View source for GeoGebra-for-Engineering-drawing/C2/Orthographic-Projection-of-a-Regular-Hexagon/English

Title of script: Engineering Drawing with Geogebra

Authors: Komal B, Jitendra Shah

Keywords: Video Tutorial, Engineering Drawing, Geogebra



{| style="border-spacing:0;"
| style="border-top:0.002cm solid #000000;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Visual Cue
| style="border:0.002cm solid #000000;padding:0.097cm;"| Narration

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 1
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Welcome to this Spoken Tutorial on Engineering Drawing with Geogebra: Orthographic Projection of a Regular Hexagon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 2
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| In this tutorial we will learn 

how to draw the orthographic projection of a regular hexagon.

To demonstrate

the effect of changes in dimensions on the projections of a plane using Geogebra.

We will do this through animation.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 3
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You will need to have a working knowledge of Geogebra.


Please go through the tutorials on the Spoken Tutorial website on Geogebra if required.

You also need to have a good knowledge of engineering drawing.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 4
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Here we are using Geogebra 3.2.40.0 on Ubuntu 10.10. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now, let's first open Geogebra.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Click on Applications >> Science >> point to Geogebra 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Click on the Applications menu. 

Select Science and then click on Geogebra.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Graphics

window.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You will be working mostly on the graphics

window.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the icons on the toolbar.

Point to the Input box.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can use the icons on the toolbar to draw the constructions.

You can also do this by writing commands in the input box.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| I have opened a Geogebra file that shows the basic principles of Orthographic Projection.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Front view


Point to the Top view


Point to the Horizontal Plane and the Vertical Plane.



| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| In Engineering Drawing we draw an object in 3D space using views that appear on the planes of projection.


The Front view, Top view and Profile views are used to visualize the geometrical object. 

The Vertical, Horizontal and Profile planes (VP,HP,PP) are the principal planes of projection.

In an Orthographic projection, the object is viewed along parallel lines. 

The lines are perpendicular to the plane of the drawing.

The lines drawn from a given view to obtain the other views are called generators. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Line Segment tool
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Let us now draw the Orthographic Projection of a regular hexagon.

Click on File>>New to open a new Geogebra window.

Select the Segment between 2 points icon.

Click twice on the graphics window to get a line segment.

Right click on one point and select rename and enter X in the window that opens.

Similarly, label the other point Y.

We have drawn the XY line.


You will notice that when we create a line segment the points, lines etc of this construction appear on the algebraic window. Point coordinates, distances, areas, equations , etc, are also shown here. You can use the algebraic window to select a particular object and make necessary changes. preview the same in the graphics window. You will learn more about this later in the tutorial.


Select the Insert Text icon.

Enter VP in the window that opens.

Similarly, write HP below the XY line.

The plane above the XY line is the VP and the plane below the XY line is the HP. 

The intersection of the HP and VP is the XY line.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the arrow in the Polygon tool. 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Here we will draw the Top view and Front view of a plane surface, a Regular Hexagon.

Let us construct the hexagon now.

Click the arrow in the polygon icon 

Select the Regular Polygon icon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Click the Regular Polygon icon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You will have to specify two points and enter the number of vertices.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Graphics window.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Click twice on the Graphics window and enter the number of vertices in the window that opens.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Type 6 in the Regular Polygon>> Points window.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Since we are drawing a Regular Hexagon, I will enter 6.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the hexagon on the drawing pad.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| A regular hexagon appears on the drawing pad.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| To draw the Top view, we have to draw the generators of the Hexagon. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the perpendicular line icon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| To do this we will select the perpendicular line icon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now let's draw perpendicular lines through the vertices of the hexagon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select a point on the hexagon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Select a point.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select a line.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Then select the XY line. You will obtain the perpendicular through the point. 

Draw the other generators similarly.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the generator
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Next we have to mark the required points on the generators to get the Top view.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Top view
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| The Top view of the Hexagon is a line.

Here, we view the hexagonal plane on the HP .

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the New point tool.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Use the New Point tool and the Line Segment tool to draw the Top View.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the New Point icon
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Select the New Point icon. 

Use the grid to mark a point 2 units from the XY line.

Click on the generator to create a point.

Similarly, create a point on the other generator.

Now, select the Segment between 2 points icon.

Select the 2 points.

A line segment appears on the screen.

This is the Top view. This is the front view we have drawn earlier.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the vertices.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| As you can see, some of the vertices are coincident.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the construction line
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| When we show the generators, the construction lines should not be visible.

What we see in the final drawing are the lines from the vertices of the hexagon on the Front view to the points on the line which is the Top view.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Segment between two points tool.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| To draw this, use the Segment between 2 points tool.

Select the topmost vertex of the hexagon, then select the point on the Top view.

Similarly, draw the other generators.

Now hide the construction lines. To do this right click on the object and deselect the Show Object option.

We have drawn the generators.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the hexagon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| We will now look at the formatting so that we can arrive at the final drawing.


Here we have hidden the grid and the axes as this is required only for the purpose of construction.


Here we have shown the projection lines as this is required to arrive at the final drawing.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can view the Object Properties of the geometrical object you create.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the Object >> Right-click
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Select the object and right-click to get the Object menu.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select Object Properties. 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Select Object Properties. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| A new window opens.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the color.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can choose any color on the color menu of the Object Properties menu.

Use this to show the Top view and the Front view.


Preview the object in the Graphics window.

Here we have selected Black and Grey.As you can see, the sides of the hexagon are Black and the inside of the Hexagon is grey.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Choose a color on the Object Properties>>Color menu

Point to the generator 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can choose any color on the Color menu of the Object Properties.

Use this to show the Top View and Front view. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the object in the Graphics window.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Preview the object in the Graphics window.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the line.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| The lines that are not visible in the given view and axial lines are drawn as dotted lines.


Select the line h, under Objects>>Line and preview the selection in the Graphics window.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select a dotted line on the Object properties>>Style >>Line Style menu option.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can select a dotted line on the Style menu here.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Uncheck the Object Properties>>Basic>>

Show Object option.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can choose to hide the object by unchecking the Show Object option.

Go to Basic, select the line under Objects>>Line Uncheck the Show Object option.

Use this to hide lines and points used in the construction.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now let us view the generators. To do this click the line segment , say k,under Objects>>Segment

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Move the Style>>Line thickness slider.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can change the line thickness using 

the slider.

Generators are thin lines.

Use this option to make thin lines when you draw generators. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Object Properties menu.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can use the Object Properties menu to hide points used in the construction.

Click the circular icon beside the name of the point under Objects>>Point. Similarly , hide the other points in the drawing.

As you can see,when we click the icon the point disappears on the graphics window. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now, let us label the drawing.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Insert text icon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Use the Insert Text tool to do this.

We will first label the vertices of the hexagon in the front view.

Select the Insert Text icon.

Click in the graphics window to place the cursor, where you want the text to appear.

Enter the name of the point in the window that opens.

Label all the points similarly.

Now let us label the points projected in the Top view. 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Place the cursor inside the Graphic s window.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now we will add a text annotation to show the Top view and the Front view.

We will use the Insert text tool to do this.

Select the Insert Text icon.

Let us put the text Top view here.

Click inside the Graphics window.

A new window opens.

Enter the text in the Edit Box and click on OK.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the segment between 2 points tool. 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now let us add the Dimensioning.


Use the Segment between 2 points tool to do this.

Click twice on the Graphics window to get the Line segment.

Hide the points created in the construction.

Similarly, draw the other Dimension lines.

Change the Point style on the Object Properties menu to show the arrowheads.

Now use the Insert Text tool to show the length of the side of the hexagon.

We have drawn the dimension lines.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Command List.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can view the commands on the Command List here.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the commands on the Command List.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can draw a Polygon or a perpendicular using 

commands too.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Now let us add an annotation to our drawing.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Input box.

<nowiki>Type Text[“Orthographic Projection”] .</nowiki>
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| For this we will use the Text command.

Orthographic Projection of a Regular Hexagon.

Select the Move icon.

Now select the Title text and drag it to the required position.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the geometrical object.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| In any Engineering Drawing problem, you will have to visualize a geometrical Object and its transformations.


Here we are showing the grid and the axes which will be useful in viewing the transformation.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the Move icon. Select a point on the hexagon and drag with the mouse.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You can use the Move icon or sliders to change the dimensions of the geometrical figure.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Slider icon.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| 

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Applets menu>>File>>Export>>Dynamic Worksheet as webpage(html)
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You might also want to look at Applets.

You can create a dynamic webpage with input parameters and view the Geogebra animation in the form of an applet.

You can read more about this on the Spoken tutorial website (www.spoken-tutorial.org)




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Geogebra animation.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| In Engineering Drawing, we view a geometrical object in 3D space, with views in 2D space.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Top view.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Generally, the Top view and Front view of the geometrical object is used.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the other views.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| But the Right Side view, Left Side view, Bottom view and Rear view can also be used in this regard.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Right click on the slider. Click on Animation On.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| In an orthographic projection, a geometrical object is viewed perpendicularly.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the Top view and Front view.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Hence, the object is in true shape in the Top view or Front view.

The Front view is in true shape here.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Click on Animation On to stop it.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Let us see, how to view the transformation using Geogebra

You can view the variation in length of sides,in number of vertices.

Here we are showing the vertices of the hexagon, as we will use the points to increase the side length using the Move tool.


Select the Move icon. Now select one of the free points and drag the mouse to increase the side length.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Click on the Move tool.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| .

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select a point on the polygon and drag with the mouse.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| We see the variation in the size of the polygon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Select the Slider on the Graphics window. Right click and click on Animation On. 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| We will now demonstrate the change in the number of sides using animation.


I have opened a ggb file, which is the geogebra file format, that shows an animation created with Geogebra.


You can learn more about making animations with sliders on the Spoken Tutorial website.


We will use the Slider to vary the number of sides.

Right click on the slider and click on Animation On

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the polygon
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| You will observe the change in the shape of the polygon.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Point to the slider.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| The number of vertices changes from 3 to 10 which is set on the slider.

You can view the change in the Top view and the Front view with change in the number of sides.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Click on Animation On to stop the animation.
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Right click on the slider and click on Animation On to stop the animation.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| This is how the geometrical object is visualized with Computer Aided Drawing using Geogebra.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| 
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| This brings us to the end of this Spoken Tutorial.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 6
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| To summarize-

We have seen how Geogebra can be used

# To draw the Orthographic Projection of a Regular Hexagon.
# To demonstrate by animation, the effect of changes in dimensions on the projections of a plane using Geogebra.
# We have learnt
## 
### 
#### How to make geometrical constructions

using Geogebra. 

2. How to change the parameters to view 

the corresponding changes in the 

geometrical figures.

3. How to draw the different views using 

Geogebra.




|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 7
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Assignment

1. Draw the orthographic projection of a regular pentagon.

Show the transformation

# With variation in position with respect to the HP and VP
# With movement of vertices.
# When base is on HP
# When one of the corners is on HP
# At a given distance in front of VP



|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 8

About Slide'''About the Spoken Tutorial Project'''

* Watch the video available at [http://spoken-tutorial.org/What_is_a_Spoken_Tutorial http://spoken-tutorial.org/What_is_a_Spoken_Tutorial]
* It summarizes the Spoken Tutorial project
* If you do not have good bandwidth, you can download and watch it


| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| Watch the video titled, ‘What is a spoken tutorial’ on the Spoken Tutorial website.


You can download the tutorial if required.

|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 9

About Slide'''Spoken Tutorial Workshops'''The Spoken Tutorial Project Team

* Conducts workshops using spoken tutorials
* Gives certificates for those who pass an online test
* For more details, please write to [mailto:contact@spoken-tutorial.org contact@spoken-tutorial.org]


| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| The Spoken Tutorial Project Team

* Conducts workshops using spoken tutorials
* Gives certificates for those who pass an online test



|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 10 Acknowledgment SlideAcknowledgments''' '''

* Spoken Tutorial Project is a part of the Talk to a Teacher project
* It is supported by the National Mission on Education through ICT, MHRD, Government of India
* More information on this Mission is available at
* [http://spoken-tutorial.org/NMEICT-Intro http://spoken-tutorial.org/NMEICT-Intro]


| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| * Spoken Tutorial Project is a part of the Talk to a Teacher project
* It is supported by the National Mission on Education through ICT, MHRD, Government of India
* More information on this Mission is available at

* [http://spoken-tutorial.org/ spoken][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ hyphen][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ tutorial][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ dot][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ org][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ slash][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ NMEICT][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ hyphen][http://spoken-tutorial.org/  ][http://spoken-tutorial.org/ Intro]



|-
| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:none;padding:0.097cm;"| Slide 11

About the contributor Slide'''About the contributor'''

* This tutorial has been contributed by Komal from Mysore
* It is shared under the Creative Commons license
* Thanks for joining


| style="border-top:none;border-bottom:0.002cm solid #000000;border-left:0.002cm solid #000000;border-right:0.002cm solid #000000;padding:0.097cm;"| * This is Komal from SJCE, Mysore
* Hope you enjoyed this Spoken Tutorial.
* Thank you have a good day.



|}