Summary We state and prove a surprising incidence theorem that was discovered with the help of a computer graphics program. The theorem involves sixteen points on ten lines and five circles; our proof ...

Circle theorems are properties that are true for all circles, regardless of their size. There are six theorems to learn and recognise. Questions can have a combination of theorems. It is important to ...

https://doi.org/10.4169/amer.math.monthly.121.03.263 • https://www.jstor.org/stable/10.4169/amer.math.monthly.121.03.263 Copy URL ...

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference. The opposite angles in a cyclic quadrilateral add up to 180°.

You don’t need a human brain to do maths — even artificial intelligence can write airtight proofs of mathematical theorems. An AI created by a team at Google has proven more than 1200 mathematical ...