bisectrix

bisectrix

The bisectrix divides the angle into two equal parts.

Definition

Noun (plural: bisectrices) - Geometry: A line that divides an angle into two equal parts; also known as an angle bisector. The term "bisectrix" is a less common synonym for "bisector," often used in technical or formal contexts. - General: Any line or plane that bisects a figure or segment, splitting it into two congruent halves.

Usage Examples
  • (The line that splits the angle at the vertex into two equal angles.)
  • (A line dividing the design into mirror-image halves.)
  • (A line that splits the axes into equal angles.)
Advanced Usage
  • "Bisectrix of a dihedral angle": In three-dimensional geometry, the plane that bisects the angle formed by two intersecting planes.
    • The bisectrix of the dihedral angle is equidistant from both planes. (The dividing plane is at the same angular distance from each original plane.)
  • "Bisectrix of a triangle": Often used interchangeably with "angle bisector," but specifically refers to the line from a vertex to the opposite side.
    • The three bisectrices of a triangle meet at the incenter. (The three angle-dividing lines intersect at the center of the inscribed circle.)
Variants and Related Words
  • Bisector (n): A synonym for "bisectrix," more commonly used in modern geometry.
    • The angle bisector is a fundamental concept in Euclidean geometry. (The line that splits an angle equally.)
  • Bisect (v): To divide into two equal parts.
    • The line bisects the square into two rectangles. (The line cuts the square into two equal halves.)
  • Bisection (n): The act of dividing into two equal parts.
    • The bisection of the angle was performed with a compass and straightedge. (The process of splitting the angle equally.)
Synonyms
  • Angle bisector: The most common synonym, referring specifically to a line that divides an angle.
  • Bisector line: A general term for any line that bisects a figure.
  • Median line (in certain contexts): A line that divides a segment or angle equally, though "median" typically refers to a line from a vertex to the midpoint of the opposite side in triangles.
Related Idioms
Phrasal Verbs