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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 114r, page id 00068194:0227
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=227
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000227.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.87
# 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.

15 X18 21 bbbcdd = bcccdd = = bbec dd
22 bbbccd F bccddd = 2 bbccdd
25) bbcccd + bbcddd = Zbbcc dd
21 +22 +23 24 : bbbcdd L bcccdd
=bbbccd F bccddd 6bbccdd
F bbcccd. F bbcddd.
Lemm. 5. 3. 5. 2bbb. + ccc = bbc + bcc
Lemm. 3. 5.5. 26 bbb- + ddd = bb d. + bdd
Lemm. 3. 5. 5, 27 ccc + ddd = ccd. F cdd
X 28 ddd
X 29CCC
+ 30 bbb
25 X 28 (31 bbbddd F cccddd = bbcddd. + bccddd
26=29 32 bbbccc + cccddd Z bbcccd- + bcccdd
27 X 30 33 bbbccc. F bbbddd = bbbccd - F bbb cdd
31 +32+33 34: 2bbbccc F 2 bbbdd d F 2cccddd = bbbcdd. F bccc dd
3
F bbbccd F bccddd
t bbcccd. F bbcddd.
:=bbbccc. + 2bbbddd + 2ccc ddd = 6bbccdd
2
25 -:- 36 37 : bbbecc. + bbbddd. + cccddd = 3bbecad . . - - - ut in num - 12.
24 = 38 39) 3bbbcdd + 3bccc dd
+ 3bbbccd L 3bccddd 18 bbccdd
F3bbcccd. F 3bbcddd
407: bbbccc + bbbddd. t. cccddd
F 3bbbccd. L 3bbbcdd
=3bbcced + 3bccedd 21 bbcedd
+ 3bbcddd F 3bccddd
41 bbb ccdd
bbbecc. + bbbddd. + cccddd
= 3bbbccd. F 3bbbcdd
F 3bbcccd- + Zbcccdd
+ 3bbcddd F 3bccddd
F 6bbccdd
t 3bbbccd + 3bbbcd d
+ 3bbcccd F 3bcccdd
+ 3bbcddd F 3bccddd
F6bbccdd
Ldodetur
10X 19
17 X20
24334 35
2
X 38 3
bbccdd
bbbccc + bbbddd L cccddd
57+ 39
0- + 41