## The National Arithmetic ...: Combining the Analytic and Synthetic Methods, in which the Principles of Arithmetic are Explained ... Containing Also Practical Systems of Mensuration, Guaging, Geometry, and Book-keeping; Forming a Complete Merchantile Arithmetic ... |

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### Common terms and phrases

acres amount answer Arithmetic Balance barrel bill body Boston Bought breadth bushels called cash cents Change circle cloth common compound contain cords cost cube decimal denominator diameter difference distance Divide dividend divisor dollars equal EXAMPLES exchange feet feet long figure five flour following RULE foot fraction gain gallons give given half hand Hence hundred inches interest John June length less measure merchant miles mixed months Multiply Note OPERATION ounces paid payment pence perform piece pounds present principal PROBLEM proportion quantity question quotient ratio received Reduce remainder rods root RULE School share shillings side sold square subtract sugar Sundries taken term third thousand tons United week weight whole wide wine worth write yards

### Popular passages

Page 144 - 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, till all the payments are absorbed ; provided the time between one payment and another be one year or more.

Page 200 - 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) for the first figure of the root, and the square number, under the period, and subtract it therefrom, and to the remainder bring down the next period for a dividend.

Page 38 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 267 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...

Page 141 - COMPUTE the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due: add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...

Page 29 - 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 105 - To reduce a mixed number to an improper fraction. RULE. Multiply the whole number...

Page 172 - Multiply the second and third terms together, and divide their product by the first, and the quotient is the answer in the same denomination to which the third is reduced. If any thing remains after division, reduce it to the next lowest denomination, and divide as before.

Page 230 - If the errors are alike, divide the difference of the products by the difference of the errors, and the'quotienl will be the answer.

Page 184 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.