Definition of Pappian. Meaning of Pappian. Synonyms of Pappian

- collinear. A plane in which Pappus's theorem is universally true is called Pappian. Hessenberg (1905) showed that Desargues's theorem can be deduced from...
- Projective planes in which the "theorem" is valid are called pappian planes. If one considers a pappian plane containing a hexagon as just described but with...
- real 4-manifold. It and projective planes over other fields (known as pappian planes) serve as fundamental examples in algebraic geometry. The quaternionic...
- mathematician Beniamino Segre, is the statement: Any oval in a finite pappian projective plane of odd order is a nondegenerate projective conic section...
- examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In the...
- spaces of dimension d ≥ 3 (i.e., the point set is finite, the space is pappian), the following result is true: If O {\displaystyle {\mathcal {O}}} is...
- be non-degenerate; this is true over both the Euclidean plane and any pappian projective plane. Indeed, given any five points there is a conic p****ing...
- mappings. As a projective mapping in a projective plane over a field (pappian plane) is uniquely determined by prescribing the images of three lines...
- Panglossian – Pangloss, Voltaire's fictional character pappian – Pappus of Alexandria (as in pappian plane) Paracelsian – Paracelsus parkinsonian – James...
- projective plane is also a projective plane. The dual plane of a pappian plane is pappian and can also be coordinatized by homogeneous coordinates. A nondegenerate...