Five-time champion Venus Williams battled into the third round with a 4-6, 6-0, 6-1 win over Romanian qualifier Alexandra Dulgheru.
The Swiss legend is competing in his 20th Wimbledon and he has played 104 matches in that time.
At one point, Federer had won 35 consecutive points on his serve.
Federer made 48 winners against 11 unforced errors and cleaned up in the second set, as he did not drop a single point on his serve.
There was something old, something new and something blue on show on Monday as Serena Williams swapped the skin-tight catsuit that caused a stir in Paris for a more conservative look on her return to Wimbledon for the first time since becoming a mum. Today's players have continued to smash stereotypes, as an increasing amount of tennis professionals have resorted to plant-based diets to fuel their career and improve their health. Not wasting too much energy in the first matches is nice to have. But she was broken again in the final game, becoming the fifth of the top eight women's seeds to lose before the third round.
Serena Williams' road to her record-tying 24th Grand Slam title is well underway at Wimbledon and she's navigating the scene with her daughter Alexis Olympia Jr.by her side.
The Danish second seed struggled in the first set, losing it 6-4, but bounced back to take the game to a decider after winning the second 6-1.
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President Nieto, who took office in 2012, continued this trend, going out of his way to please his American counterparts. We have a border of more than 3,000 kilometres, more than 12 million Mexicans live in the United States.
In the first round, she started by conceding a tiebreaker against 58th-ranked Johanna Larsson before taking 12 of the last 15 games.
Two straightforward, straight-sets victories sets up her third round contest with World No. 120, Rodina.
Karolina Pliskova avoided an early exit against two-time Wimbledon semi-finalist Victoria Azarenka.
The balance shifts back to the men on Thursday, when five men's matches are scheduled on the two feature courts compared with two women's matches.
The 30-year-old Makarova took down Wozniacki 6-4, 1-6, 7-5 to bring the Danish star's tournament to a surprisingly quick conclusion.