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Japanese Temple Geometry Problems Sangaku

by Fukagawa (Author)
5 out of 5 stars 2 customer reviews
ISBN-13: 978-0919611214
ISBN-10: 0919611214
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Product Details

  • Paperback
  • Publisher: Charles Babbage Research Ctr (December 1989)
  • Language: English
  • ISBN-10: 0919611214
  • ISBN-13: 978-0919611214
  • Product Dimensions: 0.5 x 6.2 x 9.2 inches
  • Shipping Weight: 10.4 ounces
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #5,444,172 in Books (See Top 100 in Books)

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12 of 12 people found the following review helpful
A truely mind-opening little book.
By Joshua Milgram on March 4, 2006
This book is a valuable resource for anyone looking for a sense of wonder in the geometrical world. It is a small treasure trove of facts and ideas that no one seems to care about in Euclidville.

Did you know that if you take two non-parallel tangents to a circle and make a line going through both of the tangent points, the largest circle that can fit inside that triangle has its center on the curve of the original circle? I sure didn't.

The book is intriguing from the very first page. It does not give equations for all relationships that it illustrates, but is nevertheless a wonderful resource, if you can manage to find a copy. The book's largest asset will be the thought that it inspires, and if you are not looking for a thought-provocer, you will find you book very useless.
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4 of 4 people found the following review helpful
A very interesting and very fun book
By David Bakin on October 29, 2007
This is a terrific book of problems - many with solutions - of plane geometry. The problems are divided into categories: Circles, Circles and Triangles, Circles and Polygons, Polygons, Ellipses, etc. The problems are all given with diagrams.

Most of these problems are unusual from the "western" point of view: They were formulated and solved by Japanese mathematicans (of all social classes) in the years when Japan isolated itself from the western world (1600-1867). They are called "Japanese Temple Geometry Problems" because when one of these problems was posed and solved, the happy theorem prover inscribed the problem on a wooden tablet and took it to a temple or shrine to be hung up and displayed as an offering. (And also, as a challenge to other mathematicians - as the proof was only rarely given!)

The book also has a short description of the problems - from which I took the information I gave in the previous paragraph, a couple of photographs of actual tablets that still exist, and the reproductions of the solutions of two of the problems as they were given in woodblock-printed texts.

Then there is an appendix that is as much fun as the rest of the book: 100 problems, given only as diagrams (no words), all of which concern circles inscribed in square of side a, all involving at least one circle of radius a/16. The question in all cases is the same: prove that the given circles marked as radius a/16 are actually and truely of radius a/16, given the constructions as indicated. The constructions vary from simple to complex, some are very pretty. No solutions are given. I have no idea how hard these problems are - I'm still working my way through them - but they vary.

This book is a gem!Read more ›
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