insist

1. (with (that + indicative) or intransitive, with on or upon) To hold up a claim emphatically.Examples: "The defendant insisted on his innocence."; "I insist that my secretary dresses nicely."; "But Miss Thorn relieved the situation by laughing aloud,[…]. We began to tell her about Mohair and the cotillon, and of our point of observation from the Florentine galleried porch, and she insisted she would join us there."

2. (sometimes with (that + subjunctive) or intransitive, with on or upon) To demand continually that something happen or be done; to reiterate a demand despite requests to abandon it.Examples: "The Prime Minister insisted on his Chancellor's resignation."; "The Prime Minister insisted that his Chancellor resign."; "I insist that my secretary dress nicely."sometimes

3. (obsolete, chiefly geometry) To stand (on); to rest (upon); to lean (upon).Examples: "Angles likewise which insist on the Diameter, are all Right Angles."obsolete