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Updated: May 16, 2025
They rose up in geometrically shaped masses; and when all the inner lights had been extinguished and the square uniform buildings were steeped in the rising dawn, they seemed typical of some gigantic modern machine, some engine, some caldron for the supply of a whole people, some colossal belly, bolted and riveted, built up of wood and glass and iron, and endowed with all the elegance and power of some mechanical motive appliance working there with flaring furnaces, and wild, bewildering revolutions of wheels.
Oblongae scutulae. Geometrically a trapezium. Et est ea facies. And such is the form, exclusive of Caledonia, whence the account has been extended also to the whole Island. Sed tenuatur. The author likens Caledonia to a wedge with its apex at the Friths of Clyde and Forth, and its base widening out on either side into the ocean beyond. Enormis is a post-Augustan word. Novissimi==extreme, remotest.
Whether Malthus assumed too easily that this represented the normal case may be questionable. At any rate, it was not only possible but actual in the England of the time. His problem was very much to the purpose. His aim was to trace the way in which the population of a limited region is prevented from increasing geometrically.
At the farther end of it, a thick hedge of holly bordered on the roses at right angles to the end of the battlements; while the lawn on his left was spangled with geometrically shaped beds showing elaborate arrangements of heliotrope, ageratum, calceolarias, and other bedding-out plants.
Even Herschel admitted that sunlight, by the same effect through which the heavenly bodies show visibly above our horizons while still geometrically below them, appeared to be bent round the shoulder of the globe of Venus. Ample confirmation of the fact has since been afforded.
The comparison was made with a view not only to arrive at a decision in this particular case, but also of answering the question of the economy of the arch more generally. The following table contains the weights of geometrically similar structures of three different spans, of which the second is the one here described.
In the prickly pear, the bundles of prickles are arranged geometrically with great regularity in a perfect quincunx. But that is a small consolation indeed to the reflective mind when you've stung yourself badly with them. The reason for this bellicose disposition on the part of the cactuses is a tolerably easy one to guess. Fodder is rare in the desert.
The other portal on the south is far simpler, and the arch which surmounts it is of a purer Gothic style; not so the geometrically decorated panels and the almost Arabian frieze which runs above the arches. This frieze is Moorish or Mudejar-Byzantine, and though really it does not belong in an ogival building, it harmonizes strangely with it.
For that equality which many affect, being often the greatest injustice, God, as much as possible, takes away; and useth that proportion which respects every man's deserts, geometrically defining it according to law and reason. This exposition we applauded; and Tyndares, saying he envied him, desired Autobulus to engage Florus and confute his discourse.
So the Koresh people professed to have determined the figure of the earth's surface by the purely geometric method of taking long, broad planks, perfectly squared at the two ends, and using them as a geodicist uses his base apparatus. They were mounted on wooden supports and placed end to end, so as to join perfectly. Then, geometrically, the two would be in a straight line.
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