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# Title: Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets (shelfmark Leibn. Marg. 43:3)
# Folio 262, page id 82327652X:0290
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=82327652X&page=290
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262
L F TT R FS
NVFI, esead rempusmotus per duas M R, R FI, ve summam
duarum LNT, NHI, ad summam duarum P R, R FI.
Cum isitur Nacura lumen a puncto M versis punctum
II dirigac, debecinueltioari punctum, veN, per quod, per
inRexionem auc refractionem, brenissimo cempore à puncto
Mad punctum EI perueniar. Probabile namque eltnatu-
ram, qux opcraciones luas quam cirissimerreee, ed sponce
collimacuram. Si icaque summa rectarum IN, N II, qua
eltmensuramocus, per inAexam M N II, Scminima quan-
citas, constabit proposicum.
Hloc aurem ex Theoremare Carreliano deduci vera non
Fucaca Creometria starim demonstrabic.
Proponit quippe Carresius, si a punctoM, ducatur radius
MI N, X ab eodem puncto M demitratur perpendicularis
M D, ac aurem ve velocicas major adminorem, ita D N ad
NS; a puncto aucem S excicetur perpendicularis S II, de
jungacur radius N II, lumen a medio raro in punctum N
incidens, retringi in superticie medii densi versiis perpen-
dicularem ad punctum FI. Fluic vero Theoremari Cc0-
merria nostra, re constabie ex sequenti propositione pure
Geomerrica, non retragatur.
Fsto circulus A FT B MI cuins DIaMCTer A NYB, cenerum
ET, in cuius circumterencia sumpeo quonis puncto M, jun-
sacur radius M NV, e demiceatur in Diameerum perpendi
cularis MI D; Derur paricer rario D NF ad NI S, _E SIED NI
major ipsâ N S; a puncto S, excirerur ad Diamerrum per-
pendicularis S II, occurrens circumferentix in puncto FI.
aquo jungatur cenero N radius HIN; Fiat vE D N ad NS.
ica radius M N ad rectam NI; Aio Cummam rectarum IN,
NFI esse minimam, hoc est, s sumatur exempli gracia
quodlibet punctum R, ex parce Semidiamerri NB, ec jun-
BanEUT reCtX MR, R FI, AaE auTeM VE D N adNS, ita M R
2d R P, Cummam reCtATUM P R _ R FI esse majorem
lumma rectarum I NY _ N II. Ouod re demonstremus,
Aac veradius MI NT ad rectam D N, ita recta R N ad rectam
D, et re D _I ad N S, ita AaEN O AdN V. FxCON
ni