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Ponting, 33, needed 61 to become the third Australian to reach the milestone after Allan Border and Steve Waugh.
BBC: Ponting passes Test run milestone
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Gilchrist's sensational knock beat Allan Border's 78-ball one-day ton against Sri Lanka in 1985 and his own 78-ball knock against New Zealand in 2000.
BBC: Australia 328-4 bt World XI 273 by 55 runs
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Smith now has 6, 664 runs in 79 Tests as skipper, 41 runs more than Australia's Allan Border managed in 93 matches as captain.
BBC: Graeme Smith hits ton as South Africa punish Pakistan
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Smith and fellow opener Alvaro Petersen (67) put on 153, with Smith overtaking Allan Border to become the top-scoring Test captain before falling for 100.
BBC: Graeme Smith hits ton as South Africa punish Pakistan
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Hohns will meet with fellow selectors Allan Border and Andrew Hilditch in July to consider the touring squad after speaking with Warne about his plans.
BBC: News | Cricket | Warne Test place in doubt
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Smith put a disappointing day behind him to pay tribute to Kallis' achievement, joining the likes of Sachin Tendulkar, Brian Lara and Allan Border on a five-figure Test aggregate.
BBC: S Africa recover after North ton
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Not only did he surpass the great Allan Border but he also smashed his way to another double century against one of, if not the, best bowling attacks in world cricket.
BBC: Lara makes for awesome viewing
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Dravid went past Allan Border's mark of 11, 174 runs in Test cricket, leaving him behind just team-mate Sachin Tendulkar, West Indies' Brian Lara and Australian skipper Ricky Ponting on the all-time scorer list.
BBC: India batsman Rahul Dravid passes Test runs landmark
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England's Test bowlers have been practising at the nearby Allan Border field having been rested for the match against Australia A in Tasmania - and they will get their first look at the Gabba on Sunday.
BBC: Ashes: Mike Hussey primed for Gabba Test after century
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But the left-handed batsman remained in charge for 80 Tests - only Australian Allan Border (93) has been in charge for more - and his win ratio of 35% was only bettered for New Zealand by Howarth's 36.66%.
BBC: Fleming a tough act to follow
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Australia will now hope for a rejuvenation in the style of previous teams led by Allan Border in the late 1980s and then with the likes of bowlers Glenn McGrath and Shane Warne demolishing opponents up until 2005.
BBC: Hilditch defends Australia selectors despite Ashes loss