In geometry, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the lines connecting the centres of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the inner or outer Napoleon triangle. The difference in the areas of the outer and inner Napoleon triangles equals the area of the original triangle. The theorem is often attributed to Napoleon Bonaparte (1769–1821). Some have suggested that it may date back to W. Rutherford's 1825 question published in The Ladies' Diary, four years after the French emperor's death, but the result is covered in three questions set in an examination for a Gold Medal at the University of Dublin in October, 1820, whereas Napoleon died the following May. (Wikipedia).
An Unusual Way to Prove Napoleon's Theorem
There are many videos on the internet about Napoleon's Theorem, but this one explains it the MathyJaphy way, which I like to think is unique. A viewer asked whether a vector-based proof, similar to the one seen in my video on Van Aubel's Theorem, existed for Napoleon's. They're very simi
From playlist Mathy Videos
Napoleon's Theorem: Dynamic Illustration Without Words
Link: https://www.geogebra.org/m/kWmfeE4R
From playlist Geometry: Challenge Problems
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
Calculus 5.3 The Fundamental Theorem of Calculus
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Napoleon Bonaparte: Master of Europe - Part 2
This is part two of my Napoleon Bonaparte Series how he came to power in the french revolution and the help of Robespierre to launch a continent spanning war and declaring himself master of Europe and emperor of the french Explaining why he's so revered in history and what made him specia
From playlist Biographies
A Beautiful Proof of Ptolemy's Theorem.
Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual
From playlist Mathy Videos
You may have heard that Napoleon Bonaparte, the Emperor of France, was a short man. But that's all wrong. Learn where this longstanding discrepancy came from. Tune in for new episodes every Monday, Tuesday and Thursday! Watch More Stuff You Should Know on TestTube http://testtube.com/stu
From playlist Stuff You Should Know
Viviani's Theorem: "Proof" Without Words
Link: https://www.geogebra.org/m/BXUrfwxj
From playlist Geometry: Challenge Problems
The Mathologer sets out to detect the work of the Illuminati in absolutely everything. Featuring Morley's Miracle, the Teletubbies, the winter triangle and much more. There is also a part 2 including an animated proof of Morley's Miracle: https://youtu.be/gjhmh3yWiTI Our friend Bryn Bar
From playlist Recent videos
We present updates to the automated geometric functionality of the Wolfram Language introduced in Version 12, including new functionality for automated geometric reasoning and for creating GeometricScene objects.
From playlist Wolfram Technology Conference 2022
Twitch Talks - High-School Geometry
Presenter: Dan McDonald Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on October 3, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolfram.com/language/
From playlist Twitch Talks
History of Non-Euclidean Geometry - Lies - Extra History - #6
You gently corrected out our math mistakes and artistic slip-ups, and we're here to tell you it was all part of Bismarck's plans--er, it's Euclid's fault. Time for another episode of Lies! Support us on Patreon! http://bit.ly/EHPatreon (--More below) Grab your Extra Credits gear at the st
From playlist Extra History: Chronological Order (1700 CE - Present)
Journée de la Revue d’histoire des mathématiques - Sara Confalonieri - 01/12/17
Journée de la Revue d’histoire des mathématiques (séance préparée par la rédaction de la RHM) Sara Confalonieri (Bergische Universität Wuppertal), « Sur les théorèmes de Sturm et Fourier » ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre
From playlist Séminaire d'Histoire des Mathématiques
8ECM Public Lecture: Robin Wilson
From playlist 8ECM Public Lectures
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
The Napoleonic Wars - OverSimplified (Part 1)
Go to https://NordVPN.com/OverSimplified to get a 2-year plan plus 1 additional month with a huge discount. It’s risk free with Nord’s 30 day money-back guarantee! MERCH (Napoleon pin OUT NOW!) - https://www.oversimplified.tv/merch Support us on Patreon (please): https://www.patreon.com/o
From playlist OverSimplified History
The Second Fundamental Theorem of Calculus
This video introduces and provides some examples of how to apply the Second Fundamental Theorem of Calculus. Site: http://mathispower4u.com
From playlist The Second Fundamental Theorem of Calculus
The Napoleonic Wars - OverSimplified (Part 2)
Get Honey for FREE ▸ http://joinhoney.com/oversimplified Honey finds coupons with one click. Thanks to Honey for sponsoring! MERCH (Napoleon pin OUT NOW!) - https://www.oversimplified.tv/merch Support us on Patreon (please): https://www.patreon.com/oversimple Facebook: https://www.facebo
From playlist OverSimplified History