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The Northeastern Reporter
Includes the decisions of the Supreme Courts of Massachusetts, Ohio, Indiana, and Illinois, and Court of Appeals of New York; May/July 1891-Mar./Apr. 1936, Appellate Court of Indiana; Dec. 1926/Feb. 1927-Mar./Apr. 1936, Courts of Appeals of Ohio.
Euclidean Geometry and its Subgeometries
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems for triangles, embed...
Bulletin
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