<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML> <HEAD> <META HTTP-EQUIV="CONTENT-TYPE" CONTENT="text/html; charset=utf-8"> <TITLE></TITLE> <meta name="generator" content="Bluefish 1.0.7"> <META NAME="CREATED" CONTENT="0;0"> <META NAME="CHANGEDBY" CONTENT="David Young"> <META NAME="CHANGED" CONTENT="20090920;8273900"> </HEAD> <BODY LANG="en-US" DIR="LTR"> <PRE> <A HREF="CAD_using_en.htm">See operating CAD</A> <h2>CAD functions for planes and axis systems:</h2> Planes and axis systems use the shortcut letter R. Pre-defined planes are: RZ Basis level XY (Z=0) RY Level XZ (Y=0) RX Level YZ (X=0) ____________________________________________________________________________ <p><A NAME="F0"></A></p> <h2>PLN Z-Axis [X-Axis]</h2> Plane from Z-Axis (normal vector), optional origin, X-Axis or point on x-axis, offset along z-axis. [Origin] optional; Z-Axis enter DX or DY or DZ or a vektor; (the Z-axis of the new plane) [X-Axis] optional: the new X-axis; DX or DY or DZ or a defined vector or a point on the new x-axis. [offset Z-axis] optional: distance of the new origin along the new z-axis Examples: # Plane normal to the Z-axis, with distance. R1=PERP DZ 100 # Plane normal to the Z-axis, through point. R2=PERP P(0 0 100) DZ # Plane in point p1; normal to the absolute X-axis; # new X-axis direction of absolute Z-axis; # distance 10 into direction of new Z-axis. P1=P(100 0 0) R3=PERP P1 DX DZ 50 # Level from origin, normal vector and a point on the x-axis of the new plane R11 = PERP P(100 100 100) D(0 0 1) P(101 100 100) R12=PERP P(100 150 0) D(ANG(90) ANG(45)) <!-- Define a normal plane on the X-axis by entering a point or the X distance. A plane is defined parallel to the YZ plane. The new X-axis corresponds to the Y-axis, The new Y-axis corresponds to the Z-axis. The new Z-axis corresponds to the X-axis. The plane is displayed at the X-axis (Y=0, Z=0). Example: R1=DX 100 R2=DX P(100 0 0) R2=X(100) <p><A NAME="F1"></A></p> <h2>PLN Y-normal</h2> Define a normal plane on the Y-axis by entering a point or the Y distance. A plane is defined parallel to the XZ plane. The new X-axis corresponds to the X-axis, The new Y-axis corresponds to the Z-axis. The new Z-axis corresponds to the main Y-axis. The plane is displayed at the Y-axis (X=0, Z=0). Example: R1=DY 100 R2=DY P(0 100 0) R5=Y(100) <p><A NAME="F2"></A></p> <h2>PLN Z-normal</h2> Define a normal plane on the Z-axis by entering a point or the Z distance. A plane is defined parallel to the XY plane, All axis directions are the same as the main axis system RZ. The distance is on the Z-axis. The plane is displayed at the Z-axis (X=0, Y=0). Example: R1=DZ 100 R2=DZ P(0 0 100) R5=Z(100) --> <p><A NAME="F1"></A></p> <h2>PLN X-Axis [Y-Axis]</h2> Plane from X-Axis, optional origin, Y-Axis or point on y-axis, offset along z-axis. [Origin] optional; X-Axis <a href="CAD_Base_en.htm#D">Vector</a> or point on the new X-axis [Y-Axis] optional: <a href="CAD_Base_en.htm#D">Vector</a> or point on the new y-axis [offset Z-axis] optional: distance of the new origin along the new z-axis Examples: # origin, X-axis, Y-axis. R12=P(100 100 100) D(1 0 0) D(0 1 0) # Level/reference system through three 3D points; # po = the origin, # px = a point on the x-axis of the new plane # pt = a point in the plane (must not be on the line po-px). R4 = P(100 100 100) P(101,100,100) P(100,101,100) R20=P(100 100 25) DX DY R10 = P(100 100 100) DZ R11 = P(100 100 100) D(0 0 1) P (101 100 100) R13 = P(100 100 100) L(P(0 0 0) P(0 0 100)) <!-- <p><A NAME="F5"></A> <h2>PLN PT X-Axis VEC_in_Plane</h2> Plane of origin X-Axis Vector Vector_in_the_plane X-Axis Vector: The direction of the X-axis of the new plane; Vector_in_the_plane: Another vector in the new plane. Example: R12 = P(100 100 100) D(1 0 0) D(0 1 0) R20 = P(100 100 25) DX DY <p><A NAME="F6"></A></p> <h2>PLN PT PT PT</h2> Plane/reference system by the three 3D points po px pt; Po = the origin point, Px = a point on the x-axis of the new plane, Pt = a point in the plane (which must not be in line with po-px) Example: R4 = P(100 100 100) P(101 100 100) P(100 101 100) --> <p><A NAME="F2"></A></p> <h2>PLN PT Plane</h2> Moving of a plane/reference system (the axes will remain), optional the new origin, offset along z-axis. [Origin] optional; the new orgin Refsys plane to be moved [offset Z-axis] optional: distance of the new origin along the z-axis Example: R21=P(100 100 50) R20 R21=R20 10 ____________________________________________________________________________ <h2>MAN functions for planes and axis systems (further functions):</h2> Plane parallel to the XY plane, all axis directions are the same as the main axis. The distance on the Z-axis is specified. R = Z (Z_distance) R5 = Z(100) Plane parallel to the YZ plane, and the new X-axis corresponds to the 3D Y-axis, the new Y-axis corresponds to the 3D Z-axis. The new Z-axis is the axis-X. R = X(X_distance) Plane parallel to the XZ plane, and the new X-axis corresponds to the 3D X-axis, The new Y-axis corresponds to the 3D Z-axis. The new Z-axis is the axis-Y. R = Y(Y_distance) ____________________________________________________________________________ </PRE> </BODY> </HTML>