Elliptic Geometry

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I need help explaining why this theorem is not true in elliptic geometry:

Through a point outside a line, there is exactly one line perpendicular to the given line.


Please help!
 
Elliptical Geometry is also known as Riemannian Geometry.
In Riemannain Geometry the following is the case:
“Given a line l and a point P not on l there exists possibly more than one line through P perpendicular to l.

Please note the qualifier “possibly”!
 
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