Texas instruments CABRI GEOMETRY II Getting Started
CABRI GEOMETRYë II
Getting Started with Cabri Geometry II for Macintosh®, Windows® and MS-DOS
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CABRI GEOMETRY II
Getting Started with
Cabri Geometry II
for Macintoshë,
Windowsë, and MS-DOSë
Dive into Geometry
About Cabri Geometry II
Cabri Geometry II lets you construct and explore geometric objects interactively.
Jean-Marie Laborde and Franck Bellemain developed Cabri Geometry II at the Institut
d'Informatique et Mathématiques Appliquées de Grenoble (IMAG), a research lab at the Université
Joseph Fourier in Grenoble, France, in cooperation with the Centre National de la Recherche
Scientifique (CNRS) and Texas Instruments.
Texas Instruments, the publisher for Cabri Geometry II in the United States and Canada, is pleased
to bring computer-based geometry to classrooms. The geometric foundation of this easy-to-use
software encourages exploring and conjecturing—from simple shapes to advanced projective and
hyperbolic geometry.
About the Developers
Jean-Marie Laborde is founder and Research Director of Laboratoire de Structures Discrètes et de
Didactique (LSD2), a research laboratory within IMAG. He graduated in mathematics at Ècole
Normale Supérieure in Paris in 1969. He earned a Ph.D. (Thèse d'État) in computer science at the
University of Grenoble in 1977. Jean-Marie began work on the Cabri II project in 1981 as an
environment for graph theory. He has devoted his research efforts to the use of geometric methods
for the study of different classes of graphs, especially hypercubes.
Franck Bellemain earned a Ph.D. in mathematics at the Université Joseph Fourier in 1992. He
began work on the Cabri II project in 1986 and is responsible for writing several versions of the
software for Macintosh, PC-compatible, and Japanese computers. His research and thesis have
been devoted to the use of technology in the classroom.
Cabri Geometry II Features
¦ Includes interactive analytic, transformational, and Euclidean geometry.
¦ Allows intuitive construction of points, lines, triangles, polygons, circles, and other basic
objects.
¦ Translates, dilates, and rotates geometric objects around geometric centers or specified points
plus reflection, symmetry, and inverse of the objects.
¦ Constructs conics easily, including ellipses and hyperbolas.
¦ Explores advanced concepts in projective and hyperbolic geometry.
¦ Annotates and measures figures (with automatic updating).
¦ Uses both Cartesian and polar coordinates.
¦ Provides for user display of the equations of geometric objects, including lines, circles,
ellipses, and coordinates of points.
¦ Allows the user to create macros for frequently repeated constructions.
¦ Lets the teacher configure tool menus to focus student activities.
¦ Checks geometric properties to test hypotheses based on Euclid’s five postulates.
¦ Hides objects used in constructions to reduce screen clutter.
¦ Differentiates objects through the use of paint-like color and line palettes.
¦ Computes a locus continuously.
¦ Illustrates the dynamic characteristics of figures through animation.
¦ Allows the user to save drawings and macros to disk.
¦ Opens geometry constructions created on the TI-92.
¦ Provides one square meter of full-size work space, and prints the 8.5 by 11.0 inches (21.59 by
27.94 cm) drawing area.
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
About Cabri Geometry II
Cabri Geometry II lets you construct and explore geometric objects interactively.
Jean-Marie Laborde and Franck Bellemain developed Cabri Geometry II at the Institut
d'Informatique et Mathématiques Appliquées de Grenoble (IMAG), a research lab at the Université
Joseph Fourier in Grenoble, France, in cooperation with the Centre National de la Recherche
Scientifique (CNRS) and Texas Instruments.
Texas Instruments, the publisher for Cabri Geometry II in the United States and Canada, is pleased
to bring computer-based geometry to classrooms. The geometric foundation of this easy-to-use
software encourages exploring and conjecturing—from simple shapes to advanced projective and
hyperbolic geometry.
About the Developers
Jean-Marie Laborde is founder and Research Director of Laboratoire de Structures Discrètes et de
Didactique (LSD2), a research laboratory within IMAG. He graduated in mathematics at Ècole
Normale Supérieure in Paris in 1969. He earned a Ph.D. (Thèse d'État) in computer science at the
University of Grenoble in 1977. Jean-Marie began work on the Cabri II project in 1981 as an
environment for graph theory. He has devoted his research efforts to the use of geometric methods
for the study of different classes of graphs, especially hypercubes.
Franck Bellemain earned a Ph.D. in mathematics at the Université Joseph Fourier in 1992. He
began work on the Cabri II project in 1986 and is responsible for writing several versions of the
software for Macintosh, PC-compatible, and Japanese computers. His research and thesis have
been devoted to the use of technology in the classroom.
Cabri Geometry II Features
¦ Includes interactive analytic, transformational, and Euclidean geometry.
¦ Allows intuitive construction of points, lines, triangles, polygons, circles, and other basic
objects.
¦ Translates, dilates, and rotates geometric objects around geometric centers or specified points
plus reflection, symmetry, and inverse of the objects.
¦ Constructs conics easily, including ellipses and hyperbolas.
¦ Explores advanced concepts in projective and hyperbolic geometry.
¦ Annotates and measures figures (with automatic updating).
¦ Uses both Cartesian and polar coordinates.
¦ Provides for user display of the equations of geometric objects, including lines, circles,
ellipses, and coordinates of points.
¦ Allows the user to create macros for frequently repeated constructions.
¦ Lets the teacher configure tool menus to focus student activities.
¦ Checks geometric properties to test hypotheses based on Euclid’s five postulates.
¦ Hides objects used in constructions to reduce screen clutter.
¦ Differentiates objects through the use of paint-like color and line palettes.
¦ Computes a locus continuously.
¦ Illustrates the dynamic characteristics of figures through animation.
¦ Allows the user to save drawings and macros to disk.
¦ Opens geometry constructions created on the TI-92.
¦ Provides one square meter of full-size work space, and prints the 8.5 by 11.0 inches (21.59 by
27.94 cm) drawing area.
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated.
Getting Started with Cabri Geometry II 3
4 Getting Started with Cabri Geometry II
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
Getting the Most from Getting Started
About the Getting Started Guide
The Getting Started guide introduces you to Cabri Geometry II with hands-on exercises. However,
it does not cover all features of Cabri II, nor does it demonstrate all the ways to construct any
particular object. Getting Started includes the following sections:
First Steps
This section provides system requirements and installation instructions for Cabri Geometry II and
briefly discusses the Cabri Geometry II tools.
Checking System Requirements.
Macintosh systems
Installing Cabri Geometry II.
Starting Cabri Geometry II.
Cabri Geometry II Desktop.
Quick Reference Sheet.
Geometry II toolbar
Basic Operations
This section provides step-by-step exercises that give you hands-on experience with several
features basic to the construction of geometric objects using Cabri Geometry II. To quickly learn
Cabri Geometry II, complete these four exercises.
Modeling: Handshakes.
problem for pattern recognition
Exploring: Transformations in the Coordinate Plane.
reflection, rotation, and dilation around the x and y axes
Exploring: Power (Steiner) of a Point Problem.
Euclid, and then move the point to calculate various powers and record them in a table
Describes requirements for Windows, DOS, and
.....................................................................
Explains how to install Cabri Geometry II
Explains how to start Cabri Geometry II
Briefly describes the Cabri Geometry II screen and toolbar
....................
......................
......
Gives a list of the tools under each toolbox in the Cabri
....................................................................
Use a circle, points, and line segments to model a real-world
.........................................................
Construct a triangle, and explore
...................................
Construct a point as described by
.......
6
6
7
8
9
11
18
25
Constructing a Macro: Pentagram.
Create a pentagram by inscribing pentagons to
illustrate some important features of macros.
Menu Options and Toolbar Commands
Menu Options.
Toolbar Commands.
and a brief description about the operation of each tool
Note: Most of the illustrations in this guidebook are from the Macintosh version of Cabri
Geometry II; several are from the Windows and DOS versions. Due to space limitations, we could
not show every illustration for each version. Therefore, some illustrations in this guidebook may
be slightly different on your computer.
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated.
Provides a quick reference and brief description of the menu options
Provides a quick reference to the tools available on each toolbar
............................................
........
....................................
Getting Started with Cabri Geometry II 5
32
38
40
First Steps
Checking system requirements
Macintosh DOS
¦ Macintosh Classic or better.
¦ System 6.0 or later.
¦ 1 Mb available RAM for a Macintosh
Classic. (Memory requirements will be
greater for color or larger monitors than on
the Classic.)
¦ Hard disk with 1.2 Mb available for
program and demonstration files.
Windows 3.1 Windows 95
¦ 386 PC or better required; 486DX
recommended.
¦ PC must be in 386-Enhanced mode with
Virtual Memory enabled.
¦ VGA, SVGA video adapter and a color
monitor.
¦ 6 Mb RAM (minimum) memory installed.
¦ 7 Mb available hard disk space for program,
demonstration files, and system extensions.
¦ Mouse, or an equivalent pointing device.
Installing Cabri Geometry II
¦ DOS-compatible computers (PCs), 386 or
better, and running MS-DOS 3.3 or later.
¦ EGA, VGA, SVGA video adapter and a color
monitor.
¦ 3 Mb RAM (minimum) memory installed.
¦ Hard disk with 2.5 Mb available for
program and demonstration files.
¦ Mouse, or an equivalent pointing device.
¦ 386 PC or better required; 486DX
recommended.
¦ VGA, SVGA video adapter and a color
monitor.
¦ 6 Mb RAM (minimum) memory installed.
¦ 2 Mb available hard disk space for program
and demonstration files.
¦ Mouse, or an equivalent pointing device.
Macintosh DOS
1. Create a folder named
Cabri II
on your hard
disk.
2. Insert the Cabri Geometry II Macintosh
diskette in your floppy disk drive.
3. Double-click on the
Installer
on the diskette
and follow the directions on the screen.
Windows 3.1 Windows 95
1. Insert the Cabri Geometry II Windows
diskette #1 in your floppy disk drive.
RUN
2. From Program Manager, click on
enter
A:\SETUP
, and then follow the screen
and
prompts.
Installing Cabri Geometry II on a network
If you have purchased the network license for Cabri Geometry II, you may run the software on
your network. Use network procedures that are compatible with your network to install Cabri
Geometry II. See your Macintosh, Windows, or DOS User’s manual or your network
documentation for more information, if necessary.
Note:
Cabri Geometry II is supplied on high-density diskettes. If your computer will not accept these
diskettes, call, 1-800-TI-CARES and a service representative will supply you with low density diskettes.
1. Insert the Cabri Geometry II DOS diskette
in your floppy disk drive.
2. At the DOS prompt, enter:
A:\INSTALL
B:\INSTALL
or
, and then
follow the screen prompts.
1. Insert the Cabri Geometry II Windows
diskette #1 in your floppy disk drive.
2. Click on
START/RUN
and enter
A:\SETUP
,
and then follow the screen prompts.
6 Getting Started with Cabri Geometry II
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
Installing Cabri Geometry II on a network
(continued)
Macintosh and DOS
1. Install Cabri Geometry II on the network server using the instructions given on the previous
page.
2. Run the program from the server the first time, and enter the requested information.
3. To run Cabri Geometry II on each network client, go to the directory on the network server
where the Cabri Geometry II application is installed. Macintosh users may double-click on
the Cabri II icon; DOS users may run Cabri2.exe to start the program.
The procedure described below, for Windows users, allows multiple client computers to run Cabri
Geometry II using the application software installed on the network server. Each client computer
is provided with the necessary system files to run Cabri Geometry II and a shortcut icon that is
linked to the application file on the network server.
Windows 3.1 and Windows 95
1. Install Cabri Geometry II on the network server using the instructions given on the previous
page. In the
Select Destination
screen, you must select a directory that will be accessible from each
client computer on the network.
2. Temporarily copy
setup.exe
and
setup.w02
from the installation diskettes to the same directory in
which you installed Cabri Geometry II in step 1.
3. On each network client, go to the directory on the network server that contains
double-click to on this file to run the setup program.
4. In the
Select Destination Directory
screen, click on the
that you used in step 1. Make sure the correct directory is displayed at the top of the window.
You may edit the path, if necessary, and then click on
already exists.
5. In the
Select Components
screen, deselect the first three components. The installation program
will determine if the fourth component is necessary for Windows 3.1x users.
6. When Cabri Geometry II has been installed on all client computers, delete the two files that
were temporarily copied to the network server in step 2.
setup.exe
Browse
button and select the same directory
OK
. Ignore the message that the directory
and
Starting Cabri Geometry II
Macintosh DOS
You can use one of four methods to start the
software on a Macintosh:
¦ Use
Open
¦ Double-click on the
¦ Double-click on any Cabri Geometry II
construction file, tool configuration file, or
macro file.
¦ Drag and drop any construction file onto
Cabri II
the
Windows
Double-click on the
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated.
Finder
in the
.
Cabri II
icon.
icon (System 7 users only).
Cabri II
icon.
Type
CABRI
and press
ENTER
from the DOS
prompt directory where the Cabri Geometry II
files are located.
(Optional) Add the Cabri directory to your DOS
path to open Cabri Geometry II from any
directory.
Getting Started with Cabri Geometry II 7
First Steps
y
y
(Continued)
About Cabri Geometry II Tools
In Cabri Geometry II, you use one construction tool at a time. The tools are displayed as groups of buttons
on the toolbar across the top of the screen. The buttons, often called “toolboxes,” are referenced from left
to right in the text.
Cabri Geometry II Screen
The screen shown below illustrates the Macintosh version. Screens on Windows and DOS systems are
similar but slightly different.
Menu
Bar
Close
Box
Attribute
Icons
Drawing
Window
Help Icon
Toolbar
Zoom
Box
Attribute
Palette
This circle
Size
Box
Pointer Message
Help Window
Selection Pointer
Cabri Geometry II Toolbar
Pointer
Points
Lines
Curves
Construct
Transform
Check Propert
Measure
Displa
Draw
8 Getting Started with Cabri Geometry II
Scroll Bars
Macro
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
QUICK REFERENCE SHEET:
CHECK PROPERTY
CABRI GEOMETRY II
CABRI TOOLBAR
Pointer Perpendicular Line Equation and Coordinates
Rotate Parallel Line Calculate
Dilate Midpoint Tabulate
Rotate and Dilate Perpendicular Bisector
Collinear
Parallel
Perpendicular
Equidistant
Member
MEASURE
Distance and Length
Area
Slope
CONSTRUCTPOINTER
Angle
DISPLAY
POINTS
Point Vector Sum Comments
Point on Object Compass Numerical Edit
Intersection Point Measurement Transfer Mark Angle
LINES
Line Redefine Object Trace On/Off
Segment Animation
Ray Translation Multiple Animation
Vector Rotation
Triangle Dilation
Polygon Reflection Color
Regular Polygon Symmetry Fill
CURVES
Circle Dotted
Angle Bisector Label
Locus Fix/Free
TRANSFORM
DRAW
Hide/Show
Inverse Thick
MACRO
Arc Initial Object Modify Appearance
Conic Final Object
Define Macro New Axes
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated.
Getting Started with Cabri Geometry II 9
Show/Hide Axes
Define Grid
10 Getting Started with Cabri Geometry II
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
Modeling: Handshakes
Problem: Four friends meet at a party. Each
wants to shake hands with the others. How many
handshakes take place? A fifth friend enters the
room—then a sixth and seventh. How many
handshakes are there?
You can use Cabri Geometry II to model this
situation by constructing points on a circle to
represent the friends and line segments to
People New handshakes Total handshakes
4
5
6
7
n
represent the handshakes.
Step-by-step instructions are given below. Follow the steps and fill in the chart at the right. Do you see a
pattern?
Get ready
1. Start Cabri Geometry Geometry II. Click anywhere in the
drawing window to remove the initial screen. The drawing
window appears.
Construct a circle to represent the party
2. The fourth button on the toolbar represents the currently
Curves
selected tool in the
been assigned names for convenience—the names do not
appear on the screen.) Click and hold on that tool to pull
down the menu of tools used to construct curved lines.
3. Point to and click on the
the toolbox. Notice that this button is lighter than the others
and has the appearance of a button that is pushed in. This
Circle
tells you that
is the currently selected tool.
4. Move the " (pointer) toward the center of the drawing
window. As you move the " onto the drawing window, it
changes to a # (pencil) so that you can “draw” a circle. Click
and release the mouse button. A dot appears.
5. Move the # away from the point. (Do not hold the mouse
button down.) As you move the #, a circle appears. Continue
to move the # to change the size of the circle. When the
radius of the circle is about two or three inches, click again.
Notice that the
Circle
you can make another circle immediately, without having to
select from the toolbar again.
toolbox. (The toolboxes have
Circle
. The circle tool is displayed in
tool is still highlighted, indicating that
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
Getting Started with Cabri Geometry II 11
Modeling: Handshakes
(Continued)
Move and resize the circle
6. Instead of making another circle, practice moving and
resizing the circle. The tools for moving and resizing are in
Pointer
the
Begin by pulling down the
select the
7. Move the " into the drawing window. Notice that the "
changes to a ! (cross hair). Move the ! to the point at the
center of the circle. It changes to a $ (pointing hand) and
the message
Cabri Geometry II recognizes all the objects you create and
informs you when the cursor is close enough to an object
for you to select it or perform some other activity.
Click once on the mouse button. The point flashes,
indicating that the point is selected.
8. Click and hold the mouse button. The $ changes to a %
(grasping hand) to show that you can move the object.
While holding the mouse button down, drag the point
toward the right to move the circle. Release the mouse
button. (Note: You don’t have to select a point to move it.)
toolbox, which is the first toolbox on the toolbar.
Pointer
toolbox; then point to and
Pointer
tool (").
This point
appears.
This point
9. Now move the $ away from the center point. It changes
back into a !. Move the ! toward the circumference until it
changes to the $ with the message
This circle
.
Click once on the mouse button. (Do not hold the mouse
button down.) The circumference appears to be moving or
flashing. This marquee outline indicates that the
circumference is selected.
To deselect the circle, move the $ until it changes to a !
and then click. The circumference no longer appears to be
moving.
10. Move the ! near the circumference until the $ appears.
Click and hold the mouse button. The $ changes into a %.
Enlarge the circle to fill the screen by dragging the
circumference. Release the button.
This circle
12 Getting Started with Cabri Geometry II
Copying permitted provided TI copyright notice is included
© 1997, 1999 Texas Instruments Incorporated
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