Search for "Affine geometry" in article titles:

1. Affine geometry: The branch of geometry whose subject are the properties of figures that are invariant with respect to affine transformations (cf. Affine transformation). (Mathematics) [100%] 2023-06-28
2. Affine geometry: In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. As the notion of parallel lines is one of the main properties that is independent of any ... (Euclidean geometry without distance and angles) [100%] 2025-06-10 [Affine geometry]
3. Affine geometry of curves: In the mathematical field of differential geometry, the affine geometry of curves is the study of curves in an affine space, and specifically the properties of such curves which are invariant under the special affine group SL ( n , R ) ⋉ R ... [70%] 2023-02-27 [Curves] [Differential geometry]...
4. Centro-affine geometry: The branch of affine geometry in which one studies invariants of centro-affine transformations: $ \overline{x}\; {} ^ {i} = A _ {s} ^ {i} x ^ {s} $. Centro-affine transformations leave one point (the centre) fixed. (Mathematics) [81%] 2022-11-11
5. Equi-affine geometry: The branch of affine geometry that studies the invariants of an affine unimodular group of transformations. The most important fact is the existence in equi-affine geometry of areas of parallelograms in plane geometry and of volumes of parallelepipeds in ... (Mathematics) [81%] 2023-10-17 [Geometry]
6. Affine differential geometry: The branch of geometry dealing with the differential-geometric properties of curves and surfaces that are invariant under transformations of the affine group or its subgroups. The differential geometry of equi-affine space has been most thoroughly studied. (Mathematics) [81%] 2023-09-13
7. Affine differential geometry: Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine differential geometry follows from Klein's Erlangen program. [81%] 2024-09-13 [Differential geometry]
8. Affine differential geometry: Affine differential geometry is a type of differential geometry which studies invariants of volume-preserving affine transformations. The name affine differential geometry follows from Klein's Erlangen program. [81%] 2025-09-02 [Differential geometry]
9. Affine plane (incidence geometry): In geometry, an affine plane is a system of points and lines that satisfy the following axioms: In an affine plane, two lines are called parallel if they are equal or disjoint. Using this definition, Playfair's axiom above can ... (Incidence geometry) [70%] 2023-11-11 [Incidence geometry]