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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 - Σελίδα 392
των James Charles Byrnes, Julia Richman, John Storm Roberts - 1913
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - 1900 - 184 σελίδες
...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°,...

Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - 1902 - 186 σελίδες
...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°,...

School Science and Mathematics, Τόμος 11

1911 - 946 σελίδες
...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...

High School Algebra: Advanced Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1908 - 216 σελίδες
...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...

Advanced Calculus: A Text Upon Select Parts of Differential Calculus ...

Edwin Bidwell Wilson - 1911 - 302 σελίδες
...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....

First Principles of Algebra: Complete Course

Herbert Ellsworth Slaught, Nels Johann Lennes - 1912 - 508 σελίδες
...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...

Plane Geometry

William Betz, Harrison Emmett Webb - 1912 - 368 σελίδες
....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...

Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - 360 σελίδες
...= 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...

The Pupils' Arithmetic: Bk. VI.

James Charles Byrnes - 1913 - 468 σελίδες
...the hypotenuse, a the length of one side, b the length of the second side. Then . x 2 = a 2 + ft 2 . 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. 3. 48 ft. and 36 ft. 11. 20 rd. and 16 rd. 4. 9 ft. and 12 ft. 12. 25 ft. and 12 ft....

Final Report of the National Committee of Fifteen on Geometry Syllabus

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - 1912 - 100 σελίδες
...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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