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conceive how great must be the errors in the chronology of a country, where the inhabitants are entirely ignorant even of the first principles of astronomy, and where they depended on the adventitious aid of foreigners, to enable them to carry into execution one of the most important concerns of the government.

Every thing of their own invention and discovery carries with it such strong marks of originality, as cannot easily be mistaken. The language declares itself to be most unquestionably the production of the country; so does the mariner's compass; and they have a cycle, or period, to assist their chronology, of which I think none will dispute with them the invention. In their records it is carried back to the time of the Emperor Whang-tee, the third from Fo-shee. This cycle, consisting of sixty years, has no reference to the periods of the motions or coincidences of the sun and moon, as one of the same period among the Hindus, but is used merely as our century, to distinguish time into eras or ages. Instead of denominating any given year the first, second, or third year of such a cycle, they have assumed two sets of characters, one set consisting of ten, and the other of twelve; the first are called the ten roots, and the second the twelve branches. The combination of a root and a branch gives a name for the year; and the different permutations, of which they are capable, supply them with sixty distinct titles, making the complete cycle of sixty years. The nature of this period may be rendered familiar to such as are not conversant with the combination of numbers, by assuming the numerals from 1 to 10 for the ten roots, and the letters of the alphabet from a to m, for the twelve branches, and by placing them in a circle, in the following manner, where the cycle begins with the letter a.

 
 

Supposing these letters and figures to be Chinese characters, the first year of any cycle would be called 1a, the second 2b, the third 3c, and so on to 10k, the tenth year; the eleventh would be 1l, the twelfth 2m, the thirteenth 3a, and the sixtieth 10m, when the whole revolution would be completed. This cycle, though always used in the records of their history, never appears in the date of public acts. These only specify the time of the reign under which they are given, as the 1st. 2d. or 3d. day of the 1st. 2d. or 3d. moon, of the 1st. 2d. or 3d. year of the reign of such or such an Emperor.

Little progress as they appear to have made in the science of astronomy, their knowledge of geography, which supposes indeed an acquaintance with the former, is equally limited. Their own empire was considered to occupy the middle space of the square surface of the earth, the rest of which was made up of islands. When the Jesuits first entered China, they found the charts, even of their own country, rude and incorrect sketches, without any scale or proportion, wherein a ridge of mountains covered a whole province, and a river swept away half of another. At present they have neat and accurate maps of the country, copied after the original survey of the whole empire, undertaken and completed by the Jesuits, after several years of indefatigable labour.

Although the Chinese language be unfavourable for numerical combinations it is admirably adapted for the concise operations of algebra, and the terse demonstrations of geometry, to neither of which, however, has it ever been made subservient, both the one and the other being totally unknown in the country. Their arithmetic is mechanical. To find the aggregate of numbers, a machine is in universal use, from the man of letters, to the meanest shopman behind his counter. By this machine, which is called a Swan-pan, arithmetical operations are rendered palpable. It consists of a frame of wood, divided into two compartments by a bar running down the middle: through this bar, at right angles, are inserted a number of parallel wires, and on each wire, in one compartment, are five moveable balls, and in the other two. These wires may be considered as the ascending and descending powers of a numeration table, proceeding in a tenfold proportion; so that if a ball upon any of the wires, in the larger compartment, be placed against the middle bar, and called unity or one, a ball on the wire next above it will represent ten, and one on the next one hundred; so, also, a ball on the wire next below that expressing unity will be one-tenth, the next lower one hundredth, and the third one thousandth, part of an unit; and the balls on the corresponding wires in the smaller compartment will be five, fifty, five hundred, five-tenths, five hundredths, five thousandths; the value or power of each of these, in the smaller division, being always five times as much as of those in the larger. In the following figure, suppose X be assumed as the line of units, the lines to the right will be integers decimally increasing, and those to the left fractional parts decimally decreasing; and the Swan-pan in the present position of the balls, will represent the number 573916 0705/10000.

 

This is clearly a system of decimal arithmetic, which, for the ease, simplicity, and convenience of its operations, it were to be wished was generally adopted in Europe, instead of the endless ways in which the integer is differently divided in different countries, and in the different provinces of the same country. The Swan-pan would be no bad instrument for teaching to a blind person the operations of arithmetic. Yet, paradoxical as it may seem, these operations, as performed by the Chinese, like their written characters, require more the exercise of the eye than of the mind. The simple addition or subtraction of the little balls to, or from, the middle bar, shews at once by their disposition on the board the result of any required combination. The invention of it I think may fairly be attributed to the Chinese; though it has been compared, how justly I cannot pretend to say, to the Roman abacus.

It has been observed, and perhaps with a great deal of truth, that the arts which supply the luxuries, the conveniences, and the necessaries of life, have derived but little advantage in the first instance from the labours and speculations of philosophers; that the ingenuity of artists, the accidental or progressive discoveries of common workmen, in any particular branch of business, have frequently afforded data, from which, by the reasonings and investigations of philosophers, hints have sometimes been struck out for arriving at the same ends by a shorter way; that the learned are therefore more properly to be considered as improvers than inventors. Of this mortifying truth, the Chinese afford many strong examples in their arts and manufactures, and particularly in some of those operations that have a reference to chemistry, which cannot here be said to exist as a science, although several branches are in common practice as chemical arts. Without possessing any theory concerning the affinities of bodies, or attractions of cohesion or aggregation, they clarify the muddy waters of their rivers, for immediate use, by stirring them round with a piece of alum in a hollow bamboo; a simple operation which, experience has taught them, will cause the clayey particles to fall to the bottom: and having ascertained the fact, they have given themselves no further trouble to explain the phenomenon.

In like manner, they are well acquainted with the effect of steam upon certain bodies that are immersed in it; that its heat is much greater than that of boiling water. Yet, although for ages they have been in the constant practice of confining it in close vessels, something like Papin's digester, for the purpose of softening horn, from which their thin, transparent, and capacious lanterns are made, they seem not to have discovered its extraordinary force when thus pent up; at least, they have never thought of applying that power to purposes which animal strength has not been adequate to effect. They extract from the three kingdoms of nature the most brilliant colours, which they have also acquired the art of preparing and mixing, so as to produce every intermediate tint; and, in their richest and most lively hues, they communicate these colours to silks, cottons, and paper; yet they have no theory on colours.

The process of smelting iron from the ore is well known to them; and their cast ware of this metal is remarkably thin and light. They have also an imperfect knowledge of converting it into steel, but their manufactures of this article are not to be mentioned with those of Europe, I will not say of England, because it stands unrivalled in this and indeed almost every other branch of the arts. Though their cast-iron wares appear light and neat, and are annealed in heated ovens, to take off somewhat of their brittleness, yet their process of rendering cast iron malleable is imperfect, and all their manufactures of wrought iron are consequently of a very inferior kind, not only in workmanship but also in the quality of the metal. In most of the other metals their manufactures are above mediocrity. Their trinkets of silver fillagree are extremely neat, and their articles of tootanague are highly finished.

With the use of cannon they pretend to have been long acquainted. When Gengis-Khan entered China, in the thirteenth century, artillery and bombs and mines are said to have been employed on both sides; yet when the city of Macao, in the year 1621, made a present to the Emperor of three pieces of artillery, it was found necessary to send along with them three men to instruct the Chinese how to use them. The introduction of matchlocks, I am inclined to think, is of no very ancient date; they wear no marks of originality about them, like other articles of Chinese invention; on the contrary, they are exact models of the old Portugueze matchlock; and differ in nothing from those which still continue to be carried, as an article of commerce, by this nation to Cochin-China. There can be no doubt, however, of the use of gunpowder being known to the Chinese long before the Christian era.

In a very ancient treatise on the military art, there is a detailed account of the manner how to annoy an enemy's camp, by springing a mine with gunpowder; but this treatise makes no mention of cannon. Fire-works, made generally of gunpowder, filings of zinc, camphor, and other ingredients, are described in various old tracts. It is easily conceived, that the deflagration of nitre was likely to be first noticed in those countries where it is the spontaneous and abundant production of the earth, which is the case on the elevated desarts of Tartary and Thibet, and on the low and extensive plains of India and China. The gunpowder, however, made by the Chinese is extremely bad. They have no particular manufactory, but each individual makes his own. It is in fact one part of the soldier's employment to prepare his own gunpowder. The usual proportions, according to Van-ta-gin's information are,

50 pounds of nitre,
25 —— sulphur,
25 —— charcoal.

They know not the art of granulating the paste, as in Europe, but use it in a coarse powder, which sometimes cakes together into a solid mass; and from the impurity of the nitre, (no means appearing to be employed for extracting the common salt it usually contains) the least exposure to the air, by attracting the moisture, makes it unfit for service. This may be one reason for their objection to firelocks.

It has been remarked, that the three great discoveries of

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