Algebra for Colleges and SchoolsMacmillan, 1897 - 516 páginas |
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Página v
... present revision of Hall and Knight's Elementary Algebra has been undertaken . The marked success of the work , and the hearty endorse- ment by many of our ablest educators of the treatment of the subject as therein presented , warrant ...
... present revision of Hall and Knight's Elementary Algebra has been undertaken . The marked success of the work , and the hearty endorse- ment by many of our ablest educators of the treatment of the subject as therein presented , warrant ...
Página vi
... present revision ; and its introduction makes the work available for use in college classes . Carefully selected exercises are given with each chapter , and at the end of the work a large miscellaneous collection will be found . The ...
... present revision ; and its introduction makes the work available for use in college classes . Carefully selected exercises are given with each chapter , and at the end of the work a large miscellaneous collection will be found . The ...
Página vii
... present edition from entirely new plates has enabled us to correct a few typographical errors found in the first edition , and give , at the suggestion of friends , a somewhat fuller explanation of the more diffi- cult parts of the ...
... present edition from entirely new plates has enabled us to correct a few typographical errors found in the first edition , and give , at the suggestion of friends , a somewhat fuller explanation of the more diffi- cult parts of the ...
Página 1
... present , it will be assumed that all the algebraic symbols employed represent integral numbers . 2. An algebraic expression is a collection of symbols ; it may consist of one or more terms , which are the parts sepa - . Thus , rated ...
... present , it will be assumed that all the algebraic symbols employed represent integral numbers . 2. An algebraic expression is a collection of symbols ; it may consist of one or more terms , which are the parts sepa - . Thus , rated ...
Página 27
... present a , b , c , m de- note positive whole numbers , and that a is supposed to be greater than b . EXAMPLES IV . a . Find value of 1. 5x2 x 7x5 . 6. 2 abc x 3 ac3 . 11 . x3y3 × 6 a2x2 . 2. 4a3 × 5 ao . 7 . 2 a3b3 x 2 a3b3 . 12 . abc ...
... present a , b , c , m de- note positive whole numbers , and that a is supposed to be greater than b . EXAMPLES IV . a . Find value of 1. 5x2 x 7x5 . 6. 2 abc x 3 ac3 . 11 . x3y3 × 6 a2x2 . 2. 4a3 × 5 ao . 7 . 2 a3b3 x 2 a3b3 . 12 . abc ...
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Términos y frases comunes
a²b a²b² a²x a²x² a³b ab² ab³ algebraic arithmetic means arithmetical ascending powers ax² ax³ b₁ binomial Binomial Theorem bx² cents CHAPTER coefficient column compound expressions continued fraction convergent cube denote digits dimes Divide dividend divisible divisor equal equation EXAMPLES Find the highest find the number Find the square Find the sum find the value fraction harmonic means Hence highest common factor integer letters logarithm lowest common multiple miles an hour Multiply negative number of terms numerator and denominator obtain positive quadratic quadratic equation quotient ratio remainder Resolve into factors result rule of signs Simplify Solve square root Subtract surd symbols unknown quantity whence whole number x²y x²y² x³y xy² xy³ yards zero
Pasajes populares
Página 167 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Página 264 - That is, if a quadratic equation be reduced to the form x?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed.
Página 351 - The logarithm of a product is the sum of the logarithms of its factors.
Página 352 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Página 183 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Página 102 - ... remainder. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder.
Página 289 - 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 328 - A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest: find the total number of signals that can be made.
Página 322 - From 7 Englishmen and 4 Americans a committee of 6 Is to be formed: in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans...
Página 290 - Hence if any three terms of a proportion are given, the fourth may be found. Thus if a...