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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 91, page id 797435492:0143
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I E C Y. XTII.
CZ. BZ. diridendoque C B. BR = C B. BZ: adeoque BR
E BZ; hOC est punctum R magis quam Z a centro elongatur.
R ad convexas; est enim nic (ut in praecedente) RB. AB -
RII. AN. adeoque (supra monstraris insiltendo) CK. ZC
RB. BZ. vel permutando CR. RBE CZ. BZ. dividendoque
CB. RBE CB. BZ. unde RB  1BZ. adeoque punctum R
centro semper vicinius est quam L.
ZVI. Hlaec autem cum, modo suo mutatis murandis, ad omnes
calus cransterri possine, habentur inde determinati retractorum limites,
hoc est apparentia radiantium punctorum A loca, respectu oculi cen-
trum habentis in axe aC sicum; juvra docrrinam a nobistoties in-
culcatam.
ZVII. Id autem hic in duobus casibus (utroque nimirum ad circuli
CaraS) peculiare venit obserrandum cum (II CB = C R, omnes
refractos in ipso puncto Z (uE supra definito) retro prorractos con-
gresari. Nam ob AB. BC:: AB. C R:: BZ. CZ. erit diri-
dendo AC. BC:: BC. CZ. Quapropter ad punctum quodris N
ad lumprum connexis AN, ZNI, erit Z H. AN:: (CZ. CN::)
CZ. C R. unde Z. II retracrus erir incidentis AII.
6. X430
ZVIII. Hinc eriam (i fuerit A B = CR, consequetur punctum Z Fi8, 14 La
acentro intinire distare; quia nempe tum ob A B. CR :: BZ. C L,
erit BZ =CZ; id quod hieri nequic, nisi punctum Z. ita clongetur
intinité.
XIX. Consectantur _ hxec: Si punetorum radiantium A, a limites Fig: 242
Cint puncta 2, C, exit AC. AB + BZ. CZ = a C. a B + BC. 143.
5.
Nam exrxemissis facile constat esse
taM AC AB + BZ. CB
Quam a C. a B + BE. CC=
I. R.
XX. Unde CZE CZ. Ntam ob BC. AB - = BC. aB.
componendoque AC. AB = a C. a B. erit BZ. CZE BB.
C. dividendoque BC. CZ C BC. C6. adeoque C6L
 Lb
XXI. Imo