This Is A Circle

This is a circle. That is a square. This is a very silly book about a wild-looking one-eyed bear, a song-singing cat, a tap-dancing goat, and a pants-wearing fox. Armed with a variety of objects and shapes, these four silly creatures create a surprising amount of havoc, which starts by the goat climbing the box and only gets zanier from there! This is A Circle is charming, silly tale of shapes and objects. Kreb's dynamic illustrations bring her zany words to life in a fun read-along book that will have the whole family smiling!

Multi-award-winning, New York Times best-selling duo Mac Barnett and Jon Klassen deliver the final wry and resonant tale about Triangle, Square, and Circle. This book is about Circle. This book is also about Circle’s friends, Triangle and Square. Also it is about a rule that Circle makes, and how she has to rescue Triangle when he breaks that rule. With their usual pitch-perfect pacing and subtle, sharp wit, Mac Barnett and Jon Klassen come full circle in the third and final chapter of their clever shapes trilogy.

Diamonds, cubes, rings, and cylinders—shapes are all around us. How many shapes can you find pictured in this book?

Selected for the official TED bookstore (2013), YOU ARE A CIRCLE is a stunning visual poem where you're invited (and challenged) on a journey to explore your creativity. This voyage is made of mysterious circles and zen-like aphorisms that feel like the voice of an old friend. A mesmerizing experience, YOU ARE A CIRCLE is the perfect companion for the creative mind. It's a timeless book that will inspire you for the years to come.

Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.