Re: For the Mathematicians.

Thanks, Thomas. I’ve done some of that but you suggest some better keywords to search with. I will give it another go. Roger > On Jan 22, 2022, at 12:34 PM, Thomas von Fintel via use-livecode > wrote: > > I am not a mathematician, but this kind of equation is called implicit > function,

Re: For the Mathematicians.

Hi François, My aim is to find a way to plot any and all implicit functions, not to plot only the lemniscate. But, that is a very interesting Wikipedia entry. Sorry I wasn’t clear! Thanks, Roger > On Jan 22, 2022, at 4:37 PM, francois.chaplais via use-livecode > wrote: > > In >

Re: For the Mathematicians.

I am not a mathematician, but this kind of equation is called implicit function, implicit equation or implicit curve. If you search for that combined with draw or plot, you might find explanations. But it seems to be complicated. Hope this helps. Thomas > Am 22.01.2022 um 17:56 schrieb Roger

Re: For the Mathematicians.

In https://en.wikipedia.org/wiki/Lemniscate_of_Bernoulli use the formulation in polar coordinates. You sample theta, compute the corresponding radius r, convert the polar coordinates to usual cartesian coordinates, and draw a line between

For the Mathematicians.

This equation for the lemniscate, (x^2+y^2)^2 = 100*(x^2-y^2) is an example of a 2 variable function f(x,y). I am trying to figure how to plot such functions in LC. I can do simple functions like y = f(x) and x = f(t), y = f(t). Calculators such Good Grapher on the Mac do these f(x,y) functions