Definition:
Equidistant refers to the state of being at an equal distance from two or more reference points. It implies that the distances from a given point to each of the reference points are identical.
Examples:
* A point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment.
* The center of a circle is equidistant from all points on the circumference.
* A city located equidistant from two major highways has convenient access to both.
In geometry:
Equidistance is a fundamental concept in geometry, particularly in the study of circles, perpendicular bisectors, and other geometric figures.
Usage:
The word "equidistant" is commonly used in various contexts, including:
* Mathematics: To describe points or lines that are the same distance from specific reference points.
* Geography: To indicate locations that are at equal distances from certain landmarks.
* Engineering: To refer to structures or components designed to be equidistant from specific points for stability or functionality.
* Everyday language: To express the idea of equal distance or proximity.
Synonyms:
* Equally distant
* At the same distance
* Equiangular