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Let C be the parabola with equation y=4ax, and let F=(a,0) be its focus.
It equals four-thirds of the area of the triangle PQP', where Q is the point on C whose tangent is parallel to the chord PP' (formula due to Archimedes).
With respect to a coordinate system with origin at F the equation is
where l=2a is half the latus rectum.
Wed Oct 4 16:41:25 PDT 1995
This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (CRC Press). Unauthorized duplication is forbidden.