Chapter 8

Loci in Two Dimensions

Loci — sets of points that follow a rule, such as staying a fixed distance from a point or line — with an interactive exercise.

A locus (plural loci) is the set of all points that follow a given rule.

The locus of points a fixed distance from a point is a circle. The locus of points a fixed distance from a straight line is a pair of parallel lines. Points equidistant from two points lie on the perpendicular bisector.

Remember

  • Fixed distance from a point → circle.
  • Equidistant from two points → perpendicular bisector.

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