OF THE ATMOSPHERIC TEMPERATURE. 



303 



The series of annual means thus obtained, after undergoing the process of suc- 

 cessive means, are given in the following table. A combination series is indicated 



see preceding tables. Designating these series in the order named hj A B G D U, -we proceed to 

 find the differences A — B from each year from the 33 year§ common to the two series ; this gives 

 the mean value A — B = -|-0°.8 with the weight 33 ; in like manner we form the other differences 

 designated by V^V^V,^ . . . subject to the small corrections v^v^v^ . . . as follows. 



y, 



A — B = -\-o.% 



+ '^'i 



weight 33 







^■2 



A—C = —o.\ 



+ --'. 



17 



By means of the relation V, — 1\ — l\ 



= oand 



y. 



^_Z) = +o.3 



+ ^'3 



36 



similarly in the other four cases we 



establish 



'<, 



A—E = -{-Q.\ 



+ ''* 



3 



the conditional equations : — 





K 



£—C = —o.l 



+ '^5 



20 







V]. 



B — D = —i.6 



+ -« 



30 



f = . — 0. 8 — v.^-\-v^ — z/- 





't 



^ — £ = + 1.4 



+ ^, 



3 



1 o = +0-S— ^'i + J'a — ^'6 





K 



C — /? = — 0.8 



+ "8 



13 



-, o =— 1.8 — Z-i + I., — P, 





y. 



C-i? = +o.3 



+ "^'0 



■ 13 



= ^1,2 — v-\.v.^ — V^ 







[D — E does not exist.) 





Lo=+o.2— ^, + z,,_.., 





whence the equations of correlatives and the normal equations — 





100 



c, 



c. 



C3 



Q 



c 





Ci 



c, 



C3 



C^ 



C5 







/ 













f o = — o.S 















^1 



9 



I 



— I 



— I 







+42 



+ Q 



+ 



— iS 



— iS 



^'z 



IS 



+ 1 







— I 



— I 



o = +o.S 



-f 9 



+ 27 



+ q 



+ « 







^'3 



8 





+1 





+1 





- o = — i.S 



+ q 



+ 



+209 





+100 







100 







+1 





+1 



= + I.2 



— iS 



+ « 





+49 



+ i8 





'"b 



IS 



— I 











0=+0.2 



— 18 





-f-ioo 



-fiS 



+ 141 





^G 



10 





— I 











1 



&, 



100 







— I 







hence : 



(T, = -|-o.oi27 



z^j = 4-0.02 



A—B==+o°.S 



^8 



23 









— I 







Q = —0.0228 



I'.^=:+0.60 



A — C = -\.o.s 



^9 



-3 











— I 





C3 = +0.0123 

 C, = — 0.0136 

 C^ = — 0.009S 



-'.' = +0.55 



A—D= 0.0 

 A — E = -{.i.o 



and applying these differences to the respective series — the Brunswick series remaining unchanged- 

 they become as follows: — 





% 



'^ 



, 







M 



> * 





^ 





u 







■i^ 



> ^ 





^ 











M^ 







? 



§ 



s 



c 



1/1 



fr> 



^ c vj 





p: 





a 





'S 



i=> 



S c >-" 





is 





c 



c 



■5 



^> 



I c -■ 



> 













u 



Q 





1^^ 



u 

 rt 



> 



« 



(S 



V 

 



CJ 







P ^ 



l^° 















U 



CJ 





H S -0 





A 



B 



c 



D 



K 









A 



E 



c 



D 



E 









A 



li 



c 



D 



ii 







1807 



43-7 











43-7 





1829 



46.2 



44.0 





44-5 





44-9 



45-6 



1S15I 



42.6 



43-9 



44-5 







43^7 



44.1 



1808 



43-4 













43 



4 



(43 



') 



1S3O 



47-5 



45-3 





44 



6 





45 -S 



45 



5 



I8S2 



43-9 



44-5 



45.2 







44 



5 



44.1 



1809 



42.1 













42 



1 



43 



1 



I83I 



47-7 



45-0 





45 









45-9 



45 







i«53 



44-5 











44 



5 



43-9 



I8I0 



43-t 







43-1 







43 



3 



43 



2 



1832 



45-2 



42.8 





42 



I 





43-4 



44 



2 



iS54 



42.7 











42 



7 



43-8 



I8II 



44-7 







44- y 







44 





43 



2 



■!'33 



45-0 



43-0 





42 









43- S 



43 



7 



I8S5 



42.9 





45-7 







44 





43-S 



I8I2 



40.9 







41-5 







41 



2 



43 







I^34 



45-4 



43-5 





43 









44.0 



43 



4 



I8S6 



41.8 



45.1 



44.0 







43 



6 



43-8 



I8I3 



43-2 







43-^ 







43 



4 



43 







>!535 



44-4 



42.7 





42 



b 





43-2 



42 



9 



1857 



43-6 



45.1 



44-9 





43-1 



44 



2 



43-7 



I8I4 



43-3 







44.0 







43 



b 



43 







iS3b 



43-0 



|I.O 





40 



9 





41.5 



42 



2 



iSsS 



43-« 



44-3 



42.9 





43-1 



43 



5 



43-5 



ISI5 



42.9 







42.4 







42 



7 



42 



7 



1^37 





41.0 



41-5 



41 



2 





41.2 



42 



I 



1859 



40.3 



43.8 



41.8 





43-4 



42 



3 



43-4 



I8I6 



42.1 







41. y 







42 







42 



4 



1838 





42.8 



43-2 



43 



I 





43 -o 



42 



8 



i8bo 











44.8 



44 



8 



43-6 



1817 



41.6 







42.0 







41 



8 



42 



7 



ifi39 





43-9 



44. b 



43 



4 





44.0 



4^ 



7 



1861 







43.6 





43.6 



43 



6 



43-7 



I8I8 



448 







42.8 







43 



8 



43 



5 



1840 





44.0 



45-5 



43 



b 





44-4 



44 



3 



1852 







4S-4 





43-4 



43 



4 



43-7 



I8I9 



45-5 







44-7 







45 



1 



44 



i 



1S41 



46.6 



43-9 



46.0 



43 



9 





45-1 



44 



5 



i8b3 







43.6 





44.2 



43 



9 



44.0 



1820 



44. c 



43-^ 





43-5 







43 



8 



44 







184: 



45-fe 



43-9 



44-4 



44 



I 





44-5 



44 



2 



1864 







45-1 





44-3 



44 



7 



44-5 



1821 



43-9 



43-5 





42.8 







43 



4 



43 



7 



it*43 



43-9 



42.9 



43-1 



43 



7 





43-4 



43 



5 



i86s 







45.0 





46.0 



45 



5 



44-8 



1822 



43-1 



44-4 





44-5 







44 







43 



5 



1844 



42.3 



43-5 



41.0 



42 



9 





42.4 



43 



3 



l86fa 







44.1 





45.0 



44 



5 



44-4 



■!i23 



41. c 



42.4 





43-0 







42 



I 



43 



5 



1845 



43-3 



44.1 



42.2 



45 



2 





43-7 



43 



8 



i8b7 







43.0 





4^-5 



43 



3 



43-8 



1824 



43-9 



44.0 





4.';-o 







44 



3 



44 



2 



184b 



44.0 



45.2 



45.0 



48 



4 ... 



45-6 



44 



4 



1 868 







42.9 





43-0 



43 







43-5 



182s 



45-7 



46.0 





4b. 3 







4b 







45 



2 



1847 



43- 1 



43-9 



44-8 



45 









44.2 



44 



5 



i8b9 







45-3 





45.1 



45 



2 



(45-1) 



l82t) 



45-5 



45-8 





4b. b 







4b 







45 



4 



1848 



43-7 



45-4 



44-3 



45 









44. b 



44 



3 



1870 







46.6 





47 5 



47 







1827 



43-9 



44.0 





44.0 







44 







45 



4 



1849 



43-0 



44.4 



4vq 



44 









4-v8 



44 





















1828 



4b. 9 



46.2 





47-5 





4b.9 



45-5 



1850 



43-4 



45-2 



44-7 







44-4 



44 



I 



















