## An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of S.F. Lacroix, and Translated from the French with Such Alterations and Additions as Were Found Necessary in Order to Adapt it to the Use of American Students |

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according added addition amounts becomes beginning called cent ciphers Coins collections column comma common divisor composed consequently considered consists contains converted cost decimal denominator divided dividend division divisor dollars English equal evident exactly example expression factors feet figures five four fraction gain gallon given gives greater greatest half Hence higher hundred hundredths inches increased instance kind leagues length less lire lower manner means Measure method miles Millions months multiplicand multiplied namely necessary observe obtain operation partial dividend pence performed piece pound practice preceding present proportion quantity question quotient ratio reduced relation remainder repeated resolved result rule separated shillings shows simple subtraction successively taken tens tenths third thousand tion units unity upper weight whole number wine write written yards

### Popular passages

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 126 - A hare starts 12 rods before a hound ; but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour ; and the dog, on view, makes after her at the rate of 16 miles an hour ; how long will the course hold, and what space will be run over, from the spot where the dog started ? Ans.

Page ii - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...

Page 114 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.

Page 24 - In all cases, the process of division consists in finding one of the factors of a given product, when the other factor is known. The number given to be divided is called the dividend, and answers to the product in multiplication.

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 126 - A man, being asked how many sheep he had in his drove, said, if he had as many more, half as many more, and 7 sheep and a half, he should have 20 ; how many had he ? Ans. 5.

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 70 - ... 35840 = 2240 = 80 = 20 = 1 By this weight are weighed all things of a coarse or drossy nature, as corn, bread, butter, cheese, flesh, grocery wares, and some liquids ; also all metals, except silver and gold. oz diet gr Note, that lib Avoirdupois = 14 11 15± Troy.

Page 124 - If 1000 men, besieged in a town, with provisions for 5 weeks, allowing each man 16 ounces a day, be reinforced with 500 men more ; and supposing that they cannot be relieved till the end of 8 weeks, how many ounces a day must each man have, that the provision may last that umc ? Ans.