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When Butas had gone out, he drew the sword and thrust it beneath his chest, but as he used his hand with less effect owing to the inflammation, he did not immediately despatch himself, and having some difficulty in dying he fell from the bed and made a noise by overturning a little abacus of the geometrical kind that stood by, which his attendants perceiving called out and his son and his friends immediately ran in.
Then this weight may be represented by any number of equal divisions, suppose four, as l, m, n, r, of brickwork above, of which each division is one fourth of the whole weight; and let this weight be placed in the most trying way on the abacus, that is to say, let the masses l and r be detached from m and n, and bear with their full weight on the outside of the capital.
The varieties of their grouping we shall enumerate hereafter: one general characteristic of them all must be noted here. V., p. 65. And hitherto, respecting the capital, we have been exclusively concerned with the methods in which these two families of simple contours have gathered themselves together, and obtained reconciliation to the abacus above, and the shaft below.
A more detailed analysis of the capitals already shown to be twofold reveals a third member: in the Greek Doric this consists of the annulets immediately below the abacus; in the other orders, the necking which divides the shaft from the cap.
"It's an abacus," Chia Cheng observed. "Quite so!" replied Ying Ch'un smiling; after which they also conned the one below, by T'an-ch'un, which ran thus and had something to do with an object: This is the time when 'neath the stairs the pages their heads raise! The term of "pure brightness" is the meetest time this thing to make! The vagrant silk it snaps, and slack, without tension it strays!
Now in B the length e f was only twice b c; but in C, e2 f2 will be found more than twice that of b2 c2. Therefore, the more slender the shaft, the greater may be the proportional excess of the abacus over its diameter. The smaller the scale of the building, the greater may be the excess of the abacus over the diameter of the shaft.
Thus the fourth column from the west is his, and perhaps the fifth up to the abacus, which is convex and of limestone. The respond against the east wall is of his pattern, but it has not the circular plinth, and the capital is of limestone, has the abacus moulded with rounds upon the edge, and is covered with delicate foliage in the Decorated manner.
The squares on the upper side of the table stood for the sum for which the sheriff was responsible, and when this was determined the proper counters were placed on their squares to set out the sum in visible form, as on an abacus.
Then, the height of the capital is to be divided into nine and a half parts, and down along the abacus on the four sides of the volutes, down along the fillet at the edge of the abacus, lines called "catheti" are to be let fall. Then, of the nine and a half parts let one and a half be reserved for the height of the abacus, and let the other eight be used for the volutes.
When the child has learnt to count up to a hundred with cubes, it should be given an abacus, and it should also be encouraged to count and check quantities with all sorts of things, marbles, apples, bricks in a wall, pebbles, spots on dominoes, and so on; taught to play guessing games with marbles in a hand, and the like.
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