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The Secrets of Triangles: A Mathematical…
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The Secrets of Triangles: A Mathematical Journey

by Alfred S. Posamentier

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An amazing compendium of aspects of the Euclidean geometry of triangles (plus a chapter on triangle-related fractals) investigated mainly in post-medieval times. (I imagine the ghost of the Alexandrian master expressing hearty approval and condemning the religion-engendered Dark Age that interrupted progress for so many centuries.) The theorems of Ceva, Feuerbach, Gergonne, Morley, Napoleon (yes, *that* Napoleon), Routh, Simson, and Stewart; and much, much more. Exemplified, too, is the fact that it is in geometry books that figures placed overleaf (or even more remotely) from the point of discussion are both hardest for the publisher to avoid and maximally troublesome for the reader.
  fpagan | May 14, 2013 |
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This is a fascinating, insightful, and easy-to-read look at some of the most amazing aspects of geometry and mathematics. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets."… (more)

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