Octagon

Definition and stakes

Portrait of Ruth Plumly Thompson Ruth Plumly Thompson Captain Salt in Oz

This is extremely fortunate, for the Octagon Isle is semi-tropical in climate, and on warm sultry days, Roger not only reads to his Majesty, but fans him as well. All in all, Ato's life is decidedly luxurious and lazy.
Sixentwo, Chief Chancellor of the realm, and Four'nfour, its treasurer, attend to all the business of governing, so that Ato and Roger have little to do but enjoy themselves. The Octagon Islanders, one hundred and eighty in number, are a sober and industrious lot, rarely giving any trouble.
Source: Gutenberg

Portrait of Louis-Benjamin Francœur Louis-Benjamin Francœur An introduction to linear drawing (1828)

When is a polygon said to be inscribed in a circle ? 15.
When a tangent is drawn from a given point, how many points of a circle can it touch ?
16.
What is the proportion between the radius of a Circle and one side of a hexagon inscribed in it ?
17.
What is meant by unequal circles ? (p. 20.)
18.
What is meant by a regular Polygon ? (p. 21.)
19.
What is a regular hexagon ?
20.
What is a regular pentagon ?
21.
What is a regular octagon?
22.
How will you circumscribe a triangle with a circle ?
23.
How will you find the Centre of a circle to be in- scribed in a triangle ?
Source: Wikisource

Portrait of Wace Wace Arthurian Chronicles: Roman de Brut

Octa did as he devised, and as his kinsfolk approved. He came forth from the gate of the city with a company of all his barons. Octa wore a chain of iron upon his wrists, and walking at the head of his companions, came first to the king. "Sire," said he, "I beseech you for mercy and pity. The gods in whom we put our trust have failed us at need. Your gods are mightier than they. They have wrought wonders, and set strength upon you, since we are stricken to the dust. I am vanquished, and own myself thy servant.
Source: Gutenberg

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