HP 48gII - Manual (Page 402)

Page 12-21
will get the equation ‘2*(1-SIN( θ))’ highlighted. Let’s say, we want to plot
also the function ‘2*(1-COS( θ))’ along with the previous equation.
• Press @@ADD@! , and type 2*„Ü1- T~‚t`, to
enter the new equation.
• Press @ERASE @DRAW to see the two equations plotted in the same figure. The
result is two intersecting cardioids. Press @CANCL $ to return to normal
calculator display.
Plotting conic curves
The most general form of a conic curve in the x-y plane is:
Ax
2 +By 2 +Cxy+Dx+Ey+F = 0. We also recognize as conic equations those
given in the canonical form for the following figures:
• circle: (x-x
o
) 2 +(y-y
o
) 2 = r 2
• ellipse: (x-x
o
) 2 /a 2 + (y-y
o
) 2 /b 2 = 1
• parabola: (y-b) 2 = K(x-a) or (x-a) 2 = K(y-b)
• hyperbola: (x-x
o
) 2 /a 2 + (y-y
o
) 2 /b 2 = 1 or xy = K,
where x
o
, y
o
, a, b, and K are constant.
The name conic curves follows because these figures (circles, ellipses,
parabolas or hyperbolas) result from the intersection of a plane with a cone.
For example, a circle is the intersection of a cone with a plane perpendicular
to the cone's main axis.
The calculator has the ability of plotting one or more conic curves by selecting
Conic as the function TYPE in the PLOT environment. Make sure to delete the
variables PPAR and EQ before continuing. For example, let's store the list of
equations