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<PRE>&lt;dy 090920 one problem at ***, rest ok&gt;


<A HREF="CAD_Base_en.htm">See operating CAD manual</A>


Points

Points use the shortcut letter P (&quot;Point&quot;).

See also:
Codes points  
Points from copy function

PT cartes 
Creating points
  Absolute:
   - key coordinates into field BasePoint (eg &quot;10,10,0&quot;)
   - indicate position (left/inner 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) 

<A NAME="F1"></A>
Polar PT
 Create polar or relative points.

 P# = Base Point, Rotation Angle (or 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 

<A NAME="F2"></A>
PT Translate
 Translate a point
 P# = Base Point, Direction, [Distance,] [Normal Distance] 
   Base Point 
   Direction 
   Normal Distance - normal to the direction in the construction plane.

 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 

 Project from a point a certain distance along a line. *** Google “a line from one point away along a line to join forces with a certain distance”
 P11 = P1, D(L1), distance.

 Point on a certain distance from P1 to P2.
 The direction is determined by the angle of the line P1 to P2.
 P3 = P1, D(P1, P2), distance 

 P2 = P1, D(L1), distance, normal distance 
 Project from 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. 

<A NAME="F3"></A>
PT Rotate
 Turning on a Point (center, the starting position, angle) 
 Example:
 P3 = P1, P2, ANG(180) 
 # P2 is turned 180 degrees around P1.
s
<A NAME="F4"></A>
PT Centerpt CIR / ELL 
 Create a point at the center of a circle/an ellipse.

 # The center of an arc
 P6 = C1

<A NAME="F5"></A>
PT Centerpt Plane 
 Create a point at the center of a plane


<A NAME="F6"></A>
PT Midpoint PT-PT (Point - Center of 2 Points)
 Create a pint at the center of 2 points.

 P3 = P1, P2 

  <h2>PT Mid/Cornerpoint  PT - PT</h2>
Den Mittelpunkt oder Eckpunkt von 2 Punkten erzeugen.
Zusätzliche Angabe einer Richtung (zB "DX"):
den Punkt-1 auf eine Linie Punkt-2 - Vektor projizieren. 
# Mittelpunkt (kein Vektor)
P3=P1,P2
# Cornerpoint
P3=P(0 0 0) P(100 100 0) DX


<A NAME="F7"></A>
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


Proj PT-&gt; LN / CIR / CRV / PLN
Create a point by projecting off an object
 # 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)

 Point # normal to circle (the circle is projected).
 # The standard solution is the further 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 -&gt; PLN
 Projects a point along a vector onto a plane. 
 Resulting point = Point Vector 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.
 For surfaces, two parameters are required (U and V), along and across the direction.

 Example:
 # Center of a line:
 P23 = C20 VAL(.5)

# Parametric point on RuledSurface, RevolvedSurface or B-SplineSurface:
# point from surface, U-value, V-value; range is 0 - 1 !
P1=A1 0.5 0.5


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