An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 7
... positive and nega- tive values of it , in equations of the second degree XXXVI . Of powers and roots in general XXXVII . Roots of compound quantities 175 177 182 189 XXXVIII . Extraction of the roots of compound quantities of Table of ...
... positive and nega- tive values of it , in equations of the second degree XXXVI . Of powers and roots in general XXXVII . Roots of compound quantities 175 177 182 189 XXXVIII . Extraction of the roots of compound quantities of Table of ...
Σελίδα 65
... positive and negative quan- tities , or quantities affected with the signs and The sign + is placed before the quantities , which he is to receive , and the sign before his losses . We observed that the dif ference between receiving 100 ...
... positive and negative quan- tities , or quantities affected with the signs and The sign + is placed before the quantities , which he is to receive , and the sign before his losses . We observed that the dif ference between receiving 100 ...
Σελίδα 113
... positive . They arise from the necessity of express- ing subtraction by a sign , because it cannot actually be per- formed on dissimilar quantities . They are only positive quan- tities subtracted , and in their nature they differ in ...
... positive . They arise from the necessity of express- ing subtraction by a sign , because it cannot actually be per- formed on dissimilar quantities . They are only positive quan- tities subtracted , and in their nature they differ in ...
Σελίδα 115
... positive quantity . In the above example of the field , in which the length was 8 rods and breadth 5 , it was asked , how much must be added to the length , that it might contain 30 square rods . The answer was - 2 ; which was ...
... positive quantity . In the above example of the field , in which the length was 8 rods and breadth 5 , it was asked , how much must be added to the length , that it might contain 30 square rods . The answer was - 2 ; which was ...
Σελίδα 116
... positive , the product is negative . A gentleman owned a number a of farms , and each farm was worth a number c of dollars , which was his whole property . He hired money and fitted out a number b of vessels , and each vessel was worth ...
... positive , the product is negative . A gentleman owned a number a of farms , and each farm was worth a number c of dollars , which was his whole property . He hired money and fitted out a number b of vessels , and each vessel was worth ...
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 - 1844 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root a b c A's share a+b+c a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - 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 - S ; any three of which being given, the other two may be found.
Σελίδα 17 - ... of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish ? 17.
Σελίδα 276 - A and B travelled on the same road and at the same rate from Huntingdon to London. 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. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone.
Σελίδα 231 - Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms.
Σελίδα 222 - Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding...
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods...
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.