Chapter 08: Analytic Geometry of Three Dimensions
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 & Summary
- Distance between two points
- Point divining a line segment in a given ratio
- Straight line in $\mathbb{R}^3$
- Direction angles of a vector
- Angle between the straight line
- Distance of a point from a line
- Equations for planes
- Angle between two planes
- Straight line as intersection of two planes
- Shortest distance between two straight lines
- Cylindrical coordinates
- Spherical coordinates
- Surfaces
- Surface of revolution
- The cylinder
- Right cylinder
- The cone
- The sphere
- The ellipsoid
- The elliptic paraboloid
- The hyperboloid paraboloid
- The elliptic cone
- General quadric surfaces
- Ruled surfaces
- Spherical trigonometry
- The cosine formula
- The sine formula
- The four parts (or the cotangent) formula
- Latitude and longitude
- Direction of Qibla
Notes and solutions
Notes by Muhammad Bilal
We are very thankful to Mr. Anwar Khan, PhD for sending these notes.