THE

ELEMENTS

OF THE

TRUE ARITHMETIC

INFINITES,

&c.

POSTULATES.

1. THAT in division, the product of the quotient the result of division multiplied by the divisor the number by which another is divided is equal to the dividend the number being divided, whether such quotient be an infinite or a finite series of terms.

2. That in subtraction, the remainder the amount left over added to the quantity subtracted is equal to the subtrahend the number from which another is to be subtracted, whether the subtrahend and quantity subtracted be a finite or an infinite series of terms.

3. That in the multiplication of one infinite series of terms by another, that part of the product alone is true which does not receive any increase by the multiplication of a greater number of terms.

Thus, for instance, in the multiplication of the infinite series of terms 1+1+1+1+1, &c. by 1+1+1+1+1, &c.