Complex sentence: In geometry, an intrinsic equation of a curve is an implicit equation that defines the curve using a relation between the curve's intrinsic properties, that is, properties that do not depend on the location and possibly the orientation of the curve.
Split into simpler sentences: In geometry, an intrinsic equation of a curve is an implicit equation that defines the curve using a relation between the curves intrinsic properties. That is, properties that do not depend on the location and possibly the orientation of the curve.