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At this time the whole region appears to be of a warm light brown or sepia tone. BERNOUILLI. A very deep ring-plain on the W. side of Geminus. Under evening illumination its lofty W. wall, which rises to a height of nearly 13,000 feet above the floor, is conspicuously brilliant. This formation exhibits a marked departure from the circular type, being bounded by rectilineal sides.
BERZELIUS. A considerable ring-plain of regular form, with low walls and dark interior, on which there is a central peak, difficult to detect. FRANKLIN. A ring-plain, 33 miles in diameter, which displays a considerable departure from the circular type, as the border is in great part made up of rectilineal sections.
To test a proposition by experience seems to him to mean that “before accepting as certain the proposition that any rectilineal figure must have as many angles as it has sides,” I have “to think of every triangle, square, pentagon, hexagon, etc., which I have ever seen, and to verify the asserted relation in each case.” I can only say, with surprise, that I do not understand this to be the meaning of an appeal to experience.
It is the simplest of all curves, and the standard or measure of curvature, vastly more simple in its laws than any rectilineal figure, and therefore more beautiful than any simple figure of that kind. There is, however, a sort of monotony in its beauty, it has no variety of parts.
He then dwelt upon the merits of fire-arrows and fire-pikes in the attack or defence of places of strength, and had finally begun to descant upon sconces, 'directis lateribus, and upon works, semilunar, rectilineal, horizontal, or orbicular, with so many references to his Imperial Majesty's lines at Gran, that it seemed that his discourse would never find an end.
The outline of Cassini is clearly polygonal, being made up of several rectilineal sections. The interior, nearly at the same level as the outside country, includes a large bright ring-plain, A, 9 miles in diameter and 2600 feet in depth, which has a good-sized crater on the S. edge of a great bank which extends from the S.W. side of this ring-plain to the wall.
Formed of nine departments, it has for its capital Pekin, otherwise known as Chim-Kin-Fo, an appellation which means a "town of the first order, obedient to Heaven." I do not know if this town is really obedient to Heaven, but it is obedient to the laws of rectilineal geometry. There are four towns, square or rectangular, one within the other.
Whether this be or be not implied in any given case, cannot be collected from the mere form of the expression. ‘A centaur is an animal with the upper parts of a man and the lower parts of a horse,’ and ‘A triangle is a rectilineal figure with three sides,’ are, in form, expressions precisely similar; although in the former it is not implied that any thing, conformable to the term, really exists, while in the latter it is; as may be seen by substituting, in both definitions, the word means for is.
Yet the law of the parabolic motion would be resolvable into the very same simple laws into which that of the elliptical motion is resolved, namely, the law of the permanence of rectilineal motion, and the law of gravitation.
And yet after a while Aberdeen becomes a weariness and an abomination. For you discover that it is one endless series of geometrical diagrams. The pavements run in parallel lines, the houses are rectilineal, the gardens are squares or oblongs; if by chance the land sprawls in billocks and hollows, nevertheless is it partitioned in rigid lines. The architecture is equally austere.
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