Straight lines defined for a triangle

Euler line

In geometry, the Euler line, named after Leonhard Euler (/ˈɔɪlər/), is a line determined from any triangle that is not equilateral. It is a central line of the triangle, and it passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle. The concept of a triangle's Euler line extends to the Euler line of other shapes, such as the quadrilateral and the tetrahedron. (Wikipedia).

Euler line
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Euler Pronunciation: In Depth Analysis

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From playlist Fun and Amazing Math

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Euler’s method - How to use it?

► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,

From playlist Differential Equations

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Introduction to Euler Paths and Euler Circuits

This video introduces Euler paths and Euler circuits. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

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Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

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Graph Theory: Euler Paths and Euler Circuits

This lesson explains Euler paths and Euler circuits. Several examples are provided. Site: http://mathispower4u.com

From playlist Graph Theory

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Euler equation

Solves the Euler differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector Calculus for Engineers: htt

From playlist Differential Equations

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Euler Groups

This is a video that explains Euler Groups and incudes a coding demonstration for constructing the Cayley Table. The link to the JS Fiddle is: https://jsfiddle.net/colebabiuch/jpem1d73/10/

From playlist Summer of Math Exposition Youtube Videos

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Math Explorations Ep23, More Euler circuits & paths (Mar 25, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Lec 2 | MIT 18.03 Differential Equations, Spring 2006

Euler's Numerical Method for y'=f(x,y) and its Generalizations. View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.03SC Differential Equations, Fall 2011

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What is algebra and geometry? | Is Euler's Number Geometric? | Part 2 -- Why are π and e linked?

Part 3: https://youtu.be/c7ilUAqAxyU The full series on Euler's number: Part 1: https://youtu.be/rbmUqseGOOM Part 2: https://youtu.be/YgScek3GkdI Part 3: https://youtu.be/c7ilUAqAxyU Part 4: https://youtu.be/oU5elvZL0uU Part 5: https://youtu.be/EoFhgYySUgk Given any conversation between

From playlist Is Euler's Number Geometric?

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Kirsten Wickelgren - Integrability Result for 𝔸^1-Euler Numbers

Notes: https://nextcloud.ihes.fr/index.php/s/q5f4YriEPGq6dBJ -- 𝔸^1-Euler numbers can be constructed with Hochschild homology, self-duality of Koszul complexes, pushforwards in 𝑆𝐿_𝑐 oriented cohomology theories, and sums of local degrees. We show an integrality result for 𝔸^1-Euler number

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Marc Levine: Refined enumerative geometry (Lecture 4)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 4: Characteristic classes in Witt-cohomology Classical enumerative geometry relies heavily on the theory of Chern classes of vector bundles and the splitting principle, which

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Marc Levine: Refined enumerative geometry (Lecture 3)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Lecture 3: Virtual fundamental classes in motivic homotopy theory Using the formalism of algebraic stacks, Behrend-Fantechi define the intrinsic normal cone, its fundamental class in

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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The Basel Problem Part 2: Euler's Proof and the Riemann Hypothesis

In this video, I present Euler's proof that the solution to the Basel problem is pi^2/6. I discuss a surprising connection Euler discovered between a generalization of the Basel problem and the Bernoulli numbers, as well as his invention of the zeta function. I explain Euler's discovery of

From playlist Analytic Number Theory

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Geometry of Surfaces - Topological Surfaces Lecture 4 : Oxford Mathematics 3rd Year Student Lecture

This is the fourth of four lectures from Dominic Joyce's 3rd Year Geometry of Surfaces course. The four lectures cover topological surfaces and conclude with a big result, namely the classification of surfaces. This lecture covers connected sums, orientations, and finally the classificatio

From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces

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Euler's Identity (Equation)

This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com

From playlist Mathematics General Interest

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Elizabeth Munch (10/14/22): The directional transform

Title: The directional transform, or how to look at your data from every direction at once Abstract: The field of topological data analysis (TDA) has emerged as a robust method for measuring the shape of data. This field of research takes ideas from algebraic topology, in concert with id

From playlist AATRN/STMS

Related pages

Hypotenuse | Exeter point | Right triangle | Sylvester's triangle problem | Face (geometry) | Automedian triangle | Circumcenter of mass | Orthocentric system | Schiffler point | Concurrent lines | Simplicial polytope | Line (geometry) | Three-dimensional space | Extended side | Central line (geometry) | Nine-point center | Numberphile | Alexander Bogomolny | Triangle center | Equilateral triangle | Nine-point circle | Orthocentroidal circle | Quadrilateral | Circumscribed circle | Isosceles triangle | Incenter | Circumcenter | Median (geometry) | Simplex | Tetrahedron | Cartesian coordinate system | Gossard perspector | Altitude (triangle) | Linear combination | Trilinear coordinates | Bisection | De Longchamps point | Tangential triangle | Orthocenter | Barycentric coordinate system | Euclidean vector | Geometry | Leonhard Euler | Centroid | Triangle