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 45
This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given . By Calculation . As sine of the angle C 33 PLANE TRIGONOMETRY . 45.
This 98 may express so many feet , or yards , & c . , and the other sides will be of the same denomination as the given . By Calculation . As sine of the angle C 33 PLANE TRIGONOMETRY . 45.
Página 74
Wishing to know the height of a steeple situated on a horizontal plane , I measured 100 feet in a right line from its base , and then took the angle of elevation * of the top , which I found to be 47 ° 30 ' , the centre of the quadrant ...
Wishing to know the height of a steeple situated on a horizontal plane , I measured 100 feet in a right line from its base , and then took the angle of elevation * of the top , which I found to be 47 ° 30 ' , the centre of the quadrant ...
Página 75
In the right - angled triangle DEC , we have the angle CDE = 47 ° 30 ' and the base DE = AB = 100 feet to find CE = 109.13 feet ; to CE add EB = DA = 5 feet the height of the quadrant , and it will give BC = 114.13 feet , the required ...
In the right - angled triangle DEC , we have the angle CDE = 47 ° 30 ' and the base DE = AB = 100 feet to find CE = 109.13 feet ; to CE add EB = DA = 5 feet the height of the quadrant , and it will give BC = 114.13 feet , the required ...
Página 76
2. In the triangle ABD are given the side AB = 40 , BD = 81.49 , and the angle ABD = 41 ° , to find AD = - EXAMPLE 11. Fig . 65 . Wanting to know the 57.63 feet , the height of the obelisk . 76 APPLICATION OF.
2. In the triangle ABD are given the side AB = 40 , BD = 81.49 , and the angle ABD = 41 ° , to find AD = - EXAMPLE 11. Fig . 65 . Wanting to know the 57.63 feet , the height of the obelisk . 76 APPLICATION OF.
Página 77
A May - pole whose height was 100 feet , standing on a horizontal plane , was broken by a blast of wind , and the extremity of the top part struck the ground at the distance of 34 feet from the bottom of the pole : required the length ...
A May - pole whose height was 100 feet , standing on a horizontal plane , was broken by a blast of wind , and the extremity of the top part struck the ground at the distance of 34 feet from the bottom of the pole : required the length ...
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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