
Theorems of classical geometry
Classical geometry theorems include fundamental truths about points, lines, circles, and shapes. For example, Thales' Theorem states that if you draw a triangle inside a circle with one side as the diameter, the opposite angle is a right angle. Pythagoras' Theorem says that in a right-angled triangle, the square of the longest side (hypotenuse) equals the sum of the squares of the other two sides. These theorems reveal consistent relationships, helping us understand the properties and sizes of shapes, and serve as foundational tools for both theoretical studies and practical applications like engineering and architecture.