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" The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. "
Elements of Geometry Upon the Inductive Method: To which is Added an ... - Page 61
by James Hayward - 1829 - 172 pages
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...PROPOSITION IX. THEOREM. 270. 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 is AC, and let. AE be the square upon the hypotenuse,...
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A Common School Arithmetic

Bothwell Graham - Arithmetic - 1895 - 240 pages
...having one right angle. 6. The square described upon the hypotenuse (side opposite the right angle) of a right-angled triangle is equivalent to the sum...of the squares described .upon the other two sides: whence, the hypotenuse is equal to the square root of the sum of the squares of the other two sides...
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Proceedings, Abstracts of Lectures and a Brief Report of the Discussions of ...

National Education Association of the United States - Education - 1895 - 1120 pages
...daisy is not apt to get its full share of attention. When we draw to show that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we are aided by seeing visible proof of the statement, and the drawing does...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...to find a mean proportional between two given lines. 6 6. The square described upon the hypotenuse of a rightangled triangle is equivalent to the sum...of the squares described upon the other two sides. (Give the pure geometric proof. ) 7. In a triangle any two sides are reciprocally proportional to the...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...how to find a mean proportional between two given lines. 6. The square described upon the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described upon the otfier two sides. (Give the pure geometric proof.) 7. In a triangle any two sides are reciprocally...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 3

Mathematicians - 1896 - 368 pages
...will be appended to the completed list. THEOREM. The, square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other tiro sides. , PROOFS. ' ' I. RESULTING FROM LINEAR RELATIONS OF SIMILAR RIGHT TRIANGLES. Let ABC be...
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An Elementary Treatise on Electric Power and Lighting: Arithmetic ...

International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...18 = lOf. Ans. FIG385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse...
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A Textbook on Plumbing, Heating, and Ventilation, Volume 1

1897 - 366 pages
...-^— = lOf. Ans. lo 385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...a right angle. 714. In any right-angled triangle, the square d':v,ribed on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 38, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse...
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 55-59

United States Naval Academy - 1899 - 624 pages
...its base and altitude. Prove geometrically that the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 5. What is meant by dividing a line in extreme and mean ratio f A line AB, length a, is divided in...
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