# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0501
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0501?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 251r, page id 00068194:0501
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 252v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=501
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000501.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine
# Lines: 90 recognised, mean confidence 0.76
# 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.

a + X =
b + y
Mogreg. Har
V. Ergo a + X =
Ergo a = ay + a
b+y 6+y
+ + - ny + xy - x etc
B3
sive L - ZD +Y + 3
b
- X etc a +X =7.
63
b+
sed et X = X - xb + Xb Ac
ra
1+7
= ay + ax - a
+ +  62
+ Y - x + XoB
seu a -ay + xb + ay- xb
seu a - a + x
63y2
sive
diffhentius differentiam
per tenminos exprimendis
observatio singularis
558.=
si
7
Xb, y - -XB+ L)
Nb
v2b3
= = V ek = 2X
y263
a7 + x - ay + xb
Cbh- 7
b by by
V2Xb3
Ergo X + Xb- 7
 ta-x y+b29
bys
seu
b3X
Cy
vi
=at E5 +a- 5
6ey2
seu a - a +x b + Y, +a +x 1b+ 4, _ -  Ec -)
b e
M
sive ) = 4 A
S
b
D
A 8+ Y -B b. -C71
B
C
I
Est haec series ut apparet aliquid ex progressione Geometrica deformatu
Ponatur figna ABC lineis basi parallelis in quotcunque partes aequale
gumeta
secari posse. Quaeritur, an aliqua inde lux ad ejus quadraturamt
ptonatur a recta DE secta esse in duas par tes aequales
27
DE- a e ADE = a
tanxx
Ergo datur AFD
2aX X,
dature AED
AFC D
ACB
Ergo si aliqtvidendum an reperiri possit capus abi rationes
istae dua sit inter se aequales sed nihil tomen inde sequeretur
Figura seran potest, in data qualibet ratione commensurabili sed
numens expressa, viq ut portio sit 3 invento enim tentum
dgliceo vel angulus circulos tantum dupticetur, triplicetur ex
angulus urg. AG cuculi AGC, et ex puncto ngutinvento ducati
orderane. quae fruom in experata raive secibit. Quadrari
poterit  in portio inter figucam et cuculum intercepta moio
Samum
231
simit um haber terum
btyb
4-
ax + avb
n.
63+yb
clom de s ferentirs ditet
b+y
+