401. 10th. Step. Subtract the _Height_ in Feet, corresponding to the _Expansion_ on .0892 Tenths of an Inch, (_less_ than Inches 24.2 Tenths, of the _upper_ barometric Tube,) from the _Height_, in Feet, corresponding to _the Expansion on_ Inches 24.1 Tenth of the same barometric Tube, continuing at the Standard Heat,[129] viz. 7388.0 95.9 —————— The Remainder 7292.1 gives the real, viz. the _less_ Height of the _upper_ Barometer, at 24.1892 with the Standard Temperature. Repeat the same Process, viz. the 9th. and 10th. Steps, for the _lower_ Barometer, thus: For the lower Barometer in the 2d. Example. First, Find the Height, in _Feet_, of the lower Barometer, standing at Inches 28.1318 Tenths, in the 2d. Column of the 2d. Table, corresponding to Inches and Tenths of the Quicksilver in the barometric Tube, in the first Column of the same Table, thus: The lower Barometer standing at 28.1318; it must be considered, where in the 2d. Column of the 2d. Table, a Height corresponding to such Inches and Tenths can lye: and the Answer is, somewhere above 28 Inches, .1 Tenth, but not so high as 28 Inches .2 Tenths: 28.1318 Tenths being more than 28 Inches .1 Tenth, yet less than 28 Inches .2 Tenths. First, then, look, in the first Column for 28.1, and the corresponding Height, in Feet, is 3386.6: but the Height for 28.2, is only 3294.0: —————— subtracting the less from the greater; the Remainder is 92.6, the same as in the 3d. Column, viz. the Height, in Feet and Tenths, corresponding to _one Tenth only_ above 28.1. Having therefore found that Feet 92.6 Tenths, are the Height, corresponding to one Tenth only above Inches 28.1 Tenth, of the lower Barometer, with the Temperature of freezing; for which _sole_ Purpose, the 2d Table is calculated;—a new Question arises, viz. what are the Heights, in Feet and Tenths, corresponding to the remaining Decimals above 28.1, viz. .03 .001 .0008; to be resolved by Application of the third Table, or Table for Tenths, which see, (in Section 373.) Look in the 3d. Table, with 92, (omitting the .6 as too minute) and with 3 answering to .03, which gives 28 = Feet 28. 1 to .001, 9 = .9 8 to .0008, 74 = .74 —————— 29.6|4 Which 29.6 is the _Height_ in Feet and Tenths corresponding to .0318 Tenths above Inches 28.1 Tenth: and Inches 28.1 Tenth gave Feet 3386.6 Tenths in Height: therefore an additional Height of so many Tenths or Decimals of an Inch of Quicksilver in the Tube of the Barometer, must give in Feet, a _less_ Height of the _lower_ Barometer, elevated above the _imaginary_ Level indicated by the Quicksilver resting in the Tube at 32 Inches.[130]