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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[161.] IV.
[163.] VI.
[164.] VII.
[165.] VIII.
[166.] IX.
[167.] NOTÆ.
[168.] MONITVM.
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
[170.] PROPOSITIO II.
[171.] PROPOSITIO IV.
[172.] PROPOSITIO X.
[173.] Notæ in Propoſit. I.
[174.] Notæ in Propoſit. II.
[175.] Notæ in Propoſit. IV.
[176.] Notæ in Propoſit. X.
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
[178.] PROPOSITIO VI.
[179.] PROPOSITIO VII.
[180.] PROPOSITIO IX.
[181.] Notæ in Propoſit. III.
[182.] Notæ in Propoſit. VI.
[183.] Notæ in Propoſit. VII.
[184.] Notæ in Propoſit. IX.
[185.] LEMMAI.
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
[187.] PROPOSITIO VIII.
[188.] Notæ in Propoſit. V.
[189.] Notæ in Propoſit. VIII.
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
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        <div xml:id="echoid-div33" type="section" level="1" n="30">
          <head xml:id="echoid-head52" xml:space="preserve">SECTIO PRIMA</head>
          <head xml:id="echoid-head53" xml:space="preserve">Continens propoſitiones I. II. & III. Apollonij.</head>
          <head xml:id="echoid-head54" xml:space="preserve">PROPOSITIO I.</head>
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            <s xml:id="echoid-s838" xml:space="preserve">Si ex centro D ſectionis A B (habentis centrum) egrediatur
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            linea recta D F H bifariam diuidens A E erectum illius axis,
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            quod ſit perpendiculare ſuper axim C A G, ſecans axis ordina-
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            tionem B G I; </s>
            <s xml:id="echoid-s839" xml:space="preserve">vtiquè dimidium illius ordinationis, videlicet B
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            G, poterit duplum plani, quod producit illa linea cum axi in-
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            ter erectum, & </s>
            <s xml:id="echoid-s840" xml:space="preserve">illam ordinationem, nempè duplum A G H F.</s>
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            <s xml:id="echoid-s842" xml:space="preserve">QVia B G poteſt comparatum applicatum ad abſciſſam A G, & </s>
            <s xml:id="echoid-s843" xml:space="preserve">pla-
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            num G F dimidium eſt illius comparati; </s>
            <s xml:id="echoid-s844" xml:space="preserve">ergò B G poterit duplum
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            plani G F; </s>
            <s xml:id="echoid-s845" xml:space="preserve">& </s>
            <s xml:id="echoid-s846" xml:space="preserve">hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head55" xml:space="preserve">PROPOS. II.</head>
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            <s xml:id="echoid-s848" xml:space="preserve">PAritèr quoquè oſtendetur, ſi potens
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            tranſierit per centrum ellipſis, quod
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            B G poterit duplum trianguli A F G.</s>
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