Chapter Machiner to Madam of M by Webster's Dictionary (1913 Edition)

5. Furious with rage, terror, or disease; — said of the lower animals; as, a mad bull; esp., having hydrophobia; rabid; as, a mad dog.

6. Angry; out of patience; vexed; as, to get mad at a person. [Colloq.]

7. Having impaired polarity; — applied to a compass needle. [Colloq.]

Like mad, like a mad person; in a furious manner; as, to run like mad. L'Estrange. — To run mad. (a) To become wild with excitement. (b) To run wildly about under the influence of hydrophobia; to become affected with hydrophobia. — To run mad after, to pursue under the influence of infatuation or immoderate desire. "The world is running mad after farce." Dryden.

Mad
(Mad), v. t. [imp. & p. p. Madded; p. pr. & vb. n. Madding.] To make mad or furious; to madden.

Had I but seen thy picture in this plight,
It would have madded me.

Shak.

Mad
(Mad), v. i. To be mad; to go mad; to rave. See Madding. [Archaic] Chaucer.

Festus said with great voice, Paul thou maddest.

Wyclif

Mad
(Mad), n. [AS. maa; akin to D. & G. made, Goth. mapa, and prob. to E. moth.] (Zoöl.) An earthworm. [Written also made.]

Madam
(Mad"am) n.; pl. Madams, or Mesdames [See Madame.] A gentlewoman; — an appellation or courteous form of address given to a lady, especially an elderly or a married lady; — much used in the address, at the beginning of a letter, to a woman. The corresponding word in addressing a man is Sir.