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標(biāo)題: Titlebook: Geometry Through History; Euclidean, Hyperboli Meighan I. Dillon Textbook 2018 Springer International Publishing AG, part of Springer Natur [打印本頁]

作者: melancholy    時間: 2025-3-21 16:27
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作者: extinct    時間: 2025-3-22 00:07
https://doi.org/10.1007/978-3-319-74135-2Euclidean geometry; neutral geometry; hyperbolic planes; projective geometry; affine geometry; algebraic
作者: eustachian-tube    時間: 2025-3-22 02:47

作者: OWL    時間: 2025-3-22 07:59
Paul Sellnick,Ernst Heimard Cludiusulate. There are two possibilities: the Euclidean case, where every triangle is Euclidean, and the hyperbolic case, where every triangle has a positive angular defect. In this chapter, we consider properties of the plane in the latter case.
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作者: SEED    時間: 2025-3-22 15:29

作者: SEED    時間: 2025-3-22 19:05
Hermann Schichl,Roland Steinbauern a circular arc. It is hard to imagine a rotation without a journey, but for the most part, we care about where things start and where they end up, not how they actually found their way to their final positions.
作者: 冥想后    時間: 2025-3-22 23:48

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作者: 遍及    時間: 2025-3-23 08:50
An Introduction to Projective Geometry,he first treatise on the subject but it did not develop into one of the building blocks of modern mathematics until late in the nineteenth century. Nowadays, projective geometry is part of the everyday working tool set for mathematicians in geometry, topology, and algebra. It is also of interest in its own right.
作者: 摻假    時間: 2025-3-23 11:09

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作者: 滋養(yǎng)    時間: 2025-3-23 20:17
https://doi.org/10.1007/978-3-663-14166-2years to resolve the problem of the parallels, the result of that process was a sea change in both mathematics and physics. While it was the subject of a struggle, the problem of the parallels seemed an intractable monster, devouring egos, relationships, and careers, threatening to destabilize mathe
作者: FISC    時間: 2025-3-23 22:31
Paul Sellnick,Ernst Heimard Cludiusulate. There are two possibilities: the Euclidean case, where every triangle is Euclidean, and the hyperbolic case, where every triangle has a positive angular defect. In this chapter, we consider properties of the plane in the latter case.
作者: 巧思    時間: 2025-3-24 05:20

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作者: 槍支    時間: 2025-3-24 13:47

作者: jovial    時間: 2025-3-24 18:18
https://doi.org/10.1007/978-3-322-98808-9uclidean geometry. This is a simple, accessible idea, and affine spaces are ubiquitous in mathematics. Second, affine geometry is based on linear algebra, which is fundamental in applications and in mathematics more generally. An introduction to affine geometry thus gives us an excuse to profer a qu
作者: labyrinth    時間: 2025-3-24 20:59

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作者: 脾氣暴躁的人    時間: 2025-3-25 14:45
Textbook 2018t assumes only a year of college mathematics as it builds towards its conclusion with algebraic curves and quaternions. Euclid’s work has affected geometry for thousands of years, so this text has something to offer to anyone who wants to broaden their appreciation for the field..
作者: Cardioplegia    時間: 2025-3-25 16:50
Neutral Geometry,f a struggle, the problem of the parallels seemed an intractable monster, devouring egos, relationships, and careers, threatening to destabilize mathematics itself. Yet in retrospect, the struggle was so fruitful and its resolution so startling that the problem itself seems a gift.
作者: Embolic-Stroke    時間: 2025-3-25 20:58

作者: Etymology    時間: 2025-3-26 00:25

作者: Fester    時間: 2025-3-26 06:17
Algebraic Curves,confine our attention to algebraic plane curves, that is, curves given by the zero sets associated to polynomials over . in two variables. Our goal is to appreciate Bézout’s Theorem for plane curves, one of the cornerstones of the subject.
作者: euphoria    時間: 2025-3-26 12:17

作者: stress-test    時間: 2025-3-26 15:45
,Das System der doppelten Buchführung,s naturally associated to triangles, typifies work done in Euclidean geometry in Europe during the eighteenth and nineteenth centuries. With circular inversion and the nine point circle as goals, our journey winds naturally through some favorite classical ideas in Euclidean geometry.
作者: GROG    時間: 2025-3-26 19:49
The Elements of Euclid,bjects of study. In differential geometry, for example, the objects are curves and surfaces in complex space and the tools arise largely from differential calculus. Algebraic geometry is the study of objects that can be described using rational functions and the tools arise typically, but not always, from modern algebra.
作者: Confidential    時間: 2025-3-26 23:32
More Euclidean Geometry,s naturally associated to triangles, typifies work done in Euclidean geometry in Europe during the eighteenth and nineteenth centuries. With circular inversion and the nine point circle as goals, our journey winds naturally through some favorite classical ideas in Euclidean geometry.
作者: 信條    時間: 2025-3-27 04:51
Textbook 2018 influence of Euclid’s system of geometry, as developed in his classic text .The Elements., through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and proof methods used by mathematicians from those periods are explored alongside the problems in Euclid
作者: 山羊    時間: 2025-3-27 08:29
aic curves and quaternions.Reinforces historical results wit.Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid’s system of geometry, as developed in his classic text .The Elements.
作者: 蠟燭    時間: 2025-3-27 12:16
https://doi.org/10.1007/978-3-663-14166-2f a struggle, the problem of the parallels seemed an intractable monster, devouring egos, relationships, and careers, threatening to destabilize mathematics itself. Yet in retrospect, the struggle was so fruitful and its resolution so startling that the problem itself seems a gift.
作者: REP    時間: 2025-3-27 17:22

作者: chandel    時間: 2025-3-27 20:35

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作者: ostensible    時間: 2025-3-28 19:46

作者: 吞吞吐吐    時間: 2025-3-28 23:27
Models for the Hyperbolic Plane,, the real plane, ., is the archetype of a model for an axiomatic system, in this case, that of the Euclidean plane. The existence of a model for an axiomatic system is proof that the system is consistent.
作者: palliative-care    時間: 2025-3-29 03:38

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作者: 季雨    時間: 2025-3-29 13:59





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