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
141 103
142 104
143 105
144 106
145 107
146 108
147 109
148 110
149 111
150 112
151 113
152 114
153 115
154 116
155 117
156 118
157 119
158 120
159 121
160 122
161 123
162 124
163 125
164 126
165 127
166 128
167 129
168 130
169 131
170 132
< >
page |< < (297) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div915" type="section" level="1" n="286">
          <p style="it">
            <s xml:id="echoid-s10774" xml:space="preserve">
              <pb o="297" file="0335" n="336" rhead="Conicor. Lib. VII."/>
            indirectum additur S C,
              <lb/>
              <figure xlink:label="fig-0335-01" xlink:href="fig-0335-01a" number="388">
                <image file="0335-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0335-01"/>
              </figure>
            erit rectangulum M C S
              <lb/>
            cum quadrato ex A S, ſeu
              <lb/>
            ex Q R æquale quadrato
              <lb/>
            ipſius A C; </s>
            <s xml:id="echoid-s10775" xml:space="preserve">ergo rectangu-
              <lb/>
            lum M C S æquale eſt dif-
              <lb/>
            ferentiæ quadrati A C à
              <lb/>
            quadrato Q R: </s>
            <s xml:id="echoid-s10776" xml:space="preserve">pariratione
              <lb/>
            rectangulum K L T vna
              <lb/>
            cum quadrato N O æquale
              <lb/>
            erit quadrato I L: </s>
            <s xml:id="echoid-s10777" xml:space="preserve">ergo ſi-
              <lb/>
            militer rectangulum K L T æquale eſt differentiæ quadratorum ex I L, & </s>
            <s xml:id="echoid-s10778" xml:space="preserve">ex
              <lb/>
            N O; </s>
            <s xml:id="echoid-s10779" xml:space="preserve">eſtquè quadratum I L maius quadrato A C, cum diameter I L in hyper-
              <lb/>
            bola maior ſit, quàm axis C A; </s>
            <s xml:id="echoid-s10780" xml:space="preserve">igitur rectangulum K L T vna cum quadrato
              <lb/>
            N O maius erit rectangulo M C S vna cum quadrato Q R: </s>
            <s xml:id="echoid-s10781" xml:space="preserve">eſt verò rectangu-
              <lb/>
            lum M C S æquale rectangulo K L T (cum ſint differentiæ quadratorum ex con-
              <lb/>
              <note position="right" xlink:label="note-0335-01" xlink:href="note-0335-01a" xml:space="preserve">Prop. 12.
                <lb/>
              huius.</note>
            iugatis diametris, quæ in hyperbola oſtenſæ ſunt æquales); </s>
            <s xml:id="echoid-s10782" xml:space="preserve">ergo quadratum N
              <lb/>
              <figure xlink:label="fig-0335-02" xlink:href="fig-0335-02a" number="389">
                <image file="0335-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0335-02"/>
              </figure>
            O, ſcilicet reſiduum maioris ſummæ, maius erit quadrato Q R, quod eſt reſi-
              <lb/>
            duum ſummæ minoris: </s>
            <s xml:id="echoid-s10783" xml:space="preserve">& </s>
            <s xml:id="echoid-s10784" xml:space="preserve">propterea N O maior erit, quàm Q R: </s>
            <s xml:id="echoid-s10785" xml:space="preserve">erat autem
              <lb/>
            I L maior quàm C A; </s>
            <s xml:id="echoid-s10786" xml:space="preserve">igitur I L cum N O, ſeu K L maior erit, quàm A C,
              <lb/>
            & </s>
            <s xml:id="echoid-s10787" xml:space="preserve">Q R ſimul, ſiue quàm M C: </s>
            <s xml:id="echoid-s10788" xml:space="preserve">ſed in rectangulis M C S, & </s>
            <s xml:id="echoid-s10789" xml:space="preserve">K L T æquali-
              <lb/>
            bus, vt K L ad M C, ita reciprocè C S ad L T; </s>
            <s xml:id="echoid-s10790" xml:space="preserve">igitur C S, ſeu differentia
              <lb/>
            ipſarum A C, & </s>
            <s xml:id="echoid-s10791" xml:space="preserve">Q R maior eſt, quàm L T, ſeu differentia ipſarum I L, & </s>
            <s xml:id="echoid-s10792" xml:space="preserve">
              <lb/>
            N O in hyperbola.</s>
            <s xml:id="echoid-s10793" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s10794" xml:space="preserve">Si poſtea præter I L ponatur alia diameter ab axe remotior cum ſua coniu-
              <lb/>
            gata erit ſimiliter differentia quadratorum ex diametris coniugatis remotiori-
              <lb/>
            bus ab axi æqualis differentiæ quadratorum axium A C, & </s>
            <s xml:id="echoid-s10795" xml:space="preserve">Q R, & </s>
            <s xml:id="echoid-s10796" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum