A Treatise on Plane and Spherical Trigonometry: And Its Applications to Astronomy and Geodesy with Numerous ExamplesD.C. Heath & Company, 1892 - 368 páginas |
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Página 340
... declination . The right ascen- sion and declination of celestial bodies are given in nautical almanacs . III . The ecliptic and the circle of latitude through the vernal equinox . The latitude of a star is its angular distance from the ...
... declination . The right ascen- sion and declination of celestial bodies are given in nautical almanacs . III . The ecliptic and the circle of latitude through the vernal equinox . The latitude of a star is its angular distance from the ...
Página 341
... declination ZPS or QK = hour angle PS = north polar distance " = HT azimuth altitude TS of the body = α , 66 66 66 = 8 , 66 66 66 = t , 66 66 = P , 35 35 66 = α , 66 པ 66 = = h , 66 66 66 = % , = = & . ZS zenith distance QZ = PR ...
... declination ZPS or QK = hour angle PS = north polar distance " = HT azimuth altitude TS of the body = α , 66 66 66 = 8 , 66 66 66 = t , 66 66 = P , 35 35 66 = α , 66 པ 66 = = h , 66 66 66 = % , = = & . ZS zenith distance QZ = PR ...
Página 342
... declination being supposed con- stant ) ; then the body S will appear to rise at A ( if we sup- pose the Eastern hemisphere is represented in the diagram ) . It will be at B at 6 o'clock in the morning , at M at noon , at M ' at ...
... declination being supposed con- stant ) ; then the body S will appear to rise at A ( if we sup- pose the Eastern hemisphere is represented in the diagram ) . It will be at B at 6 o'clock in the morning , at M at noon , at M ' at ...
Página 343
... declination being 19 ° 57 ' N. Ans . 7h 12m 46.3 ; N. 63 ° 15 ' 11 " E. ( 3 ) Given the latitude of the observer and the hour angle and declination of a star ; to find its azimuth and altitude . Here we have given , in the triangle ZPS ...
... declination being 19 ° 57 ' N. Ans . 7h 12m 46.3 ; N. 63 ° 15 ' 11 " E. ( 3 ) Given the latitude of the observer and the hour angle and declination of a star ; to find its azimuth and altitude . Here we have given , in the triangle ZPS ...
Página 344
... declinations of two stars ; to find the distance between them . Let P be the pole , S and S ' the two stars . Let a and a ' be the right ascensions of the stars ; 8 and 8 ' their declinations ... declination of 344 SPHERICAL TRIGONOMETRY .
... declinations of two stars ; to find the distance between them . Let P be the pole , S and S ' the two stars . Let a and a ' be the right ascensions of the stars ; 8 and 8 ' their declinations ... declination of 344 SPHERICAL TRIGONOMETRY .
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Otras ediciones - Ver todas
A Treatise on Plane and Spherical Trigonometry: And Its Applications to ... Edward Albert Bowser Sin vista previa disponible - 2013 |
Términos y frases comunes
algebraically angle AOP angle of elevation base calculate centre circle circular measure common logarithms cos b cos cos² cosec cotangent decimal places denote diff equal equations EXAMPLES expression feet find log find the angle find the height find the number formulæ Given log Hence horizon hypotenuse integer log cot log sin log sine mantissa Multiply negative number whose logarithm observed obtained opposite perpendicular plane polar triangle positive Prove the following quadrant R₁ r₂ radian radius right angles right triangle sec² secant sides Similarly sin a cos sin B sin sin x sin² sin³ sines and cosines sinx siny solution Solve spherical triangle subtends table of logarithms table of natural tan² tangent triangle ABC trigonometric functions vertical yards ОР
Pasajes populares
Página 148 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 147 - Law of Sines. — In any triangle the sides are proportional to the sines of the opposite angles.
Página 278 - AB'C, we have by (4) cos a' — cos b cos c' + sin b sin c' cos B'AC, or cos(тг— a) = cos b cos(тг— c) + sin b sin(тт — C)COS(тг —A). .-. cos a = cos b cos с + sin b sin с cos A.
Página 278 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Página 278 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 6 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Página 17 - If the cosine of A be subtracted from unity, the remainder is called the versed sine of A. If the sine of A be...
Página 89 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 149 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.