Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of Schools, and to Private StudyJames Bloomfield, 1826 - 215 σελίδες |
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Σελίδα 12
... - ciples of the decimal system , to contrast it with the old Roman system of numeration . This consists in the use of seven letters having each a particular signification , as : M , for one thousand D , C , L 12 NUMERATION .
... - ciples of the decimal system , to contrast it with the old Roman system of numeration . This consists in the use of seven letters having each a particular signification , as : M , for one thousand D , C , L 12 NUMERATION .
Σελίδα 13
... letters as will make out the quantity desired ; and the whole arith- metic consisted , in placing or taking away , upon a black board , as many marks under the denomination of each of these letters , as the calculation required . A bad ...
... letters as will make out the quantity desired ; and the whole arith- metic consisted , in placing or taking away , upon a black board , as many marks under the denomination of each of these letters , as the calculation required . A bad ...
Σελίδα 126
... letter , and choose for that always one of the last letters of the alphabet , as x , y , & c .; and when we shall have this letter alone on one side of the sign of equality , we have seen from what has already been said , that the ...
... letter , and choose for that always one of the last letters of the alphabet , as x , y , & c .; and when we shall have this letter alone on one side of the sign of equality , we have seen from what has already been said , that the ...
Σελίδα 128
... letter , as x . If therefore we make the number of men correspond- ing to the number of acres given , the first antecedent term of the geometric proportion , the second number of men will be the first consequent , or second term of the ...
... letter , as x . If therefore we make the number of men correspond- ing to the number of acres given , the first antecedent term of the geometric proportion , the second number of men will be the first consequent , or second term of the ...
Σελίδα 138
... . We have now for some time made use of letters to denote quantities , before we knew the numbers which would correspond to them ; we shall here extend the advantage derived from it , in order to 138 COMPOUND RULE OF THREE .
... . We have now for some time made use of letters to denote quantities , before we knew the numbers which would correspond to them ; we shall here extend the advantage derived from it , in order to 138 COMPOUND RULE OF THREE .
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acres added addition amount antecedents application arithmetical proportion arithmetical series borrowing calculation called capital carats carried cent ciples common difference compound interest contained continued cube cubic decimal fractions decimal mark decimal system deno denominate fractions determined divide dividend division divisor evidently exactly executed expressed factors feet long following example following numbers four rules frac Francs geometric proportion geometric series given numbers gives improper fraction indicated inverse kind manner mean terms merator metic miles mination multiplicand multiplied nator number of terms numerator and denominator obtain operation ounces payments pieces places of figures pound preceding principles proper proper fraction quotient ratio reduce remainder result rule of three rules of arithmetic scholar share shown side sign of equality simple sion smaller square root subdivision subtraction successive third tion unit unknown quantity vulgar fractions whole numbers write yards
Δημοφιλή αποσπάσματα
Σελίδα 40 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Σελίδα 158 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Σελίδα 196 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Σελίδα 195 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Σελίδα 158 - When four numbers are in arithmetical progression t/te • sum of the extremes is equal to the sum of the means.
Σελίδα 110 - PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS.
Σελίδα 165 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Σελίδα 129 - Petersburg owes 1000 ducats in Berlin, which he wishes to pay in rubles by the way of Holland; and he has for the data of his operation, the following information, viz. That 1 ruble gives 47^ stivers; that 20 stivers make 1 florin...
Σελίδα 51 - The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number.
Σελίδα 196 - OScts. lm.+ 10. 1f 248 men in 5 days of 1 1 hours each, dig a trench 230 yards long, 3 yards wide and 2 deep ; in how many days of 9 hours long, will 24 men dig a trench 420 yards long, 5 wide and 3 deep ? Aus 288^*^ days.