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

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

[81.] PROPOSITIO LX.

[82.] PROPOSITIO LXI.

[83.] Notæ in Propoſit. LVIII.

[84.] Notæ in Propoſit. LIX. LXII. & LXIII.

[85.] Notæ in Propoſit. LX.

[86.] Notæ in Propoſit. LXI.

[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.

[88.] PROPOSITIO XXXXIV.

[89.] PROPOSITIO XXXXV.

[90.] Notæ in Propoſ. XXXXIV.

[91.] Notæ in Propoſ. XLV.

[92.] SECTIO VNDECIMA Continens Propoſ. LXVIII. LXIX. LXX. & LXXI. Apollonij. PROPOSITIO LXVIII. LXIX.

[93.] PROPOSITIO LXX.

[94.] PROPOSITIO LXXI.

[95.] Notæ in Propoſit. LXVIII. LXIX. LXX. & LXXI.

[96.] SECTIO DVODECIMA Continens XXIX. XXX. XXXI. Propoſ. Appollonij.

[97.] Notæ in Propoſit. XXIX. XXX. & XXXI.

[98.] SECTIO DECIMATERTIA Continens Propoſ. LXIV. LXV. LXVI. LXVII. & LXXII. Apollonij. PROPOSITIO LXIV. LXV.

[99.] PROPOSITIO LXVI.

[100.] PROPOSITIO LXVII.

[101.] PROPOSITIO LXXII.

[102.] MONITVM.

[103.] LEMMA IX.

[104.] LEMMA X.

[105.] LEMMA XI.

[106.] Notæ in Propoſ. LXIV. & LXV.

[107.] Notæ in Propoſ. LXVI.

[108.] Ex demonſtratione præmiſſa propoſitionum 64. & 65. deduci poteſt conſectarium, à quo notæ ſubſe-quentes breuiores reddantur. COROLLARIVM PROPOSIT. LXIV. & LXV.

[109.] Notæ in Propoſ. LXVII.

[110.] COROLLARIVM PROPOSIT. LXVII.

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.

Text layer

Text normalization

Search