satyr n.

c. 1500, "a literary work (originally in verse) intended to ridicule prevailing vice or folly by scornful or contemptuous expression," from French satire (14c.) and directly from Latin satira "satire; poetic medley," earlier satura, in lanx satura "mixed dish, dish filled with various kinds of fruit," literally "full dish," from fem. of satur "sated" (from PIE root *sa- "to satisfy").

The word acquired its literary sense, in Latin, in reference to a collection of poems in various meters on a variety of subjects by the late republican poet Ennius. The little that survives of his verse does not now seem particularly satiric, but in classical Latin the word was used especially of a poem which assailed various vices one after another.

The form was altered in Latin by influence of Greek satyr, on the mistaken notion that the literary form is related to the Greek satyr drama (see satyr). Also see humor (n.).

In modern general use, "a denouncing or deriding speech or writing full of sarcasm, ridicule, irony, etc." (all of which can express satire). The broader meaning "fact or circumstance that makes someone or something look ridiculous" is by 1690s. 

Satire, n. An obsolete kind of literary composition in which the vices and follies of the author's enemies were expounded with imperfect tenderness. In this country satire never had more than a sickly and uncertain existence, for the soul of it is wit, wherein we are dolefully deficient, the humor that we mistake for it, like all humor, being tolerant and sympathetic. Moreover, although Americans are 'endowed by their Creator' with abundant vice and folly, it is not generally known that these are reprehensible qualities, wherefore the satirist is popularly regarded as a sour-spirited knave, and his every victim's outcry for codefendants evokes a national assent. [Ambrose Bierce, "Devil's Dictionary," 1911] 

Proper satire is distinguished, by the generality of the reflections, from a lampoon which is aimed against a particular person, but they are too frequently confounded. [Johnson] 

[I]n whatever department of human expression, wherever there is objective truth there is satire [Wyndham Lewis, "Rude Assignment," 1950]

"excessive and unrestrainable venereal desire in the male," 1650s, medical Latin, from Greek satyriasis, from satyros (see satyr). Also in the same sense was satyromania (1889 as a dictionary word; 1759 in Modern Latin), and compare priapism.

"of or pertaining to a satyr or satyrs," c. 1600, from Latin satyricus, from Greek satyrikos "pertaining to a satyr or satyrs," especially as represented in Greek drama, from satyros (see satyr). Related: Satyrical (1580s).