Part 3. Levelling--Simple and Compound Levelling--The

Level Book--Parliamentary Plan and Section--Levelling with a Theodolite--Gradients--Wooden Curves--To Lay out a Railway Curve--Setting out Widths. Part 4. Calculating Quantities generally for Estimates--Cuttings and Embankments--Tunnels--Brickwork--Ironwork--Timber Measuring. Part 5. Description and Use of Instruments in Surveying and Plotting--The Improved Dumpy Level--Troughton’s Level--The Prismatic Compass--Proportional Compass--Box Sextant--Vernier--Pantagraph--Merrett’s Improved Quadrant--Improved Computation Scale--The Diagonal Scale--Straight Edge and Sector. Part 6. Logarithms of Numbers--Logarithmic Sines and Co-Sines, Tangents and Co-Tangents--Natural Sines and Co-Sines--Tables for Earthwork, for Setting out Curves, and for various Calculations, etc., etc., etc.

_Saws: the History, Development, Action, Classification, and Comparison of Saws of all kinds._ By Robert Grimshaw. _With 220 illustrations_, 4to, cloth, 12_s._ 6_d._

_A Supplement to the above_; containing additional practical matter, more especially relating to the forms of Saw Teeth for special material and conditions, and to the behaviour of Saws under particular conditions. _With 120 illustrations_, cloth, 9_s._

_A Guide for the Electric Testing of Telegraph Cables._ By Capt. V. Hoskiœr, Royal Danish Engineers. _With illustrations_, second edition, crown 8vo, cloth, 4_s._ 6_d._

_Laying and Repairing Electric Telegraph Cables._ By Capt. V. Hoskiœr, Royal Danish Engineers. Crown 8vo, cloth, 3_s._ 6_d._

_A Pocket-Book of Practical Rules for the Proportions of Modern Engines and Boilers for Land and Marine purposes._ By N. P. Burgh. Seventh edition, royal 32mo, roan, 4_s._ 6_d._

_Table of Logarithms of the Natural Numbers, from 1 to 108,000._ By Charles Babbage, Esq., M.A. Stereotyped edition, royal 8vo, cloth, 7_s._ 6_d._

To ensure the correctness of these Tables of Logarithms, they were compared with Callett’s, Vega’s, Hutton’s, Briggs’, Gardiner’s, and Taylor’s Tables of Logarithms, and carefully read by nine different readers; and further, to remove any possibility of an error remaining, the stereotyped sheets were hung up in the Hall at Cambridge University, and a reward offered to anyone who could find an inaccuracy. So correct are these Tables, that since their first issue in 1827 no error has been discovered.

_The Steam Engine considered as a Heat Engine_: a Treatise on the Theory of the Steam Engine, illustrated by Diagrams, Tables, and Examples from Practice. By Jas. H. Cotterill, M.A., F.R.S., Professor of Applied Mechanics in the Royal Naval College. 8vo, cloth, 12_s._ 6_d._

_The Practice of Hand Turning in Wood, Ivory, Shell, etc._, with Instructions for Turning such Work in Metal as maybe required in the Practice of Turning in Wood, Ivory, etc.; also an Appendix on Ornamental Turning. (A book for beginners.) By Francis Campin. Second edition, _with wood engravings_, crown 8vo, cloth, 6_s._

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_Health and Comfort in House Building, or Ventilation with Warm Air by Self-Acting Suction Power_, with Review of the mode of Calculating the Draught in Hot-Air Flues, and with some actual Experiments. By J. Drysdale, M.D., and J. W. Hayward, M.D. Second edition, with Supplement, _with plates_, demy 8vo, cloth, 7_s._ 6_d._

_Treatise on Watchwork, Past and Present._ By the Rev. H. L. Nelthropp, M.A., F.S.A. _With 32 illustrations_, crown 8vo, cloth, 6_s._ 6_d._

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Definitions of Words and Terms used in Watchwork--Tools--Time--Historical Summary--On Calculations of the Numbers for Wheels and Pinions; their Proportional Sizes, Trains, etc.--Of Dial Wheels, or Motion Work--Length of Time of Going without Winding up--The Verge--The Horizontal--The Duplex--The Lever--The Chronometer--Repeating Watches--Keyless Watches--The Pendulum, or Spiral Spring--Compensation--Jewelling of Pivot Holes--Clerkenwell--Fallacies of the Trade--Incapacity of Workmen--How to Choose and Use a Watch, etc.

_Spons’ Engineers’ and Contractors Illustrated Book of Prices of Machines, Tools, Ironwork, and Contractors’ Material; and Engineers’ Directory._ Third edition, 4to, cloth, 6_s._

_Algebra Self-Taught._ By W. P. Higgs, M.A., D.Sc., LL.D., Assoc. Inst. C.E., Author of ‘A Handbook of the Differential Calculus,’ etc. Second edition, crown 8vo, cloth, 2_s._ 6_d._

CONTENTS:

Symbols and the Signs of Operation--The Equation and the Unknown Quantity--Positive and Negative Quantities--Multiplication--Involution--Exponents--Negative Exponents--Roots, and the Use of Exponents as Logarithms--Logarithms--Tables of Logarithms and Proportionate Parts--Transformation of System of Logarithms--Common Uses of Common Logarithms--Compound Multiplication and the Binomial Theorem--Division, Fractions, and Ratio--Continued Proportion--The Series and the Summation of the Series--Limit of Series--Square and Cube Roots--Equations--List of Formulæ, etc.

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