Descriptive differential dynamics: linear fractional equation, identity, and the continuous origin

An idee fixe, x = y and identity, identity under symmetry and complementary duals, plane curves and integral equations vis-a-vis differential equations and their solutions, indeterminate forms, closures and compactifications and the erasure of indeterminate forms, the linear fractional equation and ellipses and ovals and centers and ideal points, spirals and the spiral-space-filling-curve, the origin, singularity theory, induction and deduction, centrality and the vacuous and trivial, geometry and the origin, a continuous origin.