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EBOOKCENTRAL_on1347027565 |
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OCoLC |
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20240329122006.0 |
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m o d |
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230209s2014 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCL
|d OCLCQ
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| 020 |
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|a 9781118679142
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| 020 |
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|a 1118679148
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| 035 |
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|a (OCoLC)1347027565
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| 082 |
0 |
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|a 516
|q OCoLC
|2 23/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Leonard, I. E.
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| 245 |
1 |
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|a Classical Geometry
|h [electronic resource] :
|b Euclidean, Transformational, Inversive, and Projective.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2014.
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| 300 |
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|a 1 online resource (413 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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| 505 |
0 |
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|a Intro -- Half Title page -- Title page -- Copyright page -- Preface -- Part I: Euclidean Geometry -- Chapter 1: Congruency -- 1.1 Introduction -- 1.2 Congruent Figures -- 1.3 Parallel Lines -- 1.4 More About Congruency -- 1.5 Perpendiculars and Angle Bisectors -- 1.6 Construction Problems -- 1.7 Solutions to Selected Exercises -- 1.8 Problems -- Chapter 2: Concurrency -- 2.1 Perpendicular Bisectors -- 2.2 Angle Bisectors -- 2.3 Altitudes -- 2.4 Medians -- 2.5 Construction Problems -- 2.6 Solutions to the Exercises -- 2.7 Problems -- Chapter 3: Similarity -- 3.1 Similar Triangles
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| 505 |
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|a 3.2 Parallel Lines and Similarity -- 3.3 Other Conditions Implying Similarity -- 3.4 Examples -- 3.5 Construction Problems -- 3.6 The Power of a Point -- 3.7 Solutions to the Exercises -- 3.8 Problems -- Chapter 4: Theorems of Ceva and Menelaus -- 4.1 Directed Distances, Directed Ratios -- 4.2 The Theorems -- 4.3 Applications of Ceva's Theorem -- 4.4 Applications of Menelaus' Theorem -- 4.5 Proofs of the Theorems -- 4.6 Extended Versions of the Theorems -- 4.7 Problems -- Chapter 5: Area -- 5.1 Basic Properties -- 5.2 Applications of the Basic Properties
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| 505 |
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|a 5.3 Other Formulae for the Area of a Triangle -- 5.4 Solutions to the Exercises -- 5.5 Problems -- Chapter 6: Miscellaneous Topics -- 6.1 The Three Problems of Antiquity -- 6.2 Constructing Segments of Specific Lengths -- 6.3 Construction of Regular Polygons -- 6.4 Miquel's Theorem -- 6.5 Morley's Theorem -- 6.6 The Nine-Point Circle -- 6.7 The Steiner-Lehmus Theorem -- 6.8 The Circle of Apollonius -- 6.9 Solutions to the Exercises -- 6.10 Problems -- Part II: Transformational Geometry -- Chapter 7: The Euclidean Transformations or Isometries -- 7.1 Rotations, Reflections, and Translations
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| 505 |
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|a 7.2 Mappings and Transformations -- 7.3 Using Rotations, Reflections, and Translations -- 7.4 Problems -- Chapter 8: The Algebra of Isometries -- 8.1 Basic Algebraic Properties -- 8.2 Groups of Isometries -- 8.3 The Product of Reflections -- 8.4 Problems -- Chapter 9: The Product of Direct Isometries -- 9.1 Angles -- 9.2 Fixed Points -- 9.3 The Product of Two Translations -- 9.4 The Product of a Translation and a Rotation -- 9.5 The Product of Two Rotations -- 9.6 Problems -- Chapter 10: Symmetry and Groups -- 10.1 More About Groups -- 10.2 Leonardo's Theorem -- 10.3 Problems
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| 505 |
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|a Chapter 11: Homotheties -- 11.1 The Pantograph -- 11.2 Some Basic Properties -- 11.3 Construction Problems -- 11.4 Using Homotheties in Proofs -- 11.5 Dilatation -- 11.6 Problems -- Chapter 12: Tessellations -- 12.1 Tilings -- 12.2 Monohedral Tilings -- 12.3 Tiling with Regular Polygons -- 12.4 Platonic and Archimedean Tilings -- 12.5 Problems -- Part III: Inversive and Projective Geometries -- Chapter 13: Introduction to Inversive Geometry -- 13.1 Inversion in the Euclidean Plane -- 13.2 The Effect of Inversion on Euclidean Properties -- 13.3 Orthogonal Circles -- 13.4 Compass-Only Constructions
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| 500 |
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|a 13.5 Problems
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
|
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|i has work:
|a Classical geometry (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCG7qt6w39k8BQbKTcQd98P
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Leonard, I. E.
|t Classical Geometry
|d Newark : John Wiley & Sons, Incorporated,c2014
|z 9781118679197
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103941
|z Texto completo
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| 938 |
|
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|a ProQuest Ebook Central
|b EBLB
|n EBL7103941
|
| 994 |
|
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|a 92
|b IZTAP
|
