Euclidean geometry

Spiral similarity

Spiral similarity is a plane transformation in mathematics composed of a rotation and a dilation. It is used widely in Euclidean geometry to facilitate the proofs of many theorems and other results in geometry, especially in mathematical competitions and Olympiads. Though the origin of this idea is not known, it was documented in 1967 by Coxeter in his book Geometry Revisited. (Wikipedia).

Spiral similarity
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Introduction to Similarity

This video introduces similarity and explains how to determine if two figures are similar or not. http://mathispower4u.com

From playlist Number Sense - Decimals, Percents, and Ratios

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Similarity And Congruence: Similar Triangle in Triangle (Find Smaller) (Grade 5) - Maths Revision

Topic: Similarity And Congruence: Similar Triangle in Triangle (Find Smaller) Do this paper online for free: https://www.onmaths.com/similarity-and-congruence/ Grade: 5 This question appears on calculator higher and foundation GCSE papers. Practise and revise with OnMaths. Go to onmaths.c

From playlist Similarity And Congruence

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Labeling corresponding parts and proportions of sides of similar figures

Learn how to solve with similar polygons. Two polygons are said to be similar if the corresponding angles are congruent (equal). When two polygons are similar the corresponding sides are proportional. Knowledge of the length of the sides or the proportion of the side lengths of one of the

From playlist Similar Polygons

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Similarity And Congruence: Similar Triangle in Triangle (Find Larger) (Grade 5) - Maths Revision

Topic: Similarity And Congruence: Similar Triangle in Triangle (Find Larger) Do this paper online for free: https://www.onmaths.com/similarity-and-congruence/ Grade: 5 This question appears on calculator higher and foundation GCSE papers. Practise and revise with OnMaths. Go to onmaths.co

From playlist Similarity And Congruence

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What is similarity

๐Ÿ‘‰ Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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What is the similarity of triangles for SSS

๐Ÿ‘‰ Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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What is a linear pair

๐Ÿ‘‰ Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

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Similar Triangles Using Side-Side-Side and Side-Angle-Side

This video explains how to determine if two triangles are similar using SSS and SAS. Complete Video List: http://www.mathispower4u.yolasite.com

From playlist Similarity

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Geometry - How to show two triangles are similar using AA with parallel sides

๐Ÿ‘‰ Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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Milky Way Galaxy Has a Massive Feather Structure That Was Just Found

Good telescope that I've used to learn the basics: https://amzn.to/35r1jAk Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will tal

From playlist The Milky Way

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The Fibonacci spiral | Lecture 15 | Fibonacci Numbers and the Golden Ratio

How to construct a Fibonacci spiral. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Fibonacci Numbers and the Golden Ratio

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The Archimedean Spiral | Visually Explained (animation code also explained)

This is a video explaining what is so extraordinary about Archimedes, and the geometric things he did back in the BC. This is a partial explanation of the topic, and a partially explaining the code. Timecodes: 0:00 - Intro 0:11 - Archimedean Spirals 3:40 - The Exhaustion Method 5:38 - Ma

From playlist ManimCE Tutorials 2021

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Colliding spirals in the Rock-Paper-Scissors equation 2: norms of gradient and vorticity

I'm still fascinated by the motion of spirals in the Rock-Paper-Scissors reaction-diffusion equation with increasing viscosity (which is the constant multiplying the Laplace operator). Increasing the viscosity has the effect of increasing the typical width of spirals, inducing a kind of co

From playlist Reaction-diffusion equations

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Gamma-ray emitting NLSy1 galaxies by C. S. Stalin

Extragalactic Relativistic Jets: Cause and Effect PROGRAM LINK: www.icts.res.in/program/ERG2015 DATES: Monday 12 Oct, 2015 - Tuesday 20 Oct, 2015 VENUE: Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION : Active Galactic Nuclei (AGN) are the luminous centers of galaxies that are belie

From playlist Extragalactic Relativistic Jets: Cause and Effect

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I spent an entire summer to find these spirals #SoME1

This video was made for The Summer of Math Exposition. It's about the spirograph and the math of the spirals it creates. Code: https://github.com/sokolov-teach/spirograph Attributions for images: "Spirograph" by Alexei Kouprianov is licensed under CC BY 2.5 "Rose-rhodonea-curve" by Anon

From playlist Summer of Math Exposition Youtube Videos

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Newly Found Super Spiral Galaxies Spin Too Fast to Exist

You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome! My name is Anton and in this video, we will talk about super spiral galaxies and their unusual properties recently discovered in this paper: https://iopscience.iop.org/article/10.3847/2041-8213/ab459e Sup

From playlist Galaxies, Quasars, Blazars

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Colliding vortices in the Rock-Paper-Scissors reaction-diffusion equation

This simulation shows another solution of the Rock-Paper-Scissors reaction-diffusion equation, similar to the one shown in videos such as https://youtu.be/TORwMc2AaRE , but with two different color schemes which make the spirals more visible. In addition, the "viscosity" parameter, which i

From playlist Reaction-diffusion equations

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Similarity And Congruence: Simple Similar Triangle in Triangle (Grade 5) - GCSE Maths Revision

Topic: Similarity And Congruence: Simple Similar Triangle in Triangle Do this paper online for free: https://www.onmaths.com/similarity-and-congruence/ Grade: 5 This question appears on calculator higher and foundation GCSE papers. Practise and revise with OnMaths. Go to onmaths.com for m

From playlist Similarity And Congruence

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Why do prime numbers make these spirals? | Dirichletโ€™s theorem, pi approximations, and more

A curious pattern, approximations for pi, and prime distributions. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/spiral-thanks Based on this Math

From playlist Neat proofs/perspectives

Related pages

Rotation | Complex plane | Cyclic quadrilateral | Translation (geometry) | Euclidean geometry | Complex number | Scalene triangle | Cartesian coordinate system | Miquel's theorem | Harold Scott MacDonald Coxeter | Reflection symmetry | Similarity (geometry)