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
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
171 133
172 134
173 135
174 136
175 137
176 138
177 139
178 140
179 141
180 142
< >
page |< < (169) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div619" type="section" level="1" n="207">
          <p>
            <s xml:id="echoid-s6508" xml:space="preserve">
              <pb o="169" file="0207" n="207" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0207-01" xlink:href="fig-0207-01a" number="227">
                <image file="0207-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0207-01"/>
              </figure>
            prima figura extra duo ſegmenta, & </s>
            <s xml:id="echoid-s6509" xml:space="preserve">in ſecunda intra, at in ter-
              <lb/>
            tia intra duos ſemicirculos), & </s>
            <s xml:id="echoid-s6510" xml:space="preserve">fuerit proportio plani rectan-
              <lb/>
            guli ex portionibus lineæ baſis inter angulum prouenientem, & </s>
            <s xml:id="echoid-s6511" xml:space="preserve">
              <lb/>
            duos angulos reliquos trianguli, nempe A H in H C ad qua-
              <lb/>
              <note position="left" xlink:label="note-0207-01" xlink:href="note-0207-01a" xml:space="preserve">2</note>
            dratum interceptæ inter prouenientem angulum, & </s>
            <s xml:id="echoid-s6512" xml:space="preserve">circuli peri-
              <lb/>
            pheriam, nempe ad quadratum H B in quolibet caſu eadem
              <lb/>
            ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
              <lb/>
            quadratum H T ſit, vt D I in I F ad quadratum I G; </s>
            <s xml:id="echoid-s6513" xml:space="preserve">ſintque
              <lb/>
            duo priores anguli, inter ſe æquales, & </s>
            <s xml:id="echoid-s6514" xml:space="preserve">prouenientes extra duo
              <lb/>
            triangula poſiti: </s>
            <s xml:id="echoid-s6515" xml:space="preserve">vel duo priores recti, & </s>
            <s xml:id="echoid-s6516" xml:space="preserve">prouenientes intra
              <lb/>
              <note position="left" xlink:label="note-0207-02" xlink:href="note-0207-02a" xml:space="preserve">3</note>
            duos angulos non ſint recti; </s>
            <s xml:id="echoid-s6517" xml:space="preserve">aut duo priores non recti, & </s>
            <s xml:id="echoid-s6518" xml:space="preserve">pro-
              <lb/>
              <note position="left" xlink:label="note-0207-03" xlink:href="note-0207-03a" xml:space="preserve">4</note>
            uenientes recti intra duo triangula: </s>
            <s xml:id="echoid-s6519" xml:space="preserve">vel duo priores diuerſæ,
              <lb/>
              <note position="left" xlink:label="note-0207-04" xlink:href="note-0207-04a" xml:space="preserve">5</note>
            aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
              <lb/>
            les cum lateribus duorum triangulorum ſubtendentibus angulos
              <lb/>
            prouenientes: </s>
            <s xml:id="echoid-s6520" xml:space="preserve">vtique duo priora triangula ſunt ſimilia.</s>
            <s xml:id="echoid-s6521" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6522" xml:space="preserve">Quia C H in H A; </s>
            <s xml:id="echoid-s6523" xml:space="preserve">nempe T H in H B ad quadratum H B, quod eſt,
              <lb/>
            vt H T ad H B eandem proportionem habet, quàm D I in I F, nempe
              <lb/>
              <figure xlink:label="fig-0207-02" xlink:href="fig-0207-02a" number="228">
                <image file="0207-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0207-02"/>
              </figure>
            G I in I E ad quadratum I E, quod eſt vt I G ad I E, erit B H ad H T,
              <lb/>
            vt E I ad I G; </s>
            <s xml:id="echoid-s6524" xml:space="preserve">ſimiliter, & </s>
            <s xml:id="echoid-s6525" xml:space="preserve">eorum quadrata; </s>
            <s xml:id="echoid-s6526" xml:space="preserve">oſtendetur igitur ex </s>
          </p>
        </div>
      </text>
    </echo>
Impressum