Algebraic Variety/Examples/Circle
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Example of Algebraic Variety
Consider the circle described by Equation of Circle in Cartesian Plane:
- $(1): \quad {x_1}^2 + {x_2}^2 - r^2 = 0$
whose radius is $r$.
Then the circle is the solution set of $(1)$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): algebraic variety
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): algebraic variety