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 Carroll, Lewis, 18321898.
 London : Macmillan, 1885 (Oxford : Printed by Horace Hart)
 Description
 Book — 306356 p. ; 19 cm.
 Online
SAL3 (offcampus storage)
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513 .D645S  Inlibrary use 
 Toepell, MichaelMarkus.
 Göttingen : Vandenh. & Ruprecht, c1986.
 Description
 Book — xiii, 293 p. : ill. ; 24 cm.
 Online
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QA681 .H582 1986  Available 
4. Geometrical kaleidoscope [2024]
 Pritsker, Boris, author.
 Second edition.  Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2024]
 Description
 Book — 1 online resource.
 Eschenburg, JostHinrich, author.
 Wiesbaden, Germany : Springer, 2022.
 Description
 Book — 1 online resource (vi, 167 pages) : illustrations
 Summary

 What is geometry. Parallelism: affine geometry. From affine geometry to linear algebra. Definition of affine space. Parallelism and semiaffine mappings. Parallel projections. Affine coordinates and center of gravity. Incidence: projective geometry. Central perspective. Far points and straight lines of projection. Projective and affine space.Semiprojective mappings and collineations. Conic sections and quadrics
 homogenization. The theorems of Desargues and Brianchon. Duality and polarity
 Pascal's theorem. The double ratio. Distance: Euclidean geometry. The Pythagorean theorem. Isometries of Euclidean space. Classification of isometries. Platonic solids. Symmetry groups of Platonic solids. Finite rotation groups and crystal groups. Metric properties of conic sections. Curvature: differential geometry. Smoothness. Fundamental forms and curvatures. Characterization of spheres and hyperplanes. Orthogonal hyperface systems. Angles: conformal geometry. Conformal mappings. Inversions. Conformal and spherical mappings. The stereographic projection. The space of spheres. Angular distance: spherical and hyperbolic geometry. The hyperbolic space. Distance on the sphere and in hyperbolic space. Models of hyperbolic geometry. Exercises. Solutions.
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6. Geometry : a very short introduction [2022]
 Dunajski, Maciej, author.
 Oxford : Oxford University Press, 2022
 Description
 Book — 1 online resource : illustrations (black and white)
 Summary

This text provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and nonEuclidean geometries, to curved spaces, and the geometry of spacetime inside a black hole, and outlines the role geometry plays in the broader context of science and art
7. Geometry : a very short introduction [2022]
 Dunajski, Maciej, author.
 Oxford : Oxford University Press, 2022
 Description
 Book — 1 online resource : illustrations (black and white)
 Summary

This text provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and nonEuclidean geometries, to curved spaces, and the geometry of spacetime inside a black hole, and outlines the role geometry plays in the broader context of science and art
8. Geometry [2020]
 Gelfand, Israel M.
 New York, NY : Birkhäuser, 2020.
 Description
 Book — 1 online resource (xxi, 420 pages) : illustrations
 Summary

 Points and Lines: A Look at Projective Geometry
 Parallel Lines: A Look at Affine Geometry
 Area: A Look at Symplectic Geometry
 Circles: A Look at Euclidean Geometry.
9. New trends in intuitive geometry [2018]
 Berlin, Germany : Springer, [2018]
 Description
 Book — x, 458 pages ; 25 cm.
 Summary

 Introduction. A. Barvinok: The tensorization trick in geometry. K. Bezdek and M. A. Khan: Contact numbers for sphere packings. P. M. Blagojevic, A. S. D. Blagojevic, and G. M. Ziegler: The topological Tverberg theorem plus constraints. B. Csikos: On the volume of Boolean expressions of balls  A review of the KneserPoulsen conjecture. F. de Zeeuw: A survey of ElekesRonyaitype problems. G. Domokos and G. W. Gibbons: The geometry of abrasion. F. M. de Oliveira Filho and F. Vallentin: Computing upper bounds for the packing density of congruent copies of a convex body. P. Hajnal and E. Szemeredi: Two geometrical applications of the semirandom method. A. F. Holmsen: ErdosSzekeres theorems for families of convex sets. R. Kusner, W. Kusner, J. C. Lagarias, and S. Shlosman: Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem. E. Leon and G. M. Ziegler: Spaces of convex npartitions. P. McMullen: New regular compounds of 4polytopes. O. R. Musin, Five Essays on the Geometry of Laszlo Fejes Toth. M. Naszodi: Flavors of translative coverings. M. Sharir and Noam Solomon: Incidences between points and lines in three dimensions. J. Solymosi and F. de Zeeuw: Incidence bounds for complex algebraic curves on Cartesian products. K. J. Swanepoel: Combinatorial distance geometry in normed spaces.
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Science Library (Li and Ma)
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QA445 .N48 2018  Unknown 
10. Elements of geometry [2017]
 Barnard, S., author.
 London : New Academic Science, [2017]
 Description
 Book — xi, 431 pages ; 24 cm
 Online
Science Library (Li and Ma)
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QA445 .B37 2017  Unknown 
11. Geometrical kaleidoscope [2017]
 Pritsker, Boris, author.
 Mineola, New York : Dover Publications, 2017.
 Description
 Book — 1 online resource ( xi, 124 pages) :
 Summary

 Medians, centroid, and center of gravity of a system of points
 Altitudes and the orthocenter of a triangle and some of its properties
 The orthic triangle and some of its properties
 The angle bisector of a triangle and its properties
 The area of a quadrilateral
 The theorem of ratios of the areas of similar polygons
 A pivotal approach: applying rotation in problem solving
 Auxiliary elements in problem solving
 Constructions siblings
 Session of one interesting construction problem
 Morley's theorem.
 Online

 ProQuest Ebook Central Access limited to 3 simultaneous users
 Google Books (Full view)
12. Lectures on geometry [2017]
 First Edition.  Oxford, United Kingdom ; New York, NY : Oxford University Press, 2017.
 Description
 Book — vii, 188 pages : illustrations ; 24 cm.
 Summary

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work in this general area, regardless of their own particular research interests.
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QA446 .L43 2017  Unknown 
13. A participatory approach to modern geometry [2015]
 Kappraff, Jay, author.
 Singapore ; Hackensack, New Jersey : World Scientific, [2015]
 Description
 Book — xvi, 256 pages : illustrations ; 26 cm
 Summary

 The Origin of Geometry in Design
 A Constructive Approach to the Pythagorean Theorem
 Lines and Pixels
 Compass and Straightedge Constructions
 Congruent Triangles and Trigonometry
 The Art of Proof
 Parallel Lines and Bracing of Frameworks
 Perpendicular Lines and Vornoi Domains
 Doing Algebra with Geometry
 Areas, Vectors and Geoboards
 From Right Triangles to Logarithmic Spirals
 The Golden and Silver Means
 Transformational Geometry and Isometries
 Kaleidoscope and Frieze Symmetry
 An Introduction to Symmetry Groups
 Fractals, Isometries and Matrices
 Thirteen Fundamental Constructions of Projective Geometry.
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QA445 .K3574 2015  Unknown 
 Sibley, Thomas Q. author.
 Washington, DC : The Mathematical Association of America, [2015]
 Description
 Book — xxiii, 559 pages : illustrations ; 26 cm.
 Summary

 Preface
 1. Euclidean geometry
 2. Axiomatic systems
 3. Analytic geometry
 4. NonEuclidean geometries
 5. Transformational geometry
 6. Symmetry
 7. Projective geometry
 8. Finite geometries
 9. Differential geometry
 10. Discrete geometry
 11. Epilogue
 Appendix A. Definitions, postulates, common notions, and propositions from Book I of Euclid's Elements
 Appendix B. SMSG axioms for Euclidean geometry
 Appendix C. Hilbert's axioms for Euclidean plane geometry
 Appendix D. Linear algebra summary
 Appendix E. Multivariable calculus summary
 Appendix F. Elements of proofs
 Answers to selected exercises
 Acknowledgements
 Index.
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 Online
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QA445 .S543 2015  Unknown 
 CasasAlvero, Eduardo, author.
 Zuerich, Switzerland : European Mathematical Society Publishing House, 2014.
 Description
 Book — 1 online resource (636 pages). Digital: text file; PDF.
 Summary

Projective geometry is concerned with the properties of figures that are invariant by projecting and taking sections. It is considered one of the most beautiful parts of geometry and plays a central role because its specializations cover the whole of the affine, Euclidean and nonEuclidean geometries. The natural extension of projective geometry is projective algebraic geometry, a rich and active field of research. Regarding its applications, results and techniques of projective geometry are today intensively used in computer vision. This book contains a comprehensive presentation of projective geometry, over the real and complex number fields, and its applications to affine and Euclidean geometries. It covers central topics such as linear varieties, cross ratio, duality, projective transformations, quadrics and their classifications – projective, affine and metric –, as well as the more advanced and less usual spaces of quadrics, rational normal curves, line complexes and the classifications of collineations, pencils of quadrics and correlations. Two appendices are devoted to the projective foundations of perspective and to the projective models of plane nonEuclidean geometries. The presentation uses modern language, is based on linear algebra and provides complete proofs. Exercises are proposed at the end of each chapter; many of them are beautiful classical results. The material in this book is suitable for courses on projective geometry for undergraduate students, with a working knowledge of a standard first course on linear algebra. The text is a valuable guide to graduate students and researchers working in areas using or related to projective geometry, such as algebraic geometry and computer vision, and to anyone wishing to gain an advanced view on geometry as a whole.
 Leonard, I. Ed., 1938 author.
 Hoboken, New Jersey : Wiley, [2014]
 Description
 Book — xii, 479 pages : illustrations ; 25 cm
 Summary

 Preface v PART I EUCLIDEAN GEOMETRY
 1 Congruency 3 1.1 Introduction 3 1.2 Congruent Figures 6 1.3 Parallel Lines 12 1.3.1 Angles in a Triangle 13 1.3.2 Thales' Theorem 14 1.3.3 Quadrilaterals 17 1.4 More About Congruency 21 1.5 Perpendiculars and Angle Bisectors 24 1.6 Construction Problems 28 1.6.1 The Method of Loci 31 1.7 Solutions to Selected Exercises 33 1.8 Problems 38
 2 Concurrency 41 2.1 Perpendicular Bisectors 41 2.2 Angle Bisectors 43 2.3 Altitudes 46 2.4 Medians 48 2.5 Construction Problems 50 2.6 Solutions to the Exercises 54 2.7 Problems 56
 3 Similarity 59 3.1 Similar Triangles 59 3.2 Parallel Lines and Similarity 60 3.3 Other Conditions Implying Similarity 64 3.4 Examples 67 3.5 Construction Problems 75 3.6 The Power of a Point 82 3.7 Solutions to the Exercises 87 3.8 Problems 90
 4 Theorems of Ceva and Menelaus 95 4.1 Directed Distances, Directed Ratios 95 4.2 The Theorems 97 4.3 Applications of Ceva's Theorem 99 4.4 Applications of Menelaus' Theorem 103 4.5 Proofs of the Theorems 115 4.6 Extended Versions of the Theorems 125 4.6.1 Ceva's Theorem in the Extended Plane 127 4.6.2 Menelaus' Theorem in the Extended Plane 129 4.7 Problems 131
 5 Area 133 5.1 Basic Properties 133 5.1.1 Areas of Polygons 134 5.1.2 Finding the Area of Polygons 138 5.1.3 Areas of Other Shapes 139 5.2 Applications of the Basic Properties 140 5.3 Other Formulae for the Area of a Triangle 147 5.4 Solutions to the Exercises 153 5.5 Problems 153
 6 Miscellaneous Topics 159 6.1 The Three Problems of Antiquity 159 6.2 Constructing Segments of Specific Lengths 161 6.3 Construction of Regular Polygons 166 6.3.1 Construction of the Regular Pentagon 168 6.3.2 Construction of Other Regular Polygons 169 6.4 Miquel's Theorem 171 6.5 Morley's Theorem 178 6.6 The NinePoint Circle 185 6.6.1 Special Cases 188 6.7 The SteinerLehmus Theorem 193 6.8 The Circle of Apollonius 197 6.9 Solutions to the Exercises 200 6.10 Problems 201 PART II TRANSFORMATIONAL GEOMETRY
 7 The Euclidean Transformations or Isometries 207 7.1 Rotations, Reflections, and Translations 207 7.2 Mappings and Transformations 211 7.2.1 Isometries 213 7.3 Using Rotations, Reflections, and Translations 217 7.4 Problems 227
 8 The Algebra of Isometries 231 8.1 Basic Algebraic Properties 231 8.2 Groups of Isometries 236 8.2.1 Direct and Opposite Isometries 237 8.3 The Product of Reflections 241 8.4 Problems 246
 9 The Product of Direct Isometries 253 9.1 Angles 253 9.2 Fixed Points 255 9.3 The Product of Two Translations 256 9.4 The Product of a Translation and a Rotation 257 9.5 The Product of Two Rotations 260 9.6 Problems 263
 10 Symmetry and Groups 269 10.1 More About Groups 269 10.1.1 Cyclic and Dihedral Groups 273 10.2 Leonardo's Theorem 277 10.3 Problems 281
 11 Homotheties 287 11.1 The Pantograph 287 11.2 Some Basic Properties 288 11.2.1 Circles 291 11.3 Construction Problems 293 11.4 Using Homotheties in Proofs 298 11.5 Dilatation 302 11.6 Problems 304
 12 Tessellations 311 12.1 Tilings 311 12.2 Monohedral Tilings 312 12.3 Tiling with Regular Polygons 317 12.4 Platonic and Archimedean Tilings 323 12.5 Problems 330 PART III INVERSIVE AND PROJECTIVE GEOMETRIES
 13 Introduction to Inversive Geometry 337 13.1 Inversion in the Euclidean Plane 337 13.2 The Effect of Inversion on Euclidean Properties 343 13.3 Orthogonal Circles 351 13.4 CompassOnly Constructions 360 13.5 Problems 369
 14 Reciprocation and the Extended Plane 373 14.1 Harmonic Conjugates 373 14.2 The Projective Plane and Reciprocation 383 14.3 Conjugate Points and Lines 393 14.4 Conics 399 14.5 Problems 406
 15 Cross Ratios 409 15.1 Cross Ratios 409 15.2 Applications of Cross Ratios 420 15.3 Problems 429
 16 Introduction to Projective Geometry 433 16.1 Straightedge Constructions 433 16.2 Perspectivities and Projectivities 443 16.3 Line Perspectivities and Line Projectivities 448 16.4 Projective Geometry and Fixed Points 448 16.5 Projecting a Line to Infinity 451 16.6 The Apollonian Definition of a Conic 455 16.7 Problems 461 Bibliography 464 Index 469.
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QA445 .L46 2014  Unknown 
17. Geometry and its applications [2014]
 Cham : Springer, c2014.
 Description
 Book — x, 243 p. : ill. ; 24 cm.
 Summary

 Part I: Geometry. The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos). Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski). Cantor laminations and exceptional minimal sets in codimension one foliations (G. Hector). Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski). On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko). The partial Ricci flow for foliations (V. Rovenski). Osculation in general (P. Walczak). On stability of totally geodesic unit vector fields on threedimensional Lie groups (A. Yampolsky). Part II: Applications. Rotational liquid film interacted with ambient gaseous media (I. Gaissinski, Y. Levy, V. Rovenski, V. Sherbaum). On cycles and other geometric phenomena in phase portraits of some nonlinear dynamical systems (V. Golubyatnikov, Yu. A. Gaidov). Remeztype inequality for smooth functions (Y. Iomdin).
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QA445 .G46 2014  Unknown 
18. Large scale geometry [2012]
 Nowak, Piotr W.
 Zürich : European Mathematical Society, c2012.
 Description
 Book — xiv, 189 p. : ill. ; 24 cm.
Science Library (Li and Ma)
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QA613 .N68 2012  Unknown 
19. Measurement [2012]
 Lockhart, Paul.
 Cambridge, Mass. : Harvard University Press, 2012.
 Description
 Book — 407 p. : ill. ; 22 cm.
 Summary

 Reality and imagination
 On problems
 Size and shape
 Time and space.
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20. Strasbourg Master Class on Geometry [2012]
 Zürich, Switzerland : European Mathematical Society, [2012].
 Description
 Book — 454 pages : illustrations ; 24 cm
 Summary

 Notes on nonEuclidean geometry / Norbert A'Campo and Athanase Papadopoulos
 Crossroads between hyperbolic geometry and number theory / Françoise Dal'Bo
 Introduction to origamis in Teichmüller space / Frank Herrlich
 Five lectures on 3manifold topology / Philipp Korablev and Sergey Mateev
 An introduction to globally symmetric spaces / Gabriele Link
 Geometry of the representation spaces in SU(2) / Julien Marché
 Algorithmic construction and recognition of hyperbolic 3manifolds, links, and graphs / Carlo Petronio
 An introduction to asymptotic geometry / Viktor Schroeder.
Science Library (Li and Ma)
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QA445 .S77 2012  Unknown 
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