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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 5
# Folio 7r, page id 00068100:0013
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 139 lines, status machine
# Lines: 139 recognised, mean confidence 0.79
# 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.

sit l = X+b; m = X+ C; n = X + d; p = X +) et ita porro. Erit
Immp cab, dub, eab. b b.c, dac, eoc, M , cud, end, B be c.e, d e, P,
ie adeo continualitur toties itaque tot prodibunt membra in valore, quot sunt nembra
 radices in numeratore; Si una ex literis constantibus, ut b sit nihilo aequalis
non ideo minus succedit calculus. Sed non aeque si plures sint aequales radices sint
aquales inter se, atque adeo si plures constantes sint nihilo aequales
sint jam aequales n et B, seu d et e. Multiplicabimus Imui per
1ia  frectio esolvendi
Lper sunt aequales sit m= m, et p absit, seu sit imm
Imun
fiet
l - m,
= num
C
imm
et
fietque
et l- m = b-c7
 seu imm  b. cmm c. b, ln
luim Im
Inm= um
i
1
im
Mursus sit resolvendi fractio imnn
sit
et M
fractio resolvenda s siet  = L et
seu  i= a bybaa h aub, a. sit  baso hhl
hhL 11
hihl
Rursus sit fractio resolvenda , fiet m
hhlm
seu d
hiht hl
hl hh
ham = a -c = 1
hlm hhl
hhlm
resploendo 
L
1
+
 et a M
htm= a-b, Im b-a, tm
Ns = a-b, ht bua, tih
a- C, hbm  ex a, hhil
1
+
hlm
et h- m = a = C
sed   jam est
.Et rursus
cua, a. b, b -a, h
sed hoc resumanus possea, num solu prigra resumens
A
Im b.d, un
b.  bi
Imn cab, ln b.c, mn  d- b, Im b. d, mn  B. c, Im c- d, In
mo dm c.d, n, et im= c.b, l b c, m = (eod) 4b -d
a - b, a - c, b. c, M a 6, P. 4 a ~, W
Gab bidin bic, cod, M bacus c d, bad, n ced s.d
jam
b. d cdin
ut ante olim
a - b, a - b, a - c, c - b, l a - b, a- b, c - b,
aC b- ct
hhlm adb, a- b, ca b, l aac, a-cbac m
+
2a-
avc + a - b
c. b ∞a+b
a - . a-c
2a -bc p4
si
b-a, cd
a-b ac
seu  cab, ba h. adb, du b
a b, l
dob, ba, t c-a, a
1a -b. l  bua cu   auc pob, cabi l acc, ar e, bac, m
=ae hlm  era itil 
aob cob, l a- cibec, m ergui hlm Cd
Aliter idem indestigabium tihla
et nim= baca, h
L
a = c, a- C, b -c, M
a - c + b - b = 
a - b a C, a - C, ba c, m
b-a +c -a
a-c, ba, ca, h ac, b. ba, h. a cC, c- a, b- a, b a
et foret
cab achh
n Hn im bun  imn in imn im
et L =
Imin. C. b, dabl cab, b d n b-c, d C, M, b-c, c. d H.
et fit ina cibdabil bac doem
aub, an c, emb, l caa, aub, a- b, l
Ex5
CM ac, a c a  
p
anbih. abc, m, Caca
Im A. m = b -- = EL mn in Imn 6. b, n
_ in = d. b, 1  b. d, n
et 
+
hhlm a-b, a. B, lm acibia, hm c. a a- b, hl cab a htr
2
 seu tihlm aob, a-c, c. b, l aub, arc, bc, M a
l = ca b, b
Imn
4
et
1 - =  et
et h = =, et Ch- l = a - b = Im tm
hlm sim him lm
et fit
Ca ab, a b, l
et .
1
- = = et h - l = a -b
hihil sit
hhtm htit
repertum, ergo fiet: phim a alm cna, dub, hil  cua  ott
ergo
SI
 aC,
ut ante
et duo lsummado sit Co1, 4 b, cab a b, cab
. Et fiet: 
GA
hhlm  b, a b, cab, l aoc, a- c, boc, M d   b. a, c. 4, 
V
4
bua, hh
c-a
a hh
a, caB
1