A tangent plane to the ellipsoid x². y? a b2 meets the axes in A, B, C. Show that the envelope of the sphere OABC is (ax)23 + (by)2/3 + (cz)2/3 = (x² + y² + z?)2/3. %3D
A tangent plane to the ellipsoid x². y? a b2 meets the axes in A, B, C. Show that the envelope of the sphere OABC is (ax)23 + (by)2/3 + (cz)2/3 = (x² + y² + z?)2/3. %3D
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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Question
![A tangent plane to the ellipsoid
x² y? z2
a?
meets the axes in A, B, C. Show that the envelope of the sphere OABC is
(ax)2/3 + (by)2/3 + (cz)2/3 = (x² + y² + z?)2/3.
62
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28249493-ce02-4439-91ee-7c4281bec9c1%2Fdd7cfb3f-d096-4304-8a64-abd1f8b6a72b%2Fd3tjcvf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A tangent plane to the ellipsoid
x² y? z2
a?
meets the axes in A, B, C. Show that the envelope of the sphere OABC is
(ax)2/3 + (by)2/3 + (cz)2/3 = (x² + y² + z?)2/3.
62
%3D
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