Conics and quadrics

Marcel Berger ()
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Marcel Berger: IHÉS, Bures-sur-Yvette, Institut des Hautes Études Scientifiques

Chapter Chapter IV in Geometry Revealed, 2010, pp 181-247 from Springer

Abstract: Abstract Even though there isn’t to our knowledge any important open problem concerning the conics subj Conic – for quadrics subj Quadric it’s a different story – we are going to stay with them for a long time, but talk about the quadrics only very briefly. We hope, however, that the chapter will please many readers. More knowledgeable – but not necessarily omniscient – readers may skip all the beginning material and just look at Sects. IV.8 and IV.9. Here are our motivations: we have already stated how much the teaching of geometry subj Teaching geometry , however useful it is nowadays, has almost completely disappeared from instruction, whether in middle or upper schools, or in the university. If a few circles remain, the other conic sections are gone, even though they are an integral part of many things in our everyday lives. Here are a few examples, to which readers may append their own.

Keywords: Quadratic Form; Elliptic Curve; Projective Line; Conic Tangent; Cross Ratio (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-540-70997-8_4

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