## An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of |

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Page 5 , Character '0' which itsself has no value .

Page 5, to write 50 , we place the right the character 0, cipher, or nought, which of itself has no value, and serves onlu to fill the place of units, which are wanting of the enunciation of the proposed number.

### Contents

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### Common terms and phrases

according added addition answer arithmetical becomes called CHAPTER Coins common divisor compound consequently consider consists contains continue cost crowns decimal denominator determine difference divided dividend division divisor dollars ducats easily English equal equation evident example exponent expression factors feet figures four fourth fraction further gallon given given number gives greater half hundred increase infinite instance integer kind known lastly length less letters manner means measures method multiplicand multiplied namely nature necessary negative observed obtain operation performed piece positive pound preceding present progression proportion proposed quantity question quotient ratio reduced relation remainder remark represented resolved respect result rule shillings shows simple square root subtract suppose taken third tion twice units unity weight whence whole number write written 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...

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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.