DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 106

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 106

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.726900 , y = (1/3)y' , z = z' and cutting down the coefficients B and C to form places which may be done since y and z are both small.

     This gives a new series:-

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

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

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

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

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

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

(7) x' + 0.0795y' + [0.?]6483z' - 0.0001415 = 0 .

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

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

Each equation is now given its' proper "standing" or value by the introduction of the weight which is accomplished by dividing it by r' = (γ/(square root of n)) .

     The value of r' for each equation will be found on the blank used in, the formation of the condition equations

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[page][illegible][/page] .726900 , y = (1/3)y' , z = z' and cutting down the coefficients B and C to form places which may be done since y and z are both small. This gives a new series:- (1) x' + 0.0698y' + 0.6122z' - 0.0003737 = 0 . (2) x' + 0.4578y' + 0.9277z' - 0.0002272 = 0 . (3) x' + 0.1521y' + 0.8394z' - 0.0000569 = 0 . (4) x' + 0.1660y' + 0.8649z' - 0.0004402 = 0 . (5) x' + 0.0697y' + 0.6121z' - 0.0004129 = 0 . (6) x' + 0.4578y' + 0.9277z' - 0.0002320 = 0 . (7) x' + 0.0795y' + [0.?]6483z' - 0.0001415 = 0 . (8) x' + 0.3807y' + 0.9898z' - 0.0003376 = 0 . (9) x' + 0.1521y' + 0.8393z' - 0.0000831 = 0 . Each equation is now given its' proper "standing" or value by the introduction of the weight which is accomplished by dividing it by r' = (γ/(square root of n)) . The value of r' for each equation will be found on the blank used in, the formation of the condition equations