The 1st Column shews the Quicksilver in the barometric Tube standing at each Inch from 1 to 10, and at each Tenth from 10 to 32 Inches.

The 2d Column shews the Height of the barometric Tube, above the imaginary Level at 32 Inches,—with the Temperature of 31.24;—in Feet and Tenths, answering to Inches and Tenths of the Barometer in the first Column.

The 3d Column shews the Height in Feet and Tenths, answering to a Tenth of an Inch on the Barometer, being the difference between each two adjoining Heights in the 2d Column.

Inch.Feet.Differ-
ence.
Inch.Feet.Diff.Inch.Feet.Diff.
1 90309.018061.816.816790.4154.624.56959.0106.1
2 72247.210565.4.916635.8153.7.66852.9105.7
3 61681.87496.417.016482.1152.9.76747.2105.3
4 54185.45814.6.116329.2151.9.86641.9104.9
5 48370.84750.9.216177.3151.1.96537.0104.4
6 43619.94016.8.316026.2150.225.06432.6104.0
7 39603.13479.5.415876.0149.3.16328.6103.6
8 36123.63069.2.515726.7148.5.26225.0103.2
9 33054.42745.4.615578.2147.6.36121.8102.8
10.030309.0259.6.715430.6146.8.46019.0102.4
.130049.4256.4.815283.8146.0.55916.6102.0
.229793.0254.3.915137.8145.2.65814.6101.6
.329538.7251.818.014992.6144.3.75713.0101.2
.429286.9249.3.114848.3143.6.85611.8100.8
.529037.6247.0.214704.7142.8.95511.0100.6
.628790.6244.7.314561.9142.026.05410.499.8
.728545.9242.4.414419.9141.2.15310.699.7
.828303.5240.2.514278.7140.5.25210.999.3
.928063.3237.9.614138.2139.7.35111.698.8
11.027825.4235.8.713998.5139.0.45012.898.6
.127589.6233.7.813859.5138.2.54914.298.1
.227355.9231.6.913721.3137.5.64816.197.8
.327124.3229.619.013583.8136.8.74718.397.4
.426894.7227.6.113447.0136.1.84620.997.0
.526667.1225.6.213310.9135.3.94523.996.7
.626441.5223.7.313175.6134.527.04427.296.4
.726217.8221.7.413041.1134.2.14330.895.9
.825996.1220.0.512906.9133.3.24234.995.7
.925776.1218.0.612773.6132.6.34139.295.2
12.025558.1216.3.712641.0131.9.44044.095.0
.125341.8214.4.812509.1131.3.53949.094.5
.225127.4212.7.912377.8130.6.63854.594.3
.324914.7211.020.012247.2130.0.73760.293.9
.424703.7209.3.112117.2129.3.83666.393.6
.524494.4207.7.211987.9128.7.93572.793.2
.624286.7206.0.311859.2128.028.03479.592.9
.724080.7204.3.411731.2127.4.13386.692.6
.823876.4202.8.511603.8126.8.23294.092.2
.923673.6201.2.611477.0126.2.33201.891.9
13.023472.4199.7.711350.8125.6.43109.991.6
.123272.7198.2.811225.2125.0.53018.391.3
.223074.5196.6.911100.2124.4.62927.090.9
.322877.9195.221.010975.8123.7.72836.190.7
.422682.7193.7.110852.1123.3.82745.490.3
.522489.0192.4.210728.8122.6.92655.190.0
.622296.6191.0.310606.2122.029.02565.189.7
.722105.6189.4.410484.2121.5.12475.489.4
.821916.2188.1.510362.7120.9.22386.089.1
.921728.1186.8.610241.8120.4.32296.988.7
14.021541.3185.5.710121.4119.8.42208.288.5
.121355.8184.1.810001.6119.2.52119.788.2
.221171.7182.9.99882.4118.8.62031.587.9
.320988.8181.622.09763.6118.1.71943.687.6
.420807.2180.3.19645.5117.7.81856.087.3
.520626.9179.0.29527.8117.1.91768.787.0
.620447.9178.0.39410.7116.630.01681.786.7
.720269.9176.7.49294.1116.0.11595.086.4
.820093.2175.4.59178.1115.6.21508.686.2
.919917.8174.3.69062.5115.1.31422.485.8
15.019743.5173.1.78947.4114.5.41236.685.6
.119570.4172.0.88832.9114.0.51251.085.3
.219398.4170.9.98718.9113.6.61165.785.0
.319227.5169.823.08605.3113.0.71080.784.7
.419057.7168.6.18492.3112.6.8996.084.5
.518889.1167.6.28379.7112.1.9911.584.2
.618721.5166.5.38267.6111.631.0827.383.9
.718555.0165.4.48156.0111.1.1743.483.7
.818389.6164.1.58044.9110.6.2659.783.4
.918225.5163.7.67934.3110.2.3576.383.1
16.018061.8162.4.77824.1109.7.4493.282.8
.117899.4161.3.87714.4109.331.5410.482.6
.217738.1160.4.97605.1108.8.6327.882.4
.317577.7159.324.07496.3108.3.7245.482.0
.417418.4158.4.17388.0107.9.8163.481.8
.517260.0157.5.27280.1107.5.981.681.6
.617102.5156.5.37172.6107.032.000.0
.716946.0155.6.47065.6106.6

372. Now apply the third Table, or Table for Tenths, if necessary; including two more Steps, viz. the 9th and 10th: which, being useless, in the first Example, are, for the present, omitted.

373. An Explanation of the third Table, or Table for Tenths, is, however, for the Sake of Order, here subjoined.⁠[122]

THE THIRD TABLE, OR TABLE FOR TENTHS:

Serving to compleat the 2d Table, on Expansion of the Barometer, with the Temperature of 31°.24.

1. The upper horizontal Figures shew the Number of Parts into which the Tenth of an Inch has been divided.

2. The Figures in the left vertical Column express the Height in feet, (above the imaginary Level, at 32 Inches of the Barometer,) or Expansion corresponding to a single Tenth of an Inch of Quicksilver.

3. The feet in the Place of Meeting are called tenths: thus, 90 Feet are 9 Tenths of 100 Feet.

Feet. Parts into which the Tenth of an Inch is divided.
1⁄10 2⁄10 3⁄10 4⁄10 5⁄10 6⁄10 7⁄10 8⁄10 9⁄10

81

8

16

24

32

40

49

57

65

73

82

8

16

25

33

41

49

57

66

74

83

8

17

25

33

41

50

58

66

75

84

8

17

25

34

42

50

59

67

76

85

8

17

25

34

42

51

59

68

76

86

9

17

26

34

43

52

60

69

77

87

9

17

26

35

43

52

61

70

78

88

9

18

26

35

44

53

62

70

79

89

9

18

27

36

44

53

62

71

80

90

9

18

27

36

45

54

63

72

81

91

9

18

27

36

45

55

64

73

82

92

9

18

28

37

46

55

64

74

83

93

9

19

28

37

46

56

65

74

84

94

9

19

28

38

47

56

66

75

85

95

9

19

28

38

47

57

66

76

85

96

10

19

29

38

48

58

67

77

86

97

10

19

29

39

48

58

68

78

87

98

10

20

29

39

49

59

69

78

88

99

10

20

30

40

49

59

69

79

89

100

10

20

30

40

50

60

70

80

90

101

10

20

30

40

50

61

71

81

91

102

10

20

31

41

51

61

71

82

92

103

10

21

31

41

51

62

72

82

93

104

10

21

31

42

52

62

73

83

94

105

10

21

31

42

52

63

73

84

94

106

11

21

32

42

53

64

74

85

95

107

11

21

32

43

53

64

75

86

96

108

11

22

32

43

54

65

76

86

97

109

11

22

33

44

54

65

76

87

98

110

11

22

33

44

55

66

77

88

99

111

11

22

33

44

55

67

78

89

100

112

11

22

34

45

56

67

78

90

101

113

11

23

34

45

56

68

79

90

102

114

11

23

34

46

57

68

80

91

103

115

11

23

34

46

57

69

80

92

103

116

12

23

35

46

58

70

81

93

104

117

12

23

35

47

58

70

82

94

105

118

12

24

35

47

59

71

83

94

106

119

12

24

36

48

59

71

83

95

107

120

12

24

36

48

60

72

84

96

108

121

12

24

36

48

60

73

85

97

109

122

12

24

37

49

61

73

85

98

110

123

12

25

37

49

61

74

86

98

111

124

12

25

37

50

62

74

87

99

112

125

12

25

37

50

62

75

87

100

112

126

13

25

38

50

63

76

88

101

113

127

13

25

38

51

63

76

89

102

114

128

13

26

38

51

64

77

90

102

113

129

13

26

39

52

64

77

90

103

116

130

13

26

39

52

65

78

91

104

117

END OF THE SECOND STAGE.

374. The Ends proposed in the third and last Stage of the Work, are, first, to add the general Temperatures of the Air, or detached Air-Thermometers, at each Place of Observation above and below, into one Sum.

Secondly, to divide that Sum: each Moiety of which is called the mean Temperature of the Air.