Definition:Virtual Circle

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Definition

A virtual circle is the locus in the Cartesian plane of an equation of the form:

$(1): \quad \paren {x - a}^2 + \paren {y - b}^2 + r^2 = 0$

where $a$, $b$ and $r$ are real constants.


There are no solutions to $(1)$ in real numbers, and so the locus of $(1)$ consists entirely of imaginary points.


Also see


Sources