Stage 30 · Analytic Geometry

30.7.4 The Conic Sections Are One Family

30.7 The Parabola and a Unified View of Conic Sections

Point 4 of 6

30.7.4 The Conic Sections Are One Family

Core idea

Slice a cone at different angles and out come the ellipse, parabola, and hyperbola, all springing from the same source.

Module goal. Introduce the parabola and, through equal point-line distance and eccentricity, thread all three curves into one system, wrapping up the coordinate method.
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