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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[341.] Notæ in Propoſit. XXXXX.
[342.] Notæ in Propoſit. XXXXXI.
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
[344.] Notæ in Propoſit. XXXI. & XXXII.
[345.] LIBRI SEPTIMI FINIS.
[346.] LIBER ASSVMPTORVM INTERPRETE THEBIT BEN-KORA EXPONENTE AL MOCHT ASSO Ex Codice Arabico manuſcripto SERENISS. MAGNI DV CIS ETRVRIÆ, ABRAHAMVS ECCHELLENSIS Latinè vertit. IO: ALFONSVS BORELLVS Notis Illuſtrauit.
[347.] Præfatio ad Lectorem.
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
[349.] PROPOSITIO I.
[350.] SCHOLIVM ALMOCHTASSO.
[351.] Notæ in Propoſit. I.
[352.] PROPOSITIO II.
[353.] SCHOLIVM ALMOCHTASSO.
[354.] Notæ in Propoſ. II.
[355.] PROPOSITIO III.
[356.] Notæ in Propoſit. III.
[357.] PROPOSITIO IV.
[358.] Notæ in Propoſit. IV.
[359.] PROPOSITIO V.
[360.] SCHOLIVM ALMOCHTASSO.
[361.] SCHOLIVM PRIMVM ALKAVHI.
[362.] SCHOLIVM SECVNDVM ALKAVHI.
[363.] Notæ in Propoſit. V.
[364.] PROPOSITIO VI.
[365.] Notæ in Propoſit. VI.
[366.] PROPOSITIO VII.
[367.] SCHOLIVM ALMOCHTASSO.
[368.] PROPOSITIO VIII.
[369.] SCHOLIVM ALMOCHTASSO.
[370.] Notæ in Propoſit. VIII.
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          <p style="it">
            <s xml:id="echoid-s10045" xml:space="preserve">Quoniam A R maior ponitur quã
              <lb/>
            A D ſumi poterit recta A X minor
              <lb/>
            quidem, quàm A R, ſed maior quã
              <lb/>
            A D, & </s>
            <s xml:id="echoid-s10046" xml:space="preserve">centro X interuallo X A
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            deſcribatur circulus I A S. </s>
            <s xml:id="echoid-s10047" xml:space="preserve">Patet
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              <note position="left" xlink:label="note-0306-01" xlink:href="note-0306-01a" xml:space="preserve">ex pr. 14.
                <lb/>
              addit.
                <lb/>
              lib. 5.</note>
            (ex demonſtratis ſuperius) circulum
              <lb/>
            I S extrinſecus tangere coniſectionem
              <lb/>
            B A C; </s>
            <s xml:id="echoid-s10048" xml:space="preserve">at ſectio T V extrinſecus
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              <note position="left" xlink:label="note-0306-02" xlink:href="note-0306-02a" xml:space="preserve">Maurol.
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              pr. 3. 6. 9.
                <lb/>
              13. lib. 5.
                <lb/>
              Conic.</note>
            circulum I S tangit in eodem puncto
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            verticis A, ergo ſectio T V extrin-
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            ſecus tangit coniſectionem B A C in
              <lb/>
            eodem puncto A. </s>
            <s xml:id="echoid-s10049" xml:space="preserve">Quod erat oſten-
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            dendum.</s>
            <s xml:id="echoid-s10050" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s10051" xml:space="preserve">Si in eodem plano circulus F A G ſecuerit coniſectionem H A I in
              <lb/>
              <note position="left" xlink:label="note-0306-03" xlink:href="note-0306-03a" xml:space="preserve">PROP.
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              20.
                <lb/>
              Addit.
                <lb/>
              ex 16.
                <lb/>
              addit.
                <lb/>
              huius.</note>
            puncto A quod non ſit vertex axis eius, atque eadem recta linea D A
              <lb/>
            contingat circulum, & </s>
            <s xml:id="echoid-s10052" xml:space="preserve">ſectionem in eodem puncto A; </s>
            <s xml:id="echoid-s10053" xml:space="preserve">Dico quod quæ-
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            libet alia coniſectio S A Z in eodem plano cum illis poſita cuius axis ſit
              <lb/>
            idem circuli diameter A K habens Y ſemiſſem lateris recti axis æqualẽ radio
              <lb/>
            circuli F A G: </s>
            <s xml:id="echoid-s10054" xml:space="preserve">ſecabit quoque eandem coniſectionem H A I in eodem
              <lb/>
            puncto A, atque continget eandem rectam lineam A D in A.</s>
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            <s xml:id="echoid-s10056" xml:space="preserve">Deſcribantur (vt in 16. </s>
            <s xml:id="echoid-s10057" xml:space="preserve">additarum huius libri factum eſt) duo coni A B C,
              <lb/>
            Scalenus comprehendens ſectionem H A I, & </s>
            <s xml:id="echoid-s10058" xml:space="preserve">conus rectus E A C comprehen-
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            dens circularem ſubcontrariam ſectionem F A G, quorum baſis communis </s>
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