proofs

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25 09, 2017

Pythagorean Theorem proof

By |2019-09-04T05:47:27-07:00September 25th, 2017|Greeks|0 Comments

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 [...]

6 09, 2017

Logic and the scientific method

By |2018-05-31T11:49:22-07:00September 6th, 2017|Science|0 Comments

An eclipse of the moon. You can see the curved shadow of the Earth. Once people have seen that something happens through observation, sooner or later it will occur to them to ask why it happens. And is there any way to prove that it will happen the same way every time? Sumerians developed advanced math to [...]

6 09, 2017

Ancient and medieval science

By |2018-04-25T10:30:30-07:00September 6th, 2017|History, Science|0 Comments

Chinese star chart possibly dating from the 600s AD, during the T'ang Dynasty Science means "knowing" in Latin. It is the process of learning things about the world. People have always wanted to learn more about their world, and they have tried a lot of different ways to find things out. Some of the ways they tried [...]

28 07, 2017

Proof for the area of a circle

By |2019-04-06T08:43:58-07:00July 28th, 2017|Math|0 Comments

Proof for the area of a circle: Divide a circle up into sections like an orange Euclid's proof We know it's true that A=πr-squared is the area of a circle, but how can we prove that this formula is always true for every possible circle? Here's how Euclid did it. Who was Euclid? Area of a circle More [...]

21 07, 2017

Jainism – religion in medieval India

By |2019-10-10T08:00:34-07:00July 21st, 2017|India, Religion|0 Comments

Jainism: A Jain statue, possibly Mahavira, from about 1200 AD When did Jains get started? Nobody knows when people first began to follow Jain ideas. Some Jain traditions take their history back to about 2000 BC, in the Harappan period. More about Buddhism Indian religions All our India articles The first definite evidence of Jain faith, [...]

18 07, 2017

Who was Pythagoras? Greek Mathematics

By |2019-09-13T07:00:22-07:00July 18th, 2017|Greeks|10 Comments

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 [...]

18 07, 2017

Greek mathematics – Geometry and Proofs

By |2019-08-19T21:34:39-07:00July 18th, 2017|Greeks, Math|1 Comment

Greek mathematics: 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. Ancient Greek numbers What is algebra? All our ancient Greece articles They found it very hard [...]

18 07, 2017

Who was Euclid? History of Geometry

By |2019-05-31T20:43:18-07:00July 18th, 2017|Africa, Egypt, Science|0 Comments

An Egyptian papyrus from about 100 AD which is a piece of one of Euclid's books Euclid's life and background Nobody knows much about Euclid's life anymore - it is all forgotten. We only know that he worked at the University of Alexandria, in Egypt, for a while. University of Alexandria Greek mathematics Egyptian math [...]

18 07, 2017

How to prove the Pythagorean Theorem

By |2018-04-23T14:18:29-07:00July 18th, 2017|Greeks, Science|0 Comments

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 [...]

18 07, 2017

Who was Archimedes? Eureka!

By |2019-02-01T06:23:28-07:00July 18th, 2017|History|0 Comments

Archimedes was from Syracuse, Sicily. Here you see it with Mount Etna in the background When did Archimedes live? Archimedes was born about 287 BC, so he was a little younger than Euclid. Archimedes' father was an astronomer, so he grew up knowing a lot about science and math. Who was Euclid? Greek astronomy History [...]