evolute

At the same time, users requirements/expectations evolute with time, last year killer feature might not be this year's.

You could always use www.evolute.io with free credits and simply shift between the free usage tiers, across platforms.

If the point is inside the evolute of the ellipse then the quartic has four real solutions, which gives two local minima and two local maxima of distance.

Isn't life suppose to evolute in some form, [..] Life is not 'supposed to' do anything.

If the point is outside or on the evolute of the ellipse then the quartic has two real solutions, which gives one local minima and one local maxima of distance.

Isn't life suppose to evolute in some form, rather than starting from scratch?

I recently made a post on reddit[7] with a GIF showing the osculating circles and the evolute of an ellipse.

In the figure where you talk about curvature matching, you are effectively tracing out the Evolute[2]: the intersection points of nearby normal lines trace out the evolute in the limit (the locus of centers of curvature of the curve).

I think that actually drawing the evolute would be a good addition to the text (and would improve the reader's understanding of the concept of curvature).

I could be all wrong but what stuck in my head was that machine and man both evolute together thus providing with new and better ways to interact.

We actually don't know how the category menu will evolute in fact, as we are going to index some blog and continuing to add recipes on categories will be a huge work!

<canvas> and WebGL just made Flash evolute quicker.

Sure, I can see "low stakes plus human review" sounds doable but not that much a evolute from "no stakes".

Spivak doesn't use early high school maths, of course;) mentioning the fact that there is such a thing as an "evolute" is a good point, though - could I convinve you to file an issue on the tracker so I don't forget about that?