Theorems about triangles and circles | Euclidean plane geometry
In geometry, the Japanese theorem states that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the sum of inradii is independent of the triangulation, then the polygon is cyclic. The Japanese theorem follows from Carnot's theorem; it is a Sangaku problem. (Wikipedia).
Robbins' formulas, the Bellows conjecture + polyhedra volumes|Rational Geometry Math Foundations 128
We discuss modern developments in the direction of our latest videos, namely formulas for areas of polygons in terms of the quadrances of the sides. We discuss work of Moebius, Bowman and Robbins on the areas of cyclic pentagons. There is also a rich story about 3 dimensional generalizati
From playlist Math Foundations
Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
We introduce cyclic groups, generators of cyclic groups, and cyclic subgroups. We discuss an isomorphism from finite cyclic groups to the integers mod n, as well as an isomorphism from infinite cyclic groups to the integers. We establish a cyclic group of order n is isomorphic to Zn, and a
From playlist Abstract Algebra
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
A theorem about isosceles -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Circle Theorem Proof - Cyclic Quadrilaterals
A proof of the cyclic quadrilateral Theorem, one of the circle theorems proofs!
From playlist Circle Theorem Proofs
The Cyclic quadrilateral quadrea theorem (cont.) | Rational Geometry Math Foundations 127b
The Cyclic quadrilateral quadrea (CQQ) theorem is a major re-evaluation of the classical theorem of Brahmagupta on the area of a convex cyclic quadrilateral, which combines it with Robbins much more recent formula for the corresponding area of a non-convex cyclic quadrilateral. We exhibit
From playlist Math Foundations
The circumquadrance of a cyclic quadrilateral|Rational Geometry Math Foundations 149 | NJ Wildberger
Around 1400, the mathematician Parameshvara from the southern Indian state of Kerala discovered a remarkable formula in the spirit of Brahmagupta, but which gives the circumradius of a cyclic quadrilateral in terms of the four lengths of sides, at least if the quadrilateral is convex. In t
From playlist Math Foundations
Abstract Algebra | Cyclic Subgroups
We define the notion of a cyclic subgroup and give a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Thomas Nikolaus : Equivariant homotopy theory for infinite groups and THH with coefficients
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 24, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Limits and rational poly on-sequences | Real numbers + limits Math Foundations 102 | N J Wildberger
We introduce more general ``infinite sequences'', or on-sequences, generated by rational polynumbers, otherwise often known as rational functions: ratios of one polynomial over another. The association of a sequence to such an expression is surprisingly delicate, and requires us to look at
From playlist Math Foundations
Live CEOing Ep 97: Geometry in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Geometry in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Uniform Tilings of The Hyperbolic Plane (Lecture 4) by Subhojoy Gupta
ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi
From playlist Geometry and Topology for Lecturers
Inscribing Rectangles in Jordan Loops - Rich Schwartz
Symplectic Dynamics/Geometry Seminar Topic: Inscribing Rectangles in Jordan Loops Speaker: Rich Schwartz Affiliation: Brown University Date: October 14, 2019 For more video please visit http://video.ias.edu
From playlist Symplectic Dynamics/Geometry Seminar
Trigonometry XII: Heron's Formula for the Area of Triangle
Follow me on instagram @whatthehectogon https://www.instagram.com/whatthehectogon/ If you have any questions, leave a comment below or feel free to email me at the misspelled whatthehectagon@gmail.com In this video, I prove the lovely formula for the area of a triangle from the indomitab
From playlist Trigonometry
Automated Geometry Theorem Generation
We present a method for automatically generating new geometry theorems, suitable for solution using ""angle chasing"". Specifically, we consider geometry theorems whose premises and conclusion comprise a set of bisector conditions. Each premise and the conclusion can be represented as the
From playlist Wolfram Technology Conference 2022
Geometrical Snapshots from Ancient Times to Modern Times - Tom M. Apostol - 11/5/2013
The 23rd Annual Charles R. DePrima Memorial Undergraduate Mathematics Lecture by Professor Tom M. Apostol was presented on November 5, 2013, in Baxter Lecture Hall at Caltech in Pasadena, CA, USA. For more info, visit http://math.caltech.edu/events/14deprima.html Produced in association w
From playlist Research & Science
Johan Alm: Brown's dihedral moduli space and freedom of the gravity operad
Abstract: Ezra Getzler's gravity cooperad is formed by the degree-shifted cohomology groups of the open moduli spaces M_{0,n}. Francis Brown introduced partial compactifications of these moduli spaces, denoted M_{0,n}^δ. We prove that the (nonsymmetric) gravity cooperad is cofreely cogener
From playlist HIM Lectures: Junior Trimester Program "Topology"
This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec
From playlist Algebraic geometry: extra topics
Algebraic geometry 48: Newton's rotating ruler
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes how to use Newton's rotating ruler to expand algebraic functions as power series. One application is that the field of complex Puiseux series is algebraicall
From playlist Algebraic geometry I: Varieties