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" In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs. "
A Treatise on Algebra - Page 183
by James Edward Oliver, Lucien Augustus Wait - 1887 - 412 pages
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Penny Cyclopaedia of the Society for the Diffusion of Useful ..., Volumes 1-2

Encyclopedias and dictionaries - 1833 - 1092 pages
...those classes. So, likewise, when a mathematician, by means of a figure described on paper, proves that the square of the hypotenuse equals the sum of the squares of the other sides of a right-angled triangle, although the image in his mind is that of a triangle of...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 1

1833 - 540 pages
...those classes. So, likewise, when a mathematician, by means of a figure described on paper, proves that the square of the hypotenuse equals the sum of the squares of the other sides of a right-angled triangle, although the image in his mind is that of a triangle of...
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A Practical and Theoretical System of Arithmetic...: Also, a Treatise on ...

George Willson - Arithmetic - 1836 - 202 pages
...distance of 14 rods, on a level with its base ; what distance in yards did he shoot ? Ans 81.15+yards. As the square of the hypotenuse equals the sum of the squares of the two sides, it is evident, that the square of one of the two sides, is equal to the square of the...
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A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - Arithmetic - 1838 - 194 pages
...of 14 rods, on a level with its base ; what distance in yards did he shoot ? Asn? ' '' -(-yards. As the square of the hypotenuse equals the sum of the squares of the two sides, it is evident, that the square of one- of the two sides, is equal to the square of the...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...solution of a quadratic equation ; it extends also to a much wider application the fertile truth, that the square of the hypotenuse equals the sum of the squares of the sides of a right-angled triangle ; and it supplies the easiest and most certain rules by which...
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The English Cyclopaedia

Encyclopedias and dictionaries - 1866 - 520 pages
...those classes. So, likewise, when a mathematician, by means of a figure described on paper, proves that the square of the hypotenuse equals the sum of the squares of the other sides of a right-angled triangle, although the image in his mind is that of a triangle of...
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Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", Volume 1

Charles Knight - Encyclopedias and dictionaries - 1866 - 532 pages
...those classes. So, likewise, when a mathematician, by means of a figure described on paper, proves that the square of the hypotenuse equals the sum of the squares of the other sides of a right-angled triangle, although the image in his mind is that of a triangle of...
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The Elements of Arithmetic: For Intermediate, Grammar, and Common Schools ...

Edward Olney - Arithmetic - 1875 - 338 pages
...notice that 6 s + 8 2 = 10", and in Geometry this is found true of all right, angled triangles; viz., The Square of the hypotenuse equals the sum of the squares of the other sides. 9. If the base and perpendicular of a right-angled triangle are respectively 14 and...
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Complete Arithmetic Combining Oral and Written Exercises

Indiana. State Board of Education - 1886 - 360 pages
...triangle is 6 feet and the height 5 feet: what is the hypotenuse ? NOTE.—It lias been shown that the square of the hypotenuse equals the sum of the squares of the other two sides; the difference between the square of the hypotenuse and the square of one of the...
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Quarterly Publications of the American Statistical Association, Volume 17

American Statistical Association - Computer network resources - 1921 - 1088 pages
...1. Construct AXi perpendicular to OXi, giving the right triangle OAX\. By the familiar relation that the square of the hypotenuse equals the sum of the squares of the other two sides, we have (A Xtf = (OA)2 - (QZi)2. But OA being taken equal to unity and 0-X\ =...
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