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Titlebook: Collineations and Conic Sections; An Introduction to P Christopher Baltus Book 2020 The Editor(s) (if applicable) and The Author(s), under

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书目名称Collineations and Conic Sections
副标题An Introduction to P
编辑Christopher Baltus
视频videohttp://file.papertrans.cn/230/229611/229611.mp4
概述Gives the necessary geometry to readers of limited background.Provides reader with a general history through the mid-nineteenth century.Features a proof-based treatment
图书封面Titlebook: Collineations and Conic Sections; An Introduction to P Christopher Baltus Book 2020 The Editor(s) (if applicable) and The Author(s), under
描述This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to:.The Projective Plane and Central Collineations.The Geometry of Euclid‘s .Elements.Conic Sections in Early Modern Europe.Applications of Conics in History.With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry..
出版日期Book 2020
关键词Desargues’ theorem; Euclid‘s Elements; ancient Greek mathematics; group properties; conics; Apollonius; ha
版次1
doihttps://doi.org/10.1007/978-3-030-46287-1
isbn_softcover978-3-030-46289-5
isbn_ebook978-3-030-46287-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Central Collineations: Properties, The collineation is . if there is a ., a point . where all lines on . are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an ..
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,The Geometry of Euclid’s ,,es, modern features that appeared as from nowhere. They may be related. There was the appearance of democracy, in Athens, around 500 BC. Around the same time philosophy emerged, reasoning by evidence and logical deduction about the great questions: what is our world made of, how and why does it chan
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Conic Sections in Early Modern Europe. Second Part: Philippe de la Hire on Conics,ne is a conic section. But he immediately moved beyond Apollonius, as had Desargues, by claiming that properties established for the base circle apply to the conic section. La Hire wrote in Philippe de La Hire (., Paris, 1673, p 15), following the first seventeen lemmas, “All that follows is a simpl
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Foci,celet wrote in his 1822 ., Art. 446: “Although the properties of foci (.) …seem to not be among those we have called ., …they follow nevertheless in a very simple manner from foundational principles ….”
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