Is it possible to place circles in the plane so that any straight

This is a blue board which means that it's for everybody (Safe For Work content only). If you see any adult content, please report it.

Thread replies: 3
Thread images: 1

Anonymous
2017-09-16 10:48:18 Post No. 9171770
[Report] Image search: [Google]

File: uf0zzjbdvzlz.jpg (171KB, 1024x768px) Image search: [Google]

171KB, 1024x768px

Anonymous 2017-09-16 10:48:18 Post No. 9171770 [Report]

Is it possible to place circles in the plane so that any straight line passes through at least 1 circle and at most 100 circles?

Anonymous 2017-09-16 12:27:20 Post No.9171887
[Report]

Anonymous 2017-09-16 12:27:20 Post No.9171887 [Report]

>>9171770
Yes.
Place 100 cocentric circles on the plane where the circle with the largest diameter defines the extent of the plane.

This is a hack though since a plane is normally defined as having an infinite extent. Oh: homework?

Anonymous 2017-09-16 12:36:04 Post No.9171893
[Report]

Anonymous 2017-09-16 12:36:04 Post No.9171893 [Report]

Let Xn = (0.5n,0)
and Yn = (0,0.5n)
then define
Sn = B(Xn,0.6)
Zn = B(Yn,0.6)
Intuitively it is obvious no line exists that doesn't intersect one of these circles. Can you prove it?

Is it possible to place circles in the plane so that any straight

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible. Read more on this topic here - https://archived.moe/talk/thread/1694/

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/