User Manual for the Interactive Geometry Software Cinderella

ISBN-13: 9783540671398 / Angielski / Miękka / 2000 / 143 str.

Jurgen Richter-Gebert; J. Richter-Gebert; U. H. Kortenkamp

Opis

Cinderella is a unique, technically very sophisticated teachware for geometry. It will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research by scientists. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises.

Spis treści

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.