edge vs luff

edge and luff both are nouns.

Word	Noun	Adjective	Verb	Adverb
edge	Yes	No	Yes	No
luff	Yes	No	Yes	No

As nouns, luff is a hyponym of edge; that is, luff is a word with a more specific, narrower meaning than edge:

edge: the outside limit of an object or area or surface; a place farthest away from the center of something
luff: (nautical) the forward edge of a fore-and-aft sail that is next to the mast

Other hyponyms of edge include border, hem, border, molding, moulding, selvage, selvedge, berm, shoulder, roadside, wayside.

edge (noun)	luff (noun)
a sharp side formed by the intersection of two surfaces of an object	the act of sailing close to the wind
the outside limit of an object or area or surface; a place farthest away from the center of something	(nautical) the forward edge of a fore-and-aft sail that is next to the mast
a slight competitive advantage
the attribute of urgency in tone of voice
the boundary of a surface
a line determining the limits of an area

edge (verb)	luff (verb)
lie adjacent to another or share a boundary	flap when the wind is blowing equally on both sides
provide with an edge	sail close to the wind
advance slowly, as if by inches
provide with a border or edge