A Treatise on Surveying,: Containing the Theory and Practice: : to which is Prefixed a Perspicuous System of Plane Trigonometry. : The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. : Particularly Adapted to the Use of SchoolsKimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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Página 39
... too abstruse to be explained in this work , but a familiar exposition of this subject as well as the construction of lo . garithms may be seen in Simpson's Trigonometry . To find , by the table , the sine , tangent , & c . of an arc ...
... too abstruse to be explained in this work , but a familiar exposition of this subject as well as the construction of lo . garithms may be seen in Simpson's Trigonometry . To find , by the table , the sine , tangent , & c . of an arc ...
Página 45
By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A = 32 ° 15 ' ; also make the angle B = 114 ° 24 ' and produce BC , AC , till they meet in C , then is ABC the triangle required ...
By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A = 32 ° 15 ' ; also make the angle B = 114 ° 24 ' and produce BC , AC , till they meet in C , then is ABC the triangle required ...
Página 47
From 90 ° subtract the angle A = 53 ° 8 ' ; the remainder 36 ° 52 ' will be the angle C. The angle B , being a right angle is 90 ° By Construction , Fig . 42 . This may be constructed as in the preceding example ; or otherwise thus ...
From 90 ° subtract the angle A = 53 ° 8 ' ; the remainder 36 ° 52 ' will be the angle C. The angle B , being a right angle is 90 ° By Construction , Fig . 42 . This may be constructed as in the preceding example ; or otherwise thus ...
Página 49
By Construction , Fig . 43 . Make BC = .7912 by a scale of equal parts , and draw CA , making the angle C = 33 ° 21 ' ; with the side AB = .98 , in the compasses , taken from the same scale of equal parts , and B as a centre , describe ...
By Construction , Fig . 43 . Make BC = .7912 by a scale of equal parts , and draw CA , making the angle C = 33 ° 21 ' ; with the side AB = .98 , in the compasses , taken from the same scale of equal parts , and B as a centre , describe ...
Página 51
By Construction , Fig . 44 . This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse .
By Construction , Fig . 44 . This is constructed in the same manner as the preceding example ; only AB , being shorter than BC , the arc ab cuts AC in two points on the same side of BC ; hence the angle A may be either acute or obtuse .
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Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle base bearing and distance breadth Calculation centre Co-secant Co-sine Co-tang column decimal Deg Dist degrees DEMONSTRATION Dep Lat departure corresponding diff difference of latitude divide division line draw equal EXAMPLES feet figures find the angle find the area four-pole chains fourth term given angle given area given bearing given ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular perpendicular BC quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE Secant semiperimeter side AB side AC sine square root station stationary line subtract survey tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry ܟܬ