſtantium F I, & </s>
            <s xml:id="echoid-s7865" xml:space="preserve">
              <lb/>
            G K; </s>
            <s xml:id="echoid-s7866" xml:space="preserve">pariterque L S eſſe differen-
              <lb/>
            tiam æquidiſtantium H L, C E;
              <lb/>
            </s>
            <s xml:id="echoid-s7867" xml:space="preserve">& </s>
            <s xml:id="echoid-s7868" xml:space="preserve">coniungantur rectæ lineæ E I,
              <lb/>
            & </s>
            <s xml:id="echoid-s7869" xml:space="preserve">K I, ducaturque E O parallela
              <lb/>
            I K, ſecans H L in O. </s>
            <s xml:id="echoid-s7870" xml:space="preserve">Et quia
              <lb/>
            recta linea E I cadit intra curuam
              <lb/>
            ſectionem conicam E K I, & </s>
            <s xml:id="echoid-s7871" xml:space="preserve">pun-
              <lb/>
            ctum K eiuſdem conicæ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum