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although the pascal triangle is named after blaise pascal, several other mathematicians applied their knowledge 100 years back before the birth of pascal in1625. jia xian presented this mathematical triangle in 11th century. Yang Hui studied the triangle in 13th century. therefore, it is known as the yang hui's triangle in china.
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Euclid developed Euclidean geometry around 300 BC. I cannot get much briefer than that.
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See link at bottom. Pascal's triangle begins with a 1 at the top. This is row 0. The first row of Pascal's triangle 1,1 corresponding to n = 1 and i = 1 and 2. The second row of Pascal's triangle is 1, 2, 1, corresponding to n = 2 and i = 1, 2, 3 If we have (x+y)^2, we have (1) x^2 + (2)xy + (1) y^2 so Pascal's triangle gives the constants in front of the variables. Also, ai = n!/[i! x (n-i)!] Example, 5th row third element is 10, which is calculated as 5!/[3! x 2!] = 5 x 4/2 = 10. http://en.wikipedia.org/wiki/Pascal's_triangle
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Your question was brief.
Give a brief history of euclidean geometry?
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