CABRI® 3D - Chartwell
Contents
1. Parallel Line parallel to a line ray segment vector by a point Construct the line parallel to a direction and containing a point Plane parallel to a plane polygon by a point Construct the plane parallel to a plane polygon and containing a point Perpendicular bisector Construct the perpendicular bisector plane of a segment vector or two points This is the plane perpendicular to the direction defined by the inputs and containing the middle point of the segment vector two points Midpoint Construct the middle point of a segment vector or two points Vector sum Construct the sum of two vectors Select the two vectors to sum and the origin point of the result REGULAR POLYGON STAR All these tools construct a regular polygon or regular star polygon with the following options similar to the circle constructions Regular polygon star by center and point in a plane Select a plane then a point in this plane the center and another point in the plane defining one vertex of the polygon If this last point is constructed on the fly as a free point on the plane any vertex of the polygon star can be freely manipulated rotate scale up scale down the object Regular polygon star by axis and point Select a line ray segment vector defining the axis of the polygon then a point defining one vertex of the polygon POLYHEDRA Tetrahedron Construct a tetrahedron defined by four p2. INTRODUCTION Welcome to Cabri 3D s world of spatial and solid geometry Cabri technology was born in the research labs of France 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 15 million people are using Cabri Geometry Il and Cabri Geometry II Plus on computers and Texas Instruments graphing calculators I Cabri 3D brings the Cabri philosophy to the world of 3D Using Cabri 3D you will To learn to construct view and manipulate all sorts of objects in three dimensions lines planes cones spheres polyhedra You can build dynamic constructions from 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
3. Sphere from the dropdown menu The mouse pointer changes into a pencil Click once about 1 cm to the left of the base A center point then click again about 2 cm to the left of the first point You have constructed a sphere To modify the sphere choose the Manipulation tool the first button in the toolbar 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 10 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 shift key and move the mouse about 5 cm upwards then click You have constructed an XYZ Box To modify the XYZ Box choose the Manipulation tool and follow the same procedures you used with the sphere see the previous section This first document automatically named Document1 can be saved under the name of your choice by choosing File Save As After this choosing File Save will save all modifications applied to the construction under the same name 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 doc
4. This last object does not need to be on the plane Intersection circle implicit Construct the intersection between a plane and a sphere or two spheres Move the mouse pointer near the intersection of the two objects then left click to create the circle Conic Construct a conic ellipse parabola hyperbola with the following options Conic by five coplanar points Construct a conic containing five coplanar points Select the five points Conic by five coplanar lines Construct a conic tangent to five coplanar lines Select the five lines Intersection conic implicit Construct the intersection between a plane and a cone cylinder Move the mouse pointer near the intersection of the two objects then left click to create the conic 15 Intersection curve Construct the intersection curve between two objects plane plane plane sphere sphere sphere plane cone plane cylinder Implicit constructions see above for line circle conic are also enabled by this tool SURFACES Plane Construct a plane with the following options Plane by three points Construct the plane containing three points Select the three points Plane by two coplanar lines Construct the plane containing two intersecting lines Select the two lines Plane by a line ray segment vector and a point Construct a plane containing a line ray segment vector and a point outside of it Select the two element
5. are using the most recent version of Cabri 3D An 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 is 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 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 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 A toolbar at the top of the Cabri 3D document window provides a series of toolboxes Click and hold the Surfaces toolbox fourth button from the left and choose
6. at www cabri com The site also provides links to dozens of web pages and books about geometry and Cabri 2005 CABRILOG SAS Cabri 3D User Manual Authors Sophie and Pierre Ren de Cotret Latest update June 30 2005 New versions www cabri com Mistakes support cabri com Graphic design page layout second readings Cabrilog W INSTALLING AND ACTIVATING THE PROGRAM System requirements Supported operating systems PC Windows 98 Me NT 4 2000 XP Macintosh Mac OS X version 10 3 or higher Recommended configuration for PC 800 MHz or greater CPU NVIDIA GeForce 2 or ATI Radeon 7000 video card or newer GE 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 demonstration mode for 15 minutes with the Copy and Save commands disabled To activate the program permanently you must purchase a license from 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 GE Updates To check if you
7. 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 Chapter 4 COMPLEMENTARY FUNCTIONS 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 25 26 To change the color of an object click on the color box to the left to display the color palette Changes to the default attributes 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 N is NOT selected objects in the selected family will be idden 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 li
8. the face glued to the plane Hold Ctr1 key Alt key on MacOS down to select the other side of the plane Regular polyhedron glued on a polygon Construct a polyhedron glued on a face compatible with the faces of the selected tool i e triangles for tetrahedron octahedron icosahedron square for cube pentagon for dodecahedron Hold Ctr1 key Alt key on MacOS down to select the other side of the polygon TRANSFORMATIONS The construction tools now expect the elements defining the transformation and the object to transform at the end This paradigm differs from Cabri Geometry II and the previous versions of Cabri 3D However if an object is selected during the construction and cannot be accepted as transformation element then it is taken as the object to transform 13 Central symmetry Apply the central symmetry The element is a point the center of the symmetry Half turn Apply a half turn 180 degree rotation around an axis The element is a line ray segment vector defining the axis of the half turn E Reflection Apply a reflection orthogonal symmetry with respect to a plane The element is a plane polygon defining the plane of the symmetry Me Translation Apply a translation The element is a vector or a pair of points defining implicitly the vector 20 Rotation Apply a rotation The elements are a line ray segment vector defining the ax
9. CABRI 3D CABRILOG Innovative Math Tools cee USER MANUAL o D TABLE OF CONTENTS CHAPTER 1 INTRODUCTION INSTALLING AND ACTIVATING THE PROGRAM HOW TO USE THIS GUIDE BASIC PRINCIPLES CREATING YOUR FIRST CABRI 3D DOCUMENT YOUR FIRST 3D CONSTRUCTION ED CREATING A NEW DOCUMENT ED THE CONCEPT OF PLANES ED GLASS BALL CHANGING VIEW ANGLE CABRI 3D TOOLS MANIPULATION POINTS CURVES SURFACES RELATIVE CONSTRUCTIONS REGULAR POLYGON STAR POLYHEDRA REGULAR POLYHEDRA oo O 00 M 0 TRANSFORMATIONS KEYBOARD CONTROLLED FUNCTIONS AND SHORTCUTS A USEFUL TECHNIQUE FOR MANIPULATING OBJECTS PS P6 P7 P9 P9 P9 P10 P10 P11 P13 P13 P14 P19 P17 P18 P18 P19 P19 P19 CHAP TER 4 COMPLEMENTARY FUNCTIONS CREATING TEXT LABELS FOR OBJECTS R CREATING INDEPENDENT TEXT AREAS THE MASK SHOW COMMAND AUTO ROTATE MODIFYING OBJECTS GRAPHIC ATTRIBUTES CONTEXTUAL MENUS CHAPTER 5 ADVANCED FUNCTIONS THE CONCEPT OF WORK AREAS al ES CREATING NEW WORK AREAS CREATING NEW PAGES WITHIN A DOCUMENT E CREATING A NEW DOCUMENT WITH A CHOICE OF PERSPECTIVE CHANGING THE DEFAULT PERSPECTIVE AND PAPER FORMAT FOR NEW DOCUMENTS DISPLAY OPTIONS EXPORTING CABRI 3D IMAGES FOR USE IN OTHER PROGRAMS P23 P23 P24 P24 P25 P25 P26 P28 P28 P28 P29 P 30 P 30 P 30 P31
10. e your group of constructions from various perspectives CREATING NEW WORK AREAS EB 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 New 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 28 eg 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 CREATING NEW PAGES WITHIN A DOCUMENT Every Cabri 3D document can contain multiple pages As well as we saw in the
11. es in other programs such as Microsoft Word or Internet Explorer In a Microsoft Office document choose Insert Object Cabri 3D Then using the contextual menu choose Object Cabri3ActiveDoc Import and select the file to display Cabri 3D also provides a plug in for Netscape compatible browsers Mozilla FireFox etc that enables you to view Cabri 3D dynamic images Note that Cabri 3D either the demo or the full version must be installed on the computer being used to view the document In a web page insert the following HTML code lt embed src document name cg3 width 500 height 600 gt lt embed gt where the src parameter is the name of the file to be displayed including the relative path to the page and width and height are its dimensions in pixels Exporting a dynamic image to a Macintosh Cabri 3D provides a plug in for Netscape compatible browsers Mozilla FireFox etc that enables you to view Cabri 3D dynamic images Insertion of a dynamic construction on the Macintosh A plug in for Netscape class browsers Mozilla FireFox etc allows the visualization of dynamic figures i e that can be manipulated The installer for this plug in is available for download on www cabri com For boxed versions the plug in is on the CD ROM in the Cabri3D Internet plug in directory Double click on the Install Cabri 3D plug in and follow the instructions In a web page insert the following HTML code
12. he 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 En 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 3 or the Ctrl key then click and 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 capabilities If you are building a complex construction changing the angle may make it easier to add new objects 11 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 based on the functions and operations presented earlier To 1 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 NVP the non visible part of a p
13. is of the rotation and two points outside of the axis defining the angle The rotation maps the half plane by the axis and the first point to the half plane by the axis and the second point alo In this example we construct the 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 KEYBOARD CONTROLLED SHORTCUTS AND FUNCTIONS Function PC Macintosh Selecting more than one object using the Manipulaion tool Hold down the Ctr1 key and select all required objects Hold down the Shift key and select all required objects Delete selected objects Press Delete Press Delete Stop construction of an unfinished Press esc Press esc object e g stop constructing a triangle after creating 2 of its 3 points Cancel the selected tool and choose Press esc Press esc the Manipulation tool Deselect a selected object Press Ctrl clic Press Shift clic Construct a point or an object above or below the base plane Hold down the Shift key move the point vertically then click Hold down the Shift key move the point vertically then click Move vertically an existing point or object constructed above or below the base plane Hold down the shift key then move the object ve
14. ive move the mouse pointer in an empty area of the view The tool tip becomes a new point in space and a local gray grid appears giving an idea of the horizontal XY and vertical Z position of the point Hold down a the Shift key to move the point vertically Z instead of horizontally XY This point can be moved anywhere in space After the shift key is held down one can construct only a free point in space even if the mouse pointer is subsequently moved over an object The Esc key will revert to the usual selection state To move a free point in space vertically it is necessary to hold down the Shift key Intersection point implicit Move the mouse pointer near an intersection point between two objects A left button click will create all intersection points between the two objects as would have done the intersection point tool Intersection point Construct the intersection point s between two objects Select the two objects to intersect curve curve or curve surface Some combinations are not implemented yet for example conic conic Implicit constructions see above are also enabled by this tool E CURVES A Line Construct a line with the following options Line by two points Create the line containing two points Select the two points Line intersection between two planes implicit Move the mouse pointer near the intersection between two planes A left button click will create the intersec
15. lane the invisible extension of the visible part of a plane Tool help Cabri 3D provides interactive help for every tool To activate it choose Window Tool Help MANIPULATION N Lets you select objects Lets you move points or objects and as a consequence all objects depending on them POINTS e Point on a plane or on any other object or in space Point on the VP of a plane The Point tool being active move the mouse pointer over an empty zone of the VP of a plane Animated dots now cover the VP of this plane Once the tool tip says a new point on plane a left button click will create a new point This point can be moved anywhere in the plane especially in its NVP However it is not possible to move it outside of the plane 13 Point on an object The Point tool being active move the mouse pointer over an existing object line ray segment vector circle conic triangle sector half plane plane cylinder cone sphere In the case of a line or curve it will start to blink In the case of a surface animated dots will appear on it In both cases the tool tip says a new point on recalling the type of the object A left button click will create a new point on the object This point can be moved anywhere on the object and is constrained to remain on this object Free point in space Any point not created in a plane or on an object is a free point in space The Point tool being act
16. lt embed src document name cg3 width 500 height 600 gt lt embed gt where the src parameter is the name of the file to be displayed including the relative path to the page and width and height are its dimensions in pixels
17. 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 Use the contextual menu to change the label font or other attribute see Chapter 4 COMPLEMENTARY FUNCTIONS line d 23 24 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 Use the contextual menu to change the text font or other attributes chapter 4 COMPLEMENTARY FUNCTIONS Figure 24 Cone date of realisation etc 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 Shift 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 Wi
18. ndow Active View then click 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 Ctrl key Shift 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 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 rotation using the glass ball function Hold down the right mouse button Ct r1 left button on Macintosh to activate the view angle control see Chapter 2 BASIC PRINCIPLES Next change the view angle with a quick movement of the mouse left or right 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
19. ne that is hidden by a sphere could be dotted appear in a different color etc To pa the default attributes of hidden parts of objects on PC c oose Edit Preferences Hidden Styles on Macintosh choose Cabri 3D Preferences Hidden Styles CONTEXTUAL MENUS Cabri 3D provides various contextual menus To access them move the mouse pointer into n of the following environments then click briefly with t e right mouse button On a Macintosh with a single button mouse first hold down either the 8 or Ctr1 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 Background color Auto rotate Some Edit menu commands Page Document menu commands Add Page etc 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 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 se
20. oints The points are the vertices of the tetrahedron 18 XYZ Box Construct a parallelepiped with edges parallel to the X Y Z axes and defined by two points The two points define one of the three diagonals of the box Prism Construct a prism defined by a convex polygon and a vector The result is the convex polyhedron defined by the polygon and its image by the translation defined by the vector Pyramid Construct a pyramid defined by a convex polygon and a point The result is the convex polyhedron defined by the polygon and the point Polyhedron Construct a convex polyhedron defined by points segments or polygons The result is the smallest by inclusion convex polyhedron containing all the selected objects Cut polyhedron Cut a polyhedron by a plane Select a polyhedron and cut a plane The tool constructs a new polyhedron restriction of the input polyhedron by the plane The initial polyhedron is automatically hidden by the tool Maintain the Ctr1 key down to select the other side of the plane on MacOS maintain Alt key down REGULAR POLYHEDRA SR gt W gt Reguliar polyhedron All these tools construct a regular Platonic convex polyhedron with the following options Regular polyhedron with a face on a plane The interface is similar to the construction of a regular polygon on a plane Instead of constructing a polygon we construct a polyhedron with
21. previous section every page can contain several work areas New page with pre selected perspectives To add a page to your document choose Document New 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 nts and SettingswauchelBureauwnani gt Cabri 3D C Wocume YA Fichier Edition Affichage Document ms reau manuel4Opages 8 2 avancees 3 ew a ee 4 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 New Page then select a blank page e g Empty US Letter Portrait Click in the new page to select it then choose Document New 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 na
22. rtically Hold down the Shift 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 Ctrl Shift keys then move the object vertically Hold down the Option Shift 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 You can move existing points or objects without switching to the Manipulation tool For example even with the Tetrahedron or some other tool selected you can move a sphere or a the orientation of a line etc Simply select a point or an o the selected object ject hold down the mouse button and move 21 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
23. s Implicit plane constructions Move the mouse pointer over a triangle or polygon A left click will construct the plane containing the object supporting plane Half plane Construct a half plane limited by a line ray segment vector and containing a point outside of it Select the two elements The result is the portion of the plane limited by the line ray segment vector and containing the point AN a Sector Construct a sector the portion of a plane limited by two rays sharing the same origin The sector is constructed by three points The first point is the origin and the other points define the two rays Triangle Construct a triangle by three points Select the three points gt 16 Polygon Construct a polygon defined by three or more coplanar points Select the points To end the selection either select a point already selected as vertex or press the Enter key If three points are selected the Polygon tool is equivalent to the Triangle tool Cabri 3D detects the cases where the result is a regular polygon and allows further constructions accepting regular polygons Cylinder Construct a cylinder with the following options Cylinder by axis and point Construct a cylinder defined by its axis and a point Select a line ray segment vector and a point outside of it In the case of a segment vector the cylinder is limited to the portion projecting orthogonall
24. tion line 14 ta Y Construct a ray by two points The first point is the origin of the ray Segment Construct a segment by two points Vector Construct a vector by two points The first point is the origin of the vector Circle Construct a circle with the following options Circle by two points in a plane Construct a circle in a plane defined by its center and a point of the circle Select first the supporting plane then the center point in the plane and the circle point in the plane If created on the fly in the plane the points can then be moved on the NVP of the plane using the Manipulation tool Circle by three points Construct a circle containing three points The circle is in the plane defined by the three points and contains the points The first point cannot be created on the fly in a plane because the previous construction will accept the plane as input Circle by its axis and a point Construct a circle having a given line segment ray vector as axis and containing a point not on the axis The circle is in the plane perpendicular to the axis and containing the point Its center is the intersection of the axis and the plane Circle by center and radius Construct a circle in a plane with its radius defined by the length of a segment or a vector Select the supporting plane and a point in this plane to define the center Then select a segment or vector to define the radius
25. tural 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 Pages Layout commands let you change the arrangement of pages These commands are only available if a document has two or more pages 30 31 5 7 EXPORTING CABRI 3D IMAGES FOR USE IN OTHER PROGRAMS Exporting an 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 etc Exporting a dynamic image to a PC For Windows Cabri 3D provides an ActiveX control that enables you to include Cabri 3D documents as dynamic editable imag
26. ument 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 an XYZ Box on the VP Next construct two new boxes outside the VP in the upper part of the work area 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 plane either on the VP or on an invisible extension of this VP which is known as the Non Visible Part NVP GLASS BALL CHANGING VIEW ANGLE ES You can view your construction from various angles as if you were moving a camera around your construction To change the view angle of the scene encompassed in a glass ball put the mouse pointer anywhere in t
27. y on the segment vector otherwise the cylinder is infinite Cylinder product of a circle ellipse and a line ray segment vector Construct a cylinder product of a circle ellipse and a line ray segment vector The result is a cylinder containing the circle ellipse and whose generators are parallel to the other object If this object is a vector the cylinder is limited by the circle ellipse and its image by the translation defined by the vector Cone Construct a cone by a circle ellipse and a point Select the two objects Sphere Construct a sphere with the following options Sphere by center and point Construct a sphere from its center and a point Select the two points Sphere by center and radius Construct a sphere from its center and the length of a segment L vector Select the two objects RELATIVE CONSTRUCTIONS Perpendicular Line perpendicular to a plane polygon by a point Construct the line perpendicular to the input plane or polygon and containing a point Plane perpendicular to a line ray segment vector by a point Construct the plane perpendicular to a direction and containing a point Line perpendicular to a line ray segment vector by a point Ctrl key down on Windows Alt key down on MacOS construct the line perpendicular to a direction and containing a point outside of it The resulting line is in the plane determined by the two input objects 17
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