An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of |
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Page 1
... determine their figure and extent , and finally this extent itself . The proper characteristic of this last kind of magnitude , is the connexion or union of the parts , or their continuity ; whilst in number we consider how many parts ...
... determine their figure and extent , and finally this extent itself . The proper characteristic of this last kind of magnitude , is the connexion or union of the parts , or their continuity ; whilst in number we consider how many parts ...
Page 1
... determine any quantity , except by considering some other quantity of the same kind as known , and pointing out their mutual relation . If it were proposed , for example , to determine the quantity of a sum of money , we should take ...
... determine any quantity , except by considering some other quantity of the same kind as known , and pointing out their mutual relation . If it were proposed , for example , to determine the quantity of a sum of money , we should take ...
Page 2
... determined , and consider it as the measure or unit ; then , determine the proportion of the proposed magnitude to this known measure . This proportion is always expressed by numbers ; so that a number is nothing but the proportion of ...
... determined , and consider it as the measure or unit ; then , determine the proportion of the proposed magnitude to this known measure . This proportion is always expressed by numbers ; so that a number is nothing but the proportion of ...
Page 4
... determine the value of similar expres- sions , in which both the signs + plus and minus are found for example ; - 12 3 - 521 is the same as 5 . We have only to collect separately the sum of the numbers that have the sign before them ...
... determine the value of similar expres- sions , in which both the signs + plus and minus are found for example ; - 12 3 - 521 is the same as 5 . We have only to collect separately the sum of the numbers that have the sign before them ...
Page 13
... determined by the division , is called the quotient ; thus , in the above example ; 12 is the dividend , 3 is the divisor , and 4 is the quotient . 46. It follows from this , that if we divide Chap . 5 . 13 Of Simple Quantities .
... determined by the division , is called the quotient ; thus , in the above example ; 12 is the dividend , 3 is the divisor , and 4 is the quotient . 46. It follows from this , that if we divide Chap . 5 . 13 Of Simple Quantities .
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Common terms and phrases
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
Popular passages
Page 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...
Page 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...
Page 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...
Page 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...
Page 213 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36 14.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.