This book is an attempt to introduce the reader to the art and craft of theory construction. While we use geometry as the terrain for practice, our focus is on the methodological strategies and techniques of value in all domains of theory construction, not on the ‘facts’ of geometry that students learn in textbooks. We expect the series to be useful for researchers and research students across disciplines, but have also tried to make the content and the style accessible to high school students.
Unit 1: A Theory of Triangles
Unit 2: A Theory of Quadrilaterals
Unit 3: A Theory of Polygons
Unit 4: A Theory of Lines and Points
Unit 5: A Theory of Circles
Unit 6: A Theory of Geometry
Unit 8: Geometry as Science and as Math
You can download all the units as a single document here.
[NOTE: This license allows others to remix, adapt, and build upon this work, as long as they credit the authors, use it non-commercially, and license their new creations under the identical terms.]