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### Euclidean and Non-Euclidean Geometry by Prof. Ian Biringer

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Euclidean and Non-Euclidean Geometries . We hope mathematician or person who’s interested in mathematics like these books. Euclidean and Non-Euclidean Geometry written by Prof. Ian Biringer, Boston College This is an other great mathematics book cover the following topics.

• 1. Introduction

• 2. Distance in Rn

• 3. Paths and lines

• 4. Polygons, Triangulations and Tilings

• 5. School districts and Convexity

• 6. Path length

• 7. The Chord Theorem

• 8. Isometries, especially of R2

• 9. Isometries of R3

• 10. Tilings

• 11. Area

• 12. Volume and non-measurable sets

• 13. Isoperimetric inequalities

• 14. Tangrams and Scissors Congruence

• 15. Polyhedra and the Dehn invariant

• 16. Spherical Geometry

• 17. Spherical isometries

• 18. Spherical area and polygons

• 19. Projections

• 20. Area of spherical polygons and Euler characteristic

• 21. Euclid’s axioms and Hyperbolic geometry

• 22. Incidence geometry

• 23. Lines, circles and inversions

• 24. A alternative geometric approach to circle inversion

• 25. The hyperbolic metric

• 26. Hyperbolic trigonometric functions

• 27. The pseudosphere and the tractrix

• 28. Hyperbolic isometries

• 29. The disc model

• 30. Hyperbolic circles

##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick • Divisible by 7 Shortcut trick • Divisible by 8 Shortcut trick • Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     