CAD_PT_de.htm

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    See operating CAD manual

    Points

    Points use the identification letter P.

    See also: point codes
    See also: dynamic points

     PT cartes
    Create point from cartesian coordinates.

       [BasePoint]          optional - BasePoint
       [offset X-coord]     optional - set X-offset (value)
       [offset Y-coord]     optional - set Y-offset
       [offset Z-coord]     optional - set Z-offset

      BasePoint:
       - key coordinates into field BasePoint (eg "10,10,0")
       - or indicate position (left mouse button)
       - or select object; the point and the parametric value for the selected
           position is generated

      Relative:
       - select the base point and put the values for the offset distance
           into the fields "offset -"

     Example :
     Specifying an absolute 2D point.
       P1 = P(10 20)
     Specifying an absolute 3D point.
       P2 = P(10 20 30)
     Specifying a relative point (at a distance 10,10 from P2)
       P3 = P2 X(10) Y(10)

      PT polar
     Create points from polar coordinates

       BasePoint       BasePoint
       Angle-Rot.      rotate around the Z-axis of the active construction plane (angle);
       [Angle-Tilt]    rotate (tilt) normal to the Z-axis
       Dist.           distance from BasePoint

     Example:
     # P = BasePoint, RotationAngle, [Tilt Angle,] Distance
     P5 = P4 ANG(90) 25

      PT rotate-Z
     Rotate a Point around the Z-axis of the active construction plane

       CenterPoint     rotate around this point an d the Z-axis
       Point/Vector    set point to be rotated (select point or vector)
       Angle-Rot.      rotate around the Z-axis of the active construction plane (angle);
       [Angle-Tilt]    rotate (tilt) normal to the Z-axis
       [Dist.]         distance from BasePoint

     Example:
     P3 = P1 P2 ANG(180)
     # P2 is turned 180 degrees around P1.

      PT rotate-axis
     Rotate a Point around a axis

       Point to rotate set point point to be rotated
       Rot-Axis        select line as rotation-axis
       Angle           angle in degree

    Example:
    # P = point, rot-axis, angle
    P21=P20 L20 ANG(30)    # rotate P20 30 degrees around line L20

      PT translate
     Translate (move) point with a vector

       Point            point to move
       Direction-VEC    set direction/distance (vector)
       [Dist.]          length
       [Dist.Normal]    Distance - normal to "Direction" (in the construction plane)

    P = BasePoint, Direction, [Distance,] [Normal Distance]

    Examples:
     # Translate point P1 with vector D1.
     D1 = 100 0 0
     P2 = P1 D1

     # Translate point P1 in the direction of the vector D1 at a distance of 12.
     P2 = P1 D1 12

      PT endpoints center focus ..
    Get the characteristic point of an object.

       LN/CI/Curv    select curve
       Version       set which type of point

       PTS()     default        1         2          3           4
      Line:    startpoint, startpoint, endpoint  midpoint.
      Circle:  centerpoint,startpoint, endpoint, centerpoint.
      Ellipse: centerpoint,startpoint, endpoint, centerpoint, focuspt-1, focuspt-2.
      Clothoid startpoint, startpoint, endpoint
      Plane:   origin.
      Model:   origin.

    Beispiele:
    P20=C20             # center of circle: or
    P20=C20 PTS(1)
    P24=L21 PTS(2)      # endpoint of line, or:
    P24=P(L21 PTS(2))
    P7=S20 PTS(2)       # endpoint of curve S20
    P3=P1 P2            # midpoint
    P3=L1 PTS(3)        # midpoint

      PT control-points
    Get control-points of a polygon or spline

       LN/CI/Curv    select polygon or spline
       point-Nr      set point-number

    # get second point of polygon S20
    P20=S20 PTI(2)

      PT intersect  LN/CIR/CRV/PLN

     Create a point at the intersection of two objects

     # Intersection of a line with another line
     P4 = L1 L2

     # Intersection a circle and a line
     P5 = L1 C1 page

    # Intersection of 2 circles
    P6 = C1 C2 side

    # Intersection Line X Plane|RuledSurface
    P6=L10 R20
    P6=INT L10 R20

      PT Proj. PT -> LN/CIR/CRV/PLN
    Project a point perpendicular onto an object.
      Object: line,circle,polgon,ellipsis,b-spline,plane
      Version: (1-n, PageUp/dwn-key)

     # Project Point onto Line:
     P2 = P1, L1
     # Line defined by Point + Vector:
     P3=P2 P1 DX
     # projects P2 onto Line P1-DX (horizontal, unlimited, through P1)

     # project Point onto circle
     # The standard solution is the nearer point.
     P7 = P1 C1 MOD(2)
       MOD(2) defines the distant point.

     # Projection of the point P10 to the plane R1.
     P11 = P10 R1

     # Point on curve project.
     P11 = P1 S10 MOD(1)
       P1-P11 now form a normal to S10 at point P11.
       MOD (1) =-first solution.

      PT Proj. PT along VC -> PLN
     Projects a point along a vector onto a plane.

    Example:
    R20=P(50 0 0) D(1 0 1)
    D20=D(1 0 1)
    P28=P(10 0 0) D20 R20

      PT parametric on LN/CIR/CRV/SUR
    Create a point on Line / Circle / Curve / Surface using parameter/s.

       LN/CI/Curv/Surf        select line, cirle or curve (*1)
       Parameter along        key parameter (*2)
       [Parameter across]

    (*2)  Parameters field is 0 to 1; 0.5 defines the middle.

    (*1) Surfaces (RuledSurface, RevolvedSurface or B-SplineSurface):
         Two parameters are required (U and V), along and across the direction.
         Not all types of surfaces supported yet.

    Example:
    # midpoint of line:
    P23 = L20 VAL(.5)

    # Point on surface, U-value, V-value; range is 0 - 1 !
    P1=A1 0.5 0.5
    # or
    P1=A1 VAL(0.5) VAL(0.5)