ON THE GAUSSIAN CONSTANTS FOR THE YEAR 1829, 



Annual Increments of Magnetic Elements for the date 1843-u— f7ie variations 

 ofX, Y, and Z being measured by units of intensity, the variations of d. 

 and of i by minutes of arc. 



Number 



of 

 station. 



I. 



2. 



4- 



5- 

 6. 



7- 



37 aS-oS 

 48 45 



123 55'05 



46 ao'4 

 76 56 

 132 52-5 

 24 46-47 



133 21-4 



X. 



9- 



10. 



II. 

 12. 



13- 



132 

 141 

 143 

 147 



6-8 



32'I 



1-6 



105 55"43 



13 23'20 

 352 30-0 



18 28-50 



280 38-5 



80 17 



147 27-5 



64 39-50 



225 30*7 



308 18-9 



254 31-0 



302 10-7 



283 56-3 



354 i6-oi 



^X. 



+ 0-570 

 + 2-996 



SY. 



—0-672 

 —0-469 



— 1-184 j +0-039 



— 0-265 

 +0-856 

 —0-090 

 — 0116 



+ I'O02 



+ 8-069 

 + 3-105 



+ 7'4i5 



+4-140 



Sd 



( + i'-347) 



-0-243 

 -0-310 

 -0-261 

 -o-68i 



-3'i49 



+0-693 



— 6-630 



— 0-065 



— 7-212 

 Si 



(-4'-ii8) 



SZ. 



— 2-710 

 + 1-087 



-1-277 



+0-165 

 +0-856 

 — 0-014 

 + 1-436 



-6-604 



-5-796 

 -5'994 



— 5763 



— 6649 



p. 



The results 

 oriainatinsr : — 



At Berlin. 



Out of Erraan's ob- 

 servations in Spain 

 and France for 

 1853-7. and on the 

 Atlantic for 1830. 



At Cape Town. En- 

 glish observatory. 



At Toronto. Ibid. 



At Madras. Ibid. 



AtHobarton. Ibid. 



At Obdorsk and Be- 

 resowsk. Observa- 

 tions for 1828 and 

 for 1849. 



On the Pacific. Out 

 of observations in 

 1830 by Erman, 

 and in 1843 on 

 English ships. 



Ibidem. 



Ibidem, 



Ibidem. 



Ibidem. 



At St. Helena. En- 

 glish observatory. 

 Intensity-changes 

 not observed. 



The quantity p being supposed to expres.s the number of direct obser- 

 vations -which might have given a result of equal accuracy to that in 

 question, it ought to be inversely proportional to the square of the probable 

 error of this result, -which latter, in its turn, is luikuowu. Therefore our 

 suppositions on these values of j> could pretend to no more than an approxi- 

 mation to reality, and -n-ere then founded partly on regard to the exactitude 

 and completeness of the absolute measurements at different places, partly as 

 follo-ws from some regard to the dates of these performances. Out of the 

 preceding values of annual increments, only those under 1 and 3 have 

 been derived immediately and exclusively from observations at the places 

 named in the same lines; and then, especially if the date is generally 

 marked by 1800 + 1, the numerical absolute values of magnetic elements are 

 expressed for Berlin, or with u and X as under 1, according to Ermau's ob- 

 servations, by 



d = 18 7-55-6-0700362 . (t-l-9Uy, 

 i=66 37-20 -f 0-02125. (<-102-2)-, 

 w =502-04 + 0-0068043 . (<— 16-108f ; 



