## A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |

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### Common terms and phrases

added amount annuity annum answer Balance body Book bushels called cent circle common compound contained continued cost cube currency cyphers decimal denominator diameter difference discount ditto Divide dividend divisor dollars double English equal evident EXAMPLES expressed extremes Federal feet figure foot four fourth fraction gain gallons give given gold greater greatest half hand Hence hundred inches interest last term least length less livres loss manner mean measure method miles months Multiply Note number of terms operation paid payment pence pounds premium present worth principal Prob PROBLEM proportion quantity question quotient ratio Reduce remainder root Rule shillings side simple solid square square root sterling subtract Suppose Table taken third unit weight whole yard

### Popular passages

Page 4 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit...

Page 268 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, til! all the payments are absorbed ; provided the time between one payment and another be one year or more.

Page 197 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 205 - Find the first figure of the root by trial, and subtract its power from the" left hand period of the given number. 5. To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply, it by the number denoting the given power, for a divisor.

Page 269 - 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 period when the payments taken together exceed the interest due, and then the surplus is to be applied towards discharging the principal ; and interest is to be computed on the balance, as aforesaid.

Page 97 - ... if the shillings be odd ; and the third place by 1 "when the farthings exceed 12, and by 2 when they exceed 36.

Page 150 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time will 24 men build one 200 feet long, 8 feet high, and 6 feet thick ? 8 : 12 : : 20x6x4 24: 200x8x6 80 (lays, Jlns.

Page 361 - As the distance between the body to be raised, or balanced, and the fulcrum, or prop, is to the distance between the prop and the point where the power is applied, so is the power to the weight which it will balance.

Page 188 - Double the figures already found in the root, for a new divisor, (or, luing down your last divisor for a new one, doubling the right hand figure of it) and from these, -find the next figure in the root as last directed, and continue the operation, in the same manner, till you have brought down all the periods.

Page 288 - B. $380, to be paid as follows: $100 in 6 months, $120 in 7 months, and $160 in 10 months. What is the equated time for the payment of the whole ? Ans.