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 31
At a given point B , in a given right line LG , to make an angle equal to a given angle A , Fig . 23 . ... To describe a triangle that shall have its sides respectively equal to three right lines D , E and F , of which any two must be ...
At a given point B , in a given right line LG , to make an angle equal to a given angle A , Fig . 23 . ... To describe a triangle that shall have its sides respectively equal to three right lines D , E and F , of which any two must be ...
Página 44
This mark ' placed on the sides or in the angles of a triangle , indicates that they are given ; and this mark placed in the same ... Is to the sine of the angle opposite the required side , So is the given side , To the required side .
This mark ' placed on the sides or in the angles of a triangle , indicates that they are given ; and this mark placed in the same ... Is to the sine of the angle opposite the required side , So is the given side , To the required side .
Página 45
In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33 ° 21 ' , and the side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 .
In the triangle ABC , there are given the angle A = 32 ° 15 ' , the angle B = 114 ° 24 ' , and consequently the angle C = 33 ° 21 ' , and the side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 .
Página 46
Extend the compasses from 33 ° 21 ' to 32 ° 15 ' on the line of sines ; that extent will reach , on the line of num . bers , from 98 to 95 , the side BC . 2. In the right angled triangle ABC , are given the hypothenuse AC = 480 ...
Extend the compasses from 33 ° 21 ' to 32 ° 15 ' on the line of sines ; that extent will reach , on the line of num . bers , from 98 to 95 , the side BC . 2. In the right angled triangle ABC , are given the hypothenuse AC = 480 ...
Página 48
In the triangle ABC , are given the angle A = 79 * 23 ' , the angle B -- 54 ° 22 ' , and the side BC = 125 ; required AC and AB . Ans . AC = 103.4 , and AB = 91.87 . 4. In a right - angled triangle , there are given the angle A = 56 ...
In the triangle ABC , are given the angle A = 79 * 23 ' , the angle B -- 54 ° 22 ' , and the side BC = 125 ; required AC and AB . Ans . AC = 103.4 , and AB = 91.87 . 4. In a right - angled triangle , there are given the angle A = 56 ...
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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