But the ancient Greeks certainly had numbers. In fact, they had what was in some ways a much more elegant system than the ...

For over 2,000 years, mathematicians believed a purely trigonometric proof of Pythagoras ... how we understand geometry. Their approach? Angle properties and proportional reasoning. Instead of ...

Let’s start with arguably the simplest fact about this new year: 2025 is a perfect square. It’s equal to 45 × 45, meaning that if we drew a big old square with side length 45 units, the total ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that ... that there are two different ways to define the same trigonometric terms ...

Two American teenagers have challenged centuries-old math conventions by developing new trigonometric proofs for the Pythagorean theorem, stirring excitement in the academic world. Calcea Johnson ...

Known as the "infinite monkey theorem", the thought-experiment has long been used to explain the principles of probability and randomness. However, a new peer-reviewed study led by Sydney-based ...

Although the Pythagorean theorem has been proved with algebra and geometry, mathematicians previously thought that it couldn’t be proved using trigonometry. That’s because the fundamentals in ...

The students started researching as part of a school-wide math contest with a challenging bonus question, which asked students to create a new proof for the Pythagorean Theorem, a fundamental ...

Here’s a breakdown of fractions, along with simple definitions, types ... situations and lay the groundwork for more complex math concepts, such as ratios, percentages, and proportions.