# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068009:0016
# Permalink to this reading: https://leibnizlegible.com/page/00068009:0016?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 12
# Folio 8v, page id 00068009:0016
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068009&page=16
# Source image: https://digitale-sammlungen.gwlb.de/content/00068009/jpgs/default/00000016.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 20 lines, status machine
# Lines: 20 recognised, mean confidence 0.86
# 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.

3 XXVI. - d. b = - ab
Demonsa. - a cb L -  Cax. 9) 1. a b = (6iprific.) 2t. ab = sep. 9) - ab
XXVII. (a (- b) = ab
Demonstr (a ) 6)  -a Cb B 0 = - - a 0 (ap. 6. 7) = = a (b- b)
= (ax (0) (- a)6q (=a) (b) = (pro p. 26) - ab + (- a) (= b) Donc 0 =
- ab F (- a) (- b)
n XXVI. S’il y a a - b = 0, il y aura a = b
Demonst. puisqu il ga a - b =0 (tapposition) il q aura ( o 4)
a-b + b = 0+ b = (ax. 5) b. Denc a -b +b (F b = a - b + b = ( p 9)
a + b - b = (ax. 4) a.
XXVII Silga  il us aura a - b
demonstr. car (ax. 4.) a - a = b - b. Donc (ax. 1) a a - b a
R - b = b - b = (ax. 4)0. Donc a - b = 0 et par ( par consequent (26) a = b
n XXVH S il y a  C a = C as = 1 il yaura a = b
XXVII. E it y a  a = b il y aura = b = a (ap. 2. 5)
Demonstr +a a Aa =   (ap. 45)  a = (sppo s.) b = b + b -b
+b - b - a = (ap. 4. 5) - a =
XX VII 5’illy a Z - 1 il y a a = b
domonstr 4 = 1 =
E_ dnc fb = 1 .b (. donre (2.) a-