Difference between revisions of "Algebra View"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
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<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
{{gui|view}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{gui|view}}
Using the [[Input Bar]] you can directly enter algebraic expressions in GeoGebra. After hitting the Enter-key your algebraic input appears in the [[Algebra View]] while its graphical representation is automatically displayed in the [[Graphics View]].
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=[[File:Menu_view_algebra.svg|link=|24px]] Algebra View User Interface=
{{Example|1=The input ''<nowiki>f(x) = x^2</nowiki>'' gives you the function f in the Algebra View and its function graph in the Graphics View.}}
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By default, the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' is opened next to the [[File:Menu_view_graphics.svg|link=|16px]] ''[[Graphics View]]''. In addition, either the ''[[Input Bar]]'' is displayed at the bottom of the GeoGebra window (GeoGebra Desktop), or an ''[[Input Field]]'' is integrated directly in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' (GeoGebra Web and Tablet Apps). The [[Graphics Tools|''Graphics View Toolbar'']] is displayed at the top of the GeoGebra window, with the [[File:Menu-edit-undo.svg|link=|16px]][[File:Menu-edit-redo.svg|link=|16px]] ''Undo / Redo'' buttons in the top right corner.
In the Algebra View, mathematical objects are organized as free and dependent objects. If you create a new object without using any other existing objects, it is classified as a free object. If your newly created object was created by using other existing objects, it is classified as a dependent object.
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{| cellpadding ="10"
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|[[File:Algebra-View.png|left|link=|350px]]
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<br>GeoGebra Web and Tablet Apps
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|-
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|[[File:Algebra-View-Desktop.png|left|link=|350px]]
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<br>GeoGebra Desktop
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|}
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The [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' is part of the [[File:Menu_view_algebra.svg|link=|16px]] [[Perspectives#Algebra Perspective|''Algebra Perspective'']], although you may [[GeoGebra_5.0_Desktop_vs._Web_and_Tablet_App#Customizing_the_Layout_of_the_User_Interface|change the layout]] of GeoGebra's user interface according to your needs.
  
{{hint|If you want to hide the algebraic representation of an object in the Algebra View, you may specify the object as an auxiliary object: Right click (Mac OS: Ctrl-click) on the corresponding object in the Algebra View and select Properties from the appearing [[Context Menu]]. On tab Basic of the [[Properties Dialog]] you may specify the object as an [[Free, Dependent and Auxiliary Objects#Auxiliary Objects|Auxiliary Object]]. By default, auxiliary objects are not shown in the Algebra View, but you can change this setting by selecting by selecting "Auxiliary Objects" from the context menu (right-click) or by clicking on the appropriate icon in the [[Algebra View#Style Bar|Style Bar]]}}
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=Creating Mathematical Objects=
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==Direct Input==
Note that you are able to modify objects in the Algebra View as well: Make sure that you activate the [[Image:Tool Move.gif]] [[Move Tool]] before you double click on a [[Free, Dependent and Auxiliary Objects#Free Objects|free object]] in the Algebra View. In the appearing text box you can directly edit the algebraic representation of the object. After hitting the Enter-key, the graphical representation of the object will automatically adapt to your changes.
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In the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' you can directly enter algebraic expressions using the integrated [[Input Field|''Input Field'']] (GeoGebra Web and Tablet Apps) or the ''[[Input Bar]]'' at the bottom of the GeoGebra window (GeoGebra Desktop). After hitting the {{KeyCode|Enter}} key your algebraic input appears in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' while its graphical representation is automatically displayed in the [[File:Menu_view_graphics.svg|link=|Graphics View|16px]] ''[[Graphics View]]''.  
  
If you double click on a [[Free, Dependent and Auxiliary Objects#Dependent Objects|dependent object]] in the Algebra View, a dialog window appears allowing you to [[Redefine Dialog|Redefine]] the object.
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{{Example|1=The input <code>y = 2 x + 3</code> gives you the linear equation in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' and the corresponding line in the [[File:Menu_view_graphics.svg|link=|Graphics View|16px]] ''Graphics View''.}}
  
GeoGebra also offers a wide range of [[commands]] that can be entered into the [[Input Bar]]. You can open the list of commands in the right corner of the Input Bar by clicking on the button Command. After selecting a command from this list (or typing its name directly into the Input Bar) you can press the F1-key to get information about the syntax and arguments required to apply the corresponding command.
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==Commands==
==Style Bar==
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GeoGebra also offers a wide range of ''[[Commands]]'' that can be used to create objects in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''. Just start typing the name of a ''Command'' into the ''Input Bar'' or ''Input Field'' and GeoGebra will offer you a list of ''Commands'' that match your input.  
This [[Views#Style Bar|Style Bar]] contains two buttons.
 
  
;[[Image:Auxiliary.png]] Auxiliary objects:toggling this button shows or hides [[Free, Dependent and Auxiliary Objects|Auxiliary Objects]].
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==Tools==
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Although the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' doesn’t have it’s own ''Toolbar'', you can create [[Free, Dependent and Auxiliary Objects#Dependent Objects|''Dependent Objects'']]. Select a tool from the ''Graphics View Toolbar'' and click on any appropriate object in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' in order to create a new ''Dependent Object''.  
  
;[[Image:Tree.png]] Sort Objects by Type: when turned on, objects are sorted by type (e.g. [[Points and Vectors|Points]], [[Lines and Axes|Lines]], ...), otherwise they are divided among [[Free, Dependent and Auxiliary Objects]].
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{{Example|1=Create two points ''A'' and ''B'', whose coordinates are displayed in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''. Select the [[File:Mode_join.svg|link=|16px]] ''[[Line Tool]]'' from the ''Graphics View Toolbar'' and click on both points in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' in order to create a line through points ''A'' and ''B''.}}
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==Modifying Mathematical Objects==
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You can modify the algebraic representation of mathematical objects directly in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''.
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Activate the [[File:Mode_move.svg|link=|16px]] [[Move Tool|''Move'']] tool and double-click a [[Free,_Dependent_and_Auxiliary_Objects#Free_Objects|''Free Object'']] in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''. In the appearing text box you can directly modify its algebraic representation. After hitting the {{KeyCode|Enter}} key, both the algebraic representation in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'' and the graphical representation of the object in the [[File:Menu_view_graphics.svg|link=|Graphics View|16px]] ''[[Graphics View]]'' will automatically adapt to your changes.
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If you double-click on a [[Free,_Dependent_and_Auxiliary_Objects#Dependent_Objects|''Dependent Object'']] in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'', a dialog window appears allowing you to [[Redefine Dialog|Redefine]] the object.
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=Display of Mathematical Objects=
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By default, mathematical objects are organized by ''Object Types'' in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''. In GeoGebra Desktop, you may use the [[Algebra View#Algebra View Style Bar|''Style Bar'' option]] [[File:Stylingbar_algebraview_sort_objects_by.svg|link=|16px]]  ''Sort by'' in order to re-sort the objects by ''Dependency'', ''Layer'' or ''Construction Order''.
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{{hint|1=You can collapse or expand each group of objects individually (e.g. all points, all free objects, all objects on a specific layer) by clicking on the plus or minus symbol in front of the group’s name.}}
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==[[Style_Bar#Algebra_View_Style_Bar|Algebra View Style Bar]]==
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The [[Style_Bar#Algebra_View_Style_Bar|''Algebra View Style Bar'']] provides buttons to
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*show / hide [[File:Stylingbar_algebraview_auxiliary_objects.svg|link=|16px]] [[Free,_Dependent_and_Auxiliary_Objects|''Auxiliary Objects'']]
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*[[File:Stylingbar_algebraview_sort_objects_by.svg|link=|16px]] sort the list of objects by different criteria
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*display additional [[File:Stylingbar_dots.svg|link=|16px]] [[Views|''Views'']] in the GeoGebra window (GeoGebra Web and Tablet Apps)
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==Hiding Mathematical Objects in the Algebra View==
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If you want to hide the algebraic representation of an object in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View'', you may specify the object as an [[Free, Dependent and Auxiliary Objects#Auxiliary Objects|''Auxiliary Object'']]. Open the tab ''Basic'' of the [[File:Menu-options.svg|link=|16px]] [[Properties Dialog]] and check ''Auxiliary Object''.
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By default, ''Auxiliary Objects'' are not shown in the [[File:Menu_view_algebra.svg|link=|16px]] ''Algebra View''. You can change this setting by selecting ''Auxiliary Objects'' from the ''[[Context Menu]]'' (right-click or Mac OS {{KeyCode|Ctrl}}-click), or by selecting on the appropriate icon in the [[Algebra View#Algebra View Style Bar|''Algebra View Style Bar'']].

Latest revision as of 17:07, 6 November 2015

Menu view algebra.svg Algebra View User Interface

By default, the Menu view algebra.svg Algebra View is opened next to the Menu view graphics.svg Graphics View. In addition, either the Input Bar is displayed at the bottom of the GeoGebra window (GeoGebra Desktop), or an Input Field is integrated directly in the Menu view algebra.svg Algebra View (GeoGebra Web and Tablet Apps). The Graphics View Toolbar is displayed at the top of the GeoGebra window, with the Menu-edit-undo.svgMenu-edit-redo.svg Undo / Redo buttons in the top right corner.

Algebra-View.png


GeoGebra Web and Tablet Apps

Algebra-View-Desktop.png


GeoGebra Desktop

The Menu view algebra.svg Algebra View is part of the Menu view algebra.svg Algebra Perspective, although you may change the layout of GeoGebra's user interface according to your needs.

Creating Mathematical Objects

Direct Input

In the Menu view algebra.svg Algebra View you can directly enter algebraic expressions using the integrated Input Field (GeoGebra Web and Tablet Apps) or the Input Bar at the bottom of the GeoGebra window (GeoGebra Desktop). After hitting the Enter key your algebraic input appears in the Menu view algebra.svg Algebra View while its graphical representation is automatically displayed in the Graphics View Graphics View.

Example: The input y = 2 x + 3 gives you the linear equation in the Menu view algebra.svg Algebra View and the corresponding line in the Graphics View Graphics View.


Commands

GeoGebra also offers a wide range of Commands that can be used to create objects in the Menu view algebra.svg Algebra View. Just start typing the name of a Command into the Input Bar or Input Field and GeoGebra will offer you a list of Commands that match your input.

Tools

Although the Menu view algebra.svg Algebra View doesn’t have it’s own Toolbar, you can create Dependent Objects. Select a tool from the Graphics View Toolbar and click on any appropriate object in the Menu view algebra.svg Algebra View in order to create a new Dependent Object.

Example: Create two points A and B, whose coordinates are displayed in the Menu view algebra.svg Algebra View. Select the Mode join.svg Line Tool from the Graphics View Toolbar and click on both points in the Menu view algebra.svg Algebra View in order to create a line through points A and B.


Modifying Mathematical Objects

You can modify the algebraic representation of mathematical objects directly in the Menu view algebra.svg Algebra View.

Activate the Mode move.svg Move tool and double-click a Free Object in the Menu view algebra.svg Algebra View. In the appearing text box you can directly modify its algebraic representation. After hitting the Enter key, both the algebraic representation in the Menu view algebra.svg Algebra View and the graphical representation of the object in the Graphics View Graphics View will automatically adapt to your changes.

If you double-click on a Dependent Object in the Menu view algebra.svg Algebra View, a dialog window appears allowing you to Redefine the object.

Display of Mathematical Objects

By default, mathematical objects are organized by Object Types in the Menu view algebra.svg Algebra View. In GeoGebra Desktop, you may use the Style Bar option Stylingbar algebraview sort objects by.svg Sort by in order to re-sort the objects by Dependency, Layer or Construction Order.

Note Hint: You can collapse or expand each group of objects individually (e.g. all points, all free objects, all objects on a specific layer) by clicking on the plus or minus symbol in front of the group’s name.


Algebra View Style Bar

The Algebra View Style Bar provides buttons to

  • show / hide Stylingbar algebraview auxiliary objects.svg Auxiliary Objects
  • Stylingbar algebraview sort objects by.svg sort the list of objects by different criteria
  • display additional Stylingbar dots.svg Views in the GeoGebra window (GeoGebra Web and Tablet Apps)

Hiding Mathematical Objects in the Algebra View

If you want to hide the algebraic representation of an object in the Menu view algebra.svg Algebra View, you may specify the object as an Auxiliary Object. Open the tab Basic of the Menu-options.svg Properties Dialog and check Auxiliary Object.

By default, Auxiliary Objects are not shown in the Menu view algebra.svg Algebra View. You can change this setting by selecting Auxiliary Objects from the Context Menu (right-click or Mac OS Ctrl-click), or by selecting on the appropriate icon in the Algebra View Style Bar.

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