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 for sending these notes.

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