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### Inhoudsopgave

 ARITHMETIC 1 Whole Numbers 15 Compound Rules Addition 73 Subtraction 85 Multiplication 93 Division 103 Proportion Direct 115 Inverse 124
 Evolution 249 Square Root 250 Cube Root 255 Roots in general by Approximation 260 Progression Arithmetical 263 Geometrical 269 LOGARITHMS Historical Introduction 277 Logarithmic al Arithmetic Multiplication 299

 Compound 126 Practice 129 Vulgar Fractions Notation 146 Reduction 148 Addition 175 155 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 232 Notation and Definitions 232 233 Addition 237 Subtraction 239 Multiplication 240 Division 241 Duodecimals 242 Involution 246
 Division 301 Arithmetical Complement 302 Proportion 305 Involution 308 Evolution 309 Promiscuous Examples 313 ALGEBRA Historical Introduction 315 Definitions and Notation 347 Subtraction 360 Multiplication 363 Division 369 Fractions 377 Involution 382 Newtons Rule for Binomials 385 Trinomials 387 Evolution 388 Surds Definitions 393 Reduction 394 Addition 400 Subtraction l 402 Multiplication 403 Division 404 Involution 406 Evolution 407 One unknown quantity 408 Two unknown quantities 425 Reduction of Affected Quadratics 435 Problems 443

### Populaire passages

Pagina xxii - 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...
Pagina 48 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Pagina 98 - 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.
Pagina 42 - AVOIRDUPOIS WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.
Pagina 448 - 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.
Pagina 54 - M. 60 minutes, 1 hour, h. 24 hours, 1 day, d. 7 days, . 1 week, w. 4 weeks, 1 month, mo. 13 months, 1 day and 6 hours, 1 Julian year, yr. Thirty days hath September, April, June and November ; February twenty-eight alone, all the rest have thirtyone.
Pagina 106 - 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.
Pagina 234 - ... 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...
Pagina 432 - 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.
Pagina 138 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.