Euclidean geometry | Geometric centers | Circles
In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation or contraction of one another. If the center is external, the two figures are directly similar to one another; their angles have the same rotational sense. If the center is internal, the two figures are scaled mirror images of one another; their angles have the opposite sense. (Wikipedia).
Oriented circles and relativistic geometry II | Wild Linear Algebra 35 | NJ Wildberger
We continue our discussion of oriented, or signed, or directed circles in the plane, which are also called cycles, and the intimate connection with relativistic geometry in three dimensions. This correspondence makes it easier for us to apply linear algebraic ideas to the geometry of circl
From playlist WildLinAlg: A geometric course in Linear Algebra
Introduction to Elliptic Curves 2 by Anupam Saikia
PROGRAM : ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (ONLINE) ORGANIZERS : Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) DA
From playlist Elliptic Curves and the Special Values of L-functions (ONLINE)
Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger
In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb
From playlist Universal Hyperbolic Geometry
Connections part 5: Riemannian Curvature Tensor and Faraday Tensor
This video was hacked together. Apologies.
From playlist Connections, Curvature and Covariant Derivatives
R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1 (vt)
I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, wh
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
R. Bamler - Uniqueness of Weak Solutions to the Ricci Flow and Topological Applications 1
I will present recent work with Kleiner in which we verify two topological conjectures using Ricci flow. First, we classify the homotopy type of every 3-dimensional spherical space form. This proves the Generalized Smale Conjecture and gives an alternative proof of the Smale Conjecture, wh
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Meusnier, Monge and Dupin II | Differential Geometry 32 | NJ Wildberger
Here we continue our study of the works of three important French differential geometers. Today we discuss G. Monge, who is sometimes called the father of the subject. He was the inventor of descriptive geometry (which he developed for military applications), and various theorems in Euclid
From playlist Differential Geometry
Trisectors and perspective, an entry to complexity in geometry BrunoAutin
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Bruno Autin Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and m
From playlist Wolfram Technology Conference 2018
Sao Paulo 4K - City Sunrise - Driving Downtown - Brazil
Remarkable city filled with wonderful and welcoming people! Sunday morning sunrise drive though the downtown center (Centro) of Sao Paulo, a megalopolis with more than 30 million inhabitants, known for its skyscrapers, the size of its helicopter fleet, its architecture, gastronomy, severe
From playlist Location by Continent - South America - J Utah
Rio 4K - City Center - Night Drive
Night drive around the center of Rio De Janeiro. This area known as Centro is fascinating. So much potential. Would you visit? Why or why not? Starting point: https://goo.gl/maps/fmHzsVDf7t9zR8XM8 . Centro ("Center") is a neighborhood in Zona Central of Rio de Janeiro, Brazil. It repr
From playlist Location by Continent - South America - J Utah
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ
From playlist The Hyperbola in Conic Sections
What is the definition of a hyperbola
Learn all about hyperbolas. A hyperbola is a conic section with two fixed points called the foci such that the difference between the distances of any point on the hyperbola from the two foci is equal to the distance between the two foci. Some of the characteristics of a hyperbola includ
From playlist The Hyperbola in Conic Sections
Using the properties of rectangles to solve for x
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Introduction to the terms locus, focus, directrix, line of symmetry, vertex, maximum and minimum
From playlist Geometry
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
MountainWest JavaScript 2014 - HTML5 Canvas Animation with Javascript
By Josh Robertson Have you ever wondered how to make awesome canvas animations? This is where you can come learn about: Briefly talk about the Drawing API Basic Trigonometry for animation Basic motion (Velocity & Acceleration) Learn about radians & degrees. Just basically explain them and
From playlist MountainWest JavaScript 2014
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
Triangle Perpendicular Bisectors & Circumcenter
I introduce the Perpendicular Bisector Theorem in triangles. We discuss how the point of concurrency is the center of the circumcenter. The circumcenter is the center of the circle that circumscribed the triangle. I finish by working through two examples of finding the circumcenter of a
From playlist Geometry
Eugene Gorsky: Hilbert schemes and knot homology (Part 4 of 4)
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Khovanov and Rozansky introduced a knot homology theory which categorifies the HOMFLY polynomial. This homology has a lot of interesting properties, but i
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Geometry - Basic Terminology (29 of 34) What Are Inscribed Angles?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and gives the formula of inscribed angles. Next video in the Basic Terminology series can be seen at: http://youtu.be/zn5eRO_T15Q
From playlist GEOMETRY 1 - BASIC TERMINOLOGY