I need not point out the great utility of such a performance; it is sufficiently evident to all who are employed in this branch of education, especially such as have the care of a numerous school, and experience the difficulties that teachers in general labour under with respect to time; a grievance that must continue, while their remuneration is so very inadequate to their labours. I hope the gentlemen of the profession will do me the justice to believe, that my design in this performance was not to dictate to, but ease the master; and the skilful teacher will no doubt vary the work of the questions according to the nature of the several rules. The Tutor's GUIDE and its Key furnish a Complete System of ARITHMETIC, and will enable those, who are acquainted with the first principles, to attain (without the assistance of a master) a competent knowledge of the several Rules with ease and precision. The favourable reception the former editions have met with, encourages me to hope that the alterations and corrections which have been made in this, will merit the approbation of those gentlemen, who have kindly interested them selves in behalf of my former endeavours, to whom I return my most sincere thanks; and remain, With the utmost Esteem and Respect, Their and the Public's much obliged, Obedient humble Servant, CHARLES VYSE. London, 1807. Charles By ...... ............ 115 77 PART I. BOOK II. Exchange with Fellowship Double ... 103 Division .... 148 161 Rebate or Discount ...... 198 16+ Equation of Payments ... 200 Extraction of the Square Compound Interest 201 .......................... 172 Arrears Extraction of the Cube Present Worth of Annui. ... 177 ties ...... Single 181 210 Vibrations of Pendulums 186 Purchasing Freehold or Annuities, Pensions, &c. Questions in Arrears 192 .......... 210 ....... 217 .......... 186 ..... 220 PART IV. MENSURATION. Definitions ..... ... 223 Problems in Solids ...... 246 Problems in Superficials 226 Questions for Exercise 259 Of Artificers' Works ...... 238 Specific Gravity 262 Questions for Exercise 2+2 PART V., Chronology ..... 266 Examples on the Celestial Examples on the Ter- Globe 275 restrial Globe .... 273 |
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