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 54
... less given side . After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are given AB = 128 , AC 90 , and the angle A = 48 ° 12 ' , to find the angles B and C , and the side BC ...
... less given side . After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are given AB = 128 , AC 90 , and the angle A = 48 ° 12 ' , to find the angles B and C , and the side BC ...
Página 56
... less side BC for a radius , describe a circle , meeting AC produced , in G and E , and AB in F. Then it is evident that AE is equal to the sum of the sides AC , BC , and that AG is equal to their difference ; also because CD bi- sects ...
... less side BC for a radius , describe a circle , meeting AC produced , in G and E , and AB in F. Then it is evident that AE is equal to the sum of the sides AC , BC , and that AG is equal to their difference ; also because CD bi- sects ...
Página 57
... less segment . Then , in each of the two right angled triangles , there will be known two sides , and an angle opposite to one of them ; consequently the other angles may be found by Case 2d . EXAMPLES . 1. In the triangle ABC , are ...
... less segment . Then , in each of the two right angled triangles , there will be known two sides , and an angle opposite to one of them ; consequently the other angles may be found by Case 2d . EXAMPLES . 1. In the triangle ABC , are ...
Página 84
... less bear- * Note . This is not , except in a few cases , strictly true ; but the dif- ference is too small to be observed in practice . In the latitude of 40 ° the greatest difference between the bearing and the reverse bearing ing ...
... less bear- * Note . This is not , except in a few cases , strictly true ; but the dif- ference is too small to be observed in practice . In the latitude of 40 ° the greatest difference between the bearing and the reverse bearing ing ...
Página 85
... less bearing , and from the sum subtract the great- er ; the remainder will be the angle contained between them : thus if DC bear N. 87 ° E. and DA , S. 58 ° W . the angle ADC will be 151 ° . Fig . 67 . tis 205 SECTION I. Containing ...
... less bearing , and from the sum subtract the great- er ; the remainder will be the angle contained between them : thus if DC bear N. 87 ° E. and DA , S. 58 ° W . the angle ADC will be 151 ° . Fig . 67 . tis 205 SECTION I. Containing ...
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