Meanwhile, Webb, who started the day eight shots adrift, eagled 15 and birdied 16 to post the clubhouse lead.
Oosthuizen eagled the 15th to draw level but missed chances for an outright win at his last three holes.
The 19-year-old Italian eagled the third extra hole to deny 2010 British Open champion Oosthuizen his third title of 2012.
Wood, he made his mark at the 2008 and 2009 British Opens eagled the 548-yard tenth to highlight his round.
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The 20-year-old Spaniard eagled the par-5, 555-yard 5th hole, and added six more birdies on his way to an 8-under-par 64.
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"That's history, I've got nothing to say about it, " said the world number five, who eagled the same hole in the second round.
On the West Bank, Mr Barak says, the spread-eagled settlements would be dismantled and only the large settlement blocks near the old border retained.
McIlroy also eagled his last hole to surge up the leaderboard with a six-under-par 65 that left him three shots behind the top duo.
There was also a fine water escape on Sunday, as Matt Every eagled the par-four third hole despite having his feet planted in the hazard.
McIlroy, who eagled the par-5 ninth as he got to 13-under, battled wayward tee shots on the back nine on his way to a 68.
Fisher eagled his opening hole in his bid for a first European Tour title, but fell away with a 73 that left him tied for sixth.
That opened the door to a half-dozen world-class contenders, including most unexpectedly Woods, who eagled the eighth to briefly move into a tie for the lead.
Spread-eagled and dog-eared, between the sheets, among the food, on the road and in the wild, they are not only props and script, but part of the cast.
The middle-aged woman is the one spread-eagled over there in the delicate silk blouse beneath the removed jacket, praying nothing on her body goes beep and makes people look.
Luke Donald, the highest ranked British player in the field, eagled the 307-yard par-four 16th, but McIlroy's round ended in disappointing fashion with dropped shots at the final two holes.
The 14-time major winner, who is hosting the tournament, set the tone for his round when he eagled the par-five 2nd and followed that up with birdies on the 4th and 5th holes.
Mr. Stenmark eagled the hole, a three-shot swing.
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The 36-year-old, who is on the board of directors for his home tournament, surged into the lead with a six-under 65 on Sunday but Matteson -- who had led from the first round -- made up for a double bogey at 15 as he eagled 17 and forced the playoff with his 69.
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