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 31
In the lines AB and AC , from the point A , set off equal distances AD and AE ; with the centres D and E and any distance more than half DE , describe two arcs cutting each other in F ; from A through F draw the line AG , and it will ...
In the lines AB and AC , from the point A , set off equal distances AD and AE ; with the centres D and E and any distance more than half DE , describe two arcs cutting each other in F ; from A through F draw the line AG , and it will ...
Página 41
The subdivi . sions of the two parts of this line are likewise similar , each primary division being divided into ten parts , distinguished by lines of about half the length of the primary divisions . The primary divisions on the second ...
The subdivi . sions of the two parts of this line are likewise similar , each primary division being divided into ten parts , distinguished by lines of about half the length of the primary divisions . The primary divisions on the second ...
Página 53
As the sum of the two given sides , Is to their difference ; So is the tangent of half the sum of the two unknown angles , To the tangent ' of half their difference . * This half difference of the two unknown angles , added to their ...
As the sum of the two given sides , Is to their difference ; So is the tangent of half the sum of the two unknown angles , To the tangent ' of half their difference . * This half difference of the two unknown angles , added to their ...
Página 54
of the two given sides , and being subtracted from the half sum , will give the angle opposite the less given side . 1 1 After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are ...
of the two given sides , and being subtracted from the half sum , will give the angle opposite the less given side . 1 1 After finding the angles , the other side may be found by Case 1 . EXAMPLES . 1. In the triangle ABC , there are ...
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Términos y frases comunes
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