In triangle geometry, the Apollonius point is a special point associated with a plane triangle. The point is a triangle center and it is designated as X(181) in Clark Kimberling's Encyclopedia of Triangle Centers (ETC).The Apollonius center is also related to the Apollonius problem. In the literature, the term "Apollonius points" has also been used to refer to the isodynamic points of a triangle. This usage could also be justified on the ground that the isodynamic points are related to the three Apollonian circles associated with a triangle. The solution of the Apollonius problem has been known for centuries. But the Apollonius point was first noted in 1987. (Wikipedia).
Apollo 12 on the Ocean of Storms
Ultra high-resolution photos of this historic second manned mission to the moon, including breathtaking photos of the lunar surface. Credit NASA.
From playlist Earth And Its Moon
ARTEMIS Orbiting Lagrange Point
This visualization shows one segment of ARTEMIS orbital paths. The satellite trails are are constructed in a lunar-centric inertial coordinate system so the trails reveal the motion of the satellites relative to the Lagrange points in INERTIAL space (fixed with the distant stars).
From playlist Lagrange Points Playlist
Saturn's Unique Hexagon in Full View
New views from NASA's Cassini spacecraft of the unique six-sided jet stream around Saturn's north pole known as "the hexagon."
From playlist Cassini at Saturn
Introduction to Cylindrical Coordinates
This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
http://www.teachastronomy.com/ Pluto is the outer sentinel of the solar system. With a size of only 2,300 kilometers, it is half the size of Mercury and two-thirds the size of Earth's moon. Its mean distance from the sun is 39 astronomical units, but it has a highly eccentric orbit with
From playlist 10. The Solar System
How to Draw Tangent Circles using Cones
Solving the Problem of Apollonius with Conic Sections This video describes a non-standard way of finding tangent circles to a given set of 3 circles, known as the Problem of Apollonius. It uses conic sections rather than straightedge and compass. I feel this approach is more intuitive and
From playlist Summer of Math Exposition Youtube Videos
The Three/Four bridge and Apollonius duality for conics | Six: A course in pure maths 5 | Wild Egg
The Three / Four bridge plays an important role in understanding the remarkable duality discover by Apollonius between points and lines in the plane once a conic is specified. This is a purely projective construction that works for ellipses, and their special case of a circle, for parabola
From playlist Six: An elementary course in Pure Mathematics
What the Apollo Missions Meant | APOLLO - Missions to the Moon
The United States' Apollo missions to the moon meant a new era in space exploration. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Apollo: Missions to the Moon: https://on.natgeo.com/2kIOdug #NationalGeographic #Apollo #MissionsToTheMoon About National Geographic: National Geogra
From playlist News | National Geographic
Problem of Apollonius - what does it teach us about problem solving?
This video uses the problem of Apollonius as a way to introduce circle inversion and an important problem-solving technique - transforming a hard problem into a simpler one; then solve for the simpler, transformed version of the problem before doing the inverse transformation so that we ob
From playlist Geometry Gem
APOLLONIUS THEOREM Using Animation Tools | MEDIAN SERIES | CREATA CLASSES
Understand Apollonius Theorem and the Relation between Medians & Sides of a Triangle Using ANIMATION & visual tools. It also include the proof of apollonius theorem. This is 5th video under the Median Series. Introduction to Median: https://youtu.be/eHewPlLq7ps Visit our website: https
From playlist MEDIANS
Introduction to Spherical Coordinates
This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Alex Bellos - LOOP: Pool on an Ellipse - G4G12 April 2016
My elliptical pool table and how I made it.
From playlist G4G12 Videos
Tangents to Parametric Curves (New) | Algebraic Calculus One | Wild Egg
Tangents are an essential part of the differential calculus. Here we introduce these important lines which approximate curves at points in an algebraic fashion -- finessing the need for infinite processes to support takings of limits. We begin by a discussion of tangents historically, espe
From playlist Algebraic Calculus One
Tangents to Parametric Curves | Algebraic Calculus One | Wild Egg
Tangents are an essential part of the differential calculus. Here we introduce these important lines which approximate curves at points in an algebraic fashion -- finessing the need for infinite processes to support takings of limits. We begin by a discussion of tangents historically, espe
From playlist Algebraic Calculus One from Wild Egg
Curves from Antiquity | Algebraic Calculus One | Wild Egg
We begin a discussion of curves, which are central objects in calculus. There are different kinds of curves, coming from geometric constructions as well as physical or mechanical motions. In this video we look at classical curves that go back to antiquity, such as prominently the conic sec
From playlist Algebraic Calculus One from Wild Egg
A Tour Of The Lagrange Points. Part 1 - Past And Future Missions To L1
Thanks to gravity, there are places across the Solar System which are nicely balanced. They’re called Lagrange Points and they give us the perfect vantage points for a range of spacecraft missions, from observing the Sun to studying asteroids, and more. Various spacecraft have already vis
From playlist Guide to Space
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
Apollonius' circle construction problems | Famous Math Problems 3 | NJ Wildberger
Around 200 B.C., Apollonius of Perga, the greatest geometer of all time, gave a series of related problems; how to construct a circle in the plane touching three objects, where the objects are either a point (P), a line (L) and or a circle (C). Many mathematicians have studied this most fa
From playlist Famous Math Problems
Alex Kontorovich - Numbers and Fractals [2017]
It is a very good time to be a mathematician. This millennium, while only a teenager, has already seen spectacular breakthroughs on problems like the Poincar´e Conjecture (solved by Grisha Perelman, who declined both a Fields Medal and a million dollar Clay Prize) and the near-resolution o
From playlist Mathematics
Teach Astronomy - Celestial Sphere
http://www.teachastronomy.com/ The celestial sphere is an imaginary sphere surrounding the Earth onto which are projected the objects of the night sky. There are several fixed points on the celestial sphere that are important. The Zenith is the point directly over your head. The Nadir i
From playlist 02. Ancient Astronomy and Celestial Phenomena