Geometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information

✍ Scribed by Aad Goddijn, Martin Kindt, Wolfgang Reuter (auth.)

Publisher: SensePublishers
Year: 2014
Tongue: English
Leaves: 327
Series: Dutch Design in Mathematics Education
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Front Matter....Pages i-vi
Geometry between Application and Proof, a General Introduction....Pages 1-7
Geometry, Classical Topics and New Applications....Pages 9-22
Given: Circle with Butterfly or: How Do You Learn Proving?....Pages 23-39
Front Matter....Pages 41-41
Voronoi diagrams....Pages 43-59
Reasoning with distances....Pages 61-79
Computer practical Voronoi diagrams....Pages 81-91
A special quadrilateral....Pages 93-105
Exploring isodistance lines....Pages 107-127
Shortest paths....Pages 129-139
Example solutions....Pages 141-172
Worksheets Part I....Pages 173-181
Front Matter....Pages 183-183
Using what you know....Pages 185-193
The circle scrutinized....Pages 195-205
Finding proofs....Pages 207-218
Conjectures on Screen....Pages 219-230
Proving conjectures....Pages 231-239
Clues for chapter 3 and 5....Pages 241-249
Front Matter....Pages 251-251
Preface....Pages 253-253
Edge and conflict....Pages 255-270
Parabola, ellipse and hyperbola....Pages 271-299
Front Matter....Pages 251-251
Analytic geometry....Pages 301-329
Conic sections....Pages 331-341

✦ Subjects

Education (general)

📜 SIMILAR VOLUMES

Geometry with Applications and Proofs: A

📁 Geometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information

✍ Aad Goddijn, Martin Kindt, Wolfgang Reuter 📂 Library 📅 2014 🏛 Sense Publishers 🌐 English

This book shows how geometry can be learned by starting with real world problems which are solved by intuition, common sense reasoning and experiments. Gradually the more formal demands of mathematical proofs get their proper place and make it possible to explore new applications. This process helps

Foundations of geometry for university s

📁 Foundations of geometry for university students and high-school students

✍ Sharipov R.A. 📂 Library 📅 1998 🏛 Ufa 🌐 English

Foundations of geometry for university s

📁 Foundations of geometry for university students and high school students (Ufa 1998)

✍ Sharipov R.A. 📂 Library 🌐 English

Clifford Algebras: Geometric Modelling a

📁 Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics

✍ Daniel Klawitter 📂 Library 📅 2014 🏛 Springer Spektrum 🌐 English

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions wit

Clifford Algebras: Geometric Modelling a

📁 Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics

✍ Daniel Klawitter (auth.) 📂 Library 📅 2015 🏛 Springer Spektrum 🌐 English

<p>After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions

Homotopical Algebraic Geometry II: Geome

📁 Homotopical Algebraic Geometry II: Geometric Stacks and Applications

✍ Bertrand Toen, Gabriele Vezzosi 📂 Library 📅 2008 🏛 Amer Mathematical Society 🌐 English

This is the second part of a series of papers called "HAG", devoted to developing the foundations of homotopical algebraic geometry. The authors start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations, etale and