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 ...

Updating a 2,000-year-old geometry textbook might seem like a real snoozer, but it was Byrne’s titular diagrams that made this 19th-century edition a design classic.

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

How Trigonometry Shapes the World,” Matt Parker recounts, for instance, how computers were a “game-changer in the field of ...

The basic model of hyperbolic geometry is an infinite expanse, just like flat Euclidean space. But because hyperbolic geometry expands outward much more quickly than flat geometry does, there’s no way ...

OF late years a very remarkable change has been made in the theory of elementary geometry, the general effect of which has been to make it more abstract, and to reduce a great deal of it to the ...

Six days later, Riemann returned the book to the teacher, having mastered its contents. ... Freed from Euclid’s preconditions, Riemann derived an entirely different (non-Euclidean) geometry.

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that ...

The easiest way to understand non-Euclidean geometry is to use a sphere. Here’s where the basketball comes in, since basketballs are real life spheres. Let’s focus on the four lines in the center.