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" The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. "
Plane Geometry - Page 166
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages
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Regents Examination Papers

University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...equal to half the sum of its parallel sides multiplied by its altitude. 6 Prove that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other sides. 7-8 Construct an isosceles triangle, having given the angle between...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...find X? 317. 4. Construct the rectangle. PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse...
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New Franklin Arithmetic, Book 2

Edwin Pliny Seaver - Arithmetic - 1895 - 450 pages
...nearly 2500 years ago by Pythagoras, and is commonly called The Pythagorean Proposition. The square upon the hypotenuse of a right triangle is equal to the sum of the squares upon the other two sides. 602. Hence we have the following rule : 1. To find the hypotenuse,...
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Journal of Proceedings and Addresses of the ... Annual Meeting, Volume 36

National Educational Association (U.S.). Meeting - Education - 1897 - 1148 pages
...height, look him in the face, and say : "Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...the semicircle. DA will be a mean proportional between in and n. 315. PROPOSITION XV. THEOREM 317. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.* GIVEN — the right triangle ABC right angled at A, with sides...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...semicircle. DA will be a mean proportional between m and n. 315. QEF PROPOSITION XV. THEOREM 317. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides* GIVEN — the right triangle ABC right angled at A, with sides...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...semicircle. DA will be a mean proportional between m and n. 315. QEF PROPOSITION XV. THEOREM 317. The square of the hypotenuse of a right triangle is equal to thc sum of the squares of the other two sides* GIVEN — the right triangle ABC right angled at A,...
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Proceedings, Abstracts of Lectures and a Brief Report of the Discussions of ...

National Education Association of the United States - Education - 1897 - 1148 pages
...height, look him in the face, and say : " Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining...
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Journal of Proceedings and Addresses of the ... Annual Meeting Held at ...

National Educational Association (U.S.) - Education - 1897 - 1170 pages
...height, look him in the face, and say : " Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining...
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A History of Elementary Mathematics

Florian Cajori - Mathematics - 1898 - 512 pages
...Pythagoreans is much concerned with areas. To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. He had probably learned from the Egyptians the truth of the theorem...
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