The club's directors, moved by Mr Brower's desire to remedy his original error, went along with him.
Brower served as the first executive director of the Sierra Club, a position he held from 1952 through 1969.
Using an existing result from calculus called Brower's Fixed-Point Theorem, they proved that at least one solution could be found.
In 1982, Brower founded the Earth Island Institute, an organization that works to bring peace, environmental and social justice together.
The truth about Brock Brower, an experienced freelance journalist, is that he must now be reckoned with as an extraordinarily capable novelist.
Others besides Mr Brower and the Sierra Club support draining the lake.
When Brock Brower wrote an ingenious novel about the world of horror movies, he never knew it would become a vampire, refusing to die.
BERKELEY, California (CNN) -- David Brower, who helped to shape the face of the environmental movement, died at his home in Berkeley, California, on Sunday night.
Brower has been nominated for the Nobel Peace Prize three times -- in 1978, 1979, and 1998 -- jointly with Professor Paul Ehrlich of Stanford University.
Richard Ingebretsen, president of the Glen Canyon Institute in Salt Lake City, says that his group pushed Mr Brower into campaigning for what is, he believes, the largest environment-restoration project America has yet seen.
Through the years, Brower had a profound impact on America's wildlands by helping to create national parks and seashores in Kings Canyon, the North Cascades, the Redwoods, Great Basin, Alaska, Cape Cod, Fire Island and Point Reyes.
An organisation that usually pays close attention to the views of its rank and file, the club took its decision to support the draining of Lake Powell after an appeal from the elderly Mr Brower, something of a legend in environmental circles.
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