In the mystical realm of the Seven Circles, all creatures live in harmony within their own sphere. The noble centaurs live in the forests. The goblins and trolls lurk underground. And in the tranquil center the most evolved beings of all—the elves and the druids—dwell in a peace that has lasted from time out of mind. That is about to change. Disaffected members of all the races are gathering into a seditious force that may portend the fall of the Seven Circles into chaos. Strangers to brutality and warfare, the druids need a champion who can teach them to defend themselves. To this aim, they recruit warriors from a warlike world where only the strong survive. A primitive world where life lasts only as long as you can fight for it. A world called Earth. “Absolutely nobody builds a more convincing fantasy realm than Doug Niles.”—R.A. Salvatore, bestselling author of The Demon Awakens “Niles…writes so well that his characters come to life after only a few lines.” —Starlog

A research monograph introducing circle systems. If G is an abelian group; g is an element of G and f is an injective mapping from G into the real projective plane such that for each four element subset {a,b,c,d} of G with sum g, the corresponding points {f(a),f(b),f(c),f(d)} are cocyclic, then the set of points f(G) and the associated cocyclic quadruples is a (G,g) circle system. The group G is the base of the system, and the element g is the sum. Circle systems with various bases and sums are constructed and their properties determined. In particular, it is shown that the points of a circle system lie on a self-inversive cubic or quartic algebraic curve which we call the envelope of the system. The ternary hypercommutative algebra which is defined on the envelope is used to study algebraic properties of circle systems. Circle systems with noncircular conic envelope are also studied.

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.

Meetings in the round have become the preferred tool for moving individual commitment into group action. This book lays out the structure of circle conversation, based on the original work of the authors who have standardized the essential elements that constitute circle practice.

Creo Parametric 4.0 for Designers book is written to help the readers effectively use the modeling and assembly tools by utilizing the parametric approach of Creo Parametric 4.0 effectively. This book provides detailed description of the tools that are commonly used in modeling, assembly, sheetmetal as well as in mold. This book also covers the latest surfacing techniques like Freestyle and Style with the help of relevant examples and illustrations. The Creo Parametric 4.0 for Designers book further elaborates on the procedure of generating the drawings of a model or assembly, which are used for documentation of a model or assembly. The examples and tutorials used in this book will ensure that the users can relate the knowledge of this book with the actual mechanical industry designs. Every chapter begins with a tools section that provides a brief information of the Creo Parametric tools. This approach allows the user to use this book initially as a learning tool and then as a reference material. Salient Features: Consists of 16 chapters that are organized in a pedagogical sequence. Comprehensive coverage of concepts and techniques. Tutorial approach to explain the concepts. Detailed explanation of all commands and tools. Summarized content on the first page of the topics that are covered in the chapter. Hundreds of illustrations for easy understanding of concepts. Step-by-step instructions that guide the users through the learning process. More than 40 real-world mechanical engineering designs as tutorials, 40 as exercises, and projects with step-by-step explanation. Additional information throughout the book in the form of notes and tips. Self-Evaluation Tests and Review Questions at the end of each chapter so that the users can assess their knowledge. Technical support by contacting 'techsupport@cadcim.com'. Additional learning resources at 'http://allaboutcadcam.blogspot.com'. Table of Contents Chapter 1: Introduction to Creo Parametric 4.0 Chapter 2: Creating Sketches in the Sketch Mode-I Chapter 3: Creating Sketches in the Sketch Mode-II Chapter 4: Creating Base Features Chapter 5: Datums Chapter 6: Options Aiding Construction of Parts-I Chapter 7: Options Aiding Construction of Parts-II Chapter 8: Options Aiding Construction of Parts-III Chapter 9: Advanced Modeling Tools Chapter 10: Assembly Modeling Chapter 11: Generating, Editing, and Modifying the Drawing Views Chapter 12: Dimensioning the Drawing Views Chapter 13: Other Drawing Options Chapter 14: Working with Sheetmetal Components Chapter 15: Surface Modeling (For free download) Chapter 16: Introduction to Mold Design (For free download) Student Projects (For free download) Index