How do I parameterize the intersection of x 2 − y 2 = 11 and...
How do I parameterize the intersection of and
Answer & Explanation
Use and , or and instead of and . You just need to remember that , or that . I'll go with the hyperbolic functions. Since is equivalent to , we may simply let and . The second equation immediately gives z. One possible parametrization is
for example. Observe that the intersection is not connected, and the other half is parametrized by