Affine Geometry

Synopsis

Introduces the idea of affine geometry and looks at different aspects of it use. In three sections: 1: Introduces two theorems about ellipses - the midpoint theorem and the conjugate diameters theorem. Shows how they are straightforward to prove when the ellipse is a circle and goes on to show how they can be proved in the general case by transforming an ellipse into a circle. 2: Investigates a transformation known as parallel projection, which formalises the ideas of shadows cast by sunlight and shows how it has the properties needed to map circles into ellipses. 3: Shows how parallel projection is but one of a new class of transormations called affine transformations. Looks at the algebra of affine transformations and shows how any such can be realised as a series of parallel projections.

Series

Introduction to Pure Mathematics, Course M203

Language

English

Medium

Video; Videocassette. Standard formats. col. 24 min.

Year of production

1994

Availability

OUT OF DISTRIBUTION

Subjects

Mathematics

Keywords

geometry; pure mathematics

Credits

Producer

Andrew Adamyk

Production Company

Name

BBC Open University Productions

Distributor

Name

Open University Worldwide

Web

http://www.ouw.co.uk External site opens in new window

Phone

+44 (0) 1908 274066

Address

Walton Hall
Milton Keynes
MK7 6AA

Notes

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