# origin of the terms "domain" and "range"?

A 1929 paper of Chittenden contains the following sentence (about the derived set operator on a space $P$):

“Thus the relation $E' = K(E)$ defines a single-valued set-valued set-function, whose range is the class of all subsets of $P,$ and whose values are also subsets of $P.$”

Since he used range to mean domain (in current terminology), it made me wonder when the currently used terms became the norm. It evidently wasn't before 1929.

• From Earliest Known Uses of Some of the Words of Mathematics: DOMAIN was used in 1886 by Arthur Cayley in “On Linear Differential Equations” in the Quarterly Journal of Pure and Applied Mathematics: “… for points $x$ within the domain of the point $a$” and RANGE, was used in 1865: The Differential Calculus by John Spare has: “It is useful to become acquainted with the methods of fully examining the entire history of a function of one or more variables, in respect to the range of values which the function and its variable may sustain, …” Oct 15, 2017 at 11:58
• For domain, you can see the post: exactly-who-popularized-the-modern-definition-of-domain-and-codomain-of-function Oct 16, 2017 at 10:08