False position method of (written in modern notation) the equation . This is solved by false position, using a technique that predates formally written equations. First, guess that to obtain, on the left, . This guess is a good choice since it produces an integer value. However, 4 is not the solution of the original equation, as it gives a value which is three times too small. To compensate, multiply (currently set to 4) by 3 and substitute again to get , verifying that the solution is . Modern versions of the technique employ systematic ways of choosing new test values and are
Captain of the guard Captain of the guard The Captain of the Guard is a position for a military force. It is also a position for jail and prison terms. A Captain of the Guard is the commanding position of a military security force. The position of Captain of the Guard is not or no longer associated with the rank of Captain. The Guard is commonly associated with bodyguard duty for royalty or head of state, but the Guard can refer to the military security force of a city or region such as a province, state, or territory. A captain of the guard is