عنوان

Experiencing geometry :

0131437488

9780131437487

Experiencing geometry :

[Book]

Euclidean and non-Euclidean with history /

David W. Henderson, Daina Taimin̦a.

3rd ed.

Upper Saddle River, N.J. :

Pearson Prentice Hall,

©2005.

xxx, 392 pages :

illustrations ;

24 cm

Includes bibliographical references (pages 375-384) and index.

Historical strands of geometry -- Ch. 1. What is straight? -- Ch. 2. Straightness on spheres -- Ch. 3. What is an angle? -- Ch. 4. Straightness on cylinders and cones -- Ch. 5. Straightness on hyperbolic planes -- Ch. 6. Triangles and congruencies -- Ch. 7. Area and holonomy -- Ch. 8. Parallel transport -- Ch. 9. SSS, ASS, SAA, and AAA -- Ch. 10. Parallel postulates -- Ch. 11. Isometries and patterns -- Ch. 12. Dissection theory -- Ch. 13. Square roots, Pythagoras, and similar triangles -- Ch. 14. Projections of a sphere onto a plane -- Ch. 15. Circles -- Ch. 16. Inversions in circles -- Ch. 17. Projections (models) of hyperbolic planes -- Ch. 18. Geometric 2-manifolds -- Ch. 19. Geometric solutions of quadratic and cubic equations -- Ch. 20. Trigonometry and duality -- Ch. 21. Mechanisms -- Ch. 22. 3-spheres and hyperbolic 3-spaces -- Ch. 23. Polyhedra -- Ch. 24. 3-manifolds -- the shape of space -- App. A. Euclid's definitions, postulates, and common notions -- App. B. Constructions of hyperbolic planes.

0

Geometry.

Géométrie.

Geometrie

Geometrie.

Geometry.

Nichteuklidische Geometrie

Nichteuklidische Geometrie.

Henderson, David W., (David Wilson),1939-

Taimin̦a, Daina.

20200822085352.0

[Book]

Y