# 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

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

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### Contents

 ARITHMETIC ix CoM Pound RULEs xvi HISTORICAL INTRoduction 1 WHole NUMBERs 15 TABLEs of Money 75 51 Addition 73 Subtraction 85 Multiplication 93
 Contracted 216 Division 218 Contracted 220 Reduction 224 Proportion Direct and Inverse 229 Compound 231 CIRCULATING DECIMALs Notation and Definitions 232 Reduction 233

 Division 103 PRoPort Ion Direct 115 Inverse 124 Compound 196 126 PRACTICE 129 VU LGAR FRACTIons Notation 146 Reduction 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
 Addition 237 Subtraction 239 Multiplication 240 i 241 DUODECIMALS 242 INvolution 246 Evolution 249 PRogRession 263 LOGARITHMS 273 LoGAR1th Mical ARITH Metic 299 ALGEBRA 315 SURDs 393 One unknown quantity 408 Two unknown quantities 425 429 Reduction of AFFECTED QUADRATIcs 435 PROBLEMs 443

### Popular passages

Page xxiv - 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 64 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 114 - 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 466 - 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 62 - Square Measure 144 square inches = 1 square, foot 9 square feet = 1...
Page 122 - 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 252 - ... 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 450 - 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 307 - 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 238 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...