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Euclid

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Ancient papyrus fragment with text from Euclid's Elements, an important work of mathematics.

Euclid was an ancient Greek mathematician who lived around 300 BC. He is often called the "father of geometry" because of his famous work called the Elements. This book explained the basics of geometry in a clear way that many people used for years.

Euclid's ideas, known as Euclidean geometry, helped people understand shapes and space better.

We do not know much about Euclid's life. Some think he may have worked in Alexandria and studied at the Platonic Academy. His writing showed how to start with simple ideas, called axioms, and build up more complex ideas, called theorems.

Euclid also wrote about light and sight in his work Optics, as well as numbers and shapes on spheres. His books were very important and influenced many great thinkers, including Archimedes and Apollonius of Perga.

Life

Detail of Raphael's impression of Euclid, teaching students in The School of Athens (1509–1511)

The name 'Euclid' means "renowned, glorious" in ancient Greek. We do not know much about Euclid’s life. He is best known for writing a famous book called Elements. This book was the main guide for learning geometry for many centuries.

Euclid likely lived around 300 BC. Scholars think he might have studied in Athens and later taught in Alexandria, a city founded by Alexander the Great. His book Elements gathered ideas from earlier Greek mathematicians and created a system of geometry that we still study today.

Works

A papyrus fragment of Euclid's Elements dated to c. 75–125 AD. Found at Oxyrhynchus, the diagram accompanies Book II, Proposition 5.

Euclid is best known for his book called the Elements. This book gathers together many mathematical ideas from earlier thinkers and adds new proofs. It talks about many things, like flat shapes, numbers, and solid shapes. The Elements has different parts, and the first part looks at basic ideas about lines and angles. It also includes important rules, such as the Pythagorean theorem, which helps us understand the sides of a triangle with a right angle.

Euclid also wrote other books. These include studies on mirrors, how we see things, and dividing shapes evenly. Some of his other books have been lost, but we know about them from other ancient writers. These lost books probably talked about curves, mistakes in geometry, and special points in shapes.

Euclid's postulates and common notions
No.Postulates
Let the following be postulated:
1To draw a straight line from any point to any point
2To produce a finite straight line continuously in a straight line
3To describe a circle with any centre and distance
4That all right angles are equal to one another
5That, if a straight line falling on two straight lines make the
interior angles on the same side less than two right angles,
the two straight lines, if produced indefinitely, meet on that side
on which are the angles less than the two right angles
No.Common notions
1Things which are equal to the same thing are also equal to one another
2If equals be added to equals, the wholes are equal
3If equals be subtracted from equals, the remainders are equal
4Things which coincide with one another are equal to one another
5The whole is greater than the part

Legacy

The cover page of Oliver Byrne's 1847 colored edition of the Elements

Euclid is one of the greatest mathematicians of ancient times, like Archimedes and Apollonius of Perga. His book, the Elements, started the foundations of geometry and was important for many years. Today, this type of geometry is called Euclidean geometry to make it different from other types found later.

The Elements is one of the most published and studied books ever, sometimes compared to the Bible for its influence. Many things are named after Euclid, such as a spacecraft, a lunar crater, and a minor planet.

Images

A 17th-century painting of Euclid of Megara, an ancient philosopher, depicted in scholarly surroundings with books and globes.
The western side of the Parthenon, an ancient Greek temple located in Athens.

This article is a child-friendly adaptation of the Wikipedia article on Euclid, available under CC BY-SA 4.0.

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