Pythagoras, a Greek philosopher, believed friends are vital companions on life's journey. They offer support through challenges, helping each other persevere towards a happier existence. This ancient ...

THE principal novelties in this tract are the chapters on the orthopole (with some original propositions by the author) and on orthogonal projection (mostly after Prof. Neuberg). A pretty theorem in ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

We introduce OneThinker, an all-in-one multimodal reasoning generalist that is capable of thinking across a wide range of fundamental visual tasks within a single model. OneThinker demonstrates strong ...

A new book, Megalith, claims ancient Britons built Stonehenge “and other stone circles with a knowledge of Pythagoras' theorem, 2,000 years before the Greek philosopher formalized geometry.” ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

Students are often unsure why angles in the same segment of a circle have to be equal. Colin Foster explains how to make it clear… Anil says that the two angles shown in fig 1 below are equal. Do you ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

How a centuries-old math puzzle helped us see inside the human brain. By Steven Strogatz Photo illustrations by Jens Mortensen Each installment of “Math, Revealed” starts with an object, uncovers the ...

Trigonometry class has tripped up generations of teenagers, yet none of its puzzles spark more head‑scratching than the classic right‑triangle riddle. The formula a² + b² = c² looks tidy on the ...

For over a century, a simple yet tricky math problem had continued to baffle experts. Mathematicians struggled to find the fewest number of pieces needed to cut an equilateral triangle and rearrange ...