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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 142, page id 797435492:0396
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=396
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.85
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4
 LLd
Series undecima.
ba e
6C - b a - a a = B B.
C6a - baa - a = n3.
C6aa ba- at = n, CCC.
In recta B A E sumatur B A = b; _ in AD ad A EI perpendi
culari siE  C =c; lintque anguli HI A R, EIBS semirecti; tum
utcunque ducta recta CR E ad A HI perpendiculari (quae iplam BS
secet in E; SIE AC. AC:: AC. EK; _E Per R intra a symptots
V D, V S describatur Byperbola RPTIK; sint demum curra CLHLA
AMEIMU ANTEIMIDEales AEInter AC (vel C7Z) _E GR CInE me-
dia GL, bimedia CM, trimedia C N; hae propoliro serrient, id
quodconstar, ut in pracedentibous.
XVot.
2. CurVX TIL a, HMu, TIN ad decimam seriem perrinent;
religuX CL II, AMII, A N TIad undecimam.
2. Curra IIL N est hyperbola aequilatera, _ curra C L HI cireula-
ris circumferentiae pars; utriusque commune cenrrum est O, iptam AB.
bilecans (unde ATI = i --166: -
3. In decima serie radix una semper habetur, d unica; in undeci-
manunc dux, nunc una, subinde nulla.
4. AB = 5 d A ut = V-
-) : - -.  Ordinentur
Z, LX; puncta Y, X sune nodi currarum.
5. In undecimma secundo sradu ordinata A C estmaxima; sin A P
=; e a P ad CUIAM A M H ordinetur P v
tixcmaxima erie; item (i AO =
9bb
64
 dc à
F18. 226.