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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 11
# Folio 10v, page id 00068261:0020
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10 32 64 128 256 512
3i68 615
8
2047
1024
2 = n9 + Y = n (9Y1) - 8
 ng+r = 2
 1G) + (1) = 2 et
n n) ((9) + (r) =
et2
re-n 
e
16384
4096 6192
ZPH1= n (9) +Y)
2e2 = n() + (C1)
2 = HG +Y
2
e
t
R2 +M
en
per ugitate diff
rertes divis
_ _2 = gn + Y = pn - p. fit Y + 5 = (p - 9) H
(3A
2n1t
t (Z
pif 341
=M+Y
 M + Y
2E = gn + Y
Ergo YF5= K, ,
p.7-1 (1H6
s 1+6
 = gn tY = = Kn + Ergo Z
2
M
= qu. + Y 2 = qu + r3. Ergo Re E = R r. 2m
hetm = Kn + 5 = qn 2 + YX. Ergo C = e Y2
e qu 1V  (911)p + C 2e = gn +r = p(2 + 1) +B, fi.   p+ C
Y.
Dn
vel  e-Y = (9- p) n = p vel, r - e = p + (9- p) n. Ergo disserentia, duorum residurorum
a
est residuns quotientis  a divisore proximemajore
t
Htoc verum est in quantitate quacunque cujus duo divisores differunta sola unitate
= p(n+ d) +8 sit re = (p- qn tap. Ergo generalite
et qn+r
si diferentia residuor est Resictus artis numeri ejusdem per binos divisi est
Residuns proditurus si quoticns a majore per divisorum differentiam mulplicatus
quotiens 9 residuom
1024 dividatur per 3 residuus est 1 C dividatur per u, residuas est 1. dfferentia eorum est d
Ergo si 33 multiplicatus per 8, ut prodeat et productus 24 dividatur per 3 asiduns est as
Ergo generatim  differentia duorum residuorum numem biusum per binos sivis est resos proditurus
1
si quotiens a minore divisore per dafdibijorum differentiam multiplicatus dividatur per majorem divisore
EY. gr. 10c4. dividutur per H, residuns est quotiens et 93;  dividatur per 3 residaus e st) quotens est 341 differentia resi
Ergo si 24) musiplicatus
Resinam iput esto 
pe
bdi
per 11, residuns erit C. Hinc si differentia uio quotqu alter, ni
ea
seu
quadteus a grinore sc qu
civisinisper majne idisiem vel quot eus mtnsi pliminm
upg
aben
drjore
dos.
4
341
r. c (n ) - = (9- p) 1
cu
divisatur per minoren ivisorem quotiens 341
2728
Hursus 9n +Y = P(n - d) + C fit rCBF