# Mathematics: Compiled from the Best Authors, and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1

W. Hilliard, 1808 - Mathematics

### Contents

 OF 9 Multiplication 19 Reduction 34 Compound Addition 40 DUODECIMALS 50 Reduction of Vulgar Fractions 56 Addition 65 Subtraction of 71
 PermutationCombination and Composition of Quantities 198 Miscellaneous Questions 210 121 214 LOGARITHMS 216 Description and Use of the Table of Logarithms 222 Division by do 228 70 233 Addition 237

 FEDERAL MONEY 83 Addition of 91 PROPORTION IN GENERAL 95 Simple Proportion or Rule of Three 97 Practice 110 Conjoined 121 Involution 128 Involution 133 Arithmetical Progression 138 Extraction of the Square Root 140 Extraction of the Square Root 143 Arithmetical Progression 151 Geometrical 164 by Decimals 166 Discount 170 Equation of Payments 175 Compound Interest 181 ibid 187 Value of an Annuity in Reversion at Compound Interest 193
 Multiplication 244 Division 251 Fractions 259 Involution 273 Surds 280 ibid 285 Infinite Series 289 Simple Equations 295 Reduction of two three or more Simple Equations to one 301 Quadratic Equations 316 Cubic and Higher Equations 330 71 332 GEOMETRY 339 Problems 349 Construction of the Plane Scale Prob L 380 380 PLANE TRIGONOMETRY 387 MENSURATION OF SUPERFICIES 405 LIBRARY 447 UNIVERSITY 464