# A New System of Arithmetick: In which the Rules are Familiarly Demonstrated and the Principles of the Science Clearly and Fully Explained ...

Knowlton & Rice, 1832 - Arithmetic - 263 pages

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### Contents

 INDIEX 183 Involution 202 Extraction of the Cube Root 217 Mensuration of Superficies 226
 Duodecimals 233 Arithmetical Progression 244 Single Position 250 Useful Forms c 259

### Popular passages

Page 197 - ... but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together for a divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Page 129 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 10 - India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula...
Page 233 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 148 - 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. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. 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...
Page 245 - When any number of terms is continued in Geometrical Progression, the product of the two extremes will be equal to any two means, equally distant from the extremes : As 2, 4, 8, 16, 32, 64, where 64X2=4X32=8X16=128.
Page 8 - L, fifty; C, one hundred; D, five hundred ; M, one thousand.
Page 239 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 178 - Fellowship with time, is when the stocks of partners are continued unequal times. RULE. — Multiply each man's stock by the time it was continued in trade. Then, As the whole sum of the products is to the whole gain or loss, so is each man's particular product to his particular share of the loss or gain.* EXAMPLES.
Page 233 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.