Hyperbolic Geometry

[geomad118]

I have been trying to prove that "rectangles do not exist" in hyperbolic geometry.

So far I have come up with this but it is incomplete and seems to prove rectangles exist. Please help.

draw ⊥AB to line b and then draw a line c through A ⊥ to AB. Then we can draw D as any other point on line b drawing the ⊥ a to b going through D. C is at the bottom of the ⊥ to a through A. Since AC and line b are ⊥ they do not cross each at any point.

[Denis]

I find it gives me a migraine reading what you wrote, so go here:
http://mathdl.maa.org/images/upload_lib ... ectang.htm

[Subhotosh Khan]

I have been trying to prove that "rectangles do not exist" in hyperbolic geometry.

So far I have come up with this but it is incomplete and seems to prove rectangles exist. Please help.

draw ⊥AB to line b and then draw a line c through A ⊥ to AB. Then we can draw D as any other point on line b drawing the ⊥ a to b going through D. C is at the bottom of the ⊥ to a through A. Since AC and line b are ⊥ they do not cross each at any point.

Your construction can only show that the rectangles (in Hyperbolic space) cannot be drawn that way - it wll not prove that those don't exist. You need to do more research.

[Edith]

Why don't you discuss it with an online math tutor? There are many like SPAM and SPAM . You can contact them.<<< And pay for their services - along with whoever is inserting these spams.