All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Circular map (Posted on 2006-11-15) Difficulty: 5 of 5
Let f be a one-to-one correspondence of the points in a plane. Prove or disprove the following statement:

"If f maps circles to circles, then it maps straight lines to straight lines."

See The Solution Submitted by JLo    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Question Question for JLo | Comment 7 of 29 |

If A and B are distinct points, then they determine a line m. f(A) and f(B) are distinct points that determine a line n. When you say that f maps lines to lines do you mean

n = { f(P) | P in m }

        or

{ f(P) | P in m } is a subset of n ?

Edited on November 16, 2006, 5:41 pm
  Posted by Bractals on 2006-11-16 17:37:48

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information