Conic sections | Curves defined for a triangle
In geometry, the Steiner ellipse of a triangle, also called the Steiner circumellipse to distinguish it from the Steiner inellipse, is the unique circumellipse (ellipse that touches the triangle at its vertices) whose center is the triangle's centroid. Named after Jakob Steiner, it is an example of a circumconic. By comparison the circumcircle of a triangle is another circumconic that touches the triangle at its vertices, but is not centered at the triangle's centroid unless the triangle is equilateral. The area of the Steiner ellipse equals the area of the triangle times and hence is 4 times the area of the Steiner inellipse. The Steiner ellipse has the least area of any ellipse circumscribed about the triangle. The Steiner ellipse is the scaled Steiner inellipse (factor 2, center is the centroid). Hence both ellipses are similar (have the same eccentricity). (Wikipedia).
http://demonstrations.wolfram.com/Ellipsoid/ The Wolfram Demonstration Project contains thousands of free interactive visualizations with new entries added daily. An ellipsoid is a quadratic surface given by a^2/x^2+b^2/y^2+c^2/z^2=1 Contributed by Jeff Bryant
From playlist Wolfram Demonstrations Project
Alternative Locus Definition of an Ellipse (1 of 2: Algebraically finding Locus of an Ellipse)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
Two ellispe roller is a extension of two circle roller. When it rolls on a plane,the center of gravity stays at a constant distance from the plane. This is a convex hull of two ellipses.The ellipse's constats are a=15,b=21,the distance between two ceteres of ellipse c=3*root(2). Buy at htt
From playlist 3D printed toys
Deriving the Ellipse Equation #short
This is a short, only meant to show the full scope of the derivation. Complete video explanation in the link below: https://youtu.be/5TQMJ09MLWM
From playlist #shorts mathematicsonline
Umberto Zannier - The games of Steiner and Poncelet and algebraic group schemes
November 13, 2017 - This is the first of three Fall 2017 Minerva Lectures We shall briefly present in very elementary terms the 'games' of Steiner and Poncelet, amusing mathematical solitaires of the XIX Century, also related to elliptic billiards. We shall recall that the finiteness of t
From playlist Minerva Lectures Umberto Zannier
Zeros of polynomial vs derivative
We will see how the zeros of the derivative of a polynomial are related to the zeros of the original polynomial. This is called the Gauss Lucas Theorem for zeros of derivatives, which is an elegant result from complex analysis that relates it with the convex hull of the original roots. I a
From playlist Complex Analysis
Topics in Curve and Surface Implicitization, David Cox (Amherst College) [2007]
Slides for this talk: https://drive.google.com/file/d/1quB7Lg_dXTPow_qLLDeW2Zv6m9G4X4AN/view?usp=sharing (credits to zubrzetsky) Topics in Curve and Surface Implicitization Saturday, June 2, 2007 - 10:30am - 11:20am EE/CS 3-180 David Cox (Amherst College) This lecture will discuss sever
From playlist Mathematics
The Journey to 3264 - Numberphile
Professor David Eisenbud talks about conics, and visits a few numbers along the way. More links & stuff in full description below ↓↓↓ David Eisenbud Numberphile Playlist: http://bit.ly/Eisenbud_Videos David Eisenbud: https://math.berkeley.edu/people/faculty/david-eisenbud 3264 and All
From playlist David Eisenbud on Numberphile
Identify the center, vertices, co vertices and foci of an ellipse
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center
From playlist How to Graph Vertical Ellipse (Not At Origin) #Conics
How to graph an ellipse with the center at the origin
Learn how to graph horizontal ellipse centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. Th
From playlist How to Graph Horizontal Ellipse (At Origin) #Conics
Learn how to graph an ellipse when the center is at the origin
Learn how to graph horizontal ellipse centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. Th
From playlist How to Graph Horizontal Ellipse (At Origin) #Conics
New isoperimetric inequalities for convex bodies - Amir Yehudayoff
Computer Science/Discrete Mathematics Seminar I Topic: New isoperimetric inequalities for convex bodies Speaker: Amir Yehudayoff Affiliation: Technion - Israel Institute of Technology Date: November 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
500 particles in an elliptical billiard. The segments are velocity vectors, the two dots are the focal points of the ellipse. C code: https://www.idpoisson.fr/berglund/vid_particles_ellipse.c Music: Cold Blue by Astron@Sound Therapy - Best Sleep and Relaxation Music For more informati
From playlist Particles in billiards
Conics via projective geometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger
Conics, such as circles, ellipses, hyperbolas and parabolas, can be defined purely within projective geometry, as realized by the nineteenth century German mathematician Steiner. This is done by using projectivities. There are essentially two dual constructions, one giving a line conic, th
From playlist WildTrig: Intro to Rational Trigonometry
Jennifer Tour Chayes (Microsoft Research New England and Microsoft Research New York City) URL: https://www.icts.res.in/lecture/4/details/1644/ Description: Everywhere we turn these days, we find that networks can be used to describe relevant interactions.In the high tech world, we see th
From playlist Distinguished Lectures
Construct a minimum network using Torricelli's construction for a Steiner point in GeoGebra.
From playlist Discrete Math
Steiner's Porism: proving a cool animation #SoME1
Strange circle stuff. (Some people have commented that the audio is really low. Unfortunately I haven't found a way to fix it without re-uploading the whole video, but your feedback will be taken on board for the next video! Also to everyone begging for more content, I’m currently in the m
From playlist Summer of Math Exposition Youtube Videos
How to find the vertices, foci and center of an ellipse
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center
From playlist How to Graph Vertical Ellipse (Not At Origin) #Conics