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Points

Points use the shortcut letter P ("Point").

See also:
Codes points  
Points from copy function



PT cartes

Creating points Absolute: - key coordinates into field BasePoint (eg "10,10,0") - indicate position (left mouse button) - 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 DX/DY/DZ. Parametric: - selecting a curve or surface creates a parametric point 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 polar or relative points. P# = BasePoint, RotationAngle, [Tilt Angle,] Distance Base point Angle: The rotation axis is around the Z-axis of the active construction plane. The second rotation (tilt) is normal to the Z-axis. Example: P5 = P4, ANG(90), 25

PT translate

Translate a point P# = Base Point, Direction, [Distance,] [Normal Distance] Point: Basepoint Direction: Vector. [Dist.]: Distance - into direction "Direction" [Dis.Normal]: Distance - normal to "Direction" (in the construction plane). Examples: Translate point P1 relative to the vector D1. P2 = P1, D1 Translate point P1 in the direction of the vector D1 at a distance of 12. P2 = P1, D1, 12 Translate a point along a line given by 2 points (P1, P2) with a certain distance: Point: select P1. Direction: select P1 and P2. Dist: enter distance. P3=P1,D(P1,P2),distance. Create opposite point of 2 points: Point: select midpoint. Direction: select midpoint and endpoint, add "REV". P25=P20 D(P20 P21 REV) P2 = P1, D(L1), distance, normal distance Translate a point along a line. The distance is in the direction of the line. The normal direction is normal to the line used. P1 = P1, D(L1), VAL(100), VAL(50) P1 is on the extended line of L1, 100 mm in distance. It will move 50 mm in the direction of the normal extended from L1.

PT rotate

Rotate a Point (center, the starting position, angle) Example: P3 = P1, P2, ANG(180) # P2 is turned 180 degrees around P1. s

PT endpoints center focus ..

Create the characteristic points of an object. MOD(1) MOD(2) MOD(3) MOD(4) MOD(5) Line: startpoint, endpoint midpoint. Circle: startpoint, endpoint, centerpoint. Ellipse: startpoint, endpoint, centerpoint, focuspoint-1, focucpoint-2. Plane: origin. Polygon: all cornerpoints Spline: all controlpoints Beispiele: # center of circle: P6=C1 # endpoint of line: P5=L1 MOD(2)

PT Mid/Cornerpoint PT - PT

Create a midpoint or a cornerpoint. 2 points given: the midpoint is created. 2 points and a vector (eg "DX") given: point1 is projected onto the line point2 - vector. # Midpoint (without vector) P3=P1,P2 # Cornerpoint P3=P(0 0 0) P(100 100 0) DX

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. Parameters field is 0 to 1; 0.5 defines the middle. Surfaces (RuledSurface, RevolvedSurface or B-SplineSurface): Two parameters are required (U and V), along and across the direction. Example: # Center of a line: P23 = C20 VAL(.5) # Point on surface, U-value, V-value; range is 0 - 1 ! P1=A1 0.5 0.5