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By D. K. Crampton

THE study of copper alloys of the age-hardening type has received considerable attention, and, among the alloys which the authors have considered, those containing small amounts of nickel and phosphorus as essential constituents seem especially interesting. Such alloys have attractively great capacity for being hardened and also have relatively high electrical and thermal conductivity in the hardened state. In addition, it has been found that the increase in hardness and strength imparted by aging can be greatly augmented by cold-working, so that axcellent combinations of conductivity and strength are obtainable. In view of the possible importance of the alloys, it was considered desirable to investigate the solubility relationships in the copper-rich portion of the copper-nickel-phosphorus system. This paper presents some of the results obtained in this investigation to date and also gives properties of typical alloys that appear to be of commercial interest.

Jan 1, 1940

By Walter Barnum

AS a member of the Institute and as the president of the National Coal Association, I come before you today in a dual role. As an Institute mem-ber I welcome the opportunity to make complimentary reference to the growing support which bituminous coal operators are giving to programs looking to the advancement of the engineering profession, and to suggest plans whereby these programs may be enlarged to mutual advantage. As a representative of the bitu-minous industry, it gives me special pleasure to express the appreciation of the industry for the services ren-dered to it by members of your profession. Needless to say, there is a close relationship between the engineer and the coal operator. With increasing frequency and in the interests of the industry, the engineer is becoming more of a factor in the business of producing coal. I need look no further for an out-standing example of this encouraging trend than to Samuel A. Taylor, who not only is a bituminous coal producer but also has risen to such eminence in the engineering profession as to have been chosen the head of this great body of technical men, the American Institute of Mining and Metallurgical Engineers. There are many coal operators whom I might mention as having achieved distinction in the engineering world, such as Howard. N. Eavenson, chairman of the .Coal and Coke Committee. And I would be guilty of a serious .oversight if I failed to make reference to Eckley B. Coxe, one of the founders of the Institute in 1871, a prominent anthracite operator and credited with several important inventions. While it is true that a. considerable number of execu-tives of coal-producing companies in this country came up through the engineering ranks. the proportion of mine executives in England, France, and Germany who are graduate engineers is much larger than it is in the United States. In France all members of the staff are engineers and such is the case in Germany up to the owner of the mine. In Germany the owner is not so frequently an engineer as is the rule in France.

Jan 3, 1927

By Rossiter W. Raymond

The lead-mining industry of Missouri, as of other parts of the Mississippi basin, appears to have been paralyzed by the shock of competition with the mines of the States and Territories further west. It is difficult for establishments working galena ores, too poor in silver to pay for extracting it, to compete with the producers of the argentiferous carbonates of Utah and Colorado, who look upon their lead as a by-product of little value, and are satisfied if it pays the charges of transportation, or the loss in smelting for silver. But simultaneously with this depression in the lead-mining of the Mississippi States, the development of new zinc deposits has caused a notable revival in the mining of zinc ores. There has recently been a sndden and strong rise in the price of' spelter, which, though probably to a large extent temporary in character, has given important encouragement to prospectors and miners. Apart from the general recovery of business in the United States from the prostration of the past six years, the cause of the advance in spelter has been the falling off in production, resulting from the shutting clown of several leading Western works,—the Martindale and Carondelet works, at St. Louis, and the Consolidated Company in Kansas. At the same time, the principal works at La Salle, Ill., were undergoing repairs, and produced less than usual, while the sheet-mill of Matthieson & Hegeler, at that place, was running as usual; so that this concern, ordinarily a large producer, entered the already depleted market as a buyer. These causes are in their nature transitory, and it is quite likely that spelter will be superabundant in a few months. Having lately received from a well-informed Missouri correspondent some samples of the zinc ores and a general account of the ore deposits of Southwest Missouri, I have thought that it might interest the Institute to examine these specimens, and to hear such brief statements concerning the region as I am able, upon good authority, though without the aid of any personal investigation 011 the spot, to give. The zinc-bearing territory in Southwest Missouri appears to be very extensive; that is to sap, zinc ores have been mined during the last year at various points throughout a district extending from the eastern edge of Kansas, west of Joplin, to a line some 50 miles east

Jan 1, 1880

By Rossiter W. Raymond

THE lead-mining industry of Missouri, as of other parts of the Mississippi basin, appears to have been paralyzed by the shock of competition with the mines of the States and Territories further west. It is difficult for establishments working galena ores, too poor in silver to pay for extracting it, to compete with the producers of the argentiferous carbonates of Utah and Colorado, who look upon their lead as a byproduct of little value, and are satisfied if it pays the charges of transportation, or the loss in smelting for silver. But simultaneously with this depression in the lead-mining of the Mississippi States, the development of new zinc deposits has caused a notable revival in the mining of zinc ores. There has recently been a sudden and strong rise in the price of spelter, which, though probably to a large extent temporary in character, has given important encouragement to prospectors and miners. Apart from the general recovery of business in the United States from the prostration of the past six years, the cause of the advance in spelter has been the falling off in production, resulting from the shutting down of several leading Western works,-the Martindale and Carondelet works, at St. Louis, and the Consolidated Company in Kansas. At the same time, the principal works at La Salle, Ill., were undergoing repairs, and produced less than usual, while the sheet-mill of Matthieson & Hegeler, at that place, was running as usual; so that this concern, ordinarily a large producer, entered the already depleted market as a buyer. These causes are in their nature transitory, and it is quite likely that spelter will be superabundant in a few months. Having lately received from a well-informed Missouri corres¬pondent some samples of the zinc ores and a general account of the ore deposits of Southwest Missouri, I have thought that it might interest the Institute to examine these specimens, and to hear such brief statements concerning the region as I am able, upon good authority, though without the aid of any personal investigation on the spot, to give. The zinc-bearing territory in Southwest Missouri appears to be very extensive; that is to say, zinc ores have been mined during the last year at various points throughout a district extending from the eastern edge of Kansas, west of Joplin, to a line some 50 miles east

Jan 1, 1880

By R. W. Raymond

(Reprinted With some additions and changes from the Engineering and Mining Journal)] THE death of Prof. Samuel Benedict Christy on the 30th of November,. at the age of 61 years, cuts short a brilliant and influential professional career. He was born in San Francisco, Aug. 8, 1853, and was graduated as Bachelor of Philosophy at the University of California in 1874. For the five years that followed, he studied mining and metallurgy as a post-graduate in the same institution, serving also as instructor in analytical chemistry, and becoming in 1879 instructor in mining and metallurgy¬a position which he held until 1885. During this period he became known also by his contributions to technical literature, the earliest of which, perhaps, was his report on the Monte Diablo coals (in 1875); but the first which drew my attention to him was an exceedingly able discussion (in 1879) of the genesis of the quicksilver deposits of California, in which he followed with much acuteness and originality the lead of Professor Becker, who had been teaching at the University of California. The notion of the thermo-aqueous formation of such deposits was then new; and the laborers in a field now familiar to every student deserve the credit due to pioneers. For some years the subject of quicksilver seems to have occupied much of Christy's attention. In 1877, he described the mines and works at Almaden, Spain; in 1884, the Imperial quicksilver works at Idria, Austria; in 1889, the New Almaden mines of California. But his great work was the creation of the school, of mining and metallurgy at the University of California, which may be said to have begun with his occupancy of a full professorship of these branches. It is not necessary here to recount the early difficulties and perils of the University, and its long struggle for academic independence of political control or interference. The battle is over, and the institution is now upheld by the intelligent loyalty of the citizens of California, without regard to party. But while the issue was uncertain, the development of special schools of applied science was scarcely practicable. Doctor Becker and William Ashburner had given up the school of mines as a hopeless task when Christy, younger and less experienced, took it up. As he wrote me in February, 1901-

Jan 4, 1915

By F. Milton Lewis, Roshan B. Bhappu, James L. Coburn

FOREWORD-To comminute is to pulverize, but, in mining technology, "comminution" includes all the multiple crushing and grinding operations on ore, rocks, coal, and certain other bulk materials. The primary objective of this two-part article series is to provide the reader with basic information and guidelines for designing comminution systems. Part One is confined to ore processing operations, where size reduction is required to liberate the valuable minerals so that they may be concentrated and recovered. Part Two will illustrate various design techniques through practical examples.

Jan 9, 1976

By Anderson, Burton E.

FOR several centuries diamond mining has been an adventurous, profitable and enticing industry in Brazil. Some of the world's most valuable diamonds have been found in this country. Two of the most famous stones are the "Estrella do Sul" (Southern Star), weighing 2541/ karats, and the "Branganca," weighing 1680 karats in the rough and 367 karats cut. For a great number of years the stones extracted and sold were mostly the white diamonds used for jewelry. Within the last thirty years black diamonds have been developed as an abrasive cutting material and in these black diamonds the State of Bahia, Brazil, has a monopoly of the world supply. Carbons, as they are commonly called, are being used for core-drilling, polishing, cutting, wire-drawing, and vari-ous other applications in which such a hard substance is required. Bernard Bandler & Sons, of New York City, have selected, graded and delivered these carbons to the United States markets.

Jan 1, 1932

Jan 1, 1892

By R. Schempp

DURING the past few years, general interest in the steel-producing and steel-consuming industries has been centered on the so-called "inherent characteristics" of steels. While often vaguely described, these char-acteristics are known to influence the response to heat-treatment and the hardening characteristics of the material. Although most of the recent papers and discussions have associated the "inherent characteristics" with the austenitic grain size and empha-sized the importance of it, comparatively little is known of the variables that may affect the size of the austenite grain. The work to be described in this paper was carried out during the course of a study on the inherent characteristics of tool steel containing one per cent cart on. The discrepancies encountered in the determination and classification of the austenitic grain size led to in investigation of some of the variants influencing the austenitic grain size as determined by standard methods.

Jan 1, 1937

By Clemens Jones

THE analytical history of phosphorus in its relation to the metallurgy of iron is an interesting study, the progress of which runs parallel with the development of the greatest industry in the world. Without the means of finding out how much phosphorus crude pigiron contained, the Bessemer steel process would have been impossible. To do this was originally tedious and slow work. On the other hand, the " direct" process of to-day, as well as the various special processes for steel or iron, have demanded the utmost rapidity in the operations of analytical chemistry. In general, any rapid process for the conversion of unrefined metal into a product of standard composition depends upon the rapidity of some accurate means employed to control it. Moreover, in our modern practice, it is not improbable that the differences in physical properties among the various makes of iron or steel are affected, if not produced, by the use of different methods of analysis. Recourse is always had for correction to the ((standard methods," but I incline to think that these methods are susceptible to error. It is very certain that the system of duplicates would not be resorted to, if the fact were otherwise. Even when duplicated, under the most careful and skilful manipulation, these standard methods produce disagreements. In proof of statements like these, which may sound. heretical, I hope, further on, to cite some evidence worthy of attention. I do not now mean to lay claim to the distinction of discovering the ultimate corrective. That result will come, no doubt, in. time, as the product of the experience of many workers. In the case of phosphorus, as of the other ingredients of iron or steel, a great deal has been done to accommodate the methods of analysis in rogue to the growing necessity for more rapid procedures: Much of this work has concerned what might be called the incidents of method. There is no better example of the accumulation of these incidental improvements than the work done on phosphorus; and I

Jan 1, 1890

By William P. Blake

IN southern Arizona and in Mexico the word caliche is in general use to denote a calcareous formation of considerable thickness and volume found a few inches, or a few feet, beneath the surface-soil, upon the broad, dry, gravelly plains and mesas. In western South America the same name is applied to the beds of crude soda-niter (Chili saltpeter). While these deposits of South America and of Arizona are totally different in composition, and have nothing in common, except that both occur in layers in the strata near the surface, it is probable that an explanation of the origin of the calcareous beds may equally apply to the accumulation of sodaniter and other deposits of easily soluble minerals. But the name, taken from the Latin, Calx, is more appropriate to the calcareous beds than to those of niter. Caliche has a wide distribution in the arid regions of Arizona and Mexico. It is usually hidden from view by a slight covering of soil; but it is easily found by digging, and is often revealed by a flow of water during heavy rains. It is practically a continuous sheet, from three to fifteen feet thick, of earthy limestone or travertine, through which the smaller plant-roots find their way with difficulty. The presence of this comparatively impervious layer of cemented earth may account for the absence of trees, or of the larger shrubs, over wide areas. The shrubs which gain a foothold are those whose roots do not extend far downwards, and which do not require much water, such as Larrea Mexicana and the [Cactaceoe]. If trees are planted, it is necessary to break up the caliche by blasting, or at least to crack the upper layers. The top of the caliche is more dense and solid than the lower portions. The surface of this top crust, or layer, is comparatively smooth, though undulating, while the lower portions, under the crust, are irregular, cavern-

Jan 1, 1902

By David Donoghue

The efforts towards curtailment in Texas have been successful, despite the great area covered and the wide variety of oils offered. There are, of course, examples of noncooperation, perhaps of absolute indifference, but of such it can at least be said that they have benefited from the restrictions imposed elsewhere. The prevention of waste is the legal background for proration in Texas. The legislature in 1899 passed the first laws to prevent waste of oil and gas. Subsequent legislatures, especially those of 1905, 1913 and 1917, undertook to regulate the development and transportation of oil and gas to the end that waste would not occur. In 1917 a constitutional amendment was submitted to the people, providing that natural resources of the state should be conserved and requiring that the legislature pass appropriate laws. This amendment was adopted, and the Acts of 1919 and 1929 have been passed, and these have had the effect of making a rather elaborate plan for the conservation of oil and gas and their protection against waste. In 1930 the new pipe line act, designed to provide for ratable purchases, was passed. The administration of these laws has been placed under the Oil and Gas Division of the Railroad Commission of Texas. The Commission can only consider actual waste, not economic waste. The various proration plans in use in the state, while differing in efficiency, are based on engineering principles. In the proration of flush fields, the limiting of drilling and the steady production of oil under restriction are the principal points involved, and these methods are entirely different from those which prevailed until recently in the Oklahoma City Pool, where apparently nothing beyond the restriction of production on a time basis was attempted. There is little to say in defense of proration in the older and smaller producing areas in Texas, except that, inasmuch as the market outlet has been reduced, proration distributes the market ratably among the producers. Work of Central ProRation Committee In the early part of 1930 the overproduction situation became acute, and, at the request of the Railroad Commission, a committee was formed composed of representatives of the Texas Division of the Mid-Continent

Jan 1, 1931

By E. Swartzman

THE free-swelling index, a numerical value for the free-swelling properties of coal, is being used to an increasing extent in specifying coal for burning in various types of equipment. The empirical standard ASTM method for determining this index uses, as a source of heat, a gas burner which requires frequent calibration because gas pressures are not constant, relatively small changes in gas pressure resulting in rather wide variations in the temperature attained in a crucible and thus in the resultant size of the coke button. Furthermore, the quartz crucibles specified for the test are not standard equipment, and relatively small variations in dimension and wall thickness from those specified often result in rather wide variations in the resultant size of the button.

Jan 10, 1951

By Thomas Egleston

DURING the year 1873, my attention was called to the frequent accidents, resulting from the breaking of rails, on the different railroads in this' country, and I was requested to investigate the subject. The plan of investigation I proposed was to ascertain, in as many cases as possible, the exact hist* of broken rails, both in this country and in Europe; to collect information in Europe relating to the tests which rails used there were required to undergo, and to experiment upon the pieces of rails broken on the road, with a view to ascertain whether their fracture was due to their chemical constitution, bad manufacture, to a reduction in strength owing to temperature, or to physical changes in the constitution of the rail. The investigation was commenced by the collection of statistics, and for this purpose I spent several months in Europe, collecting information on the subject of broken rails, as well as the life of iron and steel rails generally, and inquiring into the systems of purchasing and of testing them employed by the railroads there, intending, on my return, to make a series of analyses of rails broken, both in this country and in Europe; to ascertain, if possible, how far great cold had an influence on the fracture; to examine whether the rail broken, either on the road or afterwards, underwent, at or about the fracture, any physical change, and to make a series of experiments on the strength of rails manufactured in the United States or sold in the American market. Unfortunately, the panic of 1873 came on, just before my return from Europe, and prevented the carrying out of the larger part of the plan proposed; as, however, I had collected in the meantime, a large number of statistics of different kinds from all parts of Europe, and had made a number of interesting experiments and investigations, I have thought it would be worth while to communicate some

By T. Egleston

DURING the year 1873, my attention was called to the frequent accidents, resulting from the breaking of rails, on the different railroads in this country, and I was requested to investigate the subject. The plan of investigation I proposed was to ascertain, in as many cases as possible, the exact history of broken rails, both in this country and in Europe; to collect information in Europe relating to the tests which rails used there were required to undergo, and to experiment upon the pieces of rails broken on the road, with a view to ascertain whether their fracture was due to their chemical constitution, bad manufacture, to a reduction in strength owing to temperature, or to physical changes in the constitution of the rail. The investigation was commenced by the collection of statistics, and for this purpose I spent several months in Europe, collecting information on the subject of broken rails, as well as the life of iron and steel rails generally, and inquiring into the systems of purchasing and of testing them employed by the railroads there, intending, on my return, to make a series of analyses of rails broken, both in this country and in Europe; to ascertain, if possible, how far great cold had an influence on the fracture ; to examine whether the rail broken, either on the road or afterwards, underwent, at or about the fracture, any physical change, and to make a series of experiments on the strength of rails manufactured in the United States or sold in the American market. Unfortunately, the panic of 1873 came on, just before my return from Europe, and prevented the carrying out of the larger part of the plan proposed ; as, however, I had collected in the meantime, a large number of statistics of different kinds from all parts of Europe, and had made a number of interesting experiments and investigations, I have thought it would be worth while to communicate some

Jan 1, 1875

By Walter Harvey Weed

introduction,.............715 "WHY ORE-DEPOSITS ARE Common about Igneous Contacts,. ..716 Outline of a Genetic Classification OF Ore-Deposits,.. .. 717 Ores of Igneous Origin.. .. .. .. .. 717 Igneous-Emanation Deposits........ 719 Fumarolic Deposits..........719 Gas-Aqueous Deposits.........719 Deposited by Meteoric Waters ........720 Contact Metamorphic Deposits.........720 Classes of Deposits......... 731 Contact Zones..........722 Character of Gangue..........722 Character of Ore-Deposit.........723 Literature...........724 Geographic Distribution.........724 Copper-Deposits—Cananea Type......725 British Columbia—Boundary District....725 Mexico..........727 Germany.......... 729 Gold.Deposits,...........731 Bannack Type.........732 Elkhorn..........733 Similkameen.........734 Changes in Rocks due to Contact Metamorphism....735 Changes in Mass. Volume. and Mineral Composition... 736 Genesis of Contact Metamorphic Deposits..738 Cause of Contact Metamorphism..738 Permanence in Depth............744 Mineral Veins near Igneous Contacts........745 Conclusions..............746 Introduction. This paper deals with certain ore-deposits whose structural features or mineral contents (or both) result. directly or indirectly. from igneous intrusions and their afier-effects. It is largely a discussion of contact metamorphic ore-deposits based upon the physical changes in rocks due to contact action. It involves a classification of ore-deposits only so far as is abso-

Jan 1, 1903

Oil-well driller with extensive experience in this line of work. Location, Bolivia, South America. Salary depends on experience. R.-789. Mining Engineer, with geological knowledge, who can locate suitable spots for drilling oil wells. Location, Bolivia, South America. Salary depends on man. R-788. Construction Engineer, mechanical or civil engineer with experience in installing oil plants for foreign field. Must be able to install entire equipment including tanks, piping, buildings, etc. Salary depends on experience. R-782. Geologist, competent petrographer for micropetrographic work and training of two assistant students under the direction of the Director of a Geological Institute. Engagement is for six months with option on the part of the Director for an equal period: Location, Mexico. Salary, 450 pesos Mexican gold ($225 per month). R-765. Operating Mechanical Electrical Engineer, with extensive experience in charge of the maintenance, repair, and betterment of all mechanical and electrical equipment on mining operations. Desirable that the man have had this experience in connection with phosphate mining. Applicant must be competent to direct shop repairs on motors and generators, including rewinding, the building and maintenance of transmission lines, etc. Must also have ample machine-shop experience to enable him to direct repairs of light locomotives, steam shovels, brown hoists, caterpillar tractors, and auto trucks. Duties will include the betterment and maintenance of phosphate-rock washers and rotary-work dryers. The applicant must also be competent to conduct efficiency tests on all such equipment and be enabled to interpret data collected. Splendid opportunity for the right type of man. Climate and living conditions excellent. The company will furnish house rent free, including light .and water. Location, Florida. Salary depends on experience. R-854.

Jan 7, 1919

By Barnabas Bryan

During the boom period of 1928 and 1929, several oil companies took advantage of high security prices to sell stocks, thereby securing money for the company very cheaply. Few if any of those companies realized that the money received was not at all cheap in view of the fact that it was for investment in fixed assets at inflated prices. Suppose a company borrowed twenty millions of dollars to expand its marketing facilities during the boom. It diluted its capital and acquired fixed property which could not earn its interest requirements during the following deflation and therefore consumed income from other company activities. The company also had to stand the deflation in the capital value of all the property it bought. Since the mistaken expansion during the boom accelerated the decline in net income during deflation, the financial position of the company was harmed in proportion to the amount of that expansion. Thus the company was unable to get money to buy fixed assets in the depression when all property is cheap. The same condition holds for the company that sold common stock for the purpose of developing potential production in a newly discovered oil field. Regardless of what the ultimate value of the new field may be, potential production does not increase the net income of the company. The difficulty of meeting the enlarged dividend requirements due to the increased number of shares outstanding impairs the financial position of the company during deflation in some relation to the probability of decreased dividends. This company also is not in a position to expand during the depression when properties and companies can be bought for a fraction of their real value. Expansion of fixed assets during boom times has been the ruin of many otherwise good companies. Some of those which most extensively bought property during the post-war boom have not yet recovered. A number of cases could be cited in sugar, leather, fertilizer and wool. This does not seem to be governed by the quality of the property bought, for examination shows the assets to have been of individual high quality in many cases. When recovery is long deferred it is likely to be true, as in sugar or textiles, that the industry has a large "potential" capacity for overproduction.

Jan 1, 1931

By Joshua E. Clayton

THIS remarkable gold and silver bearing district is situated on the middle fork of Boise River, in Alturas County, Idaho Territory, about eighteen miles north of Rocky Bar, and sixty-five to seventy miles, as the crow flies, east of Boise City, the capital of the Territory. This district lies in the very heart of one of the most wild and mountainous regions of Idaho. For many miles in every direction nothing can be seen but bold granite mountains, with deep narrow gorges cutting into their sides in every direction, rendering them almost inaccessible except to the hardy mountaineer and adventurous prospector. The mountain sides are covered, in most part, by dense forests of pine, fir, and spruce timber. In every canon there are clear streams of pure running water that empty into the principal forks of Boise River. The only line of approach to this mountainous region at present is from the southwest, by way of Rocky Bar, the county seat of Alturas County, to which place there is a good wagon-road. From thence to Atlanta City, eighteen miles, the road, or pack-trail, passes over the high, steep range that separates the south and middle forks of Boise River. During severe winters this line of approach is closed up by deep snows for months at a time, thus leaving the district isolated, in the bosom of the grand old mountains. The geological formation is granite, of a coarse, friable texture, and in many places is traversed by numerous dikes of syenite, and three or four varieties of porphyry, which cut through the granite in easterly and westerly directions. The metal-bearing veins also have an easterly and westerly trend, but are occasionally intersected by the dikes. The largest number of the gold and silver lodes are confined to a

Jan 1, 1877

By Joshua E. Clayton

This remarkable gold and silver bearing district is situated on the middle fork of Boise River, in Alturas County, Idaho Territory, about eighteen miles north of Rocky Bar, and sixty-five to seventy miles, as the crow flies, east of Boise City, the capital of the Territory. This district lies in the very heart of one of the most wild and mountainous regions of Idaho. For many miles in every direction nothing can be seen but bold granite mountains, with deep narrow gorges cutting into their sides in every direction, rendering them almost inaccessible except to .the hardy mountaineer and adventurous prospector. The mountain sides are covered, in most part, by dense forests of pine, fir, and spruce timber. In every canon there are clear streams of pure running water that empty into the principal forks of Boise River. The only line of approach to this mountainous region at present is from the southwest, by way of Rocky Bar, the county seat of Alturas County, to which place there is a good wagon-road. From thence to Atlanta City, eighteen miles, the road, or pack-trail, passes over the high, steep range that separates the south and middle forks of Boise River. During severe winters this line of approach is closed up by deep snows for months at a time, thus leaving the district isolated, in the bosom of the grand old mountains. The geological formation is granite, of a coarse, friable texture, and in many places is traversed by numerous dikes of syenite, and three or four varieties of porphyry, which cut through the granite in easterly and westerly directions. The metal-bearing reins also have an easterly and westerly trend, bat are occasionally intersected by the dikes. The largest number of the gold and silver lodes are confined to a