Horatio claims that he is more like an ancient Roman than a corrupt modern Danish. Then he picks up the poisoned cup in order to drink. He makes an allusion with this how roman soldiers gave up their lives for the sake of their emperor. It shows his bravery, at the same time his loyalty to Hamlet.
In "Hamlet", by William Shakespeare, Act V, Scene II, the statement that describes the allusion in these lines is option c. Horatio refers to Roman soldiers who gave up their lives in allegiance to their emperor. Laertes and Claudius die. Hamlet is also dying. Horatio wants to drink the poison that's left in the cup because he offers his life as Roman soldiers did for their emperor.