# An easy introduction to the mathematics: in which the theory and practice are laid down and familiarly explained ... A complete and easy system of elementary instruction in the leading branches of the mathematics; ... Adapted to the use of schools, junior students at the universities, and private learners, especially those who study without a tutor. In two volumes, Volume 1

Printed by Bartlett and Newman ; [etc., etc..], 1814 - Mathematics

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### Contents

 PAGE ix ARITHMETIC xvi Historical Introduction 1 Whole Numbers 15 Tables of Money i 51 Compound Rules Addition 73 Subtraction 85 Multiplication 93
 Evolution 249 Square Root 250 Cube Root 255 Roots in general by Approximation 260 Progression Arithmetical 263 Geometrical 269 LOGARITHMS 273 Historical Introduction 277

 Division 103 Proportion Direct l1 Inverse 115 Compound 126 Practice 129 Vulgar Fractions 146 Notation 148 Addition 175 Subtraction 182 Multiplication 191 Division 197 Proportion Direct and Inverse 203 Compound 207 Decimals Notation 209 Addition 212 Subtraction 213 Multiplication 214 Contracted 216 Division 218 Contracted 220 Reduction 224 Proportion Direct and Inverse 229 Compound 231 Circulating Decimals Notation and Definitions 232 Reduction 233 Addition 237 Subtraction 239 Multiplication 240 Division 241 Duodecimals 242 Involution 246
 Logarithmic al Arithmrtic Multiplication 299 Division 301 Arithmetical Complement 302 Proportion 30 305 Involution 308 Evolution 309 Promiscuous Examples 313 ALGEBRA Historical Introduction 315 Definitions and Notation 351 Addition 355 Subtraction 360 Multiplication 363 69 369 Fractions 377 Involution 382 Newtons Rule for Binomials 385 Trinomials 387 Evolution 388 Surds Definitions 393 Reduction 394 Addition 400 Subtraction 402 Multiplication 403 Division 404 Involution 406 Evolution 407 Reduction of Simple EauATioNS 408 Two unknown quantities 425 Promiscuous Examples 432 Problems 443

### Popular passages

Page xxvi - Just so it is in the mind ; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to' make them mathematicians as to make them reasonable creatures...
Page 66 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 116 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 470 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 64 - Square Measure 144 square inches = 1 square, foot 9 square feet = 1...
Page 124 - State and reduce the terms as in the Rule of Three Direct. 2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 256 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 454 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Page 311 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
Page 242 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...