DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 172

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 172

The three [illegible] equations.

(1) 4.61455 x' + 0.82071 y' + 3.43949 z' - 0.00115 = 0

(2) 0.82071 x' + 0.25288 y' + 0.69512 z' - 0.00022 = 0

(3) 3.43949 x' + 0.69512 y' + 2.64902 z' - 0.00094 = 0

Solution of the [illegible] equations.

[table of 5 columns]
[column 1]
4.61455
0.664130
__________
[blank]
[blank]
[blank]
9.250059
[blank]
[blank]
[blank]
[blank]
9.872365
[blank]
[blank]
[blank]
9.892106
[blank]
[blank]
[blank]
7.595166

[column 2]
0.82071
9.914189
__________
0.25288
0.14596
__________
0.10692
[blank]
9.029060
__________
[blank]
[blank]
[blank]
[blank]
[blank]
[blank]
[blank]
[blank]
[blank]
[blank]

[column 3]
3.43949
0.536495
__________
0.69512
0.61172
__________
0.08340
[blank]
8.921166
__________
2.64902
2.56365
__________
0.08537
[blank]
0.06505
__________
0.02032
[blank]
8.307924

[column 4]
-0.00115
7.060698([n?])
__________
-0.00022
-0.00020
__________
-0.00002
[blank]
5.301030
__________
-0.00094
-0.00085
__________
-0.00009
[blank]
-0.00001
__________
-0.00008
[blank]
5.903090

[column 5]
8.87369
0.948104
__________
1.76848
1.57820
__________
0.19028
check 0.19030
9.279393
__________
6.78269
6.61407
__________
0.16862
check 0.16868
0.14842
__________
0.02020
check 0.02024
 - - 

_____________________
(1) x' + 0.17785 y' + 0.74534 z' - 0.00025 = 0 .

(2) y' + 0.78002 z' - 0.00019 = 0 .

(3) z - 0.00393 = 0 . 

x' = -0.00216
y' = -0.00287
z' = +0.00393
x = 0.726900 + x' = 0.72474
y = (1/3) y' = -0.00095
z = z' = +0.00393

Saving...

The three [illegible] equations. (1) 4.61455 x' + 0.82071 y' + 3.43949 z' - 0.00115 = 0 (2) 0.82071 x' + 0.25288 y' + 0.69512 z' - 0.00022 = 0 (3) 3.43949 x' + 0.69512 y' + 2.64902 z' - 0.00094 = 0 Solution of the [illegible] equations. [table of 5 columns] [column 1] 4.61455 0.664130 __________ [blank] [blank] [blank] 9.250059 [blank] [blank] [blank] [blank] 9.872365 [blank] [blank] [blank] 9.892106 [blank] [blank] [blank] 7.595166 [column 2] 0.82071 9.914189 __________ 0.25288 0.14596 __________ 0.10692 [blank] 9.029060 __________ [blank] [blank] [blank] [blank] [blank] [blank] [blank] [blank] [blank] [blank] [column 3] 3.43949 0.536495 __________ 0.69512 0.61172 __________ 0.08340 [blank] 8.921166 __________ 2.64902 2.56365 __________ 0.08537 [blank] 0.06505 __________ 0.02032 [blank] 8.307924 [column 4] -0.00115 7.060698([n?]) __________ -0.00022 -0.00020 __________ -0.00002 [blank] 5.301030 __________ -0.00094 -0.00085 __________ -0.00009 [blank] -0.00001 __________ -0.00008 [blank] 5.903090 [column 5] 8.87369 0.948104 __________ 1.76848 1.57820 __________ 0.19028 check 0.19030 9.279393 __________ 6.78269 6.61407 __________ 0.16862 check 0.16868 0.14842 __________ 0.02020 check 0.02024 - - _____________________ (1) x' + 0.17785 y' + 0.74534 z' - 0.00025 = 0 . (2) y' + 0.78002 z' - 0.00019 = 0 . (3) z - 0.00393 = 0 . x' = -0.00216 y' = -0.00287 z' = +0.00393 x = 0.726900 + x' = 0.72474 y = (1/3) y' = -0.00095 z = z' = +0.00393