A Comparative Review of Recent Researches in Geometry.¶
Klein, F. (1872). A Comparative Review of Recent Researches in Geometry. Bulletin of the New York Mathematical Society, 2(1892–1893), 1892-1893.
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Domain-specific¶
- Geometric Transformation
- … admissible transformation group generally leaves fewer properties invariant: Euclidean geometry distinguishes distance, affine geometry forgets distance and angle but retains affine incidence and division ratios, and projective geometry retains still less metric structure while preserving incidence and cross-ratio.
This sourcePrimary statement of the Erlangen program.
- … admissible transformation group generally leaves fewer properties invariant: Euclidean geometry distinguishes distance, affine geometry forgets distance and angle but retains affine incidence and division ratios, and projective geometry retains still less metric structure while preserving incidence and cross-ratio.
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