Geometry by Its History In this textbook the authors present first year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry together with its numerous practical applications while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes Euler and Gauss. Spatial geometry vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry which emerged in the 19th century. Complemented by numerous examples exercises figures and pictures the book offers both motivation and insightful explanations and provides stimulating and enjoyable reading for students and teachers alike. Preface Part I: Classical Geometry Thales and Pythagoras The Elements of Euclid Conic Sections Further Results on Euclidean Geometry Trigonometry Part II: Analytic Geometry Descartes Geometry Cartesian Coordinates To be Constructible or not to be Spatial Geometry and Vector Algebra Matrices and Linear Mappings Projective Geometry Solutions to Exercises References Figure Source and Copyright Index.