Chapter 06: Plane Curves I
Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.
Contents and summary
- Conic sections
- The parabola
- The ellipse
- The hyperbola
- Asymptotes of a hyperbola
- Pairs of lines
- Rotation of axes
- General conics
- Tangents and normals
- Polar coordinates
- Relationship between rectangular and polar systems
- Polar equation of conics
- Polar equation of conics (independent method)
- Sketching of curve in polar coordinates
- Tangents and normals (polar coordinates)
- Parametric representations of curves