Pictured Puzzles and Word Play / A Companion to the Twentieth Century Standard Puzzle Book - A. Cyril Pearson

My first is quite a sin by name,
My third its simple cure;
My second puts an end to fame,
My whole of ease is sure.

is solved by Sinecure.

The paradox—

Cut off my head, it is unshaken,
Cut off my tail, you turn it round,
But if both head and tail are taken,
Unconquered still I hold my ground.

is solved by TIT.

The charade—