In geometry, two conic sections are called confocal, if they have the same foci. Because ellipses and hyperbolas possess two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture of confocal ellipses and hyperbolas, any ellipse intersects any hyperbola orthogonally (at right angles). Parabolas possess only one focus, so, by convention, confocal parabolas have the same focus and the same axis of symmetry. Consequently, any point not on the axis of symmetry lies on two confocal parabolas which intersect orthogonally (see ). The formal extension of the concept of confocal conics to surfaces leads to confocal quadrics. (Wikipedia).
Learn how to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given by Ax^2 + By^2 + Cx + Dy + E = 0. When given the ge
From playlist The Hyperbola in Conic Sections
Learn how to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given by Ax^2 + By^2 + Cx + Dy + E = 0. When given the ge
From playlist The Hyperbola in Conic Sections
Steps to classify conic sections
Learn how to classify conic sections. A conic section is a figure formed by the intersection of a plane and a cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola. The general equation of a conic section is given by Ax^2 + By^2 + Cx + Dy + E = 0. When given the ge
From playlist The Hyperbola in Conic Sections
Determining What Type of Conic Section from General Form
This video explains how to determine if a given equation in general form is a circle, ellipse, parabola, or hyperbola. http://mathispower4u.wordpress.com/
From playlist Introduction to Conic Sections
Conics What are the important parts of a horizontal ellipse
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and writing the equation based on if it has a horizontal or
From playlist The Ellipse in Conic Sections
Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids
Abstract: Two classical but perhaps little known facts of "elementary" geometry are that an ellipsoid may be sliced into two one-parameter families of circles and that ellipsoids may be deformed into each other in such a manner that these circles are preserved. In fact, as an illustration
From playlist Integrable Systems 9th Workshop
Schrödinger's equation in an ellipse (rotating 3D view)
This is a longer version of Part 7 in the video https://youtu.be/p1F0ph6xx2Y which showed a solution of Schrödinger's equation in an elliptical domain. The camera rotates around the ellipse in the course of the simulation. One can see the important role played by the focal points of the e
From playlist Schrödinger's equation
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
Peter Sarnak - Nodal domains of eigenmodes of the Laplacian and of random functions [2013]
Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Peter Sarnak Saturday, August 31 10:50AM Nodal domains of eigenmodes of the Laplacian and of random functions Abstract: It is believed that the eigenfunctions of the quantiz
From playlist Number Theory
Introduction to Conic Sections
This video shows how you can generate a circle, ellipse, parabola, and hyperbola by intersecting a cone with a plan. It is the first of several videos on the conic sections. http://mathispower4u.wordpress.com/
From playlist Introduction to Conic Sections
How to determine if an equation is a parabloa, circle, ellipse or hyperbola, conics
http://www.freemathvideos.com In this video series I will show you how to write the equation and graph hyperbolas. Hyperbolas on a graph represent two parabolas facing away from each other but the definition of a hyperbola is the difference between the distance of a set of points and the
From playlist How to Classify Conic Sections #Conics
Conic Sections: The Hyperbola part 1 of 2
This video defines a hyperbola and explains how to graph a hyperbola given in standard form. http://mathispower4u.wordpress.com/
From playlist Introduction to Conic Sections
Masking it up: Electro charged face piece respirator fabrics using common materials....by Mahesh M
Abstract: I did not know of N95 filtering facepiece respirators until late February 2020, when I read media reports for the first time that they present the only mask design for protection against the SARS-Cov-2 virion. Academic curiosity initially led me to study their functionality, and
From playlist ICTS Colloquia
What are Conic Sections? | Don't Memorise
Some types of curves that we usually encounter in our day to day lives have a common connection. They are obtained by interesecting the surface of a cone with a plane and so are called Conic sections or Conics. Watch this video to know more.... To watch more High School Math videos, clic
From playlist High School Math
Imaging Space Rocks - AMNH SciCafe
What are the technologies at work that help scientists glean information from asteroids and meteors? In this SciCafe, Museum Curator Denton Ebel is joined by Amanda White, a confocal microscopy specialist, and Ellen Crapster-Pregont, a PhD candidate conducting her research at the Museum, i
From playlist SciCafe
Experiments with active particles dispersed in a crowded... by Ranjini Bandyopadhyay
PROGRAM : FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS: THEORY AND APPLICATIONS ORGANIZERS : Urna Basu and Anupam Kundu DATE : 09 March 2020 to 19 March 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore THIS PROGRAM HAS BEEN MODIFIED ONLY FOR LOCAL (BANGALORE) PARTICIPANTS DUE TO COVID-19 RI
From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications
Lecture 9: Computational imaging: a survey of medical and scientific applications
MIT MAS.531 Computational Camera and Photography, Fall 2009 Instructor: Douglas Lanman (guest lecturer from Brown University) View the complete course: https://ocw.mit.edu/courses/mas-531-computational-camera-and-photography-fall-2009/ YouTube Playlist: https://www.youtube.com/playlist?li
From playlist MIT MAS.531 Computational Camera and Photography, Fall 2009
Mod-04 Lec-40 Concluding Lecture
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
What are the basic characteristics of an ellipse for conic sections
Learn all about ellipses for conic sections. We will discuss all the essential definitions such as center, foci, vertices, co-vertices, major axis and minor axis. We will also discuss the essential processes such as how to graph and writing the equation based on if it has a horizontal or
From playlist The Ellipse in Conic Sections
2012 Visualization Challenge: Observing the Coral Symbiome Using Laser Scanning Confocal Microscopy
Christine E. Farrar and colleagues' honorable mention video from the 2012 International Science and Engineering Visualization Challenge, hosted by Science Magazine and the U.S. National Science Foundation, uses confocal microscopy to demonstrate the dynamic lives of corals. [Credit: Chris
From playlist Science & Engineering Visualization Challenge 2012