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, ... From a design point of view, Byrne’s original color-coded Euclidean proofs were truly ahead of their time.

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 ...

In Euclidean geometry parallel lines always remain at a the same distance from each other no matter how far you extend those lines. But in non-Euclidean geometry, parallel lines can either curve ...