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A compendium of spherical astronomy with its applications to the determination and reduction of positions of the fixed stars (1906)

Newcomb, Simon, 1835-1909 · New York, The Macmillan company; London, Macmillan and co., ltd. · leaf 77

An illustration from A compendium of spherical astronomy with its applications to the determination and reduction of positions of the fixed stars, 1906, leaf 77
certain modulus of error, then the 56 THE METHOD OF LEAST SQUARES [§30. infinitesimal probability that the error shall lie between thelimits X and x + dx is assumed to be given by the formula: dp = -—i=e ^dx. ..(22) This formula may be graphically represented by the curveshewn in Fig. 2, in which,… … If we have an indefinitely great number of errors distributedin magnitude according to this law, we may represent each errorby measuring off its magnitude from the origin 0 to the rightor left, according as the error is positive or negative, and thenmarking it by a point. Since the ordinate at each…

Spherical astronomy · Stars

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