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Hence it appears that the exterior angle varies much; nevertheless in the close similarity in form between the sections of Keeling atoll and of the atolls in the Low Archipelago, in the general steepness of the reefs of the Maldiva and Chagos atolls, and in the perpendicularity of those rising out of water always tranquil, we may discern the effects of uniform laws; but from the complex action of the surf and currents, on the growing powers of the coral and on the deposition of sediment, we can by no means follow out all the results.
The axiom asserts that the rect joining the two event-particles of intersection of the diagonals is parallel to the rect on which the bases lie. By the aid of this axiom it easily follows that the diagonals of a parallelogram bisect each other. Congruence is extended in any space beyond parallel rects to all rects by two axioms depending on perpendicularity.
You penetrate to its innermost perpendicularity through a passage that enclosed a "quick-lunch" counter, and climb from a most noble banquet- hall crammed with hundreds of mercantile gentlemen "feeding like one" at innumerable little tables, to a gallery where the musicians must have sat of old.
Fancy then this figure, seated with laborious and unswerving perpendicularity on a demi-pique saddle, ornamented with a huge pair of well-stuffed saddle-bags, and holsters revealing the stocks of a brace of immense pistols, the horse with its obstinate mouth thrust out, and the bridle drawn as tight as a bowstring! its ears laid sullenly down, as if, like the Corporal, it complained of going to Yorkshire, and its long thick tail, not set up in a comely and well-educated arch, but hanging sheepishly down, as if resolved that its buttocks should at least be better covered than its master's!
His square-framed perpendicularity showed more fully now than in the crowd and bustle of the market-house. In this meditative walk his foot met the floor with heel and toe simultaneously, and his fine reddish-fleshed face was bent downwards just enough to render obscure the still mouth and the well-rounded though rather prominent and broad chin.
Then she threw us each a pillow, indicating that we, too, should lie down and take it easy, but we preferred our perpendicularity, and sat upright on the edge of her couch, this being the only article of furniture in the room.
"Shall we go and have a merry laugh with Matthews to-night?" said Hartley, as they sat at the tea-table. "I feel just in the humor." "No, I thank you," replied Irene, curtly. "I don't incline to the laughing mood, just now." "Laughing is contagious," suggested Hartley. "I shall not take the infection to-night." And she balanced her little head with the perpendicularity of a plumb-line.
It may be remarked that this last adjustment is the proper work of the optician, since it is so difficult that the user of the telescope cannot ordinarily effect it. But the perpendicularity of the whole objective to the tube of the telescope is liable to be deranged in use, and every one who uses such an instrument should be able to rectify an error of this kind.
Here it is necessary, that we should be habituated to both these modes of motion in order to preserve our perpendicularity. Thus on horseback we accurately observe another person, whom we meet, trotting towards us, without confounding his jumping and progressive motion with our own, because we have been accustomed to them both; that is, to undergo the one, and to see the other at the same time.
"took down and rebuilt the upper part of the spire of the cathedral, and fixed therein a pendulum stage to counteract the effects of the south and the south-westerly gales of wind, which act with some considerable power against it, and had forced it from its perpendicularity." It is interesting to have this record, for the spire during the following century was still a cause of trouble.
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