Locus of Intersection of Perpendicular Normals

Download Geometry Expressions File

Take two tangents and their respective normals. Set the parameters of the tangency points to be t and -1/t, and the normals are thus perpendicular.

Furthermore, the locus of intersections of the normals forms another parabola.

Expressions

Name Input
Angle Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Locus Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image