Asymptote rhymes with:
autotote, anecdote, antidote, autotote, banknote, booknote, callicoat, chilcoat, chilcote, creosote, cutthroat, euronote, ferryboat, fivecoat, flatboat, footnote, gunboat, hathcoat, houseboat, jefcoat, keynote, liddicoat, lifeboat, malicoat, motorboat, overcoat, petticoat, powerboat, raincoat, redcoat, riverboat, rowboat, sailboat, scapegoat, showboat, speedboat, steamboat, towboat, tugboat, turncoat, undercoat, wescoat