196 



DISCUSSION OF THE ANNUAL FLUCTUATION 



Day of 

 Month. 



Jan. 



Feb. 



Mar. 



Apr. 



May. 



June. 



July- 



Aug. 



Sept. 



Oct. 



Nov. 



Dec. 











Providence, Rhode Island. 











Resulting annual fluctuation from 



a series of 28^ years, 1831-1860, or mean temperature 



of every 



Jay, derived from 1 



the 6th 



order of successive means. 

















I 



27°. I 



2S°.6 



30°.o 



40°. 5 



5i°-3 



59°.5 



69°. 8 



70°. 6 



66°.2 



56°. I 



45°-6 



33°-<i 



2 



26 



6 



24.8 



29-3 



40.8 



51 



6 



61.3 



69.8 



70.5 



66 



2 



55 



9 



45 



7 



33-5 



1 3 



26 



2 



24.6 



29.0 



41-3 



51 



8 



62. 5 



69.7 



70.4 



66 



7 



55 



I 



45 



7 



33-4 



1 '^ 



26 



2 



24.5 



29.4 



42.0 



52 



.0 



62.S 



69.6 



70.4 



67 



2 



54 



3 



45 



4 



33-0 





26 



4 



24.6 



30-4 



42.2 



52 



2 



62.7 



69-3 



70.5 



67 



2 



54 







44 



7 



32.6 



1 6 



26 



8 



24.9 



31.6 



43-2 



52 



6 



62.5 



69.0 



70.7 



66 



7 



53 



9 



44 







32.2 



i 7 



27 



I 



25-3 



32.6 



43-8 



53 







62.6 



6S.9 



70. 8 



66 







53 



8 



43 



6 



32.2 



1 S 



27 



3 



25.6 



33-4 



44-3 



53 



2 



63.2 



69.9 



70.7 



65 



3 



53 



7 



43 



4 



32-3 



I 9 



27 



4 



25.6 



33-8 



44.6 



53 



3 



63.8 



70.7 



70.5 



64 



7 



53 



6 



43 







32-3 



lO 



27 



4 



25-5 



33-7 



44-7 



53 



6 



64.1 



71. 1 



70.3 



64 



3 



53 



2 



42 



4 



32.0 



II 



27 



S 



25.2 



33-7 



44-7 



54 



2 



64.1 



71.2 



70.4 



63 



7 



53 



I 



41 



9 



31-1 



12 



27 



6 



24.9 



34- 



44-5 



55 







64.2 



71-3 



70. 8 



62 



5 



52 



8 



41 



6 



30.2 



13 



27 



7 



25.1 



34- S 



44.0 



55 



5 



64.5 



71.5 



71. 1 



61 



4 



52 







41 



2 



29.8 



i '4 



28 



3 



25.9 



34-7 



43-4 



55 



7 



65.0 



71.6 



70.7 



60 



7 



50 



8 



40 



4 



29.8 



15 



28 



8 



26.6 



34-7 



43-1 



56 



I 



65.4 



71.5 



69.8 



60 



6 



50 



2 



39 



8 



29.7 



i6 



28 



8 



26.7 



3S-0 



43-2 



56 



9 



65.5 



71.4 



69.0 



60 



8 



50 



7 



39 



8 



29.0 



17 



27 



7 



26.5 



35-5 



43-6 



57 



7 



65.7 



71.6 



68. 5 



61 



3 



51 



7 



40 



I 



28.1 



i8 



26 



5 



26.8 



35-9 



44.1 



58 







66.2 



72.1 



6S.3 



61 



9 



52 



2 



40 



3 



27-3 



19 



25 



8 



27.8 



36.2 



44-9 



57 



8 



66.6 



72.3 



68.0 



62 



3 



51 



7 



39 



7 



27.0 



20 



25 



I 



29.4 



36.5 



45.8 



57 



5 



67.1 



72.4 



67.9 



61 



9 



50 



3 



38 



7 



26.8 



21 



26 



4 



30-7 



36-4 



47.0 



57 



3 



67.2 



72.4 



68.0 



60 



6 



49 



I 



38 



3 



26.6 



22 



26 



I 



31-3 



36-1 



47-9 



57 





67.4 



72.3 



68.2 



58 



9 



48 



7 



38 



3 



26.3 



1 23 



25 



9 



30.8 



36.0 



48.2 



57 



5 



67.6 



72.2 



68.2 



57 



9 



48 



6 



37 



9 



26.3 





26 



5 



29.7 



36-5 



48-3 



57 



8 



67.9 



72.1 



68.2 



57 



6 



48 







36 



7 



26.5 



25 



27 



4 



28-9 



37-3 



48. 6 



58 







68.2 



71.9 



67.8 



57 



.6 



47 



4 



35 



I 



26,7 



26 



27 



9 



28.8 



38.1 



49.1 



58 



3 



68.6 



71.6 



67.3 



57 



5 



45 



9 



34 







26.6 



27 



27 



7 



29-3 



38.8 



49-5 



58 



8 



69.1 



71.2 



67.0 



57 



2 



45 



5 



33 



3 



26.5 



28 



27 



J 



30-0 



39-2 



49.8 



59 







69.5 



70.9 



66.7 



56 



7 



45 



8 



33 



2 



26.7 



29 



27 



5 



30-3 



39-5 



50-3 



58 



6 



69.9 



70,7 



66.6 



56 



2 



46 



I 



33 



3 



26.9 



30 



27 



3 





39-9 



50.9 



58 







69.9 



70.7 



66.6 



56 



I 



46 



I 



33 



6 



27.1 



31 



26.6 





40-3 





58.1 





70.7 



66.5 





45-8 





27-3 











Ne-w I 



laven, Conn 





















[Conn. Acac 



. vol. i, part 1, 18 



56.] 











Resu 



ting anni 



al fluctua 



tion from 



a series of 86 yea 



rs of observations 



jetween 



778 and 



1865, or 



mean temperature j 



of every 



day deri 



ved from 



computat 



on by Bessel's per 



iodic function, 















7' = 49°- 



II -\- 22° 



92 sin (fl 



4- 263° 3SO + 



=.29 sin (29 + 345 



°240 + 



o°.45 sii 



(39 + 229° 50') 









+ o°.c 



32 sin (49 



+ 150°) + °°-38 



sin (59 +54° 31' 



)— o.oS 



cos 69, where 6 counts from 



Jan. 15. 



i 



27.4 



26,4 



31. 1 



41.8 



52.1 



62.8 



70.5 



71.9 



67.4 



56.5 



45.5 



34-6 



2 



27.3 



26 



5 



31-4 



42 



I 



52 



5 



63.1 



70.6 



71 



9 



67.1 



56 



I 



45.2 



34 



3 



3 



27.2 



26 



5 



3I-7 



42 



5 



52 



S 



63.4 



70.8 



71 



8 



66.8 



55 



7 



44.8 



33 



9 



4 



27.1 



26 



5 



32.0 



42 



9 



53 



I 



63.8 



70.9 



71 



7 



66.5 



55 



3 



44.5 



33 



6 



5 



27.0 



26 



7 



32-3 



43 





53 



4 



64.1 



71.0 



71 



7 



66.2 



55 







44.1 



33 



3 



6 



26.9 



26 



8 



32.6 



43 



6 



53 



8 



64.4 



71. 1 



71 



6 



65-9 



54 



6 



43.8 



32 



9 



7 



26.8 



26 



9 



32.9 



43 



9 



54 



I 



64.7 



71.2 



71 



5 



65.6 



54 



3 



43.4 



32 



6 



8 



26.7 



27 







33-2 



44 



3 



54 



5 



65.1 



71.3 



71 



5 



65.3 



53 



9 



43.1 



32 



3 



9 



26.6 



27 



I 



33-6 



44 



6 



54 



8 



65.4 



71.4 



71 



4 



65.0 



53 



5 



42.7 



32 







10 



26.6 



27 



2 



33-9 



45 







55 



2 



65.7 



71.5 



71 



3 



64.6 



53 



2 



42.3 



3' 



7 



II 



26.5 



27 



3 



34.2 



45 



3 



55 



5 



66.0 



71.6 



71 



2 



64-3 



52 



S 



42.0 



31 



4 



12 



26.5 



27 



4 



34.6 



45 



7 



55 



9 



66.2 



71.7 



71 



I 



64.0 



52 



5 



41-6 



31 



I 



13 



26.4 



27 



6 



34.9 



46 







56 



2 



66.5 



71-7 



71 







63.6 



52 



I 



41.3 



30 



9 



14 



26.4 



27 



7 



35-3 



46 



4 



56 



6 



66.8 



71.8 



70 



9 



63-3 



51 



8 



40.9 



30 



6 



15 



26.3 



27 



9 



35.5 



46 



7 



56 



9 



67.1 



71.8 



70 



8 



62.9 



51 



4 



40.5 



30 



3 



16 



26.3 



28 







36.0 



47 



I 



57 



3 



67.3 



71.9 



70 



6 



62.5 



51 



I 



40.2 



30 



I 



17 



26.3 



28 



2 



36.3 



47 



4 



57 



6 



67.6 



71.9 



70 



5 



62.1 



50 



7 



39.8 



29 



8 



18 



26.3 



28 



4 



36.7 



47 



8 



58 







67. 8 



72.0 



70 



3 



61.8 



50 



4 



39.4 



29 



6 



19 



26.3 



28 



6 



37-1 



48 



I 



58 



3 



68.1 



72.0 



70 



2 



61.4 



50 







39.1 



29 



4 



20 



26.2 



28 



8 



37-4 



48 



4 



58 



7 



68.3 



72.0 



70 







61.0 



49 



7 



38.7 



29 



2 



21 



26.2 



29 







37.8 



4S 



7 



59 







68.5 



72.1 



69 



8 



60.6 



49 



3 



38.3 



29 







22 



26.2 



29 



2 



38.2 



49 



I 



59 



4 



68.8 



72.1 



69 



6 



60.2 



49 







38.0 



28 



8 



23 



26.3 



29 



5 



38.5 



49 



4 



59 



S 



69.0 



72.1 



69 



5 



59-8 



48 



6 



37.6 



28 



6 



24 



26.3 



29 



7 



38.9 



49 



7 



60 



I 



69.2 



72.1 



69 



3 



59-4 



48 



3 



37-2 



28 



4 



25 



26.3 



29 



9 



39-3 



50 



I 



60 



4 



69.4 



72.1 



69 



I 



59-0 



47 



9 



36.S 



28 



2 



26 



26.3 



30 



2 



39-6 



50 



4 



60 



8 



69.6 



72.1 



68 



9 



5S.6 



47 



6 



36.5 



28 



I 



27 



26.3 



30 



5 



40.0 



50 



7 



61 



I 



69.8 



72.1 



68 



6 



58.1 



47 



2 



36.1 



27 



9 



28 



26.3 



30 



8 



40.4 



51 



I 



61 



4 



70.0 



72.0 



68 



4 



57-7 



46 



9 



35-8 



27 



8 



29 



26.4 





40.7 



51 



4 



61 



8 



70.1 



72.0 



58 



2 



57-3 



46 



6 



35-4 



27 



7 



30 



26.4 





41. 1 



51 



8 



62 



I 



70.3. 



72.0 



67 



9 



56-9 



46 



2 



35-0 



27 



6 



31 



26.4 





41.4 





62.5 





71.9 



67.7 





45-9 





27.5 j 



