parallel lines
parellel lines
remain an equal distance apart
Parallel lines are always the same distance apart and never touching. This is the definition of parallel in the plane. When we deal with spheres and other geometries, we must sometimes modify this definition. In any case, in the plane they do not meet.
I think "parallel" is the word you're looking for?
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length
parallel lines
Parallel.
parellel lines
remain an equal distance apart
Parallel lines-lines in the same plane with the same slope.
Parallel lines are always the same distance apart and never touching. This is the definition of parallel in the plane. When we deal with spheres and other geometries, we must sometimes modify this definition. In any case, in the plane they do not meet.
Parallel
I think "parallel" is the word you're looking for?
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length
Lines are parallel if they lie in the same plane, and are the same distance apart over their entire length. Parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.
In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere. Definition of parallel lines: Lines that always stay the same distance apart and never meet.
Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.