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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[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
[141.] PROPOSITIO XXXIII. XXXIV.
Page: 163 (125)
[142.] PROPOSITIO XXXV.
Page: 163 (125)
[143.] PROPOSITIO XXXVI.
Page: 164 (126)
[144.] PROPOSITIO XXXVII. XLVI.
Page: 164 (126)
[145.] PROPOSITIO XXXVIII.
Page: 165 (127)
[146.] PR OPOSITIO XXXIX.
Page: 166 (128)
[147.] PROPOSITIO XXXX.
Page: 166 (128)
[148.] PROPOSITIO XXXXVII.
Page: 166 (128)
[149.] PROPOSITIO XXXXVIII.
Page: 167 (129)
[150.] Notæ in Propoſit. XXXII.
Page: 167 (129)
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            ſimilia; </s>
            <s xml:id="echoid-s4602" xml:space="preserve">pariterque duo triangula E F C, T b F ſimilia erunt; </s>
            <s xml:id="echoid-s4603" xml:space="preserve">& </s>
            <s xml:id="echoid-s4604" xml:space="preserve">propterea S a
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            ad a F eandem æqualitatis proportionem habebit, quàm I C habebat ad C F, ſi-
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            militer T b ad b F eandem proportionem habebit, quàm E C ad C F, ſeu quàm
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            latus tranſuerſum D C ad eius latus rectum: </s>
            <s xml:id="echoid-s4605" xml:space="preserve">eſtvero T b æqualis S a, ſeu a F;
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            <s xml:id="echoid-s4606" xml:space="preserve">ergo F a ad F b eandem proportionem habet, quàm latus tranſuerſum D C ad
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            eius latus rectum; </s>
            <s xml:id="echoid-s4607" xml:space="preserve">& </s>
            <s xml:id="echoid-s4608" xml:space="preserve">comparando antecedentes ad differentias terminorum.</s>
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              <note position="right" xlink:label="note-0153-01" xlink:href="note-0153-01a" xml:space="preserve">Lem. 1.
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            erit F a, ſeu b T ad b a, vt latus tranſuerſum D C ad differentiam eiuſdem
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            tranſuerſi, & </s>
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            <s xml:id="echoid-s4611" xml:space="preserve">quare parallelogrammũ rectangulum S b, erit exem-
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              <note position="right" xlink:label="note-0153-02" xlink:href="note-0153-02a" xml:space="preserve">Defin. 9.
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            plar applicatum ad abſciſſam O C.</s>
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            <s xml:id="echoid-s4613" xml:space="preserve">Igitur I C maior eſt, quàm I H, & </s>
            <s xml:id="echoid-s4614" xml:space="preserve">I H, quàm I K, &</s>
            <s xml:id="echoid-s4615" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4616" xml:space="preserve">Eo quod abſciſ-
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            <s xml:id="echoid-s4617" xml:space="preserve">C P minor, quàm C E: </s>
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            que prædicta exemplaria ſimilia ſunt inter ſe, cum circa angulos rectos latera
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            habeant eandem proportionem, quàm latus tranſuerſum D C ad differentiam.
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            <s xml:id="echoid-s4620" xml:space="preserve">eiuſdem tranſuerſi, & </s>
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            <s xml:id="echoid-s4622" xml:space="preserve">quare exceſſus quadrati I C ſupra quadra-
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            tum I H minus eſt exceſſu eiuſdem quadrati I C ſupra quadratum I K; </s>
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            <s xml:id="echoid-s4624" xml:space="preserve">ad
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            huc minus exceſſu quadrati I C ſupra quadratum I B, & </s>
            <s xml:id="echoid-s4625" xml:space="preserve">propterea recta I C
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            minori exceſſu ipſam I H ſuperabit, quàm ipſam I K; </s>
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            <s xml:id="echoid-s4627" xml:space="preserve">adhuc minori exceſ-
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            <s xml:id="echoid-s4629" xml:space="preserve">ideo I C maior erit, quàm I H, & </s>
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            H maior, quàm I K, & </s>
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