Pascal's Arithmetical Triangle

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The figurate numbers -- Combinatorial rules -- The combinatorial numbers in India -- The combinatorial numbers in the West -- The binomial numbers -- Pascal's Treatise on the arithmetic triangle -- Pascal's Treatise part II and associated tracts -- The arithmetic triangle in analysis -- The binomial and multinomial distributions -- Bernoulli's Ars conjectandi -- Epilogue -- Pascal and the problem of points -- The gambler's ruin -- Commentary on Ars conjectandi -- Table of binomial coefficients