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https://math.answers.com/math-and-arithmetic/Does_a_line_separate_space_into_three_distinct_sets_of_points

Does a line separate space into three distinct sets of points? - Answers

Sometimes, but only sometimes. A straight line in two dimensional space will partition it into points on the line, on one side of it and those on the other side of it. The same will apply to some simple curves including simply closed curves. But it will not apply to any curve that crosses itself more than once, nor will it apply to lines in 3-dimensional space.



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Does a line separate space into three distinct sets of points? - Answers

https://math.answers.com/math-and-arithmetic/Does_a_line_separate_space_into_three_distinct_sets_of_points

Sometimes, but only sometimes. A straight line in two dimensional space will partition it into points on the line, on one side of it and those on the other side of it. The same will apply to some simple curves including simply closed curves. But it will not apply to any curve that crosses itself more than once, nor will it apply to lines in 3-dimensional space.



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https://math.answers.com/math-and-arithmetic/Does_a_line_separate_space_into_three_distinct_sets_of_points

Does a line separate space into three distinct sets of points? - Answers

Sometimes, but only sometimes. A straight line in two dimensional space will partition it into points on the line, on one side of it and those on the other side of it. The same will apply to some simple curves including simply closed curves. But it will not apply to any curve that crosses itself more than once, nor will it apply to lines in 3-dimensional space.

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      Sometimes, but only sometimes. A straight line in two dimensional space will partition it into points on the line, on one side of it and those on the other side of it. The same will apply to some simple curves including simply closed curves. But it will not apply to any curve that crosses itself more than once, nor will it apply to lines in 3-dimensional space.

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