_With_ 4°, _on_ 1 Inch above 24, i.e. _on_ the 25th Inch: then, _With_ 4°, _on_ .1 Tenth above 24: then, _With_ 4°, _on_ .178 Tenths above 24. 1st Part of _Case the 2d._ To find the Expansion, _With_ .6 above 4° _on_ 24; begin thus: _With_ 4° _on_ 24 Inches: then, _With_ 5° _on_ 24: then, _With_ 1° above 4°, _on_ 24, i.e. the 5th°: then, _With_ .1 Tenth above 4°, _on_ 24: then _With_ .6 Tenths above 4°, _on_ 24. 2d Part of _Case the 2d._ To find the Expansion, _With_ .6 Tenths above 4° of Heat _on_ .178 Tenths above 24 Inches: to be done thus: _The_ +expansion+ _with 4°, on .178 Tenths above 24 Inches, being once found; divide_ +it+ _by 4: and the Quotient is the Expansion with 1° above 4°, on .178 Tenths of an Inch above 24 Inches_. _Then for the Expansion with .1 Tenth above 4°, on .178 Tenths above 24 Inches; add a Cypher and decimal Point to the left of the same Quotient._ _Then for the Expansion with .6; multiply that Sum into .6, and add a Cypher and decimal Point._ _The Answer is the_ +part+ _of an Inch, to which .6 Tenths of a Degree above 4° of Heat, on .178 Tenths of an Inch above 24 Inches, raises the Barometer_. _It is true, the_ +part+ _is so minute as to be rejected: yet the Mode of Proceeding, in order to investigate the Expansion with Precision, is proper to be retained_. 392. +practice+ of the first Part of _Case the 1st._ For the Expansion _with_ 4°, _on_ 24 Inches; look, in the first Table, (Sect. 363) and in the left vertical Column, _with_ 4 Degrees of the Thermometer; and along the upper horizontal Line, _on_ 24 Inches of Quicksilver in the Tube of the Barometer: the Point of Meeting gives the Expansion .0097;[128] which, preparatory to Addition, is to be placed under the 24, .178 thus, .0097 +practice+ of the 2d Part of _Case the first_. 393. In order to obtain the Expansion, _with_ 4°, of Heat _on_ .178 Tenths of an Inch above 24 Inches of the Barometer; let it be considered where it ought to be found in the Table: for, Tenths of 1 Inch above 24 Inches, are at some intermediate Point between 24 and 25; that is, above 24, yet not so high as 25: or more than 24, yet less than 25. Look therefore in the Table, _with_ 4 Degrees of Heat, _on_ 24 Inches; then _with_ 4° _on_ 25 Inches: and the respective Numbers are .0097 and .0101. And by taking the Expansion _with_ 4° _on_ 24 Inches, from 4° on 25; the Remainder will be the Expansion with 4° on 1 Inch above 24 Inches, viz. on the 25th Inch, thus: } 25 = .0101 from; _With_ 4° _on_ } } 24 = .0097 subtract: ————— .0004: This therefore is the Expansion _with_ 4°, _on_ 1 Inch above 24 Inches. Then _with_ 4°, _on_ .1 Tenth of an Inch above 24 Inches.