Euclidean geometry and its subgeometries. (2015)

• Record Type: Book
• Further Information: Note: Edward John Specht, Harold Trainer Jones, Keith G. Calkins, Donald Rhoads.
• Authors: Specht, Edward John; Jones, Harold Trainer; Calkins, Keith G (Keith Gordon), 1958-; Rhoads, Donald
• Contents: 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 ofa 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.
• Publisher Details: Cham : Birkhäuser
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (527 pages)
• Subjects: 516.2; Mathematics; Geometry; Euclid's Elements; Mathematics -- History & Philosophy; History of mathematics; Mathematics -- Geometry -- General; Geometry
• Languages: English
• ISBNs: 9783319237756
• Related ISBNs: 9783319237749
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.