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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[241.] Notæ in Propoſit. XXVIII.
[242.] LEMMAX.
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
[244.] PROPOSITIO XXX.
[245.] PROPOSITIO XXXI.
[246.] Notæ in Propoſit. XXIX.
[247.] Notæ in Propoſit. XXX.
[248.] Notæ in Propoſit. XXXI.
[249.] LIBRI SEXTI FINIS.
[250.] DEFINITIONES. I.
[251.] II.
[252.] III.
[253.] IV.
[255.] VI.
[256.] VII.
[257.] VIII.
[258.] NOTÆ.
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
[260.] PROPOSITIO V. & XXIII.
[261.] Notæ in Propoſit. I.
[262.] Notæ in Propoſit. V. & XXIII.
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
[264.] PROPOSITIO IV.
[265.] PROPOSITIO VI. & VII.
[266.] Notæ in Propoſit. II. III.
[267.] Notæ in Propoſit. IV.
[268.] Notæ in Propoſit. VI. & VII.
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
[270.] Notæ in Propoſit. VIII.
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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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