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Is every half plane contains edge?

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Anonymous

13y ago
Updated: 8/20/2019

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13y ago

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What is the union of two coplanar half-planes an their common edge?

The union of two coplanar half-planes along their common edge forms a region that includes both half-planes and their shared boundary line. This region is essentially the entire plane on one side of the edge, encompassing all points in both half-planes. If the half-planes are defined by two lines intersecting at their common edge, the union will include all points on both sides of the edge, effectively covering a larger area.


Lines on a hyperbolic plane are considered to be?

Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane


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