# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068100:0017
# Permalink to this reading: https://leibnizlegible.com/page/00068100:0017?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 5
# Folio 9r, page id 00068100:0017
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068100&page=17
# Source image: https://digitale-sammlungen.gwlb.de/content/00068100/jpgs/default/00000017.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.74
# 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.

a = = - a
h hh
hh- Zha taa = 1 - 2a + aa
N = 3tiha F 3haa  a = h - 3 a + 3 ap - a
h -4n a + Chhaa - 4ha2 +  = hh- 4tra +b a 4 + a
XX = hh-2ha + aa 1 2a + aa
+ .  t-2
1. 28 CM3
+P. P-1. P. 2 . s. M. Z. et ita porro. quae series positis
At r= fX +g
rx + rb + +XX + 2txa + taa sit  na
firt fXX + gX + bfx +bg +X X + x + taa
fiet fx  et fiet f= -t et g + bf + 2+ a =0,
seu g = = bt - 2at, et bg + taa = 1 seu bbt - 2abt + t aa = 1
seu + = aa -2ab + bb et Y =  = p X + b- 24
+  U+tt
au- 2ab + bb
aa- 2ab +bb
r-fxX R9X + ela 1
7 + L = rL + th erit rl+ +h = 1
sit fx e taiX
  B (= - +  - f h- l = a - b - L + 1
AhL. d +h
Ucl  sit
hhl
hhl h
hh hl
Tihil = a.b hl bua, tih
ia + 1 et substituendo  
E a b, hhl
b-a, h3
prohht valore
q
h.l= a-b =  = + et  = arb, hb b. a hitr
ht htr
a= b3l ato, bua, h a b, baa, tih  6a i
- sA, L a b, brach adbi baasit dob  a, h. bca 
ut fet 
a-b hl
= t h- 1 = a- b- 1 1 Ergo fit
atb, hh, bta bl
tel tel
hhl
a b, a b, hl a-b, baa, hh b-a, k
eom
Eh h3
numeris e, et m, rationalibus integris semper est finita
hk l1.
 et
tq = altu i el aabit bnat  titl
et f=
hh. hi
Aha + hhaa- +hae + cd = h - 4a + baa = 4 B + a
P- M - 1
pl. thh
P + = ==
 tihit
fiet th l=
Et =
h hk
hhr ut  Hd hsia  otiaa -  1 - 34 + 7d a - a
1. 2.3
h- 15 a -b - = - 8+ et
+L
= a b, au b, l a bibea, h b- a, tih
absit brasi
sliao = tos t t 
eL ∞.
sit H = t
 ad
 actih aub id crbiten aet At  et et 
tt BBn.
het o  t ipasit el
sit fexta,
it
-