1 61 ARITHMfiTICi 



Let 125000000 rz supposed cube, whose root I& 50^; 



Then 125000000 

 2 



250000000 

 98003449 



348003449 



98003449 

 2 



J96006898 



125000000 



321006898 : 



500 



500 



[or root nearly, 

 348003449)160503449000(461 zi corrected root, 

 1 3920 1 3 796 



2130206940 

 2088020694 



421862460 

 348003449 



73859011 



2. Required the cube root of 2 103 5 '8. 



Here we soon find that the root lies between 20 and 30^ 

 and then between 27 and 2"8. Therefore 27 being taken, 

 its cube is 19683 the assumed cube. Then 



19683 

 2 



39366 



21035-8 



As 6040 1 '8 



21035-8 



2 



42071*6 

 -^[9683 



: 61754.6 



■ 27 



4322822 

 1235092 



1667374-2 



27 



27'6ozi'7 



60301*8) 



