Differential Form of Arc Length on Curved Surface/Historical Note
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Historical Note on Differential Form of Arc Length on Curved Surface
The Differential Form of Arc Length on Curved Surface was established by Carl Friedrich Gauss in his $1827$ work Disquisitiones Generales circa Superficies Curvas.
This construction enables the determination of geodesic curves.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.25$: Gauss ($\text {1777}$ – $\text {1855}$)