Page:On the Influence of Carbonic Acid in the Air upon the Temperature of the Ground.pdf/9

In this table the angle of deviation is taken as head-title. After ${\text{K}}$ and ${\text{W}}$ stand the quantities of carbonic acid and water-vapour traversed by the ray in the above-mentioned units. Under this comes after $i$ obs. the intensity of radiation (reduced) observed by Langley on the bolometer, and after this the corresponding value $i$ calc., calculated by means of the absorption-coefficients given in Table II. below. ${\text{G}}$ is the "weight" given to the corresponding $i$ obs. in the calculation, using the method of least squares.

For the absorption-coefficients, calculated in this manner, I give the following table. (The common logarithms of the absorption-coefficients are tabulated.)

Table II. – Absorption-Coefficients of Carbonic Acid ($x$) and Aqueous Vapour ($y$).

Angle of Deviation.

$\log x$.

$\log y$.

${\text{A}}$.

40°.00

$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$	+0.0286	$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$
	+±0.0000

$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$	+0.1506	$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$
	+-0.1455

27.2

39.45

+-0.0296

+-0.1105

34.5

39.30

+-0.0559

+-0.0952

29.6

39.15

+-0.1070

+-0.0862

26.4

39.00

+-0.3412

+-0.0068

27.5

38.45

+-0.2035

+-0.3114

24.5

38.30

+-0.2438

+-0.2362

13.5

38.15

+-0.3760

+-0.1933

21.4

38.00

+-0.1877

+-0.3198

44.4

37.45

+-0.0931

+-0.1576

59.0

37.30

+-0.0280

+-0.1661

70.0

37.15

+-0.0416

+-0.2036

75.5

37.00

+-0.2067

+-0.0484

62.9

36.45

$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$	+-0.2465	$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$
	+-2.2466

$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$	+0.0008	$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$
	+-0.0000

56.4

36.30

+-0.2571

+-0.0507

51.4

36.15

$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$	+-0.1708	$\scriptstyle {\left\{{\begin{matrix}\ \\\ \end{matrix}}\right.}$
	+-0.1652

$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$	+0.0065	$\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$
	+-0.0000

39.1

36.00

+-0.0940

+-0.1184

37.9

35.45

+-0.1992

+-0.0628

36.3

35.30

+-0.1742

+-0.1408

32.7

35.15

+-0.0188

+-0.1817

29.8

35.00

+-0.0891

+-0.1444

21.9

The signification of these figures may be illustrated by an example. If a ray of heat, corresponding to the angle of deviation 39°.45, passes through the unit of carbonic acid, it de-