The nine-point circle with the Euler line was generalized into the nine-point conic. Through a similar process, due to the analogous properties of the two circles, the Spieker circle was also able to be generalized into the Spieker conic.
A more advanced version of the nine-point circle with the Euler line took shape in the form of the nine-point conic. Through a comparable process, the similar characteristics of the two circles led to the creation of the Spieker conic from its original Spieker circle.