1817.) Dilatation of Fluids at all Temperatures. 365 
' oad cs ay 
S = 5 |. Be 
S Ss Be = 2 = : z 
= = es s 3 e 32 
: er ig eg ag g oe) SE 
> = ‘3 bm cs v n E ir) = DQ = o J 
oy s | eel ue | ee | eT ey ee og 
ei] = se | $2 | 38 5 ef | os 3 
= ‘s) 3 ie = Pa fo) fo) > 
80 80 80 80 80 80 80 80 80 
75 746 14:7 143 TA 1 138 73°2 11°6 710 
70 69°4 69°5 -68'8 68°4 67'8 66°7 62°9 62:0 
65 64-4 64°3 63°3 62°6 61°9 60°6 55°2 53°5 
60 59'3 59°1 58°5 57°'1 56°2 54°8 ATT 458 
55 54°2 53°9 533 51°6 50°7 A9*1 40'6 33°5 
50 49°2 48°8 48°3 46°6 45°3 43'6 34-4 32:0 
45 44:0 43°6 A3"4 A412 40:2 38°4 28-4 26°71 
40 39-2 38°6 38°4 36:3 35°1 33°3 23°0 20°5 
35 34°2 33°6 33°5 31:3 30°3 28°4 18:0 15-9 
30 29°3 28°7 28'6 26°5 25°6 23°9 13°5 11-9 
25 24°3 23°8 23°3 21°9 21°0 19°4 9-4 13 
20 19°3 18°9 19-0 17°8 16°5 153 6°1 A} 
15 14-4 4°'1 14:2 12°8 12-2 lll 3A 16 
10 9°5 9°3 94 8-4 19 TI 1°5 0-2 
5 AT 46 , 47 42 39 3°4 1:0 —0°4 
0 0-0 00 0:0 0:0 0:0 0-0 * 0-0 00 
Now if we represent by D, the number of degrees indicated by 
each of these thermometers, when T is the number indicated by 
the mercurial thermometer divided into 80 parts, we may represent 
all these.experiments by the general formula 
De= AT + BT! + CT 
A, B, C, being arbitrary constant quantities, different for each 
«liquid, the values of which for the liquids observed by Deluc are 
given in the following table :— 
Values of the coefficients. 
Liquids, 
A B Cc 
BRBTCUIVE secur ccads cage ncad.| + 2ODO00D + 0°0000000 + 0°000000000 
Lye SSR a a ae + 0°950667 + 0°0007500 —0-00000! 667 
Essential oil of camomile ....| +0°920442 +0°0013056 —0°'000003889 
Essential oil of thyme ........ + 0°949335 —0-0001667 + 0:000010000 
Water saturated with salt ....| +0°820006 +0°0020275 + 0:000002775 
Strong alcohol.............06- + 0°784000 + 00020800 + 0°000007750 
One part alcohol and one water| +0°705333 + 0:0027500 +0°00001166T 
One partalcohol and three wat.| +0°010333 + 0°0155277 — 0000039444 
TE SES ery + 0°160000 + 0°0185000 —0°000050000 
To show the agreement of these results with observations, I have 
calculated the value of D, by the formula for each of the liquids 
