290 SCIENTIFIC RESULTS OF ZIEGLER POLAR EXPEDITION 



In the case of a cycle of twelve equidistant observations : 



4+ ...... A,) 



60, =0.866(4 ; 5 /, + /) +0.500 (4 A / + /,) 4 + * 

 6* t = o. 500 (/, + / 5 /, /) + o. 866 (/, + / t a /) + /, 



60,- 0.500 (/, A A + 4 + A 4 4o + ',i) *, + ', 4 + 

 6*. = 0.866 (/, + /, - t, t t + /, + /. / 10 /) 



/, + /,_/, + /; / 



6 4 = o. 5 oo( /, /, A A /, /, / ') 

 6k,, = 0.866 (/, _/, + / 4 _ 4 + /,_/ + * lt /) 



On the evaluation of these equations the coefficients B lt B. lt B s ..... B n , and the angles 

 "n Cv C 3 , . . . . C a are found as before.* 



The results of the discussions for the various periods from the observed and interpolated 

 hourly declinations are as follows, the probable error of a single representation being indicated 

 by the " plus or minus " quantity at the end of each formula : 



FORMULA REPRESENTING DIURNAL VARIATION IN MAGNETIC DECLINATION AT 



TEPLITZ BAY 



October 4 to October 30, 1 903 : 



D= 22 36/7 + 13/67 sin (B + 2 31') + 6/98 sin (2 e + 282 25') + 

 1/33 sin ( 3 0+ 16 46') + 1/55 sin (4 + 62 47') 0/37 



November i to November 28, 1903 : 



D = 22 49/8 + 19/74 sin (8 + 1 1 44') + 14/03 sin (20+ 303 01') + 

 3/91 sin ( 3 0+ 285 42') + 3/13 sin (4 + 145 38') 0/94 



November 29 to December 26, 1903 : 



D=22 45/9+ 13/13 sin (0 + 6 09') +4/97 sin (2 0+270 44') + 

 4/50 sin (30+ 103 12') + 2/00 sin (4 + 78 58') 0/24 



December 27, 1903, to January 23, 1904 : 



D=22 46/7 + 13/96 sin (0 + 9 40') + 8/60 sin (2 -f 295 59') + 

 3/97 sin (3 + 159 26') + 2/01 sin (4 O + 330 oo') 0/35 



January 24 to February 20, 1904 : 



D=22 46/3+ 13/54 sin ( + 15 04') + 7/72 sin (20+317 17') + 

 2/19 sin (30+ 126 14') +2/79 sin (40+318 22') 0/48 



February 21 to March 19, 1904: 



D = 22 41/6 + 9/47 sin (0 + 357 4 8') + 3/65 sin (20 + 247 46') + 

 2/38 sin (30 + 4 04') + 2/34 sin (40 + 346 42') 0/24 



* These solutions are given by C. A. Schott in Appendix No. 8 of the Report of the Superintendent of 

 the United States Coast and Geodetic Survey for 1890. 



