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" Pythagorean theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. "
The Pupils' Arithmetic: Bk. VI. - Page 392
by James Charles Byrnes - 1913
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...90° ; while if they are in different quadrants the hypotenuse is greater than 90°. 7. Prove that, if one of the sides of a right triangle is equal to the opposite angle, the remaining parts are each equal to 90°. 8. The angles of a triangle are 80°, 75°,...
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1902 - 186 pages
...90°; while if they are in different quadrants the hypotenuse is greater than 90°. 7. Prove that, if one of the sides of a right triangle is equal to the opposite angle, the remaining parts are each equal to 90°. 8. The angles of a triangle are 80°, 75°,...
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School Science and Mathematics, Volume 11

Education - 1911 - 946 pages
...equilateral triangle is equiangular. The square on a side of a right triangle adjacent to the right angle is equal to the square on the hypotenuse minus the square on the other side. Through three points not in a straight line not more than one plane can be passed. The areas of two...
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High School Algebra: Advanced Course

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1908 - 216 pages
...point xv yl on this circumference, it is evident that xt2 + yt2 = 25, since the sum of the squares on the sides of a right triangle is equal to the square on the hypotenuse. (See figure, p. 207, EC) The equation x2 + y2 = 25 ie, therefore, the equation of a circle with radius...
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Advanced Calculus: A Text Upon Select Parts of Differential Calculus ...

Edwin Bidwell Wilson - Calculus - 1911 - 302 pages
...of the squares of the coordinates (numbers) is constant ; or 2°, the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (Pythagorean Theorem). The second interpretation better sets forth the true inwardness of the equation....
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First Principles of Algebra: Complete Course

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1912 - 508 pages
...point xv y¡ on this circumference, it is evident that Xl2 + уl2 = 25, since the sum of the squares on the sides of a right triangle is equal to the square on the hypotenuse. (See figure, p. 173, EC) The equation x2 + y* = 25 is, F¡G 5 therefore, the equation of a circle with...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...= square CK + square CF. Ax. 1 That is, c2 = a2 + £,2. Why? 345. COROLLARY. The square on one leg of a right triangle is equal to the square on the hypotenuse diminished by the square on the other leg. 346. Historical Note. Proposition VII is called the Pythagorean...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
....4£ = square CK + square CF. Ax. 1 That is, c2 = a2 + ?A Why? 345. COROLLARY. The square on one leg of a right triangle is equal to the square on the hypotenuse diminished by the square on the other leg. 346. Historical Note. Proposition VII is called the Pythagorean...
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The Pupils' Arithmetic, Book 6

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1913 - 468 pages
...hypotenuse, a the length of one side, b the length of the second side. Then # = a2 + fe2. a2 = x* - 62. 574. The square on one of the sides of a right triangle...6 ft. 9. 10 ft. and 6 ft. 2. 40 ft. and 30 ft. 10. 10 in. and 8 in. a. 48 ft. and 36 ft. 11. 20 rd. and 16 rd. 4. 9 ft. and 12 ft. 12. 25 ft. and 12 ft....
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...equilateral triangle is equiangular. The square on a side of a right triangle adjacent to the right angle is equal to the square on the hypotenuse minus the square on the other side. Thru three points not in a straight line not more than one plane can be passed. The areas of two spheres...
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