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" In right angled triangles, the' rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. "
Elements of the Geometry of Planes and Solids: With Four Plates - Page 44
by Ferdinand Rudolph Hassler - 1828 - 159 pages
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 25-32

United States Naval Academy - 1874 - 888 pages
...segment. 3. Prove that the square described npon the hypothenuse of a right triangle is ¡nivalent to the sum of the squares described upon the other two sides. 4. Prove that the side of a regular hexagon is equal to the radius of the circum;ribed circle. Denoting...
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The Overland Monthly, Volume 14

Bret Harte - California - 1875 - 612 pages
...father of the proposition that "the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the other two sides"), or that Euclid himself, did not lend his knowledge and skill to its solution. What they did not do...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...given line may be equal to a given space. .. 240 31. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle is equal to the sum of the similar and similarly described figures upon the sides containing the right angles. . . 240 32. If...
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Harvard Examination Papers

Robert Fowler Leighton - 1877 - 372 pages
...Give proof. 5. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 6. Given two similar polygons, to construct one similar to them both and equivalent to their sum. 7....
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An American Girl and Her Four Years in a Boys' College

Olive San Louie Anderson - Ann Arbor (Mich.) - 1878 - 284 pages
...Well, then, you may prove that the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the other two sides, and also that the angles at the base of an isosceles triangle are equal." Then followed more propositions,...
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The science of arithmetic, by J. Cornwell and J.G. Fitch

James Cornwell - 1878 - 386 pages
...1d. per square foot. 486. //. The square described on the greatest side of a right.angled triangle is equal to the sum of the squares described upon the other two. (Euclid, i. 47.) To FIND ANY SIDE OF A RIGHT.ANGLF.D TRIANGLE — 487. The number representing the...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...1 2 yards high ? • 48. Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Deductions. 1. The angles at the base...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 pages
...opposite side 12 yards high ? 48.Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. D 咀 ㏄ 祉 血 卑 l ・ The 打...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...and reciprocal rectilineal figures : and prove that in right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. 6. If the sides...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...equilateral and equiangular hexagon in a given circle. 14. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. 15. If two straight...
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