Theorems about triangles and circles

Lester's theorem

In Euclidean plane geometry, Lester's theorem states that in any scalene triangle, the two Fermat points, the nine-point center, and the circumcenter lie on the same circle.The result is named after June Lester, who published it in 1997, and the circle through these points was called the Lester circle by Clark Kimberling.Lester proved the result by using the properties of complex numbers; subsequent authors have given elementary proofs, proofs using vector arithmetic, and computerized proofs. (Wikipedia).

Lester's theorem
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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

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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

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Calculus: The Fundamental Theorem of Calculus

This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.

From playlist Calculus

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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

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Multivariable Calculus | The Squeeze Theorem

We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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The Squeeze Theorem

This video explains the Squeeze (Sandwich) Theorem and provides an example. http://mathispower4u.com

From playlist Calculus Proofs

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K-groups and Global Fields by Haiyan Zhou

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Akshay Venkatesh - 2/4 Analytic number theory around torsion homology

Akshay Venkatesh - Analytic number theory around torsion homology

From playlist École d'été 2014 - Théorie analytique des nombres

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New Cohen-Lenstra heuristics by constructing measures from moments - Will Sawin

Joint IAS/PU Number Theory Seminar Topic: New Cohen-Lenstra heuristics by constructing measures from moments Speaker: Will Sawin Affiliation: Columbia University Date: October 06, 2022 The Cohen-Lenstra heuristics give predictions for the distribution of the class groups of a random quad

From playlist Mathematics

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Peter Winkler - Drawing from Urns - CoM Apr 2021

Many problems in probability and statistics can be modeled as follows: before you are two urns containing some colored balls. You know the contents of urn A, and the (different) contents of urn B, but you don't know which urn is A and which is B. You get two chances to draw a ball at rando

From playlist Celebration of Mind 2021

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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

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What is a real number?

Ordered Fields In this video, I define the notion of an order (or inequality) and then define the concept of an ordered field, and use this to give a definition of R using axioms. Actual Construction of R (with cuts): https://youtu.be/ZWRnZhYv0G0 COOL Construction of R (with sequences)

From playlist Real Numbers

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Differential Equations | Application of Abel's Theorem Example 2

We give an example of applying Abel's Theorem to construct a second solution to a differential equation given one solution. www.michael-penn.net

From playlist Differential Equations

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Homeroom with Sal & Lester Holt - Friday, August 14

What is it like to do a news show for kids, and how can families talk to kids about the unprecedented times we live in? NBC Nightly News Anchor Lester Holt joins Sal tomorrow at noon PT to share his experience, and what it's like covering this presidential election. For more information v

From playlist Homeroom with Sal

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The Electric Guitar: Where did it come from? | Stuff of Genius

According to his piano teacher, Les Paul had no musical talent. Yet he overcame this inauspicious beginning to become a legendary songwriter -- even inventing the modern electric guitar on the way. Stuff of Genius tells the story behind everyday inventions. From the bikini to super wheat

From playlist Stuff of Genius: Where did it come from?

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RailsConf 2017: Keynote by Marco Rogers

RailsConf 2017: Keynote by Marco Rogers

From playlist RailsConf 2017

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Dancer Carmen de Lavallade Reflects on Her Career in "As I Remember It" | Big Think

Dancer Carmen de Lavallade Reflects on Her Career in "As I Remember It" Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- For

From playlist Best Videos | Big Think

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Math 139 Fourier Analysis Lecture 35: Dirichlet's theorem pt. 2

Dirichlet's theorem: reduction of the problem. Dirichlet L-function. Product formula for L-functions. Extension of the logarithm to complex numbers. Convergence of infinite products.

From playlist Course 8: Fourier Analysis

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Calculus - The sandwich theorem

This video explains more about the sandwich theorem and how we use it to find the limit of a function. This theorem is also known as the squeeze theorem. For more videos visit http://www.mysecretmathtutor.com

From playlist Calculus

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Banach Fixed Point Theorem

In this video, I prove the celebrated Banach fixed point theorem, which says that in a complete metric space, a contraction must have a fixed point. The proof is quite elegant and illustrates the beauty of analysis. This theorem is used for example to show that ODE have unique solutions un

From playlist Real Analysis

Related pages

Van Lamoen circle | Complex number | Scalene triangle | Nine-point center | Geometry | Fermat point | Euclidean plane | Circumcenter