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1. To fell something with a saw. A noun or pronoun can be used between "saw" and "down." I can't believe they sawed down the giant oak tree in the field behind our house. I used to love climbing that thing as a kid! Rebels swarmed the capitol building, sawed the flagpole down, and set the flag of the dictator alight.
2. To use a saw to shorten something. A noun or pronoun can be used between "saw" and "down." The gangster sawed down the barrel of the shotgun and concealed it in his trench coat. These lengths of pipe are too long, so we'll need to saw them down.
see (one) down (to something or some place)
1. To escort or accompany one to a lower level or position. I could tell Mrs. Jenkins was having trouble on the stairs, so I offered to see her down. Thank you for taking the time to come in and talk to us. Larry here will see you down to the lobby.
2. To escort or accompany one to some place or thing away from a more central or northerly location. My parents made a point of seeing me down to the train station when I left for college. Thank you for taking the time to come in and talk to us. Larry here will see you down to the lobby.
saw something down
to cut something down with a saw. We are going to have to saw that dead tree down before it falls on the house. I'll saw down the tree.