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"MASSACHUSE'M'S INSTITUTE OF TECHNOLOGYBOLSAITIS, PETERMassachusetts Institute of TechnologyDepartment of Mineral Engineering77 Massachusetts AvenueCambr1dge,MA 02130(614) 253-5069ELLIOIT, JOHN F.Massachusetts Institute of TechnologyDepartment of Mineral Engineering77 Massachusetts AvenueCambridge, MA 02130(617) 253-3305RING, TERRYDepartment of Materials Science and EngineeringMassachu5etts Institute of TechnologyCambridge, MA 02130(6117) 253-4299"

Jan 1, 1988

By Richard Akerman, Frederick Prime Jr

[THE attention now being paid both in this country and Europe the greatest economy in the working of the blast furnace, and the eagerness with which all thoughtful men in the iron business look for any new information which will tend to throw light on this subject, is a quite sufficient excuse for presenting this paper to the American Institute of Mining Engineers.] I. It must be borne in mind that when two bodies unite to form a chemical compound, heat is almost always evolved. In order to

By T. Sterry Hunt

THERE are about sixty bodies which chemists call elements ; the simplest forms of matter which they have been able to extract from the rocky crust of our earth, its waters, and its atmosphere. These substances are distributed in very unequal quantities, and in very different manners. As regards the frequency of these elements in nature, neglecting for the present those which constitute air and water, and confining ourselves to the solid matters of the earth's crust, there are a few which are exceedingly abundant, making up nine-tenths, if not ninety-five hundredths, of the rocks so far as known to us. The elements of which silica, alumina, lime, magnesia, potash, and soda are oxides, are very common, and occur almost everywhere. There are others which are much rarer, being found in comparatively small quantities. Many of these rarer elements are, however, of great importance in the economy of nature. Such are the common metals and other substances used in the arts, which occur in nature in quantities relatively very minute, but which have been collected by various agencies, and thus made available for the wants of man. It is chiefly of the well-known metals, iron, copper, silver, and gold, that I propose to speak to-night ; but there are two other elements not classed among the metals, which I shall notice for the reason that their history is extremely important, and will, moreover, enable , us to comprehend more clearly some points in that of the metals themselves. I speak of phosphorus and iodine. You all know the essential part which the former of these, com-

By T. Sterry Hunt

THERE are about sixty bodies which chemists call elements ; the simplest forms of matter which they have been able to extract from the rocky crust of our earth, its waters, and its atmosphere. These substances are distributed in very unequal quantities, and in very different manners. As regards the frequency of these elements in nature, neglecting for the present those which constitute air and water, and confining ourselves to the solid matters of the earth's crust, there are a few which are exceedingly abundant, making up nine-tenths, if not ninety-five hundredths, of the rocks so far as known to us. The elements of which silica, alumina, lime, magnesia, potash, and soda are oxides, are very common, and occur almost everywhere. There are others which are much rarer, being found in comparatively small quantities. Many of these rarer elements are, however, of great importance in the economy of nature. Such are the common metals and other substances used in the arts, which occur in nature in quantities relatively very minute, but which have been collected by various agencies, and thus made available for the wants of man. It is chiefly of the well-known metals, iron, copper, silver, and gold, that I propose to speak to-night; but there are two other elements not classed among the metals, which I shall notice for the reason that their history is extremely important, and will, moreover, enable us to comprehend more clearly some points in that of the metals themselves. I speak of phosphorus and iodine. You all know the essential part which the former of these, com- * An address before the Polytechnic Association of the American Institute, during the meeting of the American Institute of Mining Engineers in New York. Printed in this volume by request of many members.

Jan 1, 1873

By R. V. Ramani, P. M. T. White, D. Sutton

Appendix I. Part 1: Description Of Geology & Reserves System Introduction The Ore Evaluation and Reserve programs have been developed to aid in the evaluation of coal deposits, both qualitatively and quantitatively. The "Weighted Moving Average" technique used provides considerable flexibility in dealing with diverse parameters with differing distribution characteristics. Determination of Model Constants "a" and "k" - Unit 1 The flexibility of the method in dealing with diverse value parameter distributions lies in its ability to cater to the individual characteristics of each. These characteristics are embodied in the values determined for constants "a" and "k", namely, local and regional variations in value distributions, respectively. The empirical method used attempts to optimize the "a" - "k" combination. Realistic values for "a" and "k" are entered into the program together with sample values for the required parameters and their respective coordinate location values. All the values within a specified radius from the point being evaluated are used to interpolate a value at that point. (Note, the interpolated point is the location of one of the boreholes, values of which are not used in the calcula¬tion.) 3n a similar manner, interpolated values are calculated for each borehole location and for each parameter. This is done for each possible combination of "a" and "k".

Jan 1, 1974

By Lloyd A. Morley, Alan M. Christman

Mine One General. The first summer field trip for the purpose of collecting data on open-pit metal mine grounding systems was marred by the fact that the group's ground test instrument was damaged in transit and proved to be inoperative. Fortunately, the mine personnel had a similar instrument which was then used for all tests. System Description. Power is purchased from the utility at either 69 or 100 kV. This is transformed to 4160 V at the pit substations and distributed around the periphery of the pit via a "ring bus." The three phase wires and the safety-ground conductor are carried on a conventional wooden pole and cross-arm support structure. At key loca¬tions, overhead feeders carry power from the ring bus down over the benches and into the pit. Each overhead feeder is terminated at a switchhouse, from which an SHD-GC trailing cable supplies power to the electric loading shovels. Each pit substation has a main or system-ground mat, installed by the utility, and a separate safety-ground mat, which is constructed by mine personnel. Three of the safety-ground mats are quite old, and personnel at the mine could not recall what type of construction was used. However, records are available on the fourth mat and construc¬tion details are shown in Figure 64. Protective circuitry includes a donut or window-type current transformer through which the three phase wires are run. Additional

Jan 1, 1976

By Lloyd A. Morley, Alan M. Christman

PART A. ELECTRICAL EQUIPMENT – GENERAL Paragraph 1. Electrical Equipment; Examination. All electric equipment shall be examined, tested, and properly main¬tained by a qualified person to assure safe operating conditions. The examinations and tests shall be performed at intervals not exceeding six (6) months unless otherwise specified in Parts A, B, C, D, and E. When a potentially dangerous condition is found on electric equipment, such equipment shall be removed from service until such condition is corrected. A record of such examinations shall be kept and made available to an authorized representative of the Secretary and to the authorized repre¬sentative of the miners in such mine. Each item of major equipment, in¬cluding substations, switchgear, load centers, and so forth except powered hand tools, shall be recorded separately. The record of such examination shall include all dangerous conditions found, corrective action taken, and name of examiner, and shall be signed by the person responsible for main¬taining the equipment in safe operating condition, who shall also be a qualified person. Paragraph 2. Electrical Work; Qualified Personnel. No electrical work shall be performed on electrical distribution circuits or equipment, except by a qualified person or by a person trained to perform electrical work and to maintain electrical equipment under the direct supervision of a qualified person. Disconnecting devices shall be locked out and prominently tagged by the persons who perform such work, except that in cases where locking out is not possible, such devices shall be opened and prominently tagged by such persons. Locks and tags shall be removed only by the persons who installed them or, if such persons are

Jan 1, 1976

By Herbert Clark Hoover, Lou Henry Hoover

GEORGIUS AGRICOLA was not only the author of works on Mining and allied subjects, usually asso ciated with his name, but he also interested himself to some extent in political and religious subjects. For convenience in discussion we may, therefore, divide his writings on the broad lines of (1) works on mining, geology, mineralogy, and allied subjects; (2) works on other subjects, medical, religious, critical, political, and historical. In respect especially to the first division, and partially with regard to the others, we find three principal cases : (a) Works which can be authenticated in European libraries today ; (b) references to editions of these in bibliographies, catalogues, etc., which we have been unable to authenticate ; and (c) references to works either unpublished or lost. The following are the short titles of all of the published works which we have been able to find on the subjects allied to mining, arranged according to their present importance :-De Re Metallica, first edition, 1556; De Natura Fossilium, first edition, 15,46 ; De Ortu et Causis Subterraneorum, first edition, 1546; Bermannus, first edition, 1530 ; Rerum Metallicarum Interpretatio, first edition, 1546; De Mensuris et Ponderibus, first edition, 1533; De Precio Metallorum et Monetis, first edition, 1550 ; De Veteribus et Novis Metallis, first edition, 1546; De Natura eorum quae Effluunt ex Terra, first edition, 1546 ; De Animantibus Subterraneis, first edition, 1549. Of the " lost " or unpublished works, on which there is some evidence, the following are the most important:-De Metallicis et Machinis, De Ortu Metallorum Defensio ad Jacobum Scheckium, De Jure et Legibus Metallicis, De Varia Temperie sive Constitutione Aeris, De Terrae Motu, and Commentariorum, Libri VI. The known published works upon other subjects are as follows:-Latin Grammar, first edition, 1520; Two Religious Tracts, first edition, 1522; Galen (Joint Revision of Greek Text), first edition, 1525 ; De Bello adversus Turcam, first edition, 1528 ; De Peste, first edition, 1554. The lost or partially completed works on subjects unrelated to mining, of which some trace has been found, are:-De Medicatis Fontibus, De Putre¬dine solidas Partes, etc., Castigationes in Hippocratem, Typographia Mysnae et Toringiae, De Traditionibus Apostolicis, Oratio de rebus gestis Ernesti et Alberti, Ducum Saxoniae.

Jan 1, 1950

Table A-1. Number of underground coal mines and samples collected for underground occupations, 1988-92 [ ]

Jan 1, 1997

By R. V. Ramani, A. S. C. Owili-eger

A mass balance equation can be written for the unit block of Figure 7 for changes within the volume during time At as: [ ] where x and y are the coordinates; q is the flow across any surface; p is the density of the fluid flowing through the medium; qvol is the volumetric flowrate; @ is the medium porosity; and Ax and Ay are the dimensions of the block. The subscripts t and (t+At) denote time levels and At is the change in time. Writing this equation in nota- tional form and on rearranging, the following expression is obtained:

Jan 1, 1974

By C. B. Manula, R. L. Sanford, R. A. Rivell

PART I. FLOW CHARTS

Jan 1, 1974

The following advertisements show the contemporary view of the value of coal on a tract, usually as compared with farming advantages of several kinds. Fayette Gazette and Union Advertiser, February 10, 1798: "For Sale in Washington twp., Fayette Co., 211 acres of land whereon is a good new grist merchant mill, a good stone dam, and a house for the miller, about two acres of bottom, cleared and fenced, an excellent coal bank and saw-mill seat unimproved." Pittsburgh Gazette, March 19 and 26, 1802: Ads. offering for sale two properties, one of 38 acres, "together with a Coal Pitt and Lime Quarry, lying on the Monongahela side of Grant's Hill, and within one mile and a half of Pittsburgh," and the other two tracts of 700 acres on "Racoon creek, contiguous to which is a valuable limestone quarry, and a quarry of building stone, also plenty of stone coal." Pittsburgh Gazette, Oct. 8, 1802: A farm between Pittsburgh and Greensburg "with house, barn and a Smith shop-also, a fine sugar camp, and a Coal Bank within sight of the house," was offered for sale. The Farmers Register, Greensburg, Pa., March 13, 1802: An advertisement of a "plantation, six miles from Greensburg, there are two coal banks on it, one at each end of the place." The Commonwealth, Pittsburgh, Aug. 4,1805: A number of lots were laid off on Saw Mill Run, nearly opposite the first opening made on the Pittsburgh seam. They were from two to twenty acres each "and a great quantity of Limestone and stone coal." Pittsburgh Gazette, Aug. 9, Sept. 6, Sept. 27, Oct. 4, 1811; The Commonwealth, Aug. 19, 1811: Five tracts were advertised that contained coal. One had "fine springs and an inexhaustible mine of coal;" one, "excellent sugar camps, coal banks and limestone and a good mill seat;" one, "good sugar camps, an excellent coal bank and an elegant seat for a distillery;" another, a tract of 45,000 acres in Allegheny and Butler Counties affording "stone coal and iron ore, and seats for water works;" and the last a tract on Beck's Run, four miles from Pittsburgh "and a coal pit opened about one fourth of a mile from the river." The Mercury, Pittsburgh, April 8, Jan. 14, Feb. 11, 1813; Pittsburgh Gazette, April 16, Dec. 3, 1813: These tracts were advertised during the year in the vicinity of the city. One had "a good sugar camp, woodland and plenty of coal;" another, "a sugar camp and a coal bank on the premises;" while the others were "well timbered or well watered and had excellent stone coal." The Mercury, Pittsburgh, Feb. 2, 1814: A farm was offered for sale on the headwaters of Robinson's Run, in Washington County, four miles from Burgettstown, containing 60 acres, "a young bearing orchard,... a coal bank and a good sugar camp." Genius of Liberty and Fayette Advertiser, Uniontown, Pa., March 2, 1814, carried an advertisement of a sale of lots in the new town of Perriopolis; "the quantity and quality of the clay, sand and salt licks, near the premises, together with the timber and abundance of .stone coals The town of Perriopolis was situated upon a . farm at one time belonging to Washington.

Jan 1, 1942

By Rudolf E. Greuer, Linneas W. Laage, Xinton Chang

UNIT OF MEASURE ABBREVIATIONS USED IN MFIRE FT foot FT3/MIN cubic foot per minute LBM•MIN2/FT4 pound mass times minutes squared over feet to the fourth FT2/HR square feet per hour BTU/HR*FT*F British thermal unit divided by hours times fimes feet times degree Fahrenheit IN W G inches water gage FT3/MIN cubic feet per minute FT2 square feet FT3 cubic feet LBM, pound mass F Fahrenheit IN W G /CFM2 inches water gage per cubic foot per minute squared PERCENTAGE percent BTU/MIN British thermal unit per minute MFIRE BAT PROGRAM cls echo off echo MFIRE activated mfire0 echo Wait a moment for loading the program if EXIST zheng chg mfirel if EXIST zheng chg mfire2 if EXIST zheng chg mfire1 if EXIST zheng chg erase zheng chg if EXIST hang chg erase hang chg if EXIST yunzhi fan copy yaodong.ion+yunzhi fan yaodong ion if EXIST yunzhi fan erase yunzhi fan if EXIST xintan chg copy yaodong xin+xintan chg yaodong ion if EXIST xintan chg erase xintan chg if EXIST yaodong xin copy yaodong.xin mfire out if EXIST yaodong.xin erase yaodong.xin if EXIST net erase net echo Your output is saved in file MFIRE OUT MFIRE0 FOR PROGRAM CHARACTER•50 A OPEN (10,FILE='NET',STATUS='UNKNOWN',FORM='UNFORMATTED') NETWW=0 WRITE (10) NETWW OPEN (21,FILE='ZHENG CHG',STATUS='UNKNOWN',FORM='UNFORMATTED') A=) ' B=0.0 WRITE (21) A WRITE (21) A,B

Jan 1, 1990

By R. V. Ramani, R. Stefanko, G. W. Luxbacher

CALCULATION OF MINE HEAD LOSSES FROM ALTIMETER SURVEY DATA USBM PENNSYLVANIA STATE UNIVERSITY - MINERAL ENGINEERING DEPARTMENT USBM USBM USBM THIS PROGRAM CALCULATES PRESSURE LOSSES USING THE USBM METHOD GIVEN USBM IN USBH IC 7809 BY MCELROY AND KINGERY.1957. THE MAJOR DIFFERENCE USBM BETWEEN THIS PROGRAM AND THE CITED REFERENCE IS THE TREATMENT OF AIR USBM

Jan 1, 1977

By R. V. Ramani, R. Stefanko, G. W. Luxbacher

C THRM 1 C CALCULATION OF MINE HEAD LOSSES FROM ALTIMETER SURVEY DATA TURN 2 C PENNSYLVANIA STATE UNIVERSITY - MINERAL ENGINEERING DEPARTMENT THRM 3 C THRM 4 C THRM 5 C THIS PROGRAM CALCULATES PRESSURE LOSSES USING THERMODYNAMIC RELATION- THRM 6 C SHIPS BASED ON POLYTROPIC FLOW BETWEEN STATIONS. FOR REFERENCE SEE THRM 7 C "A NEW TREATMENT OF MINE BAROMETER SURVEYS" BY M. J. MCPHERSON IN THRM 8 C 'THE MINING ENGINEER' NO. 109, VOL. 129, P 23. THRM 9 C THRM 10 C THRM 11 C THRM 12 C IDENTIFICATION OF ARRAYS THRM 13 C NOTE THE PROGRAM HAS BEEN DIMENTIONED FOR FOURTY (40) DATA POINTS THRM 14 C BASEC(6;2) BASE INSTRUMENT TEMPERATURE CORRECTIONS THRM 15 C TRAVC(6,2) TRAVERSE INSTRUMENT TEMPERATURE CORRECTIONS THRM 16 C BASER(I) BASE INSTRUMENT READING THRM 17 C TRAVR(I) TRAVERSE INSTRUMENT READING THRM 18 C TDRY(I) DRY BULB TEMPERATURE AT TRAVERSE STATION THRM 19 C TWET(I) WET BULB TEMPERATURE AT TRAVERSE STATION THRM 20 C ELEV(I) ELEVATION AT TRAVERSE STATION THRM 21 C VEL(I) AIR VELOCITY AT TRAVERSE STATION THRM 22 C TBDRY(I) DRY BULD TEMPERATURE AT BASE STATION THRM 23 C BASC(I) BASE READING CORRECTED FOR INSTRUMENT TEMPERATURE THRM 24 C TRAV(I) TRAVERSE READING CORRECTED FOR INSTRUMENT TEMPERATURE THRM 25 C BBASE(I) TEMPERATURE CORRECTED BASE READING IN BAROMETRIC THRM 26 C PRESSURE THRM 27 C BTRAV(I) TEMPERATURE CORRECTED TRAVERSE READING IN BAROMETRIC THRM 28 C PRESSURE THRM 29 C BTRAVS(I) BAROMETRIC TRAVERSE READING CORRECTED FOR ATMOSPHERIC THRM 30 C CHANGES THRM 31 C RELHUM(I) RELATIVE HUMIDITY THRM 32 C ASW(I) AIR SPECIFIC WEIGHT TURN 33 C R(I) GAS CONSTANT FOR MOIST AIR THRM 34 C STPRES(I) STATIC PRESSURE CHANCE BETWEEN STATIONS (I) AND (1-1) THRM 35 C TOPRES(I) TOTAL PRESSURE CHANCE BETWEEN STATIONS (I) AND (I-1) TURN 36

Jan 1, 1977

By Thomas V. Falkie, R. Venkataramani

Table

Jan 1, 1972

By R. V. Ramani, A. S. C. Owili-eger

? THIS PROGRAM SIMULATES METHANE FLOWRATES THROUGH THE GOAL ? SEAM BY THE GAUSS-SEIDEL ITERATIVE TECHNIQUE. THE MODEL IS A TWO ? DIMENSIONAL SYSTEM. THE ITERATIVE FORM OF THE GAUSS-SEIDEL IS ? OBTAINED FROM A PARTIAL DIFFERENTIAL EQUATION OF FLOW BY CENTRAL ? FINITE-DIFFERENCING APPROXIMATION SCHEME ? NPRESS IS THE NUMBER OF SPECIFIED PRESSURES EXCLUDING ? RESERVOIR AND FACE PRESSURES ? NQUAN IS THE NUMBER OF SPECIFIED FLOW QUANTITY.... EXCEPT FLOW ? OUT OF THE FACE. THIS- QUANTITY CAN BE POSITIVE(INJECTION) OR ? NEGATIVE ( PRODUCTION) ? XPERM(I,J) I S THE DIRECTIONAL PERMEABILITY IN THE X-DIRECTION AT THE POINT (I,J) ? YPERM(I,J) IS THE DIRECTIONAL PERMEABILITY IN THE Y-DIRECTION ? AT THE POINT (I,J) ? RESEP' IS THE RESERVOIR PRESSURE ? FACEP IS THE FACE PRESSURE. THIS PRESSURE IS ASSUMED TO BE ? APPROXIMATELY ATMOSPHERIC ? LENGTH, WIDTH, AND THICK ARE THE ZONE OR MEDIUM DIMENSIONS * PUHL I S A DUMMY NAME FOR VISCOSITY ? DMAXI IS VARIABLE NAME FOR INITIAL MAXIMUM ERROR OF ITERATION ? DMAXF IS A VARIABLE NAME FOR FINAL MAXIMUM ERROR OF ITERATION ? NITER IS A VARIABLE NAME FOR STORAGE OF NUMBER OF ITERATIONS ? RAD IS A VARIABLE NAME FOR THE SPECTRAL RADIUS OF THE GAUSS¬ ? SEIDEL MATRI-X. THIS PARAMETER ALSO MEASURES THE RATE OF ? CONVERGENCE OF THE ITERATION ? KOUNT IS AN ITERATION COUNTER ? MAXIT IS THE MAXIMUM NUMBER OF ITERATION SPECIFIED BY THE USER # EPS IS THE MAXIMUM RESIDUAL ALLOWABLE ERROR-FOR CONVERGENCE

Jan 1, 1974

By David A. Monaghan, Kenneth R. Maser, Adi R. Gurdar, D. Randolph Berry

APPENDIX B - DEVELOPMENT OF FOAM-CONCRETE SLURRY MINE SEALANT 1. Introduction This appendix describes the results of an experimental development and laboratory evaluation of foam-concrete as a rapid setting, lightweight, self-supporting mine sealant material. Foam concrete, otherwise known as Aerated Concrete, is a form of lightweight concrete whose structure consists of air bubbles held together by a hardened cement mortar. Its principal applications are found in roofing, insulation, shock absorbing, and backfill. The air bubbles in foam concrete are formed either by chemical reaction in the wet, placed mortar, or by introducing a stable foam into the mortar during mixing. The mortar is usually a cement slurry with fine sand or fly ash as filler. Our attention focused on preformed foam concrete, since this is most adaptable to field applications. Equipment is available,* which simultaneously mixes and pumps a slurry of foam concrete. Such a slurry can be produced at a rate of up to 50 yards/hr and has been pumped in a 2-inch-diameter hose 1000-feet horizontally and 250 feet vertically up without significant bubble deterioration. One very attractive feature associated with the use of foam concrete concerns site logistics. Foam concrete can be generated with densities as low as 20 lbs/ft3, and hence the total number of

Jan 1, 1973

This paper "On Coal" was published in three issues of The Western Gleaner in 1814. Name of author is not given. This magazine was started by Cramer, Spear & Eichbaum, in Pittsburgh, Pa., in December 1813, and ran for about two years. Copies are very rare, and this one is made from an original in the Darlington Library, University of Pittsburgh. This is almost certainly the first general article on coal published west of the Allegheny Mountains, and one of the earliest in this country. ON COAL Its Natural History-Mining of Coal-Phenomena occasioned by Fire-damp-Method of Coking-Distillation of Tar from Pit-coal-Gas-light-Coal, a Manure I. NATURAL HISTORY OF COAL There are few productions of nature which present to the philosopher a wider field of investigation than pit-coal. A substance highly inflammable is found in the deep recesses of the earth, sometimes loaded with numerous superincumbent strata of hard rock, and extending frequently along with these strata through a vast expanse of territory. Though metals may be said to be inflammable substances, as they combine more or less rapidly with oxygen when placed under particular circumstances, yet the character of rapid combustion with disengagement of light and heat, seems to belong. principally to such substances as are derived either from the animal or vegetable kingdom. That this is probably the case with regard to coal we are further induced to believe, by the remarkable circumstance, that the chemical analysis of this natural production yields especially, though in various proportions, those materials which constitute essentially the vegetable. And if any thing was wanting to confirm, us in that opinion we might trace in a number of fossile substances the gradual transition of the vegetable into the state of mineral coal. This fact is so intimately connected with the natural history of coal, that we cannot think it superfluous to give it some farther development. Among the great number of principles which the chemist is capable of tracing in the vegetable kingdom, the presence of extract, resin and fibre seem to form the characteristical marks of plants.-If vegetable matter be boiled in water, and the water, after having been strained and filtered, be exposed for some time to the open air, a flocculent precipitate takes `place from every part of the liquor; which soon subsides to the bottom of the vessel containing it. This is the extract; altered, indeed, by exposure, and now no longer soluble in water, a change which is supposed to depend on the absorption of oxygen; and if, by any means the proportion of oxygen be increased, the extract gradually becomes of a darker color, blackens, and approaches to the state of charred wood.

Jan 1, 1942

By Herbert Clark Hoover, Lou Henry Hoover

As stated in the preface, the nomenclature to be adopted for weights and measures has presented great difficulty. Agricola uses, throughout, the Roman and the Romanized Greek scales, but in many cases he uses these terms merely as lingual equivalents for the .German quantities of his day. Moreover the classic language sometimes failed him, whereupon he coined new Latin terms adapted from the Roman scale, and thus added further confusion. We can, perhaps, make the matter dearer by an illustration of a case in weights. The Roman centumpondium, composed of zoo librae, the old German ceniner of 100 pfundt, and the English hundredweight of 1112 pounds can be called lingual equivalents. The first weighs about 494,600 Troy grains, the second 721,900, and the third 784,000. While the divisions of the centumpondium and the centner are the same, the Libra is divided into 12 unciae and the pfundt into 16 unizen, and in most places a summation of the units given proves that the author had in mind the Roman ratios. However, on p. 509 he makes the direct statement that the centumpondium weighs 146 librae, which would be about the correct weight if the centumpondium referred to was a ceniner. If we take an example such as " each centumpondium of lead contains one uncia of silver", and reduce it according to purely lingual equivalents, we should find that it runs 24.3 Troy ounces per short ton, on the basis of Roman values, and 18.25 ounces per short ton, on the basis of old German. If we were to translate these into English lingual equivalents of one ounce per hundredweight, then the value would be 17.9 ounces per short ton. [ ]

Jan 1, 1950