A Treatise on Arithmetic: Designed Particularly as a Text for Classes in which the Principles of the Science are Inductively Developed ... |
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Page 32
... INCREASE FROM RIGHT TO LEFT IN TENFOLD PROPORTION . Here is a picture to illustrate this tenfold increase . The little square on the right , repre- sents a unit of the first order , and corres- ponds to the 1 under it . The next dia ...
... INCREASE FROM RIGHT TO LEFT IN TENFOLD PROPORTION . Here is a picture to illustrate this tenfold increase . The little square on the right , repre- sents a unit of the first order , and corres- ponds to the 1 under it . The next dia ...
Page 34
... increase in any system of Nota- tion , is called the RADIX of that system . The Radix of the decimal Notation is 10 . The word digit comes from the Latin digitus , which means fin- ger , and is applied to figures , because men formerly ...
... increase in any system of Nota- tion , is called the RADIX of that system . The Radix of the decimal Notation is 10 . The word digit comes from the Latin digitus , which means fin- ger , and is applied to figures , because men formerly ...
Page 35
... increase in any other ratio . Near the beginning of the second century , and of course , long before the introduction of the Arabic characters into Europe , a different scheme was actually introduced . It is called the sexagesimal ...
... increase in any other ratio . Near the beginning of the second century , and of course , long before the introduction of the Arabic characters into Europe , a different scheme was actually introduced . It is called the sexagesimal ...
Page 37
... increases the number ten times . Thus Io is five hundred ; 100 is five thousand ; 1000 fifty thousand , & c . CIO is also put for M , and every additional c at each end , in this case , increases the number , as before , ten times ...
... increases the number ten times . Thus Io is five hundred ; 100 is five thousand ; 1000 fifty thousand , & c . CIO is also put for M , and every additional c at each end , in this case , increases the number , as before , ten times ...
Page 50
... increase towards the left hand had been twelve fold , instead of ten fold , it would have been necessary to extend our addition tables as high as 11. 1f it had been thirty fold , it would have been necessary to continue them to 29 , & c ...
... increase towards the left hand had been twelve fold , instead of ten fold , it would have been necessary to extend our addition tables as high as 11. 1f it had been thirty fold , it would have been necessary to continue them to 29 , & c ...
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Common terms and phrases
acres annexing a cypher annuity answer Avoirdupois barrels bought bushel called cents composite number compound interest contained cost course cube cubic decimal places denominator divide dividend division divisor dollar gain Dominical letter duodecimals equal EXAMPLES FOR PRACTICE factors feet Find the amount Find the interest gallons gals given number greatest common measure Hence hogshead hundred hundredths Improper Fraction inches Julian calendar least common multiple leave likewise lowest terms MENTAL EXERCISES MINUEND mode months multiplicand multiply NOTE number of terms obtain paid payment polls pound present worth principal proportion pupil quantity quarts quotient figure ratio Reduce remainder repetend rods root rule separatrix shillings sold solid square subtract SUBTRAHEND tens tenths third units vulgar Fraction whole number write yard
Popular passages
Page ii - Congress of the United States, 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 also to the 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...
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 75 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 46 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Page 77 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Page 272 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 58 - What is 1 ninth of 1 ? of 2? of 3 ? of 4 ? of 5 ? of 6 ? of 7 ? of 8? of 9 ? of 10 ? of- 11?
Page 77 - TROY WEIGHT. 24 grains gr. make 1 pennyweight, dwt. 20 pennyweights " 1 ounce. oz. 12 ounces " 1 pound. Ib. Table IV. — AVOIRDUPOIS WEIGHT 16 drams dr. make 1 ounce. oz. 16 ounces " 1 pound. Ib. "I"""" " 4 quarters make 1 hundred weight.