This text covers the topics of an undergraduate course on analytical geometry. As this is not an introductory text, the 2-dimensional matters have been dealt with scantily, with more emphasis on problems, but the 3-dimensional matters have been dealt with due care and caution. Vector methods have been applied to the extent possible. The entire development is planned, systematic and well-founded. The analytic treatment of geometric properties has been done with the aid of vector analysis. Various geometric manifolds such as conics, planes, straight lines and conicoids are studied with emphasis on their special characters. Solving of the numerous difficult problems is the asset of this text.