(The formula is easier to obtain using the scalar product of vectors from the origin to the two points but students should not have learnt about that yet.) If the (latitude, longitude) of A and B are ([[phi].sub.A], [[lambda].sub.A]) and ([[phi].sub.B], [[lambda].sub.B]), their
Cartesian coordinates would be (cos))A-cos[[phi].sub.A] x cos[[phi].sub.A], x sin[[lambda].sub.A], sin[[phi].sub.A] and (cos[[phi].sub.B] x cos[[lambda].sub.B], cos[[phi].sub.B] x sin[[lambda].sub.B], sin[[phi].sub.B] after normalising the radius of the Earth to 1.
Among more detailed discussions are
Cartesian coordinates for particle motion in a plane, degrees of freedom and equations of kinematic constraints, velocity and acceleration relationships for two points in a rigid body, and compound-pendulum applications.
The evolution of the wave spectrum is described by the spectral action balance equation which for
Cartesian coordinates is (e.g., Holthuijsen 2007):
Table 1 highlights the
Cartesian coordinates of various (DCPT) soundings.
Where
Cartesian coordinates suggest a world of two dimensions-a globe that can be laid flat like paper-Smithson is interested in three-dimensional metaphors for actual places and has described some of his sculptures as "abstract containers" built to hold the raw materials of actual places he then transports into galleries.
Given the
cartesian coordinates of the robot positions [Poz.sub.i], (i=1/4): [x.sub.i], [y.sub.i], [z.sub.i], from Robot Controller, relative to the point [T.sub.5], the position vectors of the robots TCP, without the pin, are named [[bar.r].sub.i],i = 1/4.
Thus switching to the
Cartesian coordinates gives us to third order rational curve
For example, if a point a [member of] [S.sup.2] has spherical polar coordinates ([phi], [theta]), its
Cartesian coordinates are x([phi], [theta]) = (sin [theta] cos [phi], sin [theta] sin [phi], cos [theta]).
This means that the
Cartesian coordinates of the spatial facial differentiation space does actually represent the visual mechanisms of facial configuration detection, and, in particular, facial linear patterns.
An image is easily imported into GridPic and
Cartesian coordinates of points can be obtained automatically.