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[[preprinted]] 14 [[/preprinted]]

[[underlined]] April 15, 1907 [[/underlined]]

Measures to determine position of variable
No. 3 and comparison stars Plate I 12021

[[Note: looks like she accidentally transposed x and y and then changed the columns to reflect. So the standard X Y designation order is crossed out and the reversed is noted. I am notating it as she changed it, but without the strikethrough's because it becomes impossible to read the chart.]]

    | y     |  x     |   y      |   x   | mean y | mean x | diff y | diff x | Diff y,x 163
var | +5.80 | +6.91  |var +5.81 | +6.90 | 5.81   | 6.90   |        |        |      "
a   | +2.81 | +7.81  |  a +2.79 | +7.90 | 2.80   | 7.86   | -3.01  |  +0.96  |-490.63 = -8.2
b   | +7.19 | +8.20  |  b +7.21 | +8.19 | 7.20   | 8.20   | +1.39  | +1.30  |+226.57 + 3.8
c   | +8.71 | +2.42  |  +8. [[strikethrough ]] 4 [[/strikethrough]]69 | +2.42 | 8.70   | 2.42   | +2.89  | -4.48  |[[strikethrough]]471.07[/[strikethrough]]
var | +5.71 | +6.91  |    +5.81 | +6.90 | [[strikethrough]] 5 [[/strikethrough]]
d   | +4.45 | +2.35  |    +4.49 | +2.31 | 4.47   | 2.33   | -1.34  | -4.57  |-218.42    -3.6
e   | + [[strikethrough]] 5 [[/strikethrough]] 6.22 | +9.20  |    +6.21 | +9.19 | 6.22   | 9.20   | +0.41  | +2.30  |
f   | +5.35 | +8.50  |   +5.40  | +8.50 | 5.38   | 8.50   | -0.43  | +1.60  |
g   | +4.80 | +3.59  |   +4.80  | +3.65 | 4.80   | 3.62   | -1.01  | -3.28  |
var | 5.80  | +6.91  |   +5.81  | +6.90 |
a
b
c   | 86    |         | 869     |242    |
d
e

[[calculation]] 38.0 [[+]] 49.8 [[+]] 43.6 [[=]] 131.4 [[/]] 3 = 43.8 [[/calculation]]

a= +57° 2693 23^h 1 17.5 + 57° 38.0 (8.3)
b= +57° 2694 23   1 25.0 + 57° 49.8 (9.2)
c= +57° 2691 22  59 27.4 + 57  43.6 9.5

[[calculation]]
log sec 57°43.8     = 0.272[[strikethrough]]7[[/strikethrough]]53  
Factor I plates  [[+]]1.03623
                 ____________ 
                      1.308[[strikethrough]]9[[/strikethrough]]76

[[/calculation]]

[[calculation]]
a 
Diff x = +0.96
9.98227 [[+]] 
1.308[[strikethrough]]9[[/strikethrough]]76 [[=]] 
1.291[[strikethrough]]2[[/strikethrough]]03 
19.5[[strikethrough]]5[[/strikethrough]]4
a 23 1 17.5 [[-]] 19.5 [[=]] 23 0 58.0
+ 57 38.0 - 8.2 [[=]] 57° 46.2
[[/calculation]]

[[calculation]]
(b) 
+1.30 
0.11394 [[+]] 
1.308[[strikethough]]9[[/strikethrough]]76 [[=]] 
1.422[[strikethrough]]9[[/strikethrough]]70 
26.4[[strikethrough]]8[[/strikethrough]]7
b 23 1 25.0 [[-]] 26.5 [[=]] 23 0 58.5 
+ 57 49.8 + 3.8 [[=]] 57 46.0
[[/calculation]]

[[calculation]]
d 
-4.57
0.65992 m [[+]]
1.308[[strikethrough]]9[[/strikethrough]]76 [[=]] 
1.968[[strikethrough]]6[[/strikethrough]]8 m
-93.0[[strikethrough]]9[[/strikethrough]]4 m
22 59 27.4 - 1 33.0 [[=]] 23 1 0.[[strikethrough]]4[[/strikethrough]]
+ 57 43.6 - 3.6 [[=]] +57 49.2 
+57 47.2
[[/calculation]]

Mean pos. of var. 23^h 0^m 59.0^2 + 57° 46.5(1855)

[[end page]]

[[start page]]

[[preprinted]] 15 [[/preprinted]]

April 15, 1907

Measures to determine the position of Var. #16

    |  y     |  x     | mean y |  mean x |  Diff y  |  Diff X   | Plate A 4442
var | + 5.12 | +12.92 | + 5.11 | +12.91  | [[strikethrough]] 7.02 [[/strikethrough]]         |  xxx      | xxx
a   | + [[strikethrough]] 7 [[/strikethrough]] 12.15 | +22.12 | +12.13 | +22.06  | + 7.02   | +9.15     |+36.60  |[[strikethrough]] +28.08 [[/strikethrough]]
b   | +15.21 | +3.45  | +15.21 |  +3.45  | +10.10   | -9.46     | -37.84 |[[strikethrough]] +40.40 [[/strikethrough]]
c|[[strikethrough]] +10.89 [[/strikethrough]]|[[strikethrough]] +21.22 21.23 [[/strikethrough]] 
                      |-22.27  |+10.88   | -27.38   | -2.03     | -8.12  | [[strikethrough]] -109.52 [[/strikethrough]]
var | + 5.10 | +12.90 |
a   | +12.11 | +22.01 |
b   | +15.21 |  +3.45 |
c   | -22.30 | +10.88 |
var |  +5.11 | +12.91 |
c   | -22.24 | +10.88 |
Mean var|+5.11|+12.91

a= +1°3481 17^h 32^m 41.9^s  + 1°49.0 9.2
b= +1°3475 17 31 28.1 +1°51.5 9.5
c= +1°3478 17 31 57.9 +[[underlined]] 1°14.0 [[/underlined]] 9.5
1°38.2 cos = 0.99959 sec = 1/cos

sec delta  = 1.0004
4sec delta = 4.

[[calculations]] [[strikethrough]] 
17^[[h]] 32^[[m]] 41.9^[[s]]  + 1° 49.0 [[/strikethrough]] [[/calculations]]
                 +28.1        +9.2
        ––––––––––––––––––––––––––––
17^[[h]][[strikethrough]] 31  13.8  +1 58.2
                      33   10.0 [[/strikethrough]]
[[strikethrough b 1731 28.4   + 1 51.5
                       40.4       -9.5
                     –––––––– –––––––––––
                    17 32 8.5
[[/strikethrough]] [[struck through calculations]]

[[calculations]] 
a = 17^[[h]] 32^[[m]] 41.9^[[s]]  + 1° 49.0
                      36.6              7.0
___________________________________________
    17^[[h]] 32^[[m]]  5.3^[[s]]  + 1° 42'.0  

b = 17^[[h]] 31^[[m]] 28.1^[[s]]  + 1° 51.5
                     -37.8             10.1
___________________________________________
    17^[[h]] 32^[[m]]  5.9^[[s]]  + 1° 41'.4

c = 17^[[h]] 31^[[m]] 57.9^[[s]]  + 1° 14.0
                       -8.1        -27.4
 ___________________________________________
    17^[[h]] 32^[[m]]  6.0^[[s]]  + 1° 41.4
                       5.9             41.4  
                       5.3             42.0
[[/calculations]]
Mean position of var. 17^[[h]] 32 5.7 + 1° 41.6 (1855)

Transcription Notes:
There are lots of numbers crossed out in the calculations at the bottom of the first page. These have not been noted above. strikethroughs need doing. KH: Strikethroughs don't seem to add to the understanding of this document and greatly impede legibility and usefulness. I suggest leaving them out in this case since the intent is clear and these are hand-calculations, not notations.