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Blaise pascal triangle biography of michaels

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  • Pascal's Triangle

    Probably the most well-known contribution to the field of mathematics by Pascal deals with the Arithmetic Triangle, or, as it is now known, Pascal's Triangle.

    Pascal was not the discoverer of the Arithmetic Triangle or of the numbers that comprise its rows.

    He was, however, the first to formally study and explain, with proof, certain "consequences" or "relationships" that are inherent to its structure.

    The modern representation of Pascal's Triangle is constructed a row at a time.

    The first row consists of a single "1" At the right and left end of each row, there is also a "1". Each other entry in the triangle is found by adding together the two entries directly above it. Like so:

    1

    1     1

    1     2     1

    1     3     3     1

    1     4     6     4     1

    1     5     10     10     5     1
    ...

    and so on, wi