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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 22v, page id 00068255:0044
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=44
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s
redit,  ad residuum a quadrato addatur residuuam
a differentia, inde residium erit residuum quadrati sequens
Resodui differentiarum sunt residui numelom propesionis
metricae arithmelicae, nempernum nam differnliae
quad ratorum sunt numen impares. Haec regula est
generalis pro omnibus potentus, ad residuum a quad potentia
addatur residuum differentiae a potentia sequente 
habebitur residuum a potentia sequente. Hinc psidui
Resdm cuiuso generaliter residui curdusvis sriei, sunt
residur, ex summis residuorum a differentiis
sit scires
differentiae
a b c d
pdm aferminis
Res
ven
qet
mn
Resiou a differentiis r
Resid ab ma f = n
resid ab
resid ab
e p
Fdnes a b c d e
h K
differentiae
Rotioniprici
+ d
l m n p
Retidinidifferentiam Y 5 + V
Resid ab arg - resid a b quia a + =
Refid. ab d +K = refid. ab C) quia e = resio a d+K.
Refid ab Resid a dt  d_d +k = resd.. R(dFK) = _ R (Rd + RK) =
tr. a b cde
n n P 
D+ V)  p = R(C+ h) = R(rCt rh) = R (n + F)
Ergo 9= R(n + + +0) et eode
R
modo
pergendo, patet fore A(l+ r+ 5 + F +0) =c
e
 plama differentia sit aequalis primo
RpeY.
l
X
Rdis l Y 54V
ddiff
25 g 2h 2k
eum residuo terminiprimi
derminu cum scilicet incipitura
Rresiduum etagregato a residuis disfedntam Agroat numerorum
d Eut Residuns ultimi termini inserce
progressiones nirthmetica. summa residuorum est residnum a multis
trmitum primm progressionis.
No
ifferentiae constantis aucto per
4 9 16 25 36. 49
222 2
Resid. a  1 est resi. a 2. 6+1
Resid ab
Dere
2. 5+ 1
2.4 + 1
ere
Resid. à 49 = Les e P13 + R. 11 + R9 + etc)