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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 33, page id 727094130:0045
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rop. 23. Problema.
Radios ad unicum punctum darum convercentes, in eodem diaphano ab
alio puncto dato divereere; datis quoque lentis, vel spesuli vertici-
bus: Oportet tamen, ut punctum conversentia punctum divereen-
tia, es vertices lentis, vel speculi, sint in eadem recta linea.
Cateptrice.
Inc radii ad punctum A convergentes, a puncto B divergendi
n Speculo cujus verrex MI: FOcis A, B, d verrice M, describatuE
speculum ellip.
EICMM COnVexuM
Ni L. N. DicO
Omnes Radios
ad focum A
ConveroeMtes, de
in speculi super-
ficiem inciden-
CCs, in ipla rC-
A. Cti, _ a FOco
B divergere. Sic
enim ad Focum
A convergens
ractius PL, qui
lei er CriE In C0
plano cum axe
Speculi, erieque
FlipHE MLN,
ex qur genica
est SpHarOIS) CU-
perticies. Rellectionis radii PL, qui producerur in A; e aB, pet L, 20. Rujus.
duCatuE BO, cangacque elliplim L. M N recta EI. LC in pun-
etoL. Ouoniam igitur angulus A L. G, eAt aequalis angulo BL. H 3
erir _ priori ad verticem P L H, regualis polteriori ad verricem
DEO; retectecurisirur P L. in 9: quod oltendendum etac.
Dioprice.