i re NL LS <7) re ce Erin ? 
TEESE Es A AMOR AC 
= aie: 5 ete bt jj 
4 \ : i 8, * » Ne nih cee eth 4 oe er 
A a ie, alien La pe 
ES ed dak 
‘SN 
vearly variation of the temperature is concerned, a quadratic influence — 
of the latter and a half-yearly inequality are completely gein 8 
3. For the rate of the clock during the period 1899—1902 I~ 
EE 
derived in the first place the formula: he 4 je 
D. R. = — 0.169 + 0*.0140 (4 — 760). ee 
— 05.0253 (¢ — 10°) + 000074 (£ — 10°). aa 
| on 
T — May 3 wan 
4+ 05.0465 cos 22 oe EERE 
505 oe 
, 
secondly the formula: 
D. BR. = — 05.157 + 05.0140 (h — 760). E 
— 050220 (£ — 10°) + Suppl.inequal os. ER 
The supplementary inequality in the second formula was an 
sented by a curve. Yet it can as well be represented by a yearly — a 4 
and a half-vearly term. We then find: Ln 
IS aes 5 L 05,0471 5 T— Apr. 29 
MUD DE. ANNE as 08 450 ————_<_$—_———_— 
tp} neq Ul zin ry COS ed 365 
Dn arts a 
Wet RG cde Mey meee oe ID} ae 
365 
From the term depending on the square of the temperature found — 
by the first method of calculation and from the yearly variation of — 
the temperature in the clock-case, which is approximately represented by 
T— Moy 4, 
365 
we derive for the half-yearly term ; Ooms 
2 T — May 4 
— 05.0158 COS Ax aS Soho 
365 
= + 11°.6 + 6°.54 sin 2a 
which is in sufficient agreement. 
The two formulae must however give different results, as soon as 
the accidental variations of the temperature become of importance, 
and therefore it was of interest to compare the rates during short — 
periods with either. 
4. Hence two comparisons were made for the three years 1899 
May 3—1902 May 3. ?) 
T— June 9 
365 ; 
*) In this and the following calculations the supplementary inequality for for-- 
mula If was read from the curve. 
1) For the next term we find: + 00.55 sin 4= 
F te he 
te Se eal) 2 ae 
