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 9
... Heights , Practical Questions , Measuring Land , Preliminary Definitions , Observations , & c . SECT . I. Containing rules for finding the areas of triangles , quadrilaterals , circles , and ellipses ; also the method of protracting a ...
... Heights , Practical Questions , Measuring Land , Preliminary Definitions , Observations , & c . SECT . I. Containing rules for finding the areas of triangles , quadrilaterals , circles , and ellipses ; also the method of protracting a ...
Página 68
... heights , will serve to render the student expert in solving the different cases , and also to elucidate its use . The Application of Plane Trigonometry to the mensuration of Distances and Heights . EXAMPLE 1. Fig . 54 . Being on one ...
... heights , will serve to render the student expert in solving the different cases , and also to elucidate its use . The Application of Plane Trigonometry to the mensuration of Distances and Heights . EXAMPLE 1. Fig . 54 . Being on one ...
Página 74
... 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 being 5 feet above ...
... 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 being 5 feet above ...
Página 75
... 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 , at a station D which appeared to be on a level with 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 , at a station D which appeared to be on a level with the ...
Página 76
... height of the tower . 3. In the right angled triangle DBC , we have the an- gle BDC = 67 ° 50 ' , and the side DC 230.4 , to find BC = 213.4 ; then BE BE = BC - CE = 213.4-106 = 107.4 yards , the height of the hill . EXAMPLE 10. Fig ...
... height of the tower . 3. In the right angled triangle DBC , we have the an- gle BDC = 67 ° 50 ' , and the side DC 230.4 , to find BC = 213.4 ; then BE BE = BC - CE = 213.4-106 = 107.4 yards , the height of the hill . EXAMPLE 10. Fig ...
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