An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 7
... root 131 133 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 131 133 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 b = 5 ; then a + b = 35 . = ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b3 . a3 = 30 X 30 X ...
... 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 b = 5 ; then a + b = 35 . = ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b3 . a3 = 30 X 30 X ...
Σελίδα 153
... root , and the number of trials will be limited to very few . 30 X 30 2700 gives 5 . 900 , and 900 × 3 = 2700 and 15875 divided by 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 X 30 2700 gives 5 . 900 , and 900 × 3 = 2700 and 15875 divided by 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'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 denote 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 sheep 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 tion tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 156 - Note 1. If it happens that the divisor is not contained in the dividend, a cipher must be put in the root, and the next period brought down for a dividend. Note 2. The same rule must be observed for continuing the operation, and pointing off for decimals, as in the square root.
Σελίδα 2 - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...
Σελίδα 184 - The 3d power of (2 a — d)' is 4 =(2a — rf)'xa = (2a — d)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. 7. Express the 2d power of (3 b — c)4. 8. Express the 3d power of (a — c + 2 d)5. 9. Express the 7th power of (2 a* — 4 c3)3.
Σελίδα 24 - What was his age ? 23. A sum of money is to be divided between two persons, A and B, so that as often as A takes £9, B takes £4. Now it happens that A receives £15 more than B. What is the share of each ? 24.
Σελίδα 39 - And * of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? , Ans.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.