A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares: Spherical astronomy
... PS 90 ° - B PS 90 ° = - B β = BL = 90 ° + L — п SPP1 SP , P 180 ° - = --- L , B , = 180 ° — - ( 90 ° ) 90 ° ( λ — 11 — ↓ 1 ) so that , by the fundamental equations of Sph . Trig . , cos ẞ cos ( — I ) - cos ẞ sin ( 11 — ↓ 1 ) sin B ...
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A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares: Spherical astronomy
... PS 90 ° - B PS 90 ° = - B β = BL = 90 ° + L — п SPP1 SP , P 180 ° - = --- L , B , = 180 ° — - ( 90 ° ) 90 ° ( λ — 11 — ↓ 1 ) so that , by the fundamental equations of Sph . Trig . , cos ẞ cos ( — I ) - cos ẞ sin ( 11 — ↓ 1 ) sin B ...
A Manual of Spherical and Practical Astronomy: Embracing the General Problems of Spherical Astronomy, the Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments, with an Appendix on the Method of Least Squares
... PS = 90 ° — 6 , PS ' = 90 ° - ò ' , and the angle SPS ' = λ , from which we find the third side SS ' B , and the angle P , by the formulæ [ A of Art . 10 ] PS'S cos B = sin B cos P sin ' sin cos o ' sin o + cos d ' cos & cos sin d ' cos ...
A Manual of Spherical and Practical Astronomy, Embracing the General Problems of Spherical Astronomy: The Special Applications to Nautical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments
... PS - 90 ° -6 , PS ' 90 ° -o ' , and the angle SPS ' = λ , from which we find the third side SS ' B , and the angle PS'S P , by the formulæ [ A of Art . 10 ] - = - cos B sin B cos P sin ' sin cos ' sin d cos d ' cos & cos sin d'cos cos ...
A Manual of Spherical and Astronomy: Embracing the General Problems of Spherical Astronomy, and the Theory and Use of Fixed and Portable Astronomical Instruments. With an Appendix on the Method of Least Squares
... PS - 90 ° -6 , PS ' = 90 ° - 6 ' , and the angle SPS ' 2 , from which we find the third side SS ' B , and the angle PS'S P , by the formula [ of Art . 10 ] - = cos B = sin ' sin sin B cos P = cos o ' sin d sin B sin P cos o sin cos d ...
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... PS = 90 ° -8 , PS ' = 90 ° -d ' , and the angle SPS ' = 2 , from which we find the third side SS ' B , and the angle PS'S P , by the formulæ [ A of Art . 10 ] = cos B sin o'sin sin B cos P = cos d ' sin o sin B sin P = cos o sin λ = + ...
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A Manual of Spherical and Practical Astronomy: Spherical astronomy
... PS 90 ° - 6 , PS ' 90 ° - 6 ' , and the angle SPS ' PS = 90 ° : 90 ° -d ' , = 2 , from which we find the third side SS ' = B , and the angle PS'S P , by the formulæ [ A of Art . 10 ] cos B sin ' sin + cos d ' cos & cos sin B cos P = cos ...
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... A12 are the minors determined by properly chosen rows and columns of the matrix A called “Schur complements” such that ... A12S−122 A12 ]A−122 11 A11 = A11 , A22 = A22 S−111 B11 = B11 , B22 = B22 [ A11 ∈ Rm×m, A12 ∈ Rm×l A12 ∈ Rl×m ...
A Complete Set of Nautical Tables: Containing All that are Requisite, with the Nautical Almanac, in Keeping a Ship's Reckoning at Sea, and in Ascertaining the Latitude and Longitude by Celestial Observations; Including a New, Accurate, and Extensive Table of the Latitudes and Longitudes of the Principal Ports, Harbours, Capes, Etc. in the World, with Several Other New and Improved Tables. To which is Prefixed, a Copious Explanation of the Tables; Likewise Astronomical Problems for Finding the Latitude ... and the Longitude ...
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