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Euclidean geometry of plane∗ matte† 2013-03-21 19:04:32 Basic objects 1. point, 2. line, ray, line segment, 3. plane, 4. angle, 5. convex angle, 6. circle, 7. tangent line, 8. secant line, 9. normal line 10. center normal 11. angle bisector 12. triangle, 13. congruent triangles, 14. triangle solving, 15. polygon, 16. regular polygon ∗ hEuclideanGeometryOfPlanei created: h2013-03-21i by: hmattei version: h36962i Privacy setting: h1i hTopici h51-01i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1 Basic concepts 1. incidence, 2. betweenness, 3. congruence, 4. similarity, 5. continuity, 6. parallelism, 7. perpendicularity, 8. corresponding angles in transversal cutting 9. intercept theorem 10. locus 11. dilation and translation, 12. rotation and reflection, 13. inversion of plane, 14. harmonic division, 15. angle of view, 16. compass and straightedge constructions Analytic geometry 1. Cartesian coordinates, 2. polar coordinates, 3. line in plane 4. slope, slope angle, condition of orthogonality, 5. parabola, 6. circle, 7. ellipse, 8. hyperbola, 9. conjugate hyperbola, 10. unit hyperbola, 2 11. tangent of conic section, 12. hyperbolas orthogonal to ellipses 13. power of point, 14. chordal, 15. confocal, 16. transition to skew-angled coordinates, 17. conjugate diameters of ellipse, 18. perimeter of ellipse 3