# A New Practical and Theoretical Arithemtic: In Which, in Addition to the Usual Modes of Operation, the Science of Numbers, the Prussian Canceling System, and Other Important Abbreviations, Hold a Prominent Place

E. Morgan & Company, 1845 - Arithmetic - 288 pages

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### Contents

 Numeration Page 12 Simple Addition 18 Simple Multiplication 24 Simple Division 32 SECTION II 40 Compound Numbers 49 Compound Addition 60 Compound Multiplication 66
 Simple Interest 151 Interest on Notes Bonds c 159 Compound Interest 166 PerCentage 176 Profit and Loss per cent 184 Exchange 192 Conjoined Proportion 199 Taxes 205

 SECTION III 75 Complex Fractions 82 Reduction of Fractions 88 Subtraction of Fractions 97 Addition of Decimals 103 Reduction of Decimals 110 SECTION IV 116 Application of Proportion 121 Compound Proportion 134 Practice 143
 SECTION V 212 Mensuration of Solids 219 Involution of Powers 226 Application of Square Root 235 Cube Root 241 Application of Cube Root 247 Approximate Cube Roots of Surds 254 Geometrical Progression 262 Position 269 Appendix 280

### Popular passages

Page 160 - The rule for casting interest when partial payments have been made is to apply the payment in the first place to the discharge of the interest then due.
Page 208 - Multiply each man's stock by the time he continues it in trade ; then say, as the sum of the products is to each particular product, so is the whole gain or loss to each man's share of the gain or loss. EXAMPLES. 1. A and B...
Page 133 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Page 134 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time...
Page 51 - AVOIRDUPOIS WEIGHT. 16 drams (dr.) make 1 ounce, marked oz. 16 ounces 1 pound Ib. 28 pounds 1 quarter qr. 4 quarters 1 hundred weight cwt. 20 hundred weight 1 ton T.
Page 136 - For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means.
Page 55 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 53 - TABLE. 4 gills (gi.) - make - - 1 pint, marked pt. 2 pints ------- 1 quart, - - - qt. 4 quarts ------ 1 gallon, - - - gal. 31£ gallons ------ 1 barrel, - - - bar. 63 gallons ------ 1 hogshead, - - hhd. 2 hogsheads ----- 1 pipe, - - - P.
Page 79 - OPERATIONS WITH FRACTIONS A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 182 - Multiply each payment by the time at which it is due ; then divide the sum of the products by the sum of the payments, and the quotient will be the time required.