Detached Air-Thermometer, _above_, 29½ Ditto _below_, 45° ——— Whole Heat 2)84½ Half Heat or mean Temperature 43¼ Deduct Standard 31¼ ——— Moiety above Standard 11° [Sidenote: _12th step, in Section 377._] 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. _End of the last Stage._ CHAPTER LXXV. PRACTICE OF THE SECOND EXAMPLE: _With a distinct View of the Work. (Ph. Tr. for 1777, Page 579.)_ Section 386. The Point at which the Quicksilver stood in the Tube of the Barometer on the Mountain, or in the Car of the Balloon, being Inches 24.178 Tenths; its _attached_ Thermometer, Degrees 57.2 Tenths, and its Air-Thermometer 56°; while the Barometer on the Ground stood at Inches 28, .1318 Tenths; its _attached_ Thermometer, Degrees 61, .8 Tenths, and its Air-Thermometer 63°, .9; what is the Height of the _upper_ Station? [Sidenote: 1st. Step.] 387. 1st. Step. Set down the Observation on the Ground, thus: +Below+, Barometer, Inches 28, .1318 Tenths, _Attached_ Thermometer, Degrees 61, .8 Tenths. _Air_-Thermometer, 63°, .9. [Sidenote: 2d. Step.] 388. 2d. Step. Set down the Observation, on the Mountain, or _in the Car_, thus: +Above+, Barometer, Inches 24, .178 Tenths. _Attached_ Thermometer, Degrees 57, .2 Tenths. _Air_-Thermom. 56°. [Sidenote: 3d. Step.] 389. 3d. Step. From the _warmer attached_ Thermometer, subtract the colder, thus: 61°, .8 57, .2 ——————— 4, .6 390. 4th. Step. Give the _colder_ Barometer the same Expansion, viz. 4°, .6 with the warmer, by the _first_ Table. CHAPTER LXXVI. PRACTICE OF THE FIRST TABLE IN THE SECOND EXAMPLE. _4th Step applied in the 2d Example._ [Sidenote: _4th Step applied._] Section 391. The _Order_ to be observed in finding the Expansion _with_ 4°.6, i.e. with 4 Degrees, .6 Tenths of Heat, on 24.178, i.e. 24 Inches, .178 Tenths of the coldest Barometer. Find the Expansion required, thus: _Case the 1st._ 1st. Part. _With_ 4° _on_ 24 Inches. 2d. Part. _With_ 4° _on_ .178 Tenths of an Inch above 24 Inches. _Case the 2d._ 1st. Part. _With_ .6 Tenths of a Degree, _on_ 24 Inches. 2d. Part. _With_ .6 Tenths of a Degree, _on_ .178 Tenths above 24 Inches. +specifically+, _thus_: 1st. Part of _Case the 1st._ To find the Expansion, _With_ 4° _on_ 24 Inches. 2d. Part of _Case the 1st._ _With_ 4°, _on_ .178 Tenths of an Inch above 24 Inches; begin thus: _With_ 4°, _on_ 24 Inches: then, _With_ 4°, _on_ 25: then,