Theorems about triangles and circles

Conway circle theorem

In plane geometry, the Conway circle theorem states that when the sides meeting at each vertex of a triangle are extended by the length of the opposite side, the six endpoints of the three resulting line segments lie on a circle whose centre is the incentre of the triangle. The circle on which these six points lie is called the Conway circle of the triangle. The theorem and circle are named after mathematician John Horton Conway. (Wikipedia).

Conway circle theorem
Video thumbnail

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

Video thumbnail

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

Video thumbnail

Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

Circles and Solids: Radius, Diameter, and Naming Solids

This video explains how to determine the radius and diameter of a circle. Various solids are also named.

From playlist Circles

Video thumbnail

Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

Video thumbnail

Riemann Sum Defined w/ 2 Limit of Sums Examples Calculus 1

I show how the Definition of Area of a Plane is a special case of the Riemann Sum. When finding the area of a plane bound by a function and an axis on a closed interval, the width of the partitions (probably rectangles) does not have to be equal. I work through two examples that are rela

From playlist Calculus

Video thumbnail

Given a circle on a graph learn to write the equation of the circle

Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of the circle and the center of the circle is called th

From playlist Circles

Video thumbnail

Remembering John Conway - Part 4

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Doris Schattschneider - Two Conway Geometric Gems - CoM Oct 2021

John Conway enjoyed discovering unusual properties of triangles and also enjoyed discovering properties of tilings. Two of his discoveries bear his name: The Conway Circle, and The Conway Criterion. I’ll talk about these two gems; one led to a new tiling app. Doris Schattschneider, profes

From playlist Celebration of Mind 2021

Video thumbnail

Burkard Polster - Animating Conway - CoM Oct 2021

The plan is to show you very pretty animated proofs of two or three of John Conway’s ingenious theorems. The proof of the Conway Circle result discussed from 13:13 to 21:30 is by Paul Farrell of Technological University Dublin, see his YouTube video at Math Moves: https://www.youtube.com

From playlist Celebration of Mind 2021

Video thumbnail

A Tribute to Berlekamp, Conway, Guy, Graham, and Randi - G4G14 Apr 2022

In the long four years between G4G13 and G4G14, we lost some towering figures from the G4G community. It is hard for many of us to see how we can go on without them, but their legacy will live on. In this tribute session, we honor Elwyn Berlekamp, John Conway, Richard Guy, Ron Graham, and

From playlist G4G14 Videos

Video thumbnail

Remembering John Conway - Full Video

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Some identities involving the Riemann-Zeta function.

After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist The Riemann Zeta Function

Video thumbnail

Allison Moore - Essential Conway spheres and Floer homology via immersed curves

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Allison Moore, Virginia Commonwealth University Title: Essential Conway spheres and Floer homology via immersed curves Abstract: We consider the problem of whether Dehn surgery along a knot in the three-sphere produces an

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

Video thumbnail

Katherine Stange - The Sensual Apollonian Circle Packing

Talk given at the Pacific Northwest Number Theory Conference 2013.

From playlist My Math Talks

Video thumbnail

John Conway Circle Theorem Proof

An original dynamic proof of the late John Conway's Circle Theorem. Sadly, John died in 2020 from Covid 19. He has been described by fellow Mathematicians as a creative genius.

From playlist Summer of Math Exposition 2 videos

Video thumbnail

What is the equation for a circle

Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of the circle and the center of the circle is called th

From playlist Circles

Video thumbnail

Sporadic groups

This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans

From playlist Math talks

Related pages

Euclidean geometry | Line segment | Vertex (geometry) | Triangle | Circle | John Horton Conway