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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 115r, page id 00068196:0227
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 116v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=227
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000227.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.82
# 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.

sit C centrum Ellinseos vel Hyperbolae,
arcus DFE, biseretur DE chorda in G, et
jungatur CGmit occurrens tangentes in
D et E, occurrant sibi in F, jungatur cF
ea bisecabit subtensam DE in G
sit e centrum sectionis lonicae,
axis AB, verte arcus CHM.
ejus subtensa GM CM tangentes
CF, MF. jungatur KF, ostendendum
est eam bisecare CM in G
sit KB AB, X, fit BC, 7 =
S HEax - a XX) sit KB, Z AK est q
fiet  X = q -Z Ergo fiet
y= d2ag- 2aZ 99 (2a92
y = 1(ag - = 22) yy = aq- 2
fit fydus = 4 fZdZ. Et
fit X d dz: du = y: 4Z = BC: BP
ergo si PC perpendiculanis ad CF
erit BP =  KB YB: BC=YE. (
 = y: Z AI
 RE = KB + BF - TE. et
fiet RE = Z + yy - TC e
a2
seu TE7 + yy = KF
ce d 22=
EF
 et rursus
W + vD - KE
EF
9
v
= a W
EF = EF  (Z + gy - (4 Z)KE, : y
EF = Z W + VD - a WKE : v
 sed a ZZ + yy = aq - a WIo +v
aq = a WE)
y
v
99 - Z. RE = y vigu v Z HE- 999 - qoMC
fit RE = (v-y) 44G: (Z - y1)
qu - WKE ∞
EF =   ag - a Z KE,: y
EF = aq - (v- 9) aZ9 : (vZ - y10)
seu EF = (aq sv2 = aququo (= a Z90 + a29y, gu. 1pu
EF = aqu’ = a9Z,: vz - yu
RE: EF = KEIES ADM KE ad EF in ratione ML PE
comoita em a et et 4io a
2G