## Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain Practical System of Arithmetick, Adapted to the United States |

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### Common terms and phrases

acres added allowing amount annuity annum answer Bought Bring bushels called cent ciphers cloth common compound containing continue cost cube currency decimal demand denominator difference Divide dividend divisor dollars dols English Entered equal EXAMPLES farthings federal money feet figure Find the value fraction gain gallon give given number given sum gross half hundred inches interest least left hand length less loss lowest measure merchant method miles mills mixed months Multiply neat New-York paid payment pence period piece pound present principal proportion quantity question quotient ratio received Reduce remainder right hand rods RULE sell share shillings simple sold solid sort subtract sugar TABLE tare term third thousand unit weight whole whole number wine worth yards

### Popular passages

Page 174 - IS the method of finding what quantity of each of tin ingre<linnts whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation Medial, and may be proved by it. CASE I.

Page 164 - 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...

Page 179 - Multiply the sum of the extremes by the number of terms, and half the product will be the answer. EXAMPLES. 1. The first term of an arithmetical series is 3, the last term 23, and the number of terms 1 1 ; required the sum of the series.

Page 158 - 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 204 - To measure a parallelogram, or long square. RULE. Multiply the length by the breadth, and the product will be the area, or superficial content.

Page 159 - 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...

Page 210 - Multiply the length by the breadth, and that product by the depth, divide the last product by 2150,425 the solid inches in a statute bushel, and the quotient will be the answer.

Page 178 - I 2,4,6,8, &c. is an ascending arithmetical series : o ( 8,6,4,2, &c. is a descending arithmetical series : The numbers which form the series, are called the terms of the progression ; the first and last terms of which aro called the extremes.* PROBLEM I.

Page 36 - Place the numbers so that those of the same denomination may stand directly under each other. 2. Add the first column or denomination together, as in whole numbers; then divide the sum by as many of the same denomination as make one of the next greater; setting down the remainder under the column added, and carry the quotient to the next superior denomination, continuing the same to the last, which add, as in simple addition.

Page 101 - Weight, which is the whole weight of any sort of goods, together with the box, cask, or bag, &c. which contains them. 2. Tare, which is an allowance made to the buyer, for the weight of the box, cask, or bag, ifec.