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Pascal, Blaise (1623-62)

Blaise Pascal

Blaise Pascal

"There are three means of believing, by inspiration,  by reason, and by custom. – Christianity, which is the only rational system, admits none of its sons who do not believe according to inspiration."

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Pascal’s Triangle

Blaise Pascal

Blaise PascalPascal’s Triangle was originally developed by the ancient Chinese, but Blaise Pascal was the first person to discover special patterns contained inside the triangle. They teach his ideas in various schools online in math courses. You probably also heard of this guy from your high school math teacher.

Triangular numbers appear in Pascal’s Triangle. In fact, the 3rd diagonal of Pascal’s Triangle gives all triangular numbers as shown below:

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
    1 9 36 84 126 126 84 36 9 1   

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