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Exercise 7.13. Show that the map $,(r. y) = r²r x² + y²¹ 2) y² is inversion in the circle with radius r and centered at the origin O.

Exercise 7.13. Show that the map $,(r. y) = r²r x² + y²¹ 2) y² is inversion in the circle with radius r and centered at the origin O.

Advanced Engineering Mathematics
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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Hyperbolic Geometry

Exercise 7.13. Show that the map $, (r. y) = is inversion in the circle with radius r r²r r² + y²¹ r² + y² and centered at the origin O.
Transcribed Image Text:Exercise 7.13. Show that the map $, (r. y) = is inversion in the circle with radius r r²r r² + y²¹ r² + y² and centered at the origin O.
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