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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          <pb o="183" file="0221" n="221" rhead="Conicor. Lib. VI."/>
          <figure number="247">
            <image file="0221-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0221-01"/>
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          <p style="it">
            <s xml:id="echoid-s6966" xml:space="preserve">Sed oportet in ellipſi, vt duo axes ſint ſimul, aut tranſuerſi, aut recti-
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            ſimul, &</s>
            <s xml:id="echoid-s6967" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6968" xml:space="preserve">Addidi verba, quæ videntur in textu deficere. </s>
            <s xml:id="echoid-s6969" xml:space="preserve">Sed oportet in elli-
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            pſi, vt duæ diametri, ideòque duo axes ſint ſimul, aut tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6970" xml:space="preserve">Licet enim multoties diametri coniugatæ ellipſium æquales eße poſſint, ni-
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            hilominus eæ ſumi debent, quæ ad eaſdem partes reſpiciunt axes tranſuerſos,
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            alias conſtructio, atque demonſtratio non ſequeretur, vt manifeſtum eſt.</s>
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        <div xml:id="echoid-div649" type="section" level="1" n="215">
          <head xml:id="echoid-head272" xml:space="preserve">MONITVM.</head>
          <p style="it">
            <s xml:id="echoid-s6972" xml:space="preserve">PRo intelligentia propoſ. </s>
            <s xml:id="echoid-s6973" xml:space="preserve">16. </s>
            <s xml:id="echoid-s6974" xml:space="preserve">& </s>
            <s xml:id="echoid-s6975" xml:space="preserve">17. </s>
            <s xml:id="echoid-s6976" xml:space="preserve">præmitti debent tria hæc lem-
              <lb/>
            mata.</s>
            <s xml:id="echoid-s6977" xml:space="preserve"/>
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        <div xml:id="echoid-div650" type="section" level="1" n="216">
          <head xml:id="echoid-head273" xml:space="preserve">LEMMA VI.</head>
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            <s xml:id="echoid-s6978" xml:space="preserve">SI in duobus parabolicis ſegmentis A B C, & </s>
            <s xml:id="echoid-s6979" xml:space="preserve">D E F baſes A C,
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            & </s>
            <s xml:id="echoid-s6980" xml:space="preserve">D F cum diametris G B, & </s>
            <s xml:id="echoid-s6981" xml:space="preserve">H E æquales angulos G, & </s>
            <s xml:id="echoid-s6982" xml:space="preserve">
              <lb/>
            H non rectos contineant, atque efficiant abſciſſas G B, & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">H E dia-
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            metrorum ad latera recta B I, & </s>
            <s xml:id="echoid-s6984" xml:space="preserve">E K proportionalia; </s>
            <s xml:id="echoid-s6985" xml:space="preserve">erunt ſegmenta
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            ſimilia inter ſe.</s>
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