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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 140, page id 797435492:0390
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=390
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000390.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

F18. 225.
E125
lo F C F. ZIIR.
2 Thine constat in lecundo gradu se fuerit n 2C; nullam verans
andari; alioquin in Manibus una semper habetur, et unica;
quontam recta P F currus l intextecabir, nec pluries
do doda
6C + b a a a = n B.
CC a  b a a  a = n3
CC a a    b aa = B, C.
I b a = n
Series nona–
buum =B
aa ba  cb = nn.
a baa = cc a = n.
a ba - cona = n SCC.
Inrecta A I sumatur AB = b; _ in AD ad ipsam AP perpen-
diculari sIE AC =-c; tanc autem anguli I AR, A B S semirecti.
eucaturque recta Z C: K ad A I urcunque perpendicularis, ipsam BS
secans adE; _ sIE AC. AC:: AC. EK; cum per R intra angu-
dum DS B describatur Byper bola RPHIR; Cint denuo currae C LFILa,
AMTIMu, ANIINDeales, uinter ACS, C R lint media C, L, bime-
ia CML. trimedia GNI. Ex currx proxosito latisfacient; constar
autem hoc ut in praecedente.
Not.
L CUrVACL II, AML LL, LL N El ad octaram Periem pertinent, re-
liquae veroHlLn HM HIIID adnonam.
2. Ouoad octaram seriem, sibilecetur AB in O, O ordinetur OY
ad curram C. L H est OEmaxima; sin Aac A P = =
V
)