| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
Gauss proved that a regular n-gon can be inscribed in a circle with straight-edge and compass iff n=m(2**r) where m=p1*p2*...*pk and each pi is a prime number of the form pi=1+2**(2**t). So it should be possible to inscribe a regular 15-gon in a given circle since 15=(2**0)*3*5. Does anyone know a method of constructing a regular 15-gon in a given circle? Thanks, Stephen Barkley.
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 995.2 | HERON::BUCHANAN | Andrew @vbo/dtn8285805/ARES,HERON | Sun Dec 18 1988 16:39 | 12 | |
> -< Inscribing a regular 15-gon >- > iff n=m(2**r) where m=p1*p2*...*pk and > each pi is a prime number of the form pi=1+2**(2**t). All the pi must be distinct, as well > Does anyone know a method of constructing a regular 15-gon in a given > circle? Construct 5-gon, then for each point construct 3-gon including that point. Andrew. | |||||
| 995.3 | Great! Thanks for the quick response. | KAOA12::BARKLEY | Steve Barkley | Sun Dec 18 1988 19:02 | 1 |