 | Augustus De Morgan - 1831 - 108 pages
...a series of which, did he know the previous propositions, he might be convinced that the square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the sides. CHAPTER XV. On Axioms. GEOMETRY, then, is the application of strict logic... | |
 | Robert Gibson - Surveying - 1832 - 290 pages
...\ i° *™ f 6d 45 ) ( xjC 21o t , - j To find the other two sides. * Demonstration. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (theo. 14) ; hence the log. of (4CMi32) — the log. of 5C2, and by the nature... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
 | Thomas Dick - Education - 1833 - 458 pages
...physical science. That " a whole ia greater than any of its parts," — that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple... | |
 | Mathematics - 1836 - 530 pages
...a series of which, did he know the previous propositions, he might be convinced that the square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the sides. CHAPTER XV. On Axioms. GEOMETRY, then, is the application of strict logic... | |
 | Thomas Dick - 1836 - 682 pages
...physical science. That " a whole is greater than any of its parts," — that u the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple... | |
 | Adrien Marie Legendre - Geometry - 1838 - 372 pages
...PROPOSITION XI. THEOREM. 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. • Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall... | |
 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...degrees, and 4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB... | |
 | Thomas Dick - 1840 - 454 pages
...Square Root ; but no figure or explanation is given, excepting the following foot-note. " The square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under. 44 Miles. GLASGOW EDINBURGH... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...proposition agrees with the algebraic formula (a +6) X (a — 6) = (a2 — 62) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a rightangled triangle is equal to the sum of the squares described upon the two otter sides. fig 109. Demonstration. Let ABC (fig. 109) be a triangle... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
