FIGURES

1. Surface of revolution of three klothoids

2. The hierarchy tree of objects for the representation of a given surface S

3. Dandelin's spheres, concept, reality and desirable representation

4. The natural value for Vis

5. A sphere without contour and with contour

6. The concept of a contour point

7. An explicit surface and the projection of its contour line in the parameter plane

8. The intersection of an explicit surface and an exponential cone

9. Level lines on an explicit surface

10. The geometric definition of a double egg line

11. The geometric definition of a rosette

12. A family of curves (p-norm) and their envelope; a = 2

13. A family of curves (p-norm) and their envelope; a = 4

14. A family of curves (p-norm) and their envelope; a = 3/4

15. A family of curves (p-norm) and their orthogonal trajectories; a = 1/2

16. A family of curves (p-norm) and their orthogonal trajectories; a = 1

17. A family of curves (p-norm) and their orthogonal trajectories; a = 4/3

18. A family of curves (metric) and their orthogonal trajectories

19. The vectors of trihedra of a helix

20. Vectors of curvature and osculating circles

21. The torsion along a non-planar curve on a cone

22. Third order approximations of a helix in the osculation, normal and rectifying planes

23. Helix with osculating plane and osculating sphere

24. A curve with k(s) = c·s

25. A curve with k(s) = c/Ös

26. Orthogonal projections of lines of constant slope on a sphere and a paraboloid of rotation on to planes

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