## An Elementary Treatise Upon the Method of Least Squares: With Numerical Examples of Its Applications |

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abscissa accidental errors accuracy adopted values affected angle application approximate values assigned coefficients computation constant corrections corresponding derived determine the values distribution of residuals equa equations of condition equivalent error curve exactly satisfied formula furnish Gauss Gauss's law given series judgment law of error least squares Let the student limits logarithms magnetic declination manner measure of precision method of least minimum multiplied normal equations number of observations number of residuals number of unknown numerical values observed quantities observed values obtained by substituting parallax plotted preceding section principle of least probable error probable values problem quantities whose values relation represented rigorous conditions series of observations series of residuals set of values small number solution systematic errors three unknown quantities transformed Transit of Venus true values value of h values of x vations velocity weighted means whole number xydx