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Dec
12
answered What's the area of the shape defined by all points whose distances from two focal points multiply to give the same product?
Dec
12
revised What is locus of a fixed point on a circle of radius $r$ rolling over the curve $y=\sin x$?
added 97 characters in body; edited title
Dec
12
revised Circle Rolling on Ellipse
added 18 characters in body
Dec
12
revised How to compute a negative “Multibrot” set?
added 5 characters in body
Dec
11
awarded  Revival
Dec
11
comment Characterizations of cycloid
@Blue, have a look at the cartoon in my answer. :)
Dec
11
answered What is locus of a fixed point on a circle of radius $r$ rolling over the curve $y=\sin x$?
Dec
11
comment What is the length of a sine wave from $0$ to $2\pi$?
@Sol, we will have to agree to disagree, then; $\pi$ just happens to be a convenient constant for me, as opposed to a function that may or may not be implemented in a given computing environment.
Dec
11
comment What is the length of a sine wave from $0$ to $2\pi$?
@Sol, really, you consider $r \theta$ to be an "infinite series"?
Dec
11
revised What is the length of a sine wave from $0$ to $2\pi$?
added 3 characters in body
Dec
11
answered x(u,v), y(u,v), z(u,v) parametric equations for a special cycloid
Dec
11
answered Characterizations of cycloid
Dec
11
revised x(u,v), y(u,v), z(u,v) parametric equations for a special cycloid
added 1 character in body
Dec
11
revised Focus of a rolling parabola traces a catenary - geometric explanation
added 1 character in body
Dec
11
revised Focus of a rolling parabola traces a catenary - geometric explanation
deleted 2 characters in body
Dec
11
answered Circle Rolling on Ellipse
Dec
11
comment Circle Rolling on Ellipse
As I noted in the comments, the elliptic integral of the second kind is necessary here, since it pops up in the expression for the arclength of the ellipse. So yes, complicated…
Dec
11
comment Closed form for $\sum_{n=1}^\infty \frac 1 {2^n - 1}$
Have a look at the Lambert series.
Dec
11
revised Circle Rolling on Ellipse
edited tags
Dec
11
revised Roll one ellipse on another: Locus of center ever a circle?
added 1 character in body