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


 gp_Elips (const gp_Ax2 &theA2, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius) 
 The major radius of the ellipse is on the "XAxis" and the minor radius is on the "YAxis" of the ellipse. The "XAxis" is defined with the "XDirection" of theA2 and the "YAxis" is defined with the "YDirection" of theA2. Warnings : It is not forbidden to create an ellipse with theMajorRadius = theMinorRadius. Raises ConstructionError if theMajorRadius < theMinorRadius or theMinorRadius < 0. More...


void  SetAxis (const gp_Ax1 &theA1) 
 Changes the axis normal to the plane of the ellipse. It modifies the definition of this plane. The "XAxis" and the "YAxis" are recomputed. The local coordinate system is redefined so that: More...


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


void  SetMajorRadius (const Standard_Real theMajorRadius) 
 The major radius of the ellipse is on the "XAxis" (major axis) of the ellipse. Raises ConstructionError if theMajorRadius < MinorRadius. More...


void  SetMinorRadius (const Standard_Real theMinorRadius) 
 The minor radius of the ellipse is on the "YAxis" (minor axis) of the ellipse. Raises ConstructionError if theMinorRadius > MajorRadius or MinorRadius < 0. More...


void  SetPosition (const gp_Ax2 &theA2) 
 Modifies this ellipse, by redefining its local coordinate so that it becomes theA2. More...


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


const gp_Ax1 &  Axis () const 
 Computes the axis normal to the plane of the ellipse. More...


gp_Ax1  Directrix1 () const 
 Computes the first or second directrix of this ellipse. These are the lines, in the plane of the ellipse, normal to the major axis, at a distance equal to MajorRadius/e from the center of the ellipse, where e is the eccentricity of the ellipse. The first directrix (Directrix1) is on the positive side of the major axis. The second directrix (Directrix2) is on the negative side. The directrix is returned as an axis (gp_Ax1 object), the origin of which is situated on the "X Axis" of the local coordinate system of this ellipse. Exceptions Standard_ConstructionError if the eccentricity is null (the ellipse has degenerated into a circle). More...


gp_Ax1  Directrix2 () const 
 This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the ellipse. Exceptions Standard_ConstructionError if the eccentricity is null (the ellipse has degenerated into a circle). 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. Raises ConstructionError if MajorRadius = 0.0. More...


Standard_Real  Focal () const 
 Computes the focal distance. It is the distance between the two focus focus1 and focus2 of the ellipse. More...


gp_Pnt  Focus1 () const 
 Returns the first focus of the ellipse. This focus is on the positive side of the "XAxis" of the ellipse. More...


gp_Pnt  Focus2 () const 
 Returns the second focus of the ellipse. This focus is on the negative side of the "XAxis" of the ellipse. More...


const gp_Pnt &  Location () const 
 Returns the center of the ellipse. It is the "Location" point of the coordinate system 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_Ax2 &  Position () const 
 Returns the coordinate system of the ellipse. More...


gp_Ax1  XAxis () const 
 Returns the "XAxis" of the ellipse whose origin is the center of this ellipse. It is the major axis of the ellipse. More...


gp_Ax1  YAxis () const 
 Returns the "YAxis" of the ellipse whose unit vector is the "X Direction" or the "Y Direction" of the local coordinate system of this ellipse. This is the minor axis of the ellipse. More...


void  Mirror (const gp_Pnt &theP) 

gp_Elips  Mirrored (const gp_Pnt &theP) const 
 Performs the symmetrical transformation of an ellipse with respect to the point theP which is the center of the symmetry. More...


void  Mirror (const gp_Ax1 &theA1) 

gp_Elips  Mirrored (const gp_Ax1 &theA1) const 
 Performs the symmetrical transformation of an ellipse with respect to an axis placement which is the axis of the symmetry. More...


void  Mirror (const gp_Ax2 &theA2) 

gp_Elips  Mirrored (const gp_Ax2 &theA2) const 
 Performs the symmetrical transformation of an ellipse with respect to a plane. The axis placement theA2 locates the plane of the symmetry (Location, XDirection, YDirection). More...


void  Rotate (const gp_Ax1 &theA1, const Standard_Real theAng) 

gp_Elips  Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const 
 Rotates an ellipse. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians. More...


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

gp_Elips  Scaled (const gp_Pnt &theP, const Standard_Real theS) const 
 Scales an ellipse. theS is the scaling value. More...


void  Transform (const gp_Trsf &theT) 

gp_Elips  Transformed (const gp_Trsf &theT) const 
 Transforms an ellipse with the transformation theT from class Trsf. More...


void  Translate (const gp_Vec &theV) 

gp_Elips  Translated (const gp_Vec &theV) const 
 Translates an ellipse in the direction of the vector theV. The magnitude of the translation is the vector's magnitude. More...


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

gp_Elips  Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const 
 Translates an ellipse from the point theP1 to the point theP2. More...

