Titlebook: Euclidean Geometry and its Subgeometries; Edward John Specht,Harold Trainer Jones,Donald H. Book 2015 Springer International Publishing S

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https://doi.org/10.1007/978-3-319-23775-6Betweenness; Euclidean geometry; Euclidean plane; Geometric axioms; Incidence; Least Upper Bound

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https://doi.org/10.1057/9781137436719s of segments, rays, and lines that are needed for a coherent geometry. The remainder of the chapter is a study of the basic interactions between lines, angles, triangles, and quadrilaterals, comprising Pasch geometry.

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Devotion to St. Anne in Texts and Imagess. Every line is an axis for some reflection. A line of symmetry for a set is a line whose reflection maps that set onto itself. Every angle has a line of symmetry, its angle bisector. Compositions of reflections are isometries, and isometric sets are congruent. These concepts provide access to the

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