Results at 4'
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Contraction
Contraction
Percent-
Contrac- tion
calculated i'rom the
Difference.
calculated
from the
Difference.
age.
observed.
4 per cent.
21 per cent.
origin.
origin.
18-44
3702
3738
-36
3758
-56
19-37
3881
3924
-43
3912
-31
20-68
4022
4168
-164
4105
-73
21-43
4181
4346
-165
4222
-41
21-95
4291
4440
-149
4302
-11
Results at 14'2.
19-37
3685
3706
-21
3712
-27
19-72
3722
3767
-43
3750
-34
20-24
3803
3876
-73
3834
-31
20-68
3849
3959
-110
3900
-51
21-38
3952
4096
-14*
4008
-56
21-98
4087
4206
-119
4099
-12
Results at 24-2.
18 -44
3360
3389
-29
3454
-94
19-37
3486
3541
-51
3589
-103
20-24
3688
3717
-29
3715
-27
20-68
3724
3796
-74
3779
-55
21-43
3822
3932
-110
3887
55
21-98
3959 4032
-63
3967
-8
22-37
4016
4103
-89
4024
It will be evident that in all cases the results up to 19'37 lie upon the straight line drawn from the 4 per cent, origin, and on the other hand those 21-98 upwards lie upon the straight line from the 21 per cent, origin, while the intermediate values lie below both lines. As it would appear from a consideration of the examples given above that the observations in the vicinity of critical points may be represented in certain cases as on either, and in others as on neither of the lines meeting at those points, then such points may be regarded as in a certain sense ideal, and the phenomena as continuous. Some such possibility might tend to overcome the mental difficulty experienced by certain writers as regards the manifestation of sudden irregularities, and throughout the whole course of events from commencement to conclusion one is dealing with combined water and free water, with combined acid and free acid, and in the more dilute solutions with integral or undecomposed molecules as also with their respective ions.