CABRI® 3D
Contents
1. CREATING NEW PAGES WITHIN A DOCUMENT Every Cabri 3D document can contain multiple pages As well as we saw in the previous section every page can contain several work areas New page with pre selected perspectives To add a page to your document rues 0507 4 4 8 choose Document Add Page Cabri 3D will present several choices You can choose from a number of pre selected perspectives for your page as well as several paper sizes US letter A4 etc As an example choose Technical Drawing US Layout Note that each new page is placed immediately following the active page To remove a page click anywhere in the page to select it then choose Edit Delete Page New page with a greater choice of perspectives Choose Document Add Page then select a blank page e g Empty US Letter Portrait Click in the new page to select it then choose Document Add View You can now choose a view from among all the perspectives provided by Cabri 3D CREATING A NEW DOCUMENT WITH A CHOICE OF PERSPECTIVES To choose a perspective when creating a new document choose File New From Template You can now select one of the standard pre selected perspectives For a wider choice create a blank page and select a new view with a specific perspective as explained in the previous section CHANGING THE DEFAULT PERSPECTIVE AND PAPER FORMAT FOR NEW DOCUMENTS By default Cabri 3D chooses the natura2. key or select a point on another plane than that of the polygon Convex Polyhedron Lets you construct a polyhedron directly To create a three dimensional polyhedron use the Convex Polyhedron tool to construct a convex envelope of 3 or more points then add one or more points on another plane using an existing object or the key To finish the construction click a second time on the last point constructed or some other point of the construction or press the Enter key Return key on Macintosh Lets you construct a polyhedron that incorporates existing objects Use the Convex Polyhedron tool to select one or more of the following objects polygons segments edges of polyhedrons or points You can also construct new points during the construction To create a three dimensional polyhedron at least one of the points or objects must be on a different plane than the others To finish the construction click a second time on the last point constructed or some other point of the construction or press the Enter key Return key on Macintosh Open Polyhedron Lets you open the faces of a polyhedron and then lay them flat in order to create a pattern Construct a polyhedron With the Open Polyhedron tool click on the polyhedron To open the polyhedron more completely use the Manipulation tool and drag one of the faces with the mouse To open a single face hold down
3. To change the label font or other attributes click the right mouse button Ct r1 click on Macintosh to use the contextual menu See Section 4 8 CONTEXTUAL MENUS triangle ABC CREATING INDEPENDENT TEXT AREAS Cabri 3D lets you create independent text areas that can be used for notes legends etc To create an independent text area choose Document Add Text Area To change the size of the text box first click the border to show the resize handles Then drag one or more of these handles to resize the text box as desired To enter text click outside the text box to hide the resize handles then click in the box to type To move the text box again click the border to show the resize handles Next click inside the box and move it using the cross pointer that appears Figure 24 Cone date of realisation etc To change the label font or other attributes click the right mouse button Ctr1 click on Macintosh to use the contextual menu See Section 4 8 CONTEXTUAL MENUS THE MASK SHOW COMMAND This command lets you hide existing objects and show them again as required To hide an object select it using the Manipulation tool then choose Edit Mask Show to hide it To select several items hold down the Ctr1 key on Macintosh To show an hidden object you must first display all hidden objects to choose it Make sure the Active View window is open Window Active View then cli
4. click to confirm Intersection curve Lets you construct the line of intersection of 2 planes Lets you construct the conic of intersection of a plane and a cone sphere or cylinder Lets you construct the circle of intersection of 2 spheres 3 4 SURFACES Plane Lets you construct new planes in various ways To use this tool you must construct at least one point situated above or below the base plane this point may be situated on an object or constructed using the key A plane passing through 3 points one of which is constructed using the key construct or select 2 points on the VP of the base plane hold down the key and move the mouse upwards without clicking click to confirm A plane passing through 3 points A plane passing through 2 coplanar lines or parts of lines A plane passing through a line or part of a line and a point A plane defined by an existing triangle or polygon move the mouse close to the triangle or polygon until the plane appears click to confirm ray segment vector edge of a polyhedron h Half plane Lets you construct a half plane delimited by a line or part of a line and passing through a point Sector Lets you construct a sector defined by a point of origin and 2 other points 02 la Triangle Lets you construct a triangle defined by 3 points On the base plane construct or select
5. area that is a white area with a gray base plane in the center YOUR FIRST 3D CONSTRUCTION First you will construct two three dimensional objects This will illustrate a number of Cabri 3D functions Constructing a sphere KA Fle Displey Document Window Heb A toolbar at the top of the Cabri document ay t window provides a series of toolboxes Click Ea and hold the Surfaces toolbox fourth button from the left and choose Sphere from the sh dropdown menu ES The mouse pointer changes into a pencil Click once about 1 cm to the left of the base plane s center point then click again about 2 cm to the left of the first point You have constructed a sphere To modify the sphere click and hold the Manipulation toolbox the first button in the toolbar and choose the Manipulation tool To change the size of the sphere use the mouse to click and drag either the first or second point that you constructed To move the sphere select it and drag it to a new position using the mouse Constructing a polyhedron Click and hold the Polyhedron toolbox the next to last button in the toolbar and choose the XYZ Box from the dropdown menu Click on the gray base plane just to the right of the sphere Next move the mouse about 2 cm to the right and 1 cm upwards Hold down the key and move the mouse about 5 cm upwards then click You have constructed an XYZ
6. first month the program will run in demonstration mode for 15 minutes at a time with the Copy Save and Export commands disabled To activate the program permanently you must purchase a license from the Cabri website www cabri com or from your local distributor You will be emailed a license cg3 that you must open with Cabri 3D to activate 1 1 3 Updates To check if you are using the most recent version of Cabri 3D choose the Updates command from the program s Help menu then follow the instructions to obtain any needed update HOW TO USE THIS GUIDE Cabri 3D is easy to understand and easy to use but you will learn the program much more quickly and easily if you take the time to work carefully through the next two chapters Chapter 2 BASIC PRINCIPLES is an accelerated introduction to using Cabri 3D and not just a list of functions and commands Work through the various procedures in order and you will quickly grasp how the program works while producing your first Cabri 3D constructions Chapter 3 CABRI 3D TOOLS 15 also designed to be studied step by step to help you learn Cabri 3D as easily and quickly as possible The remaining chapters of the User Guide describe Cabri 3D s various complementary and advanced functions BASIC PRINCIPLES CREATING YOUR FIRST CABRI 3D DOCUMENT Double click on Cabri 3D icon The program will automatically create a single page document containing a work
7. the key To open the face s in multiples of 15 hold down the Ctrl key Option on Macintosh Once you have created a polyhedron pattern you can print it and use it to create a real model See Section 4 71 CREATING PRINTABLE PATTERNS NETS Cut polyhedron Lets you construct the intersection of a polyhedron and the half space delimited by a plane and hide part of the polyhedron Construct a polyhedron Construct a plane that intersects the polyhedron Using the Cut Polyhedron tool select the polyhedron select the intersecting plane The hidden part of the polyhedron is the one closest to the front To bring another part of the polyhedron to the front use the Changing the View Angle function section 2 5 to rotate the construction To show the hidden part of the polyhedron use the Mask Show function section 4 3 3 8 REGULAR POLYHEDRA Regular Polyhedra Platonic solids Lets you construct a polyhedron directly Select a plane Construct a first point Construct a second point The second point must be placed on the VP of the selected plane or on an existing object on the NVP of this plane Note to place a regular polyhedron somewhere other than on the VP of the plane first construct it on the VP and then move it using the Manipulation tool Lets you construct a polyhedron defined by an existing regular polygon Use the appropriate regular polyhe
8. the points on the VP or NVP On another plane construct or select the points on the VP or on an object already constructed on the NVP of this plane once the triangle has been constructed you can move it onto the NVP You can also construct a triangle by constructing or selecting any 3 points Polygon Lets you construct a polygon defined by 3 or more points To finish a polygon click a second time on the last point constructed or some other point of the polygon or press the Enter key Return key on Macintosh On the base plane construct or select the points on the VP or NVP On another plane construct or select the points on the VP or on an object already constructed on the NVP of this plane once the polygon has been constructed you can move it onto the NVP You can also construct a polygon by constructing or selecting any coplanar points 4 Cylinder Lets you construct a cylinder around a line or a ray which becomes the axis and passing through a point Lets you construct a cylinder around a part of a line segment vector or edge of a polyhedron which becomes the axis and passing through a point In this case the height of the cylinder is limited by the length of the part of the line In question ray segment vector edge of a polyhedron Cone Lets you construct a cone defined by a point the vertex and by a ci
9. you create in a document they all contain the same group of constructions The purpose of multiple pages or views is precisely to let you see your group of constructions from various perspectives CREATING NEW WORK AREAS To understand how work areas operate open a new document by choosing File New Construct an XYZ box and a sphere To create a new work area with a different perspective choose Document Add View Dimetric k 1 2 In this new work area you are looking at your construction from above To enlarge or reduce a work area choose the Manipulation tool Click the border of the work area to show the resize handles then drag one or more of these handles to resize the work area as desired To move a work area first click its border to show the resize handles then click inside the work area and drag to move it To delete a work area first click its border to show the resize handles then press the Delete key to remove it Simultaneous updating of work areas Select the Manipulation tool and change the size of the sphere or the box As you can see your changes are immediately visible in the bottom work area Do the same thing again but this time in the bottom work area Once again your changes are visible in the top work area as well If you make a change in any work area it will always be immediately visible in all other work areas as well as in any new work areas or pages you add to a document
10. Box To modify the XYZ Box choose the Manipulation tool and follow the same procedures you used with the sphere see the previous section CREATING A NEW DOCUMENT To build a new set of constructions you should create a new document Choose File New The program will create a new document with a work area displaying a natural perspective To add pages or work areas to a document or to choose from a wider selection of perspectives see Chapter 5 ADVANCED FUNCTIONS THE CONCEPT OF PLANES To really understand how Cabri 3D works you need to grasp the concept of planes In this section each object you construct in Cabri 3D is placed on a plane known as the base plane Create a new document The gray surface in the center is known as the Visible Part VP of the base plane All constructions that you will build in this section either on the VP or outside it are necessarily placed on this base plane Later you will see that you can add other planes to your documents To see how this works start by constructing two XYZ boxes on the VP Next construct two new boxes outside the VP in the upper part of the work area After you construct each box slide the mouse pointer above the VP Now construct a box in the lower part of the work area As you can see the upper boxes are lighter and the lower boxes are darker which contributes to the perspective effect All these boxes are placed on the same p
11. CABRI CABRILOG Innovative Math Tools cee USER MANUAL o D TABLE OF CONTENTS CHAPTER 1 INTRODUCTION P5 INSTALLING AND ACTIVATING THE PROGRAM ED P6 HOW TO USE THIS GUIDE ED 7 CHAPTER 2 BASIC PRINCIPLES P9 CREATING YOUR FIRST CABRI 3D DOCUMENT P9 YOUR FIRST 3D CONSTRUCTION E gt CREATING A NEW DOCUMENT P10 THE CONCEPT OF PLANES ED P10 CHANGING THE VIEW ANGLE E gt P11 POINTS IN SPACE E gt p42 CHAPTER 3 CABRI 3D TOOLS P15 MANIPULATION P15 POINTS ED P16 CURVES ED P16 SURFACES ED P18 RELATIVE CONSTRUCTIONS es P 20 REGULAR POLYGONS D 21 POLYHEDRA 21 REGULAR POLYHEDRA ED P 23 TRANSFORMATIONS E gt P24 IMPORTANT INFORMATION ABOUT POINTS AND THE 210 P25 REDEFINITION TOOL USING THE REDEFINITION TOOL P26 KEYBOARD CONTROLLED FUNCTIONS AND SHORTCUTS EB P26 A USEFUL TECHNIQUE FOR MANIPULATING OBJECTS P 27 CHAP TER 4 COMPLEMENTARY FUNCTIONS P29 CREATING TEXT LABELS FOR OBJECTS 41 P29 CREATING INDEPENDENT TEXT AREAS ED P 30 THE MASK SHOW COMMAND ED P 30 ANIMATION ED P 31 AUTO ROTATE ED P 32 MODIFYING OBJECTS GRAPHIC ATTRIBUTES ED P 32 CREATING PRINTABLE PATTERNS NETS P33 CONTEXTUAL MENUS ED P 34 ADVANCED FUNCTIONS P37 THE CONCEPT OF WORK AREAS P 37 CREATING NEW WORK AREAS P37 CREATING NEW PAGES WITHIN A DOCUMENT 38 CREATING NEW DOCUMENT WITH CHOICE ED P 33 OF PERSPECTIVE CHANGING THE
12. DEFAULT PERSPECTIVE AND PAPER E gt 39 FORMAT FOR NEW DOCUMENTS DISPLAY OPTIONS i P 33 EXPORTING DYNAMIC AND STATIC CABRI 3D IMAGES P 33 2006 CABRILOG SAS Cabri 3D User Manual Authors Sophie and Pierre Ren de Cotret Montr al Qu bec Canada English translation Simon Horn Latest update January 2006 New versions www cabri com To report errors support cabri com Graphic design page layout amp second readings Cabrilog INTRODUCTION Welcome to Cabri 3D s world of spatial and solid geometry Cabri technology was born in the research labs of France s Centre National de la Recherche Scientifique CNRS and Joseph Fourier University in Grenoble The project began in 1985 when Jean Marie Laborde the guiding spirit behind Cabri set out to make two dimensional geometry easier to learn and more enjoyable to teach Using computers to construct geometrical figures opens up a world of new possibilities compared to the classic methods of construction using pencil paper ruler and compass Around the world more than 30 million people are using Cabri Geometry and Cabri Geometry 11 Plus on computers and Texas Instruments graphing calculators Today Cabri 3D brings the Cabri philosophy to the world of 3D Using Cabri 3D you will quickly learn to construct view and manipulate all sorts of objects in three dimensions lines planes cones spheres polyhedra You can build dynamic constructions fro
13. anipulation tool For example even with the Tetrahedron or some other tool selected you can move a sphere or change the orientation of a line etc Simply select a point or an object hold down the mouse button and move the selected object To identify points that can be manipulated directly Some points cannot be manipulated directly with the mouse once they have been constructed This is the case with intersection points for example or for points that are the result of a transformation Cabri 3D provides a way to identify these points as well as those that can be moved directly with the mouse Simply hold down the mouse button in an empty part of the work area Points that can be manipulated directly will temporarily grow bigger while the others will stay their normal size CHAPTER COMPLEMENTARY FUNCTIONS CREATING TEXT LABELS FOR OBJECTS Cabri 3D lets you associate text labels with the various objects in your constructions These labels can serve as notes to yourself or simply as a means of naming the various objects To create a label select an object point sphere line plane etc with the Manipulation tool then enter the desired text Note that if you enter a number immediately following a letter it will automatically be displayed as an index e g line d To move a label simply select it with the Manipulation tool and move it To change the label text simply double click in the text area
14. bitmap image To export a Cabri 3D image to another program you must first copy the image to the Clipboard in bitmap format First click in a work area to activate it then choose Edit Copy Selected View As Bitmap and choose the desired image resolution from the sub menu Note that creating a high resolution image may take 30 seconds or more Paste the resulting image into the program of your choice word processor presentation software 5 7 4
15. ck the Show Masked Objects check box Outlines of all hidden objects will appear Select the hidden object you want to show then choose Edit Mask Show to show it Repeat this for all the hidden objects you want to show or select several objects simultaneously using the Ctr1 key on Macintosh Please note that the outline display of masked objects only applies to the currently selected work area view To learn more about creating multiple work areas see Chapter 5 ADVANCED FUNCTIONS ANIMATION Cabri 3D enables you to create automatic animations of your objects By creating a moving point on a circle or a segment you can then move all types of objects linked to this point The results can be impressive since you can cause a line to move increase or decrease the volume of a sphere make a triangle oscillate and so on To understand how this works first construct a circle and a segment in the positions shown in the illustration on the right Then construct a new point on the circle and a new point on the segment as shown Use the Perpendicular tool to construct a line passing through the last point you added to the circle Next use the Sphere tool to construct the center of a sphere about 1 cm behind the last point you constructed on the segment Then use this same point to define the radius of the sphere Your construction should look like the illustration on the right To start the animation follow these ste
16. d select all required objects Delete selected objects Press Delete Press Delete Stop construction of an unfinished object e g stop constructing a triangle after creating 2 of its Press Esc Press Esc 3 points Cancel the selected tool and choose the Press Esc Press Esc Manipulation tool 4 base plane move the point vertically then click Function PC Macintosh Deselect a selected object Press Ctrl clic Press Y clic Construct a point or an object above or below the Hold down the 0 key Hold down the fy key move the point vertically then click Move vertically an existing point or object constructed above or below the base plane Hold down the 4 key then move the object vertically Hold down the fi key then move the object vertically Move vertically in increments of 5 mm an existing point or object constructed above or below the base plane Hold down the ctr1 keys then move the object vertically Hold down the Option keys then move the object vertically Move horizontally in increments of 5 mm an existing point or object constructed above or below the base plane Hold down the Ctrl key then move the object horizontally Hold down the Option key then move the object horizontally A USEFUL TECHNIQUE FOR MANIPULATING OBJECTS To move existing objects easily You can move existing points or objects without switching to the M
17. dron tool to select a polygon of the same type as the polyhedron to be constructed Or use the appropriate regular polyhedron tool to select a face of a polyhedron i e a polygon of the same type as the polyhedron to be constructed Note to construct the polyhedron in the half space opposite to that proposed by default hold down the Ctrl key Option key on Macintosh 3 9 TRANSFORMATIONS Central symmetry defined around a point Select the object or part of an object to be transformed Select or construct a point as the center of symmetry Half turn defined around a line or part of a line Select the object or part of an object to be transformed Select a line or part of a line as the axis of symmetry Reflection Select the object or part of an object to be transformed Select a plane or part of a plane as the plane of symmetry Translation defined by a vector or 2 points First select a vector or 2 points or construct the points directly Select the object or part of an object to be transformed Rotation around an axis and points Select the object or part of an object to be transformed Select a line or part of a line as axis of rotation Select or construct 2 points ray segment vector edge of a polyhedron half plane sector polygon Example of advanced use of Rotation around an axis and points In this example we construct th
18. e image of triangle MNP by selecting line D and points A and B The angle of the rotation is the angle between the two half planes the half plane with border D containing point A the half plane with border D containing point B This angle is also equal to OA OB B being the orthogonal projection of B on the plane perpendicular to D and passing through A IMPORTANT INFORMATION ABOUT POINTS AND THE REDEFINITION TOOL Points are linked to the objects on which they are constructed Normally points are attached to the objects on which they were constructed A point constructed on a sphere for example cannot be moved onto another object or onto a plane Points constructed on the VP of a plan may be moved but only onto the NVP of the plane and not onto other objects To free these points you must use the Redefinition tool See section 3 11 for an explanation of how it functions Moving points in space above or below the base plane Points that were originally constructed in space or on the NVP of the base plane may be moved vertically above or below the base plane by using the Manipulation tool and holding down the N key However points that were originally constructed on an object or on the VP of the base plane cannot normally be moved vertically in space To free these points you must use the Redefinition tool See section 3 11 for an explanation of how it functions 3 10 Note
19. if you wish to construct points on the VP of the base plane that can be moved vertically without using the Redefinition tool you must first construct them on the NVP and then move them onto the VP CHRE USING THE REDEFINITION TOOL clicking e click a second time to confirm To free a point in order to then move it from one object to another from a sphere to a plane or from a plane to a vertex of a polyhedron for example you must use the Redefinition tool which is found in the Manipulation toolbox the first button in the toolbar To use the Redefinition tool e click once to select the point to be redefined then release the mouse button move the mouse towards the new object without clicking e click a second time to place the point on the new object in the desired position The Redefinition tool also lets you change a point originally constructed on the VP of a plane or on an object into a point in space which can then be moved vertically above or below the base plane To do this e click once to select the point to be redefined then release the mouse button e move the mouse towards a new destination without to move the point vertically hold down the key MES KEYBOARD CONTROLLED SHORTCUTS AND FUNCTIONS Function PC Macintosh Selecting more than one object using the Manipulation tool Hold down the Ctr1 key and select all required objects Hold down the T key an
20. int s Lets you construct the intersection point or points of 2 objects 2 lines a line and a sphere etc 3 3 CURVES Line Lets you construct a line passing through 2 points Lets you construct the line of intersection of 2 planes move the mouse pointer near the intersection between 2 planes to display the line click to confirm Ray Lets you construct a ray passing through 2 points The first point is the origin of the ray Segment Lets you construct a segment bounded by 2 points Vector Lets you construct a vector bounded by 2 points The first point is the origin of the vector Circle Lets you construct circles in various ways A circle defined by 2 points center and radius on the base plane click on the VP to select the plane construct the circle on the VP or the NVP A circle defined by 2 points center and radius on another plane click on the VP to select the plane construct the center point of the circle on the VP construct the point defining the radius also on the VP or on an existing object on the NVP of this plane Note once constructed the circle can be moved onto the NVP using the Manipulation tool A circle defined by 3 existing points construct the circle passing through the three points A circle defined by 3 points some of which have not yet been constructed construct the circle by selecting the existing points and then co
21. isible part of a plane the invisible extension of the visible part of a plane Tool help Cabri 3D provides interactive help for every tool To activate it choose Help Tool Help 3 1 MANIPULATION Manipulation Lets you select points and objects Lets you move points and objects and as a consequence all objects that depend on them Redefinition The Redefinition tool lets you change the way points can be moved See sections 3 10 and 3 11 for an explanation of how it functions o 3 2 POINTS Point on a plane in space or on an object Lets you construct points in different ways These points can then be used to anchor the construction of various objects segments planes polyhedrons Construct points on the VP of planes Construct points in space By default these points are constructed on the NVP of the base plane Construct points anywhere on objects Polyhedrons as well as polygons with 4 sides or more are an exception points can only be constructed on their vertices Point in space above or below the base plane Lets you construct points in space above or below the base plane Hold down the key Use the mouse to move the point up or down to the desired position Click to confirm again move vertically a point constructed using the key use the Manipulation tool again hold down the key and move the point Intersection po
22. l perspective To change the default perspective or paper format choose Edit Preferences on Macintosh choose Cabri 3D Preferences then use the Template menu to choose the format desired In North America for example you might choose US Letter paper either blank or with a specific perspective DISPLAY OPTIONS The Display menu lets you change the display scale from 1 4 reduction to 4 1 enlargement As well the Adjust to page command fits the whole page in the current window while the Adjust to view command fits the selected view to the current window The Vertical Layout Horizontal Layout and Two Page Layout commands let you change the arrangement of pages These commands are only available if a document has two or more pages EXPORTING DYNAMIC AND STATIC CABRI 3D IMAGES Cabri 3D allows you to export dynamic images which the user can then manipulate to Microsoft Office applications on PC only and to most Internet browsers on both PC and Macintosh You can also export static bitmap images to other applications 5 7 0 5 7 3 Inserting dynamic image Microsoft Office application Instructions for PC In Windows an ActiveX control is used to view Cabri 3D documents In a Microsoft Office document Word PowerPoint choose Insert Object Cabri 3D Then using the contextual menu choose Object Cabri3ActiveDoc Import and select the file to display Next choose Object Cabri3ActiveD
23. lane either on the VP or on an invisible extension of this VP which is known as the Non Visible Part NVP CHANGING THE VIEW ANGLE You can view your construction from various angles as if it were contained in glass ball that you can rotate in any direction To change the view angle of the scene put the mouse pointer anywhere in the work area hold down the right mouse button and move the mouse Begin by moving the mouse up and down By changing the view angle you can see that all the boxes you constructed earlier really are on the same plane whether above or below it Now move the mouse left and right instead of up and down as you Can see this changes the angle horizontally To change the view angle on a Macintosh with a single button mouse first hold down either the 36 or the Ctrl key then click drag with the mouse Change the view angle often while you work It will give you a Clearer view of your work and a better grasp of the program s capabilities If you are building a complex construction changing the angle may make it easier to add new objects POINTS IN SPACE Points that are not constructed on an existing object or plane are points in space As we saw in section 2 4 by default these points in space are constructed on the invisible extension of the VP of the base plane However points constructed in space have the particular property that they can be moved vertically af
24. lected reference plane you must use a point that is somewhere other than on this reference plane ray segment vector edge of a polyhedron Perpendicular bisector Lets you construct a plane midway between 2 existing points or 2 points constructed for the purpose Lets you construct a plane in the middle of a segment a vector or the edge of a polyhedron Note the plane constructed will be perpendicular to the selected part of the line or to the line defined by the 2 selected points Midpoint Lets you construct the midpoint between 2 points Lets you construct the midpoint of a segment a vector or the edge of a polyhedron Vector sum From a selected point of origin lets you construct the vector resulting from the addition of 2 other vectors TRANSFORMATIONS The Transformation tools are presented in section 3 9 3 6 REGULAR POLYGONS Lets you construct regular polygons on a given plane select a plane construct the polygon by defining the center point and another point when constructing the polygon the second point must be positioned on the VP of the plane or on an existing object on the NVP of the plane once the polygon is constructed however you are free to move it into the NVP Lets you construct polygons around a line select a line or part of a line select or construct a point 3 7 POLYHEDRA Important note for constructing polyhedra To constr
25. lick Macintosh to activate the view angle control see Chapter 2 BASIC PRINCIPLES Change the view angle with a quick movement of the mouse left or right then release the mouse button Rotation will start To stop the rotation click on the right mouse button again MODIFYING OBJECTS GRAPHIC ATTRIBUTES Cabri 3D lets you change the appearance of planes and objects Changing the graphic attributes of existing objects You can easily see the possible results of changing the graphic attributes of existing objects To do this make sure the Styles window is open Window Styles Next use the Manipulation tool to select an object The objects attributes will be listed in the Styles window and you can change them and see the results immediately To change the color of an object click the color box to the left to display the color palette You can also change objects attributes using the contextual menu see Section 4 8 CONTEXTUAL MENUS Changing default attributes You can also change the default graphic attributes Cabri 3D uses when creating new objects To change the defaults choose Edit Preferences Default Visible Styles on Macintosh choose Cabri 3D Preferences then Default Visible Styles You can change the defaults for all families of objects points lines planes etc To change the color of an object click on the color box to the left to display the color palette Changes to the default att
26. m the simplest to the most complex and you can freely manipulate change and redefine objects as needed With Cabri 3D you will discover a remarkable tool to help you study and solve geometry problems The whole CABRILOG team wishes you many exciting hours of construction exploration and discovery thanks to Cabri 3D Note To get the latest news about our products and for the most recent updates of Cabri 3D including updated versions of this guide visit our website at www cabri com The site also provides links to dozens of web pages and books about geometry and Cabri INSTALLING AND ACTIVATING THE PROGRAM System requirements Supported operating systems PC Windows 98 IE5 Me NT4 2000 amp XP Macintosh Mac OS X version 10 3 or higher Minimum configuration for PC 800 MHz or greater CPU 256 MB or greater RAM OpenGL compatible graphic card with 64 MB or greater RAM 1 1 2 Installation Using the CD ROM from the box version PC Insert the CD ROM and follow the instructions If autostart is deactivated launch the setup exe program on the CD ROM manually Macintosh Copy the Cabri 3D program icon to the Applications folder The first time you launch the program you will be asked to enter your user information and the product key the CD key is shown inside the CD ROM case Using the download version The program will run in evaluation mode for one month with all functions available After the
27. ns color line width etc choose Edit Preferences Default Visible Styles on Macintosh choose Cabri 3D Preferences then Default Visible Styles Then choose Nets from the list Attributes can also be changed using the contextual menu See Section 4 8 CONTEXTUAL MENUS CONTEXTUAL MENUS Cabri 3D provides various contextual menus To access them move the mouse pointer into any of the following environments then click briefly with the right mouse button On a Macintosh with a single button mouse first hold down either the 26 or Ct r1 key then click briefly Environment Examples of functions provided by the contextual menu Object Change graphic attributes Some Edit menu commands Text label Text color and font Some Edit menu commands Independent text box Text box background color Some Edit menu commands Text selected in an independent text box Text color and font alignment etc Some Edit menu commands Blank portion of a work area Page Background color Auto rotate Show masked objects Some Edit menu commands Document menu commands Add Page etc Some Edit menu commands Pattern on a net page Change graphic attributes Some Edit menu commands ADVANCED FUNCTIONS THE CONCEPT OF WORK AREAS A Cabri 3D document can include a number of pages and work areas or views No matter how many pages or work areas
28. nstructing the others as needed by clicking on the desired objects Note you cannot construct the first point on the VP of a plane in this case select an existing point A circle around a line select a line or part of a line select or construct a point Compass circle whose radius is controlled by the length of a vector or segment construct a vector or segment or use an existing vector or segment use the Circle tool to select a plane construct or select the center point of the circle select the vector or segment that defines the radius Note the vector or segment may be situated anywhere Circle of intersection of 2 spheres or of a sphere and a plane move the mouse close to the area of intersection until the circle appears click to confirm ray segment vector edge of a polyhedron Conic Lets you construct a conic passing through 5 coplanar points on the base plane the points can be on the VP or the NVP on another plane the points must be on the VP or on an existing object on the NVP of this plane a can also be constructed by constructing or selecting any 5 coplanar points Lets you construct a conic tangent to 5 coplanar lines select 5 lines on the same plane Lets you construct the conic of intersection of a plane and a cone sphere or cylinder move the mouse close to the area of intersection until the conic appears
29. oc Manipulate in the contextual menu To view a dynamic image in a Microsoft Office application Cabri 3D must be installed on the computer either the demo or the full version Instructions for Macintosh This function is not available Inserting a dynamic image in a web page In a web page insert the following HTML code lt embed src document name cg3 width 500 height 600 gt lt embed gt The sre parameter is the name of the file to be displayed including the relative path from the page while the width and the height are its dimensions in pixels Displaying a dynamic image in a web browser Instructions for PC The plug in that enables you to view a dynamic image is compatible with Internet Explorer as well as with Netscape based browsers Mozilla Firefox To view a dynamic image in a web browser Cabri 3D must be installed on the computer either the demo or the full version Instructions for Macintosh To view a dynamic image on Macintosh you must first install a plug in To install it from the Cabri3D CD ROM open the Cabri 3D Internet Plug in folder then double click the Install Cabri 3D Plug In icon and follow the instructions The plug in installer can also be downloaded from the www cabri com web site The dynamic image plug in for Macintosh is compatible with Safari as well as with Netscape based browsers Mozilla Firefox It does not work with Internet Explorer Exporting a
30. ps 1 Choose Window Animation to display the Animation box 2 Use the Manipulation tool to select the moving point in this case the point through which the line passes 3 In the Animation box make sure that the Point Frozen box is not checked 4 Use the Animation Speed slider to select a speed greater than 0 cm s 5 Click the Start Animation button The line will now move around the circumference of the circle 6 You can control the speed and direction of the animation using the Animation Speed slider Follow the same steps to begin animation of the sphere As you can see the volume of the sphere changes as the point moves on the segment You can control the speed of each animated point individually You can also interrupt the animation of each point by checking the Point Frozen box You must first choose the animated point in question using the Manipulation tool then use the Animation box to make the required changes The Stop Animation button will stop all animated points The Start Animation button will start all animated points except those whose Point Frozen box is checked AUTO ROTATE Cabri 3D lets you watch your construction rotate on its axis Make sure the Active View window is open Window Active View then use the Auto Rotate slider to start rotation and control its direction and speed You can also start automatic rotation using the View Angle function Hold down the right mouse button Ct r1 c
31. rcle constructed using the Conic tool Sphere Lets you construct a sphere from its center point and another point determining its radius Lets you construct a sphere whose radius is determined by the length of a vector or a segment To use this method you must construct a vector or a segment or use an existing vector or segment construct or select the center point of the sphere select the vector or the segment that will determine the radius Note the vector or segment may be situated anywhere 3 5 RELATIVE CONSTRUCTIONS Perpendicular perpendicular line or plane Lets you construct a line perpendicular to a plane or part of a plane or a polygon Lets you construct a plane perpendicular to a line or part of a line Lets you construct a line perpendicular to a line or part of a line To use this function you must first press and hold the Ctr1 key Option on Macintosh during the following steps select the reference line select or construct a point somewhere other than on the reference line Note to construct a point on the reference line you must click once in the VP after selecting the reference line Parallel parallel line or plane Lets you construct a line parallel to a line or part of a line Lets you construct a plane parallel to a plane or part of a plane and passing through a point To construct a parallel plane that will not be contiguous with the se
32. ributes will not affect already existing objects They will be applied to all new objects Viewing the hidden parts of objects When you change an object attributes you can choose to select the Render Object Hidden Parts check box If this option is NOT selected objects in the selected family will be hidden if any objects appear in front of them If this option IS selected objects will be visible through any objects in front of them Graphic attributes of the hidden parts of objects You can change the graphic attributes of the hidden parts of objects For example the portion of a line that is hidden by a sphere could be dotted appear in a different color etc To change the default attributes of hidden parts of objects on PC choose Edit Preferences Hidden Styles on Macintosh choose Cabri 3D Preferences Hidden Styles CREATING PRINTABLE PATTERNS NETS Creating and printing patterns Cabri 3D lets you create patterns polyhedral nets from the polyhedra you construct You can then print these patterns and use them to create real models out of paper or cardboard To use this function follow these steps 1 Construct a polyhedron 2 With the Open Polyhedron tool click on the polyhedron 3 With the Manipulation tool select the polyhedron 4 Choose Document Add Net Page You can now print the pattern Changing the graphic attributes of patterns To change the default graphic attributes of patter
33. ter being constructed To illustrate this we will construct two lines First open a new document Click and hold the Curves toolbox third button from the left and choose the Line tool from the dropdown menu Construct a first line by constructing two points on the VP of the base plane see illustration Next construct a second line but this time construct the second point in space on the NVP of the base plane see illustration Using the Manipulation tool select the point you constructed in space hold down the key and move the point upwards As you can see the point moves vertically as does the line Next try to do the same thing with any point constructed on the VP You will see that it is not possible to move them vertically CABRI 3D TOOLS This chapter describes each of the Cabri 3D tools Consult it whenever you want to know what a particular Cabri 3D tool does and how to use it Like Chapter 4 however this chapter can be read in order since each new example is generally based on the functions and operations presented earlier To speed up your learning of Cabri 3D we recommend working through this chapter in sequence trying out each Cabri 3D tool as it is presented Terms and abbreviations used in the tables Base plane the plane provided by default when you open the program or create a new document VP the visible part of a plane the colored portion of a plane the non v
34. uct three dimensional polyhedra it is essential to construct at least one point on a different plane than the other points This point may be constructed on an existing object or constructed by holding down the key ray segment vector edge of a polyhedron Tetrahedron defined by 4 points Construct the first 3 points To construct a three dimensional tetrahedron construct the 4 point on another plane either on an existing object using the key XYZ Box defined by a diagonal Construct the first point Construct a second point which will define the vertex diagonally opposite the first point To construct a three dimensional XYZ Box construct this second point on a different plane from the first on an existing object or using the key Prism defined by a polygon and a vector First construct a polygon using another tool Polygon Triangle etc or use an existing polygon Using the Vector tool construct a vector on another plane than that of the polygon or use an existing vector Use the Prism tool to construct the prism by selecting a polygon and a vector Pyramid defined by a polygon and a point First construct a polygon using another tool Polygon Triangle etc or use an existing polygon This will be the base With the Pyramid tool select a polygon then to create a three dimensional pyramid construct the vertex using the
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