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In elliptical geometry do two points not determine a unique line?
No. In spherical elliptical geometry, for example, given the earth's North and South poles, there are an infinite number of lines of longitudes between them.
Why is the distance between two longitude lines at the north pole 0?
Because all of the longitudes converge in a single point, at both the north andsouth poles. When you stand at a pole, you're standing on every longitude.
How many lines can pass through two distant points?
There can be infinitely many lines: think of the longitudes through he North and South poles. However, there can be only one straight line.
Does each line of longitude parallel to another line of longitude?
Yes No, lines of longitude are as parallel to each other as the earth is flat. All longitudes intersect at the north and south poles.
Why are longitudes equal in length?
Every line of constant longitude joins the north and south poles. Therefore the length of every line of constant longitude is one half of the earth's polar circumference.
