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 29
... meeting the first arc in C and D ; from C to D draw the right line CD , cutting AB in E , which will be equally distant from A and B. PROBLEM II . At a given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . tances ...
... meeting the first arc in C and D ; from C to D draw the right line CD , cutting AB in E , which will be equally distant from A and B. PROBLEM II . At a given point A , in a right line EF , to erect a per- pendicular , Fig . 19 . tances ...
Página 37
... meeting CD in 10 , 20 , 30 , & c . and CD will be a line of sines . From the centre C , through the divisions of the arc BD , draw lines meeting BE , in 10 , 20 , 30 , & c . and BE will be a line of tangents . With one foot of the ...
... meeting CD in 10 , 20 , 30 , & c . and CD will be a line of sines . From the centre C , through the divisions of the arc BD , draw lines meeting BE , in 10 , 20 , 30 , & c . and BE will be a line of tangents . With one foot of the ...
Página 53
... meeting AB produced in E and F , and BC in D ; join DA , EC , and FC , and draw FG parellel to BC , meeting EC produced , in G. The angle EAC ( 32.1 . ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the ...
... meeting AB produced in E and F , and BC in D ; join DA , EC , and FC , and draw FG parellel to BC , meeting EC produced , in G. The angle EAC ( 32.1 . ) is equal to the sum of the unknown angles ABC , ACB , and the angle EFC at the ...
Página 56
... 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 FB ( 3.3 ) , it is plain that AF is the ...
... 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 FB ( 3.3 ) , it is plain that AF is the ...
Página 62
... meeting AC produced in E ; then DE is the tangent , and AE the secant of the angle A , to the radius AD . But because of the similar triangles ADE , ABC , AD : DE :: AB : BC ; that is the tabular radius : tabular tangent :: AB : BC . Al ...
... meeting AC produced in E ; then DE is the tangent , and AE the secant of the angle A , to the radius AD . But because of the similar triangles ADE , ABC , AD : DE :: AB : BC ; that is the tabular radius : tabular tangent :: AB : BC . Al ...
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