Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 páginas |
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Página 18
... twice subtractively ; and since the sign of a quantity is changed in subtracting it , the product is 3a + 3a , or 6a . When one of the quantities is positive and the other negative , their product is negative because it results from ...
... twice subtractively ; and since the sign of a quantity is changed in subtracting it , the product is 3a + 3a , or 6a . When one of the quantities is positive and the other negative , their product is negative because it results from ...
Página 28
... twice the product of the two quantities . Thus ( a + b ) ( a + b ) , that is , the square of a + b , is equal to a2 + b2 + 2ab or a2 + 2ab + b2 . This trinomial may therefore be divided by a + b . What is the Product of ( a + x ) ( a + ...
... twice the product of the two quantities . Thus ( a + b ) ( a + b ) , that is , the square of a + b , is equal to a2 + b2 + 2ab or a2 + 2ab + b2 . This trinomial may therefore be divided by a + b . What is the Product of ( a + x ) ( a + ...
Página 38
... twice in the product of the quantities . If , therefore , the product be divided by the greatest common mea- sure , the quotient will contain only those factors which are common to the two quantities , and those which are peculiar to ...
... twice in the product of the quantities . If , therefore , the product be divided by the greatest common mea- sure , the quotient will contain only those factors which are common to the two quantities , and those which are peculiar to ...
Página 75
... twice the number ; and , by the conditions of the problem , the equation will be 2x + 13 = 75 . The value of x in this equation is the number required . х Ans . 31 . 2. Find a number such that if it be multiplied by 5 , and 24 be ...
... twice the number ; and , by the conditions of the problem , the equation will be 2x + 13 = 75 . The value of x in this equation is the number required . х Ans . 31 . 2. Find a number such that if it be multiplied by 5 , and 24 be ...
Página 76
... twice as much left as B. What sum had each ? Ans . $ 95 . 17. After paying away of my money , and then of what was left , I had $ 180 . What sum had I at first ? Ans . $ 300 . 18. A line 37 feet in length is to be divided into 3 parts ...
... twice as much left as B. What sum had each ? Ans . $ 95 . 17. After paying away of my money , and then of what was left , I had $ 180 . What sum had I at first ? Ans . $ 300 . 18. A line 37 feet in length is to be divided into 3 parts ...
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Términos y frases comunes
acres added Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number yards
Pasajes populares
Página 299 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Página 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Página 105 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Página 85 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 177 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Página 206 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Página 80 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Página 79 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 60 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Página 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log