## Welch's Improved American Arithmetic: Adapted to the Currency of the United States : to which is Added a Concise Treatise on the Mensuration of Planes and Solids |

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### Common terms and phrases

12 rods 1st step acres amount annex annum answer bushels cask cents circumference Compound cords corn cube root currency cyphers decimal diam diameter difference divide dividend divisor dollars dolls dols Dry Measure equal EXAMPLES feet long figure find the area find the solidity five four gain gallons girt given guage hewn improper fraction inches interest last product length measure method middle frustum miles mills mixed numbers months neat weight nine number of terms payment pence perpendicular pounds Practical Questions Questions.—1 quotient rateable estate remainder required to reduce rods roods round stick Rule of Three separatrix seven share shillings side sold solid feet solidity of square square root square timber stick of timber subtract tare third triangle Troy weight VULGAR FRACTIONS whole numbers width wine yard

### Popular passages

Page 81 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 64 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 214 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...

Page 84 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 109 - RULE.—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 equated time.* • , EXAMPLES.

Page 92 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.

Page 193 - RULE. — To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product by .0014 for ale gallons, or by .0017 for wine gallons.

Page 149 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.

Page 204 - There is an island 50 miles in circumference, and three men start together to travel the same way about it ; A goes 7 miles per day, B 8, and C 9 ; when will they all come together again, and how far will they travel ? Ans.

Page 163 - As 7 is to 22, so is the diameter to the circumference : or, as 22 is to 7, so is the circumference to the diameter.