These proofs are not necessarily any better; most rely on the same axioms but follow different paths to the result. The Guinness Book of World Records website names someone who, it is claimed, has ...

So Einstein’s proof reveals why the Pythagorean theorem applies only to right triangles: they’re the only kind made up of smaller copies of themselves. The second insight is about additivity.

Circle theorems - Higher - AQA Circles have different angle properties described by different circle theorems. Circle theorems are used in geometric proofs and to calculate angles.

Circle theorems are used in geometric proofs and to calculate angles. Part of Maths Geometry and measure Save to My BitesizeSave to My BitesizeSavingSavedRemovingRemove from My Bitesize ...

Wayne Nirode, A Proof Progression for Geometry, The Mathematics Teacher, Vol. 111, No. 7 (May 2018), pp. 512-519 ...

Proof-writing achievement also varied significantly with van Hiele level when either entering knowledge of geometry or geometry achievement in the spring was used as a covariate. The predictive ...

A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory.

Hatching a Plan Fefferman’s proof — along with subsequently discovered connections to number theory, combinatorics and other areas — revived interest in the Kakeya problem among top mathematicians. In ...

Then, they wrote nine more proofs.In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional ...