Graph of a parametric curve

GRAPES draws graphs of parametrics curves of the form x = f (t) and y = g (t).

New curve

• Pointing the cursor on the button [Draw] in the Curve Area on the Data Panel, the available names for curve are suggested, select one of them.
  
• The Properties window will appear. Input information as explained in the following.
  

Edit and Delete

• In the Curve Area, click the expression you want to edit or delete. The Properties window will appear. Edit as explained in the following.
  

Select the curve type

• The parametric curve and the polar equation are available.
• In the example below, we have selected the [Parametric Curve].
  

Input expressions (values)

• By clicking the right side of "x =", the calculator will appear, then input your expression. All the parameters available in GRAPES are also available here.
  
• Input also an expression for "y =".
  
• If "x" or "y" is used in an expression, it means the abscissa and the ordinate of the same point. To refer to the components x, y, and r of any points, input "Ax", "Ay", "Ar", etc.
  "y1" ... "y9" are not available.
  

Parameter and its range

• Select a parameter.
  The default parameter is "t", but you can select other parameter by putting the cursor on "t".
• Input from the calculator the upper and lower bounds of parameter range.
  The value can be indicated by an expression.
• Set the increment of parameter.
  Setting a small value makes drawing more precise.
  Set a value less than 3000 on "(upper bound - lower bound)/increment"

Graph style

• Select the color, the thickness, the line type, On/Off of the after image, and On/Off of the label.
  The default color of interior part is transparent. You can fill the interior part by changing the default.
  
• Click [OK], when you finish.
  

Point

• To explain that the graph of parametric curve is drawn by moving point, GRAPES can show it by a moving point on the parametric curve. Therefore, the curve will be shown even with transparent point.
• The point is shown according to the parameter values indicated in the Parameter Area.

Label

• Point and Line can be drawn and can be named (label).
  
• A descriptive text can be added to the label by inputting it in the text box, this text will be displayed on the screen.
  
• The label can, like Note, show an expression and its value. But, the phrases for some lines and the color change are not available.
  
• The font size can be changed in the [Scale Options].