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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221183Conicor. Lib. VI.

247[Figure 247]

Sed oportet in ellipſi, vt duo axes ſint ſimul, aut tranſuerſi, aut recti-
ſimul, & c. Addidi verba, quæ videntur in textu deficere. Sed oportet in elli-
pſi, vt duæ diametri, ideòque duo axes ſint ſimul, aut tranſuerſi, aut ſimul re-
cti. Licet enim multoties diametri coniugatæ ellipſium æquales eße poſſint, ni-
hilominus eæ ſumi debent, quæ ad eaſdem partes reſpiciunt axes tranſuerſos,
alias conſtructio, atque demonſtratio non ſequeretur, vt manifeſtum eſt.

MONITVM.

PRo intelligentia propoſ. 16. & 17. præmitti debent tria hæc lem-
mata.

LEMMA VI.

SI in duobus parabolicis ſegmentis A B C, & D E F baſes A C,
& D F cum diametris G B, & H E æquales angulos G, &
H non rectos contineant, atque efficiant abſciſſas G B, & H E dia-
metrorum ad latera recta B I, & E K proportionalia; erunt ſegmenta
ſimilia inter ſe.

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121	83
122	84
123	85
124	86
125	87
126	88
127	89
128	90
129	91
130	92
131	93
132	94
133	95
134	96
135	97
136	98
137	99
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139	101
140	102
141	103
142	104
143	105
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146	108
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