Algebra for Colleges and SchoolsMacmillan, 1897 - 516 páginas |
Dentro del libro
Resultados 1-5 de 29
Página 7
... tion to the following hints : 1. Too much importance cannot be attached to neatness of style and arrangement . The beginner should remember that neatness is in itself conducive to accuracy . = 2. The sign should never be used except to ...
... tion to the following hints : 1. Too much importance cannot be attached to neatness of style and arrangement . The beginner should remember that neatness is in itself conducive to accuracy . = 2. The sign should never be used except to ...
Página 55
... tion , or an identity . The sign of identity frequently used is . The parts of an equation to the right and left of the sign of equality are called members or sides of the equation , and are distinguished as the right side and left side ...
... tion , or an identity . The sign of identity frequently used is . The parts of an equation to the right and left of the sign of equality are called members or sides of the equation , and are distinguished as the right side and left side ...
Página 56
... tion of an equation , that is considered . 76. An equation which involves the unknown quantity in the first degree is called a simple equation . The process of solving a simple equation depends upon the following axioms : 1. If to ...
... tion of an equation , that is considered . 76. An equation which involves the unknown quantity in the first degree is called a simple equation . The process of solving a simple equation depends upon the following axioms : 1. If to ...
Página 65
... tion ; we thus obtain a simple equation which can be solved by the methods already given in Chapter VII . NOTE . Unknown quantities are usually represented by the last letters of the alphabet . Ex . 1. Find two numbers whose sum is 28 ...
... tion ; we thus obtain a simple equation which can be solved by the methods already given in Chapter VII . NOTE . Unknown quantities are usually represented by the last letters of the alphabet . Ex . 1. Find two numbers whose sum is 28 ...
Página 72
... tion has there been drawn to the way in which , in forming the product of two binomials , the coefficients of the different terms combine so as to give a trinomial result . Thus , by Art . 51 , ( x + 5 ) ( x + 3 ) = x2 + 8x + 15 ( x - 5 ) ...
... tion has there been drawn to the way in which , in forming the product of two binomials , the coefficients of the different terms combine so as to give a trinomial result . Thus , by Art . 51 , ( x + 5 ) ( x + 3 ) = x2 + 8x + 15 ( x - 5 ) ...
Contenido
82 | |
92 | |
102 | |
126 | |
136 | |
147 | |
154 | |
169 | |
218 | |
225 | |
235 | |
242 | |
249 | |
264 | |
273 | |
279 | |
293 | |
386 | |
394 | |
400 | |
404 | |
413 | |
430 | |
435 | |
444 | |
450 | |
458 | |
469 | |
476 | |
483 | |
491 | |
514 | |
Otras ediciones - Ver todas
Términos y frases comunes
a²b a²b² a²x a²x² a³b ab² ab³ algebraic arithmetic means arithmetical ascending powers ax² ax³ b₁ binomial Binomial Theorem brackets bx² cents CHAPTER coefficient common difference compound expressions continued fraction convergent cube root denote digits dimes Divide division divisor equal EXAMPLES find the number Find the square Find the sum find the value following expressions greater harmonic means Hence highest common factor inequality letters logarithm lowest common multiple means miles an hour Multiply negative number of terms numerator and denominator obtain prove quadratic equation quotient ratio remainder Resolve into factors result rule rule of signs Simplify Solve square root subtraction surd symbols Theorem unknown quantity whence 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 262 - 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 349 - The logarithm of a product is the sum of the logarithms of its factors.
Página 350 - 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 287 - 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 326 - 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 320 - 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 288 - Hence if any three terms of a proportion are given, the fourth may be found. Thus if a...