Seek, a.
Sick. [Obs.] Chaucer.
2 other Webster entries under this spelling
Seek, v. t. [imp. & p. p. Sought; p. pr. & vb. n. Seeking.]
1. To go in search of; to look for; to search for; to try to find. The man saked him, saying, What seekest thou And he said, I seek my brethren. Gen. xxxvii. 15,16.
2. To inquire for; to ask for; to solicit; to bessech. Others, tempting him, sought of him a sign. Luke xi. 16.
3. To try to acquire or gain; to strive after; to aim at; as, to seek wealth or fame; to seek one's life.
4. To try to reach or come to; to go to; to resort to. Seek not Bethel, nor enter into Gilgal. Amos v. 5. Since great Ulysses sought the Phrygian plains. Pope.
Seek, v. i.
To make search or inquiry: to endeavor to make discovery. Seek ye out of the book of the Lord, and read. Isa. xxxiv. 16. To seek, needing to seek or search; hence, unpreparated. "Unpracticed, unpreparated, and still to seek." Milton. [Obs] -- To seek after, to make pursuit of; to attempt to find or take. -- To seek for, to endeavor to find. -- To seek to, to apply to; to resort to; to court. [Obs.] "All the earth sought to Solomon, to hear his wisdom." 1. Kings x. 24. -- To seek upon, to make strict inquiry after; to follow up; to persecute. [Obs.] To seek Upon a man and do his soul unrest. Chaucer.
Shades of meaning
Fernald lists seek only as an antonym, under abandon.
He lists it without comment; the entries above explain its neighbors.