In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
Euclid’s Theorems – A Journey Through Geometry
More than two thousand years ago, around 300 BCE, a Greek mathematician named Euclid compiled the foundations of geometry into a monumental work titled The Elements. This book, consisting of thirteen volumes, presented definitions, postulates, and theorems that built the logical structure of mathematics. For over two millennia, The Elements remained the most influential textbook in the world, shaping the study of mathematics and inspiring countless scientists, philosophers, and engineers.
The theorems presented by Euclid — such as the properties of triangles, parallels, circles, and angles — form the basis of what we now call Euclidean Geometry. They not only advanced mathematics but also established the idea of proving statements logically from first principles — a cornerstone of modern science and reasoning.
This interactive widget brings Euclid’s timeless theorems to life. Users can drag points, move sliders, and explore geometric relationships visually. By interacting with the shapes, learners can see how angles, lines, and circles behave — turning abstract geometry into an intuitive, hands-on experience.
The goal of this tool is to make Euclid’s ideas accessible and engaging for students and enthusiasts of all ages. It allows exploration, experimentation, and discovery — just as Euclid would have encouraged over two thousand years ago.