A New and Complete System of Arithmetick: Composed for the Use of the Citizens of the United States |
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Page 21
... proof , is founded on the known axiom , " the whole is equal to the sum of all its parts . " The method of placing the numbers , and carrying for the tens , is evident from the nature of notation ; for , any other difpofition of the ...
... proof , is founded on the known axiom , " the whole is equal to the sum of all its parts . " The method of placing the numbers , and carrying for the tens , is evident from the nature of notation ; for , any other difpofition of the ...
Page 22
... proof for this rule , and vari- ous others , depends upon the accuracy of both operations . It does not follow beause the refult is the fame by both operations , that there can be no error . For both operations may be incorrectly ...
... proof for this rule , and vari- ous others , depends upon the accuracy of both operations . It does not follow beause the refult is the fame by both operations , that there can be no error . For both operations may be incorrectly ...
Page 24
... PROOF . In either simple , or compound Subtraction , add the remainder . and the less line together , whose sum , if the work be right , will be equal to the greater line : Or subtract the remainder from the greater line , and the ...
... PROOF . In either simple , or compound Subtraction , add the remainder . and the less line together , whose sum , if the work be right , will be equal to the greater line : Or subtract the remainder from the greater line , and the ...
Page 25
... proofs must be followed in every similar case . 7 . 100200300400500600700800900 98076054032011023045067089 3 . 9 . 10000 1000000 9999 1 10. What is the difference of 40875 and 38968 ? Ans . 1907 . 11. What number must be added to 6892 ...
... proofs must be followed in every similar case . 7 . 100200300400500600700800900 98076054032011023045067089 3 . 9 . 10000 1000000 9999 1 10. What is the difference of 40875 and 38968 ? Ans . 1907 . 11. What number must be added to 6892 ...
Page 25
... proof , depends upon this propofition , that if two numbers are to be multiplied together , either of them may be made the multiplier or multiplicand , and the product will be the fame . A small attention to the nature of numbers will ...
... proof , depends upon this propofition , that if two numbers are to be multiplied together , either of them may be made the multiplier or multiplicand , and the product will be the fame . A small attention to the nature of numbers will ...
Contents
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Other editions - View all
The New Complete System of Arithmetick: Composed for the Use of the Citizens ... Nicholas Pike No preview available - 2018 |
A New and Complete System of Arithmetick: Composed for the Use of the ... Nicolas Pike No preview available - 2017 |
Common terms and phrases
amount annexed annuity annum answer assumed root Avoirdupois balance bushels common difference compound interest contained cube root cubick currency cyphers decimal denominator diameter discount ditto divide the product dividend divisor dollars Dominical Letter ells endorsement English Epact equal EXAMPLES farthings Federal Money feet figure find the value foot fourth gain gallons geometrical Geometrical Progression given number gold Golden Number greatest term guineas half Hence inches integer last term Leger length livres Livres Tournois measure method miles moidores months multiplicand Multiply Note number of terms ounces paid payment pence pound sterling pounds present worth principal Prob Proof proportion quotient rate per cent ratio Reduce remainder repetend right hand shew shillings side solid Spanish dollar specifick gravity square root sterling subtract Suppose surd Table third term velocity vulgar fraction weight whole number
Popular passages
Page 269 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 268 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid...
Page 268 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. 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 195 - 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 198 - 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 188 - 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 154 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Page 273 - 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 268 - ... then compute the interest on the principal sum due on the obligation for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year : add it to the sum paid, and deduct that sum from the principal and interest added as above...
Page 188 - Double the figures already found in the root for a new divisor, (or, bring down your last divisor for a new one, doubling the right hand figure of it,) and from these find the next figure in the root, as last directed, and continue the operation in the same manner, till you have brought down all the periods.