拖网
发表于 2025-3-25 04:57:51
Von der Zerlegung der Zahlen in Teile,uch a surface would resemble ℝ. when extended indefinitely, even if small parts of it matched small parts of ℝ. with absolute precision. Indeed, we may never know enough about the large-scale structure of the universe to say what an unbounded flat surface would really be like. What we can do, however, is find which flat surfaces are . possible.
猛烈责骂
发表于 2025-3-25 09:09:14
https://doi.org/10.1007/978-3-662-25901-6 local isometry between the line and the unit circle. The sphere, on the other hand, is . locally isometric to the plane, hence it is of interest as a self-contained structure. This intrinsic structure makes the sphere the first example of a non-euclidean geometry.
自由职业者
发表于 2025-3-25 12:34:35
,Die Größenordnung der Kardinalzahlen,d-for-word (provided “line”, “distance” etc., are understood in the hyperbolic sense), showing that any complete, connected hyperbolic surface is of the form ℍ./Γ, where Γ is a discontinuous, fixed point free group of ℍ.-isometries.
FOLLY
发表于 2025-3-25 16:45:51
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faddish
发表于 2025-3-25 22:56:39
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Immunization
发表于 2025-3-26 02:42:13
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凌辱
发表于 2025-3-26 04:52:48
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BALK
发表于 2025-3-26 11:44:47
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geometrician
发表于 2025-3-26 13:51:38
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insipid
发表于 2025-3-26 20:44:54
Planar and Spherical Tessellations,ges). The isometries of . onto itself are called . of ., and they form a group called the . of . Thus, we are defining . to be symmetric if its symmetry group contains enough elements to map any tile onto any other tile.