Second order curve/Definition: Difference between revisions
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imported>Peter Schmitt (New page: <noinclude>{{Subpages}}</noinclude> A planar curve defined by a quadratic equation: <!-- ''ax''<sup>2</sup> + ''bxy'' + ''cy''<sup>2</sup> + ''dx'' + ''ey'' + ''f'' = 0 --> <math>ax^2+bxy...) |
imported>Peter Schmitt No edit summary |
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A planar curve defined by a quadratic equation: <!-- ''ax''<sup>2</sup> + ''bxy'' + ''cy''<sup>2</sup> + ''dx'' + ''ey'' + ''f'' = 0 --> <math>ax^2+bxy+cy^2 +dx+ey+f =0 </math> in the affine plane, or <math> \sum_{i,j=0}^2 a_{ij} x_i x_j = 0 </math> ; also called a [[conic]] because of its geometrical generation. | A planar curve defined by a quadratic equation: <!-- ''ax''<sup>2</sup> + ''bxy'' + ''cy''<sup>2</sup> + ''dx'' + ''ey'' + ''f'' = 0 --> <math>ax^2+bxy+cy^2 +dx+ey+f =0 </math> in the affine plane, or <math> \sum_{i,j=0}^2 a_{ij} x_i x_j = 0 </math> in the projective plane; also called a [[conic]] because of its geometrical generation. | ||
Revision as of 18:05, 3 May 2010
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A planar curve defined by a quadratic equation: in the affine plane, or in the projective plane; also called a conic because of its geometrical generation.
