# EQUAL

, a term of relation between different things, but of the same kind, magnitude, quantity, or quality.——Wolfius defines Equals to be those things that may be substituted for each other, without any alteration of their quantity.—It is an axiom in mathematics &c, that two things which are equal to the same third, are also equal to each other. And if Equals be equally altered, by Equal addition, subtraction, multiplication, division, &c, the results will be also Equal.

Equal Circles, are those whose diameters are equal.

Equal Angles, are those whose sides are equally inclined, or which are measured by similar arcs of circles.

Equal Lines, are lines of the same length.

Equal Plane Figures, are those whose areas are equal; whether the figures be of the same form or not.

Equal Solids, are such as are of the same space, capacity, or solid content; whether they be of the same kind or not.

Equal Curvatures, are such as have the same or equal radii of curvature.

Equal Ratios, are those whose terms are in the same proportion.

Equal

, in Optics, is said of things that are seen under equal angles.

· ·

Entry taken from A Mathematical and Philosophical Dictionary, by Charles Hutton, 1796.

This text has been generated using commercial OCR software, and there are still many problems; it is slowly getting better over time. Please don't reuse the content (e.g. do not post to wikipedia) without asking liam at holoweb dot net first (mention the colour of your socks in the mail), because I am still working on fixing errors. Thanks!