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.
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.
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.
& 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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