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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ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice