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 99
... ABFD , and join ED , CF ; then because EC , DF , are each parallel and equal to AB , they are ( 30.1 . ) , parallel and equal to each other , and ( 33.1 . ) ECFD is a parallelogram ; therefore ABFD = ABHG + GHFD = ( 35.1 . ) ABCE + ECFD ...
... ABFD , and join ED , CF ; then because EC , DF , are each parallel and equal to AB , they are ( 30.1 . ) , parallel and equal to each other , and ( 33.1 . ) ECFD is a parallelogram ; therefore ABFD = ABHG + GHFD = ( 35.1 . ) ABCE + ECFD ...
Página 100
... ABFD + ABCE - 2 ABCD + 2 EAD ; or ABFD + ABCE - 2 EAD = 2 ABCD . And , Fig . 73 , when the sum of the given angles DAB , ABC , ex- ceeds 180 ° , 2 ABCDE = 2 ABCD - 2EAD ; therefore ABFD + ABCE = 2 ABCD - 2 EAD ; or ABFD + ABCE + 2 ...
... ABFD + ABCE - 2 ABCD + 2 EAD ; or ABFD + ABCE - 2 EAD = 2 ABCD . And , Fig . 73 , when the sum of the given angles DAB , ABC , ex- ceeds 180 ° , 2 ABCDE = 2 ABCD - 2EAD ; therefore ABFD + ABCE = 2 ABCD - 2 EAD ; or ABFD + ABCE + 2 ...
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