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Poncelet’s Traité

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

The singular novelty of Poncelet’s geometry is that he was seldom interested in the metrical properties of figures. Everything is studied at the level of what properties a figure has in common with its shadows (its projections). This was not the first time such an idea had been presented, but this time the message caught on. Poncelet was quite explicit, and reasonably clear, that there was a class of geometric properties that deserved to be singled out, and these were the projective ones. For example, and this needs to be shown, the property of being pole and polar is a projective property.

Keywords

Descriptive Geometry Projective Property Projective Transformation Conic Section Creative Mathematician 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2007

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