Macro Make Circle 3 Points

Description
This macro creates a circle circumscribed on 3 selected points, orthogonal manner or in 3D at the option space. Points can be objects such as cubes, cylinders,... then selected coordinates will be the centre of these forms.

Use
Select 3 points, or forms in the 3D view and run the macro.

If the shape is a line, the coordinate will be the center of the line.



Mode :
Defaut :
 * Mode by default, creates a circle on the three points or shapes in 3d space.
 * The order of selection of fear forms influencing the angle AXIS and reverse the inclination of the circle. In this case, reverse or change the order of selection of the shapes.
 * Coordinates X, Y, Z value 0 or alignment does not allow calculation, can return a division by zero error, and translated by The three points are aligned

Vue Face :
 * Creates the circle in the front views of the form chosen, 1, 2 or 3

Vue Dessus :
 * Creates the circle in the top on the form chosen view, 1, 2 or 3

Vue Droite :
 * Creates the circle in the view of right on the form chosen, 1, 2 or 3

Alignement sur :
Forme 1, 2, 3
 * Forms, in the order of their selections.

Afficher le centre :

 * If this box is checked, a point on the centre of the built circle will be created

Associer les couleurs

 * If this box is checked, the circle will take the colour of the relevant view,
 * View-Top (X,Y) = Blue(axe Z)
 * View-Front (Z,X) = Green(Axe Y)
 * View-Left (Z,Y) = Red(Axe X)

Script
The file should be copied to " C:/Program Files/FreeCAD0.13/ " If you want to put it in another directory, modify the path to line 53 path = FreeCAD.ConfigGet("AppHomePath") # chemin



The three icons must be in the same directory as the module.

To download them, resting your mouse over the icon and then right-click and  save image as...

The file,

Make_Circle_3_Points/fr.FCMacro
 * 1) -*- coding: utf-8 -*-
 * 2) Cercle sur 3 points.py
 * 3) create a circle from 3 points selected
 * 4) combination of the two programs 'create a circle from 3 points selected'
 * 5) with as options (orthogonal) circle can be built on a choice plans
 * 6) to coordinate one of the three selected choice shapes
 * 7) mode by default, creates the circle in 3D space
 * 8) the options create the circle of orthogonal way on the map and view the choice
 * 9) with the creation of a central color related to the axes Y/N Y/N
 * 10) 04/03/2013 # 24/03/2013 # by mario52
 * 11) the formula adapted (with permission of its author) by "mario52" for orthogonal circles comes from
 * 12) http://www-obs.univ-lyon1.fr/labo/fc/Ateliers_archives/ateliers_2005-06/cercle_3pts.pdf
 * 13) read the note in pdf, on the order of selection points,
 * 14) If the formula returns an error (example the 3 points in the same alignment)
 * 15) the formula adapted by "galou_breizh" for the cecle in 3D space comes from
 * 16) http://en.wikipedia.org/wiki/Circumscribed_circle
 * 17) the window is always visible and allows you to work on other programs
 * 18) as for example to select other items in FreeCAD

import Draft, Part, FreeCAD, math, PartGui, FreeCADGui, PyQt4 from math import sqrt, pi, sin, cos, asin from FreeCAD import Base from PyQt4 import QtCore, QtGui

# vueChoix = 0 et alignerSur = 0, mode par défaut global vueChoix		# choix de la vue Dessus=1 XY, vue Face=2 ZX, vue Droite=3 ZY (Orthogonal) global alignerSur  # aligne le cercle sur une forme au choix (1,2 ou 3) ou sur Z=0 (Orthogonal) global afficherPoint# affiche le point central du cercle global colorer    	# colorer suivant l'axe 1=Ok 0=Couleur courante uniquement Orthogonal ! vueChoix = 0 alignerSur = 0 afficherPoint = 1 colorer = 1

try: _fromUtf8 = QtCore.QString.fromUtf8 except AttributeError: def _fromUtf8(s): return s

try: _encoding = QtGui.QApplication.UnicodeUTF8 def _translate(context, text, disambig): return QtGui.QApplication.translate(context, text, disambig, _encoding) except AttributeError: def _translate(context, text, disambig): return QtGui.QApplication.translate(context, text, disambig)

class Ui_MainWindow(object):

def __init__(self, MainWindow): self.window = MainWindow path = FreeCAD.ConfigGet("AppHomePath") # chemin

MainWindow.setObjectName(_fromUtf8("MainWindow")) MainWindow.resize(490, 302) MainWindow.setWindowIcon(QtGui.QIcon(path+'View-C3P.png')) self.centralWidget = QtGui.QWidget(MainWindow) self.centralWidget.setObjectName(_fromUtf8("centralWidget"))

self.groupBox = QtGui.QGroupBox(self.centralWidget) self.groupBox.setGeometry(QtCore.QRect(20, 10, 130, 161)) self.groupBox.setObjectName(_fromUtf8("groupBox_1"))

self.radioButton_1 = QtGui.QRadioButton(self.groupBox) self.radioButton_1.setGeometry(QtCore.QRect(10, 30, 130, 20)) self.radioButton_1.setChecked(True) self.radioButton_1.setObjectName(_fromUtf8("radioButton_1")) self.radioButton_1.clicked.connect(self.on_radioButton_1_clicked) #connection radioButton_1 self.radioButton_1.setToolTip(_translate("MainWindow", "Cercle sur 3 points dans l'espace", None))

self.radioButton_2 = QtGui.QRadioButton(self.groupBox) self.radioButton_2.setGeometry(QtCore.QRect(10, 60, 130, 20)) self.radioButton_2.setObjectName(_fromUtf8("radioButton_2")) self.radioButton_2.clicked.connect(self.on_radioButton_2_clicked) #connection radioButton_2 self.radioButton_2.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de face", None)) #self.image_01 = "C:\Program Files\FreeCAD0.13\View-Front.png" self.image_01 = path+"View-Front.png" icon01 = QtGui.QIcon icon01.addPixmap(QtGui.QPixmap(self.image_01),QtGui.QIcon.Normal, QtGui.QIcon.Off) self.radioButton_2.setIcon(icon01)

self.radioButton_3 = QtGui.QRadioButton(self.groupBox) self.radioButton_3.setGeometry(QtCore.QRect(10, 90, 130, 20)) self.radioButton_3.setObjectName(_fromUtf8("radioButton_3")) self.radioButton_3.clicked.connect(self.on_radioButton_3_clicked) #connection radioButton_3 self.radioButton_3.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de dessus", None)) #self.image_02 = "C:\Program Files\FreeCAD0.13\View-Top.png" self.image_02 = path+"View-Top.png" icon02 = QtGui.QIcon icon02.addPixmap(QtGui.QPixmap(self.image_02),QtGui.QIcon.Normal, QtGui.QIcon.Off) self.radioButton_3.setIcon(icon02)

self.radioButton_4 = QtGui.QRadioButton(self.groupBox) self.radioButton_4.setGeometry(QtCore.QRect(10, 120, 130, 20)) self.radioButton_4.setObjectName(_fromUtf8("radioButton_4")) self.radioButton_4.clicked.connect(self.on_radioButton_4_clicked) #connection radioButton_4 self.radioButton_4.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la vue de droite", None)) #self.image_03 = "C:\Program Files\FreeCAD0.13\View-Left.png" self.image_03 = path+"View-Left.png" icon03 = QtGui.QIcon icon03.addPixmap(QtGui.QPixmap(self.image_03),QtGui.QIcon.Normal, QtGui.QIcon.Off) self.radioButton_4.setIcon(icon03)

self.groupBox_2 = QtGui.QGroupBox(self.centralWidget) self.groupBox_2.setGeometry(QtCore.QRect(170, 10, 120, 161)) self.groupBox_2.setObjectName(_fromUtf8("groupBox_2"))

self.radioButton_5 = QtGui.QRadioButton(self.groupBox_2) self.radioButton_5.setGeometry(QtCore.QRect(10, 30, 95, 20)) self.radioButton_5.setChecked(True) self.radioButton_5.setObjectName(_fromUtf8("radioButton_5")) self.radioButton_5.clicked.connect(self.on_radioButton_5_clicked) #connection radioButton_5 self.radioButton_5.setToolTip(_translate("MainWindow", "Cercle sur 3 points dans l'espace", None))

self.radioButton_6 = QtGui.QRadioButton(self.groupBox_2) self.radioButton_6.setGeometry(QtCore.QRect(10, 60, 95, 20)) self.radioButton_6.setObjectName(_fromUtf8("radioButton_6")) self.radioButton_6.clicked.connect(self.on_radioButton_6_clicked) #connection radioButton_6 self.radioButton_6.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 1", None))

self.radioButton_7 = QtGui.QRadioButton(self.groupBox_2) self.radioButton_7.setGeometry(QtCore.QRect(10, 90, 95, 20)) self.radioButton_7.setObjectName(_fromUtf8("radioButton_7")) self.radioButton_7.clicked.connect(self.on_radioButton_7_clicked) #connection radioButton_7 self.radioButton_7.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 2", None))

self.radioButton_8 = QtGui.QRadioButton(self.groupBox_2) self.radioButton_8.setGeometry(QtCore.QRect(10, 120, 95, 20)) self.radioButton_8.setObjectName(_fromUtf8("radioButton_8")) self.radioButton_8.clicked.connect(self.on_radioButton_8_clicked) #connection radioButton_8 self.radioButton_8.setToolTip(_translate("MainWindow", "Cercle orthogonal sur la forme 3", None))

self.checkBox_1 = QtGui.QCheckBox(self.centralWidget) self.checkBox_1.setGeometry(QtCore.QRect(20, 190, 140, 20)) self.checkBox_1.setChecked(True) self.checkBox_1.setObjectName(_fromUtf8("checkBox_1")) self.checkBox_1.setToolTip(_translate("MainWindow", "Affiche un point sur le centre du cercle", None))
 * 1)        self.checkBox_1.clicked.connect(self.on_checkBox_1_clicked) #connection checkBox_1

self.checkBox_2 = QtGui.QCheckBox(self.centralWidget) self.checkBox_2.setGeometry(QtCore.QRect(170, 190, 150, 20)) self.checkBox_2.setChecked(True) self.checkBox_2.setObjectName(_fromUtf8("checkBox_2")) self.checkBox_2.setToolTip(_translate("MainWindow", "Associe la couleur du cercle à la couleur des axes X,Y,Z (Orthogonal)", None))
 * 1)        self.checkBox_2.clicked.connect(self.on_checkBox_2_clicked) #connection checkBox_1

self.lineEdit_1 = QtGui.QLineEdit(self.centralWidget) self.lineEdit_1.setGeometry(QtCore.QRect(320, 30, 151, 22)) self.lineEdit_1.setObjectName(_fromUtf8("lineEdit_1")) self.lineEdit_1.setReadOnly(True)

self.lineEdit_2 = QtGui.QLineEdit(self.centralWidget) self.lineEdit_2.setGeometry(QtCore.QRect(320, 80, 151, 22)) self.lineEdit_2.setObjectName(_fromUtf8("lineEdit_2")) self.lineEdit_2.setReadOnly(True)

self.lineEdit_3 = QtGui.QLineEdit(self.centralWidget) self.lineEdit_3.setGeometry(QtCore.QRect(320, 130, 151, 22)) self.lineEdit_3.setObjectName(_fromUtf8("lineEdit_3")) self.lineEdit_3.setReadOnly(True)

self.lineEdit_4 = QtGui.QLineEdit(self.centralWidget) self.lineEdit_4.setGeometry(QtCore.QRect(320, 180, 151, 22)) self.lineEdit_4.setObjectName(_fromUtf8("lineEdit_4")) self.lineEdit_4.setReadOnly(True)

self.lineEdit_5 = QtGui.QLineEdit(self.centralWidget) self.lineEdit_5.setGeometry(QtCore.QRect(320, 230, 151, 22)) self.lineEdit_5.setObjectName(_fromUtf8("lineEdit_5")) self.lineEdit_5.setReadOnly(True)

self.label_1 = QtGui.QLabel(self.centralWidget) self.label_1.setGeometry(QtCore.QRect(320, 10, 91, 16)) self.label_1.setObjectName(_fromUtf8("label_1"))

self.label_2 = QtGui.QLabel(self.centralWidget) self.label_2.setGeometry(QtCore.QRect(320, 60, 91, 16)) self.label_2.setObjectName(_fromUtf8("label_2"))

self.label_3 = QtGui.QLabel(self.centralWidget) self.label_3.setGeometry(QtCore.QRect(320, 110, 91, 16)) self.label_3.setObjectName(_fromUtf8("label_3"))

self.label_4 = QtGui.QLabel(self.centralWidget) self.label_4.setGeometry(QtCore.QRect(320, 160, 53, 16)) self.label_4.setObjectName(_fromUtf8("label_4"))

self.label_5 = QtGui.QLabel(self.centralWidget) self.label_5.setGeometry(QtCore.QRect(320, 210, 81, 16)) self.label_5.setObjectName(_fromUtf8("label_5"))

self.pushButton_1 = QtGui.QPushButton(self.centralWidget) self.pushButton_1.setGeometry(QtCore.QRect(20, 230, 90, 28)) self.pushButton_1.setObjectName(_fromUtf8("pushButton_1")) self.pushButton_1.clicked.connect(self.on_pushButton_1_clicked) #connection pushButton_1 self.pushButton_1.setToolTip(_translate("MainWindow", "Quitte la fonction", None))

self.pushButton_2 = QtGui.QPushButton(self.centralWidget) self.pushButton_2.setGeometry(QtCore.QRect(110, 230, 90, 28)) self.pushButton_2.setObjectName(_fromUtf8("pushButton_2")) self.pushButton_2.clicked.connect(self.on_pushButton_2_clicked) #connection pushButton_2 self.pushButton_2.setToolTip(_translate("MainWindow", "Applique la fonction sans quitter", None)) #self.pushButton_2.setStyleSheet("background-color: red") #cette fonction donne une couleur au bouton #self.pushButton_2.setStyleSheet("color : #ff0000") #cette fonction donne une couleur au texte du bouton #self.pushButton_2.setStyleSheet("color : #ff0000; background-color : #0000ff;" ) #combinaison des deux

self.pushButton_3 = QtGui.QPushButton(self.centralWidget) self.pushButton_3.setGeometry(QtCore.QRect(200, 230, 90, 28)) self.pushButton_3.setObjectName(_fromUtf8("pushButton_3")) self.pushButton_3.clicked.connect(self.on_pushButton_3_clicked) #connection pushButton_3 self.pushButton_3.setToolTip(_translate("MainWindow", "Définit le mode par défaut (Cercle sur 3 points dans l'espace)", None))

MainWindow.setCentralWidget(self.centralWidget) self.statusBar = QtGui.QStatusBar(MainWindow) self.statusBar.setObjectName(_fromUtf8("statusBar")) MainWindow.setStatusBar(self.statusBar)

self.retranslateUi(MainWindow) QtCore.QMetaObject.connectSlotsByName(MainWindow) def retranslateUi(self, MainWindow): MainWindow.setWindowFlags(PyQt4.QtCore.Qt.WindowStaysOnTopHint) # cette fonction met la fenêtre en avant #MainWindow.setStyleSheet("background-color: red") #cette fonction donne une couleur à la fenêtre #MainWindow.setWindowOpacity(0.5)   #cette fonction donne une transparence à la fenêtre MainWindow.setWindowTitle(_translate("MainWindow", "Cercle sur 3 points", None)) self.groupBox.setTitle(_translate("MainWindow", "Mode", None)) self.radioButton_1.setText(_translate("MainWindow", "Défaut", None)) self.radioButton_2.setText(_translate("MainWindow", "Vue Face", None)) self.radioButton_3.setText(_translate("MainWindow", "Vue Dessus", None)) self.radioButton_4.setText(_translate("MainWindow", "Vue Droite", None)) self.groupBox_2.setTitle(_translate("MainWindow", "Alignement sur", None)) self.radioButton_5.setText(_translate("MainWindow", "Défaut", None)) self.radioButton_6.setText(_translate("MainWindow", "Forme 1", None)) self.radioButton_7.setText(_translate("MainWindow", "Forme 2", None)) self.radioButton_8.setText(_translate("MainWindow", "Forme 3", None)) self.checkBox_1.setText(_translate("MainWindow", "Afficher le centre", None)) self.checkBox_2.setText(_translate("MainWindow", "Associer les couleurs", None)) self.label_1.setText(_translate("MainWindow", "Coordonnée X", None)) self.label_2.setText(_translate("MainWindow", "Coordonnée Y", None)) self.label_3.setText(_translate("MainWindow", "Coordonnée Z", None)) self.label_4.setText(_translate("MainWindow", "Rayon", None)) self.label_5.setText(_translate("MainWindow", "Angle", None)) self.pushButton_1.setText(_translate("MainWindow", "Quitter", None)) self.pushButton_2.setText(_translate("MainWindow", "Appliquer", None)) self.pushButton_3.setText(_translate("MainWindow", "Défaut", None)) # première série de radioboutons def on_radioButton_1_clicked(self): if self.radioButton_1.isChecked: self.radioButton_5.setChecked(True) def on_radioButton_2_clicked(self): if self.radioButton_5.isChecked: self.radioButton_6.setChecked(True) def on_radioButton_3_clicked(self): if self.radioButton_5.isChecked: self.radioButton_6.setChecked(True) def on_radioButton_4_clicked(self): if self.radioButton_5.isChecked: self.radioButton_6.setChecked(True) # deuxième série de radioboutons def on_radioButton_5_clicked(self): if self.radioButton_5.isChecked: self.radioButton_1.setChecked(True) def on_radioButton_6_clicked(self): if self.radioButton_1.isChecked: self.radioButton_2.setChecked(True) def on_radioButton_7_clicked(self): if self.radioButton_1.isChecked: self.radioButton_2.setChecked(True) def on_radioButton_8_clicked(self): if self.radioButton_1.isChecked: self.radioButton_2.setChecked(True) # Boutons def on_pushButton_1_clicked(self):   # Bouton Quitte la fonction App.Console.PrintMessage("Terminé\r\n") self.window.hide

def on_pushButton_2_clicked(self):   # Bouton Appliquer if self.radioButton_1.isChecked: vueChoix=0 if self.radioButton_2.isChecked: vueChoix=1 if self.radioButton_3.isChecked: vueChoix=2 if self.radioButton_4.isChecked: vueChoix=3

if self.radioButton_5.isChecked: alignerSur=0 if self.radioButton_6.isChecked: alignerSur=1 if self.radioButton_7.isChecked: alignerSur=2 if self.radioButton_8.isChecked: alignerSur=3

if self.checkBox_1.checkState==0: afficherPoint=0 else: afficherPoint=1 if self.checkBox_2.checkState==0: colorer=0 else: colorer=1

# App.Console.PrintMessage("Appliquer\r\n") # App.Console.PrintMessage(str(vueChoix)+" \t") # App.Console.PrintMessage(str(alignerSur)+" \t") # App.Console.PrintMessage(str(afficherPoint)+" \t") # App.Console.PrintMessage(str(colorer)+" \r\n")

def errorDialog(msg): # Create a simple dialog QMessageBox # The first argument indicates the icon used: one of QtGui.QMessageBox.{NoIcon, Information, Warning, Critical, Question} diag = QtGui.QMessageBox(QtGui.QMessageBox.Critical,u"Error Message",msg) diag.setWindowFlags(PyQt4.QtCore.Qt.WindowStaysOnTopHint) # cette fonction met la fenêtre en avant #diag.setWindowModality(QtCore.Qt.ApplicationModal) # la fonction a été désactivée pour favoriser "WindowStaysOnTopHint" diag.exec_

def affiche(x,y,z,rayon,r,v,b,afficherPoint,angle): pl.Base=FreeCAD.Vector(x,y,z) Draft.makeCircle((rayon),placement=pl,face=False,support=None) if colorer==1: FreeCADGui.activeDocument.activeObject.LineColor = (r,v,b) if afficherPoint==1: Draft.makePoint(x,y,z) if colorer==1: FreeCADGui.activeDocument.activeObject.PointColor = (r,v,b) str(self.lineEdit_1.setText(str(x))) str(self.lineEdit_2.setText(str(y))) str(self.lineEdit_3.setText(str(z))) str(self.lineEdit_4.setText(str(rayon))) str(self.lineEdit_5.setText(str(angle)))

# prendre les objets selectionnes sel = FreeCADGui.Selection.getSelection i=0 centreX=0;centreY=0;rayon=0

# S'il y a 3 points sélectionnés alors.. if len(sel)==3 : i=0 ta=[0,0,0,0,0,0,0,0,0] for obj in sel: x=(obj.Shape.BoundBox.Center) ta[i+0]=(x.x)               ta[i+1]=(x.y)                ta[i+2]=(x.z)                i=i+3

if vueChoix==3:       # Vue de droite ZY (Rouge) z_point_1=ta[0] x_point_1=ta[1] y_point_1=ta[2] z_point_2=ta[3] x_point_2=ta[4] y_point_2=ta[5] z_point_3=ta[6] x_point_3=ta[7] y_point_3=ta[8]

elif vueChoix==2:   # Vue de face ZX (Vert) y_point_1=ta[0] z_point_1=ta[1] x_point_1=ta[2] y_point_2=ta[3] z_point_2=ta[4] x_point_2=ta[5] y_point_3=ta[6] z_point_3=ta[7] x_point_3=ta[8]

else:               # Vue de dessus XY (Bleu) x_point_1=ta[0] y_point_1=ta[1] z_point_1=ta[2] x_point_2=ta[3] y_point_2=ta[4] z_point_2=ta[5] x_point_3=ta[6] y_point_3=ta[7] z_point_3=ta[8]

# Calcul des coordonnées du centre du cercle try: 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)) 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)) rayon =sqrt((x_point_1-centreX)**2+(y_point_1-centreY)**2) except: errorDialog(u"Calcul impossible trop d'élements alignés") else: #finally: # si finally est présent, il sera TOUJOURS exécuté # Définition de la coordonnée Z               centreZ=0 # Création du cercle pl=FreeCAD.Placement if vueChoix==1:   # Plan XY Dessus pl.Rotation.Q=(0,0,0,1.0) if alignerSur==1: affiche(centreX,centreY,z_point_1,rayon,0.0,0.0,1.0,afficherPoint,0) elif alignerSur==2: affiche(centreX,centreY,z_point_2,rayon,0.0,0.0,1.0,afficherPoint,0) elif alignerSur==3: affiche(centreX,centreY,z_point_3,rayon,0.0,0.0,1.0,afficherPoint,0) elif vueChoix==2:   # Plan XZ Face pl.Rotation.Q=(1,0,0,1.0) if alignerSur==1: affiche(centreY,z_point_1,centreX,rayon,0.0,1.0,0.0,afficherPoint,0) elif alignerSur==2: affiche(centreY,z_point_2,centreX,rayon,0.0,1.0,0.0,afficherPoint,0) elif alignerSur==3: affiche(centreY,z_point_3,centreX,rayon,0.0,1.0,0.0,afficherPoint,0) elif vueChoix==3:   # Plan YZ Droite pl.Rotation.Q=(0,1,0,1.0) if alignerSur==1: affiche(z_point_1,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint,0) elif alignerSur==2: affiche(z_point_2,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint,0) elif alignerSur==3: affiche(z_point_3,centreX,centreY,rayon,1.0,0.0,0.0,afficherPoint,0) else:   # 3D XYZ P1 = sel[0].Shape.BoundBox.Center P2 = sel[1].Shape.BoundBox.Center P3 = sel[2].Shape.BoundBox.Center

P1P2 = (P2 - P1).Length P2P3 = (P3 - P2).Length P3P1 = (P1 - P3).Length

# Circle radius. l = ((P1 - P2).cross(P2 - P3)).Length try: #if l < 1e-8: #   errorDialog("The three points are aligned") r = P1P2 * P2P3 * P3P1 / 2 / l                   except: errorDialog("The three points are aligned") else: # Sphere center. a = P2P3**2 * (P1 - P2).dot(P1 - P3) / 2 / l**2 b = P3P1**2 * (P2 - P1).dot(P2 - P3) / 2 / l**2 c = P1P2**2 * (P3 - P1).dot(P3 - P2) / 2 / l**2 P1.multiply(a) P2.multiply(b) P3.multiply(c) PC = P1 + P2 + P3

# Creation of a circle pl = Base.Placement v = (P1 - P2).cross(P3 - P2) v.normalize axis = Base.Vector(0, 0, 1).cross(v) angle = asin(axis.Length) * 180 / pi                       axis.normalize pl = Base.Placement(PC, axis, angle) affiche((PC.x),(PC.y),(PC.z),r,0.0,0.0,0.0,afficherPoint,angle)

else: # Si la condition n'est pas remplie, recommencer errorDialog(u"Sélectionnez 3 points et recommencez") #FreeCAD.Console.PrintError("Sélectionnez 3 points et recommencez\r\n") def on_pushButton_3_clicked(self):   # Valeurs d'origine App.Console.PrintMessage("Défaut\r\n") vueChoix=0		# choix de la vue Dessus=1 XY, vue Face=2 ZX, vue Droite=3 ZY       self.radioButton_1.setChecked(True) alignerSur=0	# aligne le cercle sur une forme au choix (1,2 ou 3) ou sur Z=0 self.radioButton_5.setChecked(True) afficherPoint=1	# affiche le point central du cercle self.checkBox_1.setChecked(True) colorer=1		# colorer suivant l'axe 1=Ok 0=Couleur courante uniquement Orthogonal ! self.checkBox_2.setChecked(True)
 * 1) ________________________________________________________________________________


 * 1) ______________________________________________________________________________________

MainWindow = QtGui.QMainWindow ui = Ui_MainWindow(MainWindow) MainWindow.show

Anaglyphe
Here an Anaglyph view that allows you to see two different positions of the view by using glasses with filters red and Cyan.

Watch alternately with the left eye and the right eye to see the views separately.

Crédits
The genesis of the macro Draft_Circle_3_Points sur le forum (PYTHON) coordonnées d'un point helped flachyjoe thanks.

The formula comes from cercle_3pts.pdf and used with the kind permission of its author.

The formula adapted by " galou_breizh " circle in 3D space comes from Circumscribed_circle

Separate programs are located here,

Macro_Draft_Circle_3_Points

Macro_Draft_Circle_3_Points_3D