SCALES OF NOTATION 25

We have o] > r
But Ifl > |b]
Therfor [l >+

Thus the hypothesis of § 84 is satisfied and therfor the con-

clusion follows.
Exs.

 

 

 

86. Th. Ifb—= 0,a—>% b, g the upper quotient obtarnd when
a is divided by b, s the corresponding negativ remainder, and
lg| > |s|, then when a is divided by g, the upper quotient is b
and s the corresponding remainder.

Proof like that of § 84.

Exs.

 

 

 

87. Th. If b—= 0, a->> b, g the upper quotient obtaind
when a is divided by b, s the corresponding remainder, and
lg| > |b|, then when a is divided by g, the upper quotient is b
and s the corresponding remainder.

Proof like that of § 85.