The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods ; Forming a Complete Course of Higher Arithmetic |
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Page 12
... quantity he also used our present sign✓ , originally r , the initial of the word radix , root . The sign to denote equality , was introduced by Record , the above - named English mathe- matician , and for this reason , as he says ...
... quantity he also used our present sign✓ , originally r , the initial of the word radix , root . The sign to denote equality , was introduced by Record , the above - named English mathe- matician , and for this reason , as he says ...
Page 13
... quantity . 4. A concrete unit is one that has reference to some par- ticular thing or quantity . 5. A number is an expression of quantity , representing either a unit or a collection of units . 6. An abstract number is a number whose ...
... quantity . 4. A concrete unit is one that has reference to some par- ticular thing or quantity . 5. A number is an expression of quantity , representing either a unit or a collection of units . 6. An abstract number is a number whose ...
Page 14
... quantity on the right of it is to be subtracted from the quantity on the left . Thus , 8 6 signifies that 6 is to be subtracted from 8 . - 21. The sign of multiplication , an inclined cross , X , is read times , or multiplied by , and ...
... quantity on the right of it is to be subtracted from the quantity on the left . Thus , 8 6 signifies that 6 is to be subtracted from 8 . - 21. The sign of multiplication , an inclined cross , X , is read times , or multiplied by , and ...
Page 15
... quantity , or equal quantities , be added to equal quantities , the sums will be equal . 2. If the same quantity , or equal quantities , be subtracted from equal quantities , the remainders will be equal . 3. If the same quantity , or equal ...
... quantity , or equal quantities , be added to equal quantities , the sums will be equal . 2. If the same quantity , or equal quantities , be subtracted from equal quantities , the remainders will be equal . 3. If the same quantity , or equal ...
Page 37
... quantity any number of times does not alter its nature . Thus : 5 , an abstract number , X × 3 = 15 , an abstract number ; and 9 yards X 7 = 63 yards . 57. The multiplier must always be considered as an abstract number . Thus , in ...
... quantity any number of times does not alter its nature . Thus : 5 , an abstract number , X × 3 = 15 , an abstract number ; and 9 yards X 7 = 63 yards . 57. The multiplier must always be considered as an abstract number . Thus , in ...
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Common terms and phrases
2far acres amount annexed annuity Arithmetic barrel bill bought bushels carats casks cents a pound ciphers circle of latitude circumference column common denominator common fraction composite number compound interest compound numbers containing continued fraction cost cube root cubic feet diameter difference discount dividend divisible dollars equal exactly divide EXAMPLES farthings feet long figure gain gallons given number grains greatest common divisor Hence hogsheads hundred latitude least common multiple longitude measure miles mills minuend mixed number months multiplicand Multiply NOTE number denoting number of days number of terms obtain ounces paid payable payment pence premium present worth prime factors prime number quantity quotient rate per cent ratio received Reduce remainder repetend Required the number rods RULE SECOND OPERATION shillings simple numbers sold square root subtract subtrahend tens third thousand tons Troy weight United States money weight whole number write yards
Popular passages
Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 322 - B. $380, to be paid as follows: $100 in 6 months, $120 in 7 months, and $160 in 10 months. What is the equated time for the payment of the whole ? Ans.
Page 44 - The Dividend is the number to be divided. The Divisor is the number by which we divide.
Page 382 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.
Page 276 - But if any payment be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid, up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest added as above.
Page 204 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 24 - Addition is the process of finding the sum of two or more numbers.
Page 322 - B $ 600, of which $ 200 is to be paid at the present time, 200 in 4 months, and 200 in 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 93 - ... 5760 NOTE 1. — In this weight the pound, ounce, and grain are the same as in Troy Weight. NOTE 2. — Medicines are usually bought and sold by Avoirdupois Weight NOTE 3.
Page 357 - Sixty days after sight of this, my first Bill of Exchange, (second and third of the same date and tenor unpaid,) pay to Langdon Shannon, or order, one hundred pounds sterling, value received, with or without further advice.