Euclidean Geometry and its Subgeometries
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portes grátis
Euclidean Geometry and its Subgeometries
Specht, Edward John; Calkins, Keith G.; Rhoads, Donald H.; Jones, Harold Trainer
Birkhauser Verlag AG
03/2018
527
Mole
Inglês
9783319795331
15 a 20 dias
831
Descrição não disponível.
Preface.- ?Preliminaries and Incidence Geometry (I).- Affine Geometry: Incidence with Parallelism (IP).- Collineations of an Affine Plane (CAP).- Incidence and Betweenness (IB).- Pasch Geometry (PSH).- Ordering a Line in the Pasch Plane (ORD).- Collineations Preserving Betweenness (COBE).- Neutral Geometry (NEUT).- Free Segments of a Neutral Plane (FSEG).- Rotations about a Point of a Neutral Plane (ROT).- Euclidean Geometry Basics (EUC).- Isometries of a Euclidean Plane (ISM).- Dilations of a Euclidean Plane (DLN).- Every Line in a Euclidean Plane is an Ordered Field (OF).- Similarity on a Euclidean Plane (SIM).- Axial Affinities of a Euclidean Plane (AX).- Rational Points on a Line (QX).- A Line as Real Numbers (REAL); Coordinatization of a Plane (RR).- Belineations on a Euclidean/LUB Plane (AA).- Ratios of Sensed Segments (RS).- Consistency and Independence of Axioms; Other Matters Involving Models.- References.- Index.
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Betweenness;Euclidean geometry;Euclidean plane;Geometric axioms;Incidence;Least Upper Bound
Preface.- ?Preliminaries and Incidence Geometry (I).- Affine Geometry: Incidence with Parallelism (IP).- Collineations of an Affine Plane (CAP).- Incidence and Betweenness (IB).- Pasch Geometry (PSH).- Ordering a Line in the Pasch Plane (ORD).- Collineations Preserving Betweenness (COBE).- Neutral Geometry (NEUT).- Free Segments of a Neutral Plane (FSEG).- Rotations about a Point of a Neutral Plane (ROT).- Euclidean Geometry Basics (EUC).- Isometries of a Euclidean Plane (ISM).- Dilations of a Euclidean Plane (DLN).- Every Line in a Euclidean Plane is an Ordered Field (OF).- Similarity on a Euclidean Plane (SIM).- Axial Affinities of a Euclidean Plane (AX).- Rational Points on a Line (QX).- A Line as Real Numbers (REAL); Coordinatization of a Plane (RR).- Belineations on a Euclidean/LUB Plane (AA).- Ratios of Sensed Segments (RS).- Consistency and Independence of Axioms; Other Matters Involving Models.- References.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
