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
... terms , subtract the logarithm of the first term , and the remainder will be the logarithm of the fourth term . 2. The logarithmic sine of a right angle or 90 ° is 10.00000 , being the same as the logarithm of the radius . EXAMPLES . 1 ...
... terms , subtract the logarithm of the first term , and the remainder will be the logarithm of the fourth term . 2. The logarithmic sine of a right angle or 90 ° is 10.00000 , being the same as the logarithm of the radius . EXAMPLES . 1 ...
Página 154
... fourth term * . The square root of this fourth term will be the length required . Having the length , the breadth may be found by the preceding problem . Or it may be found in the same manner as the length . Thus As the greater ...
... fourth term * . The square root of this fourth term will be the length required . Having the length , the breadth may be found by the preceding problem . Or it may be found in the same manner as the length . Thus As the greater ...
Página 159
... fourth term . Divide this fourth term by the distance of the given point from the angular point of the two given sides ; the quotient will be the distance of the required point from the same angle * . * DEMONSTRATION . From the ...
... fourth term . Divide this fourth term by the distance of the given point from the angular point of the two given sides ; the quotient will be the distance of the required point from the same angle * . * DEMONSTRATION . From the ...
Página 164
... fourth term . To or from the square of GA , according as the sum of the given included angles EAB and ABF is greater or less than 180 ° , add or subtract this fourth term ; the square root of the sum or remainder will be the distance GD ...
... fourth term . To or from the square of GA , according as the sum of the given included angles EAB and ABF is greater or less than 180 ° , add or subtract this fourth term ; the square root of the sum or remainder will be the distance GD ...
Página 165
... 4 -- -- G 31 30 ABG 48 30 Ar . Co. 0.28191 - - 9.87446 1.17609 1.33246 2 1 GA2 462.3 As sin . Axsin . G , SA 100 ° 00 ′ : rad . X sin . B , G 31 30 SB 48 30 rad . { :: twice the given area 200 sq . ch . : a fourth term 291.105 sq ...
... 4 -- -- G 31 30 ABG 48 30 Ar . Co. 0.28191 - - 9.87446 1.17609 1.33246 2 1 GA2 462.3 As sin . Axsin . G , SA 100 ° 00 ′ : rad . X sin . B , G 31 30 SB 48 30 rad . { :: twice the given area 200 sq . ch . : a fourth term 291.105 sq ...
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