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 |< < (123) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div447" type="section" level="1" n="137">
          <pb o="123" file="0161" n="161" rhead="Conicor. Lib. V."/>
        </div>
        <div xml:id="echoid-div450" type="section" level="1" n="138">
          <head xml:id="echoid-head184" xml:space="preserve">Notæ in Propoſ. XXIII. XXIV.</head>
          <p>
            <s xml:id="echoid-s4862" xml:space="preserve">EContra linea maxima, ſi non egredia-
              <lb/>
              <note position="left" xlink:label="note-0161-01" xlink:href="note-0161-01a" xml:space="preserve">a</note>
              <figure xlink:label="fig-0161-01" xlink:href="fig-0161-01a" number="154">
                <image file="0161-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0161-01"/>
              </figure>
            tur ex centro, continet cum mẽſura
              <lb/>
            angulum acutum, & </s>
            <s xml:id="echoid-s4863" xml:space="preserve">proportio illius in-
              <lb/>
            uerſæ ad abſciſſam eius potentialis ex mẽ-
              <lb/>
            ſura cum origine, eſt vt proportio figuræ
              <lb/>
            recti. </s>
            <s xml:id="echoid-s4864" xml:space="preserve">Si verò fuerit extra centrum, erit
              <lb/>
            perpendicularis ſuper rectum, &</s>
            <s xml:id="echoid-s4865" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4866" xml:space="preserve">Mani-
              <lb/>
            feſtè nõ nulla in textu Arabicc
              <unsure/>
            deficiunt; </s>
            <s xml:id="echoid-s4867" xml:space="preserve">ali-
              <lb/>
            qua verò immutari debent; </s>
            <s xml:id="echoid-s4868" xml:space="preserve">alioquin propo-
              <lb/>
            ſitio vera non eſſet, itaque legendum puto: </s>
            <s xml:id="echoid-s4869" xml:space="preserve">E
              <lb/>
            contra ſi maximi rami origo ponatur in axi
              <lb/>
            minore, &</s>
            <s xml:id="echoid-s4870" xml:space="preserve">c: </s>
            <s xml:id="echoid-s4871" xml:space="preserve">Vt in textu babetur.</s>
            <s xml:id="echoid-s4872" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4873" xml:space="preserve">Sit ſectio A B C elliptica, & </s>
            <s xml:id="echoid-s4874" xml:space="preserve">E origo, & </s>
            <s xml:id="echoid-s4875" xml:space="preserve">E F linea maxima, &</s>
            <s xml:id="echoid-s4876" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4877" xml:space="preserve">Ad-
              <lb/>
              <note position="left" xlink:label="note-0161-02" xlink:href="note-0161-02a" xml:space="preserve">b</note>
            didi pariter in bac expoſitione verba, quæ deſiciunt; </s>
            <s xml:id="echoid-s4878" xml:space="preserve">nimirum: </s>
            <s xml:id="echoid-s4879" xml:space="preserve">Sit centrum
              <lb/>
            D, & </s>
            <s xml:id="echoid-s4880" xml:space="preserve">origo E, quæ ſit in axi minori A C.</s>
            <s xml:id="echoid-s4881" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4882" xml:space="preserve">Et ideo D C ad dimidium erecti eſt linea minor, quàm D C, & </s>
            <s xml:id="echoid-s4883" xml:space="preserve">ſit D
              <lb/>
              <note position="left" xlink:label="note-0161-03" xlink:href="note-0161-03a" xml:space="preserve">c</note>
            G ad G E, &</s>
            <s xml:id="echoid-s4884" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4885" xml:space="preserve">Nonnulla adiungi debent buic textui corruptiſsimo, ne ſint
              <lb/>
            verba nil prorſus ſignificantia, itaque ſic legendum puto. </s>
            <s xml:id="echoid-s4886" xml:space="preserve">Et ideo aliqua minor,
              <lb/>
            quàm D C ad reſiduam vſque ad E eandem proportionem babebit, quàm D C ad
              <lb/>
            ſemiſſem erecti; </s>
            <s xml:id="echoid-s4887" xml:space="preserve">& </s>
            <s xml:id="echoid-s4888" xml:space="preserve">ſit D G ad G E, &</s>
            <s xml:id="echoid-s4889" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4890" xml:space="preserve">Quæ verba breuiſsimè more Apollonij
              <lb/>
            expoſita ſic confirmantur. </s>
            <s xml:id="echoid-s4891" xml:space="preserve">Quia E C oſtenſa eſt minor dimidio erecti axis mi-
              <lb/>
            noris C A, fiat C K æqualis dimidio erecti; </s>
            <s xml:id="echoid-s4892" xml:space="preserve">erit E C minor quàm C K,
              <lb/>
            & </s>
            <s xml:id="echoid-s4893" xml:space="preserve">ablata communi D C erit D E minor, quàm K D; </s>
            <s xml:id="echoid-s4894" xml:space="preserve">& </s>
            <s xml:id="echoid-s4895" xml:space="preserve">propterea D E ad ean-
              <lb/>
            dem D C minorem proportionem babebit, quàm K D: </s>
            <s xml:id="echoid-s4896" xml:space="preserve">fiat E D a d D G, vt K
              <lb/>
            D ad D C, erit D G minor, quàm D C: </s>
            <s xml:id="echoid-s4897" xml:space="preserve">& </s>
            <s xml:id="echoid-s4898" xml:space="preserve">componendo, E G ad G D eandem
              <lb/>
            proportionem babebit, quàm K C ad C D, & </s>
            <s xml:id="echoid-s4899" xml:space="preserve">inuertendo, D G ad G E eandem
              <lb/>
            proportionem babebit, quàm D C ſemiſsis axis recti ad C K ſemiſsim erecti
              <lb/>
            eiuſdem axis; </s>
            <s xml:id="echoid-s4900" xml:space="preserve">& </s>
            <s xml:id="echoid-s4901" xml:space="preserve">ex G ducatur G F perpendicularis ad axim, quàm, dico, oc-
              <lb/>
            currere ſectioni in F termino maximi rami E F.</s>
            <s xml:id="echoid-s4902" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4903" xml:space="preserve">Et ſi maxima fuerit extra centrum, vt D B erit perpendicularis, &</s>
            <s xml:id="echoid-s4904" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s4905" xml:space="preserve">
              <note position="left" xlink:label="note-0161-04" xlink:href="note-0161-04a" xml:space="preserve">d</note>
            Textus euidenter corruptus ſic corrigi debet. </s>
            <s xml:id="echoid-s4906" xml:space="preserve">Si verò ramus maximus educatur
              <lb/>
            ex centro, vt D B, &</s>
            <s xml:id="echoid-s4907" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4908" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div455" type="section" level="1" n="139">
          <head xml:id="echoid-head185" xml:space="preserve">Notæ in Propoſ. XXXV.</head>
          <p>
            <s xml:id="echoid-s4909" xml:space="preserve">SI producatur vna linearum maximarum, vt E B ad latus illius originis
              <lb/>
              <note position="left" xlink:label="note-0161-05" xlink:href="note-0161-05a" xml:space="preserve">a</note>
            E ad punctum F, fiet maxima linearum egredientium ab illo puncto
              <lb/>
            F G, F H, F I, F A ad ſectionem B I A in directum, & </s>
            <s xml:id="echoid-s4910" xml:space="preserve">propinquior illi
              <lb/>
            maior eſt remotiore, &</s>
            <s xml:id="echoid-s4911" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4912" xml:space="preserve">Immutaui nonnulla, quæ ad propoſitionis integrita-
              <lb/>
            tem facerc videbantur: </s>
            <s xml:id="echoid-s4913" xml:space="preserve">vt in textu babetur.</s>
            <s xml:id="echoid-s4914" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum