Parabola Tangents

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Let B be the focus of the parabola, and D be the intersection between a tangent whose point of contact is C and the parabola axis. The triangle BDC is isosceles.

Furthermore, the locus of the foot of the perpendicular from the focus to the tangent forms a line that is tangent to the vertex.

Expressions

Name Input
Perpendicular Length Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Angle 1 Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Angle 2 Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image