An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ofHilliard and Metcalf, 1825 - 144 σελίδες |
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Σελίδα 8
... evident , that the formation of numbers , by the successive union of units , is independent of the nature of these units , and that this must also be the case with the properties resulting from this formation ; by which properties we ...
... evident , that the formation of numbers , by the successive union of units , is independent of the nature of these units , and that this must also be the case with the properties resulting from this formation ; by which properties we ...
Σελίδα 20
... evident that , when the multiplicand is terminated by Os , the operation can commence only with its first significant figure ; but to give the product its proper value , it is necessary to put , on the right of it , as many Os as there ...
... evident that , when the multiplicand is terminated by Os , the operation can commence only with its first significant figure ; but to give the product its proper value , it is necessary to put , on the right of it , as many Os as there ...
Σελίδα 39
... numbers . It is also evident , by the very mode of finding it , that there can be no common divisor greater than 13 , since 13 must be divided by it . It is convenient in practice , to place the successive Fractions . 39.
... numbers . It is also evident , by the very mode of finding it , that there can be no common divisor greater than 13 , since 13 must be divided by it . It is convenient in practice , to place the successive Fractions . 39.
Σελίδα 45
... evident , from the preceding example , that the frac- tion contains unity , or a whole one , and , and the reasoning , which led to this conclusion , shows also , that every fractional expression , of which the numerator exceeds the ...
... evident , from the preceding example , that the frac- tion contains unity , or a whole one , and , and the reasoning , which led to this conclusion , shows also , that every fractional expression , of which the numerator exceeds the ...
Σελίδα 48
... evident that , whenever the numerator of the divisor is less than the denominator , the quotient will exceed the dividend , because the divisor in that case , being less than unity , must be contained in the dividend a greater number of ...
... evident that , whenever the numerator of the divisor is less than the denominator , the quotient will exceed the dividend , because the divisor in that case , being less than unity , must be contained in the dividend a greater number of ...
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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.