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Titlebook: Geometry; A Metric Approach wi Richard S. Millman,George D. Parker Textbook 19811st edition Springer-Verlag Inc. 1981 Cartesian.Euclid.Geom

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31#
發(fā)表于 2025-3-27 00:56:24 | 只看該作者
32#
發(fā)表于 2025-3-27 02:09:21 | 只看該作者
https://doi.org/10.1007/978-3-663-07179-2ned two segments to be parallel if no matter how far they are extended in both directions, they never meet. Note that he was interested in . rather than .. This follows the general preference of the time for finite objects. The idea of . meeting is, however, infinite in nature. How then does one determine if two lines are parallel?
33#
發(fā)表于 2025-3-27 05:26:07 | 只看該作者
Diskussion der Versuchsergebnisse, We shall be interested in, among other things, the sum of the measures of the angles of a triangle, in the behavior of the critical function, in classifying types of parallel Unes, and in the determination of an absolute unit of length.
34#
發(fā)表于 2025-3-27 10:37:52 | 只看該作者
https://doi.org/10.1007/978-3-663-07183-9 object to another. Such functions are most interesting when they preserve special properties of the objects. If . = {.,?,.} and .′ = {.′,?′,.} are metric geometries and if ?:.→.′; is a function, what geometric properties could we reasonably require ? to have?
35#
發(fā)表于 2025-3-27 17:15:28 | 只看該作者
36#
發(fā)表于 2025-3-27 19:00:42 | 只看該作者
37#
發(fā)表于 2025-3-28 01:13:40 | 只看該作者
38#
發(fā)表于 2025-3-28 02:21:39 | 只看該作者
The Theory of Parallels,ned two segments to be parallel if no matter how far they are extended in both directions, they never meet. Note that he was interested in . rather than .. This follows the general preference of the time for finite objects. The idea of . meeting is, however, infinite in nature. How then does one determine if two lines are parallel?
39#
發(fā)表于 2025-3-28 09:55:41 | 只看該作者
40#
發(fā)表于 2025-3-28 12:29:46 | 只看該作者
The Theory of Isometries, object to another. Such functions are most interesting when they preserve special properties of the objects. If . = {.,?,.} and .′ = {.′,?′,.} are metric geometries and if ?:.→.′; is a function, what geometric properties could we reasonably require ? to have?
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