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- Cunn, Mr. (Samuel)
- London : printed for Tho. Woodward, at the Half Moon, over against St. Dunstan's Church, in Fleetstreet, MDCCXXV. [1725]
- Description
- Book — 37, [3]p. : ill. ; 8⁰.
- Online
-
- find.galegroup.com Eighteenth Century Collections Online
- Google Books (Full view)
- Carroll, Lewis, 1832-1898.
- London : Macmillan, 1885 (Oxford : Printed by Horace Hart)
- Description
- Book — 306-356 p. ; 19 cm.
- Online
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
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For use in Special Collections Reading Room | Request (opens in new tab) |
513 .D645S | In-library use |
- Toepell, Michael-Markus.
- Göttingen : Vandenh. & Ruprecht, c1986.
- Description
- Book — xiii, 293 p. : ill. ; 24 cm.
- Online
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
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Stacks | Request (opens in new tab) |
QA681 .H582 1986 | Available |
4. 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.
5. 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 Kneser-Poulsen conjecture.- F. de Zeeuw: A survey of Elekes-Ronyai-type 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 semi-random method.- A. F. Holmsen: Erdos-Szekeres 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 n-partitions.- P. McMullen: New regular compounds of 4-polytopes.- 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.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA445 .N48 2018 | Unknown |
6. Elements of geometry [2017]
- Barnard, S., author.
- London : New Academic Science, [2017]
- Description
- Book — xi, 431 pages ; 24 cm
- Online
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QA445 .B37 2017 | Unknown |
7. 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)
8. 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.
(source: Nielsen Book Data)
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QA446 .L43 2017 | Unknown |
- 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.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
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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. Non-Euclidean 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.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
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QA445 .S543 2015 | Unknown |
- Casas-Alvero, 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 non-Euclidean 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 non-Euclidean 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 Nine-Point Circle 185 6.6.1 Special Cases 188 6.7 The Steiner-Lehmus 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 Compass-Only 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.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA445 .L46 2014 | Unknown |
13. 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 three-dimensional 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).- Remez-type inequality for smooth functions (Y. Iomdin).
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
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QA445 .G46 2014 | Unknown |
14. 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 |
15. 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.
(source: Nielsen Book Data)
16. Strasbourg Master Class on Geometry [2012]
- Zürich, Switzerland : European Mathematical Society, [2012].
- Description
- Book — 454 pages : illustrations ; 24 cm
- Summary
-
- Notes on non-Euclidean 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 3-manifold 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 3-manifolds, 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 |
- Shult, Ernest E.
- Berlin ; Heidelberg ; New York : Springer, ©2011.
- Description
- Book — 1 online resource (xxii, 676 pages) Digital: text file.PDF.
- Summary
-
- Basics about graphs
- Geometries : basic concepts
- Point-line geometries
- Hyperplanes, embeddings and Teirlinck's Theory
- Projective planes
- Projective spaces
- Polar spaces
- Near polygons
- Chamber systems and buildings
- 2-covers of chamber systems
- Locally truncated diagram geometries
- Separated systems of singular spaces
- Cooperstein's Theory of Symplecta and Parapolar Spaces
- Characterizations of the classical Grassmann Spaces
- Characterizing the classical strong parapolar spaces : the Cohen-Cooperstein Theory revisited
- Characterizing strong parapolar spaces by the relation between points and certain maximal singular subspaces
- Point-line characterizations of the "Long Root Geometries"
- The peculiar pentagon property.
- Cobos Gutiérrez, Carlos, author.
- Madrid : Editorial Tébar, 2009.
- Description
- Book — 1 online resource (115 pages)
19. Ji he lun yue [electronic resource] : 7 juan [2009]
- 幾何論約 7卷
- Du, Zhigeng.
- 杜知耕.
- Beijing : Beijing Ai ru sheng shu zi hua ji shu yan jiu zhong xin, 2009. 北京 : 北京愛如生數字化技術研究中心, 2009.
- Description
- Book — p. ; cm.
- Online
-
- Chinese Classic Ancient Books Link is not for individual title.
- Google Books (Full view)
20. Selected works [2009]
- Santaló, Luis A. (Luis Antonio), 1911-2001.
- Berlin : Springer, c2009.
- Description
- Book — ix, 854 p. : ill. ; 25 cm.
- Summary
-
- Preface by Simon K. Donaldson.- A Short Biography.- Scientific Work.- Some Photographs.- L. A. Santalo's Published Work.- List of Santalo's Papers Included in the Selection.- Selected Papers: Part I. Differential Geometry, with comments by E. Teufel.- Part II. Integral Geometry, with comments by R. Langevin.- Part III. Convex Geometry, with comments by R. Schneider.- Part IV. Affine Geometry, with comments by K. Leichtweiss.- Part V. Satistics and Stereology, with comments by L. M.. Cruz-Orive.- Coments on Some of Santalo's Papers.- Book Reviews.- On the Correspondence between Santalo and Vidal-Abascal.- Some Remarks on Two Classifications of Santalo's Papers.- Authorization.- Acknowledgments.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
Science Library (Li and Ma)
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QA443 .S26 2009 | Unknown |
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