Trisecting angles in an alternate topology

  • Thread starter Thread starter Loren Booda
  • Start date Start date
  • Tags Tags
    Angles Topology
Loren Booda
Messages
3,108
Reaction score
4
Is there any topology where it is possible to trisect an angle using only straight lines and circles?
 
Physics news on Phys.org
In other topologies, what do you mean by "straight lines" and "circles"? And how do measure angles?
 
Lines are curves such that between every pair of points on the line, the segment there is a minimal geodesic; circles are a set of points all equidistant on lines from a center point; angles are measured regarding the curvature from local triangles.

Changing the problem slightly, all of these constructs are assumed to be on an arbitrary two-dimensional manifold. Is there any such topology where it is possible to trisect an angle using only lines and circles?
 

Similar threads

I Maximal atlas of topological manifold
Replies
37
Views
3K
I Differential structures over a topological manifold
Replies
4
Views
939
A Alternative topology of our 3D space
Replies
1
Views
2K
A On the relationship between Chern number and zeros of a section
Replies
3
Views
3K
I Homemorphism in quotient topology
Replies
5
Views
553
Compass and straightedge angle construction
Replies
2
Views
3K
B Confusion with the basics of Topology (Poincare conjecture)
Replies
2
Views
3K
I Fiber bundle homeomorphism with the fiber
Replies
43
Views
5K
Standard topology is coarser than lower limit topology?
2
Replies
58
Views
4K
I Triangles on Spheres: Isosceles and Shortest Distance Inferences
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top