The eight-time champion earned his latest win with maximum efficiency on Center Court, particularly during a 16-minute first set, where the top-seeded Federer lost just five points.
The 13th-seeded Julia Goerges of Germany has reached her first Grand Slam quarterfinal and faces former French Open semifinalist Kiki Bertens, who has also reached the last eight at Wimbledon for the first time.
Three-time champion Novak Djokovic, seeded a lowly 12 this year, can make his 10th Wimbledon quarterfinal if he defeats unseeded Karen Khachanov, the world No. 40 from Russian Federation. 'I am enjoying and playing well.
Three-time Wimbledon champion John McEnroe said it was a "privilege" to still be able to see the Swiss marvel strut his stuff on tennis's most famous centre court and, a month shy of his 37th birthday, Federer said he could barely believe it either. He made it and also, in a fantastic way.' Nadal himself said: 'I am not thinking every day about that final.
"If you ask me if I prefer another one, I say yes. That's the point. It's about being smart, no?"
Goerges had to do it the hard way after coming from a set down against the Dutch No.20 seed to win 3-6 7-5 6-1 and set up a showdown with the formidable Serena Williams.
Isner rode his big serve to advance over the Greek teenager 6-4, 7-6 (8), 7-6 (4). Back in 2008, Nike were so sure the pair would meet in the US Open final that even before the event started they launched an advertising campaign trailing the match.
"I think it's a pretty exciting opportunity to play Federer here at Wimbledon", Anderson, who has served 96 aces in four rounds, told reporters. I remember because the court was, like, there was no grass any more.
"Certainly this tournament, since that long match, has sort of been a house of horrors for me", Isner said.
Kevin Anderson also advanced to his first Wimbledon quarterfinal. He went on to cement his own legendary status with a supreme 2015 showing, which ended with an 80-6 record and featured a second successive Wimbledon final win over Federer, before he "completed" tennis a year later when a French Open success delivered a career Grand Slam.
Williams is looking for her eighth Wimbledon title and has established herself as the big favorite once again, with the top-10 seeds all eliminated.
Standing in the way yet could be fourth-seeded Juan Martin del Potro in the quarterfinals - the Argentine's fourth-round match was suspended with him holding a 2-1 set lead - and then possibly three-time champion Djokovic in the semifinals. The 27-year-old Canadian, runner-up to Andy Murray in 2016, triumphed 6-3, 6-4, 6-7 (5/7), 6-2.
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