See operating CAD
Vectors
Vectors define a direction and do not have a position.
Vectors use the identification letter D ("Direction").
There are the following standard vectors:
DX DY DZ
corresponding to the absolute directions
DIX DIY DIZ
corresponding to the reverse absolute directions
Display of Vectors:
- Vectors are only temporarly represented;
- standard-vectors are displayed in the lower right corner
- scan through defined vectors with the PageUp or PageDown button
- Standardized vectors (with length 1) as dashed line, otherwise as full line.
Define a vector:
- select a line or 2 points or a polygon
- select a circle or plane (normal-vector)
- select one of the standard-vectors from the vectors displayed in
the lower right corner.
- select a defined vector with the PageUp or PageDown button
- key in vector:
standard-vector DX or DY or DZ or DIX or DIY or DIZ
or defined-vector eg "D12"
or the x/y/z-coordinates; eg "D(0 0 1)" defines a Z-vector
or one or two angles; eg "D(ANG(45))" or "D(ANG(45) ANG(45))"
Example:
# Vector 1 = direction negative X-Achse
D1=DIX
# Vektor 2 = into direction x=1, y=1 in the XY-plane
D2=D(1 1 0)
Vectors from Copy function
Objectselections create this formats:
# Vector from Line:
D(L{nr})
Example:
L20=P(0 0 0) P(100 10 0)
D20=D(L20)
# Vector from Polygon segment
# or Vector from Line in CCV:
D({obj} MOD({SegmentNummer}))
# Vector on circle, B-Spline, clothoid, ellipse:
D#={C#|S#}) {lpar})
Example:
# Vector on circle:
C20=P(0 0 0) 12
D20=D(C20 0.5)
# Vector from Line in CCV
# or Vector from Polygonsegment in CCV:
P({obj} MOD({CCV-SegmentNummer}) MOD({SegmentNummer}))
Example:
# Vector from 1.Segment of CCV S26 (a Line):
P(S26 MOD(1))
VEC cartesian
Definition by entering the components of the axis (eg "0 0 1")
Or input of a standard vector (eg "DX")
Or a defined vector (eg "D20"; with Page Down key)
Or selection of a line or polygonsegment (or polygonsegment in CCV)
or plane or plain surface.
Optional:
Definition of vector length
Reverse Direction ("REV"; with Page Down key)
Standardvectors are DX DY DZ DIX DIY DIZ.
Examples:
D3 = D (0.7 0 0.7) 100
VEC polar (Angles Length)
By definition vector rotation angle [tilting angle] [vector length] [REVers]
Angle-Rot: rotation around the z-axis of the active construction-plane,
Angle-Tilt: rotation (tilt) around the new y-axis.
VEC objects
Vectors parallel or right-angled to existing objects.
Optional for all vectors:
Definition of vector length
Reverse Direction ("REV"; with Page Down key)
Parallel Vector:
Vector between 2 Points; Length optional.
Vector tangential to curve through point on this curve:
select circle or ellipse or B-Spline or Clothoid and -
point on this curve
Vector parallel to main-axis (U-direction):
(until now only for plane, B-SplineSurface)
Plane: result is the X-axis of the plane.
Surface: direction of the isoparametric U-curve
Use Modifier "PARL"
Vector parallel to V-axis (only for plane, surface)
(until now only for plane, B-SplineSurface)
Plane: result is the Y-axis of the plane.
Surface: direction of the isoparametric V-curve
Use Modifier "CX"
Normal Vector:
Normal vector for circle or plane or ellipse
Normal vector surface (until now only B-SplineSurface)
select surface and -
point on this surface
Normal vector to 2 line Segments(Vector or Line):
3 points
point, line
2 lines
The result (the normal vector) is the cross product of 2 input vectors.
Examples:
# Normal vector to circle
D20=C20
# Tangential vector to circle
D21=C20 P(C20 0.2)
# Vector between points P1, P2; length 100.
D5=P1 P2 VAL(100)
# Normal vector to line L20:
D20=L20 DZ
# X-axis-Vector of plane R20
D20=R20 PARL
The following commands must be produced manually:
Vector-Multiplication / Divison
D21 = D20 * 2
D22 = D20 / 2