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The Collaborative International Dictionary
Protreptical

Protreptical \Pro*trep"tic*al\, a. [Gr. ?, fr. ? to turn forward, to urge on.] Adapted to persuade; hortatory; persuasive. [Obs.]
--Bp. Ward.

Wiktionary
protreptical

a. (context obsolete English) Adapted to persuade; hortatory; persuasive.