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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


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)