Stage 30 · Analytic Geometry

30.6.3 The Relationship Among a, b, and c

30.6 The Hyperbola: The Path of a Constant Difference

Point 3 of 5

30.6.3 The Relationship Among a, b, and c

Core idea

Here it flips: c is the longest, c²=a²+b², and the foci sit outside the real axis.

Module goal. Introduce the hyperbola from the constant difference of distances to two fixed points, and master its standard equation, asymptotes, and eccentricity.
eastmath.com · 30.6 The Hyperbola: The Path of a Constant Difference · 30.6.3 The Relationship Among a, b, and c