- published: 15 Jun 2009
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In mathematics, an ellipse (from Greek ἔλλειψις elleipsis, a "falling short") is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis. An ellipse is also the locus of all points of the plane whose distances to two fixed points add to the same constant.
Ellipses are closed curves and are the bounded case of the conic sections, the curves that result from the intersection of a circular cone and a plane that does not pass through its apex; the other two (open and unbounded) cases are parabolas and hyperbolas. Ellipses arise from the intersection of a right circular cylinder with a plane that is not parallel to the cylinder's main axis of symmetry. Ellipses also arise as images of a circle under parallel projection and the bounded cases of perspective projection, which are simply intersections of the projective cone with the plane of projection. It is also the simplest Lissajous figure, formed when the horizontal and vertical motions are sinusoids with the same frequency.
Sidney K. "Sid" Meier (born February 24, 1954) is a Canadian-American programmer and designer of several popular strategy video games and simulation video games, most notably Civilization. Meier co-founded MicroProse in 1982 and is a Director of Creative Development for computer game developer Firaxis Games, which he co-founded with Jeff Briggs and Brian Reynolds in 1996. He has won several prestigious accolades for his contributions to the computer games industry.
Sid Meier was born in Sarnia, Ontario, Canada. He graduated from the University of Michigan.
Meier founded MicroProse together with Bill Stealey in 1982. MicroProse initially developed flight simulator video games, such as Silent Service and F-19 Stealth Fighter. In 1987, the company released Sid Meier's Pirates!, which also began a trend of placing Meier's name in the titles of his games. Meier later explained that the inclusion of his name was because of the dramatic departure in the design of Pirates! compared to the company's earlier games. Stealey decided that it would improve the company's branding, believing that it would make those who purchased the flight simulators more likely to play Pirates!. After the release of F-19 Stealth Fighter, Meier decided to focus on developing strategy games. He later said, "Everything I thought was cool about a flight simulator had gone into that game." Inspired by SimCity and Empire!, Meier created Railroad Tycoon and later the game series for which he is most widely recognized, Civilization, although he designed only the first installment. Meier eventually left MicroProse and in 1996 founded Firaxis Games along with veteran designer and gaming executive Jeff Briggs. Today Firaxis makes strategy games, many of which are follow-ups to Meier titles, such as Civilization V and Pirates!. In 1996 he was awarded US Patent 5,496,962 for a "System for Real-Time Music Composition and Synthesis" used in a product called "CPU Bach".