The New Complete System of Arithmetic: Composed for the Use of the Citizens of the United States |
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Page 44
... PROB . 1. Having the fum of two numbers , and one of them given , to find the other . Rule . Subtract the given number from the given fum , and the remainder will be the number required . Let Let 288 be the fum | From 288 the Sum 44 ...
... PROB . 1. Having the fum of two numbers , and one of them given , to find the other . Rule . Subtract the given number from the given fum , and the remainder will be the number required . Let Let 288 be the fum | From 288 the Sum 44 ...
Page 45
... PROB . 3. Having the leaft of two numbers given , and the difference between that and a greater , to find the greater . Rule . Add them together .. Given S127 the lefs number . 198 the difference . Sum 325 the greater number required . PROB ...
... PROB . 3. Having the leaft of two numbers given , and the difference between that and a greater , to find the greater . Rule . Add them together .. Given S127 the lefs number . 198 the difference . Sum 325 the greater number required . PROB ...
Page 46
... Prob . 4 . What two numbers are those , whose fum is 32 , and the difference of whofe fquares is 256 ? 32 ) 256 ( 8 difference . 256 Half fum 16 Half diff . 4 Greater 20 Lefs 12 PROB . 6. Having the difference of two numbers and the ...
... Prob . 4 . What two numbers are those , whose fum is 32 , and the difference of whofe fquares is 256 ? 32 ) 256 ( 8 difference . 256 Half fum 16 Half diff . 4 Greater 20 Lefs 12 PROB . 6. Having the difference of two numbers and the ...
Page 47
... PROB . 8. Having the dividend and quotient , to find the divifor . Rule . Divide the dividend by the quotient . COR . Hence we get another method of proving Di- vifion . Given { S288 the Dividend . 36 the Quotient . Required the Divisor ...
... PROB . 8. Having the dividend and quotient , to find the divifor . Rule . Divide the dividend by the quotient . COR . Hence we get another method of proving Di- vifion . Given { S288 the Dividend . 36 the Quotient . Required the Divisor ...
Page 76
... Prob . 2 , page 70 , find the leaft common mul- tiple of all the denominators of the given fractions , and it will be the common denominator required . 2. Divide the common denominator by the denomi- nator of each fraction , and ...
... Prob . 2 , page 70 , find the leaft common mul- tiple of all the denominators of the given fractions , and it will be the common denominator required . 2. Divide the common denominator by the denomi- nator of each fraction , and ...
Common terms and phrases
3grs affumed root amount anfwer annuity annum Avoirdupois Bought bufhel cafe carats common difference cube root currency cyphers decimal denominator diſcount divide the product dividend divifion divifor Dollars equal EXAMPLES fame farthings fecond feet feries feven feveral fhall fhillings fhould fimple find the value firft term firſt fquare root ftand fubtract fuch gain gallon given fum given number given quantity greateſt grofs guineas improper fraction inches Integer laft laſt leaft lefs left hand Livres Livres Tournois lofs logarithm meaſure mixed number moidores months muft Mult multiplicand Multiply muſt Newyork number of terms pence pounds prefent worth principal PROB proportion purchaſe queftion quotient rate per cent ratio Reduce remainder RULE Rule.-Multiply Southcarolina Subtrahend Suppofe TABLE tare third thofe thoſe thouſand triple TROY WEIGHT VULGAR FRACTIONS weight whofe whole numbers yards coft ΙΟ
Popular passages
Page 243 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 216 - 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 12 - I = One. II = Two. III = Three. IV = Four. V = Five. VI = Six. VII = Seven. VIII = Eight. IX = Nine. X = Ten. XI = Eleven.
Page 334 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other. RULE.
Page 73 - 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.
Page 72 - Multiply all the numerators continually together for a new numerator, and all the denominators for a new denominator, and they will form the simple fraction required.
Page 91 - ... therefore, divide as in whole numbers, and, 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 216 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of. 2. Find the greatest square number in the first, or left hand period...
Page 10 - First, commit the words at the head of the table, viz. units, tens,^ hundreds, &c. to memory, then, to the simple value of each figure, join the name of its place, beginning at the left hand, and reading towards the right.
Page 224 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.