Chapter 7: Analytic Geometry
I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.
— Pierre de Fermat
Why This Matters
The conic sections — circle, ellipse, parabola, hyperbola — are curves formed by slicing a cone with a plane. They were studied by the ancient Greeks purely for their beauty.
Two thousand years later, Kepler discovered that planets orbit in ellipses. Today, satellite dishes are parabolic, whispering galleries are elliptical, and GPS relies on hyperbolic navigation.
Pure mathematics became applied science.
Sections
| Section | Topic | Key Skill | Status |
|---|---|---|---|
The Ellipse |
Standard form, foci |
[ ] Not Started |
|
The Hyperbola |
Standard form, asymptotes |
[ ] Not Started |
|
The Parabola |
Vertex, focus, directrix |
[ ] Not Started |