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Analytic window
The analytic (graphing) window is available in the plane geometry view. It adds an analytic (graphing) window on top of a portion of the plane geometry work area. This provides a combination work area that enables you to use both work area types without toggling the view between them.
To open the analytic window:
- Ensure that the work area is in Plane Geometry view.
- From the View menu, select Show Analytic Window
.
Press
. - A reduced size graphing window opens on the lower left corner of the plane geometry space.
You can alter the work area, without changing the view, to temporarily:
- Hide the axes. Any graphs or objects remain displayed on the work area.
- Hide the entry line.
- Hide the scale.
- Resize the axes using the zoom tools or by dragging tic marks.
To remove the analytic window from the work area:
- From the View menu, select Hide Analytic Window .
Press
.
Follow along with this example to see the relationship between the length of a side of a square and the length of its diagonal:
First, open a new document. To do this press 
.
Use the navpad to select Add Graphs & Geometry from the menu to open a Graphs & Geometry Application.
Now press 
to change the view to Plane Geometry view.
The first thing we want to do is draw a square using the 
Regular Polygon. Access the tool by pressing 
.
We want a regular four sided figure, or a square.
To do this, click once to define the center point, and again to decide the size of the shape, much like drawing a circle. When using the regular polygon tool, there is an extra step. Move your cursor around the center point clockwise. The shape will have less and less sides. Keep moving until you get only 4 sides remaining. Press esc to exit the tool, and now you have a square that you can manipulate by grabbing and moving its points with the navpad. Use the navpad to grab and move your square to the bottom right hand corner.
Now use the Segment tool to draw a diagonal on your circle.
Access this tool by pressing 
.Click once on a corner point of your square, and again on the opposite corner point.
Now we need to measure the diagonal and a side of the square.
Use the Length tool. Press 
to access it.
Click on your diagonal line to measure it and move your cursor and click again to place the measurement. Put your cursor over a side of the square, press tab, and then click. Move your cursor and click again to place the measurement. Press esc to exit the tool. Put your measurements in the top right hand corner.
Note: Your measurements may be different than the ones shown.
Now we want to define the measurements as variables.
We want the diagonal length to be d.
We want the side length to be s.
To do this, click a couple times on the diagonal measurement until you can insert text. Like the image below.
Type in d=: (
) in front of the measurement.
Press 
to define the variable.
Now repeat the process for s.
Type in s=: (
) in front of the measurement.
Press to define the variable.
Now your screen should look something like this.
Note: If you grab a corner of the square and change the size, the measurements change as well.
Now it is time to utilize the analytic window.
We need to Show Analytic Window . Press to show the Analytic window.
Now, to make it easy to see the data we want, we will change the view of the analytic window. Press 
to access the attributes tool. Click on the axes of the analytic window use the navpad to go down once and right twice to select Axes quadrant 1 settings.
Press to apply and esc to exit the tool.
Now we will need to use the measurement transfer tool.
Press 
to access it.
Click on the diagonal measurement and then on the y axis to transfer the measurement.
Click on the side measurement and then on the x axis to transfer the measurement. Press esc to exit the tool.
You can change the x and y axis labels to s and d.
Now use the Perpendicular tool.
Press 
to access it.
Click the point on the y axis and then the y axis.
Click the point on the x axis and then the x axis.
Your screen should look something like this.
If your lines are not intersecting, make your square smaller by grabbing and moving a corner point.
Now place a point on the intersection of these two lines.
Press 
to access the point tool.
Click on the intersection of the points.
Now use the Hide/Show tool to hide the lines and the points.
Press 
to access the tool.
Click on the points on the x and y axis and the lines that intersect.
Press esc to exit the tool.
The point on this graph represents the relationship between the side and diagonal measurements. Resize the square as you please and watch the point move. We know that the relationship is linear and that the length of a diagonal is the length of a side times 
.
To test this lets graph the equation f(x) = x.
Press tab to move to the function Entry Line, and type x.
Press to graph this line, then press esc to return the focus to the work area. Move the cursor to a point along the line y = x away from the origin, and your cursor should look something like this: 
Click and grab the function and move it so that the line goes through the point, try to be as accurate as possible.
As you can see, the slope of the line is about 1.41
This is very close to the value of .
Try changing the function to f(x) = * x
Change the size of the square and watch the point move along the line.
This shows that d/s equals . This proves that s * = d
