Propositiones ad Acuendos Juvenes/Problems/24 - De Campo Triangulo/Historical Note

== Historical Note on by : Problem $24$: De Campo Triangulo == When the answer is given in perches, it is clear that square perches is really meant.

Note that the acre as given is defined as $144$ square perches rather than the modern definition as $160$ of them.

As points out, the answer is in fact numerically incorrect: $22 \frac 1 2$ acre is in fact $126$ square perches.

However, using Heron's Formula:
 * $\AA = \sqrt {s \paren {s - a} \paren {s - b} \paren {s - c} }$

where:

we obtain:

At $144$ square perches to the acre, this equals $1$ acre and $113.56$ square perches.