FOLLOWING SUBJECTS: 1. English Grammar, 5. Mensuration, and 12. Aftronomny. and Elocution. Architecture. 13. Mechanics. 2. Penmanship, and 6. Optics. 14. Electricity. Short Hand. 7. Algebra. 15. Pneumatics. 3. Arithmetic, Vulgar 8. Doctrine of Annuities 16. Hydroftatics. and Decimal. 9. Trigonometry. 117. Hydraulics. 4. Stock-holding, and 10. Logarithms. 18. Drawing, Engraving, Merchants Accompts 11. Geography. and Painting. Embellished with Twenty Copper-plates and Six Maps, neatly engraved. By THOMAS HODSON, THIRD EDITION IN TWO VOLUMES, VOL. I. LONDON: PRINTED FOR H. D. SYMONDS, PATERNOSTER ROW; AND VERNOR, HOOD, AND SHARPE, POULTRY. The general utility of a work of this nature supersedes the necessity of a Preface. But it may be thought necessary to say a few words concerning the manner in which the subjects are arranged. In the rules in Vulgar Arithmetic, I have somewhat departed from the order generally followed, in order to render that science more intelligible, and easy of attainment, to those who choose to go regularly through it. Almost every writer on Arithmetic follows a different order in the disposition of his work; though every one must be fenfible of the absurdity of teaching those rules which depend chiefly upon fractions, as Practice, &c. before the learner is acquainted with the doctrine of Vulgar Fractions. It may be observed, that any rule in Arithmetic may with equal propriety be attempted, when the learner is fufficiently skilled in the four single rules. The rules of Interest are also placed under the chapter of Stock-holding; and Tare and Tret in that of Merchants Accompts, being more intimately connected therewith. In the chapter of Optics, I have endeavoured to render the practical part of that useful science as intelligible as poffible, avoiding all algebraical and mathematical calculations (though necessary in complete fcientific A 2 |