Apollonius1 Syllabification: (Ap·ol·lo·ni·us)Pronunciation: /ˌapəˈlōnēəs/Definition of Apollonius (circa 260–190 bc), Greek mathematician; known as Apollonius of Perga. He examined and redefined the various conic sections and was the first to use the terms ellipse, parabola, and hyperbola for these classes of curve. Apollonius in other Oxford dictionaries Definition of Apollonius in the British & World English dictionary