If two people pick alternate slices from a pizza that has been cut unevenly from an off-centre point, common sense suggests one of them will walk away with more. But geometry says otherwise.In the ...

The Pythagorean Theorem, a cornerstone of geometry, empowers students to solve right triangle problems and unlock advanced mathematical concepts. Mastering this theorem enhances logical reasoning, ...

In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras’ theorem using trigonometry after entering a competition at ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Here's a scene from "The Royale," an episode of Star Trek: The Next Generation that aired March 27, 1989. In it, Captain Jean-Luc Picard tells his First Officer, Commander Riker, about his work in ...

It is important to remember other angles rules, such as angles on a straight line add up to 180°, and to recognise angles in parallel lines. Make sure you are confident in applying Pythagoras’ theorem ...

Automated theorem proving in geometry systems unites symbolic logic, computer algebra and machine learning to verify and discover geometric propositions without human intervention. Historically rooted ...