false position in a sentence

Examples

1. He wishes to " retire . . . from a false existence, a false position, and begin [ his ] life over again, begin it right-- begin it on the level of mere manhood, unassisted by factitious aids, and succeed or fail by pure merit or the want of it.
2. Leonardo of Pisa ( Fibonacci ) devoted Chapter 13 of his book " Liber Abaci " ( AD 1202 ) to explaining and demonstrating the uses of double false position, terming the method " regulis elchatayn " after the " al-kham
   
   ?ayn " method that he had learned from Arab sources.
3. Nevertheless, Hanna wrote in a letter that " I do not consider that Governor McKinley was placed in any false position by what was done . . . Governor McKinley's position today as a result of all that transpired at Minneapolis is in the best possible shape for his future.