绕着哥哥问 发表于 2025-3-30 08:39:27

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你敢命令 发表于 2025-3-30 12:38:09

https://doi.org/10.1007/978-3-642-69952-8uclidean/LUB plane (which has been built into an ordered field) real multiples of points are defined and their algebraic properties derived. These properties are used to show the existence of an order-preserving isomorphism between the set of all real numbers and the whole line. The chapter ends wit

rheumatology 发表于 2025-3-30 18:27:49

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HEW 发表于 2025-3-30 20:57:45

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尾巴 发表于 2025-3-31 02:12:35

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灰姑娘 发表于 2025-3-31 08:44:18

SpringerBriefs in Earth SciencesA belineation is a bijection of a plane that preserves betweenness. This chapter shows that every belineation on a Pasch plane is a collineation, and explores the interactions between belineations and segments, rays, lines, sides of a line, angles, and triangles.

名字的误用 发表于 2025-3-31 11:28:30

Basics of Learning Devotional Hindu Dance,This chapter defines point rotations and point reflections (about a point .) on a neutral plane, and derives their elementary properties to the extent possible without a parallel axiom. It ends with a classification of isometries of a neutral plane, and proof of the existence of a “square root” of a rotation.

FLIRT 发表于 2025-3-31 15:22:59

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Obedient 发表于 2025-3-31 19:24:04

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淘气 发表于 2025-4-1 01:17:06

,Schlussbetrachtung – Resümee und Ausblick,This brief chapter shows that on a Euclidean/LUB plane, any non-identity belineation which has more than one fixed point and is not the identity, is an axial affinity; it concludes with a classification of belineations. To prove the main result of this chapter we need Axiom LUB; this explains its placement after the chapter on real numbers.
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查看完整版本: Titlebook: Euclidean Geometry and its Subgeometries; Edward John Specht,Harold Trainer Jones,Donald H. Book 2015 Springer International Publishing S