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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 25

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[[stamped number]]15370?5or3?[[/stamped number]] - Azimuth Screw Transit Instrument [[page#]]21[[/page#]] E 0 = mean error of given interval ; t = single interval ; P = weight [[8 columns listed in reading order]] [[columns1,2,3,4]] =========================================== || Interval | [[?hr?]] | Diff. | delta delta | ---------------|---------|-------------------|-----------------|- || D1 - D2 | 1 | 19.28 | 15.9404 | || D2 - D3 | 1 | 18.38 | 25.5904 | || D3 - D4 | 1 | 19.43 | 22.5544 | || D4 - D5 | 1 | 19.11 | 39.0096 | || | | | | || D5 - E1 | 2 | 35.78 | 38.9104 | || C5 - D1 | 2 | 36.91 | 21.2976 | || E1 - E3 | 2 | 39.01 | 39.8971 | || E3 - E5 | 2 | 37.14 | 33.6096 | || C1 - C3 | 2 | 37.11 | 16.6896 | || C3 - C5 | 2 | 37.99 | 14.4476 | || | | | | || E5 - F | 4 | 74.07 | 11.4104 | || B - C1 | 4 | 75.38 | 18.6104 | || | | | | || F - A | 6 | 113.40 | 22.3600 | || A - B | 6 | 112.80 | 16.1000 | || B - C3 | 6 | 112.54 | 9.9796 | || F - E3 | 6 | 111.30 | 25.3600 | || | | | | || D3 - B | 12 | 225.1 | 24.6600 | || C?3? - A | 12 | 225.47 | 17.8704 | ||--------------|--------|-------------------|-----------------|--- || | | | | ||--------------|--------|-------------------|-----------------|--- [[columns5,6,7,8]] ========================================= E 0 | t | [[sqrt]]P | ([[sqrt]]P)(t) || -----------|-----------------|---------------|-----------------------|| .133 | 19.28 | 7.7 | 148.46 || .169 | 18.38 | 6.0 | 110.28 || .158 | 19.43 | 6.3 | 122.41 || .208 | 19.11 | 4.8 | 91.73 || | | | || .208 | 17.89 | 6.7 | 119.86 || .153 | 18.45 | 9.3 | 171.58 || .211 | 19.50 | 6.7 | 130.65 || .193 | 18.57 | 7.3 | 135.56 || .136 | 18.56 | 10.0 | 185.60 || .127 | 18.99 | 10.8 | 205.09 || | | | || .113 | 18.52 | 18.2 | 337.06 || .144 | 18.84 | 14.2 | 267.53 || | | | || .158 | 18.90 | 15.4 | 291.06 || .133 | 18.80 | 18.9 | 355.32 || .165 | 18.76 | 24.0 | 450.24 || .168 | 18.55 | 14.0 | 259.70 || | | | || .165 | 18.76 | 21.5 | 403.34 || .141 | 18.79 | 24.8 | 465.99 || -----------|-----------------|---------------|-----------------------|| | | 226.6 | 4251.46 || -----------|-----------------|---------------|-----------------------|| X 0 = weighted mean = [([[sqrt]]P)(t)]/[[[sqrt]]P] = 18.17 [[stamp]] The State UNIVERSITY OF IOWA Library [[/stamp]]
 
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