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Foundations of Geometry Test 1
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Terms in this set (13)
Points of the Gap plan
{(x,y)|x,y in the reals, x<or equal to 0 or x>1}
Lines of the Gap plane
same as in E with the gap removed
Distance of the Gap plane
{e(AB) if on th same side of the gap
{e(AB)-e(MN) else
Is the Gap plan bounded or unbounded?
Unbounded
Points of Hyperbolic plane
{(x,y)|x^2+y^2<1}
Lines of Hyperbolic Plane
The chords of the unit circle without endpoints
Diameter of Hyperbolic plane
ln[e(AN)e(BM)/e(AM)e(BN]
Is the Hyperbolic plane bounded or unbounded?
Unbounded
Points of Spherical Plane
{(x,y,z)|x^2+y^2+z^2=r^2}
Lines of Spherical Plane
the great circles of the radius r on the surface of the sphere or the intersections of spheres passing through the origins
IS the Spherical plane bounded or unbounded?
Bounded
Points of the Minkowski Plane
{(x,y)|x,y in the reals}
Lines of the Minkowski Plane
nonvertical=
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