In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the chain. The chain closes, in the sense that the sixth circle is always tangent to the first circle. It is assumed in this construction that all circles lie within the triangle, and all points of tangency lie on the sides of the triangle. If the problem is generalized to allow circles that may not be within the triangle, and points of tangency on the lines extending the sides of the triangle, then the sequence of circles eventually reaches a periodic sequence of six circles, but may take arbitrarily many steps to reach this periodicity. The name may also refer to Miquel's six circles theorem, the result that if five circles have four triple points of intersection then the remaining four points of intersection lie on a sixth circle. (Wikipedia).
Circles and Solids: Radius, Diameter, and Naming Solids
This video explains how to determine the radius and diameter of a circle. Various solids are also named.
From playlist Circles
Learn how to construct the unit circle
๐ 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)
How to memorize the unit circle
๐ 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)
How to quickly write out the unit circle
๐ 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)
What is the equation for a circle
Learn how to write the equation of a circle. A circle is a closed shape such that all points are equidistance (equal distance) from a fixed point. The fixed point is called the center of the circle while the distance between any point of the circle and the center of the circle is called th
From playlist Circles
๐ 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)
Area and Perimeter of Geometric Figures
Worked out examples involving area and perimeter.
From playlist Geometry
Watch me complete the unit circle
๐ 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)
Quickly fill in the unit circle by understanding reference angles and quadrants
๐ 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
This geometry video tutorial provides a basic introduction into circles. It contains plenty of examples and multiple choice practice problems for you to work on. Here is a list of topics: 1. Inscribed angles in circles and intercepted arcs 2. Radius and chord theorem 3. Diameter and c
From playlist Geometry Video Playlist
Chords Arcs and Diameters in Circle
I introduce the concept of Chords in a circle and then give you 7 theorems that explain the relationships of chords, arcs, diameters, and central angles is circles. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my effor
From playlist Geometry
AlgTop12: Duality for polygons and the Fundamental Theorem of Algebra
We define the dual of a polygon in the plane with respect to a fixed origin and unit circle. This duality is related to the notion of the dual of a cone. Then we give a purely rational formulation of the Fundamental Theorem of Algebra, and a proof which keeps track of the winding numbe
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Combinatorics and Geometry to Arithmetic of Circle Packings - Nakamura
Speaker: Kei Nakamura (Rutgers) Title: Combinatorics and Geometry to Arithmetic of Circle Packings Abstract: The Koebe-Andreev-Thurston/Schramm theorem assigns a conformally rigid fi-nite circle packing to a convex polyhedron, and then successive inversions yield a conformally rigid infin
From playlist Mathematics
A Tricky Problem on Sums of Two Squares - Enrico Bombieri
Enrico Bombieri Institute for Advanced Study December 10, 2012 A `toy model' for studying the probabilistic distribution of nodal curves of eigenfunctions of linear operators arises from the Laplacian on the standard real 2-torus. Here the eigenvalues are associate to integers m that are s
From playlist Mathematics
Geometry Final Exam Review - Study Guide
This geometry final exam review contains plenty of multiple choice practice problems as well as some free response questions to help you pass your next test. Here is a list of topics: 1. Right Angles and Angle Addition 2. Segment Addition and Midpoint Theorem 3. Complementary Angles an
From playlist GED Math Playlist
The Pythagorean Theorem: Extensions and Applications
The Pythagorean Theorem is useful throughout mathematics. This gives just a few examples.
From playlist Lessons of Interest on Assorted Topics
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
Apollonian packings and the quintessential thin group - Elena Fuchs
Speaker: Elena Fuchs (UIUC) Title: Apollonian packings and the quintessential thin group Abstract: In this talk we introduce the Apollonian group, sometimes coined the โquintessentialโ thin group, which is the underlying symmetry group of Apollonian circle packings. We review some of the e
From playlist My Collaborators
Geometry: Ch 3 - Names & Symbols (8 of 8) The Circle
Visit http://ilectureonline.com for more math and science lectures! In this video I will define the names and symbols used in relating a circle. First video in this series can be seen at: https://youtu.be/2fq3RapXeSA
From playlist GEOMETRY 3 - NAMES & SYMBOLS