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
61	23
62	24
63	25
64	26
65	27
66	28
67	29
68	30
69	31
70	32
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

151113Conicor. Lib. V. educamus F E quouſque ſecet D M perpendicularem ad axim in M, &
F I occurrat D M in N, & ducantur ad axim perpendiculares H O T S,
K P V, B E, L Q, A R: & ſit in prima figura C I minor recto, in ſecun-
da æqualis, in tertia vero maior. Conſtat, quemadmodum demonſtra-
11b uimus in propoſitione ſexta huius, quod quadratum I C æquale ſit du-
plo trianguli I C F; at quadratum O H duplum eſt trapezij O T F C
(1. ex 5.) & quadratum I O duplum eſt trianguli O I S; ergo quadra-
tum I C, nempe duplum trianguli I F C excedit quadratum I H duplo
trianguli F T S, quod eſt æquale rectangulo T a: & conſtat, vti dictum
22c

138[Figure 138] eſt, quod ſit exemplar applicatum ad O C; ergo quadratum I C excedit
quadratum I H exemplari applicato ad O C abſciſſam ipſius I H. Patet
etiam, quod quadratum I C excedit quadratum I K exemplari applica-
to ad P C; idemque conſtat in I B; igitur I C maior eſt, quàm I H, &
33d I H, quàm I K, & I K, quàm I B: poſtea, in figura prima, & tertia. ,

139[Figure 139] quia triangulum F C E æquale eſt triangulo D E M; ergo quadratum.
44e I C æquale eſt duplo trianguli N F M cum duplo trianguli D I N, qua-
dratum vero I D æquale eſt duplo trianguli D I N; igitur quadratum.

Page concordance

Text layer

Text normalization

Search

Scan	Original
61	23
62	24
63	25
64	26
65	27
66	28
67	29
68	30
69	31
70	32
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

Scan	Original
61	23
62	24
63	25
64	26
65	27
66	28
67	29
68	30
69	31
70	32
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

Scan	Original
61	23
62	24
63	25
64	26
65	27
66	28
67	29
68	30
69	31
70	32
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