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
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

162124Apollonij Pergæi

Erit angulus BHE ma-

155[Figure 155]11b ior, iquàm E B H, & c. Eo
quod ramorum omnium ab
origine E ad ellipſim C B H
cadentium maximus ſuppo-
nitur E B; ergo maior erit,
quàm E H, & propterea
angulus E B H minori late-
ri oppoſitus minor erit angu-
lo E H B: cadit vero recta
H F infra H E; propterea
quod punctum F infra pun-
ctum E exiſtit; igitur angu-
lus F H B maior eſt angulo
E H B; & ideo angulus F H B multo maior erit angulo F B H; igitur ramus
F B, maiorem angulum ſubtendens, maior erit, quàm F H, & c.

SECTIO DECIMAOCTAVA

Continens XXXII. XXXIII. XXXIV. XXXV.
XXXVI. XXXVII. XXXVIII. XXXIX.
XXXX. XXXXVII. XXXXVIII.

Propoſit. Apollonij.

PROPOSITIO XXXII.

IN ellipſi A B C rami cuiuslibet

156[Figure 156]22a maximi G H vtrumque axim ſe-
cantis portio N H inter axim maio-
rem, & ſectionem intercepta, eſt li-
nea breuiſsima.

Producatur rectus axis minor A D vl-
tra centrum D ad I, G, & ex I, G ad ſe-
ctionem ducantur duo rami maximi G H,
I K, qui ſecent tranſuerſum B D in N,
M, & ſit B E dimidium erecti axis B D,
& A F dimidium erecti axis A G; & edu-
cantur perpendiculares ad axes H O, H
P, K Q, K R. Dico, N H breuiſsimum
eſſe ramorum egredientium ex H. Quia
G H eſt linea maxima, erit D A ad A F,
nempe B E ad B D, vt D O ad O G (22.
33b ex 5.) nempe N H ad H G, ſeu N P

Page concordance

Text layer

Text normalization

Search

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92

Scan	Original
101	63
102	64
103	65
104	66
105	67
106	68
107	69
108	70
109	71
110	72
111	73
112	74
113	75
114	76
115	77
116	78
117	79
118	80
119	81
120	82
121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92