Propositiones ad Acuendos Juvenes/Problems/15 - De Homine

by : Problem $15$

 * De Homine: A Man Ploughing
 * How many furrows has a man made,
 * when he has made $3$ turnings at each end of the field?

Solution

 * $7$.

Proof
Let the ends of the field be $A$ and $B$.


 * He starts at $A$ and ploughs the first furrow.
 * He turns at $B$ and ploughs the second furrow.
 * He turns at $A$ and ploughs the third furrow.
 * He turns at $B$ and ploughs the fourth furrow.
 * He turns at $A$ and ploughs the fifth furrow.
 * He turns at $B$ and ploughs the sixth furrow.
 * He turns at $A$ and ploughs the seventh furrow.