Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain Practical System of Arithmetick, Adapted to the United States |
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Page 5
... period which I have devoted to the in- struction of youth in Arithmetic , I have made use of various systems which have just claims to scientific merit ; but the authors appear to have been deficient in an important point - the ...
... period which I have devoted to the in- struction of youth in Arithmetic , I have made use of various systems which have just claims to scientific merit ; but the authors appear to have been deficient in an important point - the ...
Page 15
... period of units , the second that of millions , the third billions , the fourth trillions , & c . as in the following number : 80 7 3 6 2 5 4 6 2 7 8 9 0 1 2 506 3. Period of 2. Period of 4. Period of Trillions . 8073 Billions . 625462 ...
... period of units , the second that of millions , the third billions , the fourth trillions , & c . as in the following number : 80 7 3 6 2 5 4 6 2 7 8 9 0 1 2 506 3. Period of 2. Period of 4. Period of Trillions . 8073 Billions . 625462 ...
Page 16
... periods of three figures each , as follows : 987 , Nine hundred and eighty - seven . 987 000 , Nine hundred and eighty - seven thousand . 987 000 000 , Nine hundred and eighty - seven million . 987 654 321 , Nine hundred and eighty ...
... periods of three figures each , as follows : 987 , Nine hundred and eighty - seven . 987 000 , Nine hundred and eighty - seven thousand . 987 000 000 , Nine hundred and eighty - seven million . 987 654 321 , Nine hundred and eighty ...
Page 121
... periods of time , but in a long course of years , it will be found to be very errone- ous . Although this method seems at first view to be upon the ground of simple interest , yet upon a little attention the following objection will be ...
... periods of time , but in a long course of years , it will be found to be very errone- ous . Although this method seems at first view to be upon the ground of simple interest , yet upon a little attention the following objection will be ...
Page 126
... periods of time , so that no loss shall be sustained by either party . RULE . - Multiply each payment by its time , and divide the sum of the several products by the whole debt , and the quotient will be the equated time for the payment ...
... periods of time , so that no loss shall be sustained by either party . RULE . - Multiply each payment by its time , and divide the sum of the several products by the whole debt , and the quotient will be the equated time for the payment ...
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Common terms and phrases
100 dollars acres annuity annum answer barter Bought bushels ciphers common denominator common difference compound interest contain debt Deduct demand dimes Divide dividend divisor dols duct equal EXAMPLES federal money figure Find the value fraction required gain or loss gallon gals geometrical series given number given quantity gross guineas hhds hundred improper fraction inches least common multiple left hand lowest terms measure miles mills milreas mixed numbers months Multiply neat weight New-England currency New-York NOTE number of shillings number of terms paid payment pence pound pound sterling present worth principal quotient rate per cent ratio ready money remainder Required the interest right hand rods Rule of Three sell separatrix simple interest sold solid feet square root sterling subtract subtrahend sugar tare third Thomas Grosvenor tret tuns VULGAR FRACTIONS whole number wine yards cost
Popular passages
Page 172 - 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 162 - 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 177 - 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 156 - 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 202 - 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 157 - 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 208 - 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 176 - 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 38 - 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 99 - 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.