Articles containing proofs | Theorems about triangles and circles | Euclidean plane geometry
In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements. It is generally attributed to Thales of Miletus, but it is sometimes attributed to Pythagoras. (Wikipedia).
Thales' theorem, right triangles + Napier's rules| Universal Hyperbolic Geometry 29 | NJ Wildberger
This video establishes important results for right triangles in universal hyperbolic geometry--these are triangles where at least two sides are perpendicular. Besides Pythagoras' theorem, there is a simple result called Thales' theorem, giving a formula for a spread as a ratio of two quadr
From playlist Universal Hyperbolic Geometry
http://www.teachastronomy.com/ Thales was a philosopher who lived in the 6th century B.C. in Miletus, in what is now Turkey. No written work by Thales survives, but we know that he kept accurate eclipse records and he speculated about astronomy. He decided that the source of all things w
From playlist 02. Ancient Astronomy and Celestial Phenomena
This shows that a right-angled triangle can be drawn inside a circle and it can be proved that it is a right-angled triangle. No more no less
From playlist Summer of Math Exposition Youtube Videos
Bayes' Theorem - The Simplest Case
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM ►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw ►FULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS Bayes' Theorem is an inc
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem
In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
The Presocratics: Crash Course History of Science #2
Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse So, who was this Presocrates guy? Just kidding! Long ago, some philosophers worked very hard to separate myths from what they actually knew about nature. Thales theorized that eve
From playlist History of Science
Number Theorem | Gauss' Theorem
We prove Gauss's Theorem. That is, we prove that the sum of values of the Euler phi function over divisors of n is equal to n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
Thales: Biography of a Great Thinker
Thales of Miletus was an ancient Greek scholar who is widely considered to be the first mathematician and the first philosopher. He was one of the Seven Sages of Greece. Host: Liliana de Castro Artwork: Kim Parkhurst Written & Directed by Michael Harrison Produced by Kimberly Hatch Har
From playlist It Starts With Literacy
Presocratics Part 1: Early Greek Philosophy
When people think of philosophy, they often transport themselves to Ancient Greece. This era was a hotbed of intellectual activity, and it produced some of the most influential minds in human history. But before we get to the most famous ones, Socrates and his lineage, we have to discuss t
From playlist Philosophy/Logic
Chapter 9 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Lunes of Alhazen: A Surprisingly Simple Proof
The Lunes of Alhazen is a thousand year-old construct credited to Arab mathematician and physicist al-Hasan Ibn al-Haytham, also known as Alhazen. More info about Ibn al-Haytham, who really should be better known than he is: https://en.wikipedia.org/wiki/Ibn_al-Haytham https://www.youtube
From playlist Mathy Videos
A curious proof of cone's volume #SoME1 #SummerofMathExposition #3blue1Brown #geometry #cone
If you have seen lots of times the formula for the volume of a cone but weren't able to prove it, or you only demonstrate it years after you learned it; this is your video. We'll introduce ourselves in a different proof, which you can do by yourself practically from scratch. Additionally,
From playlist Summer of Math Exposition Youtube Videos
This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using Thales theorem . #math #amgminequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #inequality #mathshorts #mathvideo
From playlist MathShorts
AM-GM Inequality II (visual proof)
This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using Thales theorem . #mathshorts #mathvideo #math #amgminequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #inequality
From playlist Inequalities
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics