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And yet, in the vagueness of his mind, he had never imaginatively realised that a house was made with hands, and hands that could err. With its exact perpendiculars and horizontals, its geometric regularities, and its Chinese preciseness of fitting, a house had always seemed to him again in the vagueness of his mind as something superhuman.

Light and shadow are fantastically banded, striped, and patchworked among her cavern streets; a cool, deep gloom is cut across with fierce jags and blinks of brightness. She smiles upon man who takes his ease in her colossal companionship. Her clean soaring perpendiculars call the eye upward. One wanders as a botanist in a tropical forest.

When it is incident along m E, there is refraction: it is bent at E and strikes the circle at n. When it is incident along m' E there is also refraction at E, the beam striking the point n'. From the ends of the two incident beams, let the perpendiculars m o, m' o' be drawn upon B D, and from the ends of the refracted beams let the perpendiculars p n, p' n' be also drawn.

They were not numerous, but sufficiently so to hold the balance whenever the Horizontals and the Perpendiculars crossed each other directly at right angles, as was the case at present; and they had now determined to run a single candidate of their own. They, too, wished to fortify themselves by the foreign interest, as was natural, and had come out in quest of a proper person.

By the same rule, in due time in the periodicity, Mr Rampson would revel in Latin puzzles; and Mr Morris would request the young gentlemen to build up curious constructions with perpendiculars, "slanting-diculars," and other varieties of the diagonal, in company with polygons and other forms of bodies with their many angles and curves, as set forth originally by a certain antique brain-puzzler of the name of Euclid, for the first part of the examination, the second portion consisting of that peculiar form of sport in which, instead of ordinary figures, the various letters of the alphabet were shuffled up and used for calculations, plused, minused, squared, and cubed up to any number of degrees, under the name of equations.

We are now in possession of a theory of parallels and a theory of perpendiculars and a theory of motion, and from these theories the theory of congruence can be constructed. It will be remembered that a family of parallel levels in any moment is the family of levels in which that moment is intersected by the family of moments of some other time-system.

Half of 26 is 13, and if you take the half way line and draw approximate perpendiculars to about where the table was standing and to as near as one can remember where the middle of the corp roughly was lying, you get exactly six feet ten and five-eighths inches, in both cases." "An approximate perpendicular to roughly about these places gives this exact measurement?" repeated Cromarty gravely.

The base or span of the centre arch will always be a b; its vertex will always be V; the points of the cusps will be c c; p p will be the bases of perpendiculars let fall from V and c on a b; and d the base of a perpendicular from the point of the cusp to the arch line.

That triangle contains one of the perpendiculars of three, the base of four, and the hypotenuse of five parts, the square of which is equal to the squares of those sides containing the right angle.

It is supposed to be owing to this peculiarity in their party organizations, that your Leaplow patriot is so very remarkable for going round and round a subject, without ever touching it. As an offset to this party arrangement, the Perpendiculars have taken refuge in the God-likes.