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
... 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 , is that part of the diameter which is intercepted between the sine and the arc ...
... 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 , is that part of the diameter which is intercepted between the sine and the arc ...
Página 37
... sine , 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 ...
... sine , 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 ...
Página 40
... sine , tangent , & c . and against the minutes , is the sine , tangent , & c . required . If the degrees are more than 45 , look for them at the bottom of the table , and for the minutes , in the right hand column ; then in the co- lumn ...
... sine , tangent , & c . and against the minutes , is the sine , tangent , & c . required . If the degrees are more than 45 , look for them at the bottom of the table , and for the minutes , in the right hand column ; then in the co- lumn ...
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 ...
Página 157
... sine of the given angle , Is to the given area ; So is radius , To the other side adjacent to the given angle ... Co. 8.78915 - 0.06247 2.30103 10.00000 1.15265 * DEMONSTRATION . It is demonstrated , prob . 3 , sect . 1 , Measur ...
... sine of the given angle , Is to the given area ; So is radius , To the other side adjacent to the given angle ... Co. 8.78915 - 0.06247 2.30103 10.00000 1.15265 * DEMONSTRATION . It is demonstrated , prob . 3 , sect . 1 , Measur ...
Términos y frases comunes
ABCD ABFD acres adjacent adjacent angles angle ABC angle opposite angled triangle azimuth base bearing and distance breadth Calculation centre Co-secant Secant Co-sine Co-tang column decimal degrees 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 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 semiperimeter side AB side AC sine square root station stationary line subtract tance Tang Tangent tract of land trapezium trapezoid triangle ABC trigonometry