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 ...

It has been a long time since any professional mathematician worked in classical Euclidean geometry, searching for theorems that Euclid overlooked. So why study it?

Classically, the models of Euclidean (straightedge-and-compass) geometry are planes over Euclidean fields. We prove a similar theorem for constructive Euclidean geometry, by showing how to define ...

Juan Pablo Pinasco, New Proofs of Euclid's and Euler's Theorems, The American Mathematical Monthly, Vol. 116, No. 2 (Feb., 2009), pp. 172-174 ...

Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has ...

Nevertheless, they not only knew our planet’s shape but measured its diameter. O’Shea focuses too on Euclid, in particular his clumsy “parallel postulate”. The discovery in the 19th century of ...

I have very fond memories of high school geometry. Memorizing theorems wasn’t too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were ...

Steven Strogatz offers a walk-through of Albert Einstein’s childhood proof of the Pythagorean theorem, and what it shows about his thinking on relativity.

VideoThere's a simple way to learn geometry over the summer. It is easy and fun. Imagine Euclidean geometry: the video game. If your experience in high school geometry was anything like mine, it ...