Sign-In
Cart
A Journey Through the Wonders of Plane Geometry
Hardcover
Series: Problem Solving in Mathematics and Beyond
ISBN13: 9789811292842
Publisher: World Scientific Publishing Company
Published: Feb 3 2025
Pages: 456
Weight: 1.71
Height: 1.00 Width: 6.00 Depth: 9.00
Language: English
Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can see geometry at work. Most people are exposed to the very basic elements of geometry throughout their schooling with the most concentrated study in the secondary school curriculum. High schools in the United States offer one year of concentrated study of geometry that shows students how a mathematician functions, since everything that is accepted beyond the basic axioms must be proved. Unfortunately, as the course is only one year long, there is still very much in geometry left unexplored for the general audience. That is the challenge of this book, in which we will present a plethora of amazing geometric relationships.
We begin with the special relationships of the Golden Ratio, before considering unexpected concurrencies and collinearities. Next, we present some surprising results that arise when squares and similar triangles are placed on triangle sides, followed by a discussion of concyclic points and the relationships between circles and various linear figures. Moving on to more advanced aspects of linear geometry, we consider the geometric wonders of polygons. Finally, we address geometric surprises and fallacies, before concluding with a chapter on the useful concept of homothety, which is not included in the American year-long course in geometry.
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
Expolog
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Douady, Stéphane
Golé, Christophe
Dumais, Jacques
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
Mathematics: Its Content, Methods and Meaning
Aleksandrov, A. D.
Kolmogorov, A. N.
Lavrent'ev, M. a.
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Little, John
O'Shea, Donal
Cox, David A.
Hardcover
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Cameron, Rich
Horvath, Joan
Paperback
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Kuang, Amber
Ma, Allen
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Adult Colouring Books
Adult Coloring Books
Coloring Books for Adults
Paperback
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra
MacLean, Kenneth J. M.
Hardcover
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Chaparro Gutiérrez, Héctor Camilo
Castillo, René Erlin
Ramos-Fernández, Julio César
Paperback
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover