However, axle 1 attaches to the gimbal at the red points on the red plane of rotation in the diagram, and axle 2 attaches at the blue points on the blue plane.
42.
A simple rotation in " n " dimensions takes place about ( that is at a fixed distance from ) an ( )-dimensional subspace orthogonal to the plane of rotation.
43.
In reference to the figure illustrated in the blade forces section, it is evident that the angle between the apparent wind speed and the plane of rotation is dependent upon the rotor speed.
44.
Geometric algebra # Geometric interpretation covers it in some detail, Plane of rotation and Bivector cover some aspects of it .-- deeds 00 : 36, 28 June 2016 ( UTC)
45.
And now, to do something useful, perhaps : Instead of having our plates and saucers all aligned on the same plane of rotation, we tilt the saucers up at a 45 degree angle.
46.
Consider a particle rotating in a verticle plane as shown in the sketch . [ The sketch consists of a three-dimensional Cartesian coordinate system with a circle representing the particle's plane of rotation.
47.
An alternative statement is to write the axis vector as a cross product of any two nonzero vectors and which define the plane of rotation, and the sense of the angle is measured away from and towards.
48.
Also shown are a set of fixed coordinate axes with unit vectors \ hat { \ mathbf { x } } and \ hat { \ mathbf { y } } and the planes of rotation of each axle.
49.
The other predicted effect is that the saucers, by virtue of being constantly forced by the plate's rotation out of their own planes of rotation, will exert a constant and linear force via gyroscopic precession.
50.
The plane of rotation is the plane containing "'m "'and "'n "', which must be distinct otherwise the reflections are the same and no rotation takes place.
