Brutus, and Caesar: What should be in that Caesar? Why should that name be sounded more than yours?
-- Cassius (Act I, Scene II paragraph 39)

Importance: Cassius is telling Brutus that there’s no reason Caesar should be loved and lauded more than Brutus. He goes back to that idea that the name Caesar is no more special than the name Brutus.

He would be crowned: How that might change his nature, there’s the question: It is the bright day that brings forth the adder.
-- Brutus (Act II, Scene I paragraph 7)

Importance: Brutus predicts that the people will eventually crown Caesar king. He says a couple of lines earlier that he has no reason to “spurn” Caesar but he worries that a new level of power will corrupt Caesar.

Caesar shall forth: the things that threaten’d me ne’er look’d but on my back; when they shall see the face of Caesar, they are vanished.
-- Caesar (Act II, Scene II paragraph 9)

Importance: This is Caesar’s response to Calpurnia...