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

6628Apollonij Pergæi aut minor illa (7. ex quinto) eſ-
ſet linea breuiſſima A F, aut pars

41[Figure 41] illius, quod eſt falſum, igitur
maior eſt, quàm A C; & pro-
pterea A D ad A C maiorem
proportionem habet, quàm ad
A F; ponamus ergo, vt A D ad
A C, ita D G ad G F in hyper-
bola, & ellipſi; at in parabola
11b ponamus G F æqualem A C, &
ducatur ex G perpendicularis ad
ſectionem. Dico, quod ei oc-
curret ad B. Nam ſi occurrat
ſectioni ad aliud punctum, vt H co-

42[Figure 42] niuncta H F erit H F breuiſſima (8. 9.
10. ex quinto) ſed ſuppoſuimus B F eſſe
breuiſſimam, quod eſt abſurdum, ergo
perpendicularis occurrit ſectioni in B.
Et quia angulus B G F eſt rectus, erit
angulus B F G acutus, quod erat oſten-
dendum.

NOTÆ.

ET eius potentialis ſecet menſuram
in parabola, & c. Ideſt, & eius po-
22a

43[Figure 43] tentialis abſcindet ex menſura vſque ad originem,
in parabola quidem ſegmentum æquale compara-
tæ, & in hyperbola, & ellipſi lineam, ad quam
inuerſa eandem proporportionem habet, quam la-
tus tranſuerſum ad rectum.

Et ducatur ex G perpendicularis ad ſectio-
33b nem, & c. Et ducatur ex G recta linea perpendi-
cularis ad axim, & producatur vſque ad ſectio-
nem.

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