Tag Archives: square

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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Incenters And Golden Ratios In Square

Incenters And Golden Ratios In Square   We denote (X, x) as a circle centered at X with radius x. In square ABCD: M, N, P are midpoints of AB, BC, CD respectively. a is sidelength of the square. E … Continue reading

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Inscribed Heptagon In A Square

. ABCD is a square with center E. M, N, P, Q are midpoints of segments AB, BC, CD, AE respectively. Other points are constructed by intersections of lines as in the picture. They bound one yellow heptagon in the … Continue reading

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