Tag Archives: number

Finite and infinite regions defined by n lines in the plane

It is well known result in plane geometry: The maximum number of regions defined by n lines in the plane is R(n) = n(n+1)/2 +1. Of course, there are not any parallel pair from these lines. All sets of lines discussed here covers this … Continue reading

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Using sum of squares triangle to prove sum of squares formula

We construct a number triangle from the integers 1, 2, 3, . . . n as follows. The first column contains 2*n-1 integers 1. The second column contains 2*n-3 integers 2. . . The last column contains only one integer … Continue reading

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