乙に澄ましての英語

You put it in a strange way.

the former and the latter―the one and the other―one and another

to take one thing for another

a mask used in Noh dramas, called 'otogozen'

They are of different orders

One thing serves as a substitute for another―serves for another―does duty for another.

to use one thing instead of―in place of―in lieu of―in the room of―another

The one compares favourably with the other.

A is associated with B―（競技者なら）―A is matched against B―A is pitted against B.

to arrange a marriage between A and B

A is superior to B beyond comparison

it's an ill wind that blows no good

to place one man under another―place A under B's orders

There is an essential difference between the two.

to chum A on B

the first and second of the {ten calendar signs}

The one is inferior to the other in quality.

A is inferior to B beyond comparison

to sacrifice one thing to another―sacrifice one thing on the altar of another

How does the one compare with the other?

A does not compare with B

The one compares favourably with the other.

The one is twice as strong as the other

One man's gain is another man's loss.

The one does not compare with the other.

The one, as compared with the other,―when set against the other,―is of a higher tone.

A is inferior to B in ability.

The one is nothing to the other―nothing as compared with the other―as nothing compared with the other―nothing in comparison with the other.

A is superior to B in ability.

One party proposes to coalesce with the other