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16 Automatic Geometric Calculations
123
Fig. 16.3.1-1
Fig. 16.3.1-2
16.3.1 Linear-linear Intersection
If the second one of two successive
linear interpolation blocks is specified the
way that its both end point coordinates in
the selected plane and also its angle is
specified, the control calculates the
intersection of the straight lines referred
to in the first block and the straight line
specified in the second one. The straight
line specified in the second block is
determined over. The calculated
intersection is the end point of the first
block, as well as the start point of the
second one.
G17 G41 (G42)
N1 G1 ,A1 or
X1 Y1
N2 G1G90 X2 Y2 ,A2
G18 G41 (G42)
N1 G1 ,A1 or
X1 Z1
N2 G1G90 X2 Z2 ,A2
G19 G41 (G42)
N1 G1 ,A1 or
Y1 Z1
N2 G1G90 Y2 Z2 ,A2
The intersection is always calculated in the plane selected by G17, G18, G19. The first block (N1)
is specified either by means of its angle (,A1), in this case a straight line is drawn from the start point
to the intersection point in the appropriate angle, or with an optional position other than the start
point of the straight line (X1, Y1; X1, Z1; or Y1, Z1). In this case the intersection is calculated with
the straight line lying on both points. Coordinates given in the second block (N2) are always
interpreted by the control as absolute data (G90).
For example:
G17 G90 G41 D0...
G0 X90 Y10
N10 G1 ,A150
N20 X10 Y20 ,A225
G0 X0 Y20
...
Block N10 can also be given with the
coordinates of a point of the straight line:
G17 G90 G41 D0...
G0 X90 Y10
N10 G1 X50 Y33.094
N20 X10 Y20 ,A225
G0 X0 Y20
...
Note, that in this case coordinate X, Y (X50 Y33.094) given in block N10 is not acknowledged by