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THE

MEASURES, WEIGHTS, AND MONEYS

OF THE

GREEKS AND ROMAN S.

THE metrological systems of the Greeks and Romans, and the methods pursued in the determination of their standards, have been regarded with interest by those curious in antiquarian researches. While the relations of the various parts of each system have been satisfactorily ascertained, the values which have been assigned to their units, whether of length, capacity, or weight, when referred to those of modern times, exhibit considerable discrepance. This may not excite surprise when it is considered that these values have been deduced from observations, made with different degrees of nicety, upon models possessing conflicting claims to perfection. A learned professor of Stutgard has reviewed the labours of his predecessors in these inquiries with masterly skill, and has imparted | to his investigations a precision which entitles them to reliance. His results have been adopted, and his mode of procedure exhibited in the following pages. In conformity with his plan, and for the reason that we possess more numerous specimens of the Roman standards than of those of the Greeks, which furnish more accurate data for the estimate of both, the former will be first treated of.

1. ROMAN MEASURES OF LENGTH.

The Romans, like other nations of antiquity, derived their measures of length from the different members of the human body, the unit of which was the foot. Their Pes was divided both into 12 uncia and 16 digiti. The first division, by which it was recognised as the tAs or unit, and its parts expressed by uncia, was generally adopted. Thus, when authors make mention of pes uncialis, they understand the 12 of pes; thus, also, pes dodrantalis means, bessalis, quincunqualis, trientalis, quadrantalis, and semiuncialis of pes. The second division, into 16 digiti, is the more natural, and was principally used by architects and land surveyors; and, though it latterly came into more general use, is seldom found in the specimens of the pes, unaccompanied by the first. Palmus, the palm, or the width of the hand, is the rahatorn of the Greeks, and was invariably received by the Romans as the fourth of pes; but St. Jerome, in his comments on Ezechiel (cap. 40), has assumed it as the three fourths, by which admeasurement it nearly answers to the Greek σraun, and the modern Italian Palm. Cubitus is sesquipes or 1 pedes, and is seldom met with except when it is used in translating

✦ J. F. Wurm. His determinations are given in the old French measures, weights, &c., and have been reduced to the English and American standards by a comparison of the " Manual des Poids et Mesures" of M. Tarbè, and Mr. Hassler's able report to the Treasury Department in 1832. Other works have been consulted, of which may be mentioned those of Greaves, Hooper, and Arbuthnot, the papers of Raper in the Philosophi cal Transactions of the Royal Society of London for the years 1760 and 1771, and the profound report of President Adams to the Senate of the United States in 1821.

† See the section on Roman Weights.

the Greek xvs. It is sometimes improperly confounded with Ulna. Ulna is the Greek opyvia ("dicta ulna àñò tôv ¿hévwv,id est a brachiis; proprie est spatium in quantum utraque extenditur manus.”— "-Servius ad Virg., Ecl., 3, 105.) Pes sestertius=2} ped. is rendered by Boëthius and Frontinus gradus or "step," a term, however, not found in any classical writer. Passus (“a passis pedibus") was a pace, equal to five pedes. Decempeda or Pertica (modern Perch) was employed in measuring roads, buildings, land, &c. Actus is the length of a furrow, or the distance a plough is sped before it turns, and corresponds to our Furlong: it equalled 120 ped. The Itinerary unit, by which the Romans assigned the length of their own roads, was milliare (mille passuum)=5000 ped.; that by which they expressed the valuation of maritime distance, or that between places situated in Greece, was the stadium 125 passus=725 ped. ; and that employed in measuring the roads of the Gauls was the leuca or leuga (whence our League is derived, though more than double in value)=1} milliaria.

of our

2. ROMAN MEASURES OF EXTENT. The unit of extent was Jugerum (nearly acre), which was also distributed into uncia: Columella describes it as being 240 pedes in length and 120 in breadth=28,800 pedes quadrati; and, consequently, uncia=2400, Siciliquus=600, Sextula=400, and Scrupulum 100 ped. quad.; which last is evidently a decempeda quadrata. These were used by surveyors; but those more commonly mentioned by Heredium, Centuria, and Saltus. writers on husbandry were Clima, Actus, Jugerum, whose side is 60 ped. (Columella, 5, 1.) Actus Clima is a square quadratus ("in quo boves agerentur cum aratro, cum impetu justo."-Plin., 18, 3) is thus explained by Columella : "Actus quadratus undique finitur pedibus 120, et hoc duplicatum facit jugerum, et ab eo, quod erat junctum, nomen jugeri usurpavit." (Colum., l. c.) Actus minimus or simplex was 120 ped. in length and four in breadth. Varro (R. R., 1, 10) thus describes the Heredium, Centuria, and Saltus: "Bina Jugera, quæ a Romulo primum divisa dicebantur viritim, quod heredem sequerentur, heredium appellarunt. Heredia centum centuria dicta. Ha porro quatuor centuria conjuncta, ut sint in utramque partem binæ, appellatur in agris viritim divisis publice saltus." Versus 10,000 ped. quad. answers to the Greek πλé0

pov.

3. ROMAN MEASURES OF CAPACITY.

1. For liquids. The standard measure of capacity was the Quadrantal or Amphora (derived from the Greek ȧupoprús), being a cubic vessel each of whose sides was a Roman foot; and, according to an old decree of the people preserved by Festus, it contained 80 libræ (Roman pounds) of wine. Columella fre

rately it may have been determined, can now be of little use, inasmuch as the present standard foot is greater than that employed by him, by an excess not easily ascertained, though it has been estimated by Raper at which, applied as a correction, would give the Statilian foot .970056 ft. Auzout, according to Raper, found it .96996 ft., and Revillas .96979 ft. The mean value of the Statilian foot deduced from these observations is then 11.639224 inch.-2. The Cossutian foot was found on the tombstone of Cn. Cossutius (probably the same with a celebrated arch!tect mentioned by Vitruvius), and dug up about the same time with the Statilian, in the gardens of Angelo Colozzi, from whom it has taken the name of Colotian; the divisions are scarcely perceptible; Greaves found it .967 ft., which, corrected, is .965066 ft.-3. The Ebutian foot was discovered on the monument of M.

quently makes cadus synonymous with it, and by the | found it .972 feet, which measurement, however accuGreeks it was called κεράμιον, ἀμφορεύς, and μετρητής 'Iraλikós. The greatest liquid measure was the Culeus or Culleus=20 amphora. The divisions of the amphoræ are easily inferred from the plebiscitum just mentioned, and from the following passage of Volusius Mæcianus: "Quadrantal, quod, nunc plerique amphoram vocant, habet urnas 2, modios 3, semimodios 6, congios 8, sextarios 48, heminas 96, quartarios 192, cyathos 576." The Urna was so called, according to Varro, "ab urinando, quod in aquá hauriendá, urinat, hoc est mergitur, ut urinator." Congius was the cube of half a pes; one of Vespasian's is still extant, marked with the letters P. X., which denote pondo decem, ten being the number of pounds it contained by law. Congii of wine or oil were given to the people by the emperors and chief magistrates on holydays, which gifts were hence called congiarii, and persons frequently derived surnames from the number of congii of wine they were in the habit of drinking at a draught; hence Cicero's son was called Bicongius, and Novellus Torquatus, a Milanese, Tricongius. (Plin., 14, 22.)

butius, in the Villa Mattai; it is but rudely divided into palmi, and its mean length is 11.6483 inch.-4. The Capponian foot was found on a marble without inscription in the Via Aurelia, and presented by the Marquis Capponi to the Capitoline Museum, where it is preserved with the three others. Revillas found it 11.625 inch. The value of the pes, if considered as the mean of these four feet, is 11.623326 inch.

Sextarius was of the congius 2 hemina 4 quartarii=12 cyathi; hence the sextarius, from the fact of its containing 12 cyathi, was regarded as the as or unit of liquid measures, and its uncia or cyathi were denominated, according to their numbers, sextans, (b) From the foot-rules we might expect to derive a quadrans, &c. It may be remarked that the ancients, result more worthy of reliance, since they were conat their entertainments, were in the habit of drinking structed for the direct purpose of measurement, those as many cyathi as there were letters in the names of on the marble being probably intended to explain the their mistresses. (Martial, Epig., 9, 93; 1, 72.) profession of the individuals to whose memory they There were two kinds of sextarii, the castrensis and were erected. The foot-rules were bars of iron or urbicus, the former being double of the latter, or com- brass, of the length of a pes. Those most celebrated mon sextarius. Acetabulum was half the quartarius, are the three discovered by Patus, equal in length, of and was so called, in imitation of the Greeks (to whose which a model, cut in marble, was placed by him in ¿úbapov it corresponded), from acetum, since it was the Capitol, whence the foot has been styled the Capfirst used for holding sauce for meat. Ligula or lin-itoline, and has been generally considered as the true gula at first simply signified a spoon, but was afterward regarded by the Latin physicians as a fourth of the cyathus; Pliny and Columella make cochlear or cochleare synonymous with it.

2. For things dry. The unit of this measure was the modius, which contained two semimodii, and was of the amphora, as is apparent from the passage of Volusius Mæcianus above quoted. The remaining measures, sextarius, hemina, &c., bear the same relation to the amphora in the dry as in the liquid

measure.

4. DETERMINATION OF THE ROMAN MEASURES. The measures of Length, Extent, and Capacity are so intimately connected that the determination of their values will easily be deduced from that of the pes. Various measurements have been made, and various modes of investigation been pursued, for the purpose of assigning the value of the Roman foot, which, from the imperfection of instruments, the want of accuracy of observation, and of attention paid to the degree of injury which the specimens examined may have suffered, differ considerably in their results. We shall give a brief account of most of these observations, and, as far as possible, assign to each its proper degree of credence. All that has served as a means of calculating the value of the Roman foot may be arranged under the following classes: (a) Specimens of the pes found on tombstones. (b) Foot-rules. (c) Milestones. (d) Distances of places. (e) Congii. (ƒ) Dimensions of ancient buildings at Rome.

Roman foot. From the numerous measurements it has undergone, it has sensibly increased, so that its value must be assumed 128.695 Par. lin., its origi nal determination by Patus, reduced to the French standard by Wurm. Now the Paris line being (ac cording to the mean value of the toises of Canivet and Lenoir, as given by Mr. Hassler) equal to .007401829 English feet, the Capitoline foot equalled .95258 feet. Besides the Patian, other foot-rules remain, not, however, celebrated; their values are mostly between .967

and .97 ft.

(c) The distances between the milestones might furnish a correct determination of the Roman foot, were it not that none are now standing within 30 miles of Rome, and, therefore, none to be much relied on as having been originally measured off with accuracy. Bianchinus, however, a celebrated Italian philosopher and mathematician of the 17th century, from the distances of the milestones on the Appian road, deduced the Roman foot-130.6 Par. lin. 11.60015 inch.

(d) The measures of the public roads recorded in the Itinerary of Antoninus and in the Peutinger Table, can be of little assistance in our inquiry, since those records not only omit fractions, which must have existed, but are frequently at variance with each other. Besides, it is not known whether the distances are reckoned from the market-places or from the gates; and an error of half a mile in sixty, being equivalent to an error of the tenth part of an inch in a foot, no exact value of the Roman foot could be hence derived, even though the mensurations of Cassini, Riccioli, and others were totally unexceptionable.

(a) There remain four celebrated specimens of the Roman foot represented on tombstones, which have (e) In the description of the measures of capacity, been respectively named the Statilian, Cossutian, Ebu- it was stated that the congius, in accordance with a tian, and Capponian feet. 1. The Statilian foot was plebiscitum (the Silian law), contained ten Roman discovered in the 16th century in the Vatican Gar-pounds of wine or water. By the determination of dens at Rome, on the tombstone of a certain Statilius: the libra, which is given in section v., the congius though in a state of good preservation, it is of clumsy weighed 50495.3064 grs.; now as a cubic inch of workmanship, and carelessly subdivided. Greaves distilled water, at maximum density, weighs 252.632

grs., the congius contains 199.876921 cubic inches, and, consequently, its side is 5.8468 inch. But the side of the congius was half the Roman foot; hence the value of the Roman foot, as deduced from the congius, is 11.6936 inch. Though this result is very near the correct one, much reliance cannot be placed on this mode of arriving at it, in consequence of the weight of the ancient wine (80 libræ of which were contained in the congius) being unknown. But, as Rhemnius Fannius informs us that the ancients accounted no difference to exist in the specific gravities of wine and water, we have considered them equal, and supposed distilled water of maximum density to be of the same specific gravity with that employed by them, which was very probably pure rain-water. There remain two congii, of which the most celebrated was placed by Vespasian in the Capitol, as its inscription imports, and is commonly called the Farnesian; the other is preserved at Paris. These have been filled with water and weighed by Pætus, Villalpandus, Auzout, and others, who have hence sought to determine the libra and pes; but the results of their experiments are so much at variance as to render any inferences drawn from them objectionable.

(f) The last method we shall notice, and which leads to the most satisfactory conclusion, consists in the measurement of the ancient buildings now standing at Rome; and though many have ascertained the length of some single parts of them, yet no one has compared the measures of the principal parts with so much assiduity and success as Mr. Raper. Having carefully examined the work entitled "Les Edifices antiques de Rome," by M. Desgodetz, he very ingeniously deduced the value of the Roman foot from 65 dimensions=.97075 ft. From this value of the pes, which is the one now generally adopted in Germany and France, are easily deduced all the measures of length. (See Tables I. ånd II.) The jugerum being 28800 ped. quad., equals 27139 sq. ft. 2 roods, 19 poles, and 187 ft.; whence the superficial measures in Tables III., IV., and V. have been calculated. The amphora being the cube of the pes, equals 1580.75 cub. inch.; but as a cubic inch of distilled water at maximum density weighs 252.632 grs., and a gallon 10 lbs. avoirdupoise or 70,000 grs., the amphora equals 5 galls., 2 qts., 1.64 pts.; whence the Capacious measures in Tables VI. and VII. have been computed.

5. ROMAN WEIGHTS.

The unit of weight was originally denominated As, and subsequently Libra or As Libralis. It corresponded nearly with our Troy pound. Its multiples were Dupondius (2 pondo or libra), Sestertius (24 asses), Tressis (3 asses), Quatrussis, Quinquessis, and so on till Centussis. The term as, though properly applied to a piece of copper of the weight of a Roman pound, was extended not only to all the Roman measures expressing their units, but also denoted the entire amount of inheritances, interest, houses, farms, and all things which it was customary to divide; and reference being constantly made by authors to it and its subdivisions, it is important that they should be thoroughly understood. The following table exhibits the relations subsisting between the as and its several

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The Romans made their weights of marble, iron, or brass. A few specimens of these are now extant, and have been weighed by Rome de l'Isle and Eisenschmid, whose results vary from 4900 to 5100 grs. Others have attempted the determination of the libra from the relation existing between it and the congius, the latter having been determined to contain 197.6 cub. inch. nearly. If we assume the weight of a cubic inch of water 253 grs., a congius of water would weigh 49992 grs., and the libra would equal 4999.2 grs.; but if we suppose a cubic inch of the Roman wine, which was employed in the adjustment of the libra and congius with regard to one another, to weigh 256 grs., the value of the libra would be 5058.5 grs. It is then evident that, from our ignorance of the specific gravity of the ancient wine, we can arrive at no more accurate conclusion with regard to the value of the libra from a knowledge of the exact dimensions of the congius, than from the weight of those rough specimens just noticed. This assertion may be substantiated by mentioning the valuations given by different metrologists, who have employed either the congius or the specimens as the basis of their calculations. Budæus makes the libra=5904 grs., Rome de l'Isle 4958, Auzout 5105, Eisenschmid 5097, Paucton 5175, and Arbuthnot 5245 grs. The mode of investigation founded on the hypothesis that the ancients exercised at least a tolerable degree of nicety in standarding their moneys, has been justly recommended as the most perfect we can employ. It consists in ascertaining the value of the scrupulum, and hence that of the libra, from certain aurei which are extant, and which were coined of the weight of a certain number of scrupula, indicated by the stamp they bear. Letronne, whose accurate and laborious experiments on the ancient coins have entitled him to implicit reliance, from the weight of 54 aurei deduced the scrupulum 21.4 Par. grs. ; hence 288 scrupula or the libra 6163.2 Par. grs. We may safely put the Roman pound, as Letronne advises, =6160 Par. grs., since an error of the hundredth part of a grain in the value of the scrupulum just assigned would produce one of 2.88 grs. in that of the libra. The libra then equals 6160 Par. grs. 5049.53 mint-pound grs., and the remaining weights are hence easily calculated. (See Tables VIII. and IX.)

6. ROMAN MONEYS.

Festus informs us that the Romans during the reign of Romulus had not established coined money as a medium of exchange, but used for this purpose leather, painted wood, and pieces of metal, the values of which were determined by weight. That Numa caused copper to be cut into rough pieces (ara rudia) of the weight of a libra, is asserted by some authors, while others are of opinion that leather, &c., were still used in the time of Numa, and that Servius Tullius first ordered round pieces of copper to be made, of a pound weight, called asses librales, with the images of cattle (pecudes) rudely sketched on them, and that hence the term pecunia was applied to money. Copper continued to be in general circulation till A.U.C. 485, when silver was first coined at Rome, though foreign coins of this metal had been previously introduced; the coinage of gold followed 62 years after. The temple of Juno Moneta was appropriated as the general depository of standards, and the coins were issued from it, having been previously inspected by Nummularii or

The Paris grain equals .819729 mint-pound grs, or .820072 Troughton's grs.; since the French Kilogram equals 18827.15 Par. grs., 15433.159 mint-pound grs., or 15439.619 Troughton's grs. It may be here remarked, that we have employed the mint-pound grs. of Philadelphia, of which the mint-pound contains 7000, in assigning the values of the Greek and Roman weights, and those who wish to obtain them in Troughton's grs. can effect their object by multiplying those we have given by 1.0004184. (See Mr. Hassler's Report.)

we are informed by Corn. Celsus, as the of an uncia. But it gradually diminished in weight under the Cæsars (see Table XII.); and having subsequently regained its original weight, though with a considerable abasement of its purity, it continued to be the current silver money of the empire till Constantine substituted the miliarensis in its stead. Letronne having carefully weighed 1350 consular denarii, deduced the weight of the denarius=73 Par. grs. 59.84 mint-pound grs. Now its purity being .97, its value is easily calculated 8d. 2.17 far. 15 cts., 4.7 mills. (See Tables X. and XI.)

The golden coins of Aurei were issued A.U.C. 546, weighing 1 or more scrupula, the scrupulum of gold passing for 20 sestertii. Some few remain with the numerals XX. and XXXX., which indicate their values to be respectively 20 and 40 sesterces. They have the head of Mars and the numerals denoting their value on one side, and on the reverse an eagle standing on a thunderbolt. Afterward it was thought proper to coin 40 aurei out of the pound, each valued at 25 denarii; their mean weight is 125.62 grs. The aureus gradually diminished in weight during the time of the emperors (see Tab. XII.), till in Pliny's time 45 were struck out of the pound. The Emperor Severus coined semisses and tremisses of gold, whence the aureus, being considered the integer, was denominated Solidus. Soon after, the coinage, becoming irregular, was entirely remodelled by Constantine, who coined 72 solidi out of the pound, each weighing then 4 scrupula or 70.13 grs., and made the pound of gold equal to 1000 miliarenses; so that the solidus equalled 137 miliarenses, though it passed for 14.

assaymasters. The entire mint was under the general drachm, prescribed by it; it was then considered, as superintendence of three men, appointed by the people at the Comitia Tributa, denominated Triumviri Monetales. The Romans counted by asses, sestertii, denarii, and aurei. The as (originally assis, from aes), or assipondium, was at first libralis, and bore the impression of Janus geminus, or bifrons, on one side; on the reverse, the rostrum of a ship, and was at first, as we have noticed, libralis; but in the first Punic war, in consequence of the scarcity of money, the republic ordered asses to be struck weighing 2 unciæ, by which, as Pliny informs us, it gained and discharged its debt; it was subsequently reduced, when Hannibal invaded Italy, to the weight of an uncia, and lastly by the Papirian law to that of a semiuncia; and though this rapid diminution of its weight was required by the necessities of the commonwealth, it would eventually have been accomplished by the increasing abundance of silver and gold. The as thus reduced was, in reference to its original weight, denominated libella, and the older coins are distinguished from it by later writers when they speak of as grave. Besides the as, its subdivisions, viz., semisses, trientes, quadrantes, sextantes, stipes unciales, semiunciœ, and sextula (the smallest of the Roman coins according to Varro), and its multiples, dupondii, quatrusses, and decusses, were coined; specimens of which remain at the present day, and are to be found in the most valuable collections of ancient coins. But those pieces less than the as which were most frequently coined, were the semissis and quadrans, bearing the impress of a boat instead of the rostrum of a ship; the former was also named sembella (quasi semilibella), the latter teruncius. The sestertius, quinarius, and denarius were silver coins, and called bigati or quadrigati, from the impression of a chariot drawn by two or four horses, which they bore on one side, that on the reverse being the head of Roma with a helmet. The sestertius (or semistertius) was so called by a figure borrowed from the Greeks, and equalled 2 asses; its symbol is H. S., abbreviated from L. L. S., the initials of libra, libra, semis. The sestertium, or 1000 sestertii, was expressed by the symbol HS; it was not a coin, but was employed by the Romans, together with the sestertius, in computing large sums of money. Their method of notation was effected by The unit of linear measure adopted by the Greeks combining the symbols with their numeral characters; was the foot (IIous), of which the dúkrvnog, or finger's thus HS. MC. indicates 1100 sestertii; but if the breadth, was, and the Talaiorý, or palm, 4. The numerals have a line over them, centena millia or latter was also understood by doxun, from dérouai, “to 100,000 is understood; thus HS. MC. means 110 receive," by the compound term dakrvλodoxun, and by When the numerals are separ- of the latter term to this measure is commonly exdopov, which properly signifies a gift; the application ated by points into two or three orders, the 1st on the right hand denotes units, the 2d, thousands, the plained by the fact, that the palm of the hand is natu3d, hundred thousands; thus, III. XII. DC. HS. de- rally extended in receiving a gift. Erilaμn, or span, notes 300,000+12,000+600-312600 sestertii. The equals 12 dúkruλot, and is defined by Hesychius to following illustration may be also added. Pliny says, that of the little finger, when the hand is opened with be the distance from the extremity of the thumb to that seven years before the first Punic war there were in the Roman Treasury "auri pondo XVI. DCCCX.; a view of grasping or measuring any object. The diargenti pondo XXII. LXX.; et in numerato LXII visions of the Tous, more rarely employed, are kovovLXXV. CCCC." (33, 3); that is, 16.810 pounds 20s, dixúc, ixús, and optódwpov; the first being 2 of gold, 22,070 pounds of silver, and 6,275,400 sesdúkтvhoι, and the second Tous, hence entitled by tertii of ready money. The quinarius was equal to 5 Theophrastus huódiov. The xúc was 10 dákTvasses, and marked V; by the Clodian law it was im-201, and the optódwpov, being the length of the hand pressed with the figure of Victory, and hence called Victoriatus. The denarius, at its first institution, equalled 10 asses, and was stamped with the numeral X or

millions of sestertii.

But when the Romans were pressed by Hannibal, A.U.C. 537, the as having been made uncialis, the denarius passed for 16 asses, the quinarius for 8, and the sestertius for 4; and when the as was made semiuncialis the same proportion was retained, except in the payment of the soldiers, with whom the denarius preserved its original value. The denarius was not used as a weight until the Greek physicians came to Rome, who, finding it nearly equal to their

The ratio of gold to silver during the republic and the twelve Cæsars is given in Tab. XII.

The Grecian measures, weights, and coins, being well known to the Romans, were mostly determined by them to have some definite relation to their own; so that they will oppose less difficulties in assigning their values.

7. GRECIAN MEASURES OF LENGTH.

from the wrist to the extremity of the middle finger, equalled 11 dákтuho. Pollux (lib. 2), from whom the previous definitions have been derived, informs us that πυγμή=18 δάκτυλοι, was the distance from the elbow to the extremity of the metacarpal bone of the middle finger, while that reckoned to the extremity of its first phalanx was Tuyúv=20 dáктvλ01, and that x=24 dákтvλo, was the cubit, or the distance from the elbow to the extremity of the middle finger. The s then contained 13 πόδες. The βῆμα Was 23 πόδες, and thus corresponded to the pes sestertius of the Romans. It was employed by the people at large as the unit of distance, whence ẞnuariotaí mean measurers of

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roads. Opyvia, or fathom, from opéyw, “to extend," of horn; and aμpopɛús, from auoipopeus, receiving its is the distance from the hands, when the arms are name from the two handles by which it was carried. raised and extended, measured along the breast, and Another synonyme was σταμνίον (“ κεράμιον τοῦ οἴνου equals 6 Todes; hence it has received from Herodo-údaros σтauviov," Hesychius.) From the verses of Rhemnius Fannius, tus the epithets τετράπηχυς and ἑξαπόδης. measure from which the Romans probably borrowed "Attica præterea dicenda est amphora nobis their decempeda was ἄκαινα or κάλαμος=10 πόδες; Seu cadus; hunc facies, si nostræ addideris urnam,' six of these constituted the "Apua, which, together with the Théopov 100 ródes, and the xúhauoc, was it appears that the μεтpητns=1 amphora 8 galls., 2 used principally in the measurement of lands. The qts., 0.46 pts. It contained 12 xovs, 72 §éoral, and 144 most ancient itinerary measure of the Greeks was the Korúhai; and, by comparing the Roman and Greek caOтúdiov, which appears to have had a very rude ori-pacious measures, we will perceive that the youç corregin. It is said to have been the invention of Hercu- sponded in value to the congius, éorns to sextarius, and Certain festivals at Athens were les, whose athletic exertion it exhibited, since it com- KOTúλn to hemina. prehended the distance which he was able to run with- called xóɛç, because, according to Suidas, every man had out taking breath. Isidorus informs us that it took a your of wine given him, and, as Athenæus declares, its name from tornu, "to stand," and assigns as a because Demophoön, king of Athens, offered a sweetreason, "quod in fine respirasset simulque stetisset." cake, and Dionysius the tyrant a crown of gold, as a prize It was established as the measure of the length of the to the first person who drank a xous of wine. KOTÚλn avλóc, or foot-course, at the Olympic games; and from derived its name from its cavity, and Galen mentions, the respect in which these exercises were held, it be- that the Korúλŋ and hemina were applied by the ancient came an itinerary measure. This distance, the hero physicians to the same use with the modern graduated who instituted it measured by the length of his foot, glasses of our apothecaries, being vessels of horn, of which he found equal to one six hundredth part of the rectangular or cylindrical shape, divided on the outcourse. Censorinus and M. Gossellin have endeav- side, by means of lines, into 12 parts, which they oured to show that there were different stadia em- called ounces of measure (ovyyiaι μɛтρikai), and corployed among the Greeks, but their remarks have responded to a certain number of ounces by weight been completely refuted by Wurm. 'ITTIKOV, or the (ovyyiaι oтabμikai). Now the hemina, being of distance a horse could run, "sub uno spiritu," equals 4 the amphora, weighed, when filled with wine, 10 unorádia, and Aóλxoç has been variously assumed as 6, cia, so that the account of Galen is involved in doubt, 7, 8, and even 24 orádia, but more correctly as 12. inasmuch as the ounce by measure was hence of Those linear measures which were known to the that by weight. Τέταρτον, ὀξύβαφον, and κύαθος were Greeks by their intercourse with other nations, were respectively equal to the quartarius, acetabulum, and Miλtov, or the Roman mile 8 orádia; Пapaoáy- cyathus of the Romans. The remaining measures are γης=30 στάδια, according to Herodotus (2, 6) and κόγχη, μύστρον, χήμη, and κοχλιάριον, concerning Xenophon (Anab., 5, 7), though Strabo makes it, in which authors are slightly at variance. Cleopatra different places, 40 and 60 orádia; and Exoivos, an makes a greater and less koyxn, the greater being the Egyptian measure, whose value is differently assigned same with the oğúbapov, the less † kúałoç; while Pliny (12, 25) makes the κóyxn a determinate measure. Μύστρον οι μύστλον was borrowed, as its name imports, from the shell of the sea-mouse, and was of two kinds: the less and more common being kúados, the greater of the Korúhŋ. Xhμn, derived also from some shellfish, was divided into the greater or rustic, KOTÚλn; and the less, or that used by physi

to be 60, 40, and 32 orádia.

8. DETERMINATION OF THE GREEK FOOT. There are two methods of investigating the value of the Tous proposed to us: the first consists in its determination by its ratio to the Roman foot; the second, by means of the public edifices of the Greeks which are yet standing. 1. All authors agree that the ratio subsisting be-ians, 30 korún. Koxhiúpiov was equal to tween the Roman and Greek foot is 24: 25, as might 2. For things dry.-The largest measure employed also be inferred from the value the Greeks assigned in the measurement of grain was Médiuvos=ɓ modu. to μίλιον, which we have mentioned was 8 στάδια Its divisions were τρίτος, ἕκτος, and ἡμίεκτον ; and 4800 módec-5000 pedes. Now the Roman foot hav-it contained 48 xoivikes; so that the xoivis equalled ing been determined .97075 ft., the value of the 4 κοτύλαι. The remaining measures were the same

Greek foot hence deduced is 1.0111812 ft.

χήμη.

11. GRECIAN WEIGHTS.

2. Mr. Stuart, who examined the temples remain-with the liquid measures. (See Tab. XVI. and XVII.) ing at Athens, found the average ratio of the Greek to the Roman foot to be 25.04: 24. (Quarterly Review, No. 10, p. 280.) The Greek foot would hence

=1.0128168 ft.

The mean of these two values is 1.011999 ft. We prefer, however, adopting Wurm's determination, who has examined Mr. Stuart's measurements with great accuracy, and has equalled the Greek foot to 136.65 Par. lin. 1.01146 ft. (See Tab. XIII. and XIV.)

The unit of weight was Spaxun or drachm-6 660hot. 'Obohós equalled, according to Pollux, 8 xaλkoi, and the χαλκός, on the authority of Suidas =7 λέπτα ; though Pliny makes the 660λós=10, and Suidas =6 xaλkoi. The Romans translated xaλkóç areolus, and Enrov minuta or minutia. Though Rhemnius Fannius asserts that the Greeks used no weights less than the bbohós, the physicians employed some smaller, viz., KEрúτiov, equal to the siliqua of the Romans, The unit of extent was 'Apovpa, being a square uncia, and ourάptov, or grain, siliqua. whose side is 50 módes; it was divided into sixths and twelfths, respectively called KTOι and hμieкTOL. The πλέθρον contained 4 άρουραι, and is the measure most frequently mentioned in the superficial measurements of lands. The values and relations of the oth-Romans, they divided into 12 ovyyíaι; the ráhavтoV

9. GRECIAN MEASURES OF EXTENT.

ers are exhibited in Table XV.

10. GRECIAN MEASURES OF CAPACITY.

1. For Liquids.-The greatest liquid measure was Μετρητής, which was also called κάδος, from χαδεῖν, "to contain ;" Kepáμιov, probably from its being made

The multiples of the ponderal unit, or the weights greater than the dpaxun, were the μvā or mina=100, and Táλavrov 6000 dpaxuaí. From libra, the later Greeks derived their Airpa, which, in imitation of the

being, according to Livy (38, 38), 80 libræ, the libra 75 Spaxual, and the dpaxun libra=67.327 grs.; which result differs very little from that assigned by Wurm. Considering that a more correct value of the δραχμή might be obtained from the coins extant, he has followed the determinations of Letronne, and

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