381. Having added the respective Expansions together, thus;
| with 11°, on | 4016.8 | Feet. Tenths. | |||
with 11° |  | 4000 | = | 106.92 | 106.92 |
10 | = | 26.73 | .2673 | ||
6 | = | 160.38 | .16038 | ||
.8 | = | 213.84 | .021384 | ||
————— | |||||
Expansion | 107.369064; | ||||
THE FOURTH TABLE,
shewing the expansion with HEAT, from 1 to 100 degrees, on each THOUSAND FEET in the atmosphere, from 1000 to 9000 feet.
| degrees of the THERMOMETER, from 1 to 50, on farenheit’s scale. | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| 1000 | 2000 | 3000 | 4000 | 5000 | 6000 | 7000 | 8000 | 9000 | |
1 | 2.43 | 4.86 | 7.29 | 9.72 | 12.15 | 14.58 | 17.01 | 19.44 | 21.87 |
2 | 4.86 | 9.72 | 14.58 | 19.44 | 24.30 | 29.16 | 34.02 | 38.88 | 43.74 |
3 | 7.29 | 14.58 | 21.87 | 29.16 | 36.45 | 43.74 | 51.03 | 58.32 | 65.61 |
4 | 9.72 | 19.44 | 29.16 | 38.88 | 48.60 | 58.32 | 68.04 | 77.76 | 87.48 |
5 | 12.15 | 24.30 | 36.45 | 48.60 | 60.75 | 72.90 | 85.05 | 97.20 | 109.35 |
6 | 14.58 | 29.16 | 43.74 | 58.32 | 72.90 | 87.49 | 102.06 | 116.64 | 131.22 |
7 | 17.01 | 34.02 | 51.03 | 68.04 | 85.05 | 102.06 | 119.07 | 136.08 | 153.09 |
8 | 19.44 | 38.88 | 58.32 | 77.76 | 97.20 | 116.64 | 136.08 | 155.52 | 174.96 |
9 | 21.87 | 43.74 | 65.61 | 87.48 | 109.35 | 131.22 | 153.09 | 174.96 | 196.83 |
10 | 24.30 | 48.60 | 72.90 | 97.20 | 121.50 | 145.80 | 170.10 | 194.40 | 218.70 |
11 | 26.73 | 53.46 | 80.19 | 106.92 | 133.65 | 160.38 | 187.11 | 213.84 | 240.57 |
12 | 29.16 | 58.32 | 87.48 | 116.64 | 145.80 | 174.96 | 204.12 | 233.28 | 262.44 |
13 | 31.59 | 63.18 | 94.77 | 126.36 | 157.95 | 189.54 | 221.13 | 252.72 | 284.31 |
14 | 34.02 | 68.04 | 102.06 | 136.08 | 170.10 | 204.12 | 238.14 | 272.16 | 306.18 |
15 | 36.45 | 72.90 | 109.35 | 145.80 | 182.25 | 218.70 | 255.15 | 291.60 | 328.05 |
16 | 38.88 | 77.76 | 116.64 | 155.52 | 194.40 | 233.28 | 272.16 | 311.04 | 349.92 |
17 | 41.31 | 82.62 | 123.93 | 165.24 | 206.55 | 247.86 | 289.17 | 330.48 | 371.79 |
18 | 43.74 | 87.48 | 131.22 | 174.96 | 218.70 | 262.44 | 306.18 | 349.92 | 393.66 |
19 | 46.17 | 92.34 | 138.51 | 184.68 | 230.85 | 277.02 | 323.19 | 369.36 | 415.53 |
20 | 48.60 | 97.20 | 145.80 | 194.40 | 243.00 | 291.60 | 340.20 | 388.80 | 437.40 |
21 | 51.03 | 102.06 | 153.09 | 204.12 | 255.15 | 306.18 | 357.21 | 408.24 | 459.27 |
22 | 53.46 | 106.92 | 160.38 | 213.84 | 267.30 | 320.76 | 374.22 | 427.68 | 481.14 |
23 | 55.89 | 111.78 | 167.67 | 223.56 | 279.45 | 335.34 | 391.23 | 447.12 | 503.01 |
24 | 58.32 | 116.64 | 174.96 | 233.28 | 291.60 | 349.92 | 408.24 | 466.56 | 524.88 |
25 | 60.75 | 121.50 | 182.25 | 243.00 | 303.75 | 364.50 | 425.25 | 486.00 | 546.75 |
26 | 63.18 | 126.36 | 189.54 | 252.72 | 315.90 | 379.08 | 442.26 | 505.44 | 568.62 |
27 | 65.61 | 131.22 | 196.83 | 262.44 | 328.05 | 393.66 | 459.27 | 524.88 | 590.49 |
28 | 68.04 | 136.08 | 204.12 | 272.16 | 340.20 | 408.24 | 476.28 | 544.32 | 612.36 |
29 | 70.47 | 140.94 | 211.41 | 281.88 | 352.35 | 422.82 | 493.29 | 563.76 | 634.23 |
30 | 72.90 | 145.80 | 218.70 | 291.60 | 364.50 | 437.40 | 510.30 | 583.20 | 656.10 |
31 | 75.33 | 150.66 | 225.99 | 301.32 | 376.65 | 451.98 | 527.31 | 602.64 | 677.97 |
32 | 77.76 | 155.52 | 233.28 | 311.04 | 388.80 | 466.56 | 544.32 | 622.08 | 699.84 |
33 | 80.19 | 160.38 | 240.57 | 320.76 | 400.95 | 481.14 | 561.33 | 641.52 | 721.71 |
34 | 82.62 | 165.24 | 247.86 | 330.48 | 413.10 | 495.72 | 578.34 | 660.96 | 743.58 |
35 | 85.05 | 170.10 | 255.15 | 340.20 | 425.25 | 510.30 | 595.35 | 680.40 | 765.45 |
36 | 87.48 | 174.96 | 262.44 | 349.92 | 437.40 | 524.88 | 612.36 | 699.84 | 787.32 |
37 | 89.91 | 179.82 | 269.73 | 359.64 | 449.55 | 539.46 | 629.37 | 719.28 | 809.19 |
38 | 92.34 | 184.68 | 277.02 | 369.36 | 461.70 | 554.04 | 646.38 | 738.72 | 831.06 |
39 | 94.77 | 189.54 | 284.31 | 379.08 | 473.85 | 568.62 | 663.39 | 758.16 | 852.93 |
40 | 97.20 | 194.40 | 291.60 | 388.80 | 486.00 | 583.20 | 680.40 | 777.60 | 874.80 |
41 | 99.63 | 199.26 | 298.89 | 398.52 | 498.15 | 597.78 | 697.41 | 797.04 | 896.67 |
42 | 102.06 | 204.12 | 306.18 | 408.24 | 510.30 | 612.36 | 714.42 | 816.48 | 918.54 |
43 | 104.49 | 208.98 | 313.47 | 417.96 | 522.45 | 626.94 | 731.43 | 835.92 | 940.41 |
44 | 106.92 | 213.84 | 320.76 | 427.68 | 534.60 | 641.52 | 748.44 | 855.36 | 962.28 |
45 | 109.35 | 218.70 | 328.05 | 437.40 | 546.75 | 656.10 | 765.45 | 874.80 | 984.15 |
46 | 111.78 | 223.56 | 335.34 | 447.12 | 558.90 | 670.68 | 782.46 | 894.24 | 1006.02 |
47 | 114.21 | 228.42 | 342.63 | 456.84 | 571.05 | 685.26 | 799.47 | 913.68 | 1027.89 |
48 | 116.64 | 233.28 | 349.92 | 466.56 | 583.20 | 699.84 | 816.48 | 933.12 | 1049.76 |
49 | 119.07 | 238.14 | 357.21 | 476.28 | 595.35 | 714.42 | 833.49 | 952.56 | 1071.63 |
50 | 121.50 | 243.00 | 364.50 | 486.00 | 607.50 | 729.00 | 850.5 | 972.00 | 1093.5 |
51 | 123.93 | 247.86 | 371.79 | 495.72 | 619.65 | 743.58 | 867.51 | 991.44 | 1115.37 |
52 | 126.36 | 252.72 | 379.08 | 505.44 | 631.80 | 758.16 | 884.52 | 1010.88 | 1137.24 |
53 | 128.79 | 257.58 | 386.37 | 515.16 | 643.95 | 772.74 | 901.53 | 1030.32 | 1159.11 |
54 | 131.22 | 262.44 | 393.66 | 524.88 | 656.10 | 787.32 | 918.54 | 1049.76 | 1180.98 |
55 | 133.65 | 267.30 | 400.95 | 534.60 | 668.25 | 801.90 | 935.55 | 1069.20 | 1202.85 |
56 | 136.08 | 272.16 | 408.24 | 544.32 | 680.40 | 816.48 | 952.56 | 1088.64 | 1224.72 |
57 | 138.51 | 277.02 | 415.53 | 554.04 | 692.55 | 831.06 | 969.57 | 1108.08 | 1246.59 |
58 | 140.94 | 281.88 | 422.82 | 563.76 | 704.70 | 845.64 | 986.58 | 1127.52 | 1268.46 |
59 | 143.37 | 286.74 | 430.11 | 573.48 | 716.85 | 860.22 | 1003.59 | 1146.96 | 1290.33 |
60 | 145.80 | 291.60 | 437.40 | 583.20 | 729.00 | 874.80 | 1020.60 | 1166.40 | 1312.20 |
61 | 148.23 | 296.46 | 444.69 | 592.92 | 741.15 | 889.38 | 1037.61 | 1185.84 | 1334.07 |
62 | 150.66 | 301.32 | 451.98 | 602.64 | 743.30 | 903.96 | 1054.62 | 1205.28 | 1355.94 |
63 | 153.09 | 306.18 | 459.27 | 612.36 | 755.45 | 918.54 | 1071.63 | 1224.72 | 1377.81 |
64 | 155.52 | 311.04 | 466.56 | 622.08 | 767.60 | 933.12 | 1088.64 | 1244.16 | 1399.68 |
65 | 157.95 | 315.90 | 473.85 | 631.80 | 779.75 | 947.70 | 1105.65 | 1263.60 | 1421.55 |
66 | 160.38 | 320.76 | 481.14 | 641.52 | 791.90 | 962.28 | 1122.66 | 1283.04 | 1443.42 |
67 | 162.81 | 325.62 | 488.43 | 651.24 | 814.05 | 976.86 | 1139.67 | 1302.48 | 1465.29 |
68 | 165.24 | 330.48 | 495.72 | 660.96 | 826.20 | 991.44 | 1156.68 | 1321.92 | 1487.16 |
69 | 167.67 | 335.34 | 503.01 | 670.68 | 838.35 | 1006.02 | 1173.69 | 1341.36 | 1509.03 |
70 | 170.10 | 340.20 | 510.30 | 680.40 | 850.50 | 1020.60 | 1190.70 | 1360.80 | 1530.90 |
71 | 172.53 | 345.06 | 517.59 | 690.12 | 862.65 | 1035.18 | 1207.71 | 1380.24 | 1552.77 |
72 | 174.96 | 349.92 | 524.88 | 699.84 | 874.80 | 1049.76 | 1224.72 | 1399.68 | 1574.64 |
73 | 177.39 | 354.78 | 532.17 | 709.56 | 886.95 | 1064.34 | 1241.73 | 1419.12 | 1596.51 |
74 | 179.82 | 359.64 | 539.46 | 719.28 | 899.10 | 1078.92 | 1258.74 | 1438.56 | 1618.38 |
75 | 182.25 | 364.50 | 546.75 | 729.00 | 911.25 | 1093.50 | 1275.75 | 1458.00 | 1640.25 |
76 | 184.68 | 369.36 | 554.04 | 738.72 | 923.40 | 1108.08 | 1292.76 | 1477.44 | 1662.12 |
77 | 187.11 | 374.22 | 561.33 | 748.44 | 935.55 | 1122.66 | 1309.77 | 1496.88 | 1683.99 |
78 | 189.54 | 379.08 | 568.62 | 758.16 | 947.70 | 1137.24 | 1326.78 | 1516.32 | 1705.86 |
79 | 191.97 | 383.94 | 575.91 | 767.88 | 959.85 | 1151.82 | 1343.79 | 1535.76 | 1727.73 |
80 | 194.40 | 388.80 | 583.20 | 777.60 | 972.00 | 1166.40 | 1360.80 | 1555.20 | 1749.60 |
81 | 196.83 | 393.66 | 590.49 | 787.32 | 984.15 | 1180.98 | 1377.81 | 1574.64 | 1771.47 |
82 | 199.26 | 398.52 | 597.78 | 797.04 | 996.30 | 1195.56 | 1394.82 | 1594.08 | 1793.34 |
83 | 201.69 | 403.38 | 605.07 | 806.76 | 1008.45 | 1210.14 | 1411.83 | 1613.52 | 1815.21 |
84 | 204.12 | 408.24 | 612.36 | 816.48 | 1020.60 | 1224.72 | 1428.84 | 1632.96 | 1837.08 |
85 | 206.55 | 413.10 | 619.65 | 826.20 | 1032.75 | 1239.30 | 1445.85 | 1652.40 | 1858.95 |
86 | 208.98 | 417.96 | 626.94 | 835.92 | 1044.90 | 1253.88 | 1462.86 | 1671.84 | 1880.82 |
87 | 211.41 | 422.82 | 634.23 | 845.64 | 1057.05 | 1268.46 | 1479.87 | 1691.28 | 1902.69 |
88 | 213.84 | 427.68 | 641.52 | 855.36 | 1069.20 | 1283.04 | 1496.88 | 1710.72 | 1924.56 |
89 | 216.27 | 432.54 | 648.81 | 865.08 | 1081.35 | 1297.62 | 1513.89 | 1730.16 | 1946.43 |
90 | 218.70 | 437.40 | 656.10 | 874.80 | 1093.50 | 1312.20 | 1530.90 | 1749.60 | 1968.30 |
91 | 221.13 | 442.26 | 663.39 | 884.52 | 1105.65 | 1326.78 | 1547.91 | 1769.04 | 1990.17 |
92 | 223.56 | 447.12 | 670.68 | 894.24 | 1117.80 | 1341.36 | 1564.92 | 1788.48 | 2012.04 |
93 | 225.99 | 451.98 | 677.97 | 903.96 | 1129.95 | 1355.94 | 1581.93 | 1807.92 | 2033.91 |
94 | 228.42 | 456.84 | 685.26 | 913.68 | 1142.10 | 1370.52 | 1598.94 | 1827.36 | 2055.78 |
95 | 230.85 | 461.70 | 692.55 | 923.40 | 1154.25 | 1385.10 | 1615.95 | 1846.80 | 2077.65 |
96 | 233.28 | 466.56 | 699.84 | 933.12 | 1166.40 | 1399.68 | 1632.96 | 1866.24 | 2099.52 |
97 | 235.71 | 471.42 | 707.13 | 942.84 | 1178.55 | 1414.26 | 1649.97 | 1885.68 | 2121.39 |
98 | 238.14 | 476.28 | 714.42 | 952.56 | 1190.70 | 1428.84 | 1666.98 | 1905.12 | 2143.26 |
99 | 240.57 | 481.14 | 721.71 | 962.28 | 1212.85 | 1443.42 | 1683.99 | 1924.56 | 2165.13 |
100 | 243.00 | 486.00 | 729.00 | 972.00 | 1215.00 | 1458.00 | 1701.00 | 1944.00 | 2187.00 |
382. The decimal Points in the Answer must be changed, thus:
1. For the Place of Thousands in the Question, (viz. 4000,) the Answer must remain, viz. 106.92, as in the Table, which is calculated for the Place of Thousands.
2. For the Place of Hundreds, in the Question, (viz. which in the present Case was a Cypher;) if there had been a Figure or Figures in the Place of hundreds; then the decimal Point in the Answer must have been removed over one Figure or Place to the left.
3. For the Place of Tens, in the Question, (viz. 10 Feet,) the decimal Point in the Answer, must be removed over two Figures, or Places, to the left.
4. For the Place of Units, in the Question, (viz. 6) the decimal Point in the Answer, must be removed over three Figures, or Places, to the left.