Open Ball of Point Inside Open Ball/Metric Space/Illustration

Illustration of Open Ball of Point Inside Open Ball: Metric Space
This diagram illustrates the proof of Open Ball of Point Inside Open Ball: Metric Space in $M = \struct {\R^2, d_2}$:


 * NeighborhoodInNeighborhood.png

In $\R^2$, we can draw a circle of radius $\delta$ whose center is $y$ lying entirely within the larger circle of radius $\epsilon$ whose center is $x$.