Disquisitiones generales circa superficies curvas¶
Gauss, C. F. (1828). Disquisitiones generales circa superficies curvas.
Cited by¶
1 citation across 1 artifact.
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Mechanisms¶
- Patchwise Atlas and Transition Map
- Its strength is that it delivers global answers from local representations without ever asserting a global gauge that does not exist — the only honest option when a single description is provably singular somewhere, as the impossibility of a distortion-free flat map of a curved surface guarantees for the globe.
This sourceEstablishes that Gaussian curvature is intrinsic, precluding a distance-preserving flat representation of a curved surface such as the globe.
- Its strength is that it delivers global answers from local representations without ever asserting a global gauge that does not exist — the only honest option when a single description is provably singular somewhere, as the impossibility of a distortion-free flat map of a curved surface guarantees for the globe.
Verification¶
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Registry ID ref:b878a15c26b8 · see in the full table