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" The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. "
Elementary and Constructional Geometry - Page 91
by Edgar Hamilton Nichols - 1896 - 138 pages
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Plane Geometry

Royal A. Avery - Geometry, Modern - 1925 - 360 pages
...the area of the triangle. (§ 121) Proposition IX. Theorem PYTHAGOREAN THEOREM 369. The square upon the hypotenuse of a right triangle is equivalent to the sum of the squares upon the two legs of the triangle. LE Given: The right A ABC with the square AE upon the hypotenuse...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 8

Electronic journals - 1901 - 338 pages
...QED 141. Proposed by MA 6RDBER, AH. War Department, Washington, DC The equilateral triangle described on the hypotenuse of a right triangle is equivalent to the sum of the equilateral triangles described on the other two sides. Prove without the aid of the famous Pythagorean...
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Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 906 pages
...To construct a triangle given the angles and the perimeter. (Wt. 10.) No. 7.— Theorem: The square on the hypotenuse of a right triangle is equivalent to the sum of tnesja (Wt. 12.) on the other two sides. No. 8.— Theorem: In n paralldo?ram the sum of the squares...
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