Let P, Q be two points on the sphere of radius 1. Assume that P # -Q. Show that there exists a curve joining P and Q on the sphere of radius 1, centered at the origin.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...
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Let P, Q be two points on the
sphere of radius 1. Assume that P
# -Q. Show that there exists a
curve joining P and Q on the
sphere of radius 1, centered at the
origin.
Transcribed Image Text:Let P, Q be two points on the sphere of radius 1. Assume that P # -Q. Show that there exists a curve joining P and Q on the sphere of radius 1, centered at the origin.
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