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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
Elements of Geometry - Page 67
by Adrien Marie Legendre - 1841 - 235 pages
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Mechanics' Magazine, Volume 29

Technology - 1838 - 510 pages
...equal, and together forming an inscribed square to the circle AB C D. Then, as in right angle triangles, the square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B Е 2 +Л E 2 = AB 2 : but as BE,...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 29

Perry Fairfax Nursey - Industrial arts - 1838 - 510 pages
...К is the other leg, and AB, is the third side, or hypothenuse. Then, as in right angle triangles, the square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, В Е=+Л E-' = A ß2: but as BE,...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...and a very simple formula depending upon the well known property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, a formula expressing the value of the sine of half an arc in terms...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. L) If the legs be given, extracting the square root...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...base, is yj rods 7 6SY.l9,5=*W7,5i.==5i, IT. 37J rod.. ART. 2. — In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. 1. Hence, when the legs are given, to find the hypothenuse. RULE. Add...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...by either of the four last cases : or, if two of the sides are given, by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Or the parts may be found by Theorem V. EXAMPLES. 1. In a right-angled...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...R2=cos xsec. 94. Other relations of the sine, tangent, &c., may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHF,...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...by either of the four last cases : or, if two of the sides are given, by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Or the parts may be found by Theorem V. EXAMPLES. l. In a right-angled...
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The Works of George Campbell: Philosophy of rhetoric

George Campbell - Theology - 1840 - 450 pages
...instance, of the first kind, the following affirmations, " The cube of two is the half of sixteen." — " The square of the hypothenuse is equal to the sum of the squares of the sides." — " if equal' things be taken from equal things, the remainders will be equal."...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...area, yz is = to 2x, or у = — , and the hypothenuse of the triz 2a; angle is expressed by a z. But the square of the hypothenuse is equal to the sum of the squares of the two sides ; .•. (2x \2 4z8 4яа; а zl=— 5- — z", or о2 2<zz = — 4ах. Mulüz...
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