# 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 - 456 уелЯдет

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Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### Ресйечьменб

 Definitions 11 Addition 23 Subtraction 30 Powers of Numbers 39 Division 47 Successive Division 55 General Problems in Simple Numbers 61 Prime Numbers 68
 For Division 241 PROPORTION 247 Compound Proportion 253 PERCENTAGE 259 Applications 268 Instalments Assessments and Dividends 276 Gold Investments 285 Insurance 291

 Greatest Common Divisor 76 Least Common Multiple 82 Definitions Notation and Numeration 89 Addition 99 Subtraction 101 Division 107 DECIMALS 117 Addition 124 Division 132 Seduction of Circulating Decimals 139 UNITED STATES MONEY 145 Ledger Accounts 153 Continued Fractions 161 Measures of Capacity 170 Measure of Angles 177 French Measures and Weights f 184 Reduction 192 Reduction Ascending 199 Addition 208 Multiplication 214 DUODECIMALS 227 For Multiplication 233
 Taxes 298 Simple Interest 807 307 Partial Payments or Indorsements 314 Compound Interest 321 Discount 388 327 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

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 247 - In any proportion, the product of the means equals the product of the extremes.
УелЯдб 424 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -turn and the three remainders together; the square root of the product is the area.
УелЯдб 435 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
УелЯдб 353 - 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.
УелЯдб 385 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
УелЯдб 95 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
УелЯдб 169 - 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...
УелЯдб 401 - RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans.
УелЯдб 428 - 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.
УелЯдб 35 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.