Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra. Central to the book is the disputed priority for Euler's polyhedral formula between Leonhard Euler, who published an explicit version of the formula, and Descartes, whose De solidorum elementis includes a result from which the formula is easily derived. Descartes on Polyhedra was written by Pasquale Joseph Federico (1902–1982), and published posthumously by Springer-Verlag in 1982, with the assistance of Federico's widow Bianca M. Federico, as volume 4 of their book series Sources in the History of Mathematics and Physical Sciences. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries. (Wikipedia).
Introduction to Polygons - Geometry
Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. Geometer: Louise McCartney Artwork: Kelly Vivanco Written by Michael Ha
From playlist Geometry lessons
DesmosLIVE: An Exploration of Desmos + Mathalicious
Kate Nowak of Mathalicious explores a few Mathalicious lessons with Desmos
From playlist Desmos LIVE
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
S.A.Robertson, How to see objects in four dimensions, LMS 1993
Based on the 1993 London Mathematical Society Popular Lectures, this special 'television lecture' is entitled "How to see objects in four dimensions" by Professor S.A.Robertson. The London Mathematical Society is one of the oldest mathematical societies, founded in 1865. Despite it's name
From playlist Mathematics
Lecture 17: Alexandrov's Theorem
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture addresses the mathematical approaches for solving the decision problem for folding polyhedra. A proof of Alexandrov's
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
What is the folium of Descartes? - Week 5 - Lecture 4 - Mooculus
Subscribe at http://www.youtube.com/kisonecat
From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
In this video I show you how to use the tables function in Desmos.
From playlist Biomathematics
The Role of Mathematics in Philosophy | 2012
Prof. Douglas Kindschi of Grand Valley State University speaks on "The Role of Mathematics in Philosophy: Plato to Russell". This talk was part of the GVSU Math Department seminar series and was given in February 2012. https://archive.org/details/The_Role_Of_Mathematics_In_Philosophy_
From playlist Mathematics
Isosceles Triangle Theorem: Dynanic Desmos Illustrator
Isosceles triangle theorem animation & explorer made in #Desmos. https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb #MTBoS #ITeachMath #math
From playlist Desmos Activities, Illustrations, and How-To's
AlgTop10: More on graphs and Euler's formula
We discuss applications of Euler's formula to various planar situations, in particular to planar graphs, including complete and complete bipartite graphs, the Five neighbours theorem, the Six colouring theorem, and to Pick's formula, which lets us compute the area of an integral polygonal
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18
School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent
From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects
Descartes Rule of Signs - Upper and Lower Bounds
TabletClass Math http://www.tabletclass.com . This explains Descartes Rule of Signs. The lesson is designed to focus on on how Descartes Rule of Signs helps finds the zeros of a polynomial.
From playlist Pre-Calculus / Trigonometry
algebraic geometry 16 Desargues's theorem
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers Desargues's theorem and duality of projective space.
From playlist Algebraic geometry I: Varieties
Gauss's view of curvature and the Theorema Egregium | Differential Geometry 35 | NJ Wildberger
In this video we discuss Gauss's view of curvature in terms of the derivative of the Gauss-Rodrigues map (the image of a unit normal N) into the unit sphere, and expressed in terms of the coefficients of the first and second fundamental forms. We have a look at these equations for the spec
From playlist Differential Geometry
The language of Geometry | Math Terminology | NJ Wildberger
This series will give a quick review of mathematical terminology for first year university students who will be taking mathematics. This video deals with terminology involved in elementary geometry. We discuss elementary Euclidean geometry, with points, lines and circles, basic shapes, tri
From playlist MathTerminology for incoming Uni students
Applying descartes rule of signs to determine the number or real positive & negative zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
In this video, we show how to find the nth root on desmos
From playlist desmos
The History of Mathematics in 300 Stamps
Oxford Mathematics Public Lectures: Robin Wilson - The History of Mathematics in 300 Stamps The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. From Euclid to Euler, from Pythagoras to
From playlist Oxford Mathematics Public Lectures
How to use Descartes rule of signs to determine the number of positive and negative zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number
From playlist How to Use Descartes Rules of Signs
Thin Groups and Applications - Alex Kontorovich
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond