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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... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 45
autor: Robert Gibson - 1806 - Liczba stron: 452
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1795 - Liczba stron: 319
...the Squares 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, ...

Robert Gibson - 1808 - Liczba stron: 440
...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 - 1811 - Liczba stron: 508
...of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other ; the square root of 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 - 1814 - Liczba stron: 508
...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 - 1818 - Liczba stron: 438
...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...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - Liczba stron: 478
...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 - 1821 - Liczba stron: 544
...squares of the base andperpendiculariwillbe the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other ; 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
...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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Elements of Geometry and Trigonometry: With an Easy and Concise System of ...

James Hale - 1829 - Liczba stron: 115
...Squares, of the Base and Perpendicular, will be the Hypothenuse. — Having the Hypothenuse, and one Side, given to find the other ; The Square Root, of the difference of the Squares, of the Hypothenuse and the given Side, will be the required Side. REMARK IV. Triangles, having the same height, and standing...
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Mercantile Arith

Michael Walsh - 1831
...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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