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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 3 (shelfmark LH35, 3 B 3)
# Folio 8v, page id 00068253:0016
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068253&page=16
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.
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# After the first blank line: the recognised lines in reading order, one per line.

A ob a ut b aequalas q sit 1 et ob inaequales sit
sit Ergo si a et b sit 15qst c erit q01 si a et b sit 0
a
erit q,I; si a, c et b, o; erit qul. si a, 0 et b, 1 erit qu
qu erit 410. orqu 4 est 1, nisi a sit 0 et b sit 1
9- 1+ ab a et b existentibus 0, 9 sit 1. fier
d - ab 1 ab4 1 - 4 a+b + 1 = 9
94- 4q tab fit 2 existente 0, bt b, 1, ft 4 sit 0
-ab.ab
tab
sit a + b - 1 = q
q t ergo utroque conjuncto fit
q- a - b1,  9- a - b + 1. 20
99 - a - b- 129, + a+b +2a -1 = 0 fil
∞a-bH
q.aa 9=3a +b = 1,:, 2a +2b-
quod succedit
si a ut b existentibus 1 9nsit 0 sob a, 1 et b, 0 c9n sit q eut
a= 2-a - b vera est sed non recipioa, nam nn ideo
ocostente 2- a - b  = 1, erit vel aeb, 10 la 1 et b0
nam etiam potest esse b1 et a, 0, si a, 1 et b,0
id eoque 4,1 erit q= a -b quae est salis facil utrique
itaque si a et b existantibus L, q sit  0, et a
et existentibus a, 1 et b, 0 sit q1 fiat q a - b
se proterea si obra et b existentibus 0, 4 sit 1, et
exgslente a d et b, 1 sit 4,0fiet g= 1- b + a
li
ergo in casuhoc completo an erit 1 4++b-1
9- a +b, q 11 9- a + b - 1. =0
tar ba
fil 99 = aq +2a =0 seu 9=2a -2ab , b- a
+b. +2ab1
Ob a et b, 1 erit  a - b=
4.acb
ea
ob a,  et b,0 2ab
erit a +b = 1 ~0. ueent b20
porro, si aet ob a,et b 1 sit q=0 eripotes erit q2 a- b
et si ob a 11 et b,0 sit 9= 1 perit 9 = a vel q- a ba
ergo, erit jungendo ambos easus valor q in casu uno, multipl–
cetur per valgr o in casu altem et habebitur valarq
summaent valorq in casu alioque seu unde hic
fiel q= ab - b + a - ab = a - b, quod succedit
14.