# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0041
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0041?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 21r, page id 00068199:0041
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=41
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000041.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.77
# 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.

I 2(X = XFI - Xt 1
35x+3SX = XHI - X+. Ergo 6SX = _ZXHI - 3XFI + XFI
Ax16sP + GSX = XEI = X+I 2(X = 6XtI
EKNos +5sX = XYE - XHI
EXY
- 6XF1
ra = C  2a = l
12b + 3a = m 2. 12b = 62. l - 3m
22C+ 13b+ 4a = n ) Z
2ed 23C 14b+ Sa = p 
3
105
de
 22. 12. 3,2C+ 13 12. 3. 2b+ A n. B 2a = 12(3. 2R 438
2. 12 22c + 13, 2l - 13. 3m = 4. 12l = N 2. 12n
108
seu 2. 12. 22C = 13. 2 + 3 BM + 2. 12n.
+ 12.4
X= rixi ta xFI
OsX = 6 XFI
e2XIIaZXHI L1. X+
2X+1
-15X+1 + 30XFI - 15 X+1
=20 +30
30sx = 6x+1 = 15XH Y10
XPEX - XEI - 2XHI
+2XHI = X+1 = 2X+1 + X+I
= 6 X+1
= IC
330
55
= 2XtC
a
n
216
92 80
us
27
c
2
5
240
292 242
10