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
... as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other By Calculation . As sine of the angle C 33 sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
... as the sines of their opposite angles . * This 98 may express so many feet , or yards , & c . , and the other By Calculation . As sine of the angle C 33 sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
Página 74
... 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 being 5 feet above the ground : required the height of the steeple . * Angles of ...
... 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 being 5 feet above the ground : required the height of the steeple . * Angles of ...
Página 75
... 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 height of the steeple . = 3 EXAMPLE 8. Fig . 62 . Wishing to know the height of a tree situated in a bog ...
... 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 height of the steeple . = 3 EXAMPLE 8. Fig . 62 . Wishing to know the height of a tree situated in a bog ...
Página 76
... feet , and then took the angle ABD = 41 ° ; going on in the same direction 60 feet farther to C , I took the angle ACD = 23 ° 45 ' : what was the height of the obelisk ? Calculation . 1. In the triangle BCD , we have given the angle BCD ...
... feet , and then took the angle ABD = 41 ° ; going on in the same direction 60 feet farther to C , I took the angle ACD = 23 ° 45 ' : what was the height of the obelisk ? Calculation . 1. In the triangle BCD , we have given the angle BCD ...
Página 77
... 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 Construction . Draw AB 34 , and perpendicular ...
... 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 Construction . Draw AB 34 , and perpendicular ...
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 Secant Co-sine Co-tang column cube root decimal DEMONSTRATION departure corresponding diff difference of latitude Dist 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 number given ratio given side John Gummere Lat Dep latitude and departure length logarithm M.
M. Sine measured meridian distance natural number off-sets parallel parallelogram perches perpendicular quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC square root station stationary line subtract survey tance Tang tangent tract of land trapezium trapezoid triangle ABC trigonometry