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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 3v, page id 00067996:0006
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ille enim
datis.
aid
semel repertus serviet pro omnibus residuis
Commodissimum ergo est talem quassumeret
numerum X. ut diff differentia inter si residuos,
si per C, et b. dividatur, sit unitas; ita enim
residuorum differentia semper metietur quotientes, quia
Unitas quemlibet numerum metitur.
Hoc autem
eveniet rursus commodissime si numerus. X sit talis, ut
per unum divisus divisorem ulivisus relinguat nihil, per
alterum divisque relinguat unitatensi
Ergo
erit Xa
et
b
5 + 0.
xa.  5 +
(10).
Erit ergo X multipls pera b. ponamus ergo XH
fier ex Aeg. 10 fiet : Z Y 8 + 0. (13)
an
et ex ateu. 1 fier:
Unde:
b
215
+
1 b  C t a
na
n
C
1
quod id ipsum est, quod aequatione 7. dixeramus. ut adeo apparec
consensus sisse
+
aliud superest, quam ut dus inveniamus numeros istos
Numerum Zb, sive Nb, vel X4. quam ad re
v
xeqdendam. emiendum ojam est ad naturam numerorum
Ergo TC + a debet divi di posse p b. Z
Id est quaeritur numerus qui ltiplipatus per datum accedente
unitate dividi possit per alium datum primum cum priore.
id est reperiendi sunt; multiptus a b, et multiplus a C, diffe.
rntes  prior excedens posteriorem unitate
1 2C,  11.
221
-V
9-
10r 14
39  A
A
3
V
f
Recenseamus ordine aliquor numeros qui per quos ali unitate
differentes, per alios divisibiles: urnm ma
12 1N. 8. 91 14. 15 16 N. 20
1,, 24 37 27 32 
e
72
53
44
2 1) 311, 2t, nc 21 + et i 2B
10
45
er s c
1922
21N24. 25
1d
H. 3F + 1 5F + 2T +1 seu T + 2Ft. Ergo (1
Quod ita Analytice invenietur
122
C7
o
2u V5