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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. "
The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ... - Page 302
by Albert Newton Raub - 1877 - 342 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...the study of geometry with wonderful ardour and success. It was he who discovered that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. To express his joy and gratitude for this great discovery, we are...
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On the study and difficulties of mathematics [by A. De Morgan].

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...
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The Theory and Practice of Surveying: Containing All the Instructions ...

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...
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On the Improvement of Society by the Diffusion of Knowledge: Or, An ...

Thomas Dick - Education - 1833 - 458 pages
...of mathematical and 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...
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The Works of Thomas Dick, Volumes 1-4

Thomas Dick - 1836 - 682 pages
...of mathematical and 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...
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

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...
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On the mental illumination and moral improvement of mankind

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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...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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A Philosophical Dictionary, Volume 2

Voltaire - Philosophy - 1843 - 644 pages
...cone and a sphere, is not of j the sect of Archimedes ; and he who \ perceived that the squares of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is in consequence a Pythagorean. W hen we вау that the blood...
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Familiar letters on chemistry, ed. by J. Gardner

Justus freiherr von Liebig - 1844 - 242 pages
...practical examples, before the science was established by abstract reasoning. 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...
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