On and on they walked, but the view did not vary: on one side of them, the rough cavern wall, on the other, the boundless expanse of smooth, glassy blackness, in the very middle of which was that mysterious greenish glow.
There are no more uses of "bound" identified with this meaning, but check unspecified meaning below.
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The ball went out of bounds.
She stepped out of bounds, so the other team got the ball.
Bellatrix’s astounded face glowed red in the blaze of a third unique flame, which shot from the wand, twisted with the others, and bound itself thickly around their clasped hands, like a fiery snake.
The walls were completely covered in books, most of them bound in old black or brown leather; a threadbare sofa, an old armchair, and a rickety table stood grouped together in a pool of dim light cast by a candle-filled lamp hung from the ceiling.
His enormous boarhound, Fang, was at his heels; Fang gave a booming bark and bounded forward.
He sent Ron crashing back to the floor (his ear did hurt quite a lot), but Ron simply bounded to his feet again, grinning.
But Hogwarts is safer than their homes, bound to be!
"— Weasley saves it, well, he’s bound to get lucky sometimes, I suppose…."
"We won!" yelled Ron, bounding into sight and brandishing the silver Cup at Harry.
A few of them stumbled, one or two of them bound in ropes, but those climbing onto the rock behind them merely stepped over or on the fallen bodies.
I mean …. with Snapes history … of course people were bound to wonder…. but Dumbledore told me explicitly that Snape’s repentance was absolutely genuine——Wouldn’t hear a word against him!
And you resorted to crude and badly judged meas-ures such as sending me a cursed necklace that was bound to reach the wrong hands … poisoning mead there was only the slightest chance I might drink …’
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’Yeah, well, you still didn’t realise who was behind that stuff, did you?’ sneered Malfoy, as Dumbledore slid a little down the ramparts, the strength in his legs apparently fading, and Harry struggled fruitlessly, mutely, against the enchantment binding him.
He thought he understood why as he felt his broom shudder for a moment when they flew over the bound-ary wall into the grounds: Dumbledore was undoing the enchantments he himself had set around the castle, so that they could enter at speed.
He had known there was no hope from the moment that the full Body-Bind Curse Dumbledore had placed upon him lifted, known that it could have happened only because its caster was dead, but there was still no preparation for seeing him here, spread-eagled, broken: the greatest wizard Harry had ever, or would ever, meet.
"It was in the Daily Prophet" ’ "The Prophet is bound to report the truth occasionally," said Dumbledore, "if only accidentally.