174 J. D. Everett on Reducing Observations of Temperature. 
second side destroy one another, except those which contain the 
constant we are seeking, and the sum of these will be = 5 times 
the constant, eevee when the constant is P, in the ease wi 
ich the sum will be mP,,. When there are 12 
given ed oe s process resolves itself into that described in 
my former article,’ (this Journal, [2], xxxv, 17), supplemented 
by the following formule 
Gr =k, tall —k,)+s,(k, 5 
Qs Albis) tally habe 
ia? —K, +K.4-K, —~K,~K,— 
The monthly meahs at ae Se from the table in 
Professor Loomis’ “ Remarks,” reckoning the 31st of Januaky 
and ist of March as part of February, a 
366 386 41:4 46:2 52°9 59°0 61°8 ee 565 49°9 43°2 393 
These are exactly expressed by the formula, 
y=48.87 4-12-44 sin (2-4+262° 31')+-S4sin (22-4+57° 44’)+-18 sin (32-+838° 12’) 
26 sin (42-+-258° 26’)+-20 sin (52-+252° 29’)4-18 sin (62x+270°), 
where « is 0° for January, 30° for February, 60° for March, 
and so on. 
Here ¢, is the constant 48°87. 
The values of ¢,, for the 12 months in order, are 
12°33 —11:49 —7°57 —1-62 44-76 ‘be eS ihe 83 111-49 +757 
+162 4:76 — 
The values of t, are a 
eT $74 $08 — 71 — 74 —-03 $71 4.74 4-03 —-71 — 74 08 
These values, it will be observed, repeat themselves after the first ae 
six; and the sum of any consecutive six is 0. 4 
The values of ¢, ar 
— OT 417 +07 — OLA 07 — 17-07 4-17 4-07 = 
which Lid or themselves after the first four, or go through their : 
cycle third of a year. Also the sum of any consecutive — ce 
ur is Te ae 
The values of ¢, are = 
—'24 406 418 —-24 4-06 4-18 —-24 4-06 4-18 —-24 004 
which go through their a 4 times in the year. Also the — 4 
of any consecutive three is a 
e values of : oe 
—19 +13 —-04 <eHu ~19 +19 —-13 +°04 +06 —15 +" 
2 ™%, £11. 
: 4L — 
Gp. 28, lines 9, 10,11, for eet re E, real Ke sea 
a K. etK,; _ K,—K; 
