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Updated: June 20, 2025
Let ABH be a parallelepiped of crystal, and let the top surface AEHF be a perfect rhombus, the obtuse angles of which are equally divided by the straight line EF, and the acute angles by the straight line AH perpendicular to FE. The section which we have hitherto considered is that which passes through the lines EF, EB, and which at the same time cuts the plane AEHF at right angles.
Young Carmody awoke to the realization of another day. The sun of mid-forenoon cast a golden rhombus on the thick carpet, and through the open windows the autumnal air, stirred by just the suspicion of a breeze, was wafted deliciously cool against his burning cheeks and throbbing temples. He gazed about the familiar confines of the room in puffy-eyed stupidity.
Is this not absurd, when the same child can come home from school and talk glibly of a parallelepipedon, a rhombus, rhomboid, polyhedral angle, archipelago, law of primogeniture, the binomial theorem, and of a dicotyledon! He also learns French, German, Latin, Greek, and the argot of the public school! The theological leader of to-day cannot be a creed-monger: he must be a creed-maker.
At this point he descends again to the lower staff, ti, lah, soh, fah, mi, re, doh, then he ascends again on the other side: re, mi, fah, soh, lah, ti, and by forming with his two lines of discs another angle in the bass, he has completed a rhombus, "the rhombus of the notes." After the discs have been arranged in this way, the upper staff is separated from the lower.
To show the excellence of this figure, he enumerates all its properties; and finds it in almost every thing of use or pleasure: and to show how readily he supplies what he cannot find, one instance may be sufficient: "though therein," says he, "we meet not with right angles, yet every rhombus containing four angles equal unto two right, it virtually contains two right in every one."
But as that old foster-father in the comedy, being now to take his leave doth with a great deal of ceremony, require his foster-child's rhombus, or rattle-top, remembering nevertheless that it is but a rhombus; so here also do thou likewise. For indeed what is all this pleading and public bawling for at the courts?
And next to this was the rod-work engraven; and next to that was a rhombus in a texture of net-work, drawn out to the brim of the basin, while small shields, made of stones, beautiful in their kind, and of four fingers' depth, filled up the middle parts. About the top of the basin were wreathed the leaves of lilies, and of the convolvulus, and the tendrils of vines in a circular manner.
I am of opinion that the class of cases named in the act as arising from "new shape or configuration" includes within it all those mere changes of form which involve increase of utility. This I take to be the spirit of the decision in Wooster vs. Crane, 2 Fisher 583. The design was of a reel in the shape of a rhombus.
Polutikin's appreciation of its merits, had certainly never amused anyone; he admired the works of Akim Nahimov and the novel Pinna; he stammered; he called his dog Astronomer; instead of 'however' said 'howsomever'; and had established in his household a French system of cookery, the secret of which consisted, according to his cook's interpretation, in a complete transformation of the natural taste of each dish; in this artiste's hands meat assumed the flavour of fish, fish of mushrooms, macaroni of gunpowder; to make up for this, not a single carrot went into the soup without taking the shape of a rhombus or a trapeze.
It perhaps need scarcely be added, unless to meet the argument drawn from Diodorus, that the four sites in question are not so placed as to form the "oblong square" of his description, but mark the angles of a rhombus very munch slanted from the perpendicular. The argument derived from the book of Jonah deserves more attention than that which rests upon the authority of Diodorus and Ctesias.
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