(15.) REDUCTION OF THE LATITUDE-OBSERVATIONS-Continued.

7 24.41 + 3 28.86

7 16.02

+

0.00

4 13.4 14 59.7

45.0

55

46.0

(15.) REDUCTION OF THE LATITUDE-OBSERVATIONS—Continued.

Computations for Latitude of Cheyenne, Wyoming Territory.

7 19.78 10 38.69 5 19.19 5 43.00 5 16.70 O 50.97 4 20.67 7 17.20 3 38.49 7

6.42 9 14.47 5 23.24

2.33

0.00

44.7

52 53

5.8

2.33

0.00

46.3

0.00

55 56

46.8 49.7 49.9 48.0

17

8.2 13 17.8

57

6.60

(15.) REDUCTION OF THE LATITUDE-OBSERVATIONS—Continued.

Computations for Latitude of Cheyenne, Wyoming Territory.

0.90 2.75 2.70 5.00 4.40 3.30 3. 30 1.23 2.20

I

0.00

40 55 42.9
41 5 0.1

5 33.3
40 56 50.0
41

8 22.3 9 26.4 15 13.0

18 28.9 10 57 30.0 41 I 22.6

9 13.4 40 57 51.7 41 25 58.3

7 8

0.00

0.00

9 10

417 49.4

46.1 47.3 47.7 46.0 47.2 47.0 48.0 47.0 46.6 47.3 45.2 47.6 46.6 48.2 44.4

+ 0.10

II

12

13 14 15 16

+

0.00

46.7

1

57.5
16 58.9
3 7.4
3
14 1.8
12

14.9
22 33.2
22

37.9 22 16.6 17 47.6 17 35.2

3 57.8 IO 10.2

45.1 46.5 47.6 48.1 47.9

0.00

30 31 32 33 34

0.00

7

22.73 IO

39.69 + 10 19.05 + 6 29.43

1 23.92 + 9 55.49

18 8.17 +.5 48.34 + 5 54.00

9 II. 20

4 12.58 + 4 41.96

6 10.94 1 24.02 14 44.97 14 49.91 14 28.39 9 58.35

9 47.47 + 3 52.79

20.79

44.75 6 39.38 3 32.59

I1.41

42.55 6 24.30 7 24.75 10 42.89 0 47.96 4

16.72 7 17.45 + 3 35.54

7 7.77 9 15.73

5 28.98 + 10 37.96

36

37 38 39 40 41

2.47
1.50
2.20

0.00

0.00

7 2.0 14 29.9 4 17.6 7 58.8 5

6.0 14 12.5 15 12.9

47.2 45.7 48.4 47.2 44.3 49.0 48.0 45.3 46.5 46.3 46.4 46.3 47.7 48.4 47.0 45.4

42

1.90 1.70 1.70 3.57 2.75 1.54 3.57

0.00

43 44 45 50 52 53 54 55 56 57

0.00

0.00

0.00

9 39.2 12

7.9 15

6.0 4 13.4 15 0.2 17 8.4 13 18.0 57

11.8

+

1,10

(15.) OBSERVATIONS FOR LATITUDE, CHEYENNE, WYOMING TERRITORY.

Giving the first series half-weight on account of the smaller number of the observations and the less favorable condition of that night's work, the resulting latitude, and the one adopted for this station, is, 41° 7' 46''.62, with a probable error of Foʻ.08. The latitudes were originally computed by Professor William A. Rogers, of Cambridge, Mass., and revised by Dr. F. Kampf.

(16.) Resulting ASTRONOMICAL CO-ORDINATES.

m

m

Taking the longitude of the Salt Lake observatory to be 2" 19" 22".74 west of Washington by determination of the United States Coast Survey, and Washington to be 5k gm 12%.12 west of Greenwich according to the report of Rear-Admiral B. F. Sands, Superintendent of the United States Naval Observatory, October 6, 1871, Cheyenne is in longitude west from Washington, in time, 1" 51" 3o.30; in arc, 27° 45' 49".50; in longitude west from Greenwich, in time, 6h 59" 15*.42; in arc, 104° 48' 51":30; in latitude, north, 41° 7' 46".62 +0.08.

This final result for longitude is subject, as already stated, to a correction for the personal equation of the observers. It is possible, also, that the longitude of Salt Lake may be changed when the observations made last October at Detroit and Ogden by the United States Lake Survey and your expedition respectively are computed. In such an event, of course the longitude of Cheyenne will be correspondingly affected. Respectfully, yours,

JOHN H. CLARK. Lieut. Geo. M. WHEELER,

Corps of Engineers, in charge.