An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard, 1826 - 276 σελίδες |
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Σελίδα 7
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
Σελίδα 138
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
Σελίδα 151
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
Σελίδα 152
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and 6 = 5 ; then a + b = 35 . ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b2 . Art . XIII . a3 30 ...
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and 6 = 5 ; then a + b = 35 . ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b2 . Art . XIII . a3 30 ...
Σελίδα 153
... root , and the number of trials will be limited to very few . 30 × 30 = 900 , and 900 × 3 = 2700 and 15875 divided by 2700 gives 5. I now add the 5 to the root and it becomes 35 . To see if this is right , I raise 35 to the third power ...
... root , and the number of trials will be limited to very few . 30 × 30 = 900 , and 900 × 3 = 2700 and 15875 divided by 2700 gives 5. I now add the 5 to the root and it becomes 35 . To see if this is right , I raise 35 to the third power ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power a b c A's share a² b² a² b³ added algebra algebraic quantities apples approximate root Arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 4 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 101 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 271 - Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as i to |. 29.
Σελίδα 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.
Σελίδα 92 - 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...
Σελίδα 186 - The 3d power of (2 a — d)4 is (2 a That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised. 1. Express the 2d power of (3 6 — c)4. 8. Express the 3d power of (a — c + 2 d)'. 9. Express tjie 7th power of (2 a
Σελίδα 276 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours.
Σελίδα 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.
Σελίδα 269 - A farmer has a stack of hay, from which he sells a quantity, which is- to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.