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

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[281.] Notæ in Propoſit. XII.
[282.] Notæ in Propoſit. XIII.
[283.] Notæ in Propoſit. XXIX.
[284.] Notæ in Propoſit. XXX.
[285.] Notæ in Propoſit. XIV. & XXV.
[286.] Notæ in Propoſit. XXVII.
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
[288.] PROPOSITIO XXI. & XXVIII.
[289.] PROPOSITIO XXVI
[290.] PROPOSITIO XXXXII.
[291.] PROPOSITIO XXXXIII.
[292.] PROPOSITIO XXIV.
[293.] PROPOSITIO XXXVII.
[294.] Notę in Propoſit. XXVIII.
[295.] LEMMA. I.
[296.] Notę in Propoſit. XXI.
[297.] Notę in Propoſit. XXXXII.
[298.] Notæ in Propoſit. XXXXIII.
[299.] Notæ in Propoſit. XXIV.
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
[301.] PROPOSITIO XXXIV.
[302.] PROPOSITIO XXXV. & XXXVI.
[303.] In Sectionem VI.
[304.] LEMMA II.
[305.] LEMMA III.
[306.] LEMMA IV.
[307.] LEMMA V.
[308.] Notæ in Propof. XXXIII. & XXXIV.
[309.] Notæ in Propoſit. XXXV.
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
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311273Conicor. Lib. VII. ducatur B E perpendicularis ad axim eum ſecans in E, tunc quidem axis ſeg-
mentum C E ab oppoſito vertice C ductum, vocat interpres Latus.
Poſtea ſum-
mam in prima ellipſi, &
differentiam in reliquis figuris lateris C E, & inter-
ceptæ H C, nimirum ipſam lineam H E, vocat Interceptam comparatam.
VI. Et lateris C E, & præſectæ G C differentia in tribus prioribus figuris,
&
ſumma in figura quarta, ideſt G E, vocatur Præſecta comparata.
VII. Ducantur in ellipſi A B C duæ diametri coniugatæ I L, & N O, quæ
inter ſe ſint æquales.
Vel tranſuerſa I L ad eius latus rectum eandem propor-
tionem habeat, quàm eius coniugata N O ad ſuum latus rectum;
tunc quidem
vocat pariter diametros coniugatas I L, N O AEquales.
358[Figure 358]
SECTIO PRIMA
Continens Propoſit. I. V. & XXIII.
Apollonij.
PROPOSITIO I.
SI in parabola A B à termino
359[Figure 359] axis A D educatur recta linea
A B ſubtendens ſegmentum @ectionis
A B, &
ab eius termino ducatur B
D ad axim perpendicularis;
vtiquè
illa chorda poterit eius abſciſſam D
A in aggregatum abſciſſæ, &
erecti.
Fiat A F æqualis erecto A E. Quia
11a quadratum A B eſt æquale quadrato D

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