# The New Complete System of Arithmetic: Composed for the Use of the Citizens of the United States

D. Carlisle, 1802 - Arithmetic - 352 pages

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### Contents

 Simple Addition I 2 36 to Contračtions in Mutiplication 51 Probs reſulting from a compariſon of the preceding rules 44 64 Rules for the Square Root of Vulgar Fraćtions 103 Decimal Fračiions 126 Rules for reducing the Federal Coin and the Cur 137 Croſs Multiplication or uodecimals i 39 150 Rule of Three Direct in Vulgar Fraćtions 1 5 157
 Application and Uſe of the Cube Root 233 Proportion in general 239 Geometrical Proportion 248 Simple Intereſt 258 Diſcount 277 Loſs and Gain 283 Equation of Payments 291 Policies of Inſurance 29 299

 Abbreviation of Vulgar Fraćtions 166 Arbitration of Exchanges 173 Fellowſhip by Decimals 181 I 211 Involution 2 i 5 217 Application and Uſe of the Square Root 222 222
 Diſcount by Compound Intereſt 307 Preſent worth of Annuities at Compound Intereſt 319 Alternate 3 25 326 Double Poſition 334 The uſe of Logarithms 342 Weight of Engliſh and Portugueſe Gold in Dollars 351

### Popular passages

Page 243 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 216 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division...
Page 32 - I = One. II = Two. III = Three. IV = Four. V = Five. VI = Six. VII = Seven. VIII = Eight. IX = Nine. X = Ten. XI = Eleven.
Page 334 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other. RULE.
Page 93 - 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.
Page 92 - Multiply all the numerators continually together for a new numerator, and all the denominators for a new denominator, and they will form the simple fraction required.
Page 111 - ... therefore, divide as in whole numbers, and, from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 216 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of. 2. Find the greatest square number in the first, or left hand period...
Page 30 - First, commit the words at the head of the table, viz. units, tens,^ hundreds, &c. to memory, then, to the simple value of each figure, join the name of its place, beginning at the left hand, and reading towards the right.
Page 224 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.