•224 Professor Whewell on the Mathematical Exposition 



Also the price is supposed to increase by 



1 _ . _ r« _ 1 65 _ 3 



110~'''~M~110~2' 

 3 . .3 



Hence m[n-\)=-, which is satisfied by assuming |ii=2, m=-. 



In this case the portions of the tax which fall on rent, 



capital and price, are - , - , - . The whole tax is of the ori- 



ginal produce a fraction -^ =rr- 0=7777- *"d the part 



u T[/ 00 \j 100 



which falls on rent is :— — of the produce. 



2 



Also the whole return to capital acq = - the whole produce, 

 . and the rent = - the produce at first. 



o 



If e = 2, in = 2, (1 = 3, - = " , the portions of the tax which 



fall on rent, capital and jjrice are equal. 



3.5. Similar reasoning may be applied to determine the result 

 of any other changes, for instance, of improvements in agricul- 

 ture, such as those which Mr. Thompson considers, p. 12, &c. 

 The conditions of the change being known, it may be ascertained 

 how far its final consequence will be to increase rent, and how 

 far to produce other effects. The method will appear in the 

 following cases. 



Let the improvement be " one which makes a saving in 

 bringing some jiart of the i>roduce to market, as, for instance, 

 a threshing machine." 



In this case we have to suppose a diminution of c, or at 

 least of c„, >\ and r remaining. Let c„ become c'„; and suppose 

 that pr„ < c,//, so that without the improvement a„ could not be 

 cultivated, and that p'r„ = or > c'„q, so that the improvement 



