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-div500" type="section" level="1" n="158">
          <head xml:id="echoid-head207" xml:space="preserve">APOLLONII PERGAEI</head>
          <head xml:id="echoid-head208" xml:space="preserve">CONICORVM LIB VI.</head>
          <head xml:id="echoid-head209" xml:space="preserve">DEFINITIONES.</head>
          <head xml:id="echoid-head210" xml:space="preserve">I.</head>
          <p>
            <s xml:id="echoid-s5217" xml:space="preserve">SEctiones ÆQVALES ſunt, quæ ad inuicem ſu-
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            perpoſitæ ſibi mutuò congruunt.</s>
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          <head xml:id="echoid-head211" xml:space="preserve">II.</head>
          <p>
            <s xml:id="echoid-s5219" xml:space="preserve">SIMILES verò ſunt, in quibus omnes po-
              <lb/>
            tentiales ad axium abſciſſas vtrobique ſunt in
              <lb/>
            ijſdem rationibus, tum abſciſſæ ad abſciſſas.</s>
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          <head xml:id="echoid-head212" xml:space="preserve">III.</head>
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            <s xml:id="echoid-s5221" xml:space="preserve">Et linea, quæ ſubtendit ſegmentum circumferentiæ circuli,
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            aut ſectionis coni vocatur BASIS illius ſegmenti.</s>
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          <head xml:id="echoid-head213" xml:space="preserve">IV.</head>
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            <s xml:id="echoid-s5223" xml:space="preserve">Et linea, quæ bifariam diuidit ordinationes æquidiſtantes baſi
              <lb/>
            illius, vocatur DIAMETER illius ſegmenti.</s>
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          <head xml:id="echoid-head214" xml:space="preserve">V.</head>
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            <s xml:id="echoid-s5225" xml:space="preserve">Et eius terminus, qui eſt ad ſectionem, VERTEX ſegmenti.</s>
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          <head xml:id="echoid-head215" xml:space="preserve">VI.</head>
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            <s xml:id="echoid-s5227" xml:space="preserve">Et SEGMENTA ÆQVALIA ſunt, quæ ſuperpoſita ſibi mu-
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            tuò congruunt.</s>
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          <head xml:id="echoid-head216" xml:space="preserve">VII.</head>
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            <s xml:id="echoid-s5229" xml:space="preserve">Et SIMILIA ſunt, quorum baſes cum diametris æquales an-
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            gulos continent, & </s>
            <s xml:id="echoid-s5230" xml:space="preserve">in eorum ſingulis ductæ lineæ baſi parallelæ
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            numero æquales ad abſciſſas diametrorum ſunt in ijſdem ratio-
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            nibus tum abſciſsæ ad abſciſsas.</s>
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