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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 15
# Folio 12r, page id 00068086:0023
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Cum itam sit
t erit et ita in aeteris quodeunque patet L + L + L + L +  + etc in infinit.
12
20
in infinitum esse L = 0 = 1, et proinde 
+1 +  + L + + erc. in infinit. esse 2.
quod cum it a  assecutus essem miratus est Hugenius,
nam ipse hoc obt cum Huddenio problemata circa
aleam agitans alia longe ratione assecutus faerat.
Ego autem monstravi eadem ratione etiam summam
haberi si denominatores essent pyramidales, au triangulo-
triargulares, aliive Numeri quos combinatorios supraas pellari
Et cum _ pascalius tale dedisset Triungulum Arithmeticum
ut ipse pellabata ub aon
praecedentis; et differentiis sequentis. Ego ad ipsius
+ - + 1 =
(E+
5
30
7 21 3)
8 28 56 70
ubi quaevis series obliqua est summatiix praecedentis,
et differentialis sequentis Ego  excogi
ita exemplum exhibui Triangulum Harmonicum,
ubi cujus batis est series Harmonica , 1Z1q
etc
ut prioris series Anthmetica 1, 2, 3, 4, etc. Et utrolius quavis
series obliqua est summatiix praecedentis, et differentialis se quentis
6 15
in Triargalo parmonico Arithmetico series quaevis est
tummatu praecedentis, et dserentaus sequentis, Nam emper sautor
0
C
1 4 10 20 35 5b
6
10
15 21 27
in Triangulo harmonico contra quaevis
est summatris sequentis, et diffrentialis
9
2o
54
series (sed per datam constantem multiplicata)
842b
paretar s uito