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Journey Through The Wonders Of Plane Geometry, A

Af: Hans Humenberger, Alfred S Posamentier Engelsk Hardback

Journey Through The Wonders Of Plane Geometry, A

Af: Hans Humenberger, Alfred S Posamentier Engelsk Hardback
Tjek vores konkurrenters priser
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 456
ISBN-13: 9789811292842
Indbinding: Hardback
Udgave:
ISBN-10: 9811292841
Kategori: Geometri
Udg. Dato: 4 mar 2025
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 4 mar 2025
Forfatter(e) Hans Humenberger, Alfred S Posamentier


Kategori Geometri


ISBN-13 9789811292842


Sprog Engelsk


Indbinding Hardback


Sider 456


Udgave


Længde 0mm


Bredde 0mm


Højde 0mm


Udg. Dato 4 mar 2025


Oplagsdato 4 mar 2025


Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge