Category:Definitions/Point-Circles

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This category contains definitions related to Point-Circles.
Related results can be found in Category:Point-Circles.


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

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

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


There is only one point in the Cartesian plane which satisfies $(1)$, and that is the point $\tuple {a, b}$.

It can be considered to be a circle whose radius is equal to zero.

Pages in category "Definitions/Point-Circles"

The following 3 pages are in this category, out of 3 total.