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" The hypothenuse of a right-angled triangle may be found by having the other two 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 and one side given to find the... "
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 - 1795 - 384 pages
...of the Bafe and Perpendicular, will be the Hypothenufe. Cor. 2. Having .the Hypothenufe and one Leg given to find the other ; the Square Root of the Difference of the Squares of the Hypothenufe and given Leg, will be the required Leg. r HE o. xv. In all Circles the Chord of 60 Degrees...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 486 pages
...Calculation. 1. AB : AC + BC : : AC— BC : AD— DB. 2.5 4.3 .3 .516 By cor. 2. theo. 14. sect. 1. The square root of the difference of the squares of the hypothenuse AC, and given leg AD, wtll give DC. ie 5.29—2.274064=3.015936. Its square root is 1.736=CD. • Then...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pages
...AC+BC : : AC— BC : AD— DB. 2.5 4.3 .3 .516. 1>25+.258=1.50S=AD. By cftr. 2. theo. 14. sett. 1. The square root of the difference of the squares of the hypothenuse AC, and given leg AD, will give DC. i. e* 5.29—2.274064=3.015936. Its square root is 1.736=CD. Then...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1811 - 580 pages
...square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find...the difference of the squares of the hypothenuse and given side, will be the required side. THEO. XV . PL. \.fig. 33. />; all circle* the chord of 60 dt'grtct...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1814 - 558 pages
...required. By Calculation. 1. AB : AC+BC- - AC—BC: AD—DB. 2.5 4.3 .3 .516. By cor. 2. theo. 14. geom. The square root of the difference of the- squares of the hypothenuse AC, and given leg AD, will give DC. That is, 5.29—2.274064=3.015936. « Its square root is 1.736=...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 488 pages
...square root of the sum of the squares of the other two sides ; and either of the sides is equal to the square root of the difference of the squares of the hypothenuse and the other side. Note, also, that if the half difference of any two quantities be added to their half sum,...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1818 - 502 pages
...i. AB : AC+BC : : AC— BC : AD— DB,=5l6, Then, 1.25+.258=1.508=AD. By cor. 2. theo. 14. sect. 1. The square root of the difference of the squares of the hypothenuse AC, and .given leg AD, will give DC,=1.736. Then, by the preceding lemma. 2. As CD : AC : : CB : the...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1821 - 594 pages
...square root of the sum of the squares of the base andperpendiculariwillbe the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find...; the square root of the difference of the squares ofthe hypothenuse and given side, will be the required side. * For different demonstrations of this...
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The young man's best companion, and book of general knowledge

L. Murray - 1821 - 620 pages
...scaling-ladder. 25 (0) Case 2. If the length of the base, or breadth of the ditch, were required ; then the square root of the difference of" the squares of the hypothenuse and perpendicular is the length of the base, or breadth of the ditch or moat. See the work. 2500 the square...
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Mercantile Arith

Michael Walsh - 1831 - 348 pages
...top of the wall. Ans. 39,05 feet. The hypolhenuse and perpendicular given, to find the base. RULE. The square root of the difference of the squares of the hypothenuse and perpendicular is the length of the base. The base and hypothenuse given, to find the perpendicular....
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