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 36
... cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre : thus CF is the cosine of the arc AB , and is equal to BI , the sine of its complement HB , Fig . 31 . 8. The versed sine of an arc ...
... cosine of an arc , is that part of the diameter which is intercepted between the sine and the centre : thus CF is the cosine of the arc AB , and is equal to BI , the sine of its complement HB , Fig . 31 . 8. The versed sine of an arc ...
Página 37
... cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . PROBLEM I. To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 . Describe a semicircle ...
... cosine , & c . of an angle is the same as the sine , cosine , & c . of the arc that measures the angle . PROBLEM I. To construct the lines of chords , sines , tangents , and secants , to any radius . Fig . 32 . Describe a semicircle ...
Página 59
... cosine of half the required angle . * * DEMONSTRATION . Let ABC , be a triangle of which the side AB , is greater than AC : make AD = AC , join DC , bisect it in E , and join AE ; draw EH parallel and equal to CB ; join HB and produce ...
... cosine of half the required angle . * * DEMONSTRATION . Let ABC , be a triangle of which the side AB , is greater than AC : make AD = AC , join DC , bisect it in E , and join AE ; draw EH parallel and equal to CB ; join HB and produce ...
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