Non Euclidean Geometry

Front 1

if 2 points are polar

Back 1

infinite great circles connect

Front 2

if 2 points are non-polar

Back 2

only one great circle connects

Front 3

minor arch is

Back 3

distance less than a semi-cirle

Front 4

major arch is

Back 4

distance more than a semi-circle

Front 5

[no answer] all great circles intersect

Back 5

[no question] arch addition postulate=segment addition postulate

Front 6

lines can be parallel

Back 6

there are no parallel great circles

Front 7

2 perpendicular lines form 4 right angles

Back 7

2 perpendicular great circles form 8 right angles

Front 8

triangle angles measures always equal 180

Back 8

triangle angle measures are always over 180

Front 9

how are circles created?

Back 9

they are created through intersecting planes?

Front 10

how are parallel small circles determined?

Back 10

they are determined through parallel planes

Front 11

[no answer] A great circle is finite.

Back 11

[no question] Given a circle l and a point p, there exists only one perpendicular circle to l passing through p.

Front 12

[no answer] 2 intersecting circles divide the sphere into 4 regions.

Back 12

[no question] 2 distince great circles intersect in exactly 2 points.

Front 13

[no answer] A pair of perpendicular great circles divide the sphere into 4 finite congruent regions.

Back 13

[no question] A pair of interesting great circles intersect twice and create 8 right angles.