|Apr10-10, 11:03 AM||#1|
Greetings PF, I do very much love lurking these forums for countless hours of leisure brain twisting. Infinite thanks for that.
A very simple question for you all. I believe the answer is 'true', however, I'm not formally educated in mathematics, so I feel a bit like I'm grabbing at straws here.
Is this statement true?
Euclidean geometry helps describe 3 dimensions in a 2 dimensional space whereas hyperbolic geometry helps describe 4 dimensions in a 3 dimensional space.
Can anyone off the top of their heads suggest further readings to develop a basic grasp of hyperbolic math? Especially as it relates to classical geometry such as, trig, calc and their included theorems. I'm finding it difficult to connect the dots myself especially in the sense of how sin relates to sinh, cos to cosh, et. al.
|Apr10-10, 12:19 PM||#2|
False. Or maybe nonsensical.
|Apr10-10, 01:38 PM||#3|
In general though n-dimensional hyperbolic geometry can be thought of as geometry on the boundary of a hyperboloid (a generalized hyperbola) in (n+1)-dimensional euclidean space.
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