858 THE COLLIERY GUARDIAN. April 26, 1918. BOOK NOTICES. Mathematics for Engineers. By W. N. Rose. The D.U. Technical Series, Part 1. pp. 509. 8^ in. x 5^ in. 257 figs. London, Chapman and Hall Limited, 1918. Price 8s. 6d. net. The Directly Useful Technical Series is intended to occupy a midway position between the theoretical and the practical. The application of this principle to mathematics has been achieved by making the information, problems and exercises of a directly useful character, but at the same time not withholding a proper amount' of theoretical explanation. At the same time, a certain amount of previous knowledge of arithmetic and algebra is assumed. The student plunges at once in medias res, and before the end of the first chapter he is introduced to indices and the use of logarithms. The next stage carries him through equations, including quadratics, surds, and cubic equations. Passing over the next chapter on mensuration of plane and solid figures, the student is then made familiar with the use of graphs and the theory of maximum and minimum values. The treatment of this part of the subject is particularly interesting, and the examples selected for exercise are such as will appeal especially to engineer classes. It will probably be a revelation to many students of mathematics to discover what wide powers are gained by a sound knowledge of even elementary mathematical processes. Taking, for instance, one example at random, viz., to find the speed of a belt at which the greatest horse-power is transmitted, V / rp W V- \ assuming the relation H.-P. = ( 1 “ J, how many public school boys would recognise the simplicity which this problem assumes when the curve is plotted in the ordinary way? One gains a strong conviction, on reading these pages, that the presentment of the subject is both admirable and illuminating. Let us give . one further instance, viz., the use of hyperbolic functions. How many schoolboys, even amongst those who arrive at the stage of reading higher mathematics, really under- stand what hyperbolic functions are, and still less of what practical uses they can be? Here, however, we find the whole thing in a nutshell, i.e., within the compass of a couple of pages. No student with even the rudi- ments of a sound mathematical training could fail to grasp the significance of the equation y = cosh x, in calculating the fall in voltage of a long transmission line, or a hundred other problems involving the equation to a catenary. We are convinced of the great value of this text book. The author is clearly on the right line, so far as the needs of the average engineering , student are concerned. We shall look forward with interest and pleasure to the appearance of Part 2, which will embrace the practical applications of the calculus, and such abstruse questions as harmonic and vector analysis. LABOUR AND WAGES. South Wales and Monmouthshire. The clerks at Ebbw Vale, members of the National Union of Clerks, gave a month’s notice terminating their engagements, and this expired on Saturday last, but upon its being reported that the matters in dispute were going to arbitration, it was resolved to suspend the operation of the notices for 7 days. The Ebbw Vale Company had agreed to this, and the clerks resumed work on Monday morning. Really the difficulty was as to the form in which arbitration should take place upon a demand for increased war bonus. The miners’ executive, at a meeting in Cardiff on Saturday, under the presidency of Mr. J. Winstone, received a deputation from the workmen at Nine Mile Point Colliery, who sought assistance in dealing with a dispute, the colliery having been idle all the week. Two representatives were appointed to seek an interview with the management and endeavour to effect a settlement. A report was presented concerning the existence of two lodges at Llanbradach Colliery, it being argued that there should be only one lodge, and that the Caerphilly men should constitute a sub-lodge. This view was endorsed' by the executive as a whole, who formally confirmed the position in that form. Upon the question arising as to whether any labour demonstration should take place on May Day, it was resolved that no steps should be taken to have a general holiday for that purpose during the war, the council in this respect following the precedent since outbreak of hostilities. The executive granted permission to Rhymney Valley district colliers to tender notices in support of a man who had been dismissed, and whose reinstatement was sought, it being considered that the man had been sufficiently punished. As there had been some change in the mode of working at Bedwellty Colliery, and the executive were asked to intervene, it was decided to bring the matter before the Conciliation Board. North of England. The accountants’ certificate of the average selling price of coal in Northumberland for the three months ended February last is to the effect that the average price was 18s. 0*21d. per ton. The price for the previous three months was 17s. l-07d., so that the latest ascertainment shows a rise of ll-14d. per ton. The Wages Committee of the Northumberland Miners’ Association comments :— “ Had the sliding scale been in operation, the percentage of wages corresponding to the 18s. 0-21d. would have been 123, instead of the 120 which we now have. As explained in our previous report, prices fell during last year con- siderably below what would, under the sliding scale, have given 120 per cent, on wages, but, owing to an arrange- ment with the Coal Controller, percentage on wages was not reduced below that figure. Moreover, clause 7 of the War Wage Agreement also prevents the percentage being raised on this occasion.” Having had the question of the wages of surface labour at the pits referred to it by the executive committee, the Wages Committee of the Northumberland Miners’ Asso- ciation, haying fully considered the matter, suggests to the executive the desirability of placing on the agenda of the annual council meeting the motion: “ That we ask the colliery owners of Northumberland for a substantial increase in basis wages of all classes of datal men work- ing in. and about the mines of the county.” The Wages Committee also expresses approval of the arrangements made by the association’s agents and those of Durham, to hold a series of joint meetings of committees for the purpose of discussing questions of common interest to both associations. At the April meeting of the Northumberland Coal Trade Joint Committee, the Walker miners applied for rank prices (score) to be paid for all putters, for an increase of the weight allowance for laid-out prices (present allow- ance, 21 lb., 3d. fine), and for a starting price for putters when they had to put part of a shift. These applications were withdrawn, as the pit is now laid idle and the men discharged. An application from the same lodge for a day’s wage for a putter who had to come out-bye when a hewer refused to let him work double and the deputy told him he had no other work for him to do was granted. The workmen at the Edward Pit, Wallsend, asked to be paid 6d. per shift per man for casting coals in Bensham Seam when the tub was 6 ft. or more from the coal face at the commencement of the fore-shift on any day, and also that the county average rate of pay should be paid to any coal hewer who was requested to work shift work. These claims were allowed. Messrs. U. A. Ritson and Sons Limited, owners of Burnhope and South Pontop Collieries, have presented 392 of their workmen with medals for regular working during the past 12 months—gold medals for those who had lost no time, silver for those who had lost two days only, and bronze for those who had lost not more than three. Federated Area. Four hundred miners who have been on strike for nearly a week at Watnall Colliery, Nottinghamshire, because the management wanted to retain a single young man who had been rejected by the Army authorities, returned to work on Monday. THE FREIGHT MARKET. The volume of outward chartering done continues to be very much limited by reason of the lack of neutral tonnage on offer. Thus, on the north-east coast, although the collieries are busier than at any earlier period since war commenced, and shipments in requisitioned steamers are moving off merrily, business for neutral destinations is but small. Most of the fixtures reported are for Scandinavian destinations, just as was the case during the previous week. Thus, Christiania has been twice done at 150 kr., Gothenburg once at 165 kr., and Halmstad once at 155 kr. Gothenburg, it will be observed, has advanced by 5 kr. Rates for other destinations remain at the following approximate figures :—Bilbao or Santander, 300s. to 310s.; Lisbon, 115s.; Oporto, 125s.; Gibraltar, 100s.; Port Said, 200s.; Huelva, 420s.; and Barcelona, 440s., all for Tyne loading. No business in any of these directions has been reported this week. At South Wales, all the transactions recorded are for French Atlantic destinations, at the scheduled figures. There is a good deal of business offering for neutral ports—as in the case on the north-east coast also—but lack of neutral tonnage bars the way to business. At the Clyde, a fixture for Gibraltar at 105s. is reported. At the Mersey, a vessel for the River Plate has been taken up at 120s. Homewards, the River Plate to the United Kingdom is quoted at the advanced rate of 225s. from the lower ports, with from 25s. to 30s. more asked for French Atlantic discharge. At the United States, heavy grain tonnage is in active request from the Northern Range to the United Kingdom at 50s., with 57s. 6d. for Western France, 75s. for the French Mediterranean, and 77s. 6d. for West Italy. On net form basis from Northern Range, 230s. is obtain- able for the United Kingdom, 260s. for French Atlantic, and 360s. for West Italy. Virginia to United Kingdom with coal is mentioned at 80s. Far Eastern markets are very firm. Mediterranean and Bay ore ports have a big demand for tonnage and rates are very steady. Tyne to Christiania, 1,500 and 1,700, 150 kr.; Dieppe, 300, 56s., coke; Gothenburg, 1,000, 165 kr.; Halmstad, 2,000 155 kr.; London, 4,000, 17s.; and Treport, 700, 46s., coke. Cardiff to Bordeaux, 1,800 and 5,500, 69s., neutral; Caen, 500 and 700, 48s., neutral; Havre, 900, 47s. 3d., neutral; and La Pallice, 2,500, 61s. 6d., neutral. Glasgow to Gibraltar, 105s. Swansea to Trouville, 600 and 700, 48s., neutral; Caen, 1,100 and 1,200, 46s. 6d., neutral; and Tonnay Charente, 2,100, 61s. 6d., neutral. Liverpool to River Plate, 5,000, 120s., neutral. Later.—The following additional fixtures have been arranged :— Tyne to Gothenburg, 1,900, 160 kr.; 2,200, 163 kr.; and Halmstad, 1,800, 165 kr. Cardiff to Bordeaux, 2,200, 69s., neutral; and Rouen, 1,200, 48s. 9d., neutral. ’ Swansea to Caen, 800, 48s., neutral. North-East Coast to River Plate, 5,000, 120s. Mersey to Isafjord (Iceland), 1,100, 200 kr., coal, sail. OBITUARY. The Right Hon. Chas. Fenwick, M.P., the miner who, in 1885, stepped direct from the pit into Parliament as the representative of the Wansbeck Division of Northum- berland, lived only a very few days after having intimated to the divisional Liberal and Labour Association that, in consequence of his health and the growing defective- ness of his vision, he did not intend to offer himself for re-election at the close of the present Parliament. Mr. Fenwick died at his residence,’ 14, Tankerville-terrace, Newcastle-upon-Tyne, on Saturday morning last. Born at Cramlington on May 5, 1850, he went to work at “bank” at the age of nine years, and 12 months later descended the pit as a driver, working from 12 to 13 hours per day. He was mainly self-educated, and a naturally religious bias was aided by the circumstance that one of his first books was Matthew Henry’s “ Com- mentary on the Bible.” He joined the Northumberland Miners’ Association at its inception in 1863, although then only a lad of under 13. He married Miss Jane Gardner—who, with two sons, survives him—at the age of 19. In 1885, following the extension of the franchise, he was selected as Liberal candidate for Wansbeck, a division for which he sat until the time of his death. During his Parliamentary career, he served on three Royal Commissions—the Coal-dust Commission, the Commission on Secondary Education (England and Wales), and the Railway Servants’ Accidents Commission—and was a member of the Home Office Committee to enquire into the Use of Electricity in Mines. He was, from 1890 until 1894, secretary of the Parliamentary Committee of the Trades’ Union Congress. In the latter year, having, like his other mining M.P. colleagues in Northumberland and Durham, refused to support the Miners’ Eight Hours Bill, he was displaced by the late Mr. Sam Woods, of Walthamstow. In 1894, he was selected to second the address in response to the Queen’s speech. The attitude of the north-east coast miners’ M.P.s towards the Eight Hour Bill was changed when the Northumberland and Durham associations became affiliated with the Miners’ Federation of Great Britain, but, even then, Mr. Fenwick and his two colleagues declined to bow the knee to the newly-formed Independent Labour Party. In 1911, he became a member of the Privy Council. COAL, IRON AND ENGINEERING COMPANIES. REPORTS AND DIVIDENDS. Barrow Haematite Steel Company Limited. —• The directors state that it is impossible to place any reliable figures for 1917 before shareholders. Arrangements have been made to enlarge the scope of the company’s operations by extensions and acquisitions involving careful financial consideration. This, with the uncertainty as to the com- pany’s contribution under the Finance Act, makes it impossible to declare any dividend on the ordinary shares, but the first and second preference dividends will be paid for the year. These payments are the same as those for 1916. The last ordinary dividend was 2 per cent, paid for.1907. Chinese Engineering and Mining Company Limited.— For the year ended June, the gross profit of the Kailan Mining Administration amounted to 5,776,388 dols; net profit 3,791,986 dols.; this company’s proportion being 2,146,973 dols. The amount brought to the credit of profit and loss account, including interest, was £300,958; net profit, £291,562. Adding £162,122 brought forward, and deducting £42,031 for income tax, the available balance was £411,654. Balance dividend of 7^ per cent., free of tax (making 12^ per cent, for the year), against 10 per cent, for the previous year; £286,654 forward, subject to provision for excess profits duty. Profits have been materially increased by the marked improvement in the rates of exchange throughout the year. Coalite Limited.—The report for 1917 states that by the appropriation of the surplus of reserve account the item of general expenditure in the balance sheet is reduced by £12,495. The directors have succeeded in arranging with various creditors for a substantial reduction of their claims. This, with the assistance of various other credits, makes the balance added to this item only £191 for the year. An agreement has been entered into with Low Temperature Carbonisation Limited, to manage that busi- ness for ten years. The company’s patents in foreign countries and the British dominions have been main- tained and added to during the past year. Edinburgh Collieries Company Limited.—The report for the year ended January 31 states that, after making pro- vision for interest on debentures, and bond and income tax, the balance of profit is £51,512; £30,153 was brought forward making £81,665. After writing off for deprecia- tion £25,000, and deducting interim dividends, there is left £41,666. The directors recommend a final dividend on the ordinary shares of 3| per cent., making 7^ per cent, for the year, free of tax, and to carry forward £26,667. Reddaway (F.) and Company Limited.—The profit in 1917 was £64,644, which compares with £42,534 for 1916, and £29,409 for 1915. A dividend of 8 per cent, on the ordinary shares is recommended (absorbing £21,866), and £24,529 is carried forward. Last year 6 per cent, was paid, as against 5 per cent, for 1915. Previously nothing had been paid on the ordinary shares since the 2£ per cent, distributed for 1909. Debenture stock to the amount of £13,705 was redeemed during last year, the amount now out being £74,047. The directors report that “ the restrictions imposed by the War Trade Department on the export of canvas hose and beltings make it almost impossible to continue to manufacture, and unless the same are modified the board will be compelled to consider the closing down of the textile section of the works.” Shotts Iron Company Limited.—Interim dividend on the ordinary shares of 10 per cent., free of tax—the same as last year. Siemens Brothers Limited.—Dividend of 10 per cent, for 1917, as against 7 per cent. Smith and McLean Limited.—The report for 1917 shows a profit, after providing for depreciation, estimated liabilities to the Government, etc., of £33,482 (against £24,388); £18,813 was brought forward, making £52,295. The directors have placed £15,000 (against £10,000) to ordinary reserve (making £75,000), and now recommend a dividend of 10 per cent., free of tax, against 7 per cent, for each of the two preceding years, leaving £20,108 to be carried forward. NEW COMPANIES. Metropolitan Associated Engineers Limited.—Private company. Registered office, 65, Camden-road, N.W. 1. Registered April 16, to carry on the business of general, mechanical, and consulting engineers, etc. Nominal capital, £3,000 in 3,000 £1 ordinary shares. Director : E. P. Blunt. South-Western Mining Syndicate Limited. — Public company. Registered April 13. Nature of business is indicated by the title. Nominal capital, £5,000 in 100,000 Is. shares. The directors shall be appointed by the sub- scribers. Qualification of directors, 200 shares. Sub- scribers (1 share) : F. H. W. Hope, R. J. Mackenzie, and C. F. Cole. Tar Burners Limited.—Private company. Registered April 18, to carry on business as manufacturers of, and sellers and dealers in, gas and tar burners, etc. Nominal capital, £7,000 in 7,000 £1 shares. Subscribers (1 share): W. Balment and Edith K. Mizen. Wicks and Dale Limited.—Private company. Registered office, 60, Queen Victoria-street, E.C. 4. Registered April 16, to manufacture and produce, or cause to be manufac- tured and produced, metal tubes, pipes, and other metal appliances, etc. Nominal capital, £3,000 in 3,000 £1 shares. Directors: B. W. Wicks, and H. L. Dale. Qualification of directors, 100 shares. This list of new companies is taken from the Daily Register specially compiled by Messrs. Jordan and Sons Limited, company registration agents, Chancery-lane, E.C. The Right Hon. the Earl Manvers has consented to become president of the Coal Trade Benevolent Associa- tions, in succession to the Right Hon. Lord St. Oswald. Canadian Coal Saving.—A conference having for its object the taking stock of the coal mining operations in Canada, and devising ways and means to increase the output of coal, has concluded its deliberations at Ottawa. It comprised representatives of the Dominion Government, the transportation companies, mine operators, and labour unions. A representative of the American Fuel Adminis- tration was also present, and agreed that Canada should be treated, as far as the United States was concerned, in the same way as any State of the Union. Western Canada will have to depend largely for their supply this year upon the mines in the West, and no American anthracite coal will be shipped west of Winnipeg. It is proposed also to restrict shipments of anthracite from Canadian lake ports during the early part of the season, and the public is strongly urged to practise economy.