MTCoordinates

Class MTCoordinates inherits from class MTVector (4.1). It represents the special case of a three dimensional vector, though it is of four dimensions and can be multiplied with a 4x4 matrix (4.3). In addition to the methods inherited from class MTVetor it implements:

* calculations
-(double)distanceTo: (MTCoordinates*)c2	calculates the distance between two coordinates
-(double)distanceToLineFrom: (MTCoordinates*)v2 to: (MTCoordinates*)v3	calculates the distance from this point to the line given by (v2,v3)
-(double)x	returns X coordinate
-(double)y	returns Y coordinate
-(double)z	returns Z coordinate
-(id)setX:(double)newx Y:(double)newy Z:(double)newz	sets new coordinates
-(id)transformBy: (MTMatrix53*)m	rotates and translates the vector by the matrix (4.4)
-(id)rotateBy:(MTMatrix44*)m	rotates the vector by the matrix (4.3)
-(id)translateBy: (MTVector*)v	adds the vector (4.1) to this coordinates
-(MTMatrix44*)alignToZaxis	returns the rotation (4.3) for aligning these coordinates along the Z-axis
* creation
+(MTCoordinates*)coordsFromCoordinates: (MTCoordinates*)c	makes a copy of coordinates
+(MTCoordinates*)coordsFromVector: (MTVector*)v	makes a copy of a vector (4.1)
+(MTCoordinates*)coordsWithX:(double)x Y:(double)y Z:(double)z	create new with explicit coordinates
+(MTCoordinates*)origin	create new at (0,0,0)