Professor Dave Explains
Basic Euclidian Geometry: Points, Lines, and Planes
An overview of basic euclidian geometry.
Extra Credits
The History of Non-Euclidian Geometry - Sacred Geometry - Extra History - #1
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? Support us on Patreon!...
Extra Credits
The History of Non-Euclidian Geometry - A Most Terrible Possibility - Extra History - #4
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...
Extra Credits
The History of Non-Euclidian Geometry - Squaring the Circle - Extra History - #3
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....
Extra Credits
The History of Non-Euclidian Geometry - The Great Quest - Extra History - #2
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...
3Blue1Brown
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
Curated Video
Geometry: Euclid
Although little is known about his life, through his textbook, 'The Elements', Euclid has become possibly the most prolific maths teacher ever. Maths - History Of Maths A Twig Math Film. Reinforce and extend the learning required by the...
Extra Credits
The History of Non-Euclidian Geometry - The World We Know - Extra History - #5
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...
3Blue1Brown
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
Curated Video
Baseball's Home Plate Is IMPOSSIBLE Mathematically
Home base is defined by a geometric construction. Take a square whose side is 17" and then remove two corners. The adjacent sides are 8.5", and the two remaining sides are 12" and meet at a right angle. The only problem: this is an...
Annenberg Foundation
Annenberg Learner: Mathematics Illuminated: Geometries Beyond Euclid
Video presentation will help you visualize non-Euclidean geometry, comparing flat space with curved space and how they affect shape. Contains a history of non-Euclidean geometry, detailed discussion of curved vs. flat surfaces, and...