162 ANNUAL REPORT SMITHSONIAN INSTITUTION, 1919. 
Table XI. — Check plates, measures. 
star. 
Approximate 
coordinates. 
qi-ai. 
Wi—h- 
Si—Ci. 
Ti-di. 
fi-ei. 
I. 
y- 
Ax. 
Ay. 
Ax. 
Ay. 
Ax. 
Ay. 
AX. 
Ay. 
Ax 
Ay. 
1 
1.41 
5.89 
9.46 
12.00 
12.80 
13.75 
15.50 
20.13 
20.81 
22.91 
26.46 
20.31 
12.74 
11.13 
6.84 
27. 33 
13.78 
24.38 
10.49 
0.93 
6.23 
8.96 
4,346 
3, 865 
3,640 
3,311 
5,415 
4,076 
5,125 
3,965 
2,874 
3,685 
4,222 
7,180 
6,405 
5,932 
5,590 
6,561 
5,630 
6,300 
4,940 
4,352 
4,436 
4,288 
3,199 
3,394 
3,408 
4,259 
4,129 
4,118 
6,012 
4,922 
4,369 
3,831 
7,689 
4,891 
7,375 
6,132 
5,366 
4,752 
5,925 
4,805 
3,921 
3,039 
2,638 
1,938 
5,379 
3,101 
8,796 
7,440 
6,776 
6,156 
7,580 
6,461 
5,435 
5,978 
5,966 
5,032 
5,906 
5,139 
6,398 
7,268 
6,765 
6,836 
4,399 
2 
4,170 
4 
4,441 
5 
4,314 
5 794 
6 
3,192 
3,496 
5,140 
4,290 
7 
4,826 
8 
5,412 
10 
3,679 
3,876 
3,931 
4,045 
4,505 
3,759 
4,158 
4,326 
4,656 
2,845 
4,039 
4,724 
3,568 
2,815 
2,738 
2,232 
2,866 
1,238 
2,270 
2,720 
5,370 
4,758 
4,551 
4,120 
5 229 
11 
12 
4,482 
5 076 
13. 
5 561 
The unit for x and y is 5 millimeters, which is approximately 
equal to 5'. The differences A ;», A i/ are given in units of the fifth 
place of decimals = 0.003". The center of the plate is near x = 14. 
2/ = 14. 
Plate constants were then calculated in the usual way, by the 
formulae 
AsG = ax -j- by -\- c 
Ay = dx -{- ey -^ f 
These were applied, and the residuals A^a?, A^?/ converted into arc 
are as follows : 
Table XII. — Check plates, residuals. 
star. 
1. 
2. 
4. 
5. 
6. 
7. 
8. 
10 
11 
12 
13 
All. A\y 
-0.02 
+ .39 
- .14 
- .08 
- .06 
- .06 
- .30 
- .02 
- .46 
+ .16 
+ .59 
-0.02 
+ .15 
- .04 
+ .35 
- .10 
- .28 
+ .34 
- .10 
- .01 
- .14 
- .12 
Wi—bi. 
All. Aiy 
+0.29 
+ .16 
- .16 
- .28 
- .10 
- .21 
- .13 
+ .13 
+ .32 
-0.34 
+ .14 
+ .09 
+ .52 
- .22 
- .04 
- .26 
All. Aiy- 
+0.02 
+ .69 
- .38 
+ .25 
- .09 
- .74 
- .15 
- .13 
+ .19 
+ .34 
-0.07 
.00 
- .12 
+ .19 
+ .14 
- .09 
+ .16 
+ .11 
- .06 
- .25 
Ti—di. 
All- Aiy. 
-0.03 
- .69 
- .02 
- .21 
- .10 
- .31 
+ .08 
- .13 
+ .17 
- .13 
+0.22 
- .29 
- .37 
- .21 
+ .12 
+ .02 
+ .25 
+ .71 
- .09 
- .38 
All. Aiy. 
+0.49 
+ .10 
- .54 
+ .15 
- .39 
- .38 
- .08 
+ .30 
- .13 
+ .48 
+0.01 
- .23 
+ .12 
- .01 
+ .49 
- .12 
- .68 
+ .34 
- .28 
+ .08 
+ .28 
Mean. 
All- Aiy 
+0.15 
+ .41 
- .25 
- .01 
- .08 
- .32 
- .34 
- .08 
- .11 
+ .10 
+ .32 
- 0.04 
- .05 
- .06 
+ .08 
+ .18 
- .13 
- .17 
+ .23 
+ .06 
- .05 
- .15 
