Henin, the event's defending champion and the No. 1 seed, rolled to a 6-4, 6-1 victory over Agnieszka Radwanska.
Mauresmo, who will soon be defending her Wimbledon championship, enjoyed a 6-2, 6-3 decision over Mara Santangelo. Henin will face Nicole Vaidisova in the quarterfinals and Mauresmo will play Shahar Peer.
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