sum, or half the difference, will give the greater or lesser segment accordingly. NOTE. The forms for the open beam, Problem XVI. Class (G) being precisely the same as those for the grooved beam in this problem, with the exception of the parenthetical expression, it seems unnecessary to give separate rules for the calculation; and the more especially as the fractional number is always supposed to be given. The formulæ for the principal cases of torsion being the same as those for the corresponding cases of transverse strength, the rules which apply to the several cases of the one are equally applicable to the corresponding cases of the other, provided that the letter r be substituted for 7 in each of them: for this reason we refrain from giving the rules for the resistance to torsion; and we may further observe, that the useful practical cases of compression and tension being expressed by equations of such a simple form, it seems needless to give rules in words for their solution, we therefore omit them. The following Works are just published by J. TAYLOR. AN ENTIRELY NEW AND ENLARGED EDITION OF THE BUILDER'S & WORKMAN'S NEW DIRECTOR; Comprehending Definitions and Descriptions of the Component Parts of Buildings, the Principles of Construction, and the Geometrical Development of the chief Difficulties that usually occur in the different Branches of Mechanical Professions employed in the Formation of Edifices; with separate Essays on the different Trades concerned in Building. BY PETER NICHOLSON, ARCHITECT. To be completed in Eight Monthly Parts, price 6s. each, comprising 140 Quarto Engravings. A POPULAR AND PRACTICAL TREATISE ON MASONRY AND STONE-CUTTING; CONTAINING The Construction of Profiles of Arches, Hemispheric Niches, Hemispheric Domes, Cylindric Groins, Vertical Conic Vaults, Cylindro-Cylindric Arches, Right Arches, Oblique Arches, and Gothic Ceilings: ESSENTIAL FOR THE ENGINEER, ARCHITECT, BUILDER, AND STONE-MASON. The Articles being preceded by the requisite Information in Plane and Solid Geometry. With 43 Plates, in royal 8vo. BY PETER NICHOLSON, Esq. AUTHOR OF THE Architect and Engineer ; ARCHITECTURAL DICTIONARY,' GUIDE," AND OTHER WORKS ON MATHEMATICAL SUBJECTS. Second Edition, price 18s. in boards. N.B. All the Publications of Mr. Nicholson are constantly on sale, in good binding, at prices suitable for Workmen. Works published by J. TAYLOR, Architectural Library. ELEMENTARY PRINCIPLES OF CARPENTRY: A Treatise on the Pressure and Equilibrium of Beams and Timber Frames, the Resistance of Timbers, and the Construction of Floors, Roofs, Centres, Bridges, &c. WITH PRACTICAL RULES AND EXAMPLES: TO WHICH IS ADDED, AN ESSAY ON THE NATURE AND PROPERTIES OF TIMBER; Including the Methods of Seasoning, and the Causes and Prevention of Decay; with Descriptions of the Kinds of Wood used in Building; also numerous Tables of the Scantlings of Timber for different Purposes, the Specific Gravities of Materials, &c. Illustrated by Twenty-two Engravings. BY THOMAS TREDGOLD, CIVIL ENGINEER. THE PRINCIPLES OF MECHANICS: EXPLAINING AND DEMONSTRATING The General Laws of Motion, the Laws of Gravity, Motion of Descending Bodies, Projectiles, Mechanic Powers, Pendulums, Centres of Gravity, &c.; Strength and Stress of Timber, Hydrostatics, and Construction of Machines. BY WILLIAM EMERSON. To which is now added, AN APPENDIX, Containing Explanatory Notes, Illustrations, and Observations, A New Edition, corrected; illustrated by Eighty-three Copper-plates, and other Figures in Wood. 8vo. Price 15s. ** A Catalogue of all Works upon Architecture, and the different Branches of Building, may be had gratis. STANDARD WORKS UPON ARCHITECTURE, ORNAMENTAL COTTAGES AND VILLAS, CIVIL ENGINEERING, ETC., PUBLISHED BY M. TAYLOR, 1 WELLINGTON ST., STRAND, LONDON. *** These publications wilt be forwarded to any part of the United Kingdom, carriage free, upon receipt of a Post-Office order for the amount. Just Published, a TREATISE on the ECONOMY OF THE MARINE STEAM ENGINE, With Suggestions for its Improvement, and Notes upon various Subjects connected with Steam, 8vo. with Plates, 10s. 6d. By LIEUT. GORDON, R.N., H.M.S. Superb. THE ECONOMY of the MARINE STEAM ENGINE, further considered by the author, 8vo., 18. Just Published, in 8vo. price 28. PRACTICAL RULES FOR DETERMINING THE COURSE to be STEERED to ESCAPE from a HURRICANE; deduced from the Rotatory Theory established by Colonel Reid. By COMMANDER A. P. RYDER, R.N. "The author proceeds at once to his point, and has not uttered a word more than is necessary. Indeed, we are assured that the Lords of the Admiralty will place a copy of it on board every vessel in Her Majesty's service. Lloyd's should do the same by the mercantile marine."-Naval and Military Gazette. Just Published, TAYLOR'S ORIGINAL AND IMPROVED BUILDER'S PRICE-BOOK: Containing a correct List of Prices for all descriptions of Builder's Work, an abstract of the Metropolitan Building Act, adapted as a Guide to Surveyors and Builders; with Tables for the Purchase of Annuities and Leases, Weight and Strength of Materials, &c. The Prices calculated and adapted to the Changes consequent upon the New Tariff. Price 48. Just Published, THE SURVEYOR AND BUILDER'S ABSTRACT OF THE METROPOLITAN BUILDING 7 & 8 Vic. cap. 84, Pocket Size, Price 18. cloth. ACT, RETREATS; A SERIES OF DESIGNS, Consisting of PLANS and ELEVATIONS for COTTAGES, VILLAS, and Ornamental Buildings. By J. THOMSON, Architect. In royal 4to., on 41 Plates, coloured, 21. 28. The subjects contained in this work are divided into three classes, the first consisting of COTTAGE RESIDENCES or RETIREMENTS of a limited description, adapted to the environs of Cities; the second Class containing VILLAS or RETREATS of a higher order, and the third Class comprising ORNAMENTAL BUILDINGS, which may be considered appendages to the preceding designs, or which may be executed independently of them. Just Published, in large 4to. GARDEN DECORATIONS AND ORNAMENTAL SCENERY, Appropriate to Pleasure Grounds, selected from WHITE-KNIGHTS, a Seat of His Grace the late Duke of Marlborough. Containing 24 Plates, viz.: View of White-Knights from the New Gardens-View of White-Knights, ditto, 2d view-The Cembra Walk-The Gothic Chapel-View of White-Knights from the Woods-A Scene from the North Front of White-Knights-The Gothic Bower-The Fountain-The Diamond Seat-The Round Seat-The Cedar Seat The Fishing Seat-The Three Arched Seat-The Seat in the Woods-The Swiss Cottage-The Triangular Seat-The Pavilion-The Rustic Bridge-The Grotto-The Spring-The Spring, 2d view - The Spring Cottage-The Fishing Seat in the Arboretum.-Price 11. 11s. 6d. VILLA ARCHITECTURF, A COLLECTION of VIEWS, with PLANS, of Buildings executed, on 42 Folio Plates, elegantly coloured, 31. 3s. By ROBERT LUGAR, Architect. This Collection includes, A Lodge built for Mr. Okill, near Liverpool-A Design for East Horsley Park, near Leatherhead--An Entrance Lodge for Earl Cassilis-A Bailiff's Cottage, Crosby Hall, near Liverpool A Green-house for Sir Joseph Scott, near Birmingham - A Lodge for R. J. Thompson, Esq., Kirby Hall A Bailiff's House and Lodge for J. A. Case, Esq., near Liverpool-Farm-house and Offices built near Belfast-A Cottage designed. for P. B. Ainslie, Esq., Liverpool-Puckaster Cottage, James Vine, Esq., Isle of Wight-Yaxham Parsonage, Norfolk, the Rev. John Johnson, D.D.-School-house, Yaxham, Norfolk-A Farm-house designed for Robert Dawson, Esq., near Brecon Betsanger, near Sandwich, for F. E. Morriss, Esq.- Oxney, near Deal, for J. May, Esq.-New Zaithes, Horseforth, near Leeds, Charles Grimwood, Esq.-Swinton, Yorkshire, for W. Danby, Esq.-Hensol, near Castle Douglas, John Cunninghame, Esq.-Glengee, County of Ayr, Right Hon. Lady Ashburton-Warley, near Birmingham, H. Galton, Esq.-Lodge Cottage, for H. Galton, Esq.; Banqueting-house at Warley, near Birmingham-Markgate Cell, near St. Alban's, Hertfordshire, D. G. Adney, Esq.-Cyfarthfa Castle, Glamorganshire, William Crawshay, Esq. . Published by M. TAYLOR, 1, Wellington Street, Strand. A PORTRAIT OF JOHN SMEATON, CIVIL ENGINEER. Engraved in Line by Bromley, for the Society of Civil Engineers, India paper, 4to. 5s. TRACTS ON HYDRAULICS, Comprising Smeaton's Experimental Papers on the Powers of Water and Wind to Turn Mills, &c.; Venturi's Experiments on the Motion of Fluids; Dr. Young's Summary of Practical Hydraulics, with notes by the Editor, 2nd edit., illustrated by 7 Plates, in Royal 8vo. 12s. boards. Edited by THOMAS TREDGOLD, Civil Engineer. "If it were only as Examples of the method of reasoning from Experiments and Facts, the Papers of Smeaton, in their complete state, are truly valuable; but it also fortunately happens that they are on subjects which form part of the business of the Engineer and Millwright, and which ought to be well understood by the Civil Engineer."-TREDGOLD The ARCHITECT, ENGINEER, and OPERATIVE BUILDER'S Or a Practical and Scientific Treatise on the Construction of Artificial Foundations for Buildings, An ATLAS of R. & W. HAWTHORN'S LOCOMOTIVE ENGINE. Comprising Six Plates in correct Outline, giving the Sections, Plans, Details, &c. 10s. 6d. TREDGOLD'S PRINCIPLES of WARMING and VENTILATING Public Buildings, Dwelling-houses, Manufactories, Hospitals, Hot-houses, Conservatories, &c., and of constructing Fire-places, Boilers, Steam Apparatus, Grates, and Drying-rooms; with Illustrations, Experimental, Scientific, and Practical: to which are added, Observations on the Nature of Heat; and various Tables useful in the Application of Heat. To which are now added, some Observations on Heating by means of Warm Water, with Descriptions of various Apparatus in use, constructed upon that Principle. Including the extensive Royal Orangery at Windsor, the New Westminster Hospital, St. Thomas's Hospital, &c., 3rd edition, with 12 Plates, 8vo. 128. By T. BRAMAH, Civil Engineer. "We have very few works in which ventilation is considered in detail: the best I believe to be the work by the late Mr. Tredgold, on the ventilation and warming of rooms."-See Dr. Birkbeck's Examination, before the Select Committee on the Ventilation of the New Houses of Parliament. A PRACTICAL TREATISE ON THE ART OF MASONRY AND STONE-CUTTING: Containing the Construction of Profiles of Arches, Hemisphere Niches, Hemispheric Domes, Cylindric Groins, Vertical Conic Vaults, Cylindro-cylindric Arches, Right Arches, Oblique Arches, and Gothic Ceilings: essential to Engineers, Architects, and Stone-masons, each article being preceded by the requisite information in Plane and Solid Geometry; illustrated by Numerous Diagrams, on 43 elegantly Engraved Plates, a new edition, 12s. bound. By PETER NICHOLSON, Esq. Architect, Author of many works on Practical Architecture, &c. A TREATISE ON THE TEETH OF WHEELS. Demonstrating the best forms which can be given to them for the purposes of Machinery; such as MILL WORK and CLOCK WORK, and the art of Finding their Numbers. By M. CAMUS A New Edition, carefully revised and enlarged, with Details of the present practice of Millwrights Engine-makers, and other Mechanists, 8vo. 18 Plates, 12s. By J. I. HAWKINS, Civil Eng. A DESCRIPTION OF THE IRON BRIDGES OF SUSPENSION, Erected over the Menai Strait at Bangor, over the Conway in North Wales, and over the River Thames at Hammersmith. With Plates and Diagrams, and some account of different Bridges of Suspension in England and Scotland, and Calculations of the Strength of the Malleable Iron, founded on Experiments, the 3rd Edition, edited by the late T. TREDGOLD, Civil Engineer, 8vo. 4s. By T. G. CUMMING. |