Implicit curves

Zbynek shared this idea 7 years ago

Answered

In GeoGebra beta it's now possible to have implicit curves like

a: sin(x) + sin(y) = 1

Known bugs:

* the drawing algorithm is very simple and fails in some cases

* for independent curves, file sav + open does not work (fixed for next release)

Planned features:

* Point on curve

* Transforms: translate / dilate / rotate ...

* Commands: Tangent, Intersect, Curvature, CurvatureVector, ImplicitDerivative

In case you have some curves you think are important to work nicely, please list them in this topic.

I like this idea

Comments (4)

themadmathematician ● 7 years ago

Very nice.

Rather than specifying curves, I would love to be able to calculate extreme points, even if this means bad precision - both for implicit curve and for loci. In modelling you often have a geometrical model in one window, investigate how one value depend on an other in another window, produce a locus to illustrate this and then you want to find a maximum of the locus. Which is currently not possible. Workarounds involve a cubmersom process of putting points on the locus and fitting a polynomial to these points. I realize that a locus has low precision but surely it must still be possible to find a maximum in some sense?

The same goes for implicit functions. Drawing them are nice, investigating them even better.

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