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 of the arc AB or BD , Fig . 31 . 7. The 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 ...
... sine of the arc AB or BD , Fig . 31 . 7. The 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 ...
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 39
... sine , tan- gent , & c . to every degree and minute of the quadrant , the radius being 10000000000 , and consequently its lo- garithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and ...
... sine , tan- gent , & c . to every degree and minute of the quadrant , the radius being 10000000000 , and consequently its lo- garithm 10 . Let the radius CB , Fig . 32 , be supposed to consist of 10000000000 equal parts as above , and ...
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 42
... sine of 90 ° is equal to the tangent of 45 ° . From 45 it is numbered towards the left hand 50 , 60 , 70 , 80 , & c . The tangent of arcs above 45 ° are therefore counted backward on the line , and are fɔund at the same points of the ...
... sine of 90 ° is equal to the tangent of 45 ° . From 45 it is numbered towards the left hand 50 , 60 , 70 , 80 , & c . The tangent of arcs above 45 ° are therefore counted backward on the line , and are fɔund at the same points of the ...
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