W. METCALFE AND SON, TRINITY STREET, CAMBRIDGE. ..6d. NOTICE. As the Book-post affords great convenience for the prompt transmission WEIGHTS AND MEASURES. As the method of enumerating by tens was originally derived from the fingers of the human hand, so also in the same manner were the primary units of measures of length derived and named from the members of the human body, and from the spaces included in their ordinary motions. The primitive names of these measures in the languages of all nations prove the identity of their origin. Thus of the former are the lengths of the human foot, the nail, the fingerbreadth, the hand-breadth or palm, and the cubit; and of the latter, the span, the step, the pace, and the fathom, employed as ordinary measures of length. The palm was reckoned the breadth of four fingers; the nail was the length from the end of the nail of the longest finger to the first joint; the inch, the length from the end of the thumb to its first joint, was adopted as an unit measure of length. This unit repeated four times was considered equal to the palm or the hand-breadth, and the hand-breadth taken three times gave the measure of the foot. The greatest expansion of the hand between the ends of the thumb and the middle finger gave the span; the distance from the end of the longest finger to the elbow, the cubit; the entire length of the arm, the yard; and the distance to which a man's two hands can be extended across the shoulders, the fathom. As the foot was too small an unit for estimating long distances with convenience, the step was reckoned equal to three feet; and the pace (passus), the interval between two steps, and equivalent to six feet, was also assumed as a measure; and a mile, as the word imports, consisted of one thousand paces (mille passus). Other measures of length have been derived and named from other considerations; as, for instance, the furlong (furrow long), taken to express the eighth part of a mile; the league (lugen, to see), a measure of three miles, supposed to express the distance the eye of a man, when standing upright, can see on a level plain; and the bow-shot, an ordinary measure of length formerly used in England and among other people who used the bow as a weapon. It will be evident that these measures, however sufficient they might be for the ordinary wants and conveniences of life in the early condition of human society, would be found to require more strict and exact definition as knowledge advanced, with the requirements of science and commerce. The earliest lineal measures of which any certain knowledge has descended to modern times, are those of the Hebrews and Egyptians, the Greeks and the Romans. The most ancient writings of the Hebrews supply facts in evidence that Egypt in very early times was a country under a regular form of kingly government, its people civilised and trading with the people of other countries in the fruits and productions of those lands. The oldest lineal measure named in these writings is the cubit, a measure used in describing the dimensions of the Ark (Gen. vi.) In the description of the suburbs to the cities to be assigned to the Levites in Numb. xxxv. 4, 5, two cubits are referred to, one of which is double the length of the other. The cubit is stated to be the distance from the elbow bending inwards to the end of the middle finger, and called in Deut. iii. 11, "the cubit of a man." The larger cubit was called "the cubit of the armpit," as being measured from that part of the arm. It may be presumed from the mention of the cubit in the later writings of the Hebrews, and in the writings of other nations, that the cubit was a measure known and generally recognised by other people besides those who came out of Egypt under Moses. In the British Museum there is preserved a measure which was discovered at Karnak, on the removal of some stones, a few years ago, from one of the towers of a propylon, between which it appears to have been accidentally left by the masons at the time of its erection at the remote period of the eighteenth dynasty (about 1400 B.C.) It is divided into fourteen parts, but each part is double in length those of the elephantine, and therefore consists of four digits, and the whole measure is equal to 41:46 English inches. The double cubit has the first division in its scale of fourteen parts subdivided into halves, and the next into quarters, one of these last being equal to one digit. It is made of larch, and having been closed up in the building between two stones, excluded from the air, the wood is as sound as when it was used by the workmen. It is called the cubit of Karnak. Herodotus (ii. 13) relates "that the priests told him that, in the reign of Moris, whenever the waters of the Nile rose to the height of eight cubits, all the lands were overflowed, since which time 900 years have elapsed, and now (450 B.C.), unless the river rise to sixteen, or at least to fifteen cubits, its waters do not reach those lands." It is clear from this account that there was in Egypt a cubit in use, within less than a century after the Exodus of the Hebrews, double of tho cubit used in Egypt in the age of Herodotus. Among the artificers employed in the works of the Temple of Solomon, Hiram is described as the son of a widow of the tribe of Naphtali, whose territories were adjacent to those of the kingdom of Tyre, and his father was a man of Tyre, a worker in brass. Of this man it is recorded (1 Kings vii. 15), "He cast two pillars of brass 18 cubits high apiece;" but in 2 Chron. iii. 15, "He made before the house two pillars of 35 cubits high." If the words casting in the former, and making in the latter verse, have a difference of meaning, there is here no contradiction to the fact of one cubit being double the other. By a comparison of the measures recorded in 2 Chron. iii. 3, and 1 Kings vi. 2, of the dimensions of the parts of Solomon's temple, with the account in Ezra vi. 3, of the rebuilding of the temple, it will appear that 60 cubits was the height of the latter, but 30 cubits the height of Solomon's, or that the cubit which describes the dimensions of the first temple was double of that which describes the second. After the return of the Jews from Babylon at the end of the seventy years of captivity, Ezekiel states (ch. xliii. 13): "The cubit is a cubit and a hand-breadth," from which it would appear that the cubit there spoken of was a hand-breadth or a palm longer than another cubit. Various opinions have been maintained of the length of those cubits. Some maintain that the double Jewish cubit is the cubit of Karnak. Others that the cubit of five palms was the cubit used in the measures. of the Temple of Solomon and the second Temple of Ezra, and called. the royal cubit, and that the sacred cubit was that of six palms. This cubit is supposed to be of the greatest antiquity. Sir Isaac Newton remarks in his dissertation on cubits, "that it. is agreeable to suppose that the Jews, when they passed out of Chaldea, carried with them into Syria the cubit which they had received from their ancestors. This is confirmed both by the dimensions of Noah's Ark, preserved by tradition in this cubit, and by the agreement of this cubit with the two cubits which the Talmudists say were engraven on the sides of the city Susan during the empire of the Persians, and that one of them exceeded the sacred cubit half a digit, the other a whole digit. Susan was a city of Babylon, and, consequently, their cubits were Chaldean. We may conceive one of them to be the cubit of the royal city Susan, the other that of the city of Babylon. The sacred cubit, therefore, agreed with the cubits of divers provinces of Babylon, as far as they agreed with each other; and the difference was so small, that all of them might be derived, in different countries, from the same primitive cubits." The conclusion of Sir Isaac Newton is, that the sacred cubit consists of 25.6 uncia of the Roman foot. His reasons will be found in his "Dissertation on Cubits.” Dr. Hussey remarks:-"There is no certain method of obtaining an absolute value of any one element of the ancient Hebrew measures, from which a system of values might be calculated for the period before the captivity of the Jews. No weights, coins, nor measures of that age exist; and we must have recourse to probable inference or conjecture for determining the values of all." The exact length of the Greek foot and of the Roman foot has engaged the attention of men of science in Europe for a very long period of time, and the result of their researches and investigations exhibit differences so small of these units in comparison with the foot measures of England and other countries, as to strengthen the presumption that all of them, having the same name, have had also the same origin. Mr. Stuart measured the upper step of the basement of the front of the Parthenon at Athens, and found the length to be 101 feet 1·7 inches English measure. And if the name hecatompedon was applied to it on account of its length, he determined the length of the Greek foot from this measure to be 12.137 English inches. In 1639 Mr. Greaves measured the Roman foot in the gardens of the Vatican,1 and found it to be 972 parts of the English foot, or 1 The following account is given by Professor Greaves himself in his works, vol. i., pp. 207–210 : "In the year 1639 I went into Italy to view, as the other antiquities of the Romans, so especially those of weights and measures, and to take them with as much exactness as it was possible. I carried instruments with me made by the best artisans; where my first inquiry was after that monument of T. Statilius Vol. Aper, in the Vatican Gardens, from whence Philander took the dimensions of the Roman foot, as others have since borrowed it from him. In the copying out of this upon an English foot in brass, divided into 2000 parts, I spent at least two hours (which I mention to show with what diligence I proceeded in this and the rest), so often comparing the several divisions and digits of it respectively one with another, that I think more circumspection could not have been used, by which I plainly discovered 11.664 inches. He also found the foot of Cossutius to be 967 parts of the English foot, or 11·604 inches. Several other measures of the Roman foot have been obtained, varying from one another, of which that of 971 of the English foot has been generally received. The Attic mina before Solon consisted of 72 drachmæ, or 6 in the ounce. They were possibly at that time only lamina argenti, small and long pieces of silver, which, agreeably to the original meaning of the word drachma, might be grasped in the hand. But whatever might have been the form of the Athenian money before Solon, the mina or pound of 72 drachmæ, by his celebrated Zeloάxbeiα, was altered to 100. In other words, Solon introduced a nominal pound instead of a real one; for the Athenian pound had no more than 84 drachmæ coined out of it for many ages afterwards. The Romans from the beginning of their coining silver accommodated themselves to the Grecian practice; their pound of silver was made into 84 denarii, but in tale it was always 100. It is probable that the different States of Greece had in use different weights and measures; for on the rise of the Achæan League, B.C. 280, it was agreed that the twelve associate cities should not only be governed by the same laws, but should be bound to use the same money, weights, and measures (Polyb. 129). It is not to be expected that the weights and measures of ancient times would be made with the same exactness as in modern times, as the physical facts, by means of which extreme accuracy can be attained, were either unknown or not taken into account. The Roman pound of Byzantium, preserved in the British Museum, weighs 4995 grains Troy; and the pound of gold was made into 72 coins, nominally each of 69.4 grains, but really of 68 grains. The Greek and Roman physicians above all others are likely to be the best judges of the relative proportions of the weights and measures used in their prescriptions. The Greek physicians, being in the highest repute at Rome, adopted as a weight the drachma instead of the denarius, as the latter was not long after applied to coins of a lower class, and lost its former estimate in weight. Scribonius Largus, a physician, who attended the Emperor Claudius into Britain, and recorded some circumstances in that voyage, "Cum Britanniam peteremus cum Deo nostro Cæsare," represents it indifferent whether prescriptions are made by the denarius or the drachma. And Galen has observed that in his time the denarius and drachma were but different names for the same weights. the rudeness and insufficiency of that foot. For besides that the length of it is somewhat too much (whatsoever Latinius, out of an observation made by Ant. Augustinus, Sighicellus, Pacatus, Maffeus, Statius, Ægius, and Fulvius Ursinus, pretends to the contrary) there is never a digit that is precisely answerable to one another. Howsoever, it contains 1944 such parts as the English foot contains 2000. 'My next search was for the foot on the monument of Cossutius, in hortis Colotianis, from whence it has received its denomination (though it be now removed), being termed by writers Pes Colotianus. This foot I took with great care, as it did well deserve, being very fair and perfect; afterwards collating it with that Roman foot which Lucas Pætus caused to be engraven in the Capitol on a white marble stone.. I found them exactly to agree; and therefore I did wonder why he should condemn this with his pen (for he makes some objections against it), which, notwithstanding, he hath erected with his hands, as appears by the inscription in the Capitol, CURANTE LU. PETO. It may be, upon second thoughts, he afterwards privately retracted his error, which he was not willing to publish to the world. Now this foot of Cossutius is 1934 such parts as the English foot containing 2000." |