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What does non-Euclidean geometry mean? [closed]
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Regardless of the fact that Euclid's 5th axiom can't be proven through other four axioms, i think our perception only can catch the 'flat' 3-dimensional space as a whole. What does non-Euclidean geometry mean?. Does non-euclidean geometry mean our perception is limited?. Or is it just human imagination?
noneuclidean-geometry
asked Aug 2 at 17:09
S. Choi
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closed as unclear what you're asking by amWhy, Qiaochu Yuan, Lord Shark the Unknown, Leucippus, Mostafa Ayaz Aug 2 at 17:54
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
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down vote
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Regardless of the fact that Euclid's 5th axiom can't be proven through other four axioms, i think our perception only can catch the 'flat' 3-dimensional space as a whole. What does non-Euclidean geometry mean?. Does non-euclidean geometry mean our perception is limited?. Or is it just human imagination?
noneuclidean-geometry
asked Aug 2 at 17:09
S. Choi
1
closed as unclear what you're asking by amWhy, Qiaochu Yuan, Lord Shark the Unknown, Leucippus, Mostafa Ayaz Aug 2 at 17:54
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08
add a comment |Â
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Regardless of the fact that Euclid's 5th axiom can't be proven through other four axioms, i think our perception only can catch the 'flat' 3-dimensional space as a whole. What does non-Euclidean geometry mean?. Does non-euclidean geometry mean our perception is limited?. Or is it just human imagination?
noneuclidean-geometry
asked Aug 2 at 17:09
S. Choi
1
Regardless of the fact that Euclid's 5th axiom can't be proven through other four axioms, i think our perception only can catch the 'flat' 3-dimensional space as a whole. What does non-Euclidean geometry mean?. Does non-euclidean geometry mean our perception is limited?. Or is it just human imagination?
noneuclidean-geometry
asked Aug 2 at 17:09
S. Choi
1
asked Aug 2 at 17:09
S. Choi
1
asked Aug 2 at 17:09
S. Choi
1
asked Aug 2 at 17:09
S. Choi
1
1
closed as unclear what you're asking by amWhy, Qiaochu Yuan, Lord Shark the Unknown, Leucippus, Mostafa Ayaz Aug 2 at 17:54
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by amWhy, Qiaochu Yuan, Lord Shark the Unknown, Leucippus, Mostafa Ayaz Aug 2 at 17:54
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08
add a comment |Â
Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08
Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08
add a comment |Â
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Try and draw a triangle on the surface of the Earth, or a smaller sphere, and measure the sum of the angles to see if that's $180$ degrees.
– Arnaud Mortier
Aug 2 at 17:12
You can easily perceive non-Euclidean geometry, say Spherical geometry. Go buy a toy globe with a grid on it. And look how, as long as nothing can leave this surface, no such thing as "parallel" lines exists in this globe. The meaning of distance is also different.
– Hamed
Aug 2 at 17:14
Then find a pass in the mountains and try the same there.
– Arnaud Mortier
Aug 2 at 17:15
"I think our perception only can catch the 'flat' 3-dimensional space as a whole." I strongly disagree with that claim.
– Noah Schweber
Aug 2 at 19:08