Curve through more than 3 points

Majid Alawi shared this question 2 years ago
Answered

Can somebody help me with finding a general way of creating or seeing a formula for a curve through more than 3 point? Parametric as wel as polar and general. No mather what?

like: y=x^2

x=y^2

conic sections


etc!


Thanks for any reaction!

Comments (5)

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spline?

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Is it possible to see an example? Is it polar as wel as parametric?

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2

Maybe you can post some examples of what you want exactly

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Of course! Thanks for your time!


In geogebra (see picture) it is possible to see the equation of a circle through 3 points.

The same circle has a polar equation and a parametric one.


My question is wheather it is possible for any other function or curve.


So: (0,0) (1,1) (4,2) makes a circle (which we know) and also x=y^2 and maybe other curves through the same points.

Or for example (1,1) (2,2) (3,1) (3,2) (2,0) gives this equation: X^2+Y^2-XY-3X=-2 which is a Hyperbola.

x=y^2 will not be given (I do not know why?) but I want also the parametric equation of any kind of curve through these (right now 3 or 5 and maybe later 4 or more) points.


Maybe it is not possible at all! But you do not know!


I just wanna know! Curiosity!

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