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
Open the dividers to any distance more than half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD , meeting the first arc ...
Open the dividers to any distance more than half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD , meeting the first arc ...
Página 37
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 dividers in C transfer the distances from C to 10 , 20 , & c . in the ...
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 dividers in C transfer the distances from C to 10 , 20 , & c . in the ...
Página 53
45 , be the proposed triangle , having the two given sides AB , AC , including the given angle A. About A as a centre , with AC the greater of the given sides ,. distance , describe a circle meeting AB produced in E and F , and BC in D ...
45 , be the proposed triangle , having the two given sides AB , AC , including the given angle A. About A as a centre , with AC the greater of the given sides ,. distance , describe a circle meeting AB produced in E and F , and BC in D ...
Página 56
About Casa centre with the 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 ...
About Casa centre with the 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 ...
Página 62
Let AD represent the radius of the tables , and draw DE perpendicular to AD 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 ...
Let AD represent the radius of the tables , and draw DE perpendicular to AD 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 ...
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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 Co-sine Co-tang column decimal Deg Dist degrees DEMONSTRATION Dep Lat departure corresponding diff difference of latitude 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 Secant semiperimeter side AB side AC sine square root station stationary line subtract survey tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry ܟܬ