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THE FOUNDATIONS OF GEOMETRY

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A systematic discussion of the axioms upon which the Euclidean Geometry is based. By DAVID HILBERT, Professor of Mathematics, University of Göttingen. Translated by E. J. Townsend, University of Illinois.

Defining the elements of geometry, points, straight lines, and planes, as abstract things, David Hilbert sets up in this book a simple and complete set of independent axioms defining the mutual relations of these elements in accordance with the principles of geometry; that is, in accordanc...