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What's the difference between measuring coordinate system and mathematical coordinate system?
There are three differences between measuring plane rectangular coordinate system and mathematical plane rectangular coordinate system (Cartesian coordinate system):

1, the measuring coordinate system takes the north-south line passing through the origin, i.e. meridian, as the ordinate axis and the x axis; The east-west line passing through the origin is the abscissa axis and designated as the Y axis (the abscissa axis of the mathematical coordinate system is the X axis and the ordinate axis is the Y axis).

2. Measure the rectangular coordinate system with the positive direction of X axis as the starting edge, and rotate the azimuth φ and I, II, III and IV quadrants clockwise (the mathematical coordinate system takes the positive direction of X axis as the starting edge and rotates the inclination θ counterclockwise, which is divided into I, II, III and IV quadrants).

3. The coordinates (y, x) of the origin o of the measuring coordinate system are mostly two big positive integers, such as the coordinates of the origin of the local coordinate system in Beijing, y = 500,000m, x = 300,000m (the coordinates of the origin of mathematical coordinates, x=0, y=0).

Extended data:

1, z coordinate;

The movement direction of Z coordinate is determined by the spindle that transmits cutting power, that is, the coordinate axis parallel to the spindle axis is Z coordinate, and the positive direction of Z coordinate is the direction in which the tool leaves the workpiece.

2.x coordinate; ;

The x coordinate is parallel to the clamping plane of the workpiece, generally in the horizontal plane.

If the workpiece rotates, the direction in which the tool leaves the workpiece is the positive direction of the X coordinate.

3.y coordinate;

When the positive direction of X and Z coordinates is determined backward, the direction of Y coordinates can be determined according to the directions of X and Z coordinates and the right-hand rectangular coordinate system.

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