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Ehvcs's Spanish and English and English and Spanish Dictionary, 4 vols, in 1, bound in embossed cloth, marbled edgea Is. — — , Ditto, in half-morocco, gilt, marbled edgea . . . 5s. Gd. —— , Ditto, with the Grammar, bound in embossed cloth, marbled edges . Gs. , Ditto, with Ditto, in half-morocco, gilt, marbled edges . . Gs. Gd. Hamilton's English, German, and French, — German, French, and English, — French, German, and English Dictionary, 3 vols, in 1, bound in embossed cloth, marbled edges 4s. -—— , Ditto, in half-morocco, gilt, marbled edgea .... 4*. Gd. , Ditto, with the Grammar, bound in embossed cloth, marbled edges . 5s. — — , Ditto, with Ditto, m haff-morocco, gilt, marbled edges . . 5s. Gd. Bresslau's Hebrew and English Dictionary, with the Grammar, 2 vols, in ], bound m embossed cloth, marbled edges 8s. Gd. « — ■ ■■■ , Ditto, 2 vols, in 1, in half-morocco, gilt, marbkd ed(;c3 . . 9*. Gd. ): ^ 9 JOHN WBAIiB. 5 9, HIOH HOLBOEW. GREEK AND LATIN CLASSICS. In tlie course of PublicRtion, Price l», per Volume, (Lxccpt in seven instances, and titosc arc at Ijr. 6(f. or 2«. each), VERY NEATLY PRINTKD OS GOOD PAPER, A SERIES OF VOLUMES CONTAININO THE PRINCIPAL GREEK AND LATIN AUTHORS, ACCOMPANIED BY EXI'LANATORY NOTES IN ENGLISH, PUINCIl'ALLY SELECTED FROM THE BEST AND MOST RECENT GERMAN COMMENTATORS, AND COMPRISINO nil those Works that are essential for the Scholar and the Pupil, and applicable for use at the Universities of Oxford, Cambridge, Edin- burgh, Glasgow, Aberdeen, and Dublin, — the Colleges at Belfast, Cork, Galway, Winchester, and Eton, and the great Schools at Harrow, Rugby, &c., — also for Private Tuition and Instruction, nud for the Library. Several of the Volumes have appeared ; the others will be i)ub- lished at short intervals. J LATIN SERIES. 1. A new Latin Delectus, containing Extracts from Classical Autliors, willi Genealogical Vocabularies and Explanatory Notes. " Possesses the merits of originality and soundness of plan." — Mumhg Chronicle. 2. Cesar's Commentaries on the Gallic War: with Grammatical and Expla- natory Notes in English, and a complete Geographical Index. 3. Cornelius Nepos ; with English Notes, &c. 4. Virgil. The Georgics, Bucolics, and doubtful Works; with English Notes. " The notes are judicious and valuable." — Liverpool Mercury. 5. Virgil's iENEin (on the same plan as the preceding). 6. Horace. Odes and Epodes ; with English Notes, an Analysis of each Ode, aud a lull explanation of the metres. 7. lIoRACE. Satires and Epistles, with English Notes, &c. 8. Sallust. Conspiracy of Catiline, and Jugurthine War. 9. Terence. Andria and Heautontimorumfenos. 10. Terence. Phormio, Adelphi, and Hecyra. 11, CicsRo. Oratiop* against Catiline, for Sulla, for Archiaa, and for the ^lanilian Law. 10 JOHN WBALB, 59, HlOn HOLBOHW. 12. Cicero. First and Second Philippics ; Orations for Milo, for Marcellus, and for Ligarius. 13. Cicero. De Officiis. 11. Cicero. De Amicitia, de Senectute, and Brutus. 15. Juvenal and Persius. (The indelicate passages expunged.) IG. LivY. Books i. to v. in 2 parts. 17. LivY. Books xxi. and xxii. 18. Tacitus. Agricola; Germania; and Annals, Book i. 19. Selections from Tibullus, Ovid, Propertiu?, and Lucretius. 20. Selections from Subtonius and the later Latin Writers. Allowing vols. 2 and 5 at 2s. each, vol. 16 divided into 2 parts, Is. 6d. each, and the remainder at Is. each, the tweuty-one volumes would amount to 24*. GREEK on a similar flan 1. Introductory Greek Reader. On the same plan as the Latin Reader. 2. Xenophon. Anabasis, 1. ii. iii. 3. Xenophon. Anabasis, iv. v. vi. vii. 4. Lucian. Select Dialogues. 5. IIoMER. Iliad, i. to vi. '6. HoMER. Iliad, vii. to xii. 7. IIoMER. Iliad, xiii. to xviii. 8. Homer. Iliad, xix. to xxiv. 9. Homer. Odyssey, i. to vi. 10. Homer. Odyssey, vii. to xii. 11. Homer. Odyssey, xiii. to xviii. 12. Homer. Odyssey, xix. to xxiv. ; and Hymns. 13. Plato. Apology, Crito, and Phado. 14. Herodotus, i. ii. 15. Herodotus, iii. iv. 16. Herodotus, v. vi. and part of vii. 17. Herodotus. Remainder of vii. viii. and ix. 18. Sophocles; (Edipus Rex. 19. Sophocles ; (Edipus Colonseus. 20. Sophocles; Antigone. 21. Sophocles; Ajax. 22. Sophocles; Philoctetes. 23. Euripides; Hecuba. SERIES, to the latin series. 24. Euripides; Medci.. 25. Euripides; Hippolytus. 26. Euripides; Alcestis. 27. Euripides; Orestes. 28. Euripides. Extracts from the re. maining plays. 29. Sophocles. Extracts from the re- maining plays. 30. iEscHYLus. Prometheus Vinctus. Persae. Septem contra TheLas. Choephorse. Eumenides. Agamemnon. Supplices. Select Lives. Clouds. Frogs. 31. ^SCHYLUS. 32. iEsCHYLUS. 33. iEsCHYLUS. 34. iGsCHYLUS. 35. iEsCHYLUS. 36. iEsCHYLUS. 37. Plutarch. 38. Aristophanes. 39. Aristophanes. 40. Aristophanes. Selections the remaining comedies. 41. Thucydides, i. 42. Thucydides, ii. 43. Theocritus, Select Idyls. 44. Pindar. 45. isocrates 46. Hesiod. from Forty-six Volumes. Allowing 2#. for vol. 14, and 1«. 6d. each for vols. 15, 16, 17, the amount would be 48*. 6d. These series of the Latin and Greek Classics, togciaer making 66 vols., costing when complete £3. 12». 6c?., will form the most comprehensive and useful collection ever yet proposed for publication, Copies durably and neatly bound, 1». extra; either in parts as enu- merated above, or each volume contaming an entire work (e.g. the Anabasis or the Iliad). ?» 11 PEACnCAL SCIENCE. ^ -# In one Volume large 8vo, ivith 13 Plates, Price One Guinea, in half-morocco binding. MATHEMATICS fOB PRACTICAL MEN: BBINO A COMMONPLACE BOOK ov PURE AND MIXED MATHEMATICS, DBSiaiiEO CniEXhl FOn THB USK OV CIVIL ENGINEEES, ARCHITECTS, AND SURVEYOrvS. BY OLINTHUS GREG CRY, LL.D., F.R.A.S. ^ *- THIRD EDITION, KEVISED AND ENLARGED. BY HENRY LAW, OITIL SnaillEEBi 12 PBACTICAL SCIENCE. -!» MATHEMATICS FOR PRACTICAL MEN CONTENTS. PART I.— PURE MATHEMATICS. CHAPTEri. I.— AuiTUMETio. Skct. 1. 2. Z. 4. I I Definitions and Notation. Addition of Whole Numbers. Subtmction of Whole Numbers. Multiplication of Whole Numbers. 5. Division of Whole Numbers. — Proof of the first Four Bules of Arithmetic. 6. Vulgar Fractions.— Reduction of Vul- gar Fractions. — Addition and Sub- traction of Vulgar Fractions. — Mul- tiplication and Division of Vulgar Fractions. 7. Decimal Fnictions. — Reduction of Decimals. — Addition and Subtrac- tion of Decimals. — Multiplication and Division of Decii. is. 8. Complex Fractions used in the Arts and Commerce. — Reduction. — Addi- tion. — Subtraction and Multiplica- tion. — Division. — Duodecimals. 9. Powers and Roots. — Evolution. 10. Proportion. — Rule of Three. — Deter- mination of Ratios. 11. Logarithmic Arithmetic. — Use of the Tables. — Multiplication and Division by Logarithms. — Proportion, or the Rule of Three, by Logarithms. — Evolution and Involution by Log- arithms. 12. Properties of Numbers. CHAPTER IL— Algebra. 1. Definitions and Notation. 2. Addition and Subtraction. 3. Multiplication. 4. Division. 5. Involution. (5. Evolution. 7. Surds. — Reduction. — Addition, Sub- traction, and Multiplication. — Di- vision, Involution, and Evolution. 8. Simple Equations. — Extermination. — Solution of Qeneral Problems, Skct. 9. Quadratic Equations. 10. Equations in General. 11. Progre.ssion. — Arithmetical Progres- sion. — Geometrical Progression. 12. Fractional iiud Negative Exponents. 1 3. Logarithms. 14. Computation of Formulae. 1. o 3. 4. 2. 3. 1. 3. 4. CHAPTER III.— Geometry. Definitions. Of Angles, and Right Lines, and their Rectangles. Of Triangles. Of Quadrilaterals and Polygons. Of the Circle, and Inscribed and Cir- cumscribed Figures. Of Planes and Solids. Practical Geometry. CHAPTER IV.— Mensuration. Weights and Measures. — 1. Measures of Length. — 2. Measures of Surface. — 3. Measures of Solidity and Ca- pacity. — 4. Measures cf Weight. — 5. Angular Measure. — 6. Measure of Time. — Comparison of English and French Weights and Measures. Mensuration of Superficies. ]\Iensiu:ation of Solids. CHAPTER v.— TniGOKOMETKT. Definitions and Trigonometrical For- mulae. Trigonometrical Tsibles. General Propositions. Solution of the Cases of Plane Trian- gles. — Right-angled Plane Triangles. On the application of Trigonometry to Measuring Heights and Distances. — - Determination of Heights and Distances by Approximate Mechani- cal Methods. 13 FSACTICAL SCIENCE. ^ I -KS MATHEMATICS FOR PRACTICAL MEN. CHAPTER YI.— Conic Skctioks, Sect. 1. Definitions. 2. Properties of the Ellipse. — Problems relating to the Ellipse. 3. Properties of the Hyperbola. — Pro- blems relating to the Hyperbola. •i. Properties of the Parabola. — Problems relating to the Parabola. CHAPTER YII.— Properties op ClRVES. Sect. 1. Definitions. 2. The Conchoid. 3. The Cissoid. 4. The Cycloid and Epicycloid. 5. The Quadratrix. (5. The Catenary.— Tables of Relations! of Catenarian Curves. PART II.~MIXED MATHEMATICS. CHAPTER I.— Mechanics in General. CHAPTER II.— Statics. 1. Statical Equilibrium. 2. Center of Gravity. 3. General application of the Principles of Statics to the Equilibrium of Structures. — Equilibrium of Piers or Abutments. — Pressure of Earth ngainst Walls.— Thickness of Walls. — Equilibrium of Polygons. — Sta- bility of Arches. — Equilibrium of Suspension Bridges. CHAPTER III.— Dynamics. 1. General Definitions. 2. On the General Laws of Uniform and Variable Motion. — Motion uniformly Accelerated. — Motion of Bodies iin- dir the Action of Gravity. — Motion over a fixed Pulley. — Motion on Inclined Planes. 3. notions about a fixed Center, or Axis. — Centers of Oscillation and Per- cussioii. — Simple and Compound Pendulums. - Center of Gyration, and the Principles of Rotation. — Central Forces. — Inquiries connected •with Rotation and Central Forces. •1. Percussion or Collision of Bodies in Motion. 5. On the Mechanical Powers.— Levers. —Wheel and Axle.— Pulley.— In- clined Plane. — Wedge and Scraw. CHAPTER IV.— HvDr.03TATiC3. General Definitions. Pressure and Equilibrium of Non- elastic Fluids. Floating Bodies. 4. Specific Gravities. 6. On Capillary Attraction. CHAPTER v.— HrDRODYNAMics. 1. Motion and Effluence of Liquids. 2. Motion of Water in Conduit Pipes and Open Canals, over Weirs, &c. — Velocities of Rivers. 3. Contrivances to Measure the Velocity of Running Waters. CHAPTER VI.— Pneumatics. j 1. Weight and Equilibrium of Air r.r.d ; I'Hastic Fluids. | 2. Machines for Raising Water by the i Pressure of the Atmosphere. 1 3. Force of the Wind. I 1. o CHAPTER VII.— Mkchanicai, AoENia. : Water as a Mechanical Agent. Air as a Mechanical Agent. — Gou- ] lomb's Experiments. Mechanical Agents depending upon Heat. The Steam Engine.— Table of Pressure and Temperature of Steam. — General Description of the i Mode of Action of the Steam Engine. — Theory of the Steam Engine. — Description of the various kiyds tf j ^ ^ 14 PRACTICAL SCIEHCE. MATHEMATICS FOR FRAOTIOAL MEN. Snci EngincB, and the FonnulaB for calcu- lating their Power. — Practical appli- cation of the foregoing Formulae. 4. Animal Strength as aMechanicalAgent. CHAPTER VIII.— Strknqih op Materials. 1. Results of Experiments, and Principles upon which they should be practically applied. 2. Strength of Materials to Resist Tensile and Crushing Strains. — Strength of Columns. Sect. 3. Elasticity and Elongation of Bodies subjected to a Crushing or Tensile Strain. 4. On the Strength of Materials subjected to a Transverse Strain. — Longi- tudinal form of Beam of uniform Strength. — Transverse Strength of othci Materials than Cast Iron. — The Soo^gth of Beams according to the manr>9i in which the Load is distributed. 5. Elasticity of bodies subjected to a Transverse Str.vin. 6. Strength of Matei'ds to resist Torsion, I. n. III. IV. V. VI. VIL VIII. IX. ' X. XL XIL XIII. XIV. XV. APPENDIX Table of Logarithmic Differences. Table of Logarithms of Numbers, from 1 to 100. Table of Logarithms of Numbers, from 100 to 10,000. Table of Logarithmic Sines, Tangents, Secants, &c. Table of Useful Fiictors, extending to several places of Decimals. Table of various Useful Nurcbers, with their Logarithms. A Table of the Diameters, Areas, and Circumferences of Circles and ,^^9^0g?').O^^AOi 0^9^9^^^^^^ ^c^.^^, ^3c^^9^^9i?^ KKCKNTLY CONSTUUCTKD IMPORTANT PUnLIC WORKS. PAPERS AND PRACTICAL ILLUSTRATIONS OF PUBLIC WORKS, OF RECENT CONSTRUCTION, BOTH BRITISH AND AMERICAN. ^ upijlcmcntrirn to jjvrbtmii ^Dulltrattaiii*. CONTEXTS : 1. Memoir of the Ninpara Falls and Intcrrationai Suspension Bridge, by Jolni Roehling, C. E., of U. S. Tventy-tuo plates, coniprisiiig all the details for constniction. 2. Memoirs of the late Briiradicr-Gcncral Sir Samuel Bentham, with an Account of his Inventions. 3. Tiie Paddock Viaduct, by John Ilawkshaw, F. R. S., C. E. Eight plates. 4. Locknood Viaduct, by John Ilawkshaw, F. R. S., C. E. Four plates. 5. Deni)y Dale Viaduct, by John I lawkshaw, F. R. S., C. E. Three plates. G. Titholiarn Street Viaduct, Livciiiool, by John Ihiv.kshaw, b'. 11. S., C. E. Three ])lates. 7. Newark Dyke Bridge on the Great Northern Railway, by Joseph Cubitt, C. E. Ten plates. 8. Mountain Top Track in the State of Virginia, by Charles Ellet, C. E., of U. S. '.). Freliiniiuiries to Good Building, by Edward Lacy Garbett, Architect. ID. Suggestions for Increasing the Circulating Medium in Aid of Com- nierce and Mechanical Enterprise. Reviews, Communications, &c., American and Home Correspondence. Fifty Engravings, price 25s. JOHN WEALE. 1857. 16 PUHLISHED BY MR. WRALE. ELEMENTS OF MECHANISM ■LUCIDATINO THE SCIENTIFIC PRINCIPLES w THE FBACTICAL COKSTEUCTION OF UACHINES. FOR THE USB OF SCHOOLS AND STUDENTS IN MECHANICAL ENGINEERK.'d WI73 NUMEROUS SPECIMENS OF MODERN MACHINES. REMARKABLE FOR THEIR UTILITY AND INQENUITZ^ BY T. BAKER, C.E., Author of "Railway Engineering," "Land and Engineering Surveying, " Mensuration," " Principles and Practice of Statics and Dynamics," " Integration of DilTtireutials," Sic Sic Ir- XLLCSIBATfiD BT TWO HUNDBED AND rOBXT-THBBB ENGBAYIKQak Trice 'it. i *M