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Angle Trisection (Posted on 2002-06-19) Difficulty: 5 of 5
How can you divide an angle into 3 equal angles? You may only use a straightedge and a compass to achieve this.

(This means : You have an angle A, you divide Angle A into 3 Angles B,C,D. And B=C=D=A/3)

Note: vohonam clarified that the problem actually only gives you a straightedge, not a ruler.

  Submitted by vohonam    
Rating: 3.8889 (9 votes)
Solution: (Hide)
This is one of the ancient geometric problems that people have been puzzling about.

While it can be solved given a precise ruler with the use of trigonometry, no solution has yet been found with just a straightedge.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Wasted yoothPercy2005-08-23 01:01:00
ReferenceRichard2005-05-30 02:43:40
Some ThoughtsMy past solution does not apply...Antonio2003-09-04 06:55:02
SolutionSolutionAntonio2003-09-04 06:15:00
Trial and errorBryan2003-04-03 13:15:34
re(2): eureka!!!!! part 2! (Sorry)James2002-10-26 15:07:01
re: eureka!!!!! part 2! (Sorry)TomM2002-10-26 03:57:23
eureka!!!!! part 2!James2002-10-25 20:30:50
Solutioneureka!!!!!James2002-10-25 20:30:10
re(9): The next problem after this...Happy2002-06-21 04:30:02
re(8): The next problem after this...Nick Reed2002-06-20 23:07:31
Some ThoughtsThis was an old problem long time ago. It seems impossible to prove. If someone can solve this. I really appreciate.vohonam2002-06-20 18:25:09
Questionre(7): The next problem after this...levik2002-06-20 16:07:54
re(6): The next problem after this...Happy2002-06-20 11:18:32
re(5): The next problem after this...Nick Reed2002-06-20 11:07:11
Questionre(4): The next problem after this...levik2002-06-20 10:50:38
re(3): The next problem after this...friedlinguini2002-06-20 08:22:56
re(2): The next problem after this...Happy2002-06-20 07:45:24
re: The next problem after this...friedlinguini2002-06-20 05:47:04
The next problem after this...Happy2002-06-20 05:31:55
Questionre: Solution, sorta.levik2002-06-20 04:27:32
Some ThoughtsSolution, sorta.friedlinguini2002-06-20 03:21:19
Some ThoughtsThis is an unsolved problem from the past.vohonam2002-06-19 17:44:47
re(2): Is it true...TomM2002-06-19 15:53:11
re: Is it true...TomM2002-06-19 15:48:57
Some ThoughtsIs it true...Dulanjana2002-06-19 15:30:37
Hints/Tips"Ruler"TomM2002-06-19 10:42:27
100 Problems!!!!levik2002-06-19 08:37:05
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