(self, parameter='t')
return Point(*[w.subs(t, tnew) for w in self.functions])
A parameterized point on the curve.

        Parameters
        ==========

        parameter : str or Symbol, optional
            Default value is 't';
            the Curve's parameter is selected with None or self.parameter
            otherwise the provided symbol is used.

        Returns
        =======

        arbitrary_point : Point

        Raises
        ======

        ValueError
            When `parameter` already appears in the functions.

        See Also
        ========

        sympy.geometry.point.Point

        Examples
        ========

        >>> from sympy import Symbol
        >>> from sympy.abc import s
        >>> from sympy.geometry import Curve
        >>> C = Curve([2*s, s**2], (s, 0, 2))
        >>> C.arbitrary_point()
        Point(2*t, t**2)
        >>> C.arbitrary_point(C.parameter)
        Point(2*s, s**2)
        >>> C.arbitrary_point(None)
        Point(2*s, s**2)
        >>> C.arbitrary_point(Symbol('a'))
        Point(2*a, a**2)
A parameterized point on the curve.
A parameterized point on the curve .
def arbitrary_point(self, parameter='t'):
        """
        A parameterized point on the curve.

        Parameters
        ==========

        parameter : str or Symbol, optional
            Default value is 't';
            the Curve's parameter is selected with None or self.parameter
            otherwise the provided symbol is used.

        Returns
        =======

        arbitrary_point : Point

        Raises
        ======

        ValueError
            When `parameter` already appears in the functions.

        See Also
        ========

        sympy.geometry.point.Point

        Examples
        ========

        >>> from sympy import Symbol
        >>> from sympy.abc import s
        >>> from sympy.geometry import Curve
        >>> C = Curve([2*s, s**2], (s, 0, 2))
        >>> C.arbitrary_point()
        Point(2*t, t**2)
        >>> C.arbitrary_point(C.parameter)
        Point(2*s, s**2)
        >>> C.arbitrary_point(None)
        Point(2*s, s**2)
        >>> C.arbitrary_point(Symbol('a'))
        Point(2*a, a**2)

        """
        if parameter is None:
            return Point(*self.functions)

        tnew = _symbol(parameter, self.parameter)
        t = self.parameter
        if (tnew.name != t.name and
                tnew.name in (f.name for f in self.free_symbols)):
            raise ValueError('Symbol %s already appears in object '
                'and cannot be used as a parameter.' % tnew.name)
        return Point(*[w.subs(t, tnew) for w in self.functions])
def arbitrary_point ( self , parameter = 't' ) : if parameter is None : return Point ( * self . functions ) tnew = _symbol ( parameter , self . parameter ) t = self . parameter if ( tnew . name != t . name and tnew . name in ( f . name for f in self . free_symbols ) ) : raise ValueError ( 'Symbol %s already appears in object ' 'and cannot be used as a parameter.' % tnew . name ) return Point ( * [ w . subs ( t , tnew ) for w in self . functions ] )