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" KCML, the sum of the two parallelograms or square BCMH ; therefore the sum of the squares on AB and AC is equal to the square on EC. QED Cor. 1; The hypothenuse of a right-angled triangle may be found by... "
Elements of Geometry and Trigonometry: With an Easy and Concise System of ... - Page 15
by James Hale - 1829 - 115 pages
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...the hypothenuse of a right-angled triangle may be found by having the legs ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. Having the hypothenuse and one leg given to find the other ; the square root of the difference...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pages
...the hypothenuse of a rightangled triangle may be found by having the legs ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cjor. 2. Having the hypothenuse and one leg given to find the other ; the square root of the difference...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1811 - 580 pages
...is equal to the square on BC. 2. ED Cor. 1. Hence the hypothenuse of a right-angled triangle may Its found by having the sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1814 - 558 pages
...squares on AB and AC is equal to tiie square on BC. QED Cor. 1. Hence the hypothenuse of a right-angled triangle may be found by having the sides ; thus, the square root of the sum of the squares of the base and perpendicular,willbe the hypothenuse. Cor. 2. Having the hypothenuse and...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1818 - 502 pages
...the hypothenuse of a right-angled triangle may be found by having the legs ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one leg given to find the other ; the square root of the difference...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1821 - 594 pages
...squares on A Band AC is equal to the square on BC. QE D* Cor. 1. Hence the hypothenuse of a right-angled triangle may be found by having the sides ; thus, the square root of the sum of the squares of the base andperpendiculariwillbe the hypothenuse. Cor. 2. Having the hypothenuse and...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1832 - 290 pages
...hypothenuse of a right-angled triangle may be found by having the sides : thus, the square root of the sum of the squares of the base and perpendicular will be the hypothenuse. * For different demonstrations of this excellent theorem, the reader may consult Leslie's Geometry...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...hypothenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse, and the square root of the difference of the square of the hypothenuse, and either of the other sides,...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1841 - 324 pages
...weight ? PROB. VII. The base and perpendicular given, to find the hypothenuse. RULE. The square root of the sum of the squares of the base and perpendicular will be the hypothenuse. This rule is illustrated by the following figure. If the base of a right angled triangle be 9 feet,...
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A New System of Arithmetic on an Improved Plan

Charles Guilford Burnham - 1850 - 350 pages
...hypotenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the base and perpendicular, will be the hypotenuse, and the square root of the difference of the square of the hypotenuse, and either of the...
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