Institutio Oratoria

Quintilian

Quintilian. Institutio Oratoria, Volume 1-4. Butler, Harold Edgeworth, translator. Cambridge, Mass; London: Harvard University Press, William Heinemann Ltd., 1920-1922.

and historians have been taken to task by geometricians for believing the time taken to circumnavigate an island to be a sufficient indication of its size. For the space enclosed is in proportion to the perfection of the figure.

Consequently if the bounding line to which we have referred form a circle, the most perfect of all plane figures, it will contain a greater space than if the same length of line took the form of a square, while a square contains a greater space than a triangle having the same total perimeter, and an equilateral triangle than a scalene triangle.

But there are other points which perhaps present greater

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difficulty. I will take an example which is easy even for those who have no knowledge of geometry. There is scarcely anyone who does not know that the Roman acre is 240 feet long and 120 feet broad, and its total perimeter and the area enclosed can easily be calculated.