easy medal

Which diagram correctly shows that two points do not create a unique line in elliptical geometry?

Question

easy medal

Which diagram correctly shows that two points do not create a unique line in elliptical geometry?

theislander · Answer

attachment

directrix · Answer

I'm thinking that elliptical geometry is also known as spherical geometry where lines are great circles of the sphere. If that is correct, then think about lines of longitude on the earth (globe). If these great circles pass through both what would be the north and south poles as the "two points," would a unique "line" be formed? More than one?

theislander · Answer

yeah, im thinking the same thing. im leaning towards the answer being C

directrix · Answer

Look at some of the lines of longitude here: http://tinyurl.com/lotp7nj

directrix · Answer

I'm thinking that C is the correct option, too.

theislander · Answer

thanks for the help, im gonna go with C

directrix · Answer

You are welcome.