Greek History of mathematics | Geometry | number theory | pythagoras theorem | Euclid space

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Published on April 18, 2023 4:18:08 PM ● Video Link: https://www.youtube.com/watch?v=phokw8zG1Tc

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Ancient Greek mathematicians made significant contributions to the development of mathematics, particularly in the areas of geometry and number theory. They used mathematics to solve practical problems such as land surveying, construction, and navigation. However, they were also interested in mathematical concepts for their own sake and pursued abstract ideas and proofs.

One of the most famous Greek mathematicians was Euclid, who wrote the Elements, a foundational text on geometry that is still used today. Euclid and other Greek mathematicians used geometry to study the properties of shapes, angles, and lines. They developed the concept of proofs, which involves using logical arguments to demonstrate the truth of a mathematical statement.

Greek mathematicians also made important contributions to number theory, the study of the properties of numbers. Pythagoras, for example, discovered the famous theorem that bears his name, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Greek mathematicians also developed the concept of irrational numbers, such as the square root of two, which cannot be expressed as a simple fraction.

Overall, ancient Greek mathematicians used math to solve practical problems, explore abstract concepts, and develop rigorous proofs that formed the basis of modern mathematics.