Titlebook: Geometry; A Metric Approach wi Richard S. Millman,George D. Parker Textbook 19811st edition Springer-Verlag Inc. 1981 Cartesian.Euclid.Geom

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Preliminary Notions,h other by a collection of ., or first principles. For example, when we discuss incidence geometry below, we shall assume as a first principle that if . and . are distinct points then there is a unique line that contains both . and ..

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Incidence and Metric Geometry, satisfied. After the definitions are made, we will give a number of examples which will serve as models for these geometries. Two of these models, the Euclidean Plane and the Hyperbolic Plane, will be used throughout the rest of the book.

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Betweenness and Elementary Figures, the most intuitive method and led to simple verification of the incidence axioms. However, treating vertical and non-vertical lines separately does have its drawbacks. By making it necessary to break proofs into two cases, it leads to an artificial distinction between lines that really are not diff

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Neutral Geometry,try the appropriate notion of equivalence is that of “congruence.” We have already discussed congruence for segments and angles. In this chapter we will define and work with congruence between triangles.

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