Angle of Rotation of Axes • Eliminating the xy-term • Value of Determines Curve
In this chapter, we have discussed the circle, parabola, ellipse, and hyperbola, and in the last section, we showed how these curves are represented by the second-degree equation
The discussion of these curves included their equations with the center (vertex of a parabola) at the origin. However, as noted in the last section, except for the special case of the hyperbola we did not show what happens when the axes are rotated about the origin.
If a set of axes is rotated about the origin through an angle as shown in Fig. 21.97, we say that there has been a rotation of axes.