This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most ...

For the purposes of ordinary Euclidean geometry, it is probably the simplest way to assume the straight line as the one undefinable entity, and intersection as the elementary relation from which ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

Six days later, Riemann returned the book to the teacher ... In that lecture, Riemann cut to the core of Euclidean geometry, pointing out that its foundation consisted of presuppositions about ...

The second moment occurred soon after he turned twelve, when he was given “a little book dealing with Euclidean plane geometry.” The book’s “lucidity,” he wrote—the idea that a ...