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Updated: May 27, 2025
But if to compare involve the sense of its etymon, and involve the sense of parity, I utterly deny that I do at all compare them; and, in truth, in no conceivable sense of the word is it applicable, any more than a geometrician can be affirmed to compare a polygon to a point, because he generates the line out of the point.
The acropolis of Carcassonne is crowned with Gothic battlements, the golden polygon of whose walls, rising from Roman foundations and layers of ruddy Visigoth brick to the stately marvel of its fifty towers, forms a whole that few can view unmoved.
The croisée and the Chapel of the Condestable are the two chief attractions of the cathedral church. The last named chapel is an octagonal addition to the apse. Its walls from the exterior are seen to be richly sculptured and surmounted by a lantern, or windowed dome, surrounded by high pinnacles and spires placed on the angles of the polygon base.
If it were so, the number of sides in the Circle would be a mere question of pedigree and arithmetic, and the four hundred and ninety-seventh descendant of an Equilateral Triangle would necessarily be a polygon with five hundred sides. But this is not the case.
Oval, stiffened with whalebone, it began with three round knobs; then came in succession lozenges of velvet and rabbit-skin separated by a red band; after that a sort of bag that ended in a cardboard polygon covered with complicated braiding, from which hung, at the end of a long, thin cord, small twisted gold threads in the manner of a tassel. The cap was new; its peak shone.
A. Polygons; those that have their sides and angles equal we would call regular polygons. Q. What would you call those angles whose sides were not equal? A. Irregular polygons, and the smallest number of sides a polygon can have is three, and the number of corners are always equal to the number of sides. Ellipse or Oval. Q. What is this? A. An ellipse or an oval.
Amongst our lowest orders, the vocal organs are developed to a degree more than correspondent with those of hearing, so that an Isosceles can easily feign the voice of a Polygon, and, with some training, that of a Circle himself. A second method is therefore more commonly resorted to.
The actual Austrian Pensioner of merit is a loud-voiced, hard-faced, very limited, but honest little fellow; who has worked a little polygon ditch and miniature hedge round the two Monuments; keeps his own cottage, little garden, and self, respectably clean; and leads stoically a lone life, no company, I should think, but the Sterbohol hinds, who probably are Czechs and cannot speak to him.
"Instead of making use of the square or rectangle, as has been done to this time, you will suppose your place inclosed in a regular hexagon, this polygon having the advantage of offering more angles than the quadrilateral one.
Influenced by that opinion, it was my practice to repair to the apartment I have mentioned as soon as I rose, and frequently not to make my appearance in the Polygon, till the hour of dinner.
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