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 |< < (97) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div371" type="section" level="1" n="119">
          <p style="it">
            <s xml:id="echoid-s3950" xml:space="preserve">
              <pb o="97" file="0135" n="135" rhead="Conicor. Lib. V."/>
            rectum, & </s>
            <s xml:id="echoid-s3951" xml:space="preserve">reliqui omnes rami cadentes ſuper totum arcũ G B, conſtituunt cum
              <lb/>
              <note position="right" xlink:label="note-0135-01" xlink:href="note-0135-01a" xml:space="preserve">Lem. 12.</note>
            ſuis tangentibus angulos acutos, reſpicientes verticem C; </s>
            <s xml:id="echoid-s3952" xml:space="preserve">igitur quilibet ramus
              <lb/>
              <note position="right" xlink:label="note-0135-02" xlink:href="note-0135-02a" xml:space="preserve">Coroll.
                <lb/>
              prop. 67.
                <lb/>
              huius.</note>
            E B propinquior vertici C minor eſt quolibet remotiore ramo E K, & </s>
            <s xml:id="echoid-s3953" xml:space="preserve">E K mi-
              <lb/>
            nor eſt remotiore E G: </s>
            <s xml:id="echoid-s3954" xml:space="preserve">& </s>
            <s xml:id="echoid-s3955" xml:space="preserve">propterea ramus E G maximus eſt omnium cadentium
              <lb/>
            ad peripheriam C B G. </s>
            <s xml:id="echoid-s3956" xml:space="preserve">Poſtremò, quia ramorum cadentium inter breuiſecan-
              <lb/>
            tem E G, & </s>
            <s xml:id="echoid-s3957" xml:space="preserve">remotiorem verticem A axis maioris, vnicus tantũ E G efficit cum
              <lb/>
              <note position="right" xlink:label="note-0135-03" xlink:href="note-0135-03a" xml:space="preserve">29. 30.
                <lb/>
              huius.</note>
            ſua tangente angulum E G N rectum; </s>
            <s xml:id="echoid-s3958" xml:space="preserve">reliqui vero omnes cadentes inter G, & </s>
            <s xml:id="echoid-s3959" xml:space="preserve">
              <lb/>
            A efficiunt cum ſuis tangentibus angulos, reſpicientes verticem A remotiorem,
              <lb/>
              <note position="right" xlink:label="note-0135-04" xlink:href="note-0135-04a" xml:space="preserve">I em. 12.
                <lb/>
              huius.</note>
            acutos; </s>
            <s xml:id="echoid-s3960" xml:space="preserve">igitur (ex Corollario propoſ. </s>
            <s xml:id="echoid-s3961" xml:space="preserve">67. </s>
            <s xml:id="echoid-s3962" xml:space="preserve">huius) ramus E G maior eſt quolibet
              <lb/>
            ramo E O vertici A propinquiore, & </s>
            <s xml:id="echoid-s3963" xml:space="preserve">E O maior eſt, quàm E A: </s>
            <s xml:id="echoid-s3964" xml:space="preserve">quapropter
              <lb/>
            breuiſecans E G vtrumque axim abſcindens maximus eſt omnium ex E caden-
              <lb/>
            tium ad ſemiperipheriam ellipſis C B A, & </s>
            <s xml:id="echoid-s3965" xml:space="preserve">ramus E C, vt in præcedenti dictũ
              <lb/>
            eſt, minimus erit omnium, atque propinquiores maximo ex eadem parte maio-
              <lb/>
            res erunt remotioribus, & </s>
            <s xml:id="echoid-s3966" xml:space="preserve">cadentium ad peripheriam C B G minimo C E pro-
              <lb/>
            pinquiores, minores erunt remotioribus, quod erat oſtendendum.</s>
            <s xml:id="echoid-s3967" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div374" type="section" level="1" n="120">
          <head xml:id="echoid-head163" xml:space="preserve">Notæ in Propoſit. LXXV.</head>
          <note position="left" xml:space="preserve">a</note>
          <p>
            <s xml:id="echoid-s3968" xml:space="preserve">POſtea ducamus ex E tres breuiſecantes E G, E I, E H, & </s>
            <s xml:id="echoid-s3969" xml:space="preserve">ſecent E
              <lb/>
            I menſuram, & </s>
            <s xml:id="echoid-s3970" xml:space="preserve">E G ſecet rectum in L, &</s>
            <s xml:id="echoid-s3971" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3972" xml:space="preserve">Ideſt: </s>
            <s xml:id="echoid-s3973" xml:space="preserve">Poſtea ſi ex concur-
              <lb/>
            ſu E ducti fuerint tres breuiſecantes E G, E I, E H; </s>
            <s xml:id="echoid-s3974" xml:space="preserve">quorum duo E I, E H ſe-
              <lb/>
            cent menſuram in K, & </s>
            <s xml:id="echoid-s3975" xml:space="preserve">M: </s>
            <s xml:id="echoid-s3976" xml:space="preserve">E G vero ſecet axim rectum in L, & </s>
            <s xml:id="echoid-s3977" xml:space="preserve">axim ma-
              <lb/>
            iorem A C in N. </s>
            <s xml:id="echoid-s3978" xml:space="preserve">Dico, &</s>
            <s xml:id="echoid-s3979" xml:space="preserve">c.</s>
            <s xml:id="echoid-s3980" xml:space="preserve"/>
          </p>
          <figure number="119">
            <image file="0135-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0135-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s3981" xml:space="preserve">Quoniam I K, N M ſunt duæ breuiſſimæ conſtat, quod E I maximus ſit
              <lb/>
              <note position="left" xlink:label="note-0135-06" xlink:href="note-0135-06a" xml:space="preserve">b</note>
            ramorum egredientium ad illius ſectionem (52. </s>
            <s xml:id="echoid-s3982" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3983" xml:space="preserve">& </s>
            <s xml:id="echoid-s3984" xml:space="preserve">reliquorum ra-
              <lb/>
            morum propinquior illi, maior eſt remotiore, &</s>
            <s xml:id="echoid-s3985" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3986" xml:space="preserve">Ideſt: </s>
            <s xml:id="echoid-s3987" xml:space="preserve">Quia in </s>
          </p>
        </div>
      </text>
    </echo>
Impressum