
 gp_Hypr () 
 Creates of an indefinite hyperbola. More...


 gp_Hypr (const gp_Ax2 &theA2, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius) 
 Creates a hyperbola with radius theMajorRadius and theMinorRadius, positioned in the space by the coordinate system theA2 such that: More...


void  SetAxis (const gp_Ax1 &theA1) 
 Modifies this hyperbola, by redefining its local coordinate system so that: More...


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


void  SetMajorRadius (const Standard_Real theMajorRadius) 
 Modifies the major radius of this hyperbola. Exceptions Standard_ConstructionError if theMajorRadius is negative. More...


void  SetMinorRadius (const Standard_Real theMinorRadius) 
 Modifies the minor radius of this hyperbola. Exceptions Standard_ConstructionError if theMinorRadius is negative. More...


void  SetPosition (const gp_Ax2 &theA2) 
 Modifies this hyperbola, by redefining its local coordinate system so that it becomes A2. More...


gp_Ax1  Asymptote1 () const 
 In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A)  (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = (B/A)*X where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0. More...


gp_Ax1  Asymptote2 () const 
 In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A)  (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = (B/A)*X. where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0. More...


const gp_Ax1 &  Axis () const 
 Returns the axis passing through the center, and normal to the plane of this hyperbola. More...


gp_Hypr  ConjugateBranch1 () const 
 Computes the branch of hyperbola which is on the positive side of the "YAxis" of <me>. More...


gp_Hypr  ConjugateBranch2 () const 
 Computes the branch of hyperbola which is on the negative side of the "YAxis" of <me>. More...


gp_Ax1  Directrix1 () const 
 This directrix is the line normal to the XAxis of the hyperbola in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the hyperbola, where e is the eccentricity of the hyperbola. This line is parallel to the "YAxis". The intersection point between the directrix1 and the "XAxis" is the "Location" point of the directrix1. This point is on the positive side of the "XAxis". More...


gp_Ax1  Directrix2 () const 
 This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the hyperbola. More...


Standard_Real  Eccentricity () const 
 Returns the eccentricity of the hyperbola (e > 1). If f is the distance between the location of the hyperbola and the Focus1 then the eccentricity e = f / MajorRadius. Raises DomainError if MajorRadius = 0.0. More...


Standard_Real  Focal () const 
 Computes the focal distance. It is the distance between the the two focus of the hyperbola. More...


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


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


const gp_Pnt &  Location () const 
 Returns the location point of the hyperbola. It is the intersection point between the "XAxis" and the "YAxis". More...


Standard_Real  MajorRadius () const 
 Returns the major radius of the hyperbola. It is the radius on the "XAxis" of the hyperbola. More...


Standard_Real  MinorRadius () const 
 Returns the minor radius of the hyperbola. It is the radius on the "YAxis" of the hyperbola. More...


gp_Hypr  OtherBranch () const 
 Returns the branch of hyperbola obtained by doing the symmetrical transformation of <me> with respect to the "YAxis" of <me>. More...


Standard_Real  Parameter () const 
 Returns p = (e * e  1) * MajorRadius where e is the eccentricity of the hyperbola. Raises DomainError if MajorRadius = 0.0. More...


const gp_Ax2 &  Position () const 
 Returns the coordinate system of the hyperbola. More...


gp_Ax1  XAxis () const 
 Computes an axis, whose. More...


gp_Ax1  YAxis () const 
 Computes an axis, whose. More...


void  Mirror (const gp_Pnt &theP) 

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


void  Mirror (const gp_Ax1 &theA1) 

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


void  Mirror (const gp_Ax2 &theA2) 

gp_Hypr  Mirrored (const gp_Ax2 &theA2) const 
 Performs the symmetrical transformation of an hyperbola 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_Hypr  Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const 
 Rotates an hyperbola. 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_Hypr  Scaled (const gp_Pnt &theP, const Standard_Real theS) const 
 Scales an hyperbola. theS is the scaling value. More...


void  Transform (const gp_Trsf &theT) 

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


void  Translate (const gp_Vec &theV) 

gp_Hypr  Translated (const gp_Vec &theV) const 
 Translates an hyperbola 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_Hypr  Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const 
 Translates an hyperbola from the point theP1 to the point theP2. More...

