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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 3 (shelfmark LH35, 3 B 3)
# Folio 8r, page id 00068253:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068253&page=15
# Source image: https://digitale-sammlungen.gwlb.de/content/00068253/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.83
# 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.

qsi a et b  aequalibus sit q21 erit q= 1 + a +b
si a et b incequalibus set g = a, prit g= a(+ ab. Ergo erit
q-1  a + b, 9- a() ab 299- 1+ a +b 19 + afa 
fiat + ∞ = et (+) ∞ + ∞-
a
fiat 9= 1 + b abimo 1- b tab
ab
abs
si aa = a oportet esse quantitates afformativas
ab
si aet b aequalibus sit g= a fit g- d + a + b
si a et b in aequalibus sit q= 1 fit 9 = 1 (+) ab.
fit 99 - 1(1) ab 19 +a +a b
s
42
9
-a f a +b5C (+) ab (f (+) ab 4(
Ig 9(4) abq
a 4b (1) ab
abta ta
seu q-1a quoed demonstrat a semper esse 1. quod estgem
si a b euntot abba
 si a nen cb, t ab =0
nisi, si a et b sit 0, quo casu est d
et a+ b-, seu a = 1-b
si a =  erit q  b, a
a i ab a 2+ ab, si a -b sit
1 ob a et b aequales sit qE,a; et d inaequabs sit 1
Vam
ab
=a L a +b (+) ab. - a + a  + b() ab
a
si a non - b eut 4
ergo si a sit 1 et b sit 1 eut 4, 1; si a sit 0 et o nib
d = 0 si 1a sit 1 et b sit a erit g = 1 si a sito et b sit
1. Ergo q est 1, nisi cum a et b esto
seu ab a et b, 8 est 90 et ab a ul b)
cubrq
irgolhaequsu
en  aab
si ob a et baequabs sit q = a et ob inaequales sit
+
C
fit ta ergo si a sit 1 et b sit 1 erit 4. 1. si asit aet bsito
ert qua si a sit 1 et b sit 0 erit 9,0 p. si asit 0 rtbsit 1
erit q,0. ergo a erit 0 excepto casu quo b est a et
est 1. ergo res huc gredit, ut ob et a et b p 4 sit 1,
et ob a vel b, 04 9sit 0, seu q= ab
si ob a et b aequalis sit 4,0 et ob in aequales sit qua. sit
Ergo ob a et b, 1 fit q,e: et ob a et b, 0 fit 40. ut ob a B et b, C
fit 4.0 eti ob a, 1+b et b, 0 fit 41 seu qsit 0, nisi a
sit 1. eggu a ab a sib 1 et b sit 0, hinc g- a ab