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
131 93
132 94
133 95
134 96
135 97
136 98
137 99
138 100
139 101
140 102
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
< >
page |< < (191) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div659" type="section" level="1" n="220">
          <p style="it">
            <s xml:id="echoid-s7252" xml:space="preserve">
              <pb o="191" file="0229" n="229" rhead="Conicor. Lib. VI."/>
            ad A M eandem
              <lb/>
              <figure xlink:label="fig-0229-01" xlink:href="fig-0229-01a" number="257">
                <image file="0229-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0229-01"/>
              </figure>
            proportionem ha-
              <lb/>
            bebit, quàm X O
              <lb/>
            C ad quadratum
              <lb/>
            O C, ſeu eandẽ,
              <lb/>
            quàm habet X O
              <lb/>
            ad C O, & </s>
            <s xml:id="echoid-s7253" xml:space="preserve">com-
              <lb/>
            parando conſequẽ
              <lb/>
            tes ad differẽtias
              <lb/>
            terminorum M A
              <lb/>
            ad A T eandem
              <lb/>
            proportionem ha-
              <lb/>
            bebit, quàm O C
              <lb/>
            ad C X: </s>
            <s xml:id="echoid-s7254" xml:space="preserve">erat autẽ
              <lb/>
            prius T A ad A
              <lb/>
            E, vt X C ad C F; </s>
            <s xml:id="echoid-s7255" xml:space="preserve">igitur ex æquali M A ad A E erit, vt O C ad C F, & </s>
            <s xml:id="echoid-s7256" xml:space="preserve">fue-
              <lb/>
            runt oſtenſi anguli E, & </s>
            <s xml:id="echoid-s7257" xml:space="preserve">F æquales. </s>
            <s xml:id="echoid-s7258" xml:space="preserve">Quod erat oſtendendum.</s>
            <s xml:id="echoid-s7259" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div665" type="section" level="1" n="221">
          <head xml:id="echoid-head278" xml:space="preserve">SECTIO SEPTIMA</head>
          <head xml:id="echoid-head279" xml:space="preserve">Continens Propoſit. XVIII. & XIX.</head>
          <p>
            <s xml:id="echoid-s7260" xml:space="preserve">CViuslibet ſectionis A B C duo ſegmenta C F, A E ca-
              <lb/>
            dentia inter duas ordinationes A C, E F ad vtraſque par-
              <lb/>
            tes axis B V ſunt inter ſe ſimilia, & </s>
            <s xml:id="echoid-s7261" xml:space="preserve">ſimiliter poſita, nec ſunt
              <lb/>
            ſimilia alteri ſegmento (niſi
              <lb/>
              <figure xlink:label="fig-0229-02" xlink:href="fig-0229-02a" number="258">
                <image file="0229-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0229-02"/>
              </figure>
            in ellipſi, in qua quatuor ſeg
              <lb/>
            menta memorata in propo-
              <lb/>
            ſitione 8. </s>
            <s xml:id="echoid-s7262" xml:space="preserve">ſunt æqualia, ſimi-
              <lb/>
            lia, & </s>
            <s xml:id="echoid-s7263" xml:space="preserve">ſimiliter poſita, quæ al-
              <lb/>
            teri ſegmẽto ſimilia nõ ſunt.</s>
            <s xml:id="echoid-s7264" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7265" xml:space="preserve">Quoniam vnumquodque eo-
              <lb/>
              <note position="left" xlink:label="note-0229-01" xlink:href="note-0229-01a" xml:space="preserve">a</note>
            rum alteri congruit, nec non cõ-
              <lb/>
            gruunt duo ſegmenta GI, K H
              <lb/>
            in ellipſi (7. </s>
            <s xml:id="echoid-s7266" xml:space="preserve">8. </s>
            <s xml:id="echoid-s7267" xml:space="preserve">ex 6.) </s>
            <s xml:id="echoid-s7268" xml:space="preserve">at non ſunt
              <lb/>
            ſimilia alteri ſegmento: </s>
            <s xml:id="echoid-s7269" xml:space="preserve">ſi enim
              <lb/>
            hoc fieri poteſt, ſit ſegmentum
              <lb/>
            L M ſimile ſegmento F C. </s>
            <s xml:id="echoid-s7270" xml:space="preserve">Et
              <lb/>
            quia F C congruit A E. </s>
            <s xml:id="echoid-s7271" xml:space="preserve">Ergo
              <lb/>
            duo ſegmenta L M, A E ſunt
              <lb/>
            ſimilia, producamus A E, L M
              <lb/>
            quouſque occurrant axi in N,
              <lb/>
              <note position="left" xlink:label="note-0229-02" xlink:href="note-0229-02a" xml:space="preserve">b</note>
            O, erit angulus N æqualis O (vti
              <lb/>
            demonſtrauimus in 16. </s>
            <s xml:id="echoid-s7272" xml:space="preserve">& </s>
            <s xml:id="echoid-s7273" xml:space="preserve">17.</s>
            <s xml:id="echoid-s7274" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum