Pythagoras

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Pythagorean Theorem proof

By |2018-04-23T14:19:10+00:00September 25th, 2017|Greeks, Math|

A right triangle. This is the proof of the Pythagorean Theorem supposedly written by Pythagoras about 500 BC: The Pythagorean Theorem says that in a right triangle, the sum of the squares of the two right-angle sides will always be the same as the square of the hypotenuse (the long side). A2 + B2 = C2. Try it yourself: if Side [...]

Zoroastrianism – Iran – West Asian religion

By |2018-06-11T18:34:59+00:00September 15th, 2017|Religion, West Asia|

An Iranian fire sacrifice Zoroaster/Zarathustra himself Around 1000 BC (probably), about the same time that people in India were writing the Rig Veda, a man named Zoroaster (also called Zarathustra) was a priest in a small temple in the eastern part of West Asia, in an area with a lot of small kingdoms and no major power. Zoroaster believed that [...]

Albigensians – Cathars – Crusade

By |2018-04-18T17:19:17+00:00August 4th, 2017|Medieval, Religion|

This story starts about 1050 AD, not long after the Capetians took power in northern France. Some Christian people in the south of France began to think differently about God from the other Christians around them. These Christians called themselves "Good Christians." Other people called them Cathars (from a Greek word for 'pure'), or Albigensians (because some of them came from the [...]

Geometry made easy!

By |2018-04-23T16:00:35+00:00July 29th, 2017|Math|

This is an equilateral trangle. The simplest geometric idea is the point, and then the line, the plane, and the solid. Shapes like circles, squares, rectangles, and triangles are flat, and we can think of them as being parts of a plane, flat like a drawing. Shapes like spheres, cubes, and pyramids are solid, and we can think of them as being part of the whole universe [...]

Who was Thales of Miletus? Greek Astronomy

By |2018-04-23T14:20:25+00:00July 18th, 2017|Greeks, Science|

Thales of Miletus might have watched plays in this theater at Miletus (before it had stone seats) Biography of Thales Thales was born in what's now Turkey, in the city of Miletus, about 630 BC, during the Archaic period. At that time, Miletus was a city where people spoke Greek, though it may have paid taxes or [...]

Who was Pythagoras? Greek Mathematics

By |2018-10-01T10:46:35+00:00July 18th, 2017|Greeks, Math|

Near where Pythagoras lived: Doric temple at Paestum, Italy Who was Pythagoras? Pythagoras lived in the 500s BC. He was one of the first Greek mathematical thinkers that we know about, after Thales. Who was Thales? All about Greek mathematics Lots of articles about ancient Greece Pythagoras spent most of his life in the Greek colonies in [...]

Greek mathematics – Geometry and Proofs – Ancient Greece

By |2018-04-22T10:26:50+00:00July 18th, 2017|Greeks, Math|

Greek math: An Egyptian papyrus from about 100 AD which is a piece of one of Euclid's books Greek math: geometry not algebra Because people in ancient Greece had only very clumsy ways of writing down numbers, they didn't like algebra. They found it very hard to write down equations or number problems. Instead, Greek mathematicians were [...]

How to prove the Pythagorean Theorem

By |2018-04-23T14:18:29+00:00July 18th, 2017|Greeks, Science|

Diagram for proving the Pythagorean Theorem You can prove the Pythagorean Theorem for yourself, using the proof described on the Pythagorean Theorem page. Just get a square piece of paper, and draw the lines on it that you see in the third drawing (the drawing of a square). Draw the diagonal lines as in [...]

Who was Anaximander? Infinity and Greek science

By |2017-07-18T07:32:45+00:00July 18th, 2017|Greeks, Science|

Theater of Miletus Anaximander was born about 610 BC in the Greek city of Miletus, in what is now Turkey. So he was able to have the great mathematician Thales of Miletus as his teacher. Thales was probably about 35 when Anaximander was twenty years old. The two mathematicians worked together for most of their lives. Anaximander [...]

Ancient Greek science – math, astronomy, medicine

By |2018-08-22T14:21:07+00:00July 18th, 2017|Greeks, Science|

Ancient Greek science: Greek doctor letting blood out of a patient because he believes in the four humors When did Greek science get started? By about 600 BC, ancient Greek people were getting richer from trading between Egypt, West Asia, Carthage, and Europe. Now richer families could afford to send their boys to college. More boys got a good education and became scientists. Soon [...]