The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of ...

The Pythagorean theorem stands as one of mathematics' most enduring and practical principles. Named after the ancient Greek mathematician Pythagoras, this fundamental concept has guided engineers, ...

Ancient Indian mathematician Baudhayana was the first person to formulate a theorem on right-angled triangles that in its modern form came to be associated with Greek mathematician Pythagoras, a newly ...

Abstract: An existence theorem is given for a general class of deterministic, infinite-horizon, discrete-time optimal control problems. The hypotheses of the theorem are weak and can be easily ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

About a decade ago Tonan Kamata, now a mathematician at the Japan Advanced Institute of Science and Technology (JAIST), stood mesmerized in front of a math museum’s origamilike exhibit. It featured a ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Pythagoras Theorem (also called the Pythagorean theorem) has been used from antiquity to modern times to solve practical problems in situations from surveying, construction and design that involve ...

The results presented here are based on material contained in the author's thesis, written as partial fulfilment of the requirements for the Ph.D. degree at the University of Notre Dame. The author ...