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In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle.
History, Systems of axioms & Affine transformations
Explore the main themes, entities and connections around Affine geometry. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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affine geometry points lines space plane one two group projective parallel point axioms euclidean line developed vector also transformations ordered
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| a unit isosceles right angled triangle to give 3 4 log e | instance of | and so only needs to be calculated from a simple case | 0.80 | text |
| half the base times the height for the area of a triangle | instance of | for all triangles.Familiar formulas | 0.80 | text |
| or a third the base times the height for the volume of a pyramid | instance of | for all triangles.Familiar formulas | 0.80 | text |
| are likewise affine invariants | instance of | for all triangles.Familiar formulas | 0.80 | text |
| Affine geometry | related to Affine space | Affine | 0.60 | section |
| Affine geometry | related to Affine space | There | 0.60 | section |
| Affine geometry | related to Affine space | In | 0.60 | section |
| Affine geometry | related to Affine space | Synthetically | 0.60 | section |
| Affine geometry | related to Affine space | Defining | 0.60 | section |
| Affine geometry | related to Affine space | Finite | 0.60 | section |
| Affine geometry | related to Affine transformations | Geometrically | 0.60 | section |
| Affine geometry | related to Affine transformations | We | 0.60 | section |
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