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
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
131 93
132 94
133 95
134 96
135 97
136 98
137 99
138 100
139 101
140 102
< >
page |< < (84) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div329" type="section" level="1" n="109">
          <p style="it">
            <s xml:id="echoid-s3517" xml:space="preserve">
              <pb o="84" file="0122" n="122" rhead="Apollonij Pergæi"/>
            propoſitum deduci, nam duo rami D
              <lb/>
              <figure xlink:label="fig-0122-01" xlink:href="fig-0122-01a" number="103">
                <image file="0122-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0122-01"/>
              </figure>
            C, & </s>
            <s xml:id="echoid-s3518" xml:space="preserve">D N poſiti infra ſingularem
              <lb/>
            breuiſecantem D B efficiunt cum re-
              <lb/>
              <note position="left" xlink:label="note-0122-01" xlink:href="note-0122-01a" xml:space="preserve">I em. 10.</note>
            ctis tangentibus ſectionẽ angulos ver-
              <lb/>
            ticem reſpicientes acutos; </s>
            <s xml:id="echoid-s3519" xml:space="preserve">igitur vt
              <lb/>
            in ſecunda parte propoſitionum 64.
              <lb/>
            </s>
            <s xml:id="echoid-s3520" xml:space="preserve">& </s>
            <s xml:id="echoid-s3521" xml:space="preserve">65. </s>
            <s xml:id="echoid-s3522" xml:space="preserve">demonſtratum eſt, eritramus
              <lb/>
            D N vertici propinquior minor re-
              <lb/>
            motiore ramo D C.</s>
            <s xml:id="echoid-s3523" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3524" xml:space="preserve">Et centro D, interuallo D O
              <lb/>
            circulus deſcriptus ſecabit ſectio-
              <lb/>
            nem exempli gratia in Q (56. </s>
            <s xml:id="echoid-s3525" xml:space="preserve">ex
              <lb/>
              <note position="right" xlink:label="note-0122-02" xlink:href="note-0122-02a" xml:space="preserve">g</note>
            5.) </s>
            <s xml:id="echoid-s3526" xml:space="preserve">& </s>
            <s xml:id="echoid-s3527" xml:space="preserve">iungamus, &</s>
            <s xml:id="echoid-s3528" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3529" xml:space="preserve">Videtur om-
              <lb/>
            nino expungenda citatio in textu appoſita; </s>
            <s xml:id="echoid-s3530" xml:space="preserve">(56. </s>
            <s xml:id="echoid-s3531" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3532" xml:space="preserve">nam circulum O Q ma-
              <lb/>
            nifeſtum eſt, ſecare coniſectionem alicubi, vt in Q, cum radius D O poſitus
              <lb/>
            ſit minor D B, & </s>
            <s xml:id="echoid-s3533" xml:space="preserve">maior D N; </s>
            <s xml:id="echoid-s3534" xml:space="preserve">poſtea, quia D Q propinquior eſt vertici A,
              <lb/>
            quàm D N, & </s>
            <s xml:id="echoid-s3535" xml:space="preserve">omnes rami à D ad peripheriam ſectionis N Q ducti, effici-
              <lb/>
              <note position="left" xlink:label="note-0122-03" xlink:href="note-0122-03a" xml:space="preserve">Lem. 10.
                <lb/>
              Coroll.
                <lb/>
              64. 65.
                <lb/>
              huius.</note>
            unt cum ſuis tangentibus angulos, verticem reſpicientes, acutos; </s>
            <s xml:id="echoid-s3536" xml:space="preserve">igitur D Q mi-
              <lb/>
            nor eſt, quàm D N, quod eſt abſurdum; </s>
            <s xml:id="echoid-s3537" xml:space="preserve">poſita enim fuit D O, ſeu ei æqualis
              <lb/>
            D Q, & </s>
            <s xml:id="echoid-s3538" xml:space="preserve">D P maior, quàm D N.</s>
            <s xml:id="echoid-s3539" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div337" type="section" level="1" n="110">
          <head xml:id="echoid-head151" xml:space="preserve">COROLLARIVM PROPOSIT.
            <lb/>
          LXVII.</head>
          <p style="it">
            <s xml:id="echoid-s3540" xml:space="preserve">A Ngulorum à ramis ſecantibus, qui à cõ-
              <lb/>
              <figure xlink:label="fig-0122-02" xlink:href="fig-0122-02a" number="104">
                <image file="0122-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0122-02"/>
              </figure>
            curſu ad coniſectionem duci poſſunt,
              <lb/>
            cum tangentibus ab eorum terminis ductis cõ-
              <lb/>
            præhenſorum, ſi vnus tantnm rectus fuerit,
              <lb/>
            reliqui omnes verticem reſpicientes acuti; </s>
            <s xml:id="echoid-s3541" xml:space="preserve">ra-
              <lb/>
            mi proximiores vertici ſectionis, minores erũt
              <lb/>
            remotioribus.</s>
            <s xml:id="echoid-s3542" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3543" xml:space="preserve">Ex eo enim, quod in propoſitione 67. </s>
            <s xml:id="echoid-s3544" xml:space="preserve">om-
              <lb/>
            nes rami D A, D L, D C, & </s>
            <s xml:id="echoid-s3545" xml:space="preserve">reliqui om-
              <lb/>
            nes, qui duci poſſunt ex concurſu D ad ſectio-
              <lb/>
            nem A B C, cum tangentibus ſectionem à ter-
              <lb/>
            minis A, L, C compræhenderunt angulos ver-
              <lb/>
            ticem reſpicientes D A V, D L G, D C P
              <lb/>
            acutos, & </s>
            <s xml:id="echoid-s3546" xml:space="preserve">tantummodo vnus D B I rectus fuit
              <lb/>
            oſtenſus eſt ramus D A minor, quàm D L, & </s>
            <s xml:id="echoid-s3547" xml:space="preserve">D L vertici A propinquior, mi-
              <lb/>
            nor, quàm D B, atq; </s>
            <s xml:id="echoid-s3548" xml:space="preserve">D B minor quolibet remotiore D C.</s>
            <s xml:id="echoid-s3549" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum