## Greek math: geometry not algebra

Because people in ancient Greece had only very clumsy ways of writing down numbers, they didn’t like algebra.

### Ancient Greek numbers

What is algebra?

All our ancient Greece articles

They found it very hard to write down equations or number problems. Instead, Greek mathematicians were more focused on geometry, and used geometric methods to solve problems that you might use algebra for.

### Egyptian mathematics

Babylonian mathematics

Greek mathematicians were also very interested in proving that certain mathematical ideas were true. So they spent a lot of time using geometry to prove that math facts were always true, even though people like the Egyptians and Babylonians already knew that these math facts were true most of the time anyway.

## Math – beautiful like music and architecture

Greek people in general were very interested in rationality, in things making sense and hanging together. They wanted to tie up the loose ends. They liked music, because music followed strict rules to produce beauty. So did architecture, and so did mathematics.

### Nomos and physis

Ancient Greek music

Rhythm and Greek temples

## Thales, Pythagoras, Euclid

The first famous Greek mathematician was Thales (who was actually from a Greek city in West Asia). In the 600s BC, Thales figured out how to use shadows to calculate the height of the Egyptian pyramids.

### Who was Thales?

What about Pythagoras?

Who was Euclid?

About a hundred years later, Pythagoras (or someone else) proved that the Pythagorean Theorem was always true. Then in the 300s BC, Euclid (who was born in Egypt, in Africa, but spoke Greek) wrote a famous geometry book proving many more mathematical ideas about the area of a circle, the volume of spheres, and much more.

### Proof of the area of a circle

## Archimedes and pi

Archimedes probably knew Euclid; he lived in a Greek city in Sicily. Archimedes worked on getting a more accurate number for pi, and a proof for calculating the circumference of a circle. (So all of these men spoke Greek, but none of them actually lived in Greece.)

### Who was Archimedes?

Circumference proof

Probably both Euclid and Archimedes knew something about the work Indian mathematicians were doing at the same time with infinity and combinations. Possibly Indian mathematicians also knew about Euclid and Archimedes’ work.

### Indian mathematics

What is infinity?

Did you find out what you wanted to know about early Greek math? Let us know in the comments!

## Learn by doing: the circumference of a circle

More about the Pythagorean Theorem

## Bibliography and further reading about Greek mathematics:

The Joy of Pi, by David Blatner (1999). It’s not all about ancient Greece, but some of it is. For teenagers.

History of Greek Mathematics: From Aristarchus to Diophantus, by Thomas L. Heath (1921, reprinted 1981). A lot of Euclid, but also describes who the other major Greek mathematicians were and what they did.

Episodes from the Early History of Mathematics, by Asger Aaboe (1997).

BJAugust 19, 2019 at 1:39 amVery insightful.