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The Secrets of Triangles: A Mathematical…
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The Secrets of Triangles: A Mathematical Journey (original 2012; udgave 2012)

af Alfred S. Posamentier (Forfatter)

MedlemmerAnmeldelserPopularitetGennemsnitlig vurderingSamtaler
381512,247IngenIngen
Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point - no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion. Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.… (mere)
Medlem:KentPlaceMath
Titel:The Secrets of Triangles: A Mathematical Journey
Forfattere:Alfred S. Posamentier (Forfatter)
Info:Prometheus (2012), 387 pages
Samlinger:Dit bibliotek
Vurdering:
Nøgleord:Ingen

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The Secrets of Triangles: A Mathematical Journey af Alfred S. Posamentier (2012)

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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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Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point - no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion. Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.

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