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 | 90309.0 | 18061.8 | 16.8 | 16790.4 | 154.6 | 24.5 | 6959.0 | 106.1 |
| 2 | 72247.2 | 10565.4 | .9 | 16635.8 | 153.7 | .6 | 6852.9 | 105.7 |
| 3 | 61681.8 | 7496.4 | 17.0 | 16482.1 | 152.9 | .7 | 6747.2 | 105.3 |
| 4 | 54185.4 | 5814.6 | .1 | 16329.2 | 151.9 | .8 | 6641.9 | 104.9 |
| 5 | 48370.8 | 4750.9 | .2 | 16177.3 | 151.1 | .9 | 6537.0 | 104.4 |
| 6 | 43619.9 | 4016.8 | .3 | 16026.2 | 150.2 | 25.0 | 6432.6 | 104.0 |
| 7 | 39603.1 | 3479.5 | .4 | 15876.0 | 149.3 | .1 | 6328.6 | 103.6 |
| 8 | 36123.6 | 3069.2 | .5 | 15726.7 | 148.5 | .2 | 6225.0 | 103.2 |
| 9 | 33054.4 | 2745.4 | .6 | 15578.2 | 147.6 | .3 | 6121.8 | 102.8 |
| 10.0 | 30309.0 | 259.6 | .7 | 15430.6 | 146.8 | .4 | 6019.0 | 102.4 |
| .1 | 30049.4 | 256.4 | .8 | 15283.8 | 146.0 | .5 | 5916.6 | 102.0 |
| .2 | 29793.0 | 254.3 | .9 | 15137.8 | 145.2 | .6 | 5814.6 | 101.6 |
| .3 | 29538.7 | 251.8 | 18.0 | 14992.6 | 144.3 | .7 | 5713.0 | 101.2 |
| .4 | 29286.9 | 249.3 | .1 | 14848.3 | 143.6 | .8 | 5611.8 | 100.8 |
| .5 | 29037.6 | 247.0 | .2 | 14704.7 | 142.8 | .9 | 5511.0 | 100.6 |
| .6 | 28790.6 | 244.7 | .3 | 14561.9 | 142.0 | 26.0 | 5410.4 | 99.8 |
| .7 | 28545.9 | 242.4 | .4 | 14419.9 | 141.2 | .1 | 5310.6 | 99.7 |
| .8 | 28303.5 | 240.2 | .5 | 14278.7 | 140.5 | .2 | 5210.9 | 99.3 |
| .9 | 28063.3 | 237.9 | .6 | 14138.2 | 139.7 | .3 | 5111.6 | 98.8 |
| 11.0 | 27825.4 | 235.8 | .7 | 13998.5 | 139.0 | .4 | 5012.8 | 98.6 |
| .1 | 27589.6 | 233.7 | .8 | 13859.5 | 138.2 | .5 | 4914.2 | 98.1 |
| .2 | 27355.9 | 231.6 | .9 | 13721.3 | 137.5 | .6 | 4816.1 | 97.8 |
| .3 | 27124.3 | 229.6 | 19.0 | 13583.8 | 136.8 | .7 | 4718.3 | 97.4 |
| .4 | 26894.7 | 227.6 | .1 | 13447.0 | 136.1 | .8 | 4620.9 | 97.0 |
| .5 | 26667.1 | 225.6 | .2 | 13310.9 | 135.3 | .9 | 4523.9 | 96.7 |
| .6 | 26441.5 | 223.7 | .3 | 13175.6 | 134.5 | 27.0 | 4427.2 | 96.4 |
| .7 | 26217.8 | 221.7 | .4 | 13041.1 | 134.2 | .1 | 4330.8 | 95.9 |
| .8 | 25996.1 | 220.0 | .5 | 12906.9 | 133.3 | .2 | 4234.9 | 95.7 |
| .9 | 25776.1 | 218.0 | .6 | 12773.6 | 132.6 | .3 | 4139.2 | 95.2 |
| 12.0 | 25558.1 | 216.3 | .7 | 12641.0 | 131.9 | .4 | 4044.0 | 95.0 |
| .1 | 25341.8 | 214.4 | .8 | 12509.1 | 131.3 | .5 | 3949.0 | 94.5 |
| .2 | 25127.4 | 212.7 | .9 | 12377.8 | 130.6 | .6 | 3854.5 | 94.3 |
| .3 | 24914.7 | 211.0 | 20.0 | 12247.2 | 130.0 | .7 | 3760.2 | 93.9 |
| .4 | 24703.7 | 209.3 | .1 | 12117.2 | 129.3 | .8 | 3666.3 | 93.6 |
| .5 | 24494.4 | 207.7 | .2 | 11987.9 | 128.7 | .9 | 3572.7 | 93.2 |
| .6 | 24286.7 | 206.0 | .3 | 11859.2 | 128.0 | 28.0 | 3479.5 | 92.9 |
| .7 | 24080.7 | 204.3 | .4 | 11731.2 | 127.4 | .1 | 3386.6 | 92.6 |
| .8 | 23876.4 | 202.8 | .5 | 11603.8 | 126.8 | .2 | 3294.0 | 92.2 |
| .9 | 23673.6 | 201.2 | .6 | 11477.0 | 126.2 | .3 | 3201.8 | 91.9 |
| 13.0 | 23472.4 | 199.7 | .7 | 11350.8 | 125.6 | .4 | 3109.9 | 91.6 |
| .1 | 23272.7 | 198.2 | .8 | 11225.2 | 125.0 | .5 | 3018.3 | 91.3 |
| .2 | 23074.5 | 196.6 | .9 | 11100.2 | 124.4 | .6 | 2927.0 | 90.9 |
| .3 | 22877.9 | 195.2 | 21.0 | 10975.8 | 123.7 | .7 | 2836.1 | 90.7 |
| .4 | 22682.7 | 193.7 | .1 | 10852.1 | 123.3 | .8 | 2745.4 | 90.3 |
| .5 | 22489.0 | 192.4 | .2 | 10728.8 | 122.6 | .9 | 2655.1 | 90.0 |
| .6 | 22296.6 | 191.0 | .3 | 10606.2 | 122.0 | 29.0 | 2565.1 | 89.7 |
| .7 | 22105.6 | 189.4 | .4 | 10484.2 | 121.5 | .1 | 2475.4 | 89.4 |
| .8 | 21916.2 | 188.1 | .5 | 10362.7 | 120.9 | .2 | 2386.0 | 89.1 |
| .9 | 21728.1 | 186.8 | .6 | 10241.8 | 120.4 | .3 | 2296.9 | 88.7 |
| 14.0 | 21541.3 | 185.5 | .7 | 10121.4 | 119.8 | .4 | 2208.2 | 88.5 |
| .1 | 21355.8 | 184.1 | .8 | 10001.6 | 119.2 | .5 | 2119.7 | 88.2 |
| .2 | 21171.7 | 182.9 | .9 | 9882.4 | 118.8 | .6 | 2031.5 | 87.9 |
| .3 | 20988.8 | 181.6 | 22.0 | 9763.6 | 118.1 | .7 | 1943.6 | 87.6 |
| .4 | 20807.2 | 180.3 | .1 | 9645.5 | 117.7 | .8 | 1856.0 | 87.3 |
| .5 | 20626.9 | 179.0 | .2 | 9527.8 | 117.1 | .9 | 1768.7 | 87.0 |
| .6 | 20447.9 | 178.0 | .3 | 9410.7 | 116.6 | 30.0 | 1681.7 | 86.7 |
| .7 | 20269.9 | 176.7 | .4 | 9294.1 | 116.0 | .1 | 1595.0 | 86.4 |
| .8 | 20093.2 | 175.4 | .5 | 9178.1 | 115.6 | .2 | 1508.6 | 86.2 |
| .9 | 19917.8 | 174.3 | .6 | 9062.5 | 115.1 | .3 | 1422.4 | 85.8 |
| 15.0 | 19743.5 | 173.1 | .7 | 8947.4 | 114.5 | .4 | 1236.6 | 85.6 |
| .1 | 19570.4 | 172.0 | .8 | 8832.9 | 114.0 | .5 | 1251.0 | 85.3 |
| .2 | 19398.4 | 170.9 | .9 | 8718.9 | 113.6 | .6 | 1165.7 | 85.0 |
| .3 | 19227.5 | 169.8 | 23.0 | 8605.3 | 113.0 | .7 | 1080.7 | 84.7 |
| .4 | 19057.7 | 168.6 | .1 | 8492.3 | 112.6 | .8 | 996.0 | 84.5 |
| .5 | 18889.1 | 167.6 | .2 | 8379.7 | 112.1 | .9 | 911.5 | 84.2 |
| .6 | 18721.5 | 166.5 | .3 | 8267.6 | 111.6 | 31.0 | 827.3 | 83.9 |
| .7 | 18555.0 | 165.4 | .4 | 8156.0 | 111.1 | .1 | 743.4 | 83.7 |
| .8 | 18389.6 | 164.1 | .5 | 8044.9 | 110.6 | .2 | 659.7 | 83.4 |
| .9 | 18225.5 | 163.7 | .6 | 7934.3 | 110.2 | .3 | 576.3 | 83.1 |
| 16.0 | 18061.8 | 162.4 | .7 | 7824.1 | 109.7 | .4 | 493.2 | 82.8 |
| .1 | 17899.4 | 161.3 | .8 | 7714.4 | 109.3 | 31.5 | 410.4 | 82.6 |
| .2 | 17738.1 | 160.4 | .9 | 7605.1 | 108.8 | .6 | 327.8 | 82.4 |
| .3 | 17577.7 | 159.3 | 24.0 | 7496.3 | 108.3 | .7 | 245.4 | 82.0 |
| .4 | 17418.4 | 158.4 | .1 | 7388.0 | 107.9 | .8 | 163.4 | 81.8 |
| .5 | 17260.0 | 157.5 | .2 | 7280.1 | 107.5 | .9 | 81.6 | 81.6 |
| .6 | 17102.5 | 156.5 | .3 | 7172.6 | 107.0 | 32.0 | 00.0 | |
| .7 | 16946.0 | 155.6 | .4 | 7065.6 | 106.6 |
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.