
Experiencing Geometry: On Plane and Sphere, 1/e
David W. Henderson, Cornell University Published July, 1995 by Prentice Hall Engineering/Science/Mathematics
 
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places problems in a flexible, learnbydoing context that rewards exploration and encourages conjectures and experiments. designs problems to be accessible to everyone, allowing each student to pursue each problem to the best of their ability. encourages students to express their thoughts even when they can't solve a particular problem completely in an effort to...
2. “Straightness” on a Sphere. 3. What is an Angle? 4. Straightness on Cylinder and Cone. 5. SAS and ASA. 6. Area, Parallel Transport and Holonomy. 7. ITT, SSS and ASS. 8. Parallel Transport. 9. SAA and AAA. 10. Parallel Postulates. 11. 3Spheres in 4Space. 12. Dissection Theory. 13. Square Roots, Pythagoras and Similar Thoughts. 14. Geometric Solutions of Quadratic and Cubic Equations. 15. Projections of a Sphereonto a Plane. 16. Duality and Trigonometry. 17. Isometries and Patterns. 18. Polyhedra. Appendix A. A Geometric Introduction to Differential Geometry. Bibliography. Index.
