Please find the attached tutorial

page 3;

To plot a rotated hyperbola, it is neces-

sary to do a coordinate transformation. The

transformation used to plot the hyperbola cor-

responding to a particular baseline takes points

calculated in an x, y coordinate system in which

the baseline is vertically upward (in which the

hyperbolae are easy to calculate), and rotates

the points clockwise by an angle ΒΈ so that the y22

axis is correctly oriented with the actual base-

line in the networks x, y coordinate system. It

then offsets the resulting points away from be-

ing centered around (0,0) to the center (x0, y0)

of the actual baseline. From a carefully drawn

sketch of the geometry of the (22) to (2) trans-

formation, determine the matrix expression for

onverting (x22, y22) values to (x2, y2) values, and

confirm that it is the same as used in the trans-

form program

You need to find the matrix co-

efficients so that:

x2 a11 a12 y22

y2 = a21 a22 = x22

Can someone please explain this to me... why do we need to rotate the hyperbola?

Your help would be really appreciated... thanks in advance.

toa.pdf