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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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Preston-Stevens Standard Arithmetic, Book 2

DeForest A. Preston, Edward Lawrence Stevens - Arithmetic - 1910 - 380 pages
...necessary : 384. In a right-angle triangle the side opposite the right angle is called the hypotenuse. 385. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In the triangle shown, at the left, Therefore, x = Vo 1 + 6 2 ....
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Advanced Arithmetic

John William McClymonds, David Rhys Jones - Arithmetic - 1910 - 338 pages
...square upon the hypotenuse with the number of units in the sum of the squares upon the other two sides. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Answer the following from the figure: 5. If the number of squares...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...(each measured by J arc AC}. . -. A BCP~ A ACP. 366 -. 363 PC PA PROPOSITION XXXIV. THEOREM. 391. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. 114 AD Given the rt. A ABC, 2 C being the rt. . To prove AB' = AC'...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...\l \ \ , 6 **• r*' ^ ^- ~* _ AREAS OF POLYGONS. 319. THEOEEM. The area of the square described on the hypotenuse of a right triangle is equal to the sum of the areas of the squares described on the other two sides. Given the right triangle ABC, and the squares...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...pairs of triangles: ACD and ACB, CDB and ACB, ACD and CDB. PLANE GEOMETRY. 262. THEOREM. The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. n B Given A ABC with a right angle at C. Call the lengths of the...
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Intermediate and advanced

John Charles Stone, James Franklin Millis - Arithmetic - 1910 - 440 pages
...500 BC that the fact that we find true here is true for any right triangle, viz. that The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. 5. Carpenters make use of this fact in laying out the foundation...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...given point in one of its sides. BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 439. The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs. G LH Given AH, AD, and CF, squares on the hypotenuse AB, and the legs...
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Second-year Mathematics for Secondary Schools, Volume 2

George William Myers - Mathematics - 1910 - 304 pages
...proof of the formula, the following theorem is needed: PROPOSITION III 235. Theorem: The square on the hypotenuse of a right triangle is equal to the sum of the squares on the sides including the right angle. Conclusion: 5 =5, +5,. Proof: Draw CD_AB, dividing...
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Secondary-school Mathematics, Book 2

Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...proportional between the whole secant and its external segment 287 Squares of Lines THEOREM XLVII 193. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs 187 THEOREM XLVIII 195. In any triangle, the square of the side opposite an...
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Complete Arithmetic

Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1911 - 424 pages
...ABC, which lines are the legs? In triangle DEF1 In triangle KLM1 529. By geometry it is proved that The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. The truth of this proposition may be shown in many ways, one of which...
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