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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