Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied... |
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Page 4
... extraction of the square and cube roots , are the only traits of the old work preserved in the new . Mont Vernon , ( N. II . ) Sept. 29 , 1827 . DANIEL ADAMS . INDEX . SIMPLE NUMBERS . Numeration and Notation , Addition 4 PREFACE .
... extraction of the square and cube roots , are the only traits of the old work preserved in the new . Mont Vernon , ( N. II . ) Sept. 29 , 1827 . DANIEL ADAMS . INDEX . SIMPLE NUMBERS . Numeration and Notation , Addition 4 PREFACE .
Page 6
... Cube Root , Application and Use of the Arithmetical Progression , Annuities at Compound Interest , Practice , 29 , ex . 10-19 . ¶ 43 . Insurance , 82 . Buying and Selling Stocks , ¶ 02 . • Cube Root , see Supplement , 222 Geometrical ...
... Cube Root , Application and Use of the Arithmetical Progression , Annuities at Compound Interest , Practice , 29 , ex . 10-19 . ¶ 43 . Insurance , 82 . Buying and Selling Stocks , ¶ 02 . • Cube Root , see Supplement , 222 Geometrical ...
Page 205
... cube , & c .; thus , 5X5 : 52 5 is the root , or 1st power , of 5 . 25 is the 2d power , or square , of 5 , 5X5X5 = 125 is the 3d power , or cube , of 5 , 5X5X5X5 625 is the 4th power , or biquadrate , of 5 , 5 . S = 58 The number ...
... cube , & c .; thus , 5X5 : 52 5 is the root , or 1st power , of 5 . 25 is the 2d power , or square , of 5 , 5X5X5 = 125 is the 3d power , or cube , of 5 , 5X5X5X5 625 is the 4th power , or biquadrate , of 5 , 5 . S = 58 The number ...
Page 206
... cube , or 3d power , 5. What is the cube of 800 ? 6. What is the 4th power of 60 ? 7. What is the square of 1 ? of 4 ? 8. What is the cube of 1 ? —— of 4 ? 9. What is the square of ? 10. What is the cube of ? 11. What is the square of ...
... cube , or 3d power , 5. What is the cube of 800 ? 6. What is the 4th power of 60 ? 7. What is the square of 1 ? of 4 ? 8. What is the cube of 1 ? —— of 4 ? 9. What is the square of ? 10. What is the cube of ? 11. What is the square of ...
Page 207
... cube , or third root , is a num- ber which , being cubed or involved to the 3d power , will produce the given number : thus , the square root of 144 is 12 , because 122144 ; and the cube root of 343 is 7 , be- cause 73 , that is , 7 X 7 ...
... cube , or third root , is a num- ber which , being cubed or involved to the 3d power , will produce the given number : thus , the square root of 144 is 12 , because 122144 ; and the cube root of 343 is 7 , be- cause 73 , that is , 7 X 7 ...
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Common terms and phrases
acres amount annexed annuity answer apples arithmetical series avoirdupois bought bushels called ciphers compound interest compound numbers contained cord feet cows cube root cubic currency decimal fractions diameter divided dividend division divisor dollars equal EXAMPLES FOR PRACTICE factors farthings federal money foot gain gallons given number greatest common divisor Hence hogshead horse hundred hundredths improper fraction inches least common multiple left hand length less number measure miles mills minuend minutes mixed number months multi multiplicand multiply Note number of terms OPERATION oranges paid payment pence pints pounds present worth principal proportion pupil quantity quarts quotient quotient figure rate per cent ratio receive Reduce remainder right hand figure rule shillings side simple numbers sold solid feet square root subtraction tens thousandths units vulgar fractions weight whole number write yards of cloth
Popular passages
Page 217 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 77 - TABLE. 2 pints (pts.) make - 1 quart, - marked - qt. 8 quarts 1 peck, pk. 4 pecks ----- 1 bushel, ----- bu. 36 bushels ----- 1 chaldron, - - - - ch. Note. A gallon, dry measure, contains 268f cubic inches. A Winchester bushel is 18£ inches in diameter, 8 inches deep, and contains 2150$ cubic inches.
Page 139 - Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 244 - A man was hired 50 days on these conditions, — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $27'50; how many days did he work...
Page 80 - Reduce 9s. 13', 25' to seconds. • 72. In 1020300", how many degrees ? The following are denominations of things not included in the Tables : — 12 particular things - make - 1 dozen. 12 dozen -,------1 gross. 12 gross, or 144 dozen, - - - - 1 great gross. Also, 20 particular things - make - 1 score.
Page 105 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.
Page 259 - EF, or his certain attorney, his executors, administrators, or assigns, to which payment, well and truly to be made, I bind myself, my heirs, executors and administrates, firmly by these presents.
Page 221 - The first term, the last term, and the number of terms be ing given, to find the common difference. RULE. — (') Divide the difference of the extremes by the number of terms less 1, and the quotient will be the common difference. liiieslinn. — 1. How do you find the common difference? EXAMPLES. 1. The extremes are 2 and 53, and the number of terms 18, required the
Page 126 - How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered?
Page 102 - To reduce a mixed number to an improper fraction, — RULE : ^Multiply the whole number by the denominator of the fraction, to the product ad,d the numerator, and write the result over the denominator, EXAMPLES FOR PRACTICE.