DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 168

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 168

(51) x' + 0.0698y' + 0.6122z - 0.0003737 = 0

(52) x' + 0.4578y' + 0.9277z - 0.0002272 = 0.

(53) x' + 0.1521y' + 0.8394z - 0.0000569 = 0.

(54) 

(55) x' + 0.1660y' + 0.8649z - 0.0004402 = 0.

(56) x' + 0.0697y' + 0.6121z - 0.0004129 = 0.

(57) x' + 0.4578y' + 0.9277z - 0.0002320 = 0.

(58) x' + 0.0795y' + 0.6483z - 0.0001415 = 0.

(59) x' + 0.3807y' + 0.9898z - 0.0003376 = 0.

(60) x' + 0.1521y' + 0.8393z - 0.0000831 = 0.

Introducing the weights by dividing by [r'?] = ([r?]/(square root of [n?])) we get:--

(51) 0.83195x' + 0.05807y' + 0.50932z' - 0.0003109 = 0 .

(52) 0.86730x' + 0.39705y' + 0.80460z' - 0.0001970 = 0 .

(53) 0.63331x' + 0.09633y' + 0.53160z' - 0.0000360 = 0 .

(54) 

(55) 0.65833x' + 0.10926y' + 0.56939z' - 0.0002898 = 0 .

(56) 0.86730x' + 0.06045y' + 0.53087z' - 0.0003581 = 0 .

(57) 0.43478x' +  0.19905y' + 0.40335z' - 0.0001009 = 0 .

(58) 1.06725x' + 0.08484y' + 0.69189z' - 0.0001510 = 0 .

(59) 0.34141x' + 0.12997y' + 0.33793z' - 0.0001152 = 0 .

(60) 0.37300x' + 0.05673y' + 0.31305z' - 0.000031[0?] = 0 .

Saving...

(51) x' + 0.0698y' + 0.6122z - 0.0003737 = 0 (52) x' + 0.4578y' + 0.9277z - 0.0002272 = 0. (53) x' + 0.1521y' + 0.8394z - 0.0000569 = 0. (54) (55) x' + 0.1660y' + 0.8649z - 0.0004402 = 0. (56) x' + 0.0697y' + 0.6121z - 0.0004129 = 0. (57) x' + 0.4578y' + 0.9277z - 0.0002320 = 0. (58) x' + 0.0795y' + 0.6483z - 0.0001415 = 0. (59) x' + 0.3807y' + 0.9898z - 0.0003376 = 0. (60) x' + 0.1521y' + 0.8393z - 0.0000831 = 0. Introducing the weights by dividing by [r'?] = ([r?]/(square root of [n?])) we get:-- (51) 0.83195x' + 0.05807y' + 0.50932z' - 0.0003109 = 0 . (52) 0.86730x' + 0.39705y' + 0.80460z' - 0.0001970 = 0 . (53) 0.63331x' + 0.09633y' + 0.53160z' - 0.0000360 = 0 . (54) (55) 0.65833x' + 0.10926y' + 0.56939z' - 0.0002898 = 0 . (56) 0.86730x' + 0.06045y' + 0.53087z' - 0.0003581 = 0 . (57) 0.43478x' + 0.19905y' + 0.40335z' - 0.0001009 = 0 . (58) 1.06725x' + 0.08484y' + 0.69189z' - 0.0001510 = 0 . (59) 0.34141x' + 0.12997y' + 0.33793z' - 0.0001152 = 0 . (60) 0.37300x' + 0.05673y' + 0.31305z' - 0.000031[0?] = 0 .