Let's try to change the equations to explore other graphs!

Let's try to investigate the equations for various *a* and *b *!

When *a*=1 and *b*=1, then the graph
of the equations and above graph are same shape (circle) .

Let's try to change the *a* for various
number in the case of *b (b=1) *is fixed !

*a=2.b=1*

*a=3,b=1*

*a=4,b=1*

It seems the number of *a* concern with
the nimber of rings. How about decimal?

*a=2.1,b=1*

*a=2.3 , b=1*

*a=2.5 , b=1*

*a=2.9 , b=1*

Click here for
movie file of In the case of*.*

Let's try to change the *b *for various
number in the case of *a (a=1)* is fixed !

*a=1, b=2*

*a=1 , b=3*

*a=1, b=4*

*a=1, b=5*

*a=1,b=6*

Concerning with the number of rings is when
*b* is odd number. When *b* is even number, it seems
the number of *b* concern with the number of concave. It
seems *a-1.*

In the case of , let's try to conparasol two equations and !

*a=1 ,b=3*

Look at above graph !

*a=2 ,b=6*

*a=4, b=12*

*a=5, b=4*

*a=10, b=8*

It seems that the graphs are same in the case of .