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MESSRS. MACMILLAN AND CO.'S MATHEMATICAL WORKS.

GEOMETRICAL DRAWING.

Constructive Geometry of Plane Curves. By T. H. Note-book on Practical Solid or Descriptive Geen

EAGLES, M.A., Instructor in Geometrical Drawing, and Lecturer in
Architecture at the Royal Indian Engineering College, Cooper's Hill.
Crown 8vo. 125.

Elements of Descriptive Geometry. By J. B. MILLAR,
Civil Engineer, Lecturer on Engineering in the Victoria University,
Manchester, Second Edition. Crown 8vo. 6s.

Containing Problems with help for Solutions. By J. H. EDG
G. S. PRITCHARD. Fourth Edition. Globe 8vo. 4
A Geometrical Note-book. Containing Easy Probe.
Geometrical Drawing preparatory to the Study of Geomery
Use of Schools. By F. E. KITCHENER, M.A, late He..
of the Newcastle-under-Lyme High School. 4to. 25.

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An Elementary Treatise on Plane Trigonometry.

With Examples. By R. D. BEASLEY, M.A.
vised and Enlarged. Crown 8vo.
38. 6d.

Four-Figure Mathematical Tables.

Ninth Edition, Re

Comprising

Logarithmic and Trigonometrical Tables, and Tables of Squares,
Square Roots, and Reciprocals. By J. T. BOTTOMLEY, M.A.,
Lecturer in Natural Philosophy in the University of Glasgow. 8vo. 2s. 6d.
The Algebra of Co-Planar Vectors and Trigonometry.

By R. B. HAYWARD, M.A., F.R.S., Assistant Master at Harrow.
Crown 8vo. 8s. 6d.

Examples for Practice in the Use of Seven-Figure
LOGARITHMS. By JOSEPH WOLSTENHOLME, D.Sc., late
Professor of Mathematics in the Royal Indian Engineering College,
Cooper's Hill. 8vo. 55.

KEY.

A Treatise on Trigonometry.

By W. E. M.A., late Scholar and Assistant Mathematical Lecturer a College, Cambridge. Crown 8vo. 8s. 6d.

Elements of Trigonometry. By RAWDON LEVIT

CHARLES DAVISON, Assistant Masters at King Edward's:
Birmingham. Globe 8vo. 6d. 6d, or in Two Parts, 3 t

A Treatise on Spherical Trigonometry. With
tions to Spherical Geometry and Numerous Examples.
M'CLELLAND, M. A., Principal of the Incorporated Society's
Santry, Dublin; and T. PRESTON, M.A. Crown Eve
Part I. To the End of Solution of Triangles, 4s. 6d. Pan!lg
Manual of Logarithms. By G. F. MATTHEWS, B

55. net.

Trigonometry for Beginners, as far as the Solution of Text-book of Practical Logarithms and Trigon

Triangles. By Rev. J. B. LOCK, M.A., Senior Fellow and Bursar of Gonville and Caius College, Cambridge. Third Edition. Globe 8vo, 2s. 6d. KEY. Crown 8vo. 6s. 6d.

Trigonometry of One Angle. By the same Author.

8vo.

2s. 6d.

Elementary Trigonometry. By the same Author.

Globe

Sixth Edition (in this edition the chapter on Logarithms has been carefully revised). Globe 8vo. 45. 6d. KEY. Crown 8vo. 8s. 6d.

Higher Trigonometry. By the same Author. Fifth Edi

tion. Globe 8vo.

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45. 6d. Both Parts complete in One Volume

Globe

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ANALYTICAL GEOMETRY (Plane and Solid). Exercises in Analytical Geometry. By J. M. DYER, An Elementary Treatise on Conic Sections and

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BRAIC GEOMETRY. With Numerous Examples and E
their Solution. By G. H. PUCKLE, M.A. Fifth Ed
and Enlarged. Crown 8vo. 75. 6d.

Conic Sections. By CHARLES SMITH, M.A., V
Sidney Sussex College, Cambridge. Seventh Edition. Crown
KEY. Crown 8vo. 10s. 6d.

An Elementary Treatise on Solid Geometry.
Edition. By the same Author. Crown 8vo. gs. 6d.

Plane Co-ordinate Geometry, as Applied to the
Lie and the Conic Sections. By ISAAC TODHUNTER
Crown 8vo. 75. 6d.

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PROBLEMS AND QUESTIONS IN MATHEMATICS.
Weekly Problem Papers. With Notes intended

Army Preliminary Examination, 1882-Sept. 1891,
Specimens of Papers set at the. With Answers to the Mathematical
Questions. Subjects: Arithmetic, Algebra, Euclid, Geometrical Draw-
ing, Geography, French, English Dictation. Crown 8vo.
35. 6d.

Cambridge Senate-House Problems and Riders, with

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MESSRS. MACMILLAN AND CO.'S NEW BOOKS.

NATIONAL LIFE AND CHARACTER: a Forecast.

late Minister of Education, Victoria. 8vo, Ios. net.

By CHAS. H. PEARSON,

TIMES:—“ A very remarkable and striking book. Mr. Pearson's speculations on the future of National Life and Character e certainly a notable sign of the times."

SPEAKER:"A singularly learned, philosophical, and suggestive work.”
SPECTATOR:-"A very remarkable work."

UNIVERSITY AND CATHEDRAL SERMONS.

By J. R. ILLINGWORTH,

M.A., Author of "Sermons Preached in a College Chapel." Crown 8vo, 5s. INTRODUCTORY MODERN GEOMETRY OF POINT, RAY, AND CIRCLE. By WILLIAM BENJAMIN SMITH, A.M., Ph.D., Professor of Mathematics and Astronomy in the University of the State of Missouri. Crown 8vo, Cloth, 5s.

PHYSICS, ADVANCED COURSE. BY GEORGE F. BARKER, Professor of Physics in the University of Pennsylvania. 8vo, Cloth, 2ts.

Crown 8vo, Cloth, 7s. 6d.

EVOLUTION AND MAN'S PLACE IN NATURE. BY HENRY CALDERWOOD,
LL.D., F. R.S E., Professor of Moral Philosophy in the University of Edinburgh.
PIONEERS OF SCIENCE. BY OLIVER LODGE, F.R.S.,

Professor of Physics in

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the Victoria University College, Liverpool. With Portraits and other Illustrations. Extra Crown 8vo, Cloth, 7s. 6d. A course of lectures on the lives of epoch-making men, principally in the Department of Astronomy, giving an account of their ork, and tracing their influence on the development of human thought. The first part of the course, called "From Dusk to Daylight,' nsists of nine lectures on the men from Copernicus to Newton inclusive, especially Tycho, Kepler, Galileo, Descartes, and aims at explaining the scientific aspect of their work in a clear and intelligible manner with copious illustrations. The second part of the curse consists of nine lectures on such subjects as the Velocity of Light; Herschel and the Stars; the discoveries of Asteroids and of Neptune; Comets and Meteors; and the Tides; with some biographical details and much scientific exposition addressed to persons literary education.

NATURE:-" Dr. Lodge has been able, by judiciously combining clear statements of scientific facts and laws wth interesting personal details, to give his lectures all the charm of a romance. The book is an admirable introduction to the study of astronomy, and no better gift for a beginner could well be chosen; while to those to whom many of its details are already familiar, the picturesque clearness with which they are presented will make their knowledge more real and more complete. The standard of excellence maintained in the lectures makes distinction difficult and invidious, or we would distinguish the lectures on Newton and those on tides as models of what such popular scientific expositions should be."

THE CHEMICAL BASIS OF THE ANIMAL BODY. An Appendix to Foster's Text-book of Physiology." Fifth Edition. By A. SHERIDAN LEA, M. A., D.Sc., F.R.S., University Lecturer in Physiology in the University of Cambridge; Fellow of Caius College. 8vo, Cloth, 7s. 6d.

The following appendix has been written upon the same lines as in former editions, save that it has been enlarged, and in reality now constitutes a treatise on the chemical substances occurring in the animal body. As in former editions it is entirely the work of Dr. A. Sheridan Lea.

ELECTRICAL PAPERS.

By OLIVER HEAVISIDE. 2 vols., 8vo, 30s. net.

A TEXT-BOOK OF TROPICAL AGRICULTURE. By H. A. ALFORD NICHOLLS, M.D., F. L.S. With Illustrations. Crown 8vo, Cloth, 6s.

A REVIEW OF THE SYSTEMS OF ETHICS FOUNDED ON THE THEORY OF EVOLUTION. By C. M. WILLIAMS. Crown 8vo, 12s. net.

THE SECOND VOLUME OF PROF. GRAY'S WELL-KNOWN WORK.

THE THEORY AND PRACTICE OF ABSOLUTE MEASUREMENTS IN ELECTRICITY AND MAGNETISM. By ANDREW GRAY, M.A., Professor of Physics in the University College of North Wales. Vol. II., in two Parts, crown 8vo, 255.

Vol. 1., already published, price 12s. 6d.

NEW WORK BY MR. R. B. HAYWARD.

THE ALGEBRA OF COPLANAR VECTORS AND TRIGONOMETRY. By R. BALDWIN HAYWARD, M. A., F. R. S., Senior Mathematical Master in Harrow School, formerly Fellow of St. John's College, Cambridge. Crown 8vo, Cloth, 8s. 6d.

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NATURE: This work is constructed on the methods of the school of mathematicians who derived their inspiration from the teaching of De Morgan, a school which is represented by many of the most influential of our recent writers on mathematical subjects. It is intende i to occupy the place of the Trigonometry and Double Algebra,' published in 1849 and now a long time out of print, at the same time incorporating such improvements in elementary treatment as have been evolved out of half a century's discussion of the foundations of Algebra. Those who are acquainted with Mr. Hayward's other writings, such as his Elements of Solid Geometry,' will expect a fresh and interesting treatment of his subject; and they will not be disappointed. On turning over the pages we constantly come across elegant touches and happy turns of expression, and historical appreciations—the stuff which constitutes the basis of literary excellence in mathematical writings.

MACMILLAN AND CO., LONDON.

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Sole Agent in this countryJAMES J. HICKS, 8, 9, & 10 Hatton Garden,

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HARVEY & PEAK,

By Appointment to the Royal Institution of Great Britain.

56 CHARING CROSS ROAD, LONDON, W.C.
SCHOOL APPARATUS FOR TECHNICAL INSTRUCTION

IN ELECTRICITY AND MAGNETISM, SOUND,
LIGHT, AND HEAT.

ALL APPARATUS TESTED FOR EFFICIENCY.

COMBINED AMMETER AND VOLTMETER FOR LABORATORY PURPOSES
Catalogue of 340 Illustrations by post, 6d.

"OPTIMUS" MAGIC LANTERNS
MAGIC LANTERNS "OPTIMUS" ENLARGING APPARATI

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Patent Quick-Acting Rack Adjustment.

THIS Apparatus comprises superior-Mahogany Body Lan Bellows Camera, adjusted by Rack and Pinion. The fitted with powerful Refulgent Lamp, with three wicks, giv illumination. Compound Condensers.

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PERKEN, SON,
SON, & RAYMENT,

SCIENTIFIC

99 HATTON CARDEN,

HOLBORN VIADUCT

LONDON

WORTHIES.

The following is a list of the Steel Portraits that have appeared in the above Series

MICHAEL FARADAY.

THOMAS HENRY HUXLEY.

CHARLES DARWIN.

JOHN TYNDALL.

GEORGE GABRIEL STOKES,

SIR CHARLES LYELL.

SIR CHARLES WHEATSTONE.

SIR WYVILLE THOMSON.

ROBERT WILHELM BUNSEN.
ADOLF ERIK NORDENSKJÖLD.

LORD KELVIN.

HERMANN L. F. HELMHOLTZ.
SIR JOSEPH DALTON HOOKER.
WILLIAM HARVEY.

SIR GEORGE B. AIRY.

J. LOUIS R. AGASSIZ.

JEAN BAPTISTE ANDRÉ DUMAS.

SIR RICHARD OWEN.

JAMES CLERK MAXWELL.

JAMES PRESCOTT JOULE.

WILLIAM SPOTTIS WOODE.

ARTHUR CAYLEY.

SIR C. W. SIEMENS.

JOHN COUCH ADAMS.

JAMES JOSEPH SYLVESTER.

DMITRI IVANOWITSH MENDELEEFE
LOUIS PASTEUR.

Proof impressions of these, printed on India paper, may be had from the Publishers, price 5s. each; or 27 Portraits in a Handsome Portfolio for £7, carriage paid. The Portfolio may be had separately, price 6s. Cheques and Money Orders payable to MACMILLAN & CO.. Proof Impressions of the Portrait of Sir ARCHIBALD GEIKIE, LL.D., F.R.S., issued with NATURE for may be obtained from the Publishers at 5s. each. N.B.-This Portrait is the first of a New Series.

OFFICE OF "NATURE," 29 BEDFORD STREET, STRAND.

Printed by RICHARD CLAY AND SONS, LIMITED, at 7 and 8 Bread Street Hill, Queen Victoria Street, in the City of London, and Fa MACMILLAN AND Co., at 29 Bedford Street, London. W.C., and 112 Fourth Avenue, New York.-THURSDAY, January N

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Registered as a Newspaper at the General Post Office.]

NEWTON'S PATENT Scientist's Biunial Lantern,

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Cambridge and London University
Extension Lecturers, &c.
Highest quality only, £14 145.
New Catalogue of Optical Lanterns,
Projection Apparatus, and Scientific
and other Slides, Four Stamps.
NEWTON & CO.,
Opticians to the Queen and
the Government,

By Special Appointment

TO THE ROYAL INSTITUTION OF GREAT

3 FLEET STREET, LONDON.

The STAR MICROSCOPE is a modern marvel at its low price. lenses alone are worth the money."-British Medical Journal.

BROWNING'S

New 3-Wick Lantern.

Tin Body; 4-inch Compound Japanned Condensers; Double Achromatic Front Lenses, with Rack Adjustment; and power. ful Three-wick Lamp, in Strong Wood Case, complete, price £1 12s. 6d.

Or with Four-wick Lamp, £1 16s. 6d. This is an admirable Lantern for making Photographic Enlargements.

Illustrated Catalogue of Lanterns, 352 pp., Post free.

JOHN BROWNING, Optical & Physical Instrument Maker, 63 STRAND, LONDON, W.C.

STANDARD METEOROLOGICAL INSTRUMENTS

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45 CORNHILL, & 122 REGENT STREET, LONDON.

PRICE LISTS FREE EV POST TO ALL PARTS OF THE WORLD.

LONDON GEOLOGICAL FIELD CLASS

A Course of Four Lectures will be delivered by Prof. H. G. Sz F.R.S., on "The Fossil Reptiles of the Thames Basin." at the Men Hall, Farringdon Street, E.C., at 7 p.m., on FEBRUARY 7 and then following Tuesday Evenings. Course Tickets 55. each. to be had ch Hon. Sec., Mr. J. H. HODD, 30 and 31 Hatton Garden, E.C

A CHEMIST requires work as DEMC

STRATOR or as ASSISTANT in RESEARCH LABORATORY has had Practical Experience in Research, Analytical, and logical Laboratories. He is a Certificated Student of the College, Finsbury, having worked there four years, during part time he assisted in Teaching. He has a thorough knowledge ganic, but especially of Organic Chemistry.-Address, R. C. TE 6 Gower Street, London, W.C.

WANTED.-A Resident Curator, Meter LOGICAL OBSERVER, and CARETAKER for the Library Buildings of the Royal Institution of Cornwall, Trun £50 per Annum, with Rooms, Coal, and Gas-Applications i cates' own handwriting, stating Age and Scientific qualif Testimonials and References, to be forwarded, not later tha RUARY 14, to MAJOR PARKYN, Truro.

TELESCOPES FOR SALE. Two very fine reflectors by Cook, diameter of mirror, 8) by 5 tively, perfect condition. Apply by letter-Mr. H., 30 Mile Cadogan Square.

WANTED-" Nature."

Nos. 427, 428, 472, and November 14, 1878. Nos. 618 and No. 651; 1882. No. 705: 1883. Price offered by F. A. C Elmfield, Stoneygate, Leicester.

To Collectors and Buyers of Precious:

Fancy Stones.-R. C. NOCKOLD, Diamond and Oriental Sor chant, 12 Frith Street, Soho, W., has a very large assortmed men Stones, cut and uncut. Inspection invited.

Is. Id. new Set of Byron, Shelley,
"Prize Essays," with Portrait of Foundress and "Gos
Essay Circular send addressed halfpenny wrapper to R L -
SHAY, Bwlch, Breconshire.

THE

CRY OF THE CHILDRENessay on Education by A Free Lance, Author of "On the of Science " "He will receive in many quarters ceasure V rank as the highest praise" (Chemical News). Paper C net (post-free). WILLIAMS & NORGATE, London

ROYAL COLLEGE OF SURGEONS OF

ENGLAND.
LECTURES

1893.

Notice is hereby given that Prof. C. B. PLOWRIGHT will commence a course of Three Lectures on "The Action of Fungi on the Human Body," on MONDAY, FEBRUARY 6.

"InThat Prof. H. J. CAMPBELL will then deliver Three Lectures on testinal Parasites belonging to the Class Neuratoda," commencing on MONDAY, FEBRUARY 20.

That Prof. B. T. LOWNE will deliver Three Lectures on "The Physiology of the Respiration, Circulation, and Nervous System of some Invertebrata,' commencing on MONDAY, FEBRUARY 27.

And that Prof. CHARLES STEWART will deliver Nine Lectures on "The Physiological Series of Comparative Anatomy in the Museum of the College," commencing on MONDAY, MARCH 6.

The Course of Lectures will be concluded in MAY and JUNE by Dr. J. ROSE BRADFORD, Mr. J. H. TARGETT, and Profs. J. HUTCHINSON, jun., and BERNARD PITTS.

The Lectures will be delivered on MONDAYS, WEDNESDAYS, and FRIDAYS at 5 o'clock p.m. precisely each day.

Fellows and Members of the College are invited to attend. Gentlemen, not Fellows or Members of the College, will be admitted on presentation of their private visiting card at the door of the Theatre.

January 28, 1893.

EDWARD TRIMMER, Secretary.

ST. THOMAS'S HOSPITAL MEDICAL

SCHOOL,

ALBERT EMBANKMENT, LONDON, S.E. TWO NATURAL SCIENCE SCHOLARSHIPS of £150 and £60 respectively, open to First-year Students on entrance in OCTOBER.

Special Classes in CHEMISTRY and PHYSICS, BOTANY and ZOOLOGY, are held throughout the Year, and may be joined at any time. Free Scholarships are given to distinguished Pupils of MERCHANT TAYLORS' SCHOOL, the CITY OF LONDON SCHOOL, and EPSOM COLLEGE.

Other Scholarships and Prizes of the Value of upwards of £300, the Mead Medal for Medicine, and the Cheselden Medal for Surgery are awarded annually. The Solly Medal and Prize, biennially, for Surgical Reports. Prospectuses and all Particulars may be obtained from the Medical Secretary, Mr. GEORGE RENDLE.

G. H. MAKINS, Dean.

PENYWERN HOUSE MILITARY AND
ENGINEERING COLLEGE,

2 PENYWERN ROAD, EARL'S COURT, S.W. PRINCIPAL-G. W. DE TUNZELMANN, B.Sc., M.I.E.E.

Telegrams-" Tunzelmann, London."

PUBLIC SERVICE AND UNIVERSITY DEPARTMENT.-For students preparing for the various branches of the Public Service or for Scholarships at, or entrance into, the Universities and Hospitals.

ENGINEERING DEPARTMENT.-The Complete Courses qualify Students for entry into Cooper's Hill, the Central Institution, the Royal College of Science, and into Engineering Works.

Special Courses in Electrical Engineering.

The extensive Physical and Chemical Laboratories are fitted up in the most complete manner for both Elementary and Advanced Work.

The College is supplied with very complete Geological Collections for practical instruction.

Students are regularly sent to the College by Leading Engineers and Scientific Authorities, whose Names are given in the Prospectus.

UNIVERSITY

COLLEGE

OF SOUTH

WALES AND MONMOUTHSHIRE,

CARDIFF.

FACULTY OF MEDICINE.

ALBERT EDWARD JAMRAC

(Late CHARLES JAMRACH), NATURALIST,

180 ST. GEORGE STREET EAST. Implements of Savage Warfare, Idols, Sacred Masks, Pervi Ne tsukis, China, Lacquer, Gongs, Shells, and other Curios

The Council is about to proceed to the Appointment of a PROFESSOR of COLLECTIONS OF MINERA

ANATOMY and a PROFESSOR of PHYSIOLOGY. The Stipend in each case will be £350 per Annum.

Applications, together with Printed Copies of Testimonials, must be sent in on or before FEBRUARY 10, 1893. For further Particulars apply to

IVOR JAMES, Registrar.

University College, Cardiff, December 13, 1892.

LONDON UNIVERSITY

EXAMINATIONS.

Mr. R. S. CLAY, B.A. (Cantab.), B.Sc. (London), will give a Course of Lectures on "Light" at the Birkbeck Institution, Breams Buildings, commencing on SATURDAY, FEBRUARY

E.C.,

4, at

ROCKS, OR FOSSILS,

For the Use of Students, Science Teachers, Prospectors, & illustrate the leading Text-books, in Boxes, with Trays 50 Specimens, 10s. 6d.; 100 do., 21s.; 200 d New Price List of Minerals, Rocks, and Stratigraphical Seri Post Free.

ROCK SECTIONS for the MICROSCOPE from 1.64.exch
CATALOGUES GRATIS.

CABINETS, GLASS-CAPPED BOXES, TRAYS, HAMMÜS
always in Stock.

7 o'clock. These Lectures will be adapted for Students working for the THOMAS

B.Sc. Examinations (Pass and Honours), and the Honours Examinations

of the Science and Art Department. For full particulars apply to the SECRETARY of the Physics Classes.

D. RUSSE

78 NEWGATE STREET, LONDON,

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