DIY History | Transcribe | Scholarship at Iowa | Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895 | Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 31

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Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895

Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 31

[page]27[/page]

Let i = The equatorial interval for any thread.
     I = The [strikethrough]observed[/strikethrough] interval of a star whose declination is [?delta?]
     Then the formulas for all stars not within 10 degrees of the pole becomes
     [underlined]i[/underlined] = [underlined]I cos delta. (A)[/underlined]   [Chauvenet's Spherical and Practical Astronomy. Art.131. Vol 4]
n[underlined]sin i[/underlined] = [underlined]sin I cos delta[/underlined]. (B) for all stars within 10 degrees of the pole.
     In all of the following work formula (A) only has been used.
     The observed transits that have been used in this reduction cover a period of two years and are the best available at the present time.
     The work has not been limited to the observations of one person but to six.

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[page]27[/page] Let i = The equatorial interval for any thread. I = The [strikethrough]observed[/strikethrough] interval of a star whose declination is [?delta?] Then the formulas for all stars not within 10 degrees of the pole becomes [underlined]i[/underlined] = [underlined]I cos delta. (A)[/underlined] [Chauvenet's Spherical and Practical Astronomy. Art.131. Vol 4] n[underlined]sin i[/underlined] = [underlined]sin I cos delta[/underlined]. (B) for all stars within 10 degrees of the pole. In all of the following work formula (A) only has been used. The observed transits that have been used in this reduction cover a period of two years and are the best available at the present time. The work has not been limited to the observations of one person but to six.