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" 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. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 97
by Charles Davies - 1854 - 432 pages
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Captain Sam, Or, The Boy Scouts of 1814

George Cary Eggleston - 1876 - 238 pages
...line because I know that the square described on the hypothenusc of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...H CBI PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side BC...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1877 - 368 pages
...of the polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two tides. U Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1888 - 826 pages
...polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle it equivalent to the sum of the squares described on the other two rides. IS Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...
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Club Essays

David Swing - English essays - 1889 - 266 pages
...rather cry out, "Eureka! eureka!" over a bunch of wild flowers than over the idea that the square of the hypothenuse of a right-angled triangle is equivalent to the sum of the squares of the other two sides. We all believe the utterances of geometry. "We do not entertain any doubt over...
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The Teachers' Psychology: A Treatise on the Intellectual Faculties, the ...

Adonijah Strong Welch - Educational psychology - 1889 - 299 pages
...inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal to the sum of the squares described on the other two sides, by dividing each of the three squares into small squares whose area is one inch each; then counting...
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An Advanced Arithmetic, Theoretical and Practical

James William Nicholson - Arithmetic - 1889 - 395 pages
...find the third side. THEOREM. — The square described on the hypothenuse of a right triangle is equal to the sum of the squares described on the other two sides. Hence, the square of cither side about the right angle is equal to the square of the hypothenuse diminished...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 393 pages
...COMPARISON OF AREAS. Proposition 7. Theorem. 374. The square described on the hypotenuse of aright triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, rt. angled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq....
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The History and Science of Education ...

William J. Shoup - Education - 1891 - 332 pages
...engine; or the mathematician who should publish as an original discovery the astonishing fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares on the other two sides, or the geographer who should just discover that the earth is a sphere. The...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1891 - 322 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at C ; then the square AH, described upon the hypotenuse, is equal...
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