The ellipse rolls without slipping along the x axis for one complete turn. Interestingly, the length of the curve generated by a focus is independent from the size of the minor axis:

1. Introduction In this note we derive the equations of motion of a homogeneous elliptic lamina of mass m and the major and minor axes of lengths of a and b which rolls without slipping along the …

I'm trying to solve Project Euler problem 525. My approach is to find a parametric equation that can model the path of the center point as it rolls, then take the arc length of that function for one rotation. …

The ellipse rolls without slipping along the x axis for one complete turn. Interestingly, the length of the curve generated by a focus is independent from the size of the minor axis:

§ 2 Tracking a Marked Point Let’s see some implications of this definition to tracking a marked point on an object that is rolling without slipping.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Feb 4, 2026 · I have been unable to get a such a function - but as the ellipse can roll as described it must exist. Whatever function I tried did not look right in the animation I made.