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Regularizations of non
Regularizations of non

... between zj − c and zj+1 − c will be helpful in all geometries. If we consider the construction, we remark that the vertices of the new equilateral triangle lie on the median line of each side of the original triangle. So a possible variation of Napoleon’s triangle construction is the following: Tran ...
HoMProblem1_solution
HoMProblem1_solution

... a) What is the first number in Row 20? What is the last number in Row 20? b) Determine the sum of all the numbers in row 1, the sum of all the numbers in row 2, the sum of all the numbers in row 3, the sum of all the numbers in row 4, the sum of all the numbers in row 5. What do you think is the sum ...
An Old Max-Min Problem Revisited - Mathematical Association of
An Old Max-Min Problem Revisited - Mathematical Association of

Since an equiangular ∆`s congruent angles number three, both base
Since an equiangular ∆`s congruent angles number three, both base

... ...
3 Three III
3 Three III

... to 90 degrees), the square of the longest side—called the hypotenuse—is equal to the sum of the squares of the other two sides. A triangle with sides of lengths 3, 4, and 5 has this property, because 32 + 42 = 52 . No right triangle, whose sides have integer lengths, can have a side of length 1 or 2 ...
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Pascal's triangle

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