1. These geodesic equations are quite familiar.

2. From these a geodesic surface can be formed which contains all the linear combinations, all of which are geodesics.

3. The geodesic dome was invented by R. Buckminster Fuller in 1947.

4. Pitching: a fairly standard geodesic shape which is easy to erect.

5. K will have the same value for all geodesic surfaces and at all points.

6. Buckminster Fuller has made a life-time study of geodesic domes.

7. He knew what Greenpeace was, and the geodesic dome, and sado-masochism, and even supply-side economics.

8. First let us establish how the geodesic equation simplifies when the motion can be described approximately by classical mechanics.

9. Fuller named this structure the geodesic dome.

10. The Geodesic Dome —— the House of the Future?

11. While, geodesic distance is a kind of Manifold distance which is better to show the intrinsic link of genes.

12. The proposed method is an improvement of the geodesic distance function approach and morphological median approach, which increases the method's effectiveness.

13. In the cutting-pattern design, the geodesic lines are taken as cutting pattern line from which pattern shapes of air-supported membra.

14. The geodesic dome was associated with the same sort of progressive thinking in design that led to the wind turbine.

15. The geodesic meshed cable - net structure was used to support reflector of the Five - hundred - meter Telescope ( FAST ).

16. In the cutting-pattern design,(http:///geodesic.html) the geodesic lines are taken as cutting pattern line from which pattern shapes of air-supported membrane structure are gained.

17. The geodesic distance way can give expression to Topology relation of model, they will have a various of application between both ways.

18. An algorithm for computing the geodesic line between the two points of an algebraic surface was presented.

19. This would require a massive body taking such a path to follow a space-like geodesic.

20. He was forty-four years old, on display under a geodesic dome.

21. Then, because the space is locally flat, each such path element is part of some geodesic.

22. The analysis of Mercury's motion commences with the statement that Mercury follows a geodesic in the Schwarzschild space-time around the Sun.

23. In cases where the route does not follow a geodesic it would be necessary to split the path into infinitesimal steps.

24. It is shown that the proper acceleration of null geodesic with conjugate points approaches infinity.

25. There are no limits to the size of a geodesic dome.

26. In this paper(), the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric spaces by computing the fundamental group.

27. However, no one yet has acted on one of Fuller's ideas for the geodesic dome.

28. "I remember very well that he was talking about this new thing, the geodesic dome, " she said. "That's what he said to me. "

29. In particular, it gives a characterization of closed totally geodesic hypersurfaces in such an ambient space.

30. As an algebraic system, Lie triple systems arise upon consideration of certain sub-spaces of Riemannian manifolds, the totally geodesic submanifolds.

31. Mr. King, 51, has been off the grid for 28 years, he said: he lives in a geodesic dome on 10 acres in Enosburg Falls, grows a good deal of his food, heats with wood.

32. A geodesic dome is a round building made of many straight-sided pieces.

33. Based on the geodesic, a parallel equidistant path generation algorithm for composite fiber placement was implemented.

34. In order to transform conveniently the directional angle of a geodesic line into the geodetic azimuth, the solution of the meridianal convergence is expressed by geodesic coordinates of this point.

35. The existence of closed geodesic lines (oscillate loci) is proved. Although there are infinite closed loci on the surface of scatterer, they yield same result in determining SEM poles.

36. The U.S. pavilion was a 200 foot-high geodesic dome designed by inventor R. Buckminster Fuller, a trailblazer for geodesic structures.

37. Plantagon, a Swedish-American company, has recently created their take on the vertical farm idea: a geodesic dome containing an urban Plantagon? greenhouse.

38. A new method to deform surfaces using radial basis function is proposed by replacing the Euclidean distance as geodesic distance.

39. The geodesic dome is a structure shaped like a piece of a sphere.

39. try its best to gather and create good sentences.

40. The torsion of the intersection curve of two surfaces in R3 can be expressed by geodesic torsions, normal curvatures and the angle between surfaces.

41. By giving the definitions of geodesic main torsion and torsion line, discussing their some properties.

42. This paper presents a geodesic - based constrained deformation method for polygonal mesh models.

43. Then a framework of geodesic active regions is applied based on them to get final results.

44. The geodesic active contour model has been wide used in image segmentation for its computational stability.

45. Secondly, geodesic Gaussian basis functions are defined on the graph. A shortest path obtained by a shortest path faster algorithm is used to approximate a geodesic distance.

46. The minimum potential energy principle is used to prove that the balance of equal-tension geometrical nonlinear cables is achieved at the geodesic line when it slides freely on membrane surface.

47. One solution he came up with in the late 1940′s is the geodesic dome, the invention he is most famous for.

48. Explicit iterated integral formulae of the moments in various order of the hitting times of geodesic spheres by Brownian motions on rotationally symmetric manifolds are given in this paper.

49. From the property of geodesic curve , a new arithmetic of cutting line is put forward.

50. In the past, in geodesic surveying, a system of formulas derived from spherical trigonometry was used. This method is much complicated and the precision of the results is not sufficiently high.

51. The first fundamental form on the ellipsoidal surface and its three coefficients are deduced by the geodesic coordinate.