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Books Books 1 - 10 of 180 on Thus, that the square of the hypothenuse of a right-angled triangle is equal to the....
" Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice a hecatomb when he made out its proof ?  "
The Modern Preceptor Or a General Course of Education: Containing ... - Page 333
by John Dougall - 1810 - 580 pages
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The Analectic Magazine...: Comprising Original Reviews, Biography ..., Volume 8

1816
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Plane trigonometry - 1814 - 346 pages
...legs ; the square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules, is evident....
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The Annals of Philosophy, Volume 8

Agriculture - 1816
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper length...
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Annals of Philosophy, Or, Magazine of Chemistry, Mineralogy ..., Volume 8

Science - 1816
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a proper length...
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The Analectic Magazine ...: Comprising Original Reviews, Biography ..., Volume 8

Washington Irving - 1816
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would...
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The Literary Gazette: A Weekly Journal of Literature, Science, and ..., Volume 2

William Jerdan, William Ring Workman, Frederick Arnold, John Morley, Charles Wycliffe Goodwin - 1818
...nature of sines (here called signs by an error of the press) and tangents ; he demonstrated the problem that the square of the hypothenuse of a right-angled triangle is equal to the squares of the other two sides, thus, " Having drawn a figure with a pair of compasses on paper,...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 224 pages
...algebraic formula (a + 6)x(a— 6) = (a3— 63) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. . 109. Demonstration. Let ABC (fig. 109) be a triangle...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...algebraic formula (a + 6) X (a — &)= (ať— b') (Alg. 34). THEOREM. f / 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. 109. Demonstration. Let ABC (fig. 109) be a triangle...
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Elements of the History of Philosophy and Science: From the Earliest ...

1827 - 560 pages
...His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an ecstacy of...
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The Gardener's Magazine and Register of Rural & Domestic Improvement, Volume 3

Agriculture - 1828
...feet, and the space travelled over two, then, by the forty-seventh proposition first book of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 10 X 10 = 100, and and 2 x 2=4 4- 100= A/I 04= 10 feet^y;...
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