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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 56, page id 797435492:0272
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=272
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.85
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

18. 62.
2bujns.
E C
e
Dhuc in Pestibulo haremus; nec aliud quam veliramus.
a
I. Sine duo quanta A, B; quorum majus A; adsumpro certio quo-
piam Z, eric A - + X. B J. Z = XA. B.
Nam ob X. A = 7 X. B; erit componendo Z f. A. A,  1X -
B. B. vel permutando X) A. X f. B = A. B.
II. In linea YZ signentur tria puncta, L, M, N; de inter puncta
L. sumpto puncto quoxiam F, alteroque C extra L. H (verlusZ):
sccetur F C in F, ut lic C F. EB:: N L. L. M scadet punctum Fad
DarteS ML:
Namm est N F. M E +L NL,ML::GF, F RE NE. PF.
erBOFFC MF.
TII. Sint rectae BA, DC parallele: irem rectae BD, CP parallelxe.
perque punctum B ducantur utcunque dux rectae BI, B Siplam O P
secantes punctis L, K, dico fOre D S. DT:: RC. LC.
Nam est AC. LG = R G. CB. f OB. L. O = PR. PS- )
PF. PL = DB. DS-]. DT. DB =DT. DS.
IV. F.Corriangulum B D T, basique D B parallelam quamris PC
incexlecent per B ductx quaepiam duae rectae BS, B R punctis L, R;
dico fore L C, X YD - L. RL XRD. ROXTD:: RD. SD.
Sumantur enim BM = GP, _ BN = L P; _BO =RP;
unde constat junctas P M, PN, P O ipsIS T B, SB, R B (respective)
Parallelas esse. FF quoniam estDM. PD:: DB. TD. erIt DMX
TD = PD X DB. Similiter est DNXSD = P DKDB. quare
DM XTD = DNXSD =-D MXSD -F MNXSD, transpo-
nendoque DML X FD -- DMXSD = M HIX SD. Simili plané
dilcuru
218. 62.