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
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
141 103
142 104
143 105
144 106
145 107
146 108
147 109
148 110
149 111
150 112
< >
page |< < (192) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div665" type="section" level="1" n="221">
          <p>
            <s xml:id="echoid-s7274" xml:space="preserve">
              <pb o="192" file="0230" n="230" rhead="Apollonij Pergæi"/>
            huius) atque A N pa-
              <lb/>
              <figure xlink:label="fig-0230-01" xlink:href="fig-0230-01a" number="259">
                <image file="0230-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0230-01"/>
              </figure>
            rallela erit L O. </s>
            <s xml:id="echoid-s7275" xml:space="preserve">Edu-
              <lb/>
            catur iam R Q bifariã
              <lb/>
            diuidens A E, L M in
              <lb/>
            P, Q: </s>
            <s xml:id="echoid-s7276" xml:space="preserve">quare erit diame
              <lb/>
              <note position="left" xlink:label="note-0230-01" xlink:href="note-0230-01a" xml:space="preserve">28. lib. 2.</note>
            ter ſectionis (32. </s>
            <s xml:id="echoid-s7277" xml:space="preserve">ex 2.)
              <lb/>
            </s>
            <s xml:id="echoid-s7278" xml:space="preserve">& </s>
            <s xml:id="echoid-s7279" xml:space="preserve">educatur R V paral-
              <lb/>
            lela A N, quæ ſectionẽ
              <lb/>
              <note position="left" xlink:label="note-0230-02" xlink:href="note-0230-02a" xml:space="preserve">17. lib. 1.</note>
            continget (18. </s>
            <s xml:id="echoid-s7280" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s7281" xml:space="preserve">.
              <lb/>
            </s>
            <s xml:id="echoid-s7282" xml:space="preserve">Et quia duo ſegmen-
              <lb/>
            ta L M, A E ſunt ſi-
              <lb/>
            milia habebit maior
              <lb/>
              <note position="left" xlink:label="note-0230-03" xlink:href="note-0230-03a" xml:space="preserve">16. 17.
                <lb/>
              huius.</note>
            Q R ad eandem R V
              <lb/>
            eandem proportionẽ,
              <lb/>
            quàm habet minor R
              <lb/>
            P; </s>
            <s xml:id="echoid-s7283" xml:space="preserve">quod eſt abſurdum.
              <lb/>
            </s>
            <s xml:id="echoid-s7284" xml:space="preserve">Quare non ſunt ſimilia
              <lb/>
            duo ſegmenta A E, C
              <lb/>
            F alteri ſegmento. </s>
            <s xml:id="echoid-s7285" xml:space="preserve">
              <lb/>
            Quod erat oſtenden-
              <lb/>
            dum.</s>
            <s xml:id="echoid-s7286" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div668" type="section" level="1" n="222">
          <head xml:id="echoid-head280" xml:space="preserve">Notæ in Propoſit. XVIII. & XIX.</head>
          <p style="it">
            <s xml:id="echoid-s7287" xml:space="preserve">QVuoniam vnumquodque corum alteri congruit, nec non congruunt
              <lb/>
            duo ſegmenta G I, K H in ellipſi (7. </s>
            <s xml:id="echoid-s7288" xml:space="preserve">8. </s>
            <s xml:id="echoid-s7289" xml:space="preserve">ex 6.) </s>
            <s xml:id="echoid-s7290" xml:space="preserve">at non ſunt ſimilia
              <lb/>
              <note position="right" xlink:label="note-0230-04" xlink:href="note-0230-04a" xml:space="preserve">a</note>
            alteri ſegmento, &</s>
            <s xml:id="echoid-s7291" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7292" xml:space="preserve">Ideſt. </s>
            <s xml:id="echoid-s7293" xml:space="preserve">Sit prius ſectio A B C parabole, vel
              <lb/>
            hyperbole. </s>
            <s xml:id="echoid-s7294" xml:space="preserve">Quoniam duæ A C, & </s>
            <s xml:id="echoid-s7295" xml:space="preserve">E F ordinatim ad axim B D applicatæ ab-
              <lb/>
              <note position="left" xlink:label="note-0230-05" xlink:href="note-0230-05a" xml:space="preserve">7. huius.</note>
            ſcindunt ex vtraque parte axis duo ſegmen-
              <lb/>
              <figure xlink:label="fig-0230-02" xlink:href="fig-0230-02a" number="260">
                <image file="0230-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0230-02"/>
              </figure>
            ta A E, & </s>
            <s xml:id="echoid-s7296" xml:space="preserve">C F congruentia, propterea ſi-
              <lb/>
            milia erunt, atque ſimiliter poſita. </s>
            <s xml:id="echoid-s7297" xml:space="preserve">Secundo,
              <lb/>
            in ellipſi ductæ ſint ad axim quatuor ordina-
              <lb/>
            tim applicatæ, quarum binæ extremæ E F,
              <lb/>
            & </s>
            <s xml:id="echoid-s7298" xml:space="preserve">I K æqualiter à centro D diſtent; </s>
            <s xml:id="echoid-s7299" xml:space="preserve">pari-
              <lb/>
            terque binæ intermediæ A C, & </s>
            <s xml:id="echoid-s7300" xml:space="preserve">G H æqua-
              <lb/>
              <note position="left" xlink:label="note-0230-06" xlink:href="note-0230-06a" xml:space="preserve">8. huius.</note>
            liter diſtent ab eodem centro: </s>
            <s xml:id="echoid-s7301" xml:space="preserve">quare quatuor
              <lb/>
            ſegmenta G I, H K, C F, & </s>
            <s xml:id="echoid-s7302" xml:space="preserve">A E æqualia
              <lb/>
            erunt, & </s>
            <s xml:id="echoid-s7303" xml:space="preserve">ſibi mutuo congruent, & </s>
            <s xml:id="echoid-s7304" xml:space="preserve">propterea
              <lb/>
            ſimilid quoque inter ſe erunt.</s>
            <s xml:id="echoid-s7305" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s7306" xml:space="preserve">Erit angulus N æqualis O, vti demõ-
              <lb/>
              <note position="right" xlink:label="note-0230-07" xlink:href="note-0230-07a" xml:space="preserve">b</note>
            ſtrauimus, &</s>
            <s xml:id="echoid-s7307" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7308" xml:space="preserve">Quoniam duo ſegmenta L
              <lb/>
            M, & </s>
            <s xml:id="echoid-s7309" xml:space="preserve">A E, ponuntur ſimilia, atque eorum
              <lb/>
            baſes L M, & </s>
            <s xml:id="echoid-s7310" xml:space="preserve">A E productæ occurrunt axi
              <lb/>
            in O, & </s>
            <s xml:id="echoid-s7311" xml:space="preserve">N: </s>
            <s xml:id="echoid-s7312" xml:space="preserve">igitur vt demonſtratum eſt,
              <lb/>
              <note position="left" xlink:label="note-0230-08" xlink:href="note-0230-08a" xml:space="preserve">Prop 16.
                <lb/>
              17. huius.</note>
            anguli à contingentibus verticalibus ſegmen-
              <lb/>
            torum ſimilium L M, & </s>
            <s xml:id="echoid-s7313" xml:space="preserve">A E cum axi com-
              <lb/>
            muni B D eiuſdem ſectionis continebunt </s>
          </p>
        </div>
      </text>
    </echo>
Impressum