Thin lens equation, Physics

 In the thin lens equation first prove that Zz = f*f  (Hint use this diagram along with the characteristics of similar triangles). Then use this equation along with the act that Z^ = Z + f, z^ = z + f to prove the thin lens equation, which is equation 2.2 in the book. What are the two values of z^ for the cases where Z^ is plus infinity, and where Z^ = f.


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