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 32
... ABCD be the square required . PROBLEM X. To describe a circle that shall pass through the angular points A , B and C , of a triangle ABC , Fig . 27 . By problem 1 , bisect any two of the sides , as AC , BC , by the perpendiculars DE and ...
... ABCD be the square required . PROBLEM X. To describe a circle that shall pass through the angular points A , B and C , of a triangle ABC , Fig . 27 . By problem 1 , bisect any two of the sides , as AC , BC , by the perpendiculars DE and ...
Página 86
... ABCD ( Fig . 68 ) be a rectangle ; and let its length AB and CD , and its breadth AD and BC , be each divided in- to as many equal parts , as are expressed by the number of times they contain the lineal measuring unit ; and let all the ...
... ABCD ( Fig . 68 ) be a rectangle ; and let its length AB and CD , and its breadth AD and BC , be each divided in- to as many equal parts , as are expressed by the number of times they contain the lineal measuring unit ; and let all the ...
Página 95
... ABCD in the form of a trapezium , the ' diagonal AC measures 20.64 chains , the perpendicular BF 6.96 chains , and DE 5.92 chains : required the area . Fig . 70 . Ch . 6.96 5.92 12.88 20.64 5152 7728 2576 2 ) 265.8432 132.9216Ch . 13A ...
... ABCD in the form of a trapezium , the ' diagonal AC measures 20.64 chains , the perpendicular BF 6.96 chains , and DE 5.92 chains : required the area . Fig . 70 . Ch . 6.96 5.92 12.88 20.64 5152 7728 2576 2 ) 265.8432 132.9216Ch . 13A ...
Página 96
... ABCD , there are given the following bearings and distances , viz . AB , N. 24 ° E. dist . 6.90 Ch . BC , N. 64 ° 40 ... ABCD . Produce DA , CB , to meet in E ; then 2 ABCD : 2 EDC 2 EAB or ABCD — - 2 EDC - 2 EAB . Hence the truth 2 From ...
... ABCD , there are given the following bearings and distances , viz . AB , N. 24 ° E. dist . 6.90 Ch . BC , N. 64 ° 40 ... ABCD . Produce DA , CB , to meet in E ; then 2 ABCD : 2 EDC 2 EAB or ABCD — - 2 EDC - 2 EAB . Hence the truth 2 From ...
Página 97
... ABCD be the trapezium . * Calculation . The angle E = 180 ° the sum of the angles BCD , ADC23 ° 20 ' . * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29.1 . ) the angle ADC EAF ...
... ABCD be the trapezium . * Calculation . The angle E = 180 ° the sum of the angles BCD , ADC23 ° 20 ' . * DEMONSTRATION . By construction FC is parallel to AD and CD to AF , therefore ( 34.1 . ) CD = AF and ( 29.1 . ) the angle ADC EAF ...
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