GraphingCalculator 3.2;
Window 46 8 748 778;
PaneDivider 96;
BackgroundColor 0 0 0;
BackgroundType 0;
Slider -2.2 2.2;
SliderSteps 88;
SliderControlValue 15;
SliderThrottle 20;
T -2 2;
U -1.9 1.9;
V 0 6.28318530717959;
2Dp.BottomLeft -3.625 -2.96875;
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>y </I>= <I>n</I> intersecting the hyperboloid of one 
sheet <I>x</I>^2 + <I>y</I>^2 – <I>z</I>^2 = 1. The trace formed by the intersection is graphed on the
 <I>xz</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;
Expr y=n;
Color 17;
Grain 0.883333333333333;
Expr x^2+y^2-z^2=1;
Color 7;
Opacity 0.7;
Expr vector(x,y,z)=vector(sqrt(1+u^2)*cos(v),sqrt(1+u^2)*sin(v),u);
Color 2;
Grain 0.833333333333333;
Expr vector(x,y,z)=vector(t,n+0.01,sqrt(t^2+n^2-1)),z<1.9;
Color 2;
Expr vector(x,y,z)=vector(t,n+0.01,-sqrt(t^2+n^2-1)),z>-1.9;
Color 2;
Expr vector(prime(x),prime(y))=vector(t,sqrt(t^2+n^2-1));
Color 2;
Expr vector(prime(x),prime(y))=vector(t,-sqrt(t^2+n^2-1));