Circles | Inversive geometry

Circle of antisimilitude

In inversive geometry, the circle of antisimilitude (also known as mid-circle) of two circles, α and β, is a reference circle for which α and β are inverses of each other. If α and β are non-intersecting or tangent, a single circle of antisimilitude exists; if α and β intersect at two points, there are two circles of antisimilitude. When α and β are congruent, the circle of antisimilitude degenerates to a line of symmetry through which α and β are reflections of each other. (Wikipedia).

Circle of antisimilitude
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What is the unit circle

👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Quickly fill in the unit circle by understanding reference angles and quadrants

👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0

From playlist Trigonometric Functions and The Unit Circle

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Learn how to construct the unit circle

👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Determining where a point is on the unit circle

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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How to memorize the unit circle

👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Determine the point on the unit circle for an angle

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Epic Circles - Numberphile

The man who loved circles (Objectivity): https://youtu.be/AzmUCL1OHhs More links & stuff in full description below ↓↓↓ Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Websit

From playlist Numberphile Videos

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Steiner's Porism: proving a cool animation #SoME1

Strange circle stuff. (Some people have commented that the audio is really low. Unfortunately I haven't found a way to fix it without re-uploading the whole video, but your feedback will be taken on board for the next video! Also to everyone begging for more content, I’m currently in the m

From playlist Summer of Math Exposition Youtube Videos

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Coding Challenge #50.1: Animated Circle Packing - Part 1

In this multi-part coding challenge, I demonstrate how to use a circle packing algorithm. Code: https://thecodingtrain.com/challenges/50-animated-circle-packing p5.js Web Editor Sketches: 🕹️ Animated Circle Packing - Text: https://editor.p5js.org/codingtrain/sketches/wxGRAd4I- 🕹️ Animated

From playlist Coding Challenges

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9.8: Random Circles with No Overlap - p5.js Tutorial

This video demonstrates a "circle packing"-like algorithm. Circles are placed randomly in the canvas, but only if they are not overlapping with any previous circles. This is referred to as "uniform random sampling." The p5.js dist() function is demonstrated. Source-code: https://github.

From playlist 9: Additional Topics - p5.js Tutorial

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Circles (Complete Geometry Course Lesson 10)

This is the tenth lesson in the Mario's Math Tutoring's Complete Geometry Course here on YouTube! In this video we take a deep dive into circles discussing formulas related to central angles, inscribed angles, arc measures, chord lengths, secant lengths, tangent lengths, and more! Join th

From playlist Geometry Course (Complete Course - Mario's Math Tutoring)

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How to Draw Tangent Circles using Cones

Solving the Problem of Apollonius with Conic Sections This video describes a non-standard way of finding tangent circles to a given set of 3 circles, known as the Problem of Apollonius. It uses conic sections rather than straightedge and compass. I feel this approach is more intuitive and

From playlist Summer of Math Exposition Youtube Videos

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What is a power of a point? or a radical axis? and how are they useful?

Here we explain what is a power of a point, a radical axis and a radical center and we show a problem where we use all three to get to the solution and yes, this is my SoME2 submission. Please subscribe: https://www.youtube.com/channel/UCs9k80C32DtCNMBC5aMoHkQ

From playlist Summer of Math Exposition 2 videos

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Circle Theorems

This geometry video tutorial provides a basic introduction into circle theorems. It contains plenty of examples and practice problems. Here is a list of topics: 1. If a radius is perpendicular to a chord, it bisects the chord into two congruent segments. The point of contact is the mid

From playlist Geometry Video Playlist

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Coding Math: Episode 53 - Random Circle Packing

A quick, fun video on a technique known as circle packing. Or at least one take on the technique. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath Source for this episode: http://jsbin.com/fegeti/edit?js,output Mario: https://www.flickr.

From playlist Episodes

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The Circle (1 of 2: Starting with a verbal definition)

More resources available at www.misterwootube.com

From playlist Functions & Other Graphs

Related pages

Isodynamic point | Congruence (geometry) | Degeneracy (mathematics) | Reflection (mathematics) | Radical axis | Circle | Inversive geometry | Limiting point (geometry)