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A. circleB. zeroC. surface of a sphereD. threeE. twoF. oneG. hyperbolaH. greater than I. less thanJ. equal toK. infiniteL. elliptic planeM. hyperbolic planeN. lineO. luneP. pseudosphere
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1: In elliptic or spherical geometry a _____ is a great circle.
2: Hyperbolic geometry is base on the Gauss, Lobachevski, and Bolyai Parallel Postulate which states that, through a point not on a line, there exists a _____ number of lines parallel to the given line.
3: In Euclidean geometry, there can be _____ right angle(s) in a triangle.
4: Euclid's Parallel Postulate states that through a point not on a line there exists _____ line parallel to a given line.
5: In hyperbolic geometry, the standard coordinate plane is replaced by a _____.
6: In elliptic or spherical geometry, the sum of the measure of the angles in a triangle is _____ 180 degrees.

2007-06-28 15:27:55 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

1) ?

2) infinite

3) one

4) one

5) hyperbolic plane

6) equal to

2007-06-28 15:43:28 · answer #1 · answered by Lady Geologist 7 · 0 0

1 line connecting two points (N)
2 more than one (K)
3 at most one (F)
4 exactly one (F)
5 hyperbolic paraboloid (M)
6 greater than (H)

2007-06-28 23:14:48 · answer #2 · answered by TENBONG 3 · 0 0

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