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How easy for him to enter a shop with his polygonal front foremost, and to order goods to any extent from a confiding tradesman!

As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles.

A nave and aisles of five bays, three polygonal apses to the east and later square chapels beyond the aisles, make up the whole building. The roofs are all of panelled wood of the sixteenth century except in the three vaulted apses, of which the central is entered by an arch, which, rising no higher than the aisle arches, leaves room for a large window under the roof.

It is always furnished with a base like that of the polygonal pillar, sometimes square with the ground, and sometimes slightly rounded. This base is either plain, or ornamented only with a line of hieroglyphs. The principal forms fall into three types: the column with campaniform, or lotus-flower capital; the column with lotus-bud capital; the column with Hathor-head capital.

The average distance between the coils, even in the structures of the young Epeirae, is one centimetre. Let us not be misled by the word 'spiral, which conveys the notion of a curved line. All curves are banished from the Spiders' work; nothing is used but the straight line and its combinations. All that is aimed at is a polygonal line drawn in a curve as geometry understands it.

They have polygonal plinths, and their capitals are adorned with rather ill-cut foliage. In the north-east corner there is a single shaft having a fillet, and adjoining it is a round-headed doorway, which once opened into the angle staircase. In this aisle the panelling is carried two bays westwards.

Taking everything into consideration the clay vaults of Khorsabad are no more surprising than these domes of modern Mossoul. We cannot say for certain that the Assyrian builders made use of domes in addition to the barrel vaults, but all the probabilities are in favour of such an hypothesis. A dome is a peculiar kind of vault used for the covering of square, circular, or polygonal spaces.

In the two easternmost bays the Decorated string-course is of a different pattern and at a slightly higher level; and here the jambs of the windows are moulded with a hollow continued from the arch; while the rim of the latter has upon it a large filleted round flanked by hollows and supported on shafts with polygonal plinths and circular bases and capitals, the latter enriched with foliage.

The church consists of a nave of four bays, measuring some 105 feet by 39, with flanking chapels, the whole lined with eighteenth-century tiles, mostly blue and white. There are also a great choir gallery at the west end, a chancel, polygonal

The resemblance in the case of the two former and simpler styles may perhaps be traceable to the similarity of the materials employed and of the object in view in building; but it can hardly be deemed accidental that the artistic polygonal wall-masonry, and the gate with the path leading up to it universally bending to the left and so exposing the unshielded right side of the assailant to the defenders, belong to the Italian fortresses as well as to the Greek.