Concentric circles are parallel?

In summary, the conversation discusses the concept of parallelism, specifically in relation to lines and curves. The usual definition of parallel in Euclidean geometry only applies to straight lines, but there are other definitions that include curves. The key characteristic of parallelism is maintaining a constant distance between two objects, regardless of whether they are straight lines or curves. However, the understanding of parallelism is limited by humanity's focus on straight lines, making it difficult to understand non-Euclidean geometries. There is a need for a more inclusive definition of parallelism that recognizes its presence in natural phenomena.
  • #211
To add concentric circles to our definition of "parallel lines," you would have to prove all the rules for parallel lines apply. One of those rules has to do with parallel lines intersecting other parallel lines (corresponding angles are equal). Can you show me even one that works? (ALL should work if what you say should be accepted.)
 

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  • #212
AC130Nav said:
To add concentric circles to our definition of "parallel lines," you would have to prove all the rules for parallel lines apply. One of those rules has to do with parallel lines intersecting other parallel lines (corresponding angles are equal). Can you show me even one that works? (ALL should work if what you say should be accepted.)

The straight line parallel has the phase angle to be equal, generally, the curve parallel does not have the corresponding angle to be equal.
 
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