Betty, Created with GeoGebra
Saturday, January 14, 2012
Lemniscate
The equations  "r^2= a^2\cos(b\theta)")
and  "r^2= a^2\sin(b\theta)")
form the shape of lemniscate. If you take a look at the graph (in default setting) below, you might find out that there is no graph formed for 
till 
, and from 
to 
. Can you explain why? You may drag the value of 'a' to see the difference of graphs and 
for the forming of the curve. Then, choose another equation to display its graph and compare. What can you say about these two graphs?
Betty, Created with GeoGebra
Betty, Created with GeoGebra
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