26 
The transfer made by Phillips of the formula with logarithms into one 
without them, is effected by well known algebraical processes, but too 
technical for a general audience. 
Four examples are appended, and the results of each method stated. It 
may be noticed that those by Phillips's formula are slightly in excess of 
the others. Probably the constant is taken too high. 
Formulae. 
Formula 1. Penny Cyclopaedia, " Heights " (La Place.) 
h y (|^') = »> correction of column of Mercury. 
60,162 (1+^) ( 1 ,, 025 1 9COS , 2X ) dog. * -log.tf^ 
60,162 (l+*±£=±) 1-0007 (log. A-log. V+n) = z, 
Formula 2.— Encyclopaedia Britannica, 8th Edition, vol. 4, p. 466. 
/10 ,\ •0001 7/ h x ( a ~ a \ mean temp.— 32 Q 
60,000 (log. k — log. l7+nj= z \ 
+ {t ( d + ^-64) + x} -001 J = Z) height of upper station. 
60,000 (1 + *±£z* + &) (log . h _ lQg< ^ } = z> 
Formula 3.-Pryde's « Practical Mathematics " (Chambers). 
h y ( a ~ a ') = n 
10,000 
9 / d + d\ 
60 >' 50 {i + mfr? - 32) \ dog. h - log. FTn) 
60,150 (1 + "-±|^ J ') (log. h - log. = k. 
