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The curvature at each point of a line is defined to be 1/r, where r is the radius of the osculating, or “kissing,” circle that best approximates the line at the given point. The normal, or perpendicular, at each point of a surface defines the corresponding tangent plane, and vice versa. curved space-time intrinsic curvature of a surface
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Close up of books. Stack of books, pile of books, literature, reading. Homepage 2010, arts and entertainment, history and society
12 Novels Considered the “Greatest Book Ever Written”
King Cobra snake in Malaysia. (reptile)
9 of the World’s Deadliest Snakes
Shadow of a man holding large knife in his hand inside of some dark, spooky buiding
7 of History's Most Notorious Serial Killers
Portrait of a mountain gorilla at a short distance. gorilla close up portrait.The mountain gorilla (Gorilla beringei beringei)
Falling Stars: 10 of the Most Famous Endangered Species
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7 of the World’s Deadliest Plants
Drinking water is poured into a glass.
Water Fluoridation: Just the Facts
Internet http://www blue screen. Hompepage blog 2009, history and society, media news television, crowd opinion protest, In the News 2009, breaking news
Who Invented the Internet?

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Photos

The curvature at each point of a line is defined to be 1/r, where r is the radius of the osculating, or “kissing,” circle that best approximates the line at the given point.
The normal, or perpendicular, at each point of a surface defines the corresponding tangent plane, and vice versa.
curved space-time
intrinsic curvature of a surface
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Key People

Gaspard Monge, detail of an oil painting by Jean Naigeon, 1811; in the Museum of Fine Arts, Beaune, France.
Gaspard Monge, count de Péluse
French mathematician and public official