The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Coordinate Systems 3D Cartesian Coordinate System  
See also: 2D Cartesian Coordinate System, Conversion between 3D Coordinate Systems, Cylindrical Coordinate System, Spherical Coordinate System  
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Threedimensional Cartesian Coordinate SystemThe threedimensional Cartesian coordinate is defined by three axes at right angles to each other, forming a three dimensional space. The three axes are labeled x (sometimes called abscissa), y (ordinate), and z (applicate). The point of intersection, where the axes meet, is called the origin, which is normally labeled O. To specify a particular point on a three dimensional coordinate system, you indicate the particular values on the axes in the form [x,y,z].
The distance between a point P and the origin O calculates from the Pythagorean theorem: The shortest distance between two points P1 and P2 calculates the same way as:


Home Coordinate Systems 3D Cartesian Coordinate System 