Introduction to The National Arithmetic: On the Inductive System; Combining the Analytic and Synthetic Methods |
From inside the book
Results 1-5 of 12
Page 5
... . Involution . · 150 48. Evolution , or the Extraction of Roots 151 49. Extraction of the Cube Root 156 • 50 . Geometrical Problems 51 . Miscellaneous Questions 159 165 CHARACTERS USED IN THIS WORK . $ Contraction , for CONTENTS .
... . Involution . · 150 48. Evolution , or the Extraction of Roots 151 49. Extraction of the Cube Root 156 • 50 . Geometrical Problems 51 . Miscellaneous Questions 159 165 CHARACTERS USED IN THIS WORK . $ Contraction , for CONTENTS .
Page 151
... cube , biquadrate , or second , third , fourth , & c . , power , equal to that power . Thus , 4 is the square root of 16 , because , 4 x4 = 16 ; and 3 is the cube root of 27 , because , 3 x3x3 = 27 ; and so on . Roots , which ...
... cube , biquadrate , or second , third , fourth , & c . , power , equal to that power . Thus , 4 is the square root of 16 , because , 4 x4 = 16 ; and 3 is the cube root of 27 , because , 3 x3x3 = 27 ; and so on . Roots , which ...
Page 155
... James Emerson's 90 rods west of the meetinghouse ; how far will Snow have to travel to visit his three neighbours , and then return home ? Ans . 428.4 + rods . Section 49 . EXTRACTION OF THE CUBE ROOT . A SECT . 48. ] 155 SQUARE ROOT .
... James Emerson's 90 rods west of the meetinghouse ; how far will Snow have to travel to visit his three neighbours , and then return home ? Ans . 428.4 + rods . Section 49 . EXTRACTION OF THE CUBE ROOT . A SECT . 48. ] 155 SQUARE ROOT .
Page 156
... CUBE ROOT . A CUBE is a solid , bounded by six equal squares . A number is said to be cubed , when it is multiplied into its square . To extract the cube root , is to find a number , which , being multiplied into its square , will ...
... CUBE ROOT . A CUBE is a solid , bounded by six equal squares . A number is said to be cubed , when it is multiplied into its square . To extract the cube root , is to find a number , which , being multiplied into its square , will ...
Page 157
... cube in the left hand period , and put its root in the quotient . 3. Subtract the cube , thus found , from this period , and to the remainder bring down the next period ; call this the dividend . 4. Multiply the square of the quotient ...
... cube in the left hand period , and put its root in the quotient . 3. Subtract the cube , thus found , from this period , and to the remainder bring down the next period ; call this the dividend . 4. Multiply the square of the quotient ...
Other editions - View all
Common terms and phrases
acres acres of land amount apples barrels of flour Benjamin Greenleaf Bought bushels CANCELLED cents per lb ciphers circumference common denominator compound interest contains cords of wood cost cube root cubic feet decimal diameter dividend divisor Duodecillions English equal farthings feet high feet long feet wide figure Fisk's Greek following RULE furlongs gain gallons given number Hence the following hogshead improper fractions John least common multiple less lowest denomination lowest terms miles Minuend mixed number molasses multiplicand Multiply National Arithmetic NOTE OPERATION ounces paid payment pence pounds principal pupil quantity quarts quotient Received Reduce remainder Required the interest right hand Section Septillions shillings simple fraction sold square feet square rods square root square yards subtract subtrahend third term thousand thousandths tion tons TROY WEIGHT units VULGAR FRACTIONS whole number write yards of cloth
Popular passages
Page 31 - 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 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 126 - COMPUTE the interest on the principal sum from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due : add that interest to the principal, and from...
Page 79 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 148 - Multiply each term in the multiplicand, beginning at the lowest, by the feet of the multiplier, and write each result under its respective term, observing to carry a unit for every 12 from each denomination to its next superior.
Page 135 - ... 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 41 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 89 - To find the value of a fraction in the known parts of the integer, as of coin, weight, measure, fyc.
Page 7 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 41 - 1 Sign, ... " s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac. 1. How many seconds in 2 minutes ? In 3 minutes ? In 4 minutes ? In 6 minutes ? 2. How many seconds in 3 minutes and 1 second ? 3.