WIMBLEDON, England — Even on one good leg, Venus Williams is tough to beat at Wimbledon.

The five-time champion wore a strap on her left knee Thursday but still advanced to the third round by beating Kateryna Bondarenko 6-3, 6-2.

The tournament favorite, Williams has been hampered by knee trouble in the past, but there was no indication of a problem this week until she walked onto sunny Court 1 bandaged from mid-calf to mid-thigh.

Williams let out a yelp when she appeared to pull up on a backhand in the third game, perhaps because of the knee. Otherwise she moved across the grass freely, charging forward to pounce on short balls. She won 17 points at the net to two for Bondarenko.

The No. 3-seeded Williams lost only six points on her serve, two on double-faults. She slammed three aces in her first service game and finished with six.

She was just as ferocious with her returns. When one serve came at Williams slower than a lorry on the motorway, she eagerly stepped into the court, took a lusty swing and hit a winner.

That took her to set point in the first set, and she whacked another big return on the next point to win the set. There was no letup from there, and she swept the final four games.

Williams' younger sister, budding scriptwriter Serena, advanced to the third round by beating Jarmila Groth 6-2, 6-1. Serena is seeking her third Wimbledon title and her first since 2003.

"I should have won more than twice here," she said. "Hopefully I can rectify that this year."

The victory took only 57 minutes, leaving Williams with lots of time to get back to the TV script treatment she has in the works.

"You'll be excited to know I wrote three parts already," she said. "I was going to do it (Tuesday), but I started watching 'Dexter' and I got a little sidetracked. You know what, today's a good day. I can write. For me it's really about being in the mood, and how I'm feeling."

Williams said the script borrows from some of her favorite shows, including "Desperate Housewives," ''Sex and the City" and "Family Guy."

Williams always keeps busy. She's an actress, a clothing designer and the winner of 10 Grand Slam titles, most recently this year's Australian Open. She writes a blog — in one entry this week, she complained about Wimbledon rules prohibiting food in the players' locker rooms. She has a ghostwritten autobiography due this year.

And now she wants to write for television.

"Definitely for TV," she said. "I don't know how good I would be at writing a movie. But I just love to write."

Sister Venus gave her a book on script writing to help. Serena's agent also offered advice.

And how would she craft a script of the Serena Williams story?

"There are definitely so many options," she said. "I think I would open a scene holding a championship, and then I would rewind time. I think those stories are told well."

One possible Wimbledon plot has Williams facing Venus in the final.

"I wouldn't want anything less for me or for my sister," Serena said.