COMPUTATION OF LOGARITHMS. 



247 



the odd numbers, i, 3, 5, 7, 9, &c. as long as division can 

 be made ; that is, divide the first reserved quotient by i, 

 the second by 3, the third by 5, the fourth by 7, and 

 so on. 



3. Add all these last quotients together, and the sum 

 will be the logarithm of b-^a ; therefore to this logarithm 

 add also the given logarithm of the said next less number 

 ^, so will the last sum be the logarithm of the number h 

 proposed; 



That is, log. of b Is log. ^ + ~ X : iH — i-] — ^H 5 



s 31 ^S^ ']S 



-}- &c. where n denotes the constant given decimal 

 •8685889638, &c. 



EXAMPLES. 



Example t. Let it be required to find the logarithm of 

 the number 2. 



Here the given number b Is 2, and the next less number 

 a Is I, whose logarithm Is o ; also the sum 2+izr3zrj", 

 and its square ^^1^9. Then the operation will be as fol- 

 low* : 



Example 



