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

Scan	Original
71	33
72	34
73	35
74	36
75	37
76	38
77	39
78	40
79	41
80	42
81	43
82	44
83	45
84	46
85	47
86	48
87	49
88	50
89	51
90	52
91	53
92	54
93	55
94	56
95	57
96	58
97	59
98	60
99	61
100	62

192154Apollonij Pergæi

Notæ in Propoſit. V.

ATque B C D congruit B A D, & ſuperficies ſuperficiei, & c. Quo-
11a niam in ſecunda figura B D eſt axis ellipſis per centrum E ductus; ergò
vt in prima parte huius propoſitionis dictum eſt, ſibi mutuò congruent ſemielli-
pſes B C D, & B A D.

Notæ in Propoſit. VIII.

NAm demonſtrauimus, & c. Expoſitio huius

207[Figure 207]22a propoſitionis hæc erit. Sit ellipſis A B C D,
cuius axes C A, & B D, & in quolibet eius qua-
drante ſignentur tales circumferentiæ N G, O L, H
Q, M P, vt coniunctæ rectæ lineæ O N, G L, H
M, Q P ſint ad axim A C ordinatim applicatæ ſe-
cantes eum in R, I, K, S; ſintque binarum extre-
marum N O, P Q à centro E diſtantiæ æquales E R,
E S, & binarum intermediarum L G, H M æquales à
centro diſtantiæ E I, E K oſtendendum eſt ſegmenta
G N, L O, H Q, M P æqualia eße.

Et inſuper dico, quod quodlibet horum ſeg-
33b mentorum non congruet alicui alio ſegmento,
& c. Si enim in eodem, vel in duabus ellipſis qua-
drantibus ſumantur ſegmenta G N, & M P non æque ab axis vertice B vel à
verticibus A, C eiuſdem axis remota, non erunt congruentia, vt deducitur ex
propoſ. 1. additarum huius.

SECTIO QVARTA
Continens Propoſit. XI. XII. XIII. & XIV.
PROPOSITIO XI.

QVælibet ſectio parabolica, vt A B, cuius axis B C, & ere-
ctum B D ſimilis eſt cuilibet ſectioni parabolicæ, vt E F,
cuius axis F H, & erectum F I.

Page concordance

Text layer

Text normalization

Search

Scan	Original
71	33
72	34
73	35
74	36
75	37
76	38
77	39
78	40
79	41
80	42
81	43
82	44
83	45
84	46
85	47
86	48
87	49
88	50
89	51
90	52
91	53
92	54
93	55
94	56
95	57
96	58
97	59
98	60
99	61
100	62

Scan	Original
71	33
72	34
73	35
74	36
75	37
76	38
77	39
78	40
79	41
80	42
81	43
82	44
83	45
84	46
85	47
86	48
87	49
88	50
89	51
90	52
91	53
92	54
93	55
94	56
95	57
96	58
97	59
98	60
99	61
100	62

Scan	Original
71	33
72	34
73	35
74	36
75	37
76	38
77	39
78	40
79	41
80	42
81	43
82	44
83	45
84	46
85	47
86	48
87	49
88	50
89	51
90	52
91	53
92	54
93	55
94	56
95	57
96	58
97	59
98	60
99	61
100	62