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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 20, page id 797435492:0040
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.23.
1 F.  26
vendimus, lucem adimiitere non debeat; omnino dicti radii SM, SN.
de consimiles reftectentur, e extra armolphaeram procul abeuntes
oculum non pertingent. Ouinimo latis constare videtur extrinc, quod
radii quales S Nut risum atticere queant, aut accedere, rersus per-
pendicularem NC retringi debent; id quod adversarix Hypothesi
pariter adverlatur. Verum haec obiter, ac in trancurtu dicta lunco.
IX. Porro, Suibnotandum est; quoad binos calis supra EraCtatOS,
cum duo media, direrlimoda comparando dux se representent PFOPOr-
tiones, altera, terminorum licum transxonendo, alterius inverla, re-
Fractionum ideo mensuras (quoad haec) iildem terminis delignabiles
Ordine perutari. UEsi in primocasu linus rectus anouli incidentis le
habeat ad sinum rectum anguli refracti, lcur A ad B, in secundo linus
incidentis ad linum refracti se inverse habebit ut B ad A; nimirum
in praecedentibus fsuris, quanto Z D major est quam ZB, in prima
Eypotheli; tanto constat Z D minorem esse quam ZB, in sccunda;
mediis scilicer iildem. permanentibus.
X. Denique, cum medii cur radius impingir superficiem hactenus
adsumipserimus planam, adverrendum superest, quamris illa curra LIE,
eodem tamen ab sque sensibili discrimine sese modorem habere, ac (I
Plano curram superficiem isthic, ubi radius occurrie, contingenti im-
Pinseret. Incidar nempe radius AB C D in curram lineam O BR,
quam ad incidentix punctum Brangat recta P. F. Prortus eodem mo-
do retringetur iste radius ad curram  B R, quo ad rectam P F, nisi
quodisthic arcus D s in rariori medio decurlus rangentem aliquousque
praecergreditur. Id quod eximiam radii subtilitarem considerando
quamque perexiguo ditet incerrallo punctum s à currae verrice B.
nullam omnino sensibileni (imo nec imaginabilem) inducer disteren-
ciam. Ouancillus enim iste circulus esse debet, in quo chorda Bs, ra-
dii lacitudine paullo major, arcum subtendet aliqua cum ejus sensibili
varre comparabilem? Potest igitur angulus Z. B s xqualis supponi
anguloZ B Fi; quo concesso reliqua Auent eodem renore, quo prxe
cedentia. Cuin ina rationem extribuimus. suppolitionis, quae passim
ab Opticis accipitur; ita tamen precario, non ue Tubinde nullum.
in audientibus scrupulum relinquat; nec ue semper adsensu frmo
concedatuF.
LLc. Ita primarias iltas enea Lamera mccione ispoceles
vel Axiomatamaliris, aut Theoremata) quibus omnis incumbir Oprica
cujuleunque