ElmoMC Multi-Axis Motion Controller-Maestro Motion Control - Manual (Page 71)

or
(X
3
– X
1
)/∆X
1
= (Y – Y
1
)/∆Y
1
(a3.10)
and finally for coordinate Y of intersection point the results are
Y = Y
1
+ k
1
(X
3
– X
1
)
(a3.11)
c) X
1
≠ X
2
, Y
1
≠ Y
2
, X
3
≠ X
4
, Y
3
= Y
4
To find an intersection point use
(X – X
1
)/∆X
1
= (Y – Y
1
)/∆Y
1
(a3.12)
Y = Y
3
(a3.13)
That produces
X = X
1
+ q
1
(Y
3
– Y
1
)
(a3.14)
d) X
1
= X
2
, Y
1
≠ Y
2
, X
3
≠ X
4
, Y
3
≠ Y
4
Two lines equations:
X = X
1
(a3.15)
(X – X
3
)/∆X
2
= (Y – Y
3
)/∆Y
2
(a3.16)
For coordinate Y of intersection point we have
(X
1
– X
3
)/∆X
2
= (Y – Y
3
)/∆Y
2
=> Y = Y
3
+ k
2
(X
1
– X
3
)
(a3.17)
e) X
1
≠ X
2
, Y
1
= Y
2
, X
3
≠ X
4
, Y
3
≠ Y
4
Two lines equations:
Y = Y
1
(X – X
3
)/∆X
2
= (Y – Y
3
)/∆Y
2
For coordinate X of intersection point the results are
(X – X
3
)/∆X
2
= (Y
1
– Y
3
)/∆Y
2
=> X = X
3
+ q
2
(Y
1
– Y
3
) (a3.18)
f) X
1
= X
2
, Y
1
≠ Y
2
, X
3
≠ X
4
, Y
3
=Y
4
X = X
1
, Y = Y
3
g) X
1
≠ X
2
, Y
1
= Y
2
, X
3
= X
4
, Y
3
≠Y
4
X = X
3
, Y = Y
1
Maestro Software Manual Performance Considerations
MAN-MLT (Ver. 2.0)
C-2