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An Introduction to Transformational Geometry

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Author(s): F. M. Eccles
Publisher: Addison-Wesley Educational Publishers Inc
Year: 1971

Language: English
Pages: 184
Tags: Математика;Высшая геометрия;

Cover......Page __sk_0000.djvu
Copyright......Page __sk_0002.djvu
Contents......Page __sk_0005.djvu
Preface......Page __sk_0003.djvu
1.1 Introduction......Page __sk_0007.djvu
1.2 Functions......Page __sk_0011.djvu
1.3 Transformations......Page __sk_0017.djvu
1.4 Isometries......Page __sk_0023.djvu
1.5 Additional Properties of Isometries......Page __sk_0029.djvu
1.6 Direct and Opposite Isometries......Page __sk_0036.djvu
2.1 Mappings Taken in Succession......Page __sk_0045.djvu
2.2 Inverse Transformations......Page __sk_0057.djvu
2.3 Half Turns......Page __sk_0066.djvu
2.4 Half Turns, Continued......Page __sk_0072.djvu
2.5 Directed Segments......Page __sk_0081.djvu
2.6 Translations......Page __sk_0088.djvu
2.7 The Closure of Translations......Page __sk_0097.djvu
3.1 Rotations......Page __sk_0107.djvu
3.2 Products of Rotations......Page __sk_0118.djvu
3.3 Glide Reflections......Page __sk_0127.djvu
3.4 The Uniqueness Theorem for Isometries......Page __sk_0135.djvu
3.5 The Fundamental Isometry Theorem......Page __sk_0144.djvu
4.1 Dilations......Page __sk_0153.djvu
4.2 Compositions Involving Dilations......Page __sk_0162.djvu
4.3 The Similitude Determination Theorem......Page __sk_0170.djvu
4.4 Affinities......Page __sk_0175.djvu