The Cinderella.2 Manual

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1 The Cinderella.2 Manual Working with The Interactive Geometry Software Bearbeitet von Ulrich H Kortenkamp, Jürgen Richter-Gebert 1. Auflage Buch. xiv, 458 S. Hardcover ISBN Format (B x L): 0 x 0 cm Weitere Fachgebiete > Mathematik > Numerik und Wissenschaftliches Rechnen schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, ebooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte.

2 Contents Part I General Concepts 1 Introduction What Is Cinderella? What Is New in Cinderella Technical Background Installation and Updating Theoretical Background Problems in Interactive Geometry Projective Geometry Homogeneous Coordinates Complex Numbers Measurements and Complex Numbers The Principle of Continuity Quick-Start Tutorials Pappus s Theorem A Three-Bar Linkage Kepler Ellipses Scripting the Seeds of a Sunflower Part II Cinderella Reference 4 Interactive Geometry with Cinderella The Main Menu The Toolbars General Tools Move Mode Interactive Modes Definition Modes Measurements Special Modes Conic Operations Polygons Geometries xi

3 xii Contents 4.12 Views Transformation Modes Setting a Basis Iterated Function Systems Transformation Groups The Inspector A General Overview The Info Block Inspecting Appearance Traces, Arrows, Rendering Controlling the Views Part III CindyLab Reference 6 Introduction to CindyLab Simulating Masses and Forces Cinderella and Physics CindyLab and CindyScript The Elements of CindyLab Starting a Physics Simulation The Environment CindyLab Objects Free Mass Velocity Gravity Sun Magnetic Field Rubber Band Spring Coulomb Force Floor Bouncer Environment Many-Particle Systems Animations and CindyLab Geometry and CindyLab Scripting Physical Environments Part IV CindyScript Reference 8 CindyScript Fundamentals General Concepts of CindyScript Entering Program Code Variables and Functions Accessing Geometric Elements Programming Control Operators...243

4 Contents xiii 9.2 Arithmetic Operators Boolean Operators String Operators String Comparison and Sorting Lists and Linear Algebra Using Lists in CindyScript Elementary List Operations Advanced List Operations Lists of Geometric Elements Vectors and Matrices Drawing Appearance of Objects Elementary Drawing Functions Function Plotting Texts and Tables TeX Rendering Image Manipulation and Rendering Shapes The Coordinate System of CindyScript The Appearance and Basis Stack Layers Geometric Operators Lists and Coordinates Elementary geometric operators Useful Linear Algebra Operators Conversion and Typing Geometric Transformations and Bases Calculus Derivatives and Tangents Advanced calculations Music Support: Syntherella MIDI Functions Single Tones Melodies Sound characteristics Three Little Pieces Sampled-Audio Functions Special Operators Interaction with Geometry File Management Console Output Timing and Animations User Input Interaction with CindyLab...394

5 xiv Contents 15.7 Entering CindyScript Code Tiny Code Examples Part V Advanced Topics 17 Copy, Paste and Macros Copy/Paste Redefine Creating own Tools Creating Interactive Webpages Glossary Exporting Plain Examples Exporting Animations Creating Interactive Exercises Post-Processing Legal Issues Scribbling Creating Elements Gestures Customizing the Scribble Mode Extensions Plugins JavaScript Interactive Exercises Multitouch Support Mathe-Vital Visage: Visualization of Graph Algorithms Index References...457

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