DIY History | Transcribe | Scholarship at Iowa | Eccentricity of the Sextant by Frederic Furbish, 1893 | Eccentricity of the Sextant by Frederic Furbish, 1893, Page 138

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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 138

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[table sideways]
[column 1]
No.
----------
1
2
3
4
5
6
7
8
9
10
11
12
[blank]
[blank]
[blank]

[column 2]
AM
LOG.
----------
1.91428
1.63041
1.30139
0.76527
9.62480
0.65147
1.27638
1.52270
1.71267
1.89236
2.02702
2.18316
Mean
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57° 3' 28.58"

[column 3]
AM
No.
----------
82.09"
42.70
20.01
5.82
0.42
4.48
18.89
33.32
51.60
78.04
106.42
152.46
49.68"
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+ 49.68

[column 4]
BN
LOG.
----------
8.37220
7.83880
7.15960
6.19300
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[blank]
7.15960
7.60530
7.99910
8.36710
8.63640
8.92970
Mean
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- 0.015"

[column 5]
BN
No.
----------
0.02
0.01
0.00
0.00
0.00
0.00
0.00
0.00
0.01
0.02
0.04
0.08
0.015
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=

[column 6]
h[subscript]0[/subscript] = h + Am - Bn
----------
57° 4' 21.07"
          34.14
          19.01
          24.82
           4.42
          18.48
           7.89
          17.32
          13.09
          27.02
          20.38
           11.38
57° 4' 18.25"
CHECK
57° 4' 18.25"

[column 7]
V
----------
+2.82
+15.94
+0.76
+6.57
-13.83
+0.23
-10.36
-0.93
-5.16
+8.77
+2.13
-6.87
74.37
[+v]
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[column 8]
PROBABLE ERROR, ETC..
----------
A = 9.562556 (n)
B = [4 or 9?].313930 (n)
{-37.15     n = 12 [μ?] = 1
{+37.[2?]2
r = +-0.845(74.37/(square root of 132)) = +-5.4688".
Prob. error of mean = 
     +- 1.579".
cos φ = 9.873307
cos δ = 9.424421
---------------------
9.297728 (+) cos φ cos δ .
9.735172 (n) sin(φ - δ)
------------------------
A = 9.562556 (n) log A .
9.125112 log A[superscript]2[/superscript]
0.188812 (n) cot(φ - δ)
------------------------
B = 9.313930 (n)
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STAR. β Ursae Minoris    DATE : May 2, '93.

[/table sideways]

Saving...

[faint pencil][([53 or 33?])?][/faint pencil] [table sideways] [column 1] No. ---------- 1 2 3 4 5 6 7 8 9 10 11 12 [blank] [blank] [blank] [column 2] AM LOG. ---------- 1.91428 1.63041 1.30139 0.76527 9.62480 0.65147 1.27638 1.52270 1.71267 1.89236 2.02702 2.18316 Mean [blank] 57° 3' 28.58" [column 3] AM No. ---------- 82.09" 42.70 20.01 5.82 0.42 4.48 18.89 33.32 51.60 78.04 106.42 152.46 49.68" [blank] + 49.68 [column 4] BN LOG. ---------- 8.37220 7.83880 7.15960 6.19300 [blank] [blank] 7.15960 7.60530 7.99910 8.36710 8.63640 8.92970 Mean [blank] - 0.015" [column 5] BN No. ---------- 0.02 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.02 0.04 0.08 0.015 [blank] = [column 6] h[subscript]0[/subscript] = h + Am - Bn ---------- 57° 4' 21.07" 34.14 19.01 24.82 4.42 18.48 7.89 17.32 13.09 27.02 20.38 11.38 57° 4' 18.25" CHECK 57° 4' 18.25" [column 7] V ---------- +2.82 +15.94 +0.76 +6.57 -13.83 +0.23 -10.36 -0.93 -5.16 +8.77 +2.13 -6.87 74.37 [+v] [blank] [column 8] PROBABLE ERROR, ETC.. ---------- A = 9.562556 (n) B = [4 or 9?].313930 (n) {-37.15 n = 12 [μ?] = 1 {+37.[2?]2 r = +-0.845(74.37/(square root of 132)) = +-5.4688". Prob. error of mean = +- 1.579". cos φ = 9.873307 cos δ = 9.424421 --------------------- 9.297728 (+) cos φ cos δ . 9.735172 (n) sin(φ - δ) ------------------------ A = 9.562556 (n) log A . 9.125112 log A[superscript]2[/superscript] 0.188812 (n) cot(φ - δ) ------------------------ B = 9.313930 (n) [blank] [blank] [blank] [blank] STAR. β Ursae Minoris DATE : May 2, '93. [/table sideways]