Constructing theories: A case study in geometry, with an extension to biology

K. P. Mohanan, Tara Mohanan

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.


Title Page

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 7: Extending the Terrain: Constructing a Theory of Animals Unit 8: Geometry as Science and as Math

NOTE: This textbook is currently under revision and field trial. Please return to our website in December 2022 to find a revised, final version. Meanwhile, if you find any errors in these pages or have any feedback, please feel free to contact us at: and