DIY History | Transcribe | Scholarship at Iowa | 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 45

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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 45

Circle East.

[[page#]]40[[/page#]]

delta Scorpii.     [delta] = 22[[degrees]] 19' 14" 
[[first 3 of 6 columns in reading order:]]
|=======|========|========|=
|  Wire     |         I         |   log I        |
|------------|--------------|--------------|-
|              |  [?mark?]  |                   |
|    A        |  + 100.86   |  2.024736  |
|    B        | +   69.86  |  1.844229  |
|    C3      | +    34.86  |  1.542327  |
|    D3      | -     0.14  |  9.146128  |
|    E3      |  -   35.14  |  1.545802  |
|    F        |  -  70.14  |  1.845966  |
|    G        | -103.14  |  2.021769  |
|------------|-------------|---------------|-
[[last 3 of 6 columns in reading order:]]
==========|=========|=========|
log cos [delta] |  log i         |       i             |
-----------------|----------------|----------------|
                    |                    | [?mark?]    |
9.966176    |  1.990912   |  97.626      |
9.966176    |  1.810405   |  64.248      |
9.966176    |  1.508503   |  32.248      |
9.966176    |  9.112304   |    0.129      |
9.966176    |  1.511978   |  32.517      |
9.966176    |  1.812142   |  64.885      |
9.966176    |  1.987945   |  97.262      |
---------------|----------------|----------------|

theta Virginii.       [delta] = 4[[degrees]] 58' 15"
[[first 3 of 6 columns in reading order:]]
|=======|========|========|=
|              |  [?mark?]  |                   |
|    A        |  +  97.78  |   1.990250  |
|    B        |  +   65.28  |  1.814780  |
|    C3      |  +   32.78  |  1.515609  |
|    D3      | +     0.28  |  9.447158  |
|    E3      | -    32.72  |  1.514813  |
|    F        | -    65.22  |  1.814381  |
|    G        | -    98.22  |  1.992200  |
|------------|-------------|---------------|-
[[last 3 of 6 columns in reading order:]]
=========|=========|=========|
                   |                    | [?mark?]    |
9.998575    |  1.988825   |  97.460      |
9.998575    |  1.813355   |  65.096      |
9.998575    |  1.514184   |  32.673      |
9.998575    |  9.445733   | + 0.279      |
9.998575    |  1.513388   |  32.613      |
9.998575    |  1.812956   |  65.006      |
9.998575    |  1.990775   |  97.899      |
----------------|----------------|----------------|

a Ophiuchi.       [delta] = 12[[degrees]] 38' 4"
[[first 3 of 6 columns in reading order:]]
|=======|========|========|=
|              |  [?mark?]  |                   |
|    A        | +  100.19  |  2.000826  |
|    B        | +    66.89  |  1.825361  |
|    C3      | +    33.39  |  1.523616  |
|    D3      | -     0.01  |  8.000000  |
|    E3      | -    33.34  |  1.522575  |
|    F        | -    66.61  |  1.823539  |
|    G        | -     99.91 |  1.999609  |
|------------|--------------|--------------|-
[[last 3 of 6 columns in reading order:]]
=========|=========|=========|
                   |                    | [?mark?]    |
9.[?9]89354 |  1.990180   |  97.765      |
9.989354    |  1.814715   |  65.270      |
9.989354    |  1.512970   |  32.581      |
9.989354    |[?9].989354 | - 0.009      |
9.989354    |  1.511929   |  32.503      |
9.989354    |  1.812893   |  64.997      |
9.989354    |  1.988963   |  97.491      |
----------------|----------------|----------------|

Saving...

Circle East. [[page#]]40[[/page#]] delta Scorpii. [delta] = 22[[degrees]] 19' 14" [[first 3 of 6 columns in reading order:]] |=======|========|========|= | Wire | I | log I | |------------|--------------|--------------|- | | [?mark?] | | | A | + 100.86 | 2.024736 | | B | + 69.86 | 1.844229 | | C3 | + 34.86 | 1.542327 | | D3 | - 0.14 | 9.146128 | | E3 | - 35.14 | 1.545802 | | F | - 70.14 | 1.845966 | | G | -103.14 | 2.021769 | |------------|-------------|---------------|- [[last 3 of 6 columns in reading order:]] ==========|=========|=========| log cos [delta] | log i | i | -----------------|----------------|----------------| | | [?mark?] | 9.966176 | 1.990912 | 97.626 | 9.966176 | 1.810405 | 64.248 | 9.966176 | 1.508503 | 32.248 | 9.966176 | 9.112304 | 0.129 | 9.966176 | 1.511978 | 32.517 | 9.966176 | 1.812142 | 64.885 | 9.966176 | 1.987945 | 97.262 | ---------------|----------------|----------------| theta Virginii. [delta] = 4[[degrees]] 58' 15" [[first 3 of 6 columns in reading order:]] |=======|========|========|= | | [?mark?] | | | A | + 97.78 | 1.990250 | | B | + 65.28 | 1.814780 | | C3 | + 32.78 | 1.515609 | | D3 | + 0.28 | 9.447158 | | E3 | - 32.72 | 1.514813 | | F | - 65.22 | 1.814381 | | G | - 98.22 | 1.992200 | |------------|-------------|---------------|- [[last 3 of 6 columns in reading order:]] =========|=========|=========| | | [?mark?] | 9.998575 | 1.988825 | 97.460 | 9.998575 | 1.813355 | 65.096 | 9.998575 | 1.514184 | 32.673 | 9.998575 | 9.445733 | + 0.279 | 9.998575 | 1.513388 | 32.613 | 9.998575 | 1.812956 | 65.006 | 9.998575 | 1.990775 | 97.899 | ----------------|----------------|----------------| a Ophiuchi. [delta] = 12[[degrees]] 38' 4" [[first 3 of 6 columns in reading order:]] |=======|========|========|= | | [?mark?] | | | A | + 100.19 | 2.000826 | | B | + 66.89 | 1.825361 | | C3 | + 33.39 | 1.523616 | | D3 | - 0.01 | 8.000000 | | E3 | - 33.34 | 1.522575 | | F | - 66.61 | 1.823539 | | G | - 99.91 | 1.999609 | |------------|--------------|--------------|- [[last 3 of 6 columns in reading order:]] =========|=========|=========| | | [?mark?] | 9.[?9]89354 | 1.990180 | 97.765 | 9.989354 | 1.814715 | 65.270 | 9.989354 | 1.512970 | 32.581 | 9.989354 |[?9].989354 | - 0.009 | 9.989354 | 1.511929 | 32.503 | 9.989354 | 1.812893 | 64.997 | 9.989354 | 1.988963 | 97.491 | ----------------|----------------|----------------|