tacnode
Sign in to savethumb|right|214px|A tacnode at the origin of the curve defined by (x^2+y^2-3x)^2 - 4x^2(2-x) = 0.
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- More general background
- See also
- References
- Further reading
- External links
thumb|right|214px|A tacnode at the origin of the curve defined by (x^2+y^2-3x)^2 - 4x^2(2-x) = 0.
In classical algebraic geometry, a tacnode (also called a point of osculation or double cusp) is a kind of singular point of a curve. It is defined as a point where two (or more) osculating circles to the curve at that point are tangent. This means that two branches of the curve have ordinary tangency at the double point.
Connections
algebraic curve
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Riemann surface
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group action
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diffeomorphism
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International Standard Book Number
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complex number
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integer
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function
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real number
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coordinate system
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variable
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group
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conic section
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curve
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tangent
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algebraic geometry
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Vladimir Arnold
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domain of a function
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elliptic curve
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MathWorld
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