361. 2d. Now, in order to obtain the Expansion _with_ 4 Degrees, _on_ .19 Tenths i.e. the nine hundred and tenth Part of an Inch of Quicksilver in the Tube (above 25 Inches,) it must be considered, where it ought to be found in the first Table. Tenths of 1 Inch, above 25 Inches, it must be observed, are at some intermediate Point between 25 and 26 Inches; that is, above 25, yet not so high as 26, or more than 25, yet less than 26. Therefore, to find the Expansion _with_ 4 Degrees, _on_ 1 Inch above 25, i.e. on the 26th Inch; look in the Table, first, _with_ 4 Degrees on 25 Inches: then _with_ 4 Degrees on 26 Inches. The respective Numbers are .0101 and .0105. And by taking the Expansion _with_ 4° on 25 Inches, from the Expansion, _with_ 4° _on_ 26 Inches, thus; Expansion { .0101 on 25 Inches, { .0105 on 26 Inches, ————— The Remainder .0004 is the Expansion with 4° on 1 Inch, above 25, i.e. on the 26th Inch. 362. 3d. To find the Expansion, with 4° on .1 above 25 Inches; add a Cypher and decimal Point to the former Answer, which then becomes .00004, viz. the Expansion, with 4° on one Tenth, above 25 Inches. 363. 4th. Lastly, to obtain the Expansion _with_ 4°, _on_ .19, above 25 Inches, say: If one Tenth of an Inch, above 25 Inches, gives this Expansion viz. .00004, what Expansion will nineteen Tenths above 25, give? answer .19 Tenths more; thus: If .1 : .00004 :: .19? .19 —————— 00036 0004 —————— .00076; then, in order to have as many decimal Places in the Product as are contained both in the Multiplicand and Multiplier, add a Cypher and Point to the left, and the Product becomes .0000076 which, being divided by .1, gives a Cypher less. viz. the Expansion with 4° on .19 above 25 Inches. THE FIRST TABLE: +shewing the expansion with HEAT on inches of the BAROMETER.+