Double Dribble?

[BillyMac]

Originally Posted by BigCat

... see case play 9.5.

9.5 SITUATION: A1 dribbles and comes to a stop after which he/she throws the
ball against: (a) his/her own backboard; (b) the opponent’s backboard; or (c) an
official and catches the ball after each. RULING: Legal in (a); a team’s own backboard
is considered part of that team’s “equipment” and may be used. In (b) and
(c), A1 has violated; throwing the ball against an opponent’s backboard or an official
constitutes another dribble, provided A1 is first to touch the ball after it
strikes the official or the board. (4-4-5; 4-15-1, 2; Fundamental 19)

It doesn't say what A1 can do after he catches the ball. Dribble again?