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

Table of contents

< >
[Item 1.]
[2.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. & ARCHIMEDIS ASVMPTOR VM LIBER.
[3.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. PARAPHRASTE ABALPHATO ASPHAHANENSI
[4.] ADDITVS IN CALCE ARCHIMEDIS ASSVMPTORVM LIBER, EX CODICIBVS ARABICIS M.SS. SERENISSIMI MAGNI DVCIS ETRVRIÆ ABRAHAMVS ECCHELLENSIS MARONITA
[5.] IO: ALFONSVS BORELLVS
[6.] AD SERENISSIMVM COSMVM III. ETRVRIÆ PRINCIPEM FLORENTIÆ, Ex Typographia Ioſephi Cocchini ad inſigne Stellæ MDCLXI. SVPERIORVM PERMISSV.
[7.] COSMVM TERTIVM ETRVRIÆ PRINCIPEM. 10: AL FONSVS BORELLIVS F.
[8.] CAVE CHRISTIANE LECTOR.
[9.] IN NOMINE DEI MISERICORDIS MISERATORIS. PROOE MIVM ABALPHATHI FILII MAHMVDI, FILII ALCASEMI, FILII ALPHADHALI ASPHAHANENSIS. LAVS DEO VTRIVSQVE SECVLI DOMINO.
[10.] ABRAHAMI ECCHELLENSIS IN LATINAM EX ARABICIS Librorum Apollonij Pergæi verſionem PRÆFATIO.
[11.] PRÆFATIO AD LECTOREM.
[12.] INDEX
[13.] APOLLONII PERGAEI CONICORVM LIB. V. DEFINITIONES. I.
[14.] II.
[15.] III.
[16.] IV.
[17.] V.
[18.] VI.
[19.] VII.
[20.] VIII.
[21.] IX.
[22.] X.
[23.] XI.
[24.] XII.
[25.] XIII.
[26.] XIV.
[27.] XV.
[28.] XIV.
[29.] NOTÆ.
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
< >
page |< < (74) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div293" type="section" level="1" n="97">
          <pb o="74" file="0112" n="112" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div296" type="section" level="1" n="98">
          <head xml:id="echoid-head136" xml:space="preserve">SECTIO DECIMATERTIA</head>
          <head xml:id="echoid-head137" xml:space="preserve">Continens Propoſ. LXIV. LXV. LXVI.
            <lb/>
          LXVII. & LXXII. Apollonij.</head>
          <head xml:id="echoid-head138" xml:space="preserve">PROPOSITIO LXIV. LXV.</head>
          <p>
            <s xml:id="echoid-s3112" xml:space="preserve">S I ramorum ſecantium D C, D B, D A eductorum ex con-
              <lb/>
            curſu D ad fectionem C A non fuerint duo breuiſecantes,
              <lb/>
            vtique minimus eorum eſt, ramus terminatus D A, qui ambit
              <lb/>
            cum axe A E angulum acutum; </s>
            <s xml:id="echoid-s3113" xml:space="preserve">nempe D A E, & </s>
            <s xml:id="echoid-s3114" xml:space="preserve">reliquorum
              <lb/>
            propinquior illi minor eſt remotiore, ſcilicet D B maior, eſt
              <lb/>
            quàm D A, & </s>
            <s xml:id="echoid-s3115" xml:space="preserve">D C quàm D B.</s>
            <s xml:id="echoid-s3116" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3117" xml:space="preserve">Si vero inter illos fuerint duo breuiſecantes tunc vicinior
              <lb/>
            vertici ſectionis eſt maximus ramorum, & </s>
            <s xml:id="echoid-s3118" xml:space="preserve">maiori proximior,
              <lb/>
            eſt maior, & </s>
            <s xml:id="echoid-s3119" xml:space="preserve">minori propinquior eſt minor.</s>
            <s xml:id="echoid-s3120" xml:space="preserve"/>
          </p>
          <figure number="94">
            <image file="0112-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0112-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s3121" xml:space="preserve">Producamus perpendicularem D E ſuper axim E A, & </s>
            <s xml:id="echoid-s3122" xml:space="preserve">reperiatur Tru-
              <lb/>
              <note position="right" xlink:label="note-0112-01" xlink:href="note-0112-01a" xml:space="preserve">a</note>
            tina F. </s>
            <s xml:id="echoid-s3123" xml:space="preserve">Et primo loco nullus ramus ſit breuiſecans, iam ſi D B, non eſt
              <lb/>
            maior, quàm D A, ſit æqualis illi, & </s>
            <s xml:id="echoid-s3124" xml:space="preserve">ducamus duas </s>
          </p>
        </div>
      </text>
    </echo>