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Parallels are lines that run the same direction and are the always the same distance apart. On a map (and the Earth) the lines of latitude (measurement North and South of the equator) are parallel.
Yes. That's a big part of the reason why the lines are often called "parallels".
The other name that is used for lines latitude is parallels. The main latitude is the equator which is at zero degrees.
Parallel chords are A sequence of chords consisting of intervals that do not change as the chord moves. For example the chord of C (C,E,G) would be parallel to a following chord ofF (F,A,C)
an arrow pointing to the east