Difference-angle geometry reconstructs parabolas via a focal function, derives a pseudo-inner product and Stewart theorem analog from it, defines associated trigonometric functions, and recovers the difference angle as the parabolic degeneration of the Cayley-Klein cross-ratio angle.
\"U ber die sogenannte nicht- E uklidische geometrie
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The Fourth Geometry II: From Angle Axioms to Metric Foundations
Difference-angle geometry reconstructs parabolas via a focal function, derives a pseudo-inner product and Stewart theorem analog from it, defines associated trigonometric functions, and recovers the difference angle as the parabolic degeneration of the Cayley-Klein cross-ratio angle.