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 vii
... Square of the Sum of two Quantities , ( 59 ) .— Square of the Difference of ... Find the Greatest Common Measure of Two Quantities , ( 66 ) . Whether the ... Find the Least Common Multiple of Two or More Quantities , ( 74 ) . CHAPTER IV ...
... Square of the Sum of two Quantities , ( 59 ) .— Square of the Difference of ... Find the Greatest Common Measure of Two Quantities , ( 66 ) . Whether the ... Find the Least Common Multiple of Two or More Quantities , ( 74 ) . CHAPTER IV ...
Página xii
... find the Sum or Difference of Similar Surds — of Dissimular Surds , ( 240 ) ... Square Root of a Numerical Binomial of the form a ± √b ( 245 ) .— Of ... Square Roots , ( 249 ) CHAPTER X. QUADRATIC AND OTHER EQUATATIONS . - 167 ... xii ...
... find the Sum or Difference of Similar Surds — of Dissimular Surds , ( 240 ) ... Square Root of a Numerical Binomial of the form a ± √b ( 245 ) .— Of ... Square Roots , ( 249 ) CHAPTER X. QUADRATIC AND OTHER EQUATATIONS . - 167 ... xii ...
Página 97
... find by dividing the product of the second and third by the first . Thus from the equation ay = bx , we find y = bx a · ( 151. ) Cor . 2. When three quantities are in Proportion , the pro- dut of the two extremes is equal to the square ...
... find by dividing the product of the second and third by the first . Thus from the equation ay = bx , we find y = bx a · ( 151. ) Cor . 2. When three quantities are in Proportion , the pro- dut of the two extremes is equal to the square ...
Página 98
... square of the first to that of the second , or the square of the second to that of the third . Let abb : x ; then will ax :: a2 : b2 ; or a : x :: b2 : x2 . From the given proportion , we find ax - b2 , ( 151 ) . Multiplying both sides ...
... square of the first to that of the second , or the square of the second to that of the third . Let abb : x ; then will ax :: a2 : b2 ; or a : x :: b2 : x2 . From the given proportion , we find ax - b2 , ( 151 ) . Multiplying both sides ...
Página 116
... square of the middle term when the number of terms is odd . Let a be the ... found true for any number of terms . ( 189. ) Cor . A geometrical mean , or a mean ... find Sr - Sar5 - a ; which gives S = ar5 -a r - 1 In the numerator of this ...
... square of the middle term when the number of terms is odd . Let a be the ... found true for any number of terms . ( 189. ) Cor . A geometrical mean , or a mean ... find Sr - Sar5 - a ; which gives S = ar5 -a r - 1 In the numerator of this ...
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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
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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