Representations, Boundaries, and Curvature: From Circles to Ellipses via Green and Stokes

STOKES • GREEN • RIEMANN SURFACES

A unified visual and mathematical laboratory bridging representation transformations, boundary-to-area conservation laws, and the Riemannian metric divergence from circles to elliptic curves.

Interactive Dual-Axis Laboratory
Semi-major axis $a$ 2.50
Semi-minor axis $b$ 1.50
Parameter $t$ (Trajectory) 0.78 rad
Analytical Metrics & Mathematical Structure
TIER 1 ACTIVE
Enclosed 2D Area ($A$)
πab = 11.781
Numerical Perimeter ($S$)
12.825
Eccentricity ($e$)
0.800
Focal Distance ($c = \sqrt{a^2-b^2}$)
2.000