Discusses the properties and types of triangles, explaining that a triangle is a closed figure with three sides and angles. It categorizes triangles into equilateral, isosceles, scalene, obtuse ...

So equilateral triangles are constructible with a compass and straightedge, QED. Congratulations on persisting through the first proposition in the first book of Euclid’s Elements.

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

The movement, which thrived for decades, in part viewed Euclidean geometry as insufficient, elevating algebra instead.

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

A Triangle Inequality Billiards in triangles, which do not have the nice right-angled geometry of rectangles, is more complicated. As you might remember from high school geometry, there are several ...

The European Space Agency's Euclid mission will map 1.5 billion galaxies while searching for dark matter and dark energy.

Triangles where the angle sum breaks the apparent rule led to the revelation that there are kinds of geometry Euclid never imagined.