Anne's theorem, named after the French mathematician (1806–1850), is a statement from Euclidean geometry, which describes an equality of certain areas within a convex quadrilateral. Specifically, it states: Let ABCD be a convex quadrilateral with diagonals AC and BD, that is not a parallelogram. Furthermore let E and F be the midpoints of the diagonals and L be an arbitrary point in the interior of ABCD. L forms four triangles with the edges of ABCD. If the two sums of areas of opposite triangles are equal ( Area(BCL) + Area(DAL) = Area(LAB) + Area(DLC) ), then the point L is located on the Newton line, that is the line which connects E and F. For a parallelogram the Newton line does not exist since both midpoints of the diagonals coincide with point of intersection of the diagonals. Moreover the area identity of the theorem holds in this case for any inner point of the quadrilateral. The converse of Anne's theorem is true as well, that is for any point on the Newton line which is an inner point of the quadrilateral, the area identity holds. (Wikipedia).
Calculus - The Fundamental Theorem, Part 1
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From playlist Calculus - The Fundamental Theorem of Calculus
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From playlist Mathematics
Calculus - The Fundamental Theorem, Part 2
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From playlist Calculus - The Fundamental Theorem of Calculus
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From playlist Real World College Math: College Foundations
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This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the hypotenuses of scaled triangles. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshorts #mathvide
From playlist Pythagorean Theorem
A Beautiful Proof of Ptolemy's Theorem.
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From playlist Mathy Videos
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From playlist Abel Lectures
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Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
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From playlist Probability and Statistics
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From playlist Seminar on Geometric and Modular Representation Theory
Calculus - The Fundamental Theorem, Part 5
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From playlist Calculus - The Fundamental Theorem of Calculus
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From playlist Proof Writing
Plenary lecture 1 by Martin Bridson - Part 2
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Christian Berg: From Herglotz-Nevanlinna functions to completely monotonic functions
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From playlist Analysis and its Applications
Hugo Gimbert: Two-player perfect-information shift-invariant submixing stochastic games are [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
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From playlist Mathematics
This is a short, animated visual proof of Viviani's theorem, which states that the sum of the distances from any interior point to the sides of an equilateral triangle is equal to the length of the triangle's altitude. #math #geometry #mtbos #manim #animation #theorem #pww #proofwith
From playlist MathShorts
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From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
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