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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 43, page id 727094130:0055
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in spatis aequalia C F, _ HI, absq; debilicatione: Dico vim il.
lustracionis, vel conslagrari-
onis in C F, ad vim illultraci-
onis, vel consagrationis in
HI, cRe in duplicata rarione
chordx, Cemissis anguli BAC.
ad chordam semittis anguli
D A F. Quocies enim conti-
necur balis coniD AF, in balC
coni B A C, tories eriam con-
cinetur efficacia radiorum co-
ni D AF, in efficacia radio.
rum coni B AC; & codem
modo, quae proporcio est In-
cerbales, cadem est ex inter
vires, conis scilicet in aequa-
lia spacia concregaris; Bales
aurem sune aequales circulis,
quorum radii sunc chordae se-
miangulorum radiolorum, uE
demonctrac Archimedes Lib. I.
de sphae. _ Cplind. Prop. 40. Bales igitur sune in duplicata racionee
earum chordorum; vires ergo. sive in comburendo, sive in illu-
ltrando, tunc in eadem rarione; quod demonstrare oporcuic. F0
dem modo poierir hoc Theorema demonstrari, eriamli lpatin HL I,
CF sime mera puncta.
Corollarium L.
Ex hoc Theoremate lequitur, sicorpus radiolum fuerit in A, 8
ejus radii conoregentur in sparia aequalia HP, G F, eorum vires in
comburendo, vel illustrando, esse in duplicaca rarione praedictarum
chordarum: Diridatur enim corpus eadiolum A, in sua puncta ea-
diancia; quomam icaqi hae sune magnicudines proporcionales; nem-
De quadrarum chordae semissis anguli D A F; quadracum chordx se
mistis anguli B AC; vis in illustrando, vel comburendo unius-
cujucq; puncti corporis rasioli A, in Spacio HI; ec vis in illustran-
do, vel comburendounius cujulque puncti corporis radioliA, in spatio
CF C supponimus enum omnium punclorum conoscadiolosin
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