Non Euclidean Geometry
Terms
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- if 2 points are polar
- infinite great circles connect
- if 2 points are non-polar
- only one great circle connects
- minor arch is
- distance less than a semi-cirle
- major arch is
- distance more than a semi-circle
- [no answer] all great circles intersect
- [no question] arch addition postulate=segment addition postulate
- lines can be parallel
- there are no parallel great circles
- 2 perpendicular lines form 4 right angles
- 2 perpendicular great circles form 8 right angles
- triangle angles measures always equal 180
- triangle angle measures are always over 180
- how are circles created?
- they are created through intersecting planes?
- how are parallel small circles determined?
- they are determined through parallel planes
- [no answer] A great circle is finite.
- [no question] Given a circle l and a point p, there exists only one perpendicular circle to l passing through p.
- [no answer] 2 intersecting circles divide the sphere into 4 regions.
- [no question] 2 distince great circles intersect in exactly 2 points.
- [no answer] A pair of perpendicular great circles divide the sphere into 4 finite congruent regions.
- [no question] A pair of interesting great circles intersect twice and create 8 right angles.