384. The rule underneath, consisting of 3 Precepts only, is laid down by Sir George Shuckburgh, in the Transactions for 1777, Page 574, in order to ascertain the Height of Mountains, &c. (See Section 349).[127]
385. Recapitulation for each Step of the Work, in the first Example; referring to the Sections.
Below. Barometer, Inches 29, .4 Tenths.
Attached Thermometer, 50 Degrees, Air-Thermometer 45°.
Above. Barometer, Inches 25, .19 Tenths.
Attached Thermometer 46°, Air Thermometer, 29°1⁄2.
From 50° |
subtract |
46 |
|
—— |
|
and there remains 4 |
Degrees of Temperature to be added to the colder Barometer. |
By Means of the first Table, find the Expansion of the colder Barometer, with Degrees of Heat, viz. 4° on Inches 25, .19, gradually, thus:
| with 4° on 25. | = .0101 |
| with 4° on .19 | = .0000076 |
————————— |
|
25.2| |
|
| Upper Barometer, Inches 25, .2 Tenths. | |
| Lower Barometer, 29, .4 | |
By Means of the 2d Table, find the corresponding Heights in the Air, at 31°. 24.
25, .2 |
Answer |
6225.0 | |
29, .4 |
2208.0 | ||
| ——— | |||
The Remainder is |
4016.8 | Height in Feet, &c. | |
The 3d Table, or Table for Heights in the Atmosphere corresponding to the Tenth of an Inch on the Barometer, including the 9th and 10th Steps, is useless in this first Example.
| Detached Air-Thermometer, above, | 291⁄2 |
| Ditto below, | 45° |
—— |
|
| Whole Heat | 2)841⁄2 |
| Half Heat or mean Temperature | 431⁄4 |
| Deduct Standard | 311⁄4 |
——— |
|
| Moiety above Standard | 11° |
| By Means of the 4th Table, find the Expansion of Air, with 11° on |
4106.8 |
Feet |
viz. |
107.3 |
|
——— |
||
| which added to the same Height gives | 4124.1 |
for the |
| true Height, in English Feet, of the Mountain, or upper Station, sought. | ||