A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and Logarithmical Arithmetick; Calculated for the Use of the Inhabitants of the United States; Wherein is Shown a Universal Mode of Cancelling ...author, 1822 - 423 σελίδες |
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Σελίδα 8
... remainder as the sum of its figures or digits divided by 9 ; which is thus demonstrated : — : Let the number 5432 be given this separated into its several parts will stand thus : 5000 + 400 + 30 + 2 : but 5000 = 5 × 1000 = 5 × 999 + 1 ...
... remainder as the sum of its figures or digits divided by 9 ; which is thus demonstrated : — : Let the number 5432 be given this separated into its several parts will stand thus : 5000 + 400 + 30 + 2 : but 5000 = 5 × 1000 = 5 × 999 + 1 ...
Σελίδα 22
... remainder ; but if the lower figure be greater than the upper , borrow ten , and subtract the lower from the sum of both , and set down the remainder , but in this case you must add one to the ten's place of the lower line , for that ...
... remainder ; but if the lower figure be greater than the upper , borrow ten , and subtract the lower from the sum of both , and set down the remainder , but in this case you must add one to the ten's place of the lower line , for that ...
Σελίδα 23
... Remainder 694 39 Remainder , 8 6 4 5 Proof 6 5 4 0 0 6 Proof 5 • X Explanation of the second Example . The numbers being placed with the larger uppermost as the rule directs , I begin with the unit or right hand figure in the subtrahend ...
... Remainder 694 39 Remainder , 8 6 4 5 Proof 6 5 4 0 0 6 Proof 5 • X Explanation of the second Example . The numbers being placed with the larger uppermost as the rule directs , I begin with the unit or right hand figure in the subtrahend ...
Σελίδα 24
... remainder and find there is 5 left , which I place at the right hand of the cross ; lastly , I add this last found 5 to the 0 , at the left hand , the sum is 5 , which I set down at the bottom , and find it to be equal to 5 , at top ...
... remainder and find there is 5 left , which I place at the right hand of the cross ; lastly , I add this last found 5 to the 0 , at the left hand , the sum is 5 , which I set down at the bottom , and find it to be equal to 5 , at top ...
Σελίδα 27
... remainder at the right hand of the cross ; then multiply the figures at the right and left of the cross to- gether ... remainder or excess under the cross ; the figures at the top and bottom of the cross will be the same if the work be ...
... remainder at the right hand of the cross ; then multiply the figures at the right and left of the cross to- gether ... remainder or excess under the cross ; the figures at the top and bottom of the cross will be the same if the work be ...
Συχνά εμφανιζόμενοι όροι και φράσεις
aliquot amount annexing cyphers annuity annum ansr answer arithmetical avoirdupois breadth carry cent circle common difference common ratio compound interest cube root currency decimal places diagonal diameter discount divide the product dividend divisor dollars equal EXAMPLE extract the square extremes farthings feet find the solid frustum gallons given number given sum gives greater improper fraction inches integer Irish money left hand length less livres Livres Tournois logarithm measure middle term mixed number moidore multiplicand New-Jersey New-York number of terms numbers given OPERATION payment pence perpendicular pounds present worth principal PROBLEM proportion quantity quotient reduce remainder right hand figure rule of three shew shillings side sliding rule solid content sought South-Carolina Spanish milled dollars square root subtract superficial content Suppose tare THEOREM thereof third unit unity vulgar fraction whole numbers yards cost
Δημοφιλή αποσπάσματα
Σελίδα 274 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 265 - 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.
Σελίδα 355 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
Σελίδα 359 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Σελίδα 36 - Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which shows how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor, and of the same name with the Dividend.
Σελίδα 265 - 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.
Σελίδα 79 - 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.
Σελίδα 358 - RULE. 1 . Take any number and perform the same operations with it as are described to be performed in the question. 2. Then say as the sum of the errors is to the given sum, so is the supposed number to the true one required.* , PROOF. Add the several parts of the sum together, and if it agree with the sum, it is right.
Σελίδα 75 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.
Σελίδα 208 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.