The Circle: A Mathematical Exploration beyond the Line by Alfred S. Posamentier (PDF)

Description

The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson’s terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements.The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry-leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves – many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle’s place on the sphere bring “full circle” this presentation of a key element of geometry.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very nice to red book. As Highlight I think the work on Apollonius is great. The workout of all ten cases without the use of inversive geometry is really good.

⭐Posamentier writes in a wholly approachable style making materials that were confusing when young come alive as an adult. Recommended!

⭐Enjoyed the Euclidean Geometry part of the book. Didn’t care for other stuff. Some of the posed problems are quite difficult and I thought that the book should have given appendix solutions to these problems.

⭐Great book!

⭐Have to give it five stars as I am still working my way through it and love it so far. Writing this review to point out a typo on page 141. On the third line, I’m pretty sure the final = should be a +.

⭐The authors should have ended each incomplete proof with a “QED.”I regret this purchase.

Keywords

Free Download The Circle: A Mathematical Exploration beyond the Line in PDF format
The Circle: A Mathematical Exploration beyond the Line PDF Free Download
Download The Circle: A Mathematical Exploration beyond the Line 2016 PDF Free
The Circle: A Mathematical Exploration beyond the Line 2016 PDF Free Download
Download The Circle: A Mathematical Exploration beyond the Line PDF
Free Download Ebook The Circle: A Mathematical Exploration beyond the Line