# The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods Together with the Cancelling System : Forming a Complete Mercantile Arithmetic

Robert S. Davis, 1851 - 360 pages
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### Contents

 Contractions in Multiplication 37 Partial Payments 38 Tables of Money Weights and Measures 44 Compound Addition 50 Reduction 64 Compound Multiplication 78 Compound Division 86 Addition of Vulgar Fractions 110
 Chain Rule 221 General Average 227 Duodecimals 234 Table of Powers 240 Extraction of the Cube Root 248 Arithmetical Progression 257 Infinite Series 267 Alligation 275

### Popular passages

Page 205 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Page 257 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 224 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Page 323 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Page 94 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 317 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 291 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...
Page 104 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.
Page 275 - Alligation Medial, and Alligation Alternate. ALLIGATION MEDIAL, Is when the quantities and prices of several things are given, to find the mean price of the mixture composed of those materials.
Page 249 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.