Journey Through The Wonders Of Plane Geometry, A
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A01=Alfred S Posamentier
A01=Hans Humenberger
Author_Alfred S Posamentier
Author_Hans Humenberger
Category=PBM
Category=PBP
eq_isMigrated=1
eq_nobargain
Geometric Fallacies
Geometric Oddities
Geometric Wonders
Problem-Solving and Geometry
Unusual Relationships and Geometry
Product details
- ISBN 9789819830473
- Publication Date: 04 Mar 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can 'see' geometry at work. Most people are exposed to the very basic elements of geometry throughout their schooling with the most concentrated study in the secondary school curriculum. High schools in the United States offer one year of concentrated study of geometry that shows students how a mathematician functions, since everything that is accepted beyond the basic axioms must be proved. Unfortunately, as the course is only one year long, there is still very much in geometry left unexplored for the general audience. That is the challenge of this book, in which we will present a plethora of amazing geometric relationships.We begin with the special relationships of the Golden Ratio, before considering unexpected concurrencies and collinearities. Next, we present some surprising results that arise when squares and similar triangles are placed on triangle sides, followed by a discussion of concyclic points and the relationships between circles and various linear figures. Moving on to more advanced aspects of linear geometry, we consider the geometric wonders of polygons. Finally, we address geometric surprises and fallacies, before concluding with a chapter on the useful concept of homothety, which is not included in the American year-long course in geometry.
