 |
|
| |
|
|
|
at Global Oneness Community.
Share your dreams and let others help you with the interpretation!
Dream Sharing Forum
|
|
Euclidean group - Rigid body motions | | Euclidean group - Rigid body motions: Encyclopedia II - Euclidean group - Rigid body motions | | Another use of a Euclidean group is for the kinematics of a rigid body, in classical mechanics. A rigid body motion is in effect the same as a curve in E+(3).
The Euclidean groups are Lie groups, so that calculus notions can be adapted immediately from this setting.
...
See also:Euclidean group, Euclidean group - Subgroup structure matrix and vector representation, Euclidean group - Subgroups, Euclidean group - Relation to the affine group, Euclidean group - Rigid body motions, Euclidean group - Overview of isometries in up to three dimensions, Euclidean group - Commuting isometries, Euclidean group - Conjugacy classes | | | Euclidean group, Euclidean group - Commuting isometries, Euclidean group - Conjugacy classes, Euclidean group - Overview of isometries in up to three dimensions, Euclidean group - Relation to the affine group, Euclidean group - Rigid body motions, Euclidean group - Subgroup structure matrix and vector representation, Euclidean group - Subgroups, fixed points of isometry groups in Euclidean space, Euclidean plane isometry, Poincaré group | | |
| | | Euclidean group: Encyclopedia II - Euclidean group - Rigid body motions
Euclidean group - Rigid body motions
Another use of a Euclidean group is for the kinematics of a rigid body, in classical mechanics. A rigid body motion is in effect the same as a curve in E+(3).
The Euclidean groups are Lie groups, so that calculus notions can be adapted immediately from this setting.
Other related archives3D isometries which leave the origin fixed, Erlangen programme, Euclidean plane isometry, Euclidean space, Euclidean symmetries, Lie groups, Poincaré group, affine geometry, affine group, affine transformations, angle, calculus, classical mechanics, conjugacy class, curve, degrees of freedom, dihedral group, discrete, distance, fixed points of isometry groups in Euclidean space, glide plane, glide reflection, groups, helix, index, involution, isometries, kinematics, lattices, mathematics, metric, mirror, normal subgroup, orientation, origin, orthogonal group, orthogonal matrix, quotient group, reflection, rigid body, rotation, rotation group, roto-reflection, rotoreflection, screw operation, semidirect product, space group, space groups, special orthogonal group, symmetry group, translational, triangular number
 Adapted from the Wikipedia article "Rigid body motions", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
|
|
|
More material related to Euclidean Group can be found here:
|
|
|
« Back
|
Search the Global Oneness web site |
|
|
|
|
|
Sneak-Peek of Global Oneness Community
Hi friend! The Global Oneness Community, the place for information and sharing about Oneness is not really launched yet (you will see there is still some clean up to do) ...but it is now open for a sneak-peek! And if you wish - please register and become one of the very first members to do so! Jonas
Forum Home,
Articles,
Photo Gallery,
Videos,
News,
Sitemap
...and much more!
|
