Brief but rigorous this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system planes and lines spheres homogeneous coordinates general equations of the second degree quadric in Cartesian coordinates and intersection of quadrics. Mathematician physicist and astronomer William H. McCrea conducted research in many areas and is best known for his work on relativity and cosmology. McCrea studied and taught at universities around the world and this book is based on a series of his lectures.