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Season 47
Before we get into non-Euclidian geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate?
Before we get into non-Euclidian geometry, we have to know: what even is geometry? What's up with the Pythagorean math cult? Who was Euclid, for that matter? And what the heck is the 5th Postulate?
For hundreds of years, Euclid's geometry disappeared with the fall of the Roman Empire. But in Constantinople, Islamic mathematicians, including Al-Khwarizmi (who gave us the word "algebra") worked long and hard on proving the Fifth Postulate.
For hundreds of years, Euclid's geometry disappeared with the fall of the Roman Empire. But in Constantinople, Islamic mathematicians, including Al-Khwarizmi (who gave us the word "algebra") worked long and hard on proving the Fifth Postulate.
47x3
The History of Non-Euclidian Geometry - Squaring the Circle
Episode overview
Euclidean geometry eventually found its way back into Europe, inspiring René Descartes to create the Cartesian coordinate system for maps, and Isaac Newton to invent calculus. Both these tools helped humanity understand the world better.
Euclidean geometry eventually found its way back into Europe, inspiring René Descartes to create the Cartesian coordinate system for maps, and Isaac Newton to invent calculus. Both these tools helped humanity understand the world better.
47x4
The History of Non-Euclidian Geometry - A Most Terrible Possibility
Episode overview
In the early 19th century, people started to wonder if the Fifth Postulate couldn't be proven at all--meaning that it could be right, but it could also be wrong. Bolyai, Lobachevsky, and
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In the early 19th century, people started to wonder if the Fifth Postulate couldn't be proven at all--meaning that it could be right, but it could also be wrong. Bolyai, Lobachevsky, and Riemann started exploring hyperbolic geometry and other strange realms...
47x5
Season finale
The History of Non-Euclidian Geometry - The World We Know
Episode overview
Up until the 20th century, people assumed light behaved like a wave, passing through the "aether wind"--a fluid with incomprehensible properties. When the Michelson-Morley experiment
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Up until the 20th century, people assumed light behaved like a wave, passing through the "aether wind"--a fluid with incomprehensible properties. When the Michelson-Morley experiment disproved the aether's existence, Einstein put out the theory of relativity--that space and time were part of the same package.
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