The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods, Together with the Cancelling System; Forming a Complete Mercantile Arithmetic |
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Page 6
... Root 63. Arithmetical Progression 64. Geometrical Series , or Series by Quotient 6 38. Partial Payments 39 ... Roots ; 238-240 241-248 • 248-256 257-261 261-267 65. Infinite Series 66. Discount by Compound Interest 67. Annuities at ...
... Root 63. Arithmetical Progression 64. Geometrical Series , or Series by Quotient 6 38. Partial Payments 39 ... Roots ; 238-240 241-248 • 248-256 257-261 261-267 65. Infinite Series 66. Discount by Compound Interest 67. Annuities at ...
Page 10
... root of a quantity he also used our present sign , origi nally r , the initial of the word radix , root . The sign to denote - To equality was introduced by Record , the above - named 10 INTRODUCTION .
... root of a quantity he also used our present sign , origi nally r , the initial of the word radix , root . The sign to denote - To equality was introduced by Record , the above - named 10 INTRODUCTION .
Page 12
... root is to be extracted . This sign prefixed to a number shows that the cube root is to be extracted . Sometimes roots are designated by fractional indices , thus ; 9 * denotes the square root of 9 ; 27 * denotes the cube root of 27 ...
... root is to be extracted . This sign prefixed to a number shows that the cube root is to be extracted . Sometimes roots are designated by fractional indices , thus ; 9 * denotes the square root of 9 ; 27 * denotes the cube root of 27 ...
Page 61
... How many inches from Haverhill to Boston , the distance being 30 miles ? 17. How many barleycorns will it take to reach round the world ? 18. In 403m . 7fur . 35rd . 2yd . SECT . XII . ] 61 REDUCTION . Extraction of the Square Root.
... How many inches from Haverhill to Boston , the distance being 30 miles ? 17. How many barleycorns will it take to reach round the world ? 18. In 403m . 7fur . 35rd . 2yd . SECT . XII . ] 61 REDUCTION . Extraction of the Square Root.
Page 62
... 12 , because 12 pence make a shilling . Lastly we divide by 20 , the number of shillings in a pound . ny From the preceding illustration and example , we deduce the 62 [ SECT . XII . REDUCTION . Extraction of the Cube Root.
... 12 , because 12 pence make a shilling . Lastly we divide by 20 , the number of shillings in a pound . ny From the preceding illustration and example , we deduce the 62 [ SECT . XII . REDUCTION . Extraction of the Cube Root.
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Common terms and phrases
25 per cent acres amount annex answer Arithmetic Avoirdupois barrels of flour bill Boston Bought breadth broadcloth bushels ciphers circle circumference common denominator compound interest contain cords of wood cost cube root decimal diameter Divide dividend divisor dominical letter Ducat duodecillions equal EXAMPLES farthings feet long feet wide figure foot gain gallons given number greatest common measure hogshead hundred improper fraction inches wide indorsements least common multiple length lowest terms miles minuend mixed number months multiplicand Multiply NOTE number of terms OPERATION paid payment pence perform pound sterling pounds present worth proportion quantity question quotient ratio received Reduce remainder repetend rods SECTION shillings side simple fraction sold square root sterling subtract subtrahend sugar third thousand thousandths tons United States money usury vulgar fraction weight whole number wine yards of cloth
Popular passages
Page 94 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 245 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 240 - ... 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 178 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, til! all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 178 - But if any payments 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...
Page 126 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 250 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.
Page 297 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 286 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...
Page 35 - Cut off the ciphers from the divisor, and the same number of figures from the right of the dividend. Then divide the remaining figures of the dividend by the remaining figures of the divisor.