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 29
... given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . tances AC , AD ; from C and D , From the point A , lay off on each side , the equal dis- GEOMETRY . 29 Geometrical Problems,
... given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . tances AC , AD ; from C and D , From the point A , lay off on each side , the equal dis- GEOMETRY . 29 Geometrical Problems,
Página 44
... angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side ...
... angles and one side of any plane triangle being given , to find the other sides . RULE . As the sine of the angle opposite the given side , Is to the sine of the angle opposite the required side , So is the given side , To the required side ...
Página 45
... side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A ... sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
... side AB = 98 ; * required the sides AC and BC . By Construction , Fig . 41 . Make AB equal to 98 by a scale of equal parts , and draw AC , making the angle A ... sides will be of the same denomination as the given . PLANE TRIGONOMETRY . 45.
Página 48
... angle A ; that extent will reach , on the line of numbers , from 480 to 288 , the base AB . 3. In the triangle ABC , are given the angle A = 79 ° 23 ′ , the angle B 54 ° 22 ′ , and the side BC = 125 ; re- quired AC and AB . Ans . AC ...
... angle A ; that extent will reach , on the line of numbers , from 480 to 288 , the base AB . 3. In the triangle ABC , are given the angle A = 79 ° 23 ′ , the angle B 54 ° 22 ′ , and the side BC = 125 ; re- quired AC and AB . Ans . AC ...
Página 49
... given angle , and sub- tract their sum from 180 ° , the remainder will be the third angle . After finding the angles ... side , then the angle opposite that other given side is always acute ; but when this is not the case , that angle ...
... given angle , and sub- tract their sum from 180 ° , the remainder will be the third angle . After finding the angles ... side , then the angle opposite that other given side is always acute ; but when this is not the case , that angle ...
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