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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 34, page id 797435492:0058
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218. 40.
e18. 42.
F18. 42.
F F C T. I
XY Corol. T. Flinc ( duo retracti M a, PT a CUMI AXC A B Conve-
niane in I, R; ∞ a puncto Y ad incidentias ducantur rectae YM, Y N.
erit RB. IB:: Y HI. YM. Nam RBg. TN9:: I9 - R9.
R9:: IB9. YMg: quare permutarim RBg. lBg:: YH9.
YM9.
XII. 2. Thinc etiam s refracti M L, NTK conveniant in X, ee de-
MIEEaEUI Z P ad L B paraliela. e huic prorractae MY, N Y OcCur
EaNEII R, S, erix N S = MIR. NaM XP. SN:: RB. YN:2
TB. YM:: ZP. RM. CUM ItaquE SIE ZP. SN :: XP. RM;
exitSeI == R eA.
ZIII 2. In secundo Casu. Ct cnjulris incidentis A N refractus
RH a; e tat YBg. K Bg:: Rg. R9.-L9; ec connectatur YH,
erit ABg. Y N g:: R9 - 19. 19.
Nam quia R B 9 =R i 9 - B N 9 = RN 9- YN g. L YB9: exit
Chrpothelin persequendo) YBg. RN9 -1  YB9 - ZNG:: R9.
R9 -Ig:: ANg. AN9 - RNg. d per rationis conversionem
Y Bg. FN 9 - RNG:: ANg. KNg. (est aurem YB9=
YH. g. - BH9 - TH 9 - ANg. + ABg, ergo YN9 = A I9
 ABg. Y H g -- R H g:: A N g. KN g. hoc est, anteceden
ces e consequentes adjunsendo).:: Z N 4 1 AB9. YN g. quare
dividendo A N g - K N g. KN 9:: ABg. TN 9 hoc est R9.-
19. Ig:: ABg. ENg: O. F. D.
ZIV. Corol. I. Thinc rurtus, s duo refracti Ma, Na secent axem punctis
I, K; iplos aurem se decussene puncto Z; _ Hat YP. XP:: R. V
R9 - I9. _ per Y dUCANtUT MY R, NXS; CrIE NS =MR.
Nam SB. RB :: YP. XP :: R. VR9 - I9. quare AB.
SN:: VR9 - I9. I item RB. IB:: YP. XP:: R. V Rg.
I9. Quare AB. RM :: vR9 - l9. I. ergo AB. SN :: AB.
R M. quare S N = EM.
2. HlincSB. RB:: RB. IB.
LV. LoC, elanu Csuoraci ub la lultanices ant enotes
Tunt eo retractos iplorum spiltius incedere; seu minora tore concur.
Tuum intersticia: ue nempe ( in retringente F F sumantur requalia
incervalla M. N, N O; e radiorum punetis M, VI, O incidentium
retracti Ma, Na, O acum axe concurran punctis l, K, L; erit in-
terrallum