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 |
Dentro del libro
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Página 94
... area of a triangular tract of land , whose three sides are 49.00 , 50.25 and 25.69 chains . 49.00 50.25 25.69 Sum ... given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area ...
... area of a triangular tract of land , whose three sides are 49.00 , 50.25 and 25.69 chains . 49.00 50.25 25.69 Sum ... given . RULE . Multiply the sum of the perpendiculars by the diago- nal , and half the product will be the area ...
Página 95
... given , the trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a ...
... given , the trapezium will be divided into two trian- gles , the area of each of which may be found by the last problem . The sum of these areas will be the area of the trapezium . EXAMPLES . 1. In a field ABCD in the form of a ...
Página 96
... area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . 1 Note . When three of the angles are given the fourth may be found by subtracting their sum from 360 ...
... area ? Ans . 24A . 3R . 14P . PROBLEM VII . To find the area of a trapezium , when all the angles and two opposite sides are given . 1 Note . When three of the angles are given the fourth may be found by subtracting their sum from 360 ...
Página 99
... area of a trapezium when three sides and the two included angles are given . As radius , RULE . Is to the sine of one of the given angles ; So is the rectangle of the sides including this angle , To a certain quantity . As radius ...
... area of a trapezium when three sides and the two included angles are given . As radius , RULE . Is to the sine of one of the given angles ; So is the rectangle of the sides including this angle , To a certain quantity . As radius ...
Página 101
... area ? Ans . 21A . 3R . 2P . Note . As in triangles any three parts , except the three angles , being given , the area may be found , so in trape- ziums , unless two sides are parallel , any five parts except the four angles and one ...
... area ? Ans . 21A . 3R . 2P . Note . As in triangles any three parts , except the three angles , being given , the area may be found , so in trape- ziums , unless two sides are parallel , any five parts except the four angles and one ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees 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 ratio given side John Gummere Lat Dep latitude and departure length logarithm measured meridian distance natural number off-sets parallel parallelogram perches perpendicular perpendicular BC quired quotient radius rectangle remainder Required the area right angle right line right-angled triangle RULE semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry