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.

• 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

We are very thankful to Mr. Anwar Khan, PhD for sending these notes.