In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Napoleon Bonaparte, First Consul. Work by Ingres. It was during this period that he came into contact with the theorems. Credit: Public domain / Wikimedia Commons His political stance allowed him to ...

Sure, riddles are fun if you’re a fan of clever wordplay. But there’s something so uniquely enjoyable about a good visual puzzle. So today, we’re calling all brainteaser aficionados: How many ...

Humans started counting tens of thousands of years ago, but when did they begin figuring out advanced arithmetic, algebra and even calculus? When you purchase through links on our site, we may earn an ...

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, right ...

Today’s two questions test your geometrical smarts. The first is about a triangle, the second about a square. 1. Tricky triangle This one was sent in by a reader, aged 85, who first saw it in 1960. He ...

An AI system developed by Google DeepMind, Google’s leading AI research lab, appears to have surpassed the average gold medalist in solving geometry problems in an international mathematics ...

A small clay tablet from the site of Kish in Iraq reveals a student calculated the area of a triangle incorrectly 4,000 years ago. When you purchase through links on our site, we may earn an affiliate ...

The original version of this story appeared in Quanta Magazine. In the fall of 2022, a Princeton University graduate student named Carolina Figueiredo stumbled onto a massive coincidence. She ...