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 (1874)
Chauvenet, William, 1820-1870 · Philadelphia, J. B. Lippincott Company · leaf 579
the curve of illumination, as seen from the earth, projected upon the celestial sphere. It represents an ellipse whose centre is at the origin but whose axes are, in general, inclined to the axes of co-ordinates, and, consequently, to the axes of the ellipse of equation (611). The equation (611) is… … curve, and these halves either begin or end at the points C and C", which are the common points of tangency of the two curves. These points satisfy both equations; and, therefore, putting uv and I-! for the co-ordinates of either point, and subtracting (611) from (616), we find / cos w \2 , „ Tr •…
Spherical astronomy · Astronomical instruments · Least squares
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