This volume takes a look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga’s Conica . It provides an alternative to H.G. Zeuthen’s Die Lehre von den Kegelschnitten im Altertum . The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica , both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general.