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.

Parabola

• The Parabola
• Archimedes Triangle and Squaring of Parabola
• Focal Properties of Parabola
• Given Parabola, Find Axis
• Greg Markowsky's Problem for Parabola
• Parabola As Envelope of Straight Lines
• Generation of parabola via Apollonius' mesh
• Parabolic Mirror
• Three Parabola Tangents
• Three Points on a Parabola
• Two Tangents to Parabola

Conic Sections