354 lines
17 KiB
HTML
354 lines
17 KiB
HTML
<html><head><title>Macro Draft Circle 3 Points</title><meta http-equiv="Content-Type" content="text/html; charset=utf-8"><link type='text/css' href='wiki.css' rel='stylesheet'></head><body><h1>Macro Draft Circle 3 Points</h1></div>
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<div id="mw-content-text" lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-parser-output"><table class="fcinfobox wikitable ct" width="100%" style="float: right; width: 230px; margin-left: 10px;">
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<tr>
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<td class="ctTitle">
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<h3><span class="mw-headline" id="Macro_Draft_Circle_3_Points"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points.png" class="image"><img alt="Macro Draft Circle 3 Points.png" src="32px-Macro_Draft_Circle_3_Points.png" width="32" height="32" srcset="/wiki/images/thumb/1/10/Macro_Draft_Circle_3_Points.png/48px-Macro_Draft_Circle_3_Points.png 1.5x, /wiki/images/1/10/Macro_Draft_Circle_3_Points.png 2x" /></a> Macro Draft Circle 3 Points</span></h3>
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</td></tr>
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<tr>
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<th class="ctOdd">Description
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</th></tr>
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<tr>
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<td class="ctEven left macro-description">Creates a circle from 3 selected points.
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</td></tr>
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<tr>
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<th class="ctOdd">Author
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</th></tr>
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<tr>
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<td class="ctEven macro-author"><a href="https://www.freecadweb.org/wiki/index.php?title=User:Mario52" title="User:Mario52">Mario52</a>
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</td></tr>
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<tr>
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<th class="ctOdd">Links
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</th></tr>
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<tr>
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<td class="ctEven"><a href="Macros_recipes.html" title="Macros recipes">Macros recipes</a><br /><a href="How_to_install_macros.html" title="How to install macros">How to install macros</a><br /><a href="Customize_Toolbars.html" title="Customize Toolbars">How to customize toolbars</a>
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</td></tr>
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<tr>
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<th class="ctOdd">Version
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</th></tr>
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<tr>
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<td class="ctEven macro-version">01.00
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</td></tr>
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<tr>
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<th class="ctOdd">Date last modification
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</th></tr>
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<tr>
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<td class="ctEven macro-date">2013-03-11
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</td></tr>
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<tr>
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<th class="ctOdd">
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</th></tr>
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<tr>
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<td class="ctToc"><br /><div id="toc" class="toc"><div class="toctitle"><h2>Contents</h2></div>
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<ul>
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<li class="toclevel-1"><a href="#Macro_Draft_Circle_3_Points"><span class="tocnumber">1</span> <span class="toctext">Macro Draft Circle 3 Points</span></a></li>
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<li class="toclevel-1 tocsection-1"><a href="#Description"><span class="tocnumber">2</span> <span class="toctext">Description</span></a></li>
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<li class="toclevel-1 tocsection-2"><a href="#Use"><span class="tocnumber">3</span> <span class="toctext">Use</span></a></li>
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<li class="toclevel-1 tocsection-3"><a href="#Options"><span class="tocnumber">4</span> <span class="toctext">Options</span></a></li>
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<li class="toclevel-1 tocsection-4"><a href="#Script"><span class="tocnumber">5</span> <span class="toctext">Script</span></a></li>
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<li class="toclevel-1 tocsection-5"><a href="#Improved_version"><span class="tocnumber">6</span> <span class="toctext">Improved version</span></a></li>
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<li class="toclevel-1 tocsection-6"><a href="#Anaglyphe"><span class="tocnumber">7</span> <span class="toctext">Anaglyphe</span></a></li>
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<li class="toclevel-1 tocsection-7"><a href="#Credits"><span class="tocnumber">8</span> <span class="toctext">Credits</span></a></li>
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</ul>
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</div>
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</td></tr>
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</table>
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<p><br />
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</p>
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<h2><span class="mw-headline" id="Description">Description</span></h2>
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<p>This macro creates a circle on 3 selected points. The points can be objects such as cubes, cylinder, then selected coordinates will be the centre of these forms.
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</p><p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points01.png" class="image" title="Circle built on 3 selected points"><img alt="Circle built on 3 selected points" src="480px-Macro_Draft_Circle_3_Points01.png" width="480" height="324" srcset="/wiki/images/6/6d/Macro_Draft_Circle_3_Points01.png 1.5x" /></a>
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</p>
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<div style="clear:both"></div>
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<p><br />
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</p>
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<h2><span class="mw-headline" id="Use">Use</span></h2>
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<p>Select 3 points, or forms in the 3D view and run the macro.<br />
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If the shape is a line, the coordinate will be the center of the line.
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</p>
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<h2><span class="mw-headline" id="Options">Options</span></h2>
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<p>If the selected objects are on different planes, (xy <b>Z10</b>, xy <b>Z2</b>, xy <b>Z5</b>) the circle will be built on the map x,y <b>Z=0</b>.<br />
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If all of the selected objects have their equal Z coordinates (xy <b>Z5</b>, xy <b>Z5</b>, xy <b>Z5</b>), circle will be built to the plan x,y <b>Z=5</b>.
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</p>
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<h2><span class="mw-headline" id="Script">Script</span></h2>
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<p>Draft_Circle_3_Points.FCMacro
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</p>
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<div class="macro-code mw-highlight mw-content-ltr" dir="ltr"><pre># -*- coding: utf-8 -*-
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# créer un cercle à partir de 3 points sélectionnés sur le plan X,Y
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# 04/03/2013
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# la formule provient de
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# http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
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# lire la note dans le pdf, sur l'ordre de sélection des points,
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# si la formule renvoie une erreur (exemple les 3 points dans le même alignement)
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#
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import Draft, Part, FreeCAD, math, PartGui, FreeCADGui
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from math import sqrt, pi, sin, cos
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from FreeCAD import Base
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# prendre les objets sélectionnés
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sel = FreeCADGui.Selection.getSelection()
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i=0
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centreX=0
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centreY=0
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rayon=0
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# S'il y a 3 points sélectionnés alors..
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if len(sel)==3 :
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i=0
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ta=[0,0,0,0,0,0,0,0,0]
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for obj in sel:
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x=(obj.Shape.BoundBox.Center)
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ta[i+0]=(x.x)
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ta[i+1]=(x.y)
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ta[i+2]=(x.z)
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i=i+3
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# Affectation des variables
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x_point_1=ta[0]
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y_point_1=ta[1]
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z_point_1=ta[2]
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x_point_2=ta[3]
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y_point_2=ta[4]
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z_point_2=ta[5]
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x_point_3=ta[6]
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y_point_3=ta[7]
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z_point_3=ta[8]
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# Calcul des coordonnées du centre du cercle
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centreX =((x_point_3**2-x_point_2**2+y_point_3**2-y_point_2**2)/(2*(y_point_3-y_point_2))-(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1)))/((x_point_3-x_point_2)/(y_point_3-y_point_2)-(x_point_2-x_point_1)/(y_point_2-y_point_1))
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centreY =-(x_point_2-x_point_1)/(y_point_2-y_point_1)*centreX+(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1))
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rayon =sqrt((x_point_1-centreX)**2+(y_point_1-centreY)**2)
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# Définition de la coordonnée Z
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# Si toutes les coordonnées Z sont égales le centreZ s'aligne à la coordonnée Z
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if z_point_1==z_point_2 and z_point_2==z_point_3:
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centreZ=z_point_1
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else:
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# Si une coordonnée est différente alors Z=0
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centreZ=0
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# Création du cercle
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pl=FreeCAD.Placement()
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pl.Rotation.Q=(0.0,-0.0,-0.0,1.0)
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pl.Base=FreeCAD.Vector(centreX,centreY,centreZ)
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Draft.makeCircle((rayon),placement=pl,face=False,support=None)
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# Affiche le résultat dans la Vue rapport de FreeCAD
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FreeCAD.Console.PrintMessage("Coordonnée X : "+str(centreX)+"\r\n")
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FreeCAD.Console.PrintMessage("Coordonnée Y : "+str(centreY)+"\r\n")
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FreeCAD.Console.PrintMessage("Coordonnée Z : "+str(centreZ)+"\r\n")
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FreeCAD.Console.PrintMessage("Rayon : "+str(rayon )+"\r\n")
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else:
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# Si la condition n'est pas remplie, recommencer
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FreeCAD.Console.PrintError("Sélectionnez 3 points et recommencez\r\n")</pre></div>
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<h2><span class="mw-headline" id="Improved_version">Improved version</span></h2>
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<p>In addition to the previous features, this example is used to align an orthogonal circle on each shape in the selection, and the plan "'XY, YZ, XZ ' ' chosen.<br />
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The circle takes the color of the axis dedicated regardless of current color, and the center point of the circle is drawn (option O/N).
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</p>
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<center>
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<ul class="gallery mw-gallery-traditional">
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<li class="gallerybox" style="width: 235px"><div style="width: 235px">
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<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points02.png" class="image"><img alt="" src="133px-Macro_Draft_Circle_3_Points02.png" width="133" height="100" srcset="/wiki/images/thumb/e/e8/Macro_Draft_Circle_3_Points02.png/200px-Macro_Draft_Circle_3_Points02.png 1.5x, /wiki/images/thumb/e/e8/Macro_Draft_Circle_3_Points02.png/267px-Macro_Draft_Circle_3_Points02.png 2x" /></a></div></div>
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<div class="gallerytext">
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<p>Cercle circonscrit sur 3 formes,
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</p>
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</div>
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</div></li>
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<li class="gallerybox" style="width: 235px"><div style="width: 235px">
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<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points03.png" class="image"><img alt="" src="133px-Macro_Draft_Circle_3_Points03.png" width="133" height="100" srcset="/wiki/images/thumb/4/49/Macro_Draft_Circle_3_Points03.png/200px-Macro_Draft_Circle_3_Points03.png 1.5x, /wiki/images/thumb/4/49/Macro_Draft_Circle_3_Points03.png/267px-Macro_Draft_Circle_3_Points03.png 2x" /></a></div></div>
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<div class="gallerytext">
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<p>de manière orthogonale sur la forme choisie
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</p>
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</div>
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</div></li>
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<li class="gallerybox" style="width: 235px"><div style="width: 235px">
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<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points04.png" class="image"><img alt="Macro Draft Circle 3 Points04.png" src="133px-Macro_Draft_Circle_3_Points04.png" width="133" height="100" srcset="/wiki/images/thumb/e/eb/Macro_Draft_Circle_3_Points04.png/200px-Macro_Draft_Circle_3_Points04.png 1.5x, /wiki/images/thumb/e/eb/Macro_Draft_Circle_3_Points04.png/267px-Macro_Draft_Circle_3_Points04.png 2x" /></a></div></div>
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<div class="gallerytext">
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</div>
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</div></li>
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<li class="gallerybox" style="width: 235px"><div style="width: 235px">
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<div class="thumb" style="width: 230px;"><div style="margin:15px auto;"><a href="https://www.freecadweb.org/wiki/index.php?title=File:Macro_Draft_Circle_3_Points05.png" class="image"><img alt="Macro Draft Circle 3 Points05.png" src="133px-Macro_Draft_Circle_3_Points05.png" width="133" height="100" srcset="/wiki/images/thumb/7/7e/Macro_Draft_Circle_3_Points05.png/200px-Macro_Draft_Circle_3_Points05.png 1.5x, /wiki/images/thumb/7/7e/Macro_Draft_Circle_3_Points05.png/267px-Macro_Draft_Circle_3_Points05.png 2x" /></a></div></div>
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<div class="gallerytext">
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</div>
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</div></li>
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</ul>
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</center>
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<div style="clear:both"></div>
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<p>The settings to change.
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</p>
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<div class="mw-highlight mw-content-ltr" dir="ltr"><pre># Change the values here below
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# mode by default vueChoix = 0 and alignerSur = 0
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vueChoix=0# choice of the top view = 1 XY, view Front = 2 ZX, Right view = 3 ZY
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alignerSur=0# Aligns the circle shaped the choice (1,2 or 3) or Z = 0
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afficherPoint=1# Displays the center point of the circle</pre></div>
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<div class="mw-highlight mw-content-ltr" dir="ltr"><pre># -*- coding: utf-8 -*-
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# créer un cercle à partir de 3 points séléctionnés
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# avec comme options le cercle peut être construit sur un plans au choix
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# à la coordonnée d'une des trois formes sélectionnées au choix
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# et création du point central O/N
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# 04/03/2013
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# la formule provient de
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# http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
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# lire la note dans le pdf, sur l'ordre de sélection des points,
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# si la formule renvoie une erreur (exemple les 3 points dans le même alignement)
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#
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import Draft, Part, FreeCAD, math, PartGui, FreeCADGui
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from math import sqrt, pi, sin, cos
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from FreeCAD import Base
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from PyQt4 import QtCore, QtGui
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def errorDialog(msg):
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# Create a simple dialog QMessageBox
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# The first argument indicates the icon used: one of QtGui.QMessageBox.{NoIcon, Information, Warning, Critical, Question}
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diag = QtGui.QMessageBox(QtGui.QMessageBox.Critical,u"Error Message",msg)
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diag.setWindowModality(QtCore.Qt.ApplicationModal)
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diag.exec_()
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def affiche(x,y,z,rayon,r,v,b,afficherPoint):
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pl.Base=FreeCAD.Vector(x,y,z)
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Draft.makeCircle((rayon),placement=pl,face=False,support=None)
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FreeCADGui.activeDocument().activeObject().LineColor = (r,v,b)
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if afficherPoint==1:
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Draft.makePoint(x,y,z)
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diag = QtGui.QMessageBox(QtGui.QMessageBox.Information,u"Coordinates",u"Coordinates X : "+str(x)+"\r\n"+u"Coordinates Y : "+str(y)+"\n"+u"Coordinates Z : "+str(z)+"\nRayon\t : "+str(rayon))
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diag.setWindowModality(QtCore.Qt.ApplicationModal)
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diag.exec_()
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# prendre les objets selectionnes
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sel = FreeCADGui.Selection.getSelection()
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i=0
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centreX=0;centreY=0;rayon=0
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# S'il y a 3 points sélectionnés alors..
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if len(sel)==3 :
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i=0
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ta=[0,0,0,0,0,0,0,0,0]
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for obj in sel:
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x=(obj.Shape.BoundBox.Center)
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ta[i+0]=(x.x)
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ta[i+1]=(x.y)
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ta[i+2]=(x.z)
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i=i+3
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# Change the values here below
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# mode by default vueChoix = 0 and alignerSur = 0
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vueChoix=0# choice of the top view = 1 XY, view Front = 2 ZX, Right view = 3 ZY
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alignerSur=0# Aligns the circle shaped the choice (1,2 or 3) or Z = 0
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afficherPoint=1# Displays the center point of the circle
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# Affectation des variables
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if vueChoix==3:# View of right ZY (Red)
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z_point_1=ta[0]
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x_point_1=ta[1]
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y_point_1=ta[2]
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z_point_2=ta[3]
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x_point_2=ta[4]
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y_point_2=ta[5]
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z_point_3=ta[6]
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x_point_3=ta[7]
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y_point_3=ta[8]
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elif vueChoix==2:# Front view ZX (Green)
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y_point_1=ta[0]
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z_point_1=ta[1]
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x_point_1=ta[2]
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y_point_2=ta[3]
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z_point_2=ta[4]
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x_point_2=ta[5]
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y_point_3=ta[6]
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z_point_3=ta[7]
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x_point_3=ta[8]
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else:# Top view XY (blue)
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x_point_1=ta[0]
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y_point_1=ta[1]
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z_point_1=ta[2]
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x_point_2=ta[3]
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y_point_2=ta[4]
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z_point_2=ta[5]
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x_point_3=ta[6]
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y_point_3=ta[7]
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z_point_3=ta[8]
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# Calculation of coordinates of the center of the circle
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try:
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centreX =((x_point_3**2-x_point_2**2+y_point_3**2-y_point_2**2)/(2*(y_point_3-y_point_2))-(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1)))/((x_point_3-x_point_2)/(y_point_3-y_point_2)-(x_point_2-x_point_1)/(y_point_2-y_point_1))
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centreY =-(x_point_2-x_point_1)/(y_point_2-y_point_1)*centreX+(x_point_2**2-x_point_1**2+y_point_2**2-y_point_1**2)/(2*(y_point_2-y_point_1))
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rayon =sqrt((x_point_1-centreX)**2+(y_point_1-centreY)**2)
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except:
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errorDialog(u"Impossible calculation too aligned elements")
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else:
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#finally: sera TOUJOURS exécuté
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# Definition of the coordinate Z
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centreZ=0
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# Création du cercle
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pl=FreeCAD.Placement()
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if vueChoix==1:# Plan XY Dessus
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pl.Rotation.Q=(0,0,0,1.0)
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if alignerSur==1:
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affiche(centreX,centreY,z_point_1,rayon,0.0,0.0,1.0,afficherPoint)
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elif alignerSur==2:
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affiche(centreX,centreY,z_point_2,rayon,0.0,0.0,1.0,afficherPoint)
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elif alignerSur==3:
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affiche(centreX,centreY,z_point_3,rayon,0.0,0.0,1.0,afficherPoint)
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elif vueChoix==2: # Plan XZ Face
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pl.Rotation.Q=(1,0,0,1.0)
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if alignerSur==1:
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affiche(centreY,z_point_1,centreX,rayon,0.0,1.0,0.0,afficherPoint)
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elif alignerSur==2:
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affiche(centreY,z_point_2,centreX,rayon,0.0,1.0,0.0,afficherPoint)
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elif alignerSur==3:
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affiche(centreY,z_point_3,centreX,rayon,0.0,1.0,0.0,afficherPoint)
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elif vueChoix==3: # Plan YZ Droite
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pl.Rotation.Q=(0,1,0,1.0)
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if alignerSur==1:
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affiche(z_point_1,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
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elif alignerSur==2:
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affiche(z_point_2,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
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elif alignerSur==3:
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affiche(z_point_3,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint)
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else:# modifier pour avoir XYZ
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# si les coordonnées Z sont égales alors le cercle s'aligne à Z
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if z_point_1==z_point_2 and z_point_2==z_point_3:
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centreZ=z_point_1
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affiche(centreX,centreY,z_point_1,rayon,0.0,0.0,0.0,afficherPoint)
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else:
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# Si une coordonnée est différente alors Z=0
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affiche(centreX,centreY,0,rayon,0.0,0.0,0.0,afficherPoint)
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else:
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# Si la condition n'est pas remplie, recommencer
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errorDialog(u"Select 3 points and repeat")
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#FreeCAD.Console.PrintError("Select 3 points and repeatr\n")</pre></div>
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<h2><span class="mw-headline" id="Anaglyphe">Anaglyphe</span></h2>
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<p>Here an Anaglyph view that allows you to see two different positions of the view by using glasses with filters red and Cyan <a href="https://www.freecadweb.org/wiki/index.php?title=File:Anaglyph_Tango.png" class="image"><img alt="Anaglyph Tango.png" src="24px-Anaglyph_Tango.png" width="24" height="24" srcset="/wiki/images/thumb/d/dd/Anaglyph_Tango.png/36px-Anaglyph_Tango.png 1.5x, /wiki/images/d/dd/Anaglyph_Tango.png 2x" /></a>.<br />
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Watch alternately with the left eye and the right eye to see the views separately.
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</p>
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<center>
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<p><a href="https://www.freecadweb.org/wiki/index.php?title=File:Cercle3Points2D_anaglyphe.png" class="image" title="Anaglyphe"><img alt="Anaglyphe" src="480px-Cercle3Points2D_anaglyphe.png" width="480" height="360" srcset="/wiki/images/d/d1/Cercle3Points2D_anaglyphe.png 1.5x" /></a>
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</p>
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</center>
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<div style="clear:both"></div>
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<p><br />
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</p>
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<h2><span class="mw-headline" id="Credits">Credits</span></h2>
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<p>The genesis of the macro <b>Draft Circle 3 Points</b> <a rel="nofollow" class="external text" href="http://forum.freecadweb.org/viewtopic.php?f=12&t=3696&sid=17886f953113e162dc9a4a843e1fce94">on the forum (PYTHON) coordonnées d'un point</a> helped flachyjoe thanks.<br />
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The formula comes from <a rel="nofollow" class="external text" href="http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf">cercle_3pts.pdf</a> and used with the kind permission of its author.
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</p>
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</div>
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</div>
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</div><div class="printfooter">
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Online version: "<a dir="ltr" href="https://www.freecadweb.org/wiki/index.php?title=Macro_Draft_Circle_3_Points&oldid=240367">http://www.freecadweb.org/wiki/index.php?title=Macro_Draft_Circle_3_Points&oldid=240367</a>"</div>
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<div id="catlinks" class="catlinks" data-mw="interface"></div><div class="visualClear"></div>
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</div>
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</div>
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<div id="mw-navigation">
|
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<h2>Navigation menu</h2>
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</body></html> |