Pascal's Triangle

(Playground)

7th Consequence

In every arithmetical triangle the sum of the cells of each base is double that of the preceding base.

Let any base, WRLD, be taken. I say that the sum of its cells is double the sum of the cells of the preceding base, QKC.

Therefore W + R + L + D = 2Q + 2K + 2C.

Next :: (8th Consequence)
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2
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7
8
1
G
1
B
1
C
1
D
1
E
1
F
1
H
1
I
1
2
J
1
K
2
L
3
M
4
N
5
O
6
P
7
3
Q
1
R
3
S
6
T
10
U
15
V
21
4
W
1
X
4
Y
10
Z
20
AA
35
5
AB
1
AC
5
AD
15
AE
35
6
AF
1
AG
6
AH
21
7
AI
1
AJ
7
8
AK
1