A Treatise on Practical Surveying: Which is Demonstrated from Its First Principles : Wherein Every Thing that is Useful and Curious in that Art, is Fully Considered and ExplainedF. Lucas, jun. and Cushing & Jewett, J. Robinson printer, 1822 - 326 σελίδες |
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Σελίδα 54
... secant , and CI its co - secant . fig . 8 . fir . 8 . D FXH 6 B F 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to the tangent of an arc , as the co- sine of it is to the sine . 3. The sine of an ...
... secant , and CI its co - secant . fig . 8 . fir . 8 . D FXH 6 B F 1. The co - sine of an arc is to the sine , as radius is to the tangent . 2. Radius is to the tangent of an arc , as the co- sine of it is to the sine . 3. The sine of an ...
Σελίδα 55
... secant . 7. The sine of an arc is to radius , as the tangent is to the secant . The triangles CLH and CBK , being similar , ( by theo . 16. ) 1. CL : LH :: CB : BK . 2. Or , CB : BK :: CL : LH . The triangles CFH and CDI , being similar ...
... secant . 7. The sine of an arc is to radius , as the tangent is to the secant . The triangles CLH and CBK , being similar , ( by theo . 16. ) 1. CL : LH :: CB : BK . 2. Or , CB : BK :: CL : LH . The triangles CFH and CDI , being similar ...
Σελίδα 86
... secant ; the column of minutes on the right hand of each page , answers to the degrees in the bottom of the page ; and the sines , tangents , and secants answering to those degrees and minutes , are in the columns , marked at the bottom ...
... secant ; the column of minutes on the right hand of each page , answers to the degrees in the bottom of the page ; and the sines , tangents , and secants answering to those degrees and minutes , are in the columns , marked at the bottom ...
Σελίδα 87
... secant being given , to find the arc belong- ing to it , is performed by only looking in the proper column , for the nearest logarithm to that proposed , and the degrees and minutes answering thereto , are those required . We will now ...
... secant being given , to find the arc belong- ing to it , is performed by only looking in the proper column , for the nearest logarithm to that proposed , and the degrees and minutes answering thereto , are those required . We will now ...
Σελίδα 89
... secant by the help of a co - sine ; which may be found of great use when a table of sines and tangents can only be had . From twice the radius , which is 20.00000 , take the co - sine , and the remainder will be the secant , ( by theo ...
... secant by the help of a co - sine ; which may be found of great use when a table of sines and tangents can only be had . From twice the radius , which is 20.00000 , take the co - sine , and the remainder will be the secant , ( by theo ...
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20 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-secant co-sine Co-tang column compass contained cyphers decimal decimal fraction difference Dist divided divisor draw east edge EXAMPLE feet field-book figures four-pole chains given angle half the sum height Hence hypothenuse inches instrument latitude length logarithm measure meridian distance multiplied needle number of degrees object off-sets opposite parallel parallelogram perpendicular piece of ground plane polygon Portmarnock PROB proportion protractor quotient radius right angles right line scale of equal SCHOLIUM secant second station sect semicircle side sights sine square root stationary distance stationary line sun's suppose survey taken tang tangent thence theo theodolite THEOREM thro triangle ABC trigonometry true amplitude true azimuth two-pole chains vane variation whence