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In contrast with the dreary plain over which he has been so long toiling, to Hamersley the valley appears a paradise worthy home of the Peri who is conducting him down to it. It resembles a landscape painted upon the concave sides of an immense oval-shaped dish, with the cloudless sky, like a vast cover of blue glass, arching over it.

Each grinding tooth of the upper jaw has an outer wall so shaped that, on the worn crown, it exhibits the form of two crescents, one in front and one behind, with their concave sides turned outwards. From the inner side of the front crescent, a crescentic front ridge passes inwards and backwards, and its inner face enlarges into a strong longitudinal fold or pillar.

Of the four types thus constituted, e and f are of great importance; the other two are rarely used, having an appearance of weakness in consequence of the shortest curve being concave: the profiles e and f, when used for cornices, have usually a fuller sweep and somewhat greater equality between the branches of the curve; but those here given are better representatives of the structure applicable to capitals and cornices indifferently.

Handing it to Adolph, he said, "How much would it cost to make a dozen like that?" Adolph took the piece of machinery in his hand and examined it. It was slightly concave in shape, and among the wheels was a strong spring. Adolph wound up this spring, but so loosely was the machinery put together that when he let go the key, the spring quickly uncoiled itself with a whirring noise of the wheels.

The two triangles, or extensions of the hexagon faces which fill one of the convergent angles of the cavity enclosed by the three rhombs, form by their junction a plane angle on the side they touch; each of these angles, concave within the cell, supports, on its convex side, one of the sheets employed to form the hexagon of another cell; the sheet, pressing on this angle, resists the force which is tending to push it outwards; and in this fashion the angles are strengthened.

Owing to the want of wood, no coffins are used. The bodies are merely wrapped in a mat, or linen cloth, and covered with palm branches, over which the earth is thrown. When the branches decay, the earth falls in, and the graves are easily known by being concave, instead of convex.

It should be observed that neither Polybius nor Plutarch mentions the use of burning-glasses in connection with the siege of Syracuse, nor indeed are these referred to by any other ancient writer of authority. Nevertheless, a story gained credence down to a late day to the effect that Archimedes had set fire to the fleet of the enemy with the aid of concave mirrors.

A proverb synonymous to ours, of "What is bred in the bone, will never come out of the flesh." The tawa is a circular plate of malleable or cast iron, used for baking cakes or bannocks. It is slightly convex, like a watch-glass, on the upper side, where the bread is laid on; the under or concave side being, of course perfectly black.

The handle, carved out of the same solid block of wood as the body of the shield, is in the middle of the concave surface; it is a simple vertical bar for the grasp of the left hand. The Kayan shield is commonly stained red with iron oxide, and touched up with black pigment, but not otherwise decorated.

Blue and red clay had washed down upon them in streaks and patches; where certain faults in the rock occurred, and bars of iron-yielding stone were seen, the rust had washed down also, so that upon flat facets and concave and convex surfaces a great variety of colour and tint, and light and shade, was produced.