The near-circle is flatter than a true circle at the 45-, 135-, 225-, and 315-degree rays. At the 45 degree ray, the unit circle's x- and y- coordinates are sqrt(2)/2 or approximately 0.70710678. For the near-circle, I get 0.691606781187, about a 2.2% error. Kerry On Mon, Apr 30, 2018 at 7:48 PM, David Wilson <davidwwilson@comcast.net> wrote:
cos(x) + cos(y) = 1 + cos(1).
The plot of this equation is, I believe, an infinite grid of near-circles. I plotted this on Replot, but I couldn't visually distinguish the curves from circles.
I'd be curious to know how different the curve centered at the origin is from a unit circle. I suspect it is circumscribed by the unit circle centered at the origin. What is its circumference and area?
I suspect these curves are related to the dots used in halftone printing. Do they have a name?
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun