meretricious 发表于 2025-3-25 07:11:33

Dilations of a Euclidean Plane (DLN),in an intricate process; these, in turn, are used to define dilations, which are shown to be belineations. A method is provided for point-wise construction of a dilation having a given action. A classical proposition attributed to Pappus of Alexandria is proved.

LIKEN 发表于 2025-3-25 07:37:46

Edward John Specht,Harold Trainer Jones,Donald H. Provides a complete and rigorous axiomatic treatment of Euclidean geometry..Proofs for many theorems are worked out in detail..Takes a modern approach by replacing congruence axioms with a transformat

嫌恶 发表于 2025-3-25 15:04:41

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CRAB 发表于 2025-3-25 19:08:15

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宽容 发表于 2025-3-25 21:23:34

https://doi.org/10.1057/9781137436719s of segments, rays, and lines that are needed for a coherent geometry. The remainder of the chapter is a study of the basic interactions between lines, angles, triangles, and quadrilaterals, comprising Pasch geometry.

暂时别动 发表于 2025-3-26 01:40:19

Bernard Burrows,Geoffrey Dentonpper bound, and lower bound of a subset of an ordered line are developed, as well as the connections between order, segments, and rays. Ordering will assume great importance in later chapters which develop the correspondence between a line and the set of all rational (or real) numbers.

观点 发表于 2025-3-26 05:42:06

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aptitude 发表于 2025-3-26 09:27:53

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Protein 发表于 2025-3-26 12:57:00

Mead on the Self and Moral Situations,e multiplication on such a line; when equipped with these operations, the line becomes a field (defined in Chapter 1 Section 1.5). An ordering of the line is defined, so that the line becomes an ordered field. These concepts are used to define distance between points, and the length of a segment.

amputation 发表于 2025-3-26 19:56:48

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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