W. W. Beman
qt. 6-16-1923
Of this series there have now been published forty-six Volumes, each of which contains, in addition to the papers and solutions that have appeared in the Educational Times, an equal quantity of new articles, and comprises contributions, in all branches of Mathematics, from most of the leading Mathematicians in this and other countries.
New Subscribers may have any of these Volumes at Subscription-prices.
AIYAR, Prof. SWAMINATHA; Pres. Coll., Madras. | EMTAGE, W. T. A.; Pembroke Coll., Oxford.
ALDIS, J. S., M.A.; H.M. Inspector of Schools.
ALLEN, Rev. A. J. C., M.A.; College, Chester.
ALLMAN, Professor GEO. J., LL.D.; Galway.
ANDERSON, ALEX., B.A.; Queen's Coll., Galway.
ANTHONY, EDWYN, M.A.; The Elms, Hereford.
ARMENANTE, Professor; Pesaro.
BALL, Sir ROBT.STAWELL, LL.D.,F.R.S.; Dublin.
BARTON, W. J., M.A.; Highgate, London.
BASU, SATISH CHANDRA; Presid. Coll., Calcutta.
BATTAGLINI, Prof. GIUSEPPE; Univ. di Roma.
BAYLISS, GEORGE, M.A.; Kenilworth.
BEEVOR, R. J., B.A.; Regent's Park, London.
BELTRAMI, Professor; University of Pisa.
BERG, Professor F. J. VAN DEN; Delft.
BESANT, W. H., D.Sc., F.R.S.; Cambridge.
BEYENS, Professor IGNACIO; Cadiz.
BIDDLE, D.; Gough Ho., Kingston-on-Thames.
BIRCH, Rev. J. G., M.A.; London.
BLACKWOOD, ELIZABETH, B.Sc.; Boulogne.
BLYTHE, W. H., B.A.; Egham.
BORCHARDT, Dr. C. W.; Victoria Strasse, Berlin.
BORDAGE, Prof. EDMOND; Coll. de Nantua.
BOULT, S. H., M.A.; Liverpool.
BOURNE, C. W., M.A.; College, Inverness.
BRILL, J., B.A.; St. John's Coll., Camb.
BROCARD, Capitaine H.; Montpellier.
BROOKS, Professor E.; Millersville, Pennsylvania.
BROWN, A. CRUM, D.Sc.; Edinburgh.
BUCHHEIM, A.,M.A., Ph.D.: Gov. Sch.,M'chester.
BUCK, EDWARD, M.A.; Univ. Coll., Bristol.
BURNSIDE, Professor W. S., M.A.; Univ., Dublin.
CAPEL, H. N., LL.B.; Bedford Square, London.
CARMODY, W. P., B.A.; Clonmel Gram. School.
CARR, G. S., M.A.; 3 Endsleigh Gardens, N.W.
CASEY, Prof., LL.D., F.R.S.; Cath. Univ., Dublin.
CATALAN, Professor; University of Liège.
CAVALLIN, Prof., M.A.; University of Upsala.
CAVE, A. W., B.A.; Magdalen College, Oxford.
CAYLEY, A., F.R.S.; Sadlerian Professor of Ma-
thematics in the University of Cambridge,
Member of the Institute of France, &c.
CHAKRAVARTI, Prof. BYOм., M.A.; Calcutta.
CHASE, Prof., LL.D.; Haverford College.
CHRISTIE, R. W. D., B.A.; Newmarket.
CLARKE, Colonel A. R., C.B., F.R.S.; Hastings.
COCHEZ, Professor; Paris.
COCKLE, Sir JAMES, M.A., F.R.S.; London.
COHEN, ARTHUR, M.A., Q.C., M.P.; Holland Pk.
COLSON, C. G., M.A.; University of St. Andrews.
CONSTABLE, S.; Swinford Rectory, Mayo.
COTTERILL, J. H., M.A.; R. N. Coll., Greenwich.
CREMONA, LUIGI; Direttore della Scuola degli
Ingegneri, S. Pietro in Vincoli, Rome.
CROFTON, Prof. M. W., F.R.S.; Dublin.
CROKE, J. O'BYRNE, M.A.; Dublin.
CULLEY, Professor E. H., M.A.; St. David's
College, Lampeter.
CURTIS, ARTHUR HILL, LL.D., D.Sc.; Dublin.
CURTIS, R., M.A., S.J.; Univ. Coll., Dublin.
DARBOUX, Professor; Paris.
DAVIES, H. O. SYDNEY; Univ. Coll., Bangor.
DAVIS, J. G., M.A.; Abingdon.
DAVIS, R. F., M.A.; Endsleigh Gardens.
DAWSON, H. G., B.A.; Christ Coll., Camb.
DAY, Rev. H. G.,M.A.; Richmond Terr., Brighton.
DE LONGCHAMPS, Professor; Paris.
DEY, Prof. NARENDRA LAL, M.A.; Calcutta.
DICK, G. R., M.A.; Victoria University.
D'OCAGNE, MAURICE; Rochefort-sur-Mer.
DOBSON, T., B.A.; Hexham Grammar School.
DROZ, Prof. ARNOLD, M.A.; Porrentruy, Berne.
DUPAIN, J.C.; Professeur au Lycée d'Angoulême.
EASTERBY, W., B.A.; Grammar School, St. Asaph.
EASTWOOD, G., M.A.; Saxonville, Massachusetts.
EASTON, BELLE; Lockport, New York.
EDWARD, J., M.A.; Head Mast., Aberdeen Coll.
EDWARDES, DAVID; Erith Villas, Erith, Kent.
ELLIOTT, E. B., M.A.; Fell. Queen's Coll., Oxon.
ELLIS, ALEXANDER J., F.R.S.; Kensington.
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ESSENNELL, EMMA; Coventry.
EVANS, Professor, M.A.; Lockport, New York.
EVERETT, Prof. J. D., D.C.L.; Qu. Coll., Belfast.
FICKLIN, JOSEPH; Prof. in Univ. of Missouri.
FORTEY, H., M.A.; Bellary, Madras Presidency.
FOSTER, F. W., B.A.; Chelsea.
FOSTER, Prof.G.CAREY, F.R.S.; Univ. Coll., Lond.
FRANKLIN, CHRISTINE LADD, M.A.; Prof.of Nat.
Sci. and Math., Union Springs, New York.
FUORTES, E.; University of Naples.
GALBRAITH, Rev.J.,M.A., Fell.Trin.Coll., Dublin.
GALE, KATE K.; Worcester Park, Surrey.
GALLATLY, W., B.A.; Earl's Court, London.
GALLIERS, Rev. T., M.A.; Ex.-Fell. Caius Coll.,
Cambridge; Kirkstead Rectory, Norwich.
GALTON, FRANCIS, M.A., F.R.S.; London.
GENESE, Prof., M.A.; Univ. Coll., Aberystwith.
GERRANS, H. T., B.A.; Stud. of Ch. Ch., Oxford.
GLAISHER, J.W.L., F.R.S.; Fell.Trin.Coll., Camb.
GOLDENBERG, Professor, M.A.; Moscow.
GORDON, ALICE, B.Sc.; Gloucester.
GOUDIE, W. P., Irvine House; Derby.
GRAHAM, R. A., M.A.; Trinity College, Dublin.
GREENFIELD, Rev. W. J., M.A.; Dulwich College.
GREENSTREET, W. J., B.A.; Hull.
GREENWOOD, JAMES M.; Kirksville, Missouri.
GRIFFITHS, G. J., M.A.; Fell. Ch. Coll., Camb.
GRIFFITHS, J., M.A.; Fellow of Jesus Coll., Oxon.
GROVE, W. B., B.A.; Perry Bar, Birmingham.
HADAMARD, Professor, M.A.; Paris.
HAIGH, E., B.A., B.Sc.; King's Sch., Warwick.
HALL, Professor ASAPH, M.A.; Washington.
HAMMOND, J., M.A.; Buckhurst Hill, Essex.
HARKEMA, C.; University of St. Petersburg.
HARLEY, Rev. R., F.R.S.; Oxford.
HARRIS, H. W., B.A.; Trinity College, Dublin.
HARRIS, J. R., M.A.; Clare College, Cambridge.
HART, Dr. DAVID S.; Stonington, Connecticut.
HART, H.; R. M. Academy, Woolwich.
HAUGHTON, Rev. Dr., F.R.S.; Trin. Coll., Dubl.
HENDRICKS, J. E., M.A.; Des Moines, Iowa.
HEPPEL, G., M.A.; The Grove, Hammersmith.
HERMAN, R. A., M.A.; Trin. Coll., Cambridge.
HERMITE, CH.; Membre de l'Institut, Paris.
HERVEY, F. R. J., M.A.; Worthing.
HILL, Rev. E., M.A.; St. John's College, Camb.
HINTON, C. H., M.A.; Cheltenham College.
HIRST, Dr. T. A., F.R.S.; London.
HOLT, J. R., M.A.; Trinity College, Dublin.
HOPKINS, Rev. G. H., M.A.; Stratton, Cornwall.
HOPKINSON, J., D.Sc., B.A.; Kensington.
HUDSON, C. T., LL.D.; Manilla Hall, Clifton.
HUDSON, W.H.H.,M.A.;Prof.in King'sColl., Lond.
INGLEBY, C. M., M.A., LL.D.; London.
JENKINS, MORGAN, M.A.; London.
JOHNSON, W. E., B.A.; King's Coll., Cambridge.
JOHNSON, Prof., M.A.; Annapolis, Maryland.
JOHNSTON, W.J., M.A.; Univ.Coll., Aberystwith.
JOHNSTON, J. P., B.A.; Trin. Coll., Dublin.
JONES, H. S.; Llanelly.
JONES, L. W., B.A.; Merton College, Oxford.
KENNEDY, D., M.A.; Catholic Univ., Dublin.
KIRKMAN, Rev. T. P., M.A., F.R.S.; Croft Rect.
KITCHIN, Rev. J. L., M.A.; Heavitree, Exeter.
KITTUDGE, LIZZIE A.; Boston, United States.
KNISELY, Rev. U. J.; Newcomerstown, Ohio.
KNOWLES, R., B.A., L.C.P.; Tottenham.
KOEHLER, J.; Rue St. Jacques, Paris.
LACHLAN, R., B.A.; Lewisham.
LARMOR, J., M.A.; Cambridge.
LAVERTY, W.H..M.A.: late Exam. in Univ.Oxford
LAWRENCE, E. J.; Ex-Fell. Trin. Coll., Camb.
LEIDHOLD, R., M.A.; Finsbury Park.
LEUDESDORF, C., M.A.; Fel.PembrokeColl.,Oxon.
LEVETT, R., M.A.; King Edw. Sch., Birmingham.
LONDON, Rev. H., M.A.; Pocklington School.
LOWRY, W. H., M.A.; Blackrock, Dublin.
MACDONALD, W. J., M.A.; Edinburgh.
MACFARLANE, Prof. A., D.Sc.; Univ. of Texas.
MACKENZIE, J. L., B.A.; Gymnasium, Aberdeen.
MACMAHON, Capt. P. A.; R. M. Academy.
MACMURCHY, A., B.A.; Univ. Coll., Toronto.
MADISON, ISABEL, B.A.; Cardiff.
MCALISTER, DONALD, M.A., D.Sc.; Cambridge.
MCCAY, W. S., M.A.; Fell. Trin. Coll., Dublin.
MCCLELLAND, W. J.,B.A.; Prin. of SantrySchool.
MCCOLL, H., B.A.; 73, Rue Sibliquin, Boulogne.
MCINTOSH, ALEX., B.A.; Bedford Row, London.
MCLEOD, J., M.A.; R.M. Academy, Woolwich.
MALET, Prof., M.A.; Queen's Coll., Cork.
MANNHEIM, M.;
Prof. à l'Ecole Polytech., Paris.
MARKS, SARAH; Cambridge Street, Hyde Park.
MARTIN, ARTEMAS, M.A., Ph.D.; Washington.
MATHEWS, G. B., B.A.; Univ. Coll., N. Wales.
MATZ, Prof., M.A.; King's Mountain, Carolina.
MERRIFIELD, J., LL.D., F.R.A.S.; Plymouth.
MERRIMAN, MANSFIELD, M.A.; Yale College.
MEYER, MARY S.; Girton College, Cambridge.
MILLER, W. J. C., B.A.. (EDITOR);
The Paragon, Richmond-on-Thames.
MINCHIN, G.M.,M.A.; Prof. in Cooper's Hill Coll.
MITCHESON, T.,B.A.,L.C.P.; City of London Sch.
MONCK, Prof. H. ST., M.A.; Trin. Coll., Dublin.
MONCOURT, Professor; Paris.
MOON, ROBERT, M.A.; Ex-Fell. Qu. Coll., Camb.
MOORE, H. K., B.A.; Trin. Coll., Dublin.
MOREL, Professor; Paris.
MORGAN, C., B.A.; Salisbury School.
MORLEY, FRANK, B.A.; Bath Coll., Bath.
MORRICE, G. G., B.A.; Weymouth.
MUIR, THOMAS, M.A., F.R.S.E.; Bishopton.
MUKHOPADHYAY,ASUTOSH, M.A.; Bhowanipore.
NASH, A. M., M.A.; Prof. in Pres. Coll., Calcutta.
NEUBERG, Professor; Univ. of Liège.
NEWCOMB, Prof. SIMON, M.A.; Washington.
OPENSHAW, Rev. T. W., M.A.; Clifton.
O'REGAN, JOHN; New Street, Limerick.
ORCHARD, H. L., M.A., L.C.P.; Hampstead.
OWEN, J. A., B.Sc.; Tennyson St., Liverpool.
PANTON, A. W., M.A.; Fell. of Trin. Coll.,Dublin.
PENDLEBURY, C., M.A.; London.
PERRIN, EMILY; Girton College, Cambridge.
PHILLIPS, F. B. W.; Balliol College, Oxford.
PILLAI, C. K., M.A.; Trichy, Madras.
PIRIE, A., M.A.; University of St. Andrews.
POOLE, GERTRUDE, B.A.; Cheltenham.
POCKLINGTON, H. C., M.A.; Yorks Coll., Leeds.
POLIGNAC, Prince CAMILLE DE; Paris.
POLLEXFEN, H., B.A.; Windermere College.
POTTER, J., B.A.; Richmond-on-Thames.
PRUDDEN, FRANCES E.; Lockport, New York.
PURSER, Prof. F., M.A.; Queen's College, Belfast.
PUTNAM, K. S., M. A.; Rome, New York.
RAU, Prof. B. HANUMANTA, B.A.; Madras.
RAWSON, ROBERT; Havant, Hants.
RAY, Prof. M. NATH, M.A., LL.B.; Howrah.
RAY, Prof. SARADARANJAN, M.A.; Dacca.
RAYMOND, E. LANCELOT, B.A., Surbiton.
READ, H. J., B.A.; Brasenose Coll., Oxford.
REEVES, G. M., M.A.; Lee, Kent.
REYNOLDS, B., M.A.; Notting Hill, London.
RICHARDS, DAVID, B.A.; Aberystwith.
RICHARDSON, Rev. G., M.A.; Winchester.
ROBERTS, R. A., M.A.; Schol.of Trin.Coll., Dublin.
ROBERTS, S., M.A., F.R.S.; London.
ROBERTS, Rev. W., M.A.; Sen. Fell.Trin.Coll.,Dubl.
ROBERTS, W. R., M.A.; Fell. of Trin. Coll., Dub.
ROBSON, H. C., B.A.; Sidney Sussex Coll., Cam.
ROGERS, L. J., B.A.; Oxford.
ROSENTHAL, L. H.; Scholar of Trin. Coll., Dublin.
ROY, Prof. KALIPRASANNA, M.A.; Agra.
RUGGERO, SIMONELLI; Università di Roma.
RUSSELL, J. W., M.A.; Merton Coll., Oxford.
RUSSELL, R., B.A.; Trinity College, Dublin.
RUTTER, EDWARD; Sunderland.
SALMON, Rev. G., D.D., F.R.S.; Regius Professor
of Divinity in the University of Dublin.
SANDERS, J. B.; Bloomington, Indiana.
SANDERSON, Rev. T. J., M.A.; Royston, Cambs.
SARKAR, Prof. NILKANTHA, M.A.; Calcutta.
SCHEFFER, Professor; Mercersbury Coll., Pa.
SCHOUTE, Prof. P. H.; University, Groningen.
SCOTT, A. W., M.A.; St. David's Coll., Lampeter.
SCOTT, CHARLOTTE A., B.Sc.; Professor in Bryn
Mawr Coll., Philadelphia.
SCOTT, R. F., M.A.; Fell. St. John's Coll., Camb.
SERRET, Professor; Paris.
SHARP, W. J. C., M.A.; Hill Street, London.
SHARPE, J. W., M.A.; The Charterhouse.
SHARPE, Rev. H. T.. M.A.: Cherry Marham.
SHEPHERD, Rev. A.J. P., B.A.; Fell, Q. Coll., Oxf.
SIMMONS, Rev. T.C., M.A.; Christ's Coll., Brecon.
SIRCOM, Prof., M.A.; Stonyhurst College.
SIVERLY, WALTER; Oil City, Pennsylvania.
SKRIMSHIRE, Rev. E., M.A.; Llandaff.
SMITH, C., M.A.; Sidney Sussex Coll., Camb.
STABENOW, H., M.A.; New York.
STEGGALL, Prof. J. E. A., M.A.; Dundee.
STEIN, A.; Venice.
STEPHEN, ST. JOHN, B.A.; Caius Coll., Cambridge.
STEWART, H., M.A.; Framlingham, Suffolk.
STORR. G. G., B.A.: Clerk of the Medical Council,
299 Oxford Street, London.
SWIFT, C. A., B.A.; Grammar Sch., Weybridge.
SYLVESTER, J. J., D.C.L., F.R.S.; Professor of
Mathematics in the University of Oxford,
Member of the Institute of France, &c.
SYMONS, E. W., M.A.; Fell. St. John's Coll..Oxon.
TAIT, Prof. P. G., M.A.; Univ., Edinburgh.
TANNER, Prof. H.W.L.,M.A.; S. Wales Univ. Coll.
TARLETON, F. A., M.A.; Fell. Trin. Coll., Dub.
TAYLOR, Rev. C., D.D.; Master of St. John's
College, Cambridge.
TAYLOR, H. M., M.A.; Fell. Trin. Coll., Camb.
TAYLOR, W. W., M.A.; Ripon Grammar School.
TEBAY, SEPTIMUS, B.A.; Farnworth, Bolton.
TERRY, Rev. T. R., M.A., Fell. Magd. Coll., Oxon.
THEODOSIUS, A. F., M.A.; Bath College.
THOMAS, Rev.D., M.A.; Garsington Rect., Oxford.
THOMSON,Rev.F.D.,M.A.; Ex-Fellowof St.John's
Coll., Camb.; Brinkley Rectory, Newmarket.
TIRELLI, Dr. FRANCESCO; Univ. di Roma.
TORELLI, GABRIEL; University of Naples.
TORRY, Rev. A. F., M.A.; St. John's Coll., Camb.
TRAILL, ANTHONY, M.A., M.D.; Fellow and
Tutor of Trinity College, Dublin.
TUCKER, R., M.A.; Mathematical Master in Uni-
versity College School, London.
TURRIFF, GEORGE, M.A.; Aberdeen.
VIGARIE, EMILE; Hotel Suez, Paris.
VINCENZO, JACOBINI; Università di Roma.
VOSE, Professor G. B.; Washington.
WALENN, W. H.; Mem. Phys. Society, London.
WALKER, J. J., M.A., F.R.S.; Hampstead.
WALMSLEY, J., B.A.; Eccles, Manchester.
WARBURTON-WHITE, R., B.A., Salisbury.
WARREN, R., M.A.; Trinity College, Dublin.
WATHERSTON, Rev. A. L., M.A.; Bowdon,
WATSON, Rev. H. W.; Ex-Fell. Trin. Coll., Camb.
WERTSCH, Fr.; Weimar.
WHITE, J. R., B.A.; Worcester Coll., Oxford.
WHITE, Rev. J., M.A.; Royal Naval School.
WHITESIDE, G., M.A.; Eccleston, Lancashire.
WHITWORTH, Rev. W. A., M.A.; London.
WILLIAMS, C. E., M.A.; Wellington College.
WILLIAMSON, B., M.A.; Fellow and Tutor of
Trinity College, Dublin.
WILSON, J. M., M.A.; Head-master, Clifton Coll.
WILSON, Rev. J., M.A.; Rect. Bannockburn Acad.
WILSON, Rev. J. R., M.A.; Royston, Cambs.
WOODCOCK, T., B.A.; Twickenham.
WOLSTENHOLME, Rev. J., M.A., Sc.D.; Professor
of Mathematics in Cooper's Hill College.
WOOLHOUSE, W. S. B., F.R.A.S., &c.; London.
WRIGHT, Dr. S. H., M.A.; Penn Yan, New York.
WRIGHT, W. E., B.A.; Herne Hill.
YOUNG, JOHN, B.A.; Academy, Londonderry.
Mathematical Papers, &c.
On the Use of as a Symbol of Operation. (Dr. Macfarlane,
F.R.S.E.)
Notes on Questions 7954, 7624, 8307. (The Editor.)
2231. (Professor Sylvester, F.R.S.)-If a system of conics touch a
given straight line at a given point at which they have all the same
curvature, and pass through a second given point, show that, on taking as
axis of coordinates the bisectors of the angle between the given line and
the line joining the two given points, the locus of the foci of the conics
so taken consists of the two circular cubics
2by (x2 + y2) − (ax+by)2 = 0, 2ax (x2 + y2) − (ax + by)2 = 0,
where a, b are the x, y coordinates of the second given point.
48
5178. (Professor Sylvester, F.R.S.) x, y, z are three given ra-
tional integral biquadratic functions of t; and two systems of ratios
A.x2 + By2+ Cz2
ax2 + by2+ cz2
admits in general of three,
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