Final answer:
Eurymachus' character is often shown to be deceitful, manipulative, and self-serving through his speeches, which reveal negative traits counter to the heroic ideal in Greek literature like 'The Odyssey'.
Step-by-step explanation:
Eurymachus' speech in Greek literature, particularly in the context of Homer's works, might reveal his character as duplicitous, sly, and self-serving. He is one of the suitors in The Odyssey, known for trying to manipulate situations to his advantage and lacking the honorable traits that heroes like Odysseus possess.
The typically negative aspects of Eurymachus' personality such as deceit, lack of accountability, and manipulative behavior are often showcased in his speeches. If we are discussing a specific speech not found in The Odyssey, like the one mentioned in the reference materials, context from the particular work of literature would be needed to provide a detailed analysis of his character.