Home1810 Edition

EXPOENT

Volume 17 · 129 words · 1810 Edition

in Algebra, the same with index. See ALGEBRA.

Exponent is also used in arithmetic, in the same sense as index or logarithm.

EXPOENTIAL Calculus, the method of differencing, or finding the fluxions of exponential quantities, and of summing up those differences, or finding their fluents.

EXPOENTIAL Curve, is that whose nature is defined or expressed by an exponential equation; as the curve denoted by $a^x = y$, or by $x^a = y$.

EXPOENTIAL Equation, is one in which is contained an exponential quantity; as the equation $a^x = b$, or $x^a = b$, &c.

EXPOENTIAL Quantity, is that whose power is a variable quantity; as the expression $a^x$, or $x^a$. Exponential quantities are of several degrees and orders, according to the number of exponents or powers, one over another.