Propositiones ad Acuendos Juvenes/Problems/29 - De Civitate Rotunda/Historical Note

Historical Note on Propositiones ad Acuendos Juvenes by Alcuin of York: Problem $29$: De Civitate Rotunda

The actual area of the town is approximately $8488$ house areas.

Using $\AA = \dfrac {C^2} {16}$ as in $25$: De Campo Rotundo, the area is approximately $6667$ house areas.

Alcuin assumes the circle contains a $1600 \times 2400$ rectangle, but such a circle could hold over $10 \, 000$ house areas.

David Singmaster reports that he managed to fit $8307$ in, but suspects it may be possible to do better.

Sources

• 1992: John Hadley/2 and David Singmaster: Problems to Sharpen the Young (Math. Gazette Vol. 76, no. 475: pp. 102 – 126)  www.jstor.org/stable/3620384