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Talk by Simon Salamon, Professor in Geometry at Kings College, London. The study of perspective in art has led to a branch of mathematics called projective geometry, which addresses the relationship between...
Looks at the world of conics and their reflection properties. There are three conics: the ellipse, the parabloa and the hyperbola. Conics have very real properties that are useful to people as diverse as...
A (17 min): Looks at how the curves known as conics arise in different contexts and at the specific properties that lead to ways of describing them mathematically. / (41 min): Examines isometric...
Examines the theorem whereby with any conic and any tangent triangle to it, the construction joining each vertex of the triangle to the opposite point of tengency produces three lines that meet in a point....
Investigates the properties of conic sections, using 3-D animations. In six 10-minute sections: Slicing the Cone; The Circle; The Ellipse; The Parabola; The Hyperbola; Conic Reflections.
A moving beam of light is used to trace out images of a circle, an ellipse, a parabola and a hyperbola. Uses animation to show how these curves can be drawn using the focus/directrix definition, and also how...
Investigates the so-called reflection properties of conics. If a mirror is shaped like a conic and a light ray passes through one focus, it will be reflected to go through the other focus. This property is...
Developing conic sections and focusing on the several projective definitions, namely those that are devoid of metric notions. Such a projective definition implies the construction of a conic by means of...
Properties of four-line conics shown in animation.*
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