# The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile Colleges : Forming a Complete Treatise on Arithmetical Science, and Its Commercial and Business Applications

Ivison, Blakeman, Taylor & Company, 1875 - Arithmetic - 456 pages
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### Contents

 Definitions 11 Addition 23 Subtraction 30 Powers of Numbers 39 Division 47 Contractions in Division 55 Factor Table 71 Greatest Common Divisor 76
 RATIO 243 Cause and Effect 249 PERCENTAGE 259 Applications 268 Instalments Assessments and Dividends 276 Gold Investments 285 Insurance 291 Taxes 298

 Least Common Multiple 82 Subtraction 101 Division 107 DECIMALS 117 Addition 124 Division 132 Reduction of Circulating Decimals 139 UNITED STATES MONEY 145 Ledger Accounts 153 FRACTIONS 160 Continued Fraetions 161 Measures of Capacity 170 Measure of Angles 177 French Measures and Weights 184 Definitions Notation and Numeration 192 Reduction Ascending 199 Addition 206 Multiplication 214 DUODECIMALS 227 For Multiplication 233
 Simple Interest 307 Partial Payments or Indorsements 314 Compound Interest 321 Discount 328 Exchange 337 Arbitrated Exchange 348 Compound Equations 357 Partnership 364 ALLIGATION 370 INVOLUTION 379 Contracted Method 386 Contracted Method 392 SERIES 398 Annuities 408 MISCELLANEOUS EXAMPLES 414 MENSURATION 421 Circles 428 Solids 435 Similar Solids 441 Boards and Timber 448

### Popular passages

Page 69 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Page 416 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Page 235 - In any proportion, the product of the means equals the product of the extremes.
Page 341 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 302 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 413 - ... 2. The square of the base, or of the perpendicular, of a right-angled triangle is equal to the square of the hypothenuse diminished by the square of the other side.
Page 133 - MONEY. 10 mills = 1 cent. 10 cents = 1 dime. 10 dimes = 1 dollar. 10 dollars = 1 eagle.
Page 329 - That the value of foreign coin as expressed in the money of account of the United States shall be that of the pure metal of such coin of standard value...
Page 157 - A pile of wood 8 feet long, 4 feet wide, and 4 feet high, contains 1 cord ; and n cord foot is 1 foot in length of such a pile.
Page 157 - Cubic Measure 1728 cubic inches (cu. in.) =1 cubic foot (cu. ft.) 27 cubic feet = 1 cubic yard (cu. yd.) 128 cubic feet = 1 cord (cd...