How we cite our quotes: (Act.Scene.Line). Line numbers correspond to the Norton edition.
Quote #1
GLOUCESTER
Why, this it is when men are rul'd by women (1.1.4)
Richard is speaking of Elizabeth and Jane Shore's power over King Edward IV. This is a hint that Richard views Edward as utterly weak and credulous. If he lets himself be controlled even by women, Richard definitely has a chance at persuading and controlling him.
Quote #2
GLOUCESTER
Which done, God take King Edward to his mercy,
And leave the world for me to bustle in! (1.1.16)
This is a fascinating way to describe how Richard views power. It's less about self-advancement and superiority than just being able to scamper around doing wicked things. Again, it seems Richard delights in his naughtiness.
Quote #3
ANNE
O God, which this blood mad'st, revenge his death!
O earth, which this blood drink'st, revenge his death!
Either, heav'n, with lightning strike the murd'rer dead;
Or, earth, gape open wide and eat him quick,
As thou dost swallow up this good king's blood,
Which his hell-govern'd arm hath butchered. (1.2.20)
Though Anne has every right to seek justice for Richard's evils, she calls out to a higher power to avenge her. She doesn't act herself, perhaps because she feels powerless in relation to Richard.