
 gp_Elips2d () 
 Creates an indefinite ellipse. More...


 gp_Elips2d (const gp_Ax2d &theMajorAxis, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius, const Standard_Boolean theIsSense=Standard_True) 
 Creates an ellipse with the major axis, the major and the minor radius. The location of the theMajorAxis is the center of the ellipse. The sense of parametrization is given by theIsSense. Warnings : It is possible to create an ellipse with theMajorRadius = theMinorRadius. Raises ConstructionError if theMajorRadius < theMinorRadius or theMinorRadius < 0.0. More...


 gp_Elips2d (const gp_Ax22d &theA, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius) 
 Creates an ellipse with radii MajorRadius and MinorRadius, positioned in the plane by coordinate system theA where: More...


void  SetLocation (const gp_Pnt2d &theP) 
 Modifies this ellipse, by redefining its local coordinate system so that. More...


void  SetMajorRadius (const Standard_Real theMajorRadius) 
 Changes the value of the major radius. Raises ConstructionError if theMajorRadius < MinorRadius. More...


void  SetMinorRadius (const Standard_Real theMinorRadius) 
 Changes the value of the minor radius. Raises ConstructionError if MajorRadius < theMinorRadius or MinorRadius < 0.0. More...


void  SetAxis (const gp_Ax22d &theA) 
 Modifies this ellipse, by redefining its local coordinate system so that it becomes theA. More...


void  SetXAxis (const gp_Ax2d &theA) 
 Modifies this ellipse, by redefining its local coordinate system so that its origin and its "X Direction" become those of the axis theA. The "Y Direction" is then recomputed. The orientation of the local coordinate system is not modified. More...


void  SetYAxis (const gp_Ax2d &theA) 
 Modifies this ellipse, by redefining its local coordinate system so that its origin and its "Y Direction" become those of the axis theA. The "X Direction" is then recomputed. The orientation of the local coordinate system is not modified. More...


Standard_Real  Area () const 
 Computes the area of the ellipse. More...


void  Coefficients (Standard_Real &theA, Standard_Real &theB, Standard_Real &theC, Standard_Real &theD, Standard_Real &theE, Standard_Real &theF) const 
 Returns the coefficients of the implicit equation of the ellipse. theA * (X**2) + theB * (Y**2) + 2*theC*(X*Y) + 2*theD*X + 2*theE*Y + theF = 0. More...


gp_Ax2d  Directrix1 () const 
 This directrix is the line normal to the XAxis of the ellipse in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the ellipse, where e is the eccentricity of the ellipse. This line is parallel to the "YAxis". The intersection point between directrix1 and the "XAxis" is the location point of the directrix1. This point is on the positive side of the "XAxis". More...


gp_Ax2d  Directrix2 () const 
 This line is obtained by the symmetrical transformation of "Directrix1" with respect to the minor axis of the ellipse. More...


Standard_Real  Eccentricity () const 
 Returns the eccentricity of the ellipse between 0.0 and 1.0 If f is the distance between the center of the ellipse and the Focus1 then the eccentricity e = f / MajorRadius. Returns 0 if MajorRadius = 0. More...


Standard_Real  Focal () const 
 Returns the distance between the center of the ellipse and focus1 or focus2. More...


gp_Pnt2d  Focus1 () const 
 Returns the first focus of the ellipse. This focus is on the positive side of the major axis of the ellipse. More...


gp_Pnt2d  Focus2 () const 
 Returns the second focus of the ellipse. This focus is on the negative side of the major axis of the ellipse. More...


const gp_Pnt2d &  Location () const 
 Returns the center of the ellipse. More...


Standard_Real  MajorRadius () const 
 Returns the major radius of the Ellipse. More...


Standard_Real  MinorRadius () const 
 Returns the minor radius of the Ellipse. More...


Standard_Real  Parameter () const 
 Returns p = (1  e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0. More...


const gp_Ax22d &  Axis () const 
 Returns the major axis of the ellipse. More...


gp_Ax2d  XAxis () const 
 Returns the major axis of the ellipse. More...


gp_Ax2d  YAxis () const 
 Returns the minor axis of the ellipse. Reverses the direction of the circle. More...


void  Reverse () 

gp_Elips2d  Reversed () const 

Standard_Boolean  IsDirect () const 
 Returns true if the local coordinate system is direct and false in the other case. More...


void  Mirror (const gp_Pnt2d &theP) 

gp_Elips2d  Mirrored (const gp_Pnt2d &theP) const 
 Performs the symmetrical transformation of a ellipse with respect to the point theP which is the center of the symmetry. More...


void  Mirror (const gp_Ax2d &theA) 

gp_Elips2d  Mirrored (const gp_Ax2d &theA) const 
 Performs the symmetrical transformation of a ellipse with respect to an axis placement which is the axis of the symmetry. More...


void  Rotate (const gp_Pnt2d &theP, const Standard_Real theAng) 

gp_Elips2d  Rotated (const gp_Pnt2d &theP, const Standard_Real theAng) const 

void  Scale (const gp_Pnt2d &theP, const Standard_Real theS) 

gp_Elips2d  Scaled (const gp_Pnt2d &theP, const Standard_Real theS) const 
 Scales a ellipse. theS is the scaling value. More...


void  Transform (const gp_Trsf2d &theT) 

gp_Elips2d  Transformed (const gp_Trsf2d &theT) const 
 Transforms an ellipse with the transformation theT from class Trsf2d. More...


void  Translate (const gp_Vec2d &theV) 

gp_Elips2d  Translated (const gp_Vec2d &theV) const 
 Translates a ellipse in the direction of the vector theV. The magnitude of the translation is the vector's magnitude. More...


void  Translate (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) 

gp_Elips2d  Translated (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) const 
 Translates a ellipse from the point theP1 to the point theP2. More...

