Advanced Math Question: Let c be a circle with polints , w, w, and let ze be another point (all i the complex plane). Construct a circle which passes through Zo and which is tangent to c at tp. Give a precise definition for your circle in terms of wo, 20. 21. 2. It might help your You can start with a Mobius transformation (from Conway's book for Complex Variables) that sends wo t infinity in a way that is as convenient as possible. Also, you might give your cirde as ( Tu zes) where Tis some function you could write a formula for ands is some set which is is also precisely described. Thanks.
Advanced Math Question: Let c be a circle with polints , w, w, and let ze be another point (all i the complex plane). Construct a circle which passes through Zo and which is tangent to c at tp. Give a precise definition for your circle in terms of wo, 20. 21. 2. It might help your You can start with a Mobius transformation (from Conway's book for Complex Variables) that sends wo t infinity in a way that is as convenient as possible. Also, you might give your cirde as ( Tu zes) where Tis some function you could write a formula for ands is some set which is is also precisely described. Thanks.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Advanced Math
Question:
Let c be a circle with points wo, wi, wz, and let zo be another point (all in the complex plane).
Construct a circle which passes through zo and which is tangent to c at wg.-
Give a precise definition for your circle in terms of wo, 2o. Z1. 2.
It might help you:
You can start with a Möbius transformation (from Conway's book for Complex Variables) that sends wo to
infinity in a way that is as convenient as possible.
Also, you might give your circde as { T2 zes } where Tis some function you could write a formula for and s
is some set which is is also precisely described.
Thanks.
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