Difference between revisions of "ConjugateDiameter Command"
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;ConjugateDiameter[ <Line>, <Conic> ]:Returns the [[w:Conjugate diameters|conjugate diameter]] of the diameter that is parallel to the given line (relative to the conic section). | ;ConjugateDiameter[ <Line>, <Conic> ]:Returns the [[w:Conjugate diameters|conjugate diameter]] of the diameter that is parallel to the given line (relative to the conic section). | ||
Revision as of 11:30, 21 July 2015
- ConjugateDiameter[ <Line>, <Conic> ]
- Returns the conjugate diameter of the diameter that is parallel to the given line (relative to the conic section).
- Example:
ConjugateDiameter[-4x + 5y = -2, x^2 + 4 y^2 + 2x - 8y + 1 = 0]yields line 5x + 16y = 11
- ConjugateDiameter[ <Vector>, <Conic> ]
- Returns the conjugate diameter of the diameter that is parallel to the given vector (relative to the conic section).
- Example: Let u = (4,1) be a vector. Then
ConjugateDiameter[u, x^2 + 4 y^2 + 2x - 8y + 1 = 0]yields line x + y = 0
