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User manual for the interactive geometry software Cinderella

Author: Jürgen Richter-Gebert; Ulrich H Kortenkamp
Publisher: Berlin ; New York : Springer, ©2000.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create exact high-quality drawings for your papers and books, or research into well known or, even better, new geometric theorems. Cinderella's  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jürgen Richter-Gebert; Ulrich H Kortenkamp
ISBN: 3540671390 9783540671398
OCLC Number: 43764940
Notes: "This book is except for some minor corrections identical with the book published together with the CD-ROM in 1999 under the title: The interactive geometry software Cinderella"--Title page verso.
Description: x, 143 pages : illustrations ; 24 cm
Contents: 2 Introduction.- 2.1 Sample Applications.- 2.1.1 Exact Drawings.- 2.1.2 Geometric Calculator.- 2.1.3 Student Exercises.- 2.2 Design and Features.- 2.3 Technical Background.- 3 A Quick Start.- 3.1 Pappos' Theorem.- 3.1.1 Drawing Your First Point.- 3.1.2 Undoing an Operation.- 3.1.3 Moving a Point.- 3.1.4 Adding a Line..- 3.1.5 Adding More Lines.- 3.1.6 Creating Points of Intersection.- 3.1.7 Finishing the Drawing.- 3.1.8 Selecting and Changing the Appearance.- 3.1.9 Adding a Final Point and Proving a Theorem.- 3.1.10 Moving Points to Infinity.- 3.2 A Three Bar Linkage.- 3.2.1 Making a Bar.- 3.2.2 Adding Two More Bars.- 3.2.3 Moving the Construction.- 3.2.4 Starting an Animation.- 3.2.5 Drawing a Locus.- 4 Behind the Scenes.- 4.1 Problems in Interactive Geometry.- 4.1.1 Static Problems.- 4.1.2 Dynamic Problems.- 4.2 Projective Geometry.- 4.3 Homogeneous Coordinates.- 4.4 Complex Numbers.- 4.5 Measurements and Complex Numbers.- 4.5.1 Euclidean and Non-euclidean Geometry.- 4.5.2 Cayley-Klein Geometries.- 4.6 The Principle of Continuity.- 5 Reference.- 5.1 Overview.- 5.1.1 The Menu.- 5.1.2 The General Action Toolbar.- 5.1.3 The Geometric Tools.- 5.1.4 The Geometries.- 5.1.5 The Views.- 5.2 General Tools.- 5.2.1 File Operations.- 5.2.1.1 LA New.- 5.2.1.2 Load.- 5.2.1.3 Save.- 5.2.1.4 Save As.- 5.2.2 Export Tools.- 5.2.2.1 Al Print All Views.- 5.2.2.2 Export to HTML.- 5.2.2.3 Create an Exercise.- 5.2.3 Undo/Redo.- 5.2.3.1 Undo.- 5.2.3.2 Redo.- 5.2.3.3 Delete.- 5.2.4 Selection Tools.- 5.2.4.1 Select All.- 5.2.4.2 Select Points.- 5.2.4.3 Select Lines.- 5.2.4.4 Select Conics.- 5.2.4.5 Deselect.- 5.2.5 Moving an Element.- 5.2.6 Select.- 5.2.7 Interactive Modes.- 5.2.7.1 Add a Point.- 5.2.7.2 Add a Line.- 5.2.7.3 Line Through Point.- 5.2.7.4 Add a Parallel.- 5.2.7.5 Add a Perpendicular.- 5.2.7.6 Add a Line With Fixed Angle.- 5.2.7.7 Add a Circle.- 5.2.7.8 Circle by Radius.- 5.2.7.9 Circle by Fixed Radius.- 5.2.7.10 Midpoint.- 5.2.8 Definition Modes.- 5.2.8.1 Center.- 5.2.8.2 Angular Bisector.- 5.2.8.3 Compass.- 5.2.8.4 Mirror.- 5.2.8.5 Circle by Three Points.- 5.2.8.6 Conic by Five Points.- 5.2.8.7 Polar of a Point.- 5.2.8.8 Polar of a Line.- 5.2.8.9 Polygon.- 5.2.8.10 Join.- 5.2.8.11 Meet.- 5.2.8.12 Define a Parallel.- 5.2.8.13 Define a Perpendicular.- 5.2.9 Measurements.- 5.2.9.1 Distance.- 5.2.9.2 Angle.- 5.2.9.3 Area.- 5.2.10 Special Modes.- 5.2.10.1 Add Text.- 5.2.10.2 Locus.- 5.2.10.3 Animation.- 5.2.10.4 Add a Segment.- 5.3 Geometries.- 5.3.1 Types of Geometries.- 5.3.2 Views and Geometries.- 5.4 The Views.- 5.4.1 Euclidean View.- 5.4.1.1 Translate.- 5.4.1.2 Zoom in.- 5.4.1.3 Zoom out.- 5.4.1.4 Toggle Grid.- 5.4.1.5 Toggle Axes.- 5.4.1.6 Toggle Snap.- 5.4.1.7 Denser Grid.- 5.4.1.8 Coarser Grid.- 5.4.2 Spherical View.- 5.4.2.1 Rotate.- 5.4.2.2 Spherical Reset.- 5.4.2.3 The Scale Slider.- 5.4.3 Hyperbolic View.- 5.4.4 Polar Euclidean and Spherical View.- 5.4.5 Construction Text.- 5.4.6 General Functions.- 5.4.6.1 Generate PostScript.- 5.4.6.2 Choose the Geometry.- 5.5 The Appearance Editor.- 5.5.1 Color.- 5.5.2 View Colors.- 5.5.3 Clipping.- 5.5.4 Labelling.- 5.5.5 Pinning.- 5.5.6 Overhang.- 5.5.7 Size.- 5.5.8 Opaqueness.- 6 Creating Interactive Webpages and Exercises.- 6.1 Glossary.- 6.2 Exporting Plain Examples.- 6.3 Exporting Animations.- 6.4 Creating Interactive Exercises.- 6.4.1 Exercise Construction.- 6.4.2 Editing the Exercise.- 6.4.2.1 Defining the Input.- 6.4.2.2 Defining Solutions.- 6.4.2.3 Defining Hints.- 6.4.2.4 Tool Selection.- 6.4.3 Saving and Creating the HTML.- 6.4.4 Testing the Exercise.- 6.4.5 Design Considerations.- 6.5 Post-Processing.- 6.6 Legal Issues.- 7 Installation.- 7.1 General Information.- 7.2 Installing on Windows 95, 98 or NT 4.0.- 7.3 Installation on Unix Platforms.- 7.3.1 Installing on Sun Solaris (SPARC)..- 7.3.2 Other Unix-like Platforms.- 7.3.3 Installing a JVM on Linux.- 7.4 Installing on MacOS.- 7.5 Installing on Other Java Platforms.- 7.6 Installing Using a Web Browser.- 7.7 Troubleshooting.- 7.8 Installing Netscape.- 8 License Agreement.- 8.1 Conditions of Use and Terms of Warranty.- 8.2 Nutzungs- und Garantiebedingungen.- 8.3 Java(tm) Runtime Environment.- 9 References.
Responsibility: Jürgen Richter-Gebert, Ulrich H. Kortenkamp.
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Abstract:

Cinderella is a unique, technically very sophisticated teachware for geometry that will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in  Read more...

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   schema:reviewBody ""Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create exact high-quality drawings for your papers and books, or research into well known or, even better, new geometric theorems. Cinderella's unique mathematical theory guarantees consistency and well defined behavior for all geometric objects. This makes it the ideal tool for classroom teaching and demonstrations." "If you want to share your thoughts, just use the export wizard to create an interactive webpage. A few clicks and your colleagues can not only see what you mean, but actually experience it! A runtime module that you can distribute freely is included." "Let your students participate and use Cinderella's automatic theorem prover for assignments they really like. Forget multiple choice, with Cinderella they can interactively make a construction, and the included automatic theorem prover will check whether it is a solution. All they need is a Java enabled browser, all you need is Cinderella."--Jacket." ;
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