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

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[81.] PROPOSITIO LX.
[82.] PROPOSITIO LXI.
[83.] Notæ in Propoſit. LVIII.
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
[85.] Notæ in Propoſit. LX.
[86.] Notæ in Propoſit. LXI.
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
[88.] PROPOSITIO XXXXIV.
[89.] PROPOSITIO XXXXV.
[90.] Notæ in Propoſ. XXXXIV.
[91.] Notæ in Propoſ. XLV.
[92.] SECTIO VNDECIMA Continens Propoſ. LXVIII. LXIX. LXX. & LXXI. Apollonij. PROPOSITIO LXVIII. LXIX.
[93.] PROPOSITIO LXX.
[94.] PROPOSITIO LXXI.
[95.] Notæ in Propoſit. LXVIII. LXIX. LXX. & LXXI.
[96.] SECTIO DVODECIMA Continens XXIX. XXX. XXXI. Propoſ. Appollonij.
[97.] Notæ in Propoſit. XXIX. XXX. & XXXI.
[98.] SECTIO DECIMATERTIA Continens Propoſ. LXIV. LXV. LXVI. LXVII. & LXXII. Apollonij. PROPOSITIO LXIV. LXV.
[99.] PROPOSITIO LXVI.
[100.] PROPOSITIO LXVII.
[101.] PROPOSITIO LXXII.
[102.] MONITVM.
[103.] LEMMA IX.
[104.] LEMMA X.
[105.] LEMMA XI.
[106.] Notæ in Propoſ. LXIV. & LXV.
[107.] Notæ in Propoſ. LXVI.
[108.] Ex demonſtratione præmiſſa propoſitionum 64. & 65. deduci poteſt conſectarium, à quo notæ ſubſe-quentes breuiores reddantur. COROLLARIVM PROPOSIT. LXIV. & LXV.
[109.] Notæ in Propoſ. LXVII.
[110.] COROLLARIVM PROPOSIT. LXVII.
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              <pb o="167" file="0205" n="205" rhead="Conicor. Lib. VI."/>
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            B C a, pariterque latus re
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            ctum I F ad tranſuer ſum F
              <lb/>
              <note position="right" xlink:label="note-0205-01" xlink:href="note-0205-01a" xml:space="preserve">21. lib. 1.</note>
            b eſt vt quadratum E H ad
              <lb/>
            rectangulum F H b, igitur
              <lb/>
            D B ad B a eandem propor-
              <lb/>
            tionem habebit quàm I F ad
              <lb/>
            F b, & </s>
            <s xml:id="echoid-s6465" xml:space="preserve">ideo figuræ axium
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            ſimiles erunt.</s>
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        <div xml:id="echoid-div614" type="section" level="1" n="205">
          <head xml:id="echoid-head259" xml:space="preserve">Notæ in Propoſit. XIII.</head>
          <p>
            <s xml:id="echoid-s6467" xml:space="preserve">SInt axes earum B C, & </s>
            <s xml:id="echoid-s6468" xml:space="preserve">inclinatus, ſeu tranſuerſus B a, &</s>
            <s xml:id="echoid-s6469" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6470" xml:space="preserve">Addidi
              <lb/>
              <note position="left" xlink:label="note-0205-02" xlink:href="note-0205-02a" xml:space="preserve">a</note>
            verba, quæ in expoſitione propoſitionis deficiunt. </s>
            <s xml:id="echoid-s6471" xml:space="preserve">Hyperbole, ſeu ellipſis A
              <lb/>
            B ſit axis B C, & </s>
            <s xml:id="echoid-s6472" xml:space="preserve">inclinatus, ſeu tranſuerſus B a, & </s>
            <s xml:id="echoid-s6473" xml:space="preserve">E F ſit parabole, cuius
              <lb/>
            axis F H, &</s>
            <s xml:id="echoid-s6474" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6475" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s6476" xml:space="preserve">Alioquin ſit (ſi poſſi-
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              <note position="left" xlink:label="note-0205-03" xlink:href="note-0205-03a" xml:space="preserve">b</note>
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            bile eſt) ſimilis vni ea-
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            rum, & </s>
            <s xml:id="echoid-s6477" xml:space="preserve">minima ſimilis
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            earum figuræ, quæ non
              <lb/>
            ſunt ſimiles ſuis figuris:
              <lb/>
            </s>
            <s xml:id="echoid-s6478" xml:space="preserve">deinde poſſumus produ-
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            cere in ſingulis ſectioni-
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            bus potentes, &</s>
            <s xml:id="echoid-s6479" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6480" xml:space="preserve">Non
              <lb/>
            nulla verba ex hoc textu
              <lb/>
            expunxi vt ſuperuacanea
              <lb/>
            eiuſq; </s>
            <s xml:id="echoid-s6481" xml:space="preserve">ſenſus hic eſt. </s>
            <s xml:id="echoid-s6482" xml:space="preserve">Sie-
              <lb/>
            nim par abolæ E F ſimilis
              <lb/>
            eſt hyperbolæ, aut ellipſi A
              <lb/>
            B (ex definitione ſimilium
              <lb/>
              <note position="right" xlink:label="note-0205-04" xlink:href="note-0205-04a" xml:space="preserve">Defin. 2.</note>
            figurarum) duci poßunt
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            in vnaquaque duarum ſi-
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            milium ſectionum </s>
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