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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 on Practical Surveying: Which is Demonstrated from Its First ... - Página 50
por Robert Gibson - 1818 - 478 páginas
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 452 páginas
...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 - 440 páginas
...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 - 508 páginas
...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 - 508 páginas
...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 - 438 páginas
...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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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 - 115 páginas
...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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The Tutor's Assistant: Being a Compendium of Arithmetic and a Complete ...

Francis Walkingame - 1832 - 208 páginas
...perpendicular is the length of the base. The Bate and Hypothenate given tollnd the Perpendicular. KUI.E. The square root of the difference of the squares of the hypothenuse and base is the height of the perpendicular. NB The two last Quettiont may be varied for Examples to At...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834
...perpendicular add the square of the base, and the square root of the sum will give the hypothenuse. II. The square root of the difference of the squares of the hypothenuse and either side, will give the other. Or multiply the sum of the hypothenuse and either side, by their...
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