Algebraic Variety/Examples/Circle

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