Euclidean geometry | Theorems about quadrilaterals

Euler's quadrilateral theorem

Euler's quadrilateral theorem or Euler's law on quadrilaterals, named after Leonhard Euler (1707–1783), describes a relation between the sides of a convex quadrilateral and its diagonals. It is a generalisation of the parallelogram law which in turn can be seen as generalisation of the Pythagorean theorem. Because of the latter the restatement of the Pythagorean theorem in terms of quadrilaterals is occasionally called the Euler–Pythagoras theorem. (Wikipedia).

Euler's quadrilateral theorem
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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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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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Informal Proof of Euler's Formula (2 of 2: Trigonometric calculus)

If you enjoyed this, you can also check out my expanded series of videos that introduces Euler's Formula from "first principles" and concludes with Euler's Identity: https://www.youtube.com/playlist?list=PLHZZ0otaqNsWV01h2ZssT17Tj8fbtLiuM More resources available at www.misterwootube.com

From playlist Introduction to Complex Numbers

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Theory of numbers: Congruences: Euler's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim

From playlist Theory of numbers

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Euler's formula: A cool proof

How to derive Euler's formula using differential equations! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook A somewhat new proof for the famous formula of Euler. Here is the famous formula named after the mathematician Euler. It relates the exponential with cosin

From playlist Intro to Complex Numbers

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Number Theory | Euler's Theorem Example 1

We present an example problem that uses Euler's theorem. http://www.michael-penn.net

From playlist Number Theory

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Joel Hass - Lecture 3 - Algorithms and complexity in the theory of knots and manifolds - 20/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Differential Equations | The solution of a Cauchy-Euler Differential Equation

We prove a general theorem regarding the form of a solution of a Cauchy-Euler Differential Equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Mathematics named after Leonhard Euler

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Euler's Theorem

Learn how to apply Euler's Theorem to find the number of faces, edges, and vertices in a polyhedron in this free math video tutorial by Mario's Math Tutoring. We go through some examples in this video. 0:13 What is Euler's theorem 1:06 Example 1 we look at a rectangular prism 1:51 Example

From playlist Geometry

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AlgTop16: Rational curvature of polytopes and the Euler number

We show that the total curvature of a polyhedron is equal to its Euler number. This only works with the rational formulation of curvature, using an analog of the turn angle suitable for the 2 dimensional sphere. This important modification to the theory is original with this lecture series

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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Triangle Centres and the Euler Line (extra footage)

MAIN VIDEO IS AT: https://youtu.be/wVH4MS6v23U Featuring Zvezdelina Stankova. Editing and animation by Pete McPartlan. Thanks also to Tom Davis of http://geometer.org More videos with Zvezda: http://bit.ly/zvezda_videos NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Face

From playlist Women in Mathematics - Numberphile

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The Computational Complexity of Geometric Topology Problems - Greg Kuperberg

Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo

From playlist Mathematics

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Geometry Final Exam Review

Geometry Final Exam Giant Review video by Mario's Math Tutoring. We go through 55 Question Types with over 100 Examples to help you prepare for your Geometry 2nd Semester Final Exam. 00:00 Intro 0:24 Pythagorean Theorem 1:31 Pythagorean Triples 3:09 Triangle Inequality Theorem & Pythagor

From playlist Regents Exam Review

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Proving Euler's Formula (2 of 4: Differentiating both sides)

More resources available at www.misterwootube.com

From playlist Introduction to Complex Numbers

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Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Integrating GeoGebra into a Geometry Curriculum - Florida GeoGebra Conference 2022: Part 7

Here, Sarah Toosarvandani shows us some ways she integrates GeoGebra into her geometry curriculum at her school!

From playlist 2022 Florida GeoGebra Conference

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AlgTop17: Classification of combinatorial surfaces I

This lecture introduces the central theorem in Algebraic Topology: the classification of two dimensional combinatorial surfaces. We use cut and paste operations to reduce any combinatorial surface into a standard form, and also introduce an algebraic expression to encode this standard form

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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YOU CAN'T USE EULER'S IDENTITY TO PROVE THE ANGLE SUM IDENTITIES! | Tricky Parts of Calculus, Ep. 4

I give multiple proofs of the angle sum identities sin(x+y) = sin(x)cos(y) + sin(y)cos(x) and cos(x+y) = cos(x)cos(y) - sin(x)sin(y) from different perspectives. I stress that a very common presentation of these formulas based on Euler's identity e^(ix) = cos(x) + i sin(x) is circular and

From playlist Math

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Euler's Formula for the Quaternions

In this video, we will derive Euler's formula using a quaternion power, instead of a complex power, which will allow us to calculate quaternion exponentials such as e^(i+j+k). If you like quaternions, this is a pretty neat formula and a simple generalization of Euler's formula for complex

From playlist Math

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The Discrete Charm of Geometry by Alexander Bobenko

Kaapi with Kuriosity The Discrete Charm of Geometry Speaker: Alexander Bobenko (Technical University of Berlin) When: 4pm to 6pm Sunday, 22 July 2018 Where: J. N. Planetarium, Sri T. Chowdaiah Road, High Grounds, Bangalore Discrete geometric structures (points, lines, triangles, recta

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)

Related pages

Rectangle | Intercept theorem | Parallelogram law | Parallelogram | Cycle graph | Pythagorean theorem | Convex polygon | Leonhard Euler