AS PRACTISED BY THE ARABS. 165 



three sets of examples will become as follow : 



Let A — 2 and assumed Root — 14. 

 Then Tf | 2 — 1 4- 4 4- -^ = 2^ and excess = ■fy. 



Let A = 3 and assumed Root = 14 and r, a Maximum. 

 Then Tfj 2 = 1 -f V + if = 344 and excess = 44, 



Let A — 5 and assumed Root = 2^-. 



Then 2^j c = 4 4- 44 -f yf ¥ = 4444 and deficiency - yfy. 



Let A — 6 and assumed Root = 2fV 



Then 2^| * = 4 4- 44 -f fVV = 6^ and excess = T Vf. 

 Let A = 7 and assumed Root = 2 T V- 



Then 2^| 2 = 4 + 4f -f Jfr = 7^ and excess = ^V 

 Let A = 3 and assumed Root — 2-ff- and r, a Maximum. 



Then 24f| 2 = 4 4- 44 and iff = 8^ and excess T V-§ 



Let A z= 10 and assumed Root = 3^ 



7T- 



