In an exclusive new interview with U.S. news show Entertainment Tonight, former model Janice Dickinson said that she had gone to visit Cosby in California when he offered to help her with a planned singing career after she left rehab.
But, when she complained of stomach pains over dinner, Cosby allegedly offered her red wine and a pill, causing her to fall unconscious.
Janice said: "The next morning I woke up, and I wasn't wearing my pyjamas, and I remember before I passed out that I had been sexually assaulted by this man.
"Before I woke up in the morning, the last thing I remember was Bill Cosby in a patchwork robe, dropping his robe and getting on top of me.
"And I remember a lot of pain."
She added: "The next morning I remember waking up with my pyjamas off and there was semen in between my legs."
Janice said that she wrote about the assault in the first draft of her 2002 autobiography No Lifeguard on Duty: The Accidental Life of the World's First Supermodel, but claims Cosby and his lawyers pressured publishers at HarperCollins to remove the details.
She emotionally told Entertainment Tonight: "I didn't have counsel and I was afraid of the consequences. I was afraid of being labelled a whore or a slut and trying to sleep my way to the top of a career that never took place."
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Janice admitted that she has never confronted Cosby over the alleged incident, but insisted she wouldn't hold back if she met him again today.
She said furiously: "(I'd say) 'How dare you? Go f**k yourself.
"'How dare you take advantage of me? And I hope you rot'."
Janice Dickinson is the third woman to come forward with a sexual assault accusation against Cosby after comedian Hannibal Buress called the veteran entertainer a "rapist" during a stand-up show in October.
Publicist Joan Tarshis came forward with her own allegations against the comic on Monday (17Nov14), claiming he assaulted her on two occasions in 1969 after she drank a vodka and beer cocktail, which Cosby called a redeye. Like Dickinson, she claims she was unconscious during the alleged assault.
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Another reported victim, Barbara Bowman, wrote a piece for the Washington Post earlier this month detailing her alleged assault at the hands of Cosby in 1985, when she was 17.
She wrote, "In one case, I blacked out after having dinner and one glass of wine at his New York City brownstone, where he had offered to mentor me and discuss the entertainment industry.
"When I came to, I was in my panties and a man's T-shirt, and Cosby was looming over me. I’m certain now that he drugged and raped me. But as a teenager, I tried to convince myself I had imagined it."
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Cosby has refused to comment on the latest allegations, but his lawyer, John P. Schmitt, issued a statement on Sunday (16Nov14), which read: "Over the last several weeks, decade-old, discredited allegations against Mr. Cosby have resurfaced.
"The fact they are being repeated does not make them true. Mr. Cosby does not intend to dignify these allegations with any comment."
Cosby has never been charged with sexual assault.