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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ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice