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 91
... adjacent side S. 24 ° 15′E . dist . 17.34 chains . Ans . 14A . 2R . 8P . PROBLEM IV . To find the area of a triangle when one side and the two adjacent angles are given . RULE . Subtract the sum of the two given angles from 180 ° , the ...
... adjacent side S. 24 ° 15′E . dist . 17.34 chains . Ans . 14A . 2R . 8P . PROBLEM IV . To find the area of a triangle when one side and the two adjacent angles are given . RULE . Subtract the sum of the two given angles from 180 ° , the ...
Página 92
... adjacent angles are 63 ° and 74 ° ; required the area . Ans . 37A . OR . 22P . 3. What is the area of a triangular field , one side of which is 17.36 chains , and the adjacent angles 37 ° 30 ′ and 48 ° 15 ′ ? Ans . 6A . 3R . 18P ...
... adjacent angles are 63 ° and 74 ° ; required the area . Ans . 37A . OR . 22P . 3. What is the area of a triangular field , one side of which is 17.36 chains , and the adjacent angles 37 ° 30 ′ and 48 ° 15 ′ ? Ans . 6A . 3R . 18P ...
Página 96
... adjacent angles of a triangle , and find its double area by prob . 4. Proceed in the same manner with the other given side and its adjacent angles : Half the difference of the areas thus found will be the area of thestrapezium ...
... adjacent angles of a triangle , and find its double area by prob . 4. Proceed in the same manner with the other given side and its adjacent angles : Half the difference of the areas thus found will be the area of thestrapezium ...
Página 150
... . Being required to calculate the area of a field , the own- er of which refuses permission to go on it , I choose two all the angles of the field are visible . The stations , F and G , in the adjacent land , from whence 150 MEASURING LAND ...
... . Being required to calculate the area of a field , the own- er of which refuses permission to go on it , I choose two all the angles of the field are visible . The stations , F and G , in the adjacent land , from whence 150 MEASURING LAND ...
Página 156
... adjacent angle being given . RULE . For a triangle . As the rectangle of the given side and sine of the given angle ... angles and side , if required , may be found by For a parallelogram . As the rectangle of the given trig . case ...
... adjacent angle being given . RULE . For a triangle . As the rectangle of the given side and sine of the given angle ... angles and side , if required , may be found by For a parallelogram . As the rectangle of the given trig . case ...
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