350 BIOT ON THE EMPLOYMENT OF POLARIZED LIGHT ~ 
Ponderable Density Density of 
+. Observed , ‘ y 
prpaee Centesimal| density, derived disaggre- 
of solid entesim from the ted su 
gai 
sugar con-| tempera- pete first solu- | Excess of |” deduced 
Desienations of the tained in ture at tion by for- observed | hypotheti- 
pulmciareaisidered: | fie unity | Which the being mula (3.), | density over) cally from 
of weight |density has on the hy-| calculated |formula(2.) 
of the | been ob- | taken for pothesis of] density. | for each 
solution, | served, "S. : a simple solution. 
& a mixture, 3}. 
Ménm., t. xiii. p. 118 .| 0-65064 423-75 ABIAAL |) vn cpues oh Sisspeee 157472 
050055 |... 123109 | 1:22352 |+0:00757 | 1:6003 
O:24999 N= Aire 110525 | 1:10056 |+0:00469 | 1-61618 
- aetaaag al } 0571481) 418-00 | 1-26933 | 1-26353 |4.0-00580 | 159052 
The numbers in the last column but one show that the ob- 
served density was always a little greater than the deduced den- 
sity, as if a slight contraction had taken place when water was 
added to the solution most charged with sugar. The small in- 
equalities of the numbers contained in the last column indicate 
the same fact, reproducing it under another form. These slight 
variations of densities agree therefore with those of the cha- 
a (P+E) 
racteristic function ar ae 
, not only in their existence, but even 
in their direction. 
42. I have repeated the same experiments with syrup of cane- 
sugar, which I successively diluted with water in known pro- 
portions. Then the density 8 of each mixed system, calculated 
in the hypothesis of a simple mixture, is deduced directly from 
the equation (2.), § 39, by making 8, = 1, and designating by 3, 
the density of the primitive syrup observed without the addition 
of water. This formula, thus specialized, gives therefore 
8 
G eee . 7 . ° ° e 2. 
e, + (1—s) 3, 2) 
The following table presents the values of the densities 8 thus 
calculated, and compared with the observations in the following 
experiments. All the densities were observed at the same tem- 
perature, 13° centigrade. 
