Greg Markowsky's Problem for Parabola

Let A and B lie to the right of the axis OO' of a parabola with vertex O, with A closer to O than B. Draw OB, and draw AA' parallel to OO'. Let C be the intersection of AA' and OB. Choose D on OO' so that CD is perpendicular to OO'. Connect BD and AD. Show that ∠ADO = ∠BDE.

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Parabola

• The Parabola
• Archimedes Triangle and Squaring of Parabola
• Focal Properties of Parabola
• Geometric Construction of Roots of Quadratic Equation
• Given Parabola, Find Axis
• Graph and Roots of Quadratic Polynomial
• Greg Markowsky's Problem for Parabola
• Parabola As Envelope of Straight Lines
• Generation of parabola via Apollonius' mesh
• Parabolic Mirror, Theory
• Parabolic Mirror, Illustration
• Three Parabola Tangents
• Three Points on a Parabola
• Two Tangents to Parabola
• Parabolic Sieve of Prime Numbers

Conic Sections

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