Geometry Expressions Manual. ENG.pdf

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Geometry Expressions Manual
TM
Saltire Software
PO Box 230755
Tigard, OR 97281 0755
© 2011 Saltire Software. All rights reserved.
Information in this document is subject to change without notice. The distribution and sale of this product are
intended for the use of the original purchaser only. Under the copyright laws, neither the documentation nor
software may be copied, photocopied, reproduced, translated, or reduced to any electronic medium or
machine-readable form, in whole or in part without the prior written consent of Saltire Software, Inc., except in the
manner described in the Software License Agreement.
Saltire Software, Inc.
P.O. Box 230755
Tigard, OR 97281 0755
http://www.saltire.com
http://www.geometryexpressions.com
Geometry Expressions is a registered trademark of Saltire Software Inc.
TM
This material is based upon work supported by the National Science Foundation under Grant
No. 0750028
Contents
3
Table of Contents
Getting Started
.....................................................................................................11
Welcome
........................................................................................................................11
Need Help?
........................................................................................................................11
Linked Text
.......................................................................................................................................12
The Display and How It's Organized
.....................................................................................................14
The Status Bar
........................................................................................................................15
Customizing Your Display
.....................................................................................................18
Arranging Toolboxes
........................................................................................................................19
Hiding / Showing Toolboxes
........................................................................................................................20
Saving the Configuration
........................................................................................................................21
Arranging Project Pages
........................................................................................................................22
Adjusting the Default Settings
.....................................................................................................26
File Handling
.....................................................................................................30
Wookbooks and Individual .gx Files
........................................................................................................................31
MathML
.....................................................................................................34
Some Opening Examples
.....................................................................................................36
Tools
.....................................................................................................38
© 2011 Saltire Software
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4
Geometry Expressions Manual
Drawing
........................................................................................................................38
Using the Drawing Tools
.......................................................................................................................................38
Adding a Point
.......................................................................................................................................39
Adding Line Segments
.......................................................................................................................................40
Drawing Lines
.......................................................................................................................................41
Drawing Vectors
.......................................................................................................................................42
Drawing Polygons
.......................................................................................................................................43
Drawing Circles
.......................................................................................................................................44
Drawing Ellipses
.......................................................................................................................................45
Drawing Parabolas
.......................................................................................................................................46
Drawing Hyperbolas
.......................................................................................................................................47
Drawing Arcs
.......................................................................................................................................48
Drawing Regular Polygons
.......................................................................................................................................53
Drawing Curve Approximations
.......................................................................................................................................54
Adding Text to the Drawing
.......................................................................................................................................55
Using Pictures in the Drawing
.......................................................................................................................................56
Adding Expressions
.......................................................................................................................................58
Creating Functions
.......................................................................................................................................59
The Selection Arrow
.......................................................................................................................................70
Adjusting the Drawing
.......................................................................................................................................72
Constraints
........................................................................................................................73
Using Drawing Constraints
.......................................................................................................................................73
System Added Constraints
.......................................................................................................................................76
Constraint Conflicts
.......................................................................................................................................79
© 2011 Saltire Software
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Contents
5
Distance / Length Constraint
.......................................................................................................................................81
Radius Constraint
.......................................................................................................................................82
Perpendicular Constraint
.......................................................................................................................................82
Angle Constraint
.......................................................................................................................................83
Direction Constraint
.......................................................................................................................................84
Slope Constraint
.......................................................................................................................................84
Coordinate Constraint
.......................................................................................................................................85
Constraining Vector Coeffecients
.......................................................................................................................................85
Tangent Constraint
.......................................................................................................................................86
Incident Constraint
.......................................................................................................................................86
Congruent Constraint
.......................................................................................................................................87
Parallel Constraint
.......................................................................................................................................88
Implicit Equation Constraint
.......................................................................................................................................89
Point Proportional Along a Curve Constraint
.......................................................................................................................................89
Constructions
........................................................................................................................94
Creating Constructions
.......................................................................................................................................94
Midpoints of Line Segments
.......................................................................................................................................96
Intersections
.......................................................................................................................................96
Perpendicular Bisector
.......................................................................................................................................97
Angle Bisector
.......................................................................................................................................98
Parallel Constructions
.......................................................................................................................................98
Perpendicular Constructions
.......................................................................................................................................99
Tangents
.......................................................................................................................................99
Polygon Construction
.......................................................................................................................................100
Reflection
.......................................................................................................................................100
© 2011 Saltire Software
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