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    The Essence of Mathematics Through Elementary Problems by Borovik, Alexandre, Gardiner, Tony

    Published 2019
    Table of Contents: “…Geometry -- 5.1 Comparing geometry and arithmetic -- 5.2 Euclidean geometry: a brief summary -- 5.3 Areas, lengths and angles -- 5.4 Regular and semi-regular tilings in the plane -- 5.5 Ruler and compasses constructions for regular polygons -- 5.6 Regular and semi-regular polyhedra -- 5.7 The Sine Rule and the Cosine Rule -- 5.8 Circular arcs and circular sectors -- 5.9 Convexity -- 5.10 Pythagoras' Theorem in three dimensions -- 5.11 Loci and coonic sections -- 5.12 Cubes in higher dimensions -- 5.13 Chapter 5: Comments and solutions -- VI. …”
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