GraphingCalculator 3.2;
Window 44 6 751 779;
PaneDivider 99;
BackgroundColor 0 0 0;
BackgroundType 0;
Slider -1 1;
SliderSteps 80;
SliderControlValue 4;
SliderThrottle 20;
T -1 1;
2Dp.Scale 0.1 0.1 5 5;
2Dp.BottomLeft -1.3875 -1.15625;
3D.X -1 1;
3D.Y -1 1;
3D.Z -1 1;
3D.View 0.567540183617332 -0.785650132947371 -0.246276285053136 0.725246376662837 0.618630191777373 -0.302182691362494 0.389763817095951 -0.00711016325092326 0.92088740487726;
3D.Rotation 1 0 0 0 1 0 0 0 1;
Text "<size=13>The left pane shows the vertical plane <I>x </I>= <I>n</I> intersecting the hyperbolic paraboloid 
<I>z</I> = <I>x</I>^2 – <I>y</I>^2. The trace formed by the intersection is graphed on the <I>yz</I>-plane 
shown in the right pane.  
Move the slider (or press the play button) below to change the position of the plane.



";
Color 6;
Grain 0.55;
Opacity 0.7;
Expr x=n;
Color 7;
Grain 0.883333333333333;
Expr z=x^2-y^2;
Color 2;
Grain 0.716666666666667;
Expr vector(x,y,z)=vector(n,t,n^2-t^2+0.01);
Color 2;
Grain 1;
Expr vector(prime(x),prime(y))=vector(t,n^2-t^2);