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 |< < (149) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div553" type="section" level="1" n="180">
          <p>
            <s xml:id="echoid-s5856" xml:space="preserve">
              <pb o="149" file="0187" n="187" rhead="Conicor. Lib. V."/>
            ergo non congruit portio alicuius
              <lb/>
              <figure xlink:label="fig-0187-01" xlink:href="fig-0187-01a" number="198">
                <image file="0187-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0187-01"/>
              </figure>
            ſectionis portioni alterius ſectionis,
              <lb/>
            cui æqualis non eſt. </s>
            <s xml:id="echoid-s5857" xml:space="preserve">Et hoc erat
              <lb/>
            oſtendendum.</s>
            <s xml:id="echoid-s5858" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div558" type="section" level="1" n="181">
          <head xml:id="echoid-head235" xml:space="preserve">Notæ in Propoſit. III.</head>
          <p>
            <s xml:id="echoid-s5859" xml:space="preserve">ETenim ellipſis non eſt æqualis alicui hyperbolæ, &</s>
            <s xml:id="echoid-s5860" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5861" xml:space="preserve">Suppleri debet in
              <lb/>
            textu verbum (parabolæ) dicendo. </s>
            <s xml:id="echoid-s5862" xml:space="preserve">Etenim ellipſis non eſt æqualis alicui
              <lb/>
              <note position="left" xlink:label="note-0187-01" xlink:href="note-0187-01a" xml:space="preserve">a</note>
            parabolæ, aut hyperbolæ, quia illa eſt determinata; </s>
            <s xml:id="echoid-s5863" xml:space="preserve">hæ verò ſunt indeterminatæ,
              <lb/>
            ſcilicet ellipſis eſt finita parabole verò, & </s>
            <s xml:id="echoid-s5864" xml:space="preserve">hyperbole in infinitum extendi poſ-
              <lb/>
            ſunt, & </s>
            <s xml:id="echoid-s5865" xml:space="preserve">propterea nulla ratione æquales oſtendentur.</s>
            <s xml:id="echoid-s5866" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div560" type="section" level="1" n="182">
          <head xml:id="echoid-head236" xml:space="preserve">Notæ in Propoſit. VI.</head>
          <p>
            <s xml:id="echoid-s5867" xml:space="preserve">QVælibet duæ ſectiones A B C, D E
              <lb/>
              <note position="left" xlink:label="note-0187-02" xlink:href="note-0187-02a" xml:space="preserve">a</note>
            F, quarum vnaquæque literarum
              <lb/>
            ſuperpoſita literis alterius con-
              <lb/>
              <figure xlink:label="fig-0187-02" xlink:href="fig-0187-02a" number="199">
                <image file="0187-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0187-02"/>
              </figure>
            gruit; </s>
            <s xml:id="echoid-s5868" xml:space="preserve">vtique ſunt æquales, &</s>
            <s xml:id="echoid-s5869" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5870" xml:space="preserve">Legendum
              <lb/>
            puto. </s>
            <s xml:id="echoid-s5871" xml:space="preserve">Quælibet duæ ſectiones A B C, & </s>
            <s xml:id="echoid-s5872" xml:space="preserve">D
              <lb/>
            E F, quarum portio vnius, alterius portioni
              <lb/>
            ſuperpoſita congruit ſunt æquales inter ſe.</s>
            <s xml:id="echoid-s5873" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div562" type="section" level="1" n="183">
          <head xml:id="echoid-head237" xml:space="preserve">Notæ in Propoſit. VII.</head>
          <p>
            <s xml:id="echoid-s5874" xml:space="preserve">ORdinationes axis in qualibet hyper-
              <lb/>
              <note position="left" xlink:label="note-0187-03" xlink:href="note-0187-03a" xml:space="preserve">a</note>
              <figure xlink:label="fig-0187-03" xlink:href="fig-0187-03a" number="200">
                <image file="0187-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0187-03"/>
              </figure>
            bolarum abſcindunt à ſectione ex
              <lb/>
            vtraque parte axis duo ſegmenta, quæ,
              <lb/>
            ſi cadit vnum ſuper alterum, ſibi mutuò
              <lb/>
            congruunt, nec excedunt, nec deficiunt,
              <lb/>
            nec congruunt alicui portioni ſectionis,
              <lb/>
            &</s>
            <s xml:id="echoid-s5875" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5876" xml:space="preserve">Expungi debent verba aliqua huius te-
              <lb/>
            xtus ſuperuacanea, & </s>
            <s xml:id="echoid-s5877" xml:space="preserve">aliqua adiungi, vt ſenſus continuus talis ſit. </s>
            <s xml:id="echoid-s5878" xml:space="preserve">Duæ
              <lb/>
            ordinationes axis in qualibet coniſectione abſcindunt à ſectione ex vtraque
              <lb/>
            parte, axis duas portiones, quarum vna alteri ſuperpoſita ſibi mutuò congruent,
              <lb/>
            nec cõgruunt alicui aliæ portioni ſectionis.</s>
            <s xml:id="echoid-s5879" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s5880" xml:space="preserve">Quoniam axis B D bifariam diuidit G H, A C, &</s>
            <s xml:id="echoid-s5881" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5882" xml:space="preserve">Ex eo
              <lb/>
              <note position="left" xlink:label="note-0187-04" xlink:href="note-0187-04a" xml:space="preserve">b</note>
            enim quod omnes applicatæ ad axim B D ſecantur bifariam </s>
          </p>
        </div>
      </text>
    </echo>
Impressum