Stage 30 · Analytic Geometry

30.5.3 The Relationship Among a, b, and c

30.5 The Ellipse: A Circle Pulled Flat

Point 3 of 5

30.5.3 The Relationship Among a, b, and c

Core idea

The semi-major axis, semi-minor axis, and semi-focal distance form a right triangle, so a²=b²+c².

Module goal. Introduce the ellipse from the constant sum of distances to two fixed points, build its standard equation, and read off its geometric properties.
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