in book one the relations satisfied by the diameters and tangents of conics are studied while in book two apollonius investigates how hyperbolas are related to their asymptotes , and he also studies how to draw tangents to given conics.

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In book one the relations satisfied by the diameters and tangents of conics are studied while in book two Apollonius investigates how hyperbolas are related to their asymptotes , and he also studies how to draw tangents to given conics.