The following transaction script will find the point of intersection between two inputted lines.

transaction 1 modelChange 'Add point05'
{
    node User.Objects.point05 Bentley.GC.NodeTypes.Point
    {
        Function                  = function (CoordinateSystem cs, Line lineA, Line lineB)  
                                    {
                                    double fractionA; 
                                    double fractionB; 
                                    DPoint3d ptAD3d; 
                                    DPoint3d ptBD3d; 
                                    DSegment3d segmentA = lineA.DSegment3d; 
                                    DSegment3d segmentB = lineB.DSegment3d; 
                                    DSegment3d.IntersectXY(segmentA, segmentB, out fractionA, out ptAD3d, out fractionB, out ptBD3d); 
                                    Point pt = new Point(); 
                                    pt.FromDPoint3d(cs, ptBD3d); 
                                    return pt; 
                                    };
        FunctionArguments         = {baseCS,line01,line02};
    }
}

transaction 2 modelChange 'Add baseCS'
{
    node User.Objects.baseCS Bentley.GC.NodeTypes.CoordinateSystem
    {
        Technique                 = 'AtModelOrigin';
        GraphLocation             = <auto> {40.0, 40.0};
    }
}

transaction 3 modelChange 'Change baseCS'
{
    node User.Objects.baseCS Bentley.GC.NodeTypes.CoordinateSystem
    {
        Technique                 = 'AtModelOrigin';
        DGNModelName              = '3D Metric Design';
    }
}

transaction 4 modelChange 'Add point1'
{
    node User.Objects.point1 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByCartesianCoordinates';
        CoordinateSystem          = baseCS;
        XTranslation              = <free> 16.5627587014873;
        YTranslation              = <free> 14.9852807737223;
        ZTranslation              = <free> 0.0;
        GraphLocation             = <auto> {314.0, 40.0};
    }
}

transaction 5 modelChange 'Add line01, point2'
{
    node User.Objects.point2 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByCartesianCoordinates';
        CoordinateSystem          = baseCS;
        XTranslation              = <free> 16.0115651157508;
        YTranslation              = <free> 5.36800464915879;
        ZTranslation              = <free> 0.0;
        GraphLocation             = <auto> {314.0, 235.87};
    }
    node User.Objects.line01 Bentley.GC.NodeTypes.Line
    {
        Technique                 = 'ByPoints';
        StartPoint                = point1;
        EndPoint                  = point2;
        GraphLocation             = <auto> {588.0, 40.0};
    }
}

transaction 6 modelChange 'Add point3'
{
    node User.Objects.point3 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByCartesianCoordinates';
        CoordinateSystem          = baseCS;
        XTranslation              = <free> 14.1236161692132;
        YTranslation              = <free> 14.7622917509393;
        ZTranslation              = <free> 0.0;
        GraphLocation             = <auto> {314.0, 431.74};
    }
}

transaction 7 modelChange 'Add line02, point4'
{
    node User.Objects.point4 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByCartesianCoordinates';
        CoordinateSystem          = baseCS;
        XTranslation              = <free> 12.127021192625;
        YTranslation              = <free> 5.41209649285802;
        ZTranslation              = <free> 0.0;
        GraphLocation             = <auto> {314.0, 627.61};
    }
    node User.Objects.line02 Bentley.GC.NodeTypes.Line
    {
        Technique                 = 'ByPoints';
        StartPoint                = point3;
        EndPoint                  = point4;
        GraphLocation             = <auto> {588.0, 209.017};
    }
}

transaction 8 modelChange 'Change line02'
{
    node User.Objects.line02 Bentley.GC.NodeTypes.Line
    {
        GraphLocation             = {583.68, 190.297, 0.0, 129.017};
    }
}

transaction 9 modelChange 'Change line01'
{
    node User.Objects.line01 Bentley.GC.NodeTypes.Line
    {
        GraphLocation             = {595.2, 15.52, 0.0, 129.017};
    }
}

transaction 10 modelChange 'Change point05'
{
    node User.Objects.point05 Bentley.GC.NodeTypes.Point
    {
        GraphLocation             = {945.76, 64.48, 174.0, 0.0};
    }
}

transaction 11 modelChange 'Change line01'
{
    node User.Objects.line01 Bentley.GC.NodeTypes.Line
    {
        GraphLocation             = {566.4, 45.76, 0.0, 129.017};
    }
}

transaction 12 modelChange 'Change point05'
{
    node User.Objects.point05 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByFunction';
        lineA                     = line01;
    }
}

transaction 13 modelChange 'Change point05'
{
    node User.Objects.point05 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByFunction';
        lineB                     = line02;
    }
}

transaction 14 modelChange 'Change point05'
{
    node User.Objects.point05 Bentley.GC.NodeTypes.Point
    {
        Technique                 = 'ByFunction';
        cs                        = baseCS;
    }
}