The New Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
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Page 15
... whose fum , if the work be right , will be equal to the greater line : -Or , fubtract the remainder from the greater line , and the difference will be equal to the lefs . EXAMPLES . EXAMPLES . L .. 2. Miles . Fards . 4 SIMPLE ...
... whose fum , if the work be right , will be equal to the greater line : -Or , fubtract the remainder from the greater line , and the difference will be equal to the lefs . EXAMPLES . EXAMPLES . L .. 2. Miles . Fards . 4 SIMPLE ...
Page 45
... whose , fum is 48 , and difference 14 ? 17 2 ) 48 fum = 24 2 ) 14 diff . 7 = 24 + 7 = 31 the greater ; and 24-7 = 17 the lefs .. Or , 48-142-17 ; and 17 + 14 = 31 . PROBA & PROB . 5. Having the fum of two numbers , PROBLEMS . 45 %
... whose , fum is 48 , and difference 14 ? 17 2 ) 48 fum = 24 2 ) 14 diff . 7 = 24 + 7 = 31 the greater ; and 24-7 = 17 the lefs .. Or , 48-142-17 ; and 17 + 14 = 31 . PROBA & PROB . 5. Having the fum of two numbers , PROBLEMS . 45 %
Page 46
... 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 difference of their fquares given , to ...
... 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 difference of their fquares given , to ...
Page 86
... whose denominator fhall be 10 , 100 , 1000 , & c . viz . Unity with a number of cyphers annexed ; and fractions with such denominators , are call- ed Decimal Fractions : Such are , too , food , & c . 675 As To multiply a fraction by an ...
... whose denominator fhall be 10 , 100 , 1000 , & c . viz . Unity with a number of cyphers annexed ; and fractions with such denominators , are call- ed Decimal Fractions : Such are , too , food , & c . 675 As To multiply a fraction by an ...
Page 89
... whose nu- merator is all the figures of the mixed number , taken as one whole number , and the denominator that of the deci- mal part . So 45,309 is equal to 45309 , as is evident from the method given to reduce a mixed number to an ...
... whose nu- merator is all the figures of the mixed number , taken as one whole number , and the denominator that of the deci- mal part . So 45,309 is equal to 45309 , as is evident from the method given to reduce a mixed number to an ...
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A New and Complete System of Arithmetick: Composed for the Use of the ... Nicolas Pike No preview available - 2012 |
Common terms and phrases
affumed root amount of 11 anfwer annuity annum Anſ Avoirdupois bufhel Cafe compound intereft confequent coſt 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 firſt fquare root fraction fubtract fuch fugar gallons given fum given number given quantity greateſt grofs guineas improper fraction inches increaſed Integer laft laſt leaft lefs left hand Livres Livres Tournois lofs logarithm meaſure mixed number moidores months muft Mult multiplicand Multiply the giv muſt number of terms pence pounds prefent worth principal PROB Prod proportion purchaſe queſtion quotient rate per cent ratio Reduce 100l remainder RULE ſtock Subtrahend Suppofe TABLE tare third thofe tient TROY WEIGHT VULGAR FRACTIONS weight whofe whole numbers yards coft
Popular passages
Page 241 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 234 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 207 - 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 222 - 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 214 - 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 222 - RULE. 1. 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. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.
Page 222 - 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.
Page 214 - ... it therefrom, and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 93 - ... 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 36 - ... 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.