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= Grafický náhled 3D
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:page-en: 3D_Graphics_View
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ifdef::env-github[:imagesdir: /cs/modules/ROOT/assets/images]
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== [#3D_Graphics_View_User_Interface]#image:24px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=24,height=24] 3D Graphics View User Interface#
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By default, the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_ is opened next to the image:16px-Menu_view_algebra.svg.png[Algebra
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View,title="Algebra View",width=16,height=16] _xref:/Algebra_View.adoc[Algebra View]_. In addition, either the
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_xref:/Input_Bar.adoc[Input Bar]_ is displayed at the bottom of the GeoGebra window (GeoGebra Desktop), or an
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_xref:/Input_Bar.adoc[Input Field]_ is integrated directly in the image:16px-Menu_view_algebra.svg.png[Algebra
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View,title="Algebra View",width=16,height=16] _xref:/Algebra_View.adoc[Algebra View]_ (GeoGebra Web and Tablet Apps).
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The xref:/tools/3D_Graphics_Tools.adoc[_3D Graphics View Toolbar_] is displayed at the top of the GeoGebra window, with
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the
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image:16px-Menu-edit-undo.svg.png[Menu-edit-undo.svg,width=16,height=16]image:16px-Menu-edit-redo.svg.png[Menu-edit-redo.svg,width=16,height=16]
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_Undo / Redo_ buttons in the top right corner.
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[width="100%",cols="100%",]
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|===
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a|
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image:314px-3D-Graphics-View.png[3D-Graphics-View.png,width=314,height=220]
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3D Graphics View
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|===
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The image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D
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Graphics View_ is part of the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] xref:/Perspectives.adoc[_3D Graphics Perspective_], although you may add a
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image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics
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View_ window to any xref:/Perspectives.adoc[_Perspective_] at any time by using the
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image:16px-Menu-view.svg.png[Menu-view.svg,width=16,height=16] _xref:/View_Menu.adoc[View Menu]_ or the
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image:16px-Stylingbar_dots.svg.png[Stylingbar dots.svg,width=16,height=16] _Views button_ in the
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xref:/Style_Bar.adoc[_Style Bar_].
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=== Customizing the 3D Graphics View
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You can customize the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_ according to the mathematical topic you want to work with. The
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basic setup can be changed using the xref:/Style_Bar.adoc[_3D Graphics View Style Bar_] (e.g. display of coordinate
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axes, _xOy_-plane, grid). In addition, the _xref:/Settings_Dialog.adoc[Preferences Dialog]_ provides more options to
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customize the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16]
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_3D Graphics View_. You may also xref:/GeoGebra_5_0_Desktop_vs_Web_and_Tablet_App.adoc[change the layout] of GeoGebra’s
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user interface according to your needs.
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== [#Creating_Mathematical_Objects]#Creating Mathematical Objects#
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=== Constructions with the Mouse
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Using the xref:/tools/3D_Graphics_Tools.adoc[construction _Tools_] available in the xref:/3D_Graphics_View.adoc[_3D
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Graphics View Toolbar_] you can create geometric constructions in the
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image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics
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View_ with the mouse. Select any construction tool from the _3D Graphics View Toolbar_ and read the tooltip provided in
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the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D
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Graphics View_ in order to find out how to use the selected xref:/tools/3D_Graphics_Tools.adoc[_Tool_].
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[NOTE]
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====
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Any object you create in the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_ also has an algebraic representation in the
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image:16px-Menu_view_algebra.svg.png[Algebra View,title="Algebra View",width=16,height=16]
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_xref:/Algebra_View.adoc[Algebra View]_.
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====
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[EXAMPLE]
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====
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Select the image:16px-Mode_sphere2.svg.png[Mode sphere2.svg,width=16,height=16]
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_xref:/tools/Sphere_with_Center_through_Point.adoc[Sphere with Center through Point Tool]_ and click in the _3D Graphics
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View_ twice. The first click creates the center point while the second click creates a sphere and a point on the sphere.
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====
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[NOTE]
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====
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*image:18px-Bulbgraph.png[Note,title="Note",width=18,height=22] Hint:* In order to create a new point in the
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3-dimensional space, you need to...
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* click and hold the mouse key (tap and hold) in order to define it's _x_- and _y_-coordinate, then
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* drag the point up or down in order to change the _z_-coordinate and
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* release the click (tap) once you reached the desired coordinates.
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====
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=== 3D Graphics View Toolbar
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The xref:/tools/3D_Graphics_Tools.adoc[_3D Graphics View Toolbar_] provides a wide range of _xref:/Tools.adoc[Tools]_
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that can be operated with the mouse and allow you to create the three-dimensional graphical representations of objects
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directly in the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_. Every icon in the _xref:/Toolbar.adoc[Toolbar]_ represents a
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xref:/Tools.adoc[_Toolbox_] that contains a selection of related xref:/Tools.adoc[construction _Tools_]. In order to
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open a _Toolbox_, you need to click on the corresponding default _Tool_ shown in the _3D Graphics View Toolbar_
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(GeoGebra Web and Tablet Apps) or on the small arrow in the lower right corner of the _Toolbar_ icon (GeoGebra Desktop).
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image:398px-Toolbar-3D-Graphics.png[3D Graphics Tools,title="3D Graphics Tools",width=398,height=32]
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[NOTE]
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====
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The _Tools_ of the _3D Graphics View Toolbar_ are organized by the nature of resulting objects or the functionality of
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the _Tools_. You will find _Tools_ that create different types of planes in the
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image:16px-Mode_planethreepoint.svg.png[Mode planethreepoint.svg,width=16,height=16]
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_xref:/tools/3D_Graphics_Tools.adoc[Planes Toolbox]_ or _Tools_ that allow you to create geometric solids in the
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image:16px-Mode_pyramid.svg.png[Mode pyramid.svg,width=16,height=16] xref:/tools/3D_Graphics_Tools.adoc[Geometric Solids
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Toolbox].
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====
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=== Direct Input using the Input Bar
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GeoGebra’s image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16]
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_3D Graphics View_ supports points, vectors, lines, segments, rays, polygons, and circles in a three-dimensional
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coordinate system. You may either use the _xref:/Tools.adoc[Tools]_ provided in the xref:/3D_Graphics_View.adoc[_3D
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Graphics View Toolbar_], or directly enter the algebraic representation of these objects in the
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_xref:/Input_Bar.adoc[Input Bar]_ or xref:/Input_Bar.adoc[_Input Field_] of the
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image:16px-Menu_view_algebra.svg.png[Algebra View,title="Algebra View",width=16,height=16]
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_xref:/Algebra_View.adoc[Algebra View]_ (GeoGebra Web and Tablet Apps).
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[EXAMPLE]
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====
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Enter `++A=(5, -2, 1)++` into the _Input Bar_ or _Input Field_ of the image:16px-Menu_view_algebra.svg.png[Algebra
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View,title="Algebra View",width=16,height=16] _Algebra View_ in order to create a point in the three-dimensional
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coordinate system.
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====
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Furthermore, you may now create surfaces, planes, as well as geometric solids (pyramids, prisms, spheres, cylinders, and
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cones).
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[EXAMPLE]
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====
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Enter `++f(x, y)=sin(x*y)++` in order to create the corresponding surface.
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====
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=== Commands
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In addition to the wide range of /Category:Commands.adoc[_Commands_] available for the other _xref:/Views.adoc[Views]_
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of GeoGebra, there also is a selection of _3D Commands_ specifically for the _3D Graphics View_.
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[EXAMPLE]
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====
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Let `++A=(2, 2, 0)++`, `++B=(-2, 2, 0)++`, `++C=(0, -2, 0)++`, and `++D=(0, 0, 3)++`. Input the command
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`++Pyramid[A, B, C, D]++` and hit the [.kcode]#Enter# key in order to create the pyramid with base _ABC_ and apex _D_.
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====
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== [#Moving_Mathematical_Objects_in_3D]#Moving Mathematical Objects in 3D#
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=== Move Tool
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Using the image:16px-Mode_move.svg.png[Move Tool,title="Move Tool",width=16,height=16] _xref:/tools/Move.adoc[Move
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Tool]_ you may drag and drop xref:/Free_Dependent_and_Auxiliary_Objects.adoc[_Free Points_] in the
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image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics
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View_. In order to move a point in the three-dimensional coordinate system, you can switch between two modes by clicking
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on the point:
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* *Mode _xOy_-plane*: You may move the point parallel to the _xOy_-plane without changing the _z_-coordinate.
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* *Mode _z_-axis*: You may move the point parallel to the _z_-axis without changing the _x_- and _y_-coordinates.
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=== Moving Objects using Keyboard Shortcuts
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In the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D
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Graphics View_, you may use the [.kcode]#Page Up# key in order to move a selected object up and the [.kcode]#Page Down#
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key in order to move a selected object down.
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== [#Display_of_Mathematical_Objects]#Display of Mathematical Objects#
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=== Translation of the Coordinate System
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You may translate the coordinate system by using the image:16px-Mode_translateview.svg.png[Mode
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translateview.svg,width=16,height=16] _xref:/tools/Move_Graphics_View.adoc[Move Graphics View Tool]_ and dragging the
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background of the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_ with your pointing device. Thereby, you can switch between two
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modes by clicking on the background of the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_:
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* *Mode _xOy_-plane*: You may translate the scene parallel to the _xOy_-plane.
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* *Mode _z_-axis*: You may translate the scene parallel to the _z_-axis.
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Alternatively you can hold the [.kcode]#Shift# key and drag the background of the
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image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics
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View_ in order to translate the coordinate system. Again, you need to click in order to switch between the two modes
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while holding the [.kcode]#Shift# key.
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[NOTE]
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====
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You can go back to the default view by selecting the button
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image:16px-Stylingbar_graphicsview_standardview.svg.png[Stylingbar graphicsview standardview.svg,width=16,height=16]
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_Back to Default View_ in the xref:/Style_Bar.adoc[_3D Graphics View Style Bar_].
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====
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=== Rotation of the Coordinate System
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You may rotate the coordinate system by using the image:16px-Mode_rotateview.svg.png[Rotate 3D Graphics View
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Tool,title="Rotate 3D Graphics View Tool",width=16,height=16] _xref:/tools/Rotate_3D_Graphics_View.adoc[Rotate 3D
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Graphics View Tool]_ and dragging the background of the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives
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algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics View_ with your pointing device.
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Alternatively you can right-drag the background of the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives
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algebra 3Dgraphics.svg,width=16,height=16] _3D Graphics View_ in order to rotate the coordinate system.
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If you want to continue the rotation of the coordinate system when the mouse is released, you may use the option
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image:16px-Stylingbar_graphics3D_rotateview_play.svg.png[Stylingbar graphics3D rotateview play.svg,width=16,height=16]
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_Start Rotating the View_ and image:16px-Stylingbar_graphics3D_rotateview_pause.svg.png[Stylingbar graphics3D rotateview
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pause.svg,width=16,height=16] _Stop Rotating the View_ in the xref:/Style_Bar.adoc[_3D Graphics View Style Bar_].
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[NOTE]
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====
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You can go back to the default rotation by selecting the button
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image:16px-Stylingbar_graphics3D_standardview_rotate.svg.png[Stylingbar graphics3D standardview
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rotate.svg,width=16,height=16] _Rotate back to default view_ in the xref:/Style_Bar.adoc[_3D Graphics View Style Bar_].
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====
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=== Viewpoint in front of an Object
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You may use the image:16px-Mode_viewinfrontof.svg.png[Mode viewinfrontof.svg,width=16,height=16]
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_xref:/tools/View_in_front_of.adoc[View in front of Tool]_ in order to view the coordinate system from a viewpoint in
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front of the selected object.
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=== Zoom
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You may use the image:16px-Mode_zoomin.svg.png[Mode zoomin.svg,width=16,height=16] _xref:/tools/Zoom_In.adoc[Zoom In
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Tool]_ and image:16px-Mode_zoomout.svg.png[Mode zoomout.svg,width=16,height=16] _xref:/tools/Zoom_Out.adoc[Zoom Out
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Tool]_ in order to zoom in the image:16px-Perspectives_algebra_3Dgraphics.svg.png[Perspectives algebra
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3Dgraphics.svg,width=16,height=16] _3D Graphics View_.
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[NOTE]
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====
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*image:18px-Bulbgraph.png[Note,title="Note",width=18,height=22] Hint:* You may also use the wheel of your mouse to zoom.
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====
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=== 3D Graphics View Style Bar
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The xref:/Style_Bar.adoc[_3D Graphics View Style Bar_] contains buttons to
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* image:16px-Stylingbar_graphics3D_axes_plane.svg.png[Stylingbar graphics3D axes plane.svg,width=16,height=16] show /
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hide the coordinate axes, image:16px-Stylingbar_graphics3D_plane.svg.png[Stylingbar graphics3D
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plane.svg,width=16,height=16] the _xOy_-plane, and a
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image:16px-Stylingbar_graphicsview_show_or_hide_the_grid.svg.png[Stylingbar graphicsview show or hide the
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grid.svg,width=16,height=16] grid in the _xOy_-plane
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* go image:16px-Stylingbar_graphicsview_standardview.svg.png[Stylingbar graphicsview
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standardview.svg,width=16,height=16] back to default view
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* change the image:16px-Stylingbar_graphicsview_point_capturing.svg.png[Stylingbar graphicsview point
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capturing.svg,width=16,height=16] _xref:/Point_Capturing.adoc[Point Capturing]_ settings
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* image:16px-Stylingbar_graphics3D_rotateview_play.svg.png[Stylingbar graphics3D rotateview play.svg,width=16,height=16]
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start / stop rotating the view automatically
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* adjust the image:16px-Stylingbar_graphics3D_view_xy.svg.png[Stylingbar graphics3D view xy.svg,width=16,height=16] view
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direction
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* image:16px-Stylingbar_graphics3D_view_orthographic.svg.png[Stylingbar graphics3D view
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orthographic.svg,width=16,height=16] choose the type of projection
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* open the image:16px-Menu-options.svg.png[Menu-options.svg,width=16,height=16] _xref:/Properties_Dialog.adoc[Properties
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Dialog]_ (GeoGebra Web and Tablet Apps)
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* display additional image:16px-Stylingbar_dots.svg.png[Stylingbar dots.svg,width=16,height=16]
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_xref:/Views.adoc[Views]_ in the GeoGebra window (GeoGebra Web and Tablet Apps)
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=== Style Bar for Tools and Objects
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Depending on the xref:/Tools.adoc[_Tool_] or object you select, the buttons in the _xref:/Style_Bar.adoc[Style Bar]_
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adapt to your selection. Please see xref:/Style_Bar.adoc[Style Bar Options for Tools and Objects] for more information.

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