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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 117r, page id 00068196:0231
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 118v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=231
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.78
# 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.

sit curva ANB, angulusque rectus ACB es
dueatur
sit cma tilineum ACB NA rursus sit cuva
sit circuli sentrum C, quadrans  ANB, curvaque
alia AYBtalis naturae ut recta perpendiculati ad CB
secansocira curvam in Y, et circulum in N quadrante. in N
sit CX, X, Se XY, y
sit XY = X NE: CB
et XN, V, fiet  et radius circuli a, fiet
y -51) v: a=1. Ergo dy: dv = (2d0) C. vel: ae =1
(3ti0)
gto
 N et Y tangentes occurrant ipsi AC in R et Y, et
in X N producta sumantur ipsae X P, XS, aequales ipsis CR, CT.. Ex
ob triangula ob natura contactas sit CX, vocetur X. Erit
FZ: ZY =
Ax dgdx seu   TZ dx = xdy sed si ANB sit quudrans
ciculi et , jam CX vocetur X, et sit ANB, quadrans circuli,
erit-dv: dx = X: W, et fat ex 4 et 5 fiet  udus = ey de X: V
ex qo t in 4 pro v substituendo valorem ex S, fiet-X (aX: dv) = ey dos
Xxxdvidu A m xdoidx
Z. TM-
(Z= - xdy: dx RM = - X dv: dx. TZ. RM = dy: du = c y: v
at
C in circulo BCD. CN = CN : M fit RC = aa : V RC = RM, eu D = aa- DB : V
nc
Yydx = -Xdy et TZ -eR M. y : V RM = XX. V
=eaas:vo =evy: VV seu 7 y = aa - vD: vv = XX: V
jam y: a = v: a. seu a: V = a: y seu
N
sit RM. Ergo TZ
RC = aa: v = 
a -a aa - a a - a
eti
 a
vy va
ga sed y - v fit qa -
aa , a3
v
aut-y
a = a d9 a
a
D
e2
e3 pe1- v
seu a: D = a v. ya
sei a: v = ve - ya-3
=R Ct RM = vCC
9. 45 = v
Rursus TZC. RM. y: v, frat
(Z =C vC2 - ey
ae3
Ergo eo casu quo e = 3 fit = T7 = v = y = MZ
vel YN, jam = TZ dx = -xdy Ergo  vdx - L ydx = =xdy
sed seu Vdx = + y dX - 3Xdy
Hinc quadraturm tricurei ACBY dependet a quadratura Cinculi
sed. quando e non est 3 non fit  EZ = v -y
contrs
ae
9 = v
aa-
v
sur
vu =a
 =