' 63 3 2 9 8 1 64

Treten an die Stelle von gl , g,, . - bezw. wl , w,, . . , so geben die rechten Seiten dieser Gleichungen, dividirt durch n , das mittlere Fehlerquadrat der Gewichtseinheit.

Die Gleichung (23) ist bereits von Herrn Dr. Paul Simon, aus den reducirten Normalgleichungen vermittelst einer Kettenbruchentwicklung sowie auch durch Anwendung

von Determinanten, abgeleitet worden (Gewichtsbestimmun- gen fur Seitenverhaltnisse in schematischen Dreiecksnetzen, Veroffentlichung des Koniglichen Geodatischen Instituts, Seite 7-8, 35-39). Von demselben ist auch eine Reihe interessanter Beziehungen zwischen den Grossen N aufge- stellt worden.

right-ascension of the limb observed, the ninth the seconds of right-ascension of the limb according to the Nautical Almanac (to which Newcomb's corrections are applied), the tenth the apparent error of Nautical Almanac (obser- vation minus calculation). From the figures in this column it appears that the tabular semi-diameter must be decreased by of127 to represent my observations and by oJo18 to represent Mr. Plummer's observations. These corrections were applied, and the eleventh column exhibits then the error of the Nautical Almanac (observation minus calculation). - The longitude of the Observatory is 7h36m41586 east

the seven wires, the sixth the reduction to the meridian, the seventh the clock-correction, the eighth the resulting

of Greenwich.

Date I Hongkong M. T.

1884 Nov. 2 5

26 2 7 2 8

29 30

Dec. I

7 8 9

2

I 0 I 1

I 2

13 26

5h 3 4 9 0 I 4 4

7 8 5.73

8 49 5.13 9 44 8.17

1 0 42 39.23 I I 44 7.85 16 42 35.40

6 2 0 42.38

7 5 7 '7.40

1 7 32 31.28 18 19 57.06 '19 5 44.04 I9 50 40.91 2 0 35 30.06 2 1 2 0 41.46

6 38 28.96

Potsdam 1895 April. L. Kriiger.

Transits of the Moon across the Meridian of Hongkong. By W. Doberck.

The following transits of the moon were observed by me by eye and ear with Troughton & Simms's three inch transit instrument in 1884 and 1885. In 1893 and 1894 they were observed by Mr. J. I. Plummer with the same in- strument and Sir Howard Grubb's chronograph except on the lgth Febr. 1894, when Mr. F. G. Figg observed. The clock-correction was determined by aid of the Nautical Almanac apparent places of stars. The first column shows the date, the second the Hongkong mean time, the third the limb of the moon, the fourth the position of the in- strument, - clamp east or west, - the fifth the mean of

- Lb .

I I I I I I I I I1 I1 I1 I1 I1 I1 I1 I

-

W E E W W E E E E E E E W E W E

Mean of Wires

5% 7 30.31 5 7 . 1 I 1 2 . 2 8

4.08 11.54 47.90 2 2 . 2 1

16.68 15.81 4 4.3 5 33.97 33.56 24.63 38.76 59.70

Reductior to Merid.

-0I17 f O . 1 I

+ O . I T

- 0 . 2 I

-0.28 +o. I 8 -0.09

-0.38 -0.26

-0.14 - 0.30 +o.z I

-0.05 +0.06

-0.12

- 0 . 2 0

Clock slow

I 5Io I

'5.79 16.69 18.14 19.21 19.93 2 1.07

2 2 . 0 7

2 7 . 2 2

28.61 30.14 31.5' 32.91 34.38 35.89 52.67

Observed RA.

2 ih j 3 m 2 0 ~ 1 I

2 2 43 46.21 23 35 '3.91

o 28 30.21 I 24 23.01 2 23 31.65 3 26 8.88 4 3' 44.16 9 50 43.52

1 0 44 44.16 I I 36 14.29 1 2 26 5.34 13 1 5 6.17 14 3 59.22 I 4 53 14.60 0 59 52.43

N. A. RA .

2 0 ? 2 I

13.94 30.17 23.01 3 1.44 8.80

44.07 43.84 44.45 14.49

5.58 6.66

59.34 14.8 I

5 2 . 5 0

46.25

~ p p . err. o g.A.inRA

- 0 J I O

-0.04 -0.03 t o . 0 4

0.00

+0.2 I

t o . 0 8 +0.09 -0.32 -0.29

-0.24 -0.49

-0.20

-0 .12

-0.21 -0.07

h r . err. of i.A.inRA.

- 0 J 2 3

-0.1 7 -0.16 - 0.09 -0.13 +0.08 -0.05 -0.04 -0.19 -0.16 -0.07

-0.36 f O . 0 1

- 0.08

-0.1 I

- 0 . 2 0

3298 I 66

Date

1884 Dec. 2 7

28 29 30

1885 Jan. 2

4

30 3'

Nov. I

' 3 '4 ' 5 16 1 7 18

23 23 24 2 5 2 7 28 29 30

Dec. I

'5 16 I 8 I 9

'893 Oct. 23

2 2

I 2

2 0

2 1

2 2

23 1894 Jan. 11

Febr. 13 I 4 I 5

19 Marz 1 2

I 3 I4 I 9

2 7 28 2 9 30

April I 2

I 3 I 9

May 1 0

I 5

2 0

2 1

Ilongkong M. T.

Ih 29m45f10 8 24 21.86 9 2 2 33.59

1 0 23 49.77 ' 3 32 ' 7 .40 ' 5 2 2 57.33 10 2 0 26.31 I 7 1 1 2 7 . 1 8

18 9 23.88 19 2 8.29 3 29 5.23 4 19 28.14 5 8 6.84 5 54 48.82 6 39 54.72 7 24 11.46

10 37 51.86 ' I 37 7.44 I I 39 39.57 1 2 44 12.90

' 3 5 1 39.14 16 o 2 8 . 5 2 16 56 5 2 . 2 2

' 7 47 37.44 18 33 56.36 19 1 7 19.19 3 3 59.53 5 18 5 2 . 5 7 6 1 42.59 7 31 10.60 8 20 50.60 9 1 5 49.10 10 16 54.16 1 1 23 17.78 1 2 34 38.71 3 ' I 28.55 5 49 50.09

7 49 46.1 I 11 56 26.86 3 46 9.60 4 42 0 . 8 8 5 4 2 9.03

10 36 54.38 I 1 2 5 34.89

' 7 5 2 9.73 18 4.3 33.5' '9 33 29.45

5 41 56.56 6 42 43.62

11 35 6.93 13 10 12.65 4 36 ' 7 . 5 7 8 48 14.04

6 47 2 7 . 1 7

17 o 16.39

- JJ.

I I I I I1 I1 I IS I1 I1 I I I I I I I I I1 I1 I1 I1 I1 I1 I1 I1 I I I I I

I I I1 I I I I I I I I I I 11 I1 II I1 I I I I1 S I

-

, I

:lamp

E W E E W W E W W E E W E W E W E W W W E W I? W E W W E W E W E W E W w E W E W W E W W E E W E w E W E W W E

-

Hongkong Observatory 1895 Jan. 26.

dean of Wires

I954 I 0.28

16.78 38.08 2 2 08 10.14 43.89 32.19 35.34 2 4.6 7

9.24 37 7 4 20.61

7.60 1 7 03 38.23 36.64 58.7 7 31.31 '7.33 44.6 I 47.77 16.17 6 79

29.23 55.74 14.6 7 17.96 = 1.5 7 46.43 30.99 34 40 46.01 16.49 45.76 51.24 27.34 I 0.0 7 3 5.00 40 31 43.30 39.37 53.54

7 87 52.23

2.40 0.96

29.23 29.96 5 5 . 2 0

49.17 40.54 55.76 40.54

4.76

Reductior to Merid

+ OSO8

-0 .16

+ O . I O

+O.I 1

-0.1 I

-0.20

+0.40 -0.67 -0.72

+0.29 +0.56 -0.25

+0.31 -0.40 + 0 . 2 2

-0.42 -0.15 -0.76 -0.76 - 0.48 -0.07

-0.47 -0.14 - 0.39 +0.04 -0.31 -0.29 +0.05

-0.37 -0.14 -0.26 +O.I'/

-0.35 +0.14 -0.43 - 0 . 2 7

-0.29 -0.45 -0 26 -0.52

-0 .72

-0.28 -0.67 -0.61 -0.14 t o . 1 3 -0.40 -0.08 -0.41 t o . 0 6 -0.30 +0.18

- 0 . 2 7

+0*39

-0.12

Clock slow

5 450 5 55 .71 5 6.80 58.28 62.78 66.03 39.28 36 33 36.0 I 35.29 32.80 32.84 32.66 32.60 32.42 32.42 32.19 32.54 32.54 32.74 32.93 3332 34.0 1

34.3 7 34.58 34.94 38.58 3 9 3 3 40.2 5 40.98 41.26 4 1.50 42.07 42.19 42.70 49.99

6.85 7.38 7.99

10.38 17.48 17.99 18.19 20.94 21.16 23.08

23.66 24.02 23.95 23.95 2 2 76 22.29 12.73 8.49

23.47

Observed RA.

Ih 55"'3554 2 53 5 5 3 3 3 56 13.68 5 I 36.47 8 2 2 24.75

10 2 1 15.97

7 49 7.85 8 5 1 10.63 9 48 0 . 2 5

18 59 42.60 '9 54 10.33 2 0 46 53.58 2 1 37 3 9 3 0

0 2 9 23.57

2 2 26 49.67 23 1 5 10.23

2 45 8.68 3 48 30.55 3 5 1 3.13 4 59 43.59 6 11 17.47 8 28 2 1 . 1 2

9 28 50.64

I I 14 3.85 I 2 I 30.37 2 0 28 52.96 2 2 5 5 57.84 23 42 51.45

I 2 0 27.27

3 13 16.07

5 28 38.82 6 44 28.03

2 2 40 40.96 3 23 33.90 4 2 5 1 1 . 0 0

5 3' 42.73 9 54 50.23 3 6 0.06 4 5 57.08 5 1 0 11.66

1 0 23 40.77

2 14 11.99

4 18 27.73

I 0 2 5 2 8 . 2 0

1 7 21 25.61 18 1 7 24.03 19 1 2 52.81 2 0 6 53.51

7 4 .19.21 8 9 1 2 . 8 2

13 2 6 3.48

7 48 53.00

I 1 I8 1 3 . 2 5

I 5 9 17.93

1 2 2 1 13.64

N. A. RA.

I3554

'3.58

24.76

55.73

36.3 7

16.05 23.32

8.12

10.94 0 48

42.72 10.47 53.62 39.75 49.7 5 10 .2 5 8.77

30.66 3.00

43.4 5 '7.49

5 0 4 5 40.7 9

3.98 30.5 1

53.22 57.59 51.42 27.23 1 2 . 0 7

16.08 27.86 58.8 I 28.03 41.04 33.79 17.00

42.5 7 50.14

57.13 I 1.63 2 8 . 1 2

13.18 25.37 23.93 52.82

53.59 19.14 12.99 3.47

I 7.68 5 3.05 13.64

2 1 . 2 0

0.12

pp. err. o [ . A h RA

oioo +o . ro + O . I O

+ O . I O

-0.01

-0.08 -1-0.25 - 0 . 2 7

-0.31 -0.23

-0.14 -0.04 +0.05

-0.08

-0.09

t o . 1 3 +0.14

- 0.08

-0 .12

- 0 . 0 2

-0. I I

- 0 . 0 2

-0.11

- 0 . 0 2

-0.13 -0.14 -0.26 + 0 . 2 5

+0.03 +0.04 -0.08

-0.13 -0.01

+ O . O I

0.00

-0.08 + O . I I

0.00

+o.16 +0.09 -0.06 -0.05

+0.03 +0.08

+0.07

+0.24 +o, I 0

-0.01

-0.08

+0.07 -0.17

+ 0 . 2 5

-0.05

f0.01

0.00

:err. err. of q.A.inKA.

-0?13 -0.03 -0.03 -0.03 +o. 1 2

+0.05

+0.23 -0.25

-0.29

-0.14 -0.16 -0.06 t o 03

-0.04

-0.13 +0.15 t0.16

- 0.06 - 0.09

-0 2 1

-0.10

-0.1 I

0.00

0.00

-0.11

-0.12

-0.28 +0.23 + O . O I

+ O . O Z

-0.10

- 0.03 - 0 . 1 5

- 0.0 I + 0 . 0 2

-0.10

+0.09

+o. 14 +0.07

-0.08 -0.07

+0.06 +0.05

t0.26 +0.12

+o.o I

-0.06 +0.05

-0.19

+0.27 -0.07

-0.02

+ O . O I

- 0.0 I

- 0 . 0 2

W. Doberck.