A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
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Page 22
... true in any cafe , NOTE . It should be noticed that the method of proof for this rule , and vari- pus others , depends upon the accuracy of both operations . It does not follow beaufe the refult is the fame by both operations , that ...
... true in any cafe , NOTE . It should be noticed that the method of proof for this rule , and vari- pus others , depends upon the accuracy of both operations . It does not follow beaufe the refult is the fame by both operations , that ...
Page 24
... true difference fought ; because , as the rum of the parts is equal to the whole ; fo muft the fum of the differences , of all the fimilar parts , be equal to the difference of the whole . 2. When any figure in the greater number is ...
... true difference fought ; because , as the rum of the parts is equal to the whole ; fo muft the fum of the differences , of all the fimilar parts , be equal to the difference of the whole . 2. When any figure in the greater number is ...
Page 27
... true of any number of factors whatever . The following examples are fubjoined , to make the reafon of the rule appear as clearly as poffible . 64753 5 237956 15 3X5 25 = 50X5 35 = 700X5 20 = 4000X5 30 = 60000 × 5 3728 19036488 times the ...
... true of any number of factors whatever . The following examples are fubjoined , to make the reafon of the rule appear as clearly as poffible . 64753 5 237956 15 3X5 25 = 50X5 35 = 700X5 20 = 4000X5 30 = 60000 × 5 3728 19036488 times the ...
Page 30
... , it is evident that the remainder will be ninefold the faid given multiplicand , equal to the product of the fame by 9 ; and the Fame will hold true of any number of nines . EXAMPLES . 1 . 2 . 6473 .. 857389 ... 30 SIMPLE MULTIPLICATION .
... , it is evident that the remainder will be ninefold the faid given multiplicand , equal to the product of the fame by 9 ; and the Fame will hold true of any number of nines . EXAMPLES . 1 . 2 . 6473 .. 857389 ... 30 SIMPLE MULTIPLICATION .
Page 33
... true quotient of the whole dividend by the divifor ; which may be thus demonstrated . Dem . The complete value of ... true value of the quotient figure , belonging to that part of the dividend , is also 10 , 100 , 1000 , & c . times its ...
... true quotient of the whole dividend by the divifor ; which may be thus demonstrated . Dem . The complete value of ... true value of the quotient figure , belonging to that part of the dividend , is also 10 , 100 , 1000 , & c . times its ...
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A New and Complete System of Arithmetick: Composed for the Use of the ... Nicolas Pike, U.S,Chester Dewey No preview available - 2016 |
Common terms and phrases
aliquot amount annexed annuity annum answer arithmetical assumed root Avoirdupois bushels common difference compound interest cube root cubick currency cyphers decimal denominator diameter discount ditto divide the product dividend divisor dollars Dominical Letter English Money Epact equal EXAMPLES extract farthings Federal Money feet find the value foot fourth gain gallons Geometrical Progression given number given quantity gold Golden Number greatest term half Hence inches integer Irish last term length livres Livres Tournois merchant miles moidore months multiplicand Multiply Note number of terms payment pence pounds present worth principal Prob PROBLEM question quotient rate per cent ratio Reduce remainder repetend right hand Rule of Three second term shillings side solid South Carolina Spanish dollar square root sterling subtract Suppose surd Table terms less Theorem third term velocity vulgar fraction weight whole number yards cost
Popular passages
Page 199 - 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 239 - Write down a few of the leading terms of the series, and begin the indices with a cypher : Thus, 0, 1, 2, 3, &c. 2. Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought.
Page 197 - 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 275 - The present worth of any sum, due some time hence, is such a sum, as, if put to interest, would in that time, and at the rate per cent. for which the discount is to be made, amount to the sum or debt then due.
Page 221 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
Page 78 - 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 372 - A hare starts 12 rods before a hound ; but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour ; and the dog, on view, makes after her at the rate of 16 miles an hour ; how long will the course hold, and what space will be run over, from the spot where the dog started ? Ans.
Page 383 - As the distance between the body to be raised, or balanced, and the fulcrum, or prop, is to the distance between the prop and the point where the power is applied, so is the power to the weight which it will balance.
Page 84 - To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE. — Reduce the given quantity to the lowest term mentioned for a.
Page 77 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator v place the product over the said denominator, and it will