An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 6
... figures ; it will now be shown that the reasoning , previous to calculation , may receive as great assistance from another set of arbitrary signs . Some of the signs have already been explained in Arithme- tic ; they will here be ...
... figures ; it will now be shown that the reasoning , previous to calculation , may receive as great assistance from another set of arbitrary signs . Some of the signs have already been explained in Arithme- tic ; they will here be ...
Σελίδα 13
... figure written before a letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7 x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation ...
... figure written before a letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7 x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation ...
Σελίδα 67
... figures , because their value de- pends upon the place in which they stand . 3ab multiplied by 2 cd , for instance , cannot be written 32 a b c d . If it is requir ed to express the multiplication of the figures as well as of the ...
... figures , because their value de- pends upon the place in which they stand . 3ab multiplied by 2 cd , for instance , cannot be written 32 a b c d . If it is requir ed to express the multiplication of the figures as well as of the ...
Σελίδα 68
... figure a little above the letter , and a little to the right of it , to show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b ...
... figure a little above the letter , and a little to the right of it , to show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b ...
Σελίδα 70
... figures . Add together 17+ 10 and 20- 6. Now 20- 6 is 14 and 17 + 10 + 20 · 6 is equal to 17 + 10 + 14 . From the above observations we derive the following rule for the addition of compound quantities . Write the quantities after each ...
... figures . Add together 17+ 10 and 20- 6. Now 20- 6 is 14 and 17 + 10 + 20 · 6 is equal to 17 + 10 + 14 . From the above observations we derive the following rule for the addition of compound quantities . Write the quantities after each ...
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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.