Seven Circles Theorem: And Other New Theorems
Seven Circles Theorem: And Other New Theorems by C.J.A. Evelyn
1974 | ISBN: 095033040X | 80 pages | DJVU | 2 MB
1974 | ISBN: 095033040X | 80 pages | DJVU | 2 MB
This collection of theorems in plane geometry, some of which we believe to be new, illustrates that there may still be plenty of interesting theorems awaiting discovery. We derived a lot of enjoyment from evolving them (or, as it transpired in some cases, rediscovering them) and it is our sincere hope that the reader may derive as much pleasure from reading about them. We have included a rather more generous proportion of diagrams than is strictly necessary, principally, of course, to assist the reader in following the proofs, but partly, too, for their beauty of design, which we have found to have an appeal to many of our friends who are not mathematicians.
The book is arranged in three main sections, the first on a topic in linear geometry, the second on some generalisations of Pascal's theorem, and the third on a series of theorems concerning chains of circles (none of which, surprisingly, appear to be known). Most of the proofs given are essentially elementary and should be within the comprehension of an average university student in mathematics.