Propositiones ad Acuendos Juvenes/Problems/22 - De Campo Fastigioso/Historical Note

== Historical Note on by : Problem $22$: De Campo Fastigioso == 's solution to this is suspect in a number of places.


 * $(1): \quad$ Fractions are rounded inconsistently:
 * At one point $\dfrac {160} 3 = 53 \tfrac 1 3$ is rounded to $53$.
 * At another point $\dfrac {5200} {12} = 441 \tfrac 2 3$ is truncated to $441$.
 * At yet another point $\dfrac {441} {12} = 36 \tfrac 3 4$ is rounded up to $37$.
 * However, the actual value of $\dfrac {16 \, 000} {3 \times 12 \times 12} = 37.037 \ldots$ is actually remarkably accurate.


 * $(2): \quad$ The method of averaging the $50$s and $60$s to get $\dfrac {160} 3$ is dubious.
 * If the field is a double trapezoid, then the mean width is $55$.


 * $(3): \quad$ The length given is measured along the side, which may not be the true length.