This video sets out a puzzle that uses the intersecting chord theorem to solve. Which led me to a couple of basic geometric properties that I did not explicitly know. Wikipedia:Intersecting Chord Theorem Wikipedia: Inscribed Angle
Dandelin spheres are a geometric construct that make it easy to prove properties of conic sections. This case proves the properties of an ellipse
Hippocrates of Chios solved this, nearly 100 years before Euclid even wrote The Elements, and before we knew the exact formula for the area of a circle. This is said to be the first precise mathematical of the area between two curved lines. Learn how he solved for the area Read more…
This function is famously confusing outside its "domain of convergence", but a certain visualization sheds light on how it extends. If I were awoken after having slept for a thousand years my first question would be: Has the Riemann hypothesis been proved? – David Hilbert Research Links Wikipedia: Proof Read more…
American-British physicist and mathematician, Freeman Dyson, was born in 1923. He is known for his achievements in solid state physics, nuclear engineering and quantum field theory. Interview PlayList 157 videos Research Links Cours d'analyse de l'EÌcole polytechnique An Elementary Treatise On Differential Equations by Piaggio,H.T.H. The Quantum Theory Of Radiation Read more…
Nassim Taleb On XIV: "Why People Who Make Money Are Usually Wrong" N N Taleb's Probability Moocs
Price’s Law says that 50% of work at a company is done by the square root of the number of employees. As an example take a company with 100 employees. In that company 10 people do 50% of the work.
Babylonian Triangle Table Research Links Wikipedia: Plimpton 322 Tablet Forget trigonometry, 'cos Babylonians did it better 3,700 years ago – by counting in base 60! Ancient Babylonian use of the Pythagorean Theorem and its Three Dimensions 60 is divisible by 1,2,3,4,5,6 leading to triangle calculations that results in divisions with Read more…