The Swiss and the Scot moved one win apiece from their anticipated quarterfinal, while Dimitrov reached the second week of a major for the first time.
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The two former No. 1s prevailed in straight sets but not before weathering significant tests from their opponents.
The third-ranked man and fourth-ranked woman faced sterner resistance than the other top seeds at the Australian Open today.
The world No. 1 and the top-ranked German faced little resistance en route to the second week of the Australian Open.
Both halves of the sport’s greatest rivalry dominated opponents en route to the third round of the Australian Open.
The 2008 champion refused to fold against world No. 72 Karin Knapp, who threw everything in her arsenal at her.
Two of the leading Americans solved the heat smoothly, while Gasquet survived until he thrived.
The two former No. 1s never found their best form but managed the conditions with poise.
Many of the home hopes in Melbourne have exceeded modest expectations so far.
One former No. 1 survived, as did the tireless Spaniard, but another former No. 1 was less fortunate.