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 páginas |
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Página 89
... tang . of 29 ° 50 ′ req . 4. To find the 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 ... co-tangent and co-sine of any ...
... tang . of 29 ° 50 ′ req . 4. To find the 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 ... co-tangent and co-sine of any ...
Página 301
... Co. tang of A = s ; Co. tang of B - r , and the perpendicular af = x ; then as 1 :: 8 : sx = Aƒ ; and as 1 : x :: r : rx = Bd ; therefore , fd or its equal ab is - a - sx + rx and AB ÷ 1⁄2 ab - a - 18x + 1 rx put n = s — r ; and R for ...
... Co. tang of A = s ; Co. tang of B - r , and the perpendicular af = x ; then as 1 :: 8 : sx = Aƒ ; and as 1 : x :: r : rx = Bd ; therefore , fd or its equal ab is - a - sx + rx and AB ÷ 1⁄2 ab - a - 18x + 1 rx put n = s — r ; and R for ...
Página 302
... Co. tang .-- 1.471630 C = 138 ° 00 ′ its Co. tang . = - 1.110606 therefore , n = -638976 R = 50 , and 2 R = 1000 2n R - 638.976 a = 42 and a2 = 1764.000 2 n R + a2 = 2402.976 14 a2 + 2nK = a b = 49.02015 a2 + 2nR2 - a = x = 109865 n As ...
... Co. tang .-- 1.471630 C = 138 ° 00 ′ its Co. tang . = - 1.110606 therefore , n = -638976 R = 50 , and 2 R = 1000 2n R - 638.976 a = 42 and a2 = 1764.000 2 n R + a2 = 2402.976 14 a2 + 2nK = a b = 49.02015 a2 + 2nR2 - a = x = 109865 n As ...
Página 303
... Co. tang . = . 07431 angle C is 138 ° 00 ′ Co · tang . = —1.11061 therefore n = -1.18492 a = 39.20 ; and a2 + 2n R = ab = 58.582 hence a2 + 2n n 1/2 -a - x is found = 16.36 hence Cc - 24.45 and Bb = 16.40 . EXAMPLE . IV . d E D B To ...
... Co. tang . = . 07431 angle C is 138 ° 00 ′ Co · tang . = —1.11061 therefore n = -1.18492 a = 39.20 ; and a2 + 2n R = ab = 58.582 hence a2 + 2n n 1/2 -a - x is found = 16.36 hence Cc - 24.45 and Bb = 16.40 . EXAMPLE . IV . d E D B To ...
Página 304
... Co. tang . 2 D = .47163 Co. tang . 2 A = .50952 and n .98115 2R = 2400 2nR2354.76 a2 = 6552.0769 a2 - 2nR2-65.018 a - a2 - 2nR 12 / n = x = 16,42 As S. 4 D : x :: Rad .: Db = 18.15 As S. A : x :: Rad .: Aa = 18.43 If it were required to ...
... Co. tang . 2 D = .47163 Co. tang . 2 A = .50952 and n .98115 2R = 2400 2nR2354.76 a2 = 6552.0769 a2 - 2nR2-65.018 a - a2 - 2nR 12 / n = x = 16,42 As S. 4 D : x :: Rad .: Db = 18.15 As S. A : x :: Rad .: Aa = 18.43 If it were required to ...
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Términos y frases comunes
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