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    <dy 090920 ok>
    See operating CAD ..

    CAD-functions for modifying geometry

     CUT, Trim
     Intersect, intersection curves (INT)
     Transform (move, rotate) (TRA)
     Project
     Mirror

    CUT (trim) obj          CUT
     Trim / limit linear elements (lines, curves).
       (Separate with one or two cutting elements).

     Caution: currently only for curves, not yet for surfaces/solids and CCVs.

    CUT Obj CuttingElement (CuttingElement2) (Variant) (REVerse)

    Obj: this element will be changed (trimmed).
        If it is already trimmed, also its parent-object will be displayed
        in the selection-list.

    Cutting element: the object will be separated with this element
        one (optionally two) elements, e.g. points.
        For curves, parameter values (0-1) can be used.
        Two cutting elements: result is the mid-part.

    Variant: which of the resulting elements will be retained
        Other/s will be discarded
        Change with the Page Up/Page Down keys
        Default or “1” saves the first resulting object

    REVerse: Reverse the direction of the resulting curve.

     Example:
     L20 = P(-60 30 0) P(20 70 0)
     C20 = P(-14 40 0) VAL(32) DZ
     S20 = CUT C20 L20 L20
     # Circle C20 is limited at both ends (trimmed).

     # Parameter values as cutting element:
     S21 = CUT S20 0.33 0.66

    INT (intersect) obj     INT
    Create intersection points / intersection curves.

    resulting_object = INT Obj1 Obj2 [version] [POL]

     Obj1: object 1
        Curve or surface. Continue with Tab-key

     Obj1: object 2
        Curve or surface
        For curves, parameter values (0-1) can be used.

     Version: Define which element of the result is to be saved.
        Other/s are discarded.
        Select using the PageUp/PageDown keys.
        Default or "1": Saves the first result object (point or curve)
         "2" would select the second one ..

     POL: Only for curves as a result
        output is polygon or spline (default is spline)

     Example:
     P20 = P(-62.5 -63.7 0)
     S20 = CCV P20 P(-20 -70) P(-40 -15) P20
     A20 = S20
     #
     P21 = P(-60 -110 20)
     P22 = P(S20 MOD (2) 1)
     S21 = POL P21 P20 P22 P21
     A21 = S21
     #
     R20 = X(-35)
     #
     # A group of Areas:
     S22 = INT U(A20 A21) R20 POL

    # point from intersection line x surface:
    P1=INT L1 A1

    # curve from intersection curve X surface:
    # (curve: circle, ellipsis, B-Spline) not yet implemented

    # curve from intersection surface x surface:
    S1=INT A1 A2

    P4=INT C1 C2 MOD(2)   # intersection-point nr. 2 from intersection C1 - C2

    TRAnslate obj (VC)      TRA
     Translate an object

     Result = Object TRA Obj_to_move vector [length]
       TRA Obj_to_move: this object is moved
       Vector
       length       vectorlength (optional)
       replace-duplicat   if parentobject should be kept or hidden; default = keep.
                          press Page-down to keep ("REPL").

     A new, translated object (a copy) will be created.
     Permanent translation of the selected object: use "Group/move objects of group"

    # Objects to move a vector (REV: opposite direction).
    # Obj = vec TRA obj/traVC [REV]
    P20 = P(100,0,0)
    P21 = TRA P20 D(0 0 100)

    # "TRafo transl"  (define Transformation)
    T20 = D(10 10 10)
    # "TRAnslate obj (VC)"  and keep parent
    P22 = TRA P21 T20
    # TraVC (T20 in the example): see Transformation
    # replace parent
    P23=TRA P22 D(0 0 100) REPL

    TRAnslate obj (PLN)     TRA
     Move an object to a different reference system.
       Each layer can be used as a reference system.

     Result object = TRA object reference system [REV]
       Reference System
       REV: Move an object from a reference system back into the main location.

     Example:
     R20 = P(100 100 25) D (-1 0 2)
     L20 = P(100 100 25) P (100 120 25)
     # Move line L20 to the Refsys R20
     L21 = TRA L20 R20
     # Move a line back into the main location.
     L22 = TRA L21 R20 REV

    TRAnsform obj (Tra)     TRA
     Transformation of objects (move, rotate).
     The transformation must be defined previously!

     Result object = TRA object transformation
       Transformation: Select example using the PageUp/PageDown keys

     Translation:
     P20 = P(100 0 0)
     Translation # Z in the direction of 100 mm
     T20 = DZ VAL(100)
     P21 = TRA P20 T20

     Rotation:
     P20 = P(100 0 0)
     # Define a 30-Grad-Rotation to line L20
     L20 = P(50 0 0) P(50 0 10)
     T20 = ROT L20 ANG(90)
     # P20 rotate
     P21 = TRA P20 T20

      reverse curve      REV
    Reverse direction of curve.
    The resulting curve looks identical.

    Project obj        PRJ
    Project points or linear elements (lines, circles, curves) onto
      an other linear element or on a surface.

    Resulting_object = PRJ object targetObject [direction] [solutionNr]

    object:          project this object -
    targetObject:    - onto this object.
    direction:       projection-direction, a vector; none: normal to targetObject.
    solutionNr:      1-n, PgUp/PgDown keys.

     Example:
     P21=PRJ P20 R20
     # Point P20 will be projected on the plane R20; direction is perpendicular.

     S20 = PRJ S20 R20 D20
     # Curve S20 will be projected in direction of D20 on the plane R20

      Parallel obj (offset)       PARL
    Create a parallel object.
    Until now only for planar curves.
      basic obj                 select curve
      offset dist               keyIn distance
      [basic plane/surf]        optional - define plane of curve
      [nr of contour; 0=all]    if result has more than one curves:
                                no input or 1 gives first curve ..
      [rounded/edges]           no rounding of corners; until now only for circle, line

    Example:
    S23=PARL S21 VAL(3)
    # creates curve S21 parallel to curve S20, distance is 3.

      Mirror about line       MIR
    Reflect objects across a line
      Currently, only for linear elements, plane, not surfaces.

    resulting object = MIR object line

    Example:
    S20=MIR S20 L20
    # Curve S20 is mirrored across line L20

    Mirror obj (Plane)      MIR
     Reflect objects across a plane
       Currently, only for linear elements, not surfaces

     Result object = MIR object plane

     Example:
     S20 = MIR S20 R20
     # Curve S20 is mirrored across plane R20

    ISOparametric Curve from Surf         ISO
     Extracts an isoparametric curve from a surface.
      Currently only B-Spline surface. Entering point or parameter value has not yet been implemented

     Input:
     Surface
     Parameter value (0-1)
     Default: lengthwise Direction; "CX" defines lateral direction.
     (Modifier CX = across; Default = along)

     S = parameter surf ISO/point (direction U/V)

     Example:
     # Cross-section curve in the middle of the surface A20:
     S20 = ISO A20 .5 CX