Elliptic Geometry

G

Guest

Guest
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!
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
8,100
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”!
 

Denis

Senior Member
Joined
Feb 17, 2004
Messages
1,688
Hmmm....what grade are you in, BM ?
 
G

Guest

Guest
Thanks for the help! 10th grade
 
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