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Elliptical geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry was replaced by the statement that through any point in the plane, there exist no lines parallel to a given line. A consistent geometry - of a space with positive curvature - was developed on that basis.
It is, therefore, by definition that parallel lines do not exist in elliptical geometry.
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Two parallel lines have equal slope?
Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.
Are two lines that lie in parallel planes always sometimes or never parallel?
SOMETIMES. I just did that problem in my California geometry book. They can either be parallel or skew...making the answer sometimes.
How many parallel lines does a cone have?
A cone does not have any parallel lines
What are some examples of parallel lines and a pair of perpendicular lines?
Railroad tracks or the number 11 are parallel lines. A cross or a small t are perpendicular lines. Also the two ll's in the middle of parallel are parallel lines.
What is parallel line segment?
lines which lie in same pane are known as parallel lines or lines which do not intersect are known as parallel lines they extend in both the direction
