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
Resultados 6-10 de 33
Página 55
... half sum of the angles ; that distance will reach from 45 ° on the same line , to 21 ° 17 ' , the half difference of the required angles . Whence the angles are obtained as before . To extend the second proportion , proceed as directed ...
... half sum of the angles ; that distance will reach from 45 ° on the same line , to 21 ° 17 ' , the half difference of the required angles . Whence the angles are obtained as before . To extend the second proportion , proceed as directed ...
Página 56
... half the base , add half the difference of would require two cases , and consequently would be less simple . 56 PLANE TRIGONOMETRY .
... half the base , add half the difference of would require two cases , and consequently would be less simple . 56 PLANE TRIGONOMETRY .
Página 57
... half the base , add half the difference of the seg- ments and the sum will be the greater segment ; also from half the base , subtract half the difference of the segments , and the remainder will be the less segment . Then , in each of ...
... half the base , add half the difference of the seg- ments and the sum will be the greater segment ; also from half the base , subtract half the difference of the segments , and the remainder will be the less segment . Then , in each of ...
Página 58
... Half diff . of the segments Half base 94.3 - 213 . Segment AD Segment BD As AC Is to AD · · So is sine of ADC . 307.3 118.7 $ 65 2.56229 - 307.3 2.48756 90 ° 10.00000 12.48756 To sine of ACD • - 57 ° 21 ' 9.92527 90 00 Angle A 32 39 As ...
... Half diff . of the segments Half base 94.3 - 213 . Segment AD Segment BD As AC Is to AD · · So is sine of ADC . 307.3 118.7 $ 65 2.56229 - 307.3 2.48756 90 ° 10.00000 12.48756 To sine of ACD • - 57 ° 21 ' 9.92527 90 00 Angle A 32 39 As ...
Página 59
... half sum and the side opposite the required angle . Then half the sum of these four logarithms , will be the logarithmic cosine of half the required angle . * * DEMONSTRATION . Let ABC , be a triangle of which the side AB , is greater ...
... half sum and the side opposite the required angle . Then half the sum of these four logarithms , will be the logarithmic cosine of half the required angle . * * DEMONSTRATION . Let ABC , be a triangle of which the side AB , is greater ...
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