## The American Tutor's Assistant, Improved: Or, A Compendious System of Practical Arithmetic ... |

### Common terms and phrases

9 dol acc't transferred account transferred acres aliquot amount annuity annum barter Bought bushel cash in full casks compound interest Compound Multiplication containing cost cube root cyphers Daniel Whitney decimal denominator Divide dividend divisor dollars dolls drams Duncan Jones ell English EXAMPLES Facit feet figures folio gain gallons gross half yearly hogsheads improper fraction inches integer Jan'y Jane Russel lowest terms merchant miles mills months Multiply neat weight Observe the Notes ounces payments pence perches persons pieces pounds present worth principal PROOF purchase quarters quarts quotient rate per cent ratio involved ready money Reduce remainder Rule of Three Samuel shillings sold square root sterling subtract sugar sundries Table tare transferred from Ledger transferred to Ledger Troy Weight VULGAR FRACTIONS wheat whole numbers wine yards of cloth

### Popular passages

Page 93 - RULE.* Multiply the principal by the rate per cent, and divide the product by 100: the quotient will be the interest for 1 year.

Page 167 - Multiply the number of terms, less 1, by the common difference, and to the product add the first ; term, the sum is the last term.

Page 167 - Note. — In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.

Page 66 - Divide both terms by the common measure, and the quotients will be the numerator and denominator 'of the fraction required: or, Divide the terms by any number that will divide them both without a remainder, and divide the quotients in the same manner...

Page 123 - To reduce a compound fraction to a single one. RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator, then reduce the new fraction to its lowest term by Case I.

Page 65 - ... less is when the third term is less than the first, and requires the fourth term to be less than the second.

Page 157 - ... for a divisor; the quotient of this division will be the present worth. Or, Take two numbers under the given rate in Table IV. viz. that opposite the sum of the two given times, and that against the time of reversion, and multiply their difference by the annuity of the present worth. When the payments are half yearly or quarterly, use Table V.

Page 124 - To reduce the fraction of one denomination to the fraction, of another, but less, retaining the same value. RULE. Multiply the...

Page 187 - A cistern for water has two cocks to supply it, by the first it may be filled in 45 minutes, and by the second in 55 minutes; it has likewise a discharging cock, by which it may, when full, be emptied...

Page 2 - An Act for the Encouragement of Learning, by securing the copies of Maps, Charts, and Books, to the authors and proprietors of such copies during the time* therein mentioned," and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints.