An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα 18
... respecting it in the case of greater products , the number of which is unlimited ; there is but one method independent of the particular value of the multiplicand and multiplier of showing that there is no ex- ception to this remark ...
... respecting it in the case of greater products , the number of which is unlimited ; there is but one method independent of the particular value of the multiplicand and multiplier of showing that there is no ex- ception to this remark ...
Σελίδα 36
... respect to the value of the fraction . Hence it results , that , if both the numerator and denom- inator of a fraction be multiplied at the same time , by the same number , the value of the fraction will not be altered ; for if , on the ...
... respect to the value of the fraction . Hence it results , that , if both the numerator and denom- inator of a fraction be multiplied at the same time , by the same number , the value of the fraction will not be altered ; for if , on the ...
Σελίδα 53
... respect to either of the others . From this example , in which the particular value of each number has not been considered , it must be evident , that a product of three factors does not vary , what- ever may be the order in which they ...
... respect to either of the others . From this example , in which the particular value of each number has not been considered , it must be evident , that a product of three factors does not vary , what- ever may be the order in which they ...
Σελίδα 56
... respect to a vulgar fraction , when each of its terms is multiplied by the same number ; and if the ciphers be suppressed , it is the same as dividing them by the same number . 88. The addition of decimal fractions and numbers accompa ...
... respect to a vulgar fraction , when each of its terms is multiplied by the same number ; and if the ciphers be suppressed , it is the same as dividing them by the same number . 88. The addition of decimal fractions and numbers accompa ...
Σελίδα 58
... respect to this comma one place towards the left , and consequently assume a value ten times greater than they had before . If , for example , in the number 134,28 , the point be placed between the 2 and the 8 , we shall have 58 ...
... respect to this comma one place towards the left , and consequently assume a value ten times greater than they had before . If , for example , in the number 134,28 , the point be placed between the 2 and the 8 , we shall have 58 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
added algebra arithmetical arithmetical progression Avoirdupois called CHAPTER ciphers coefficient Coins compound numbers consequently consider contains crowns cube root cubic decametre decimal fraction denominator difference divided dividend division dollars Ducat equal equation evident exponent expression factors figures florins fourth frac gallon given number gives greater number greatest common divisor hundredths infinite series instance integer lastly less letters lire manner measures multiplicand multiplied myriogramme negative numbers number of days number of terms obtain operation pence performed piece positive numbers pound preceding prime numbers proportion proposed question quotient ratio reduced remainder represented required to find resolved result Rix-dollar rule Scudo shillings simple square root stivers subtract Suppose third tion units unity vulgar fraction whence whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 36 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 126 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of ten miles an hour, and the dog, on view...
Σελίδα ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Σελίδα 148 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 213 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36 14.
Σελίδα 123 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.
Σελίδα 135 - The decestere is the tenth of a stere. The quadrant of the circle generally is divided like the fourth part of the meridian, into 100 degrees, each degree into 100 minutes, and each minute into 100 seconds, &c. so that the same number, which expresses a portion of the meridian, indicates also its length, which is a great convenience in navigation. The coin also is comprehended in this system, and made to conform to their unit of weight. The weight of the franc, of which one tenth is alloy, is fixed...
Σελίδα 120 - Multiply the sum of the two extremes by the number of terms, and half the product will be the sum of all the terms.
Σελίδα 208 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Σελίδα 27 - We shall have to substitute for them, £| and || ; whence we may conclude that 4 exceeds |, hut only by ^. 99. When it is required to subtract a fraction from an integer, it is sufficient to change one of the units of that integer into a fraction having the same denominator as the fraction to be subtracted; in the rest of the operation there is no difficulty. If it be required, for example, to subtract | from 1, we write -| instead of 1, and say that j taken from | leaves the remainder 1.