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.
Page: 171 (133)
[162.] V.
Page: 171 (133)
[163.] VI.
Page: 171 (133)
[164.] VII.
Page: 171 (133)
[165.] VIII.
Page: 172 (134)
[166.] IX.
Page: 172 (134)
[167.] NOTÆ.
Page: 172 (134)
[168.] MONITVM.
Page: 175 (137)
[169.] SECTIO PRIMA Continens Propoſit. I. II. IV. & X. PROPOSITIO I.
Page: 176 (138)
[170.] PROPOSITIO II.
Page: 177 (139)
[171.] PROPOSITIO IV.
Page: 179 (141)
[172.] PROPOSITIO X.
Page: 179 (141)
[173.] Notæ in Propoſit. I.
Page: 179 (141)
[174.] Notæ in Propoſit. II.
Page: 180 (142)
[175.] Notæ in Propoſit. IV.
Page: 182 (144)
[176.] Notæ in Propoſit. X.
Page: 182 (144)
[177.] SECTIO SECVNDA Continens Propoſit. III. VI. VII. & IX. PROPOSITIO III.
Page: 184 (146)
[178.] PROPOSITIO VI.
Page: 185 (147)
[179.] PROPOSITIO VII.
Page: 185 (147)
[180.] PROPOSITIO IX.
Page: 186 (148)
[181.] Notæ in Propoſit. III.
Page: 187 (149)
[182.] Notæ in Propoſit. VI.
Page: 187 (149)
[183.] Notæ in Propoſit. VII.
Page: 187 (149)
[184.] Notæ in Propoſit. IX.
Page: 188 (150)
[185.] LEMMAI.
Page: 188 (150)
[186.] SECTIO TERTIA Continens Propoſit. V. & VIII. PROPOSITIO V.
Page: 190 (152)
[187.] PROPOSITIO VIII.
Page: 191 (153)
[188.] Notæ in Propoſit. V.
Page: 192 (154)
[189.] Notæ in Propoſit. VIII.
Page: 192 (154)
[190.] SECTIO QVARTA Continens Propoſit. XI. XII. XIII. & XIV. PROPOSITIO XI.
Page: 192 (154)
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page |< < (127) of 458 > >|
165127Conicor. Lib. V. 160[Figure 160]
PROPOSITIO XXXVIII.
SI linea maxima, aut breuiſſima,
161[Figure 161] vt C B, producatur extra ſe-
ctionem A B ad D, erit eius portio
B D extra ſectionem abſciſſa mini-
ma omnium linearum D E, D F,
D A egredientium ab illo pnncto ad
circumferentiam ſectionis: reliqua-
rũ vero propinquior, illi minor eſt
remotiore.
Educatur B G, tangens ſectionem in
11a B; erit D B minor, quàm D H; ergo mul-
to minor eſt, quàm D E: & iungamus
F E, F A, erit angulus F E D obtuſus,
& propterea D E minor eſt, quàm D F,
& ſimiliter D F minor, quàm D A; quod
erat oſtendendum.

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