"A set in the plane is called a(adsbygoogle = window.adsbygoogle || []).push({}); regionif it satisfies the following two conditions:

1. Each point of the set is the center of a circle whose entire enterior consists of points of the set.

2. Every two points of the set can be joined by a curve which consists entirely of points of the set."

I'm having trouble understanding the meaning of the first condition. Can someone please try to explain it in different words?

The way I'm understanding it, it seems to say that only an entire plane can be a region. (But this is obviously incorrect?)

How does the first condition allow for a bounded region?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Regions; "Each point of the set is the center of a circle "

Loading...

Similar Threads - Regions Each point | Date |
---|---|

B Consecutive integers, each relatively prime to some k | Apr 8, 2016 |

Surface area of a region of a torus | Feb 6, 2015 |

Constraints of an L-shaped feasible region | Oct 12, 2014 |

Random Walk in confined region and loop configurations | Sep 19, 2013 |

Derivative of piecewise function(split in 3 regions) | Aug 12, 2013 |

**Physics Forums - The Fusion of Science and Community**