A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
From inside the book
Results 1-5 of 8
Page 35
... PROB . I. Having the fum of two numbers and one of them given to find the other . Rule . Subtrad the given number from the given fum , and the remainder will be the number required . Let 288 be the fum of two numbers , one of which is ...
... PROB . I. Having the fum of two numbers and one of them given to find the other . Rule . Subtrad the given number from the given fum , and the remainder will be the number required . Let 288 be the fum of two numbers , one of which is ...
Page 36
... PROB . 3. Having the least of two numbers given , and the difference between that and a greater , to find the greater . Rule . Add them together . Given { 127 the lefs number , 198 the difference . Sum 325 the greater number required . PROB ...
... PROB . 3. Having the least of two numbers given , and the difference between that and a greater , to find the greater . Rule . Add them together . Given { 127 the lefs number , 198 the difference . Sum 325 the greater number required . PROB ...
Page 37
... PROB . 6. Having the difference of two numbers , and the difference of their fquares given , to find those numbers . Rule Divide the difference of their fquares by the dif- ference of the numbers , and the quotient will be their fum ...
... PROB . 6. Having the difference of two numbers , and the difference of their fquares given , to find those numbers . Rule Divide the difference of their fquares by the dif- ference of the numbers , and the quotient will be their fum ...
Page 171
... 96 ? 96x24-48 Anfwer . * These denominators give a small matter too much in the fquare root , and too little in the cube , yet they will be fufficient in com- mon ufe . PROB . II . To find the fide of a SQUARE ROOT . 171.
... 96 ? 96x24-48 Anfwer . * These denominators give a small matter too much in the fquare root , and too little in the cube , yet they will be fufficient in com- mon ufe . PROB . II . To find the fide of a SQUARE ROOT . 171.
Page 172
... PROB . III . A certain general has an army of 5625 men : Pray , how many muft he place in rank and file , to form them into a square ? 5625 = 75 Ans . * PROB . IV . Let 1852 men be fo formed , as that the number in rank may be double ...
... PROB . III . A certain general has an army of 5625 men : Pray , how many muft he place in rank and file , to form them into a square ? 5625 = 75 Ans . * PROB . IV . Let 1852 men be fo formed , as that the number in rank may be double ...
Common terms and phrases
aliquot amount annexed annuity annum anſwer Avoirdupois Boſton Bought bufhel cafe carats coft common difference compound intereft confequent coſt cube root cyphers decimal denominator diſcount divide dividend Divifion divifor dollars equal EXAMPLES fame farthings fecond Federal Money feet feries feveral fhall fhare fhillings fide filver fimple find the value firft term firſt fquare root fubtract fuch fugar gain or lofs gallons geometrical given number given price given quantity greateſt grofs Icwt improper fraction inches increaſed Integer laft laſt leaft lefs left hand leſs logarithm loweſt mixed number moidores months muft muſt number of terms pence pounds prefent worth principal PROB proportion purchaſe queſtion quotient rate per cent ratio Reduce refult remainder Rule of Three ſquare ſtand Suppofe TABLE tare theſe third thofe thoſe thouſand TROY WEIGHT VULGAR FRACTIONS whofe whole numbers whoſe yards coft
Popular passages
Page 60 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator; and they will form the fraction required.
Page 61 - Multiply each numerator into all the denominators except its own, for a new numerator : and all the denominators into each other continually for a common denominator; this written under the several new numerators will give the fractions required.
Page 73 - ADDITION OF DECIMALS. RULE. 1. Place the numbers, whether mixed or pure decimals, under each other, according to the value of their places.
Page 60 - Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 75 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 28 - ... 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 175 - Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure beyond the place of units.
Page 161 - Tare is an allowance made to the buyer for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.
Page 59 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 175 - Find the greatest cube in the left hand period, and put its root in the quotient. 3. Subtract the cube thus found, from the said period, and to the remainder bring down the next period, and call this the dividend.