Numbers Symbolized: An Elementary AlgebraD. Appleton, 1889 - 364 páginas |
Dentro del libro
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Página viii
... lowest conımon multiple - Definitions Lowest common multiple of monomials Lowest common multiple of polynomials Cancellation - Definitions and principles . Multiplication and division by cancellation . Simultaneous equations of three ...
... lowest conımon multiple - Definitions Lowest common multiple of monomials Lowest common multiple of polynomials Cancellation - Definitions and principles . Multiplication and division by cancellation . Simultaneous equations of three ...
Página ix
... lowest terms Reduction of mixed quantities to improper fractions . Reduction of fractions to whole or mixed quantities Reduction of fractions to similar forms Addition and subtraction of fractions Multiplication and division of ...
... lowest terms Reduction of mixed quantities to improper fractions . Reduction of fractions to whole or mixed quantities Reduction of fractions to similar forms Addition and subtraction of fractions Multiplication and division of ...
Página 87
... lowest exponent it has in any one of the quantities . EXERCISE 52 . Find the H. C. D. of : 1. 8xy , 12xy , and 24x2 y2 2. 15 a2 b2 c2 , 25 a2 b2 , and 30 a2 c2 3. 20 x y3z , 30 x y z , and 40 x y z2 4. 20 a2 b3 , 25 a3 b2 c , and 35 at ...
... lowest exponent it has in any one of the quantities . EXERCISE 52 . Find the H. C. D. of : 1. 8xy , 12xy , and 24x2 y2 2. 15 a2 b2 c2 , 25 a2 b2 , and 30 a2 c2 3. 20 x y3z , 30 x y z , and 40 x y z2 4. 20 a2 b3 , 25 a3 b2 c , and 35 at ...
Página 89
... a1 , 24 — 2 a2x2 + a2 , x3- a x2 - a2 x + a3 - 29. x3 — y3 , x2 + xy + y2 , x1 + x2 y2 + y1 For highest common divisor by successive division , see Appendix . The Lowest Common Multiple . 1. Definitions . 106. A HIGHEST COMMON DIVISOR . 89.
... a1 , 24 — 2 a2x2 + a2 , x3- a x2 - a2 x + a3 - 29. x3 — y3 , x2 + xy + y2 , x1 + x2 y2 + y1 For highest common divisor by successive division , see Appendix . The Lowest Common Multiple . 1. Definitions . 106. A HIGHEST COMMON DIVISOR . 89.
Página 90
... Lowest Common Multiple . 109. The abbreviation L. C. M. stands for lowest com- mon multiple . 110. The L. C. M. of a3 b2 c , a b3 c2 , and a2 b2 c3 must contain each of these quantities [ Art . 107 ] : a3 b2 c = a xa xa x b x b x c a b3 ...
... Lowest Common Multiple . 109. The abbreviation L. C. M. stands for lowest com- mon multiple . 110. The L. C. M. of a3 b2 c , a b3 c2 , and a2 b2 c3 must contain each of these quantities [ Art . 107 ] : a3 b2 c = a xa xa x b x b x c a b3 ...
Otras ediciones - Ver todas
Numbers Symbolized: An Elementary Algebra David M. (David Martin) Sensenig Sin vista previa disponible - 2012 |
Términos y frases comunes
a b c a+b)² a+b)³ a+b+c a² b² a² b³ a²x² a³ b² a³ b³ acres arithmetical arithmetical progression bushels cent Clear of fractions coefficient complete divisor Complete the square cube root Definitions and Principles denominator difference Divide dividend divisible dollars exponent Extract the square feet Find the numbers Find the value geometrical progression horse Illustration Illustrations.-1 last term miles minuend monomial Multiply negative quantity number of terms polynomial positive quantity quadratic equation quan quantities equals quotient radical ratio Reduce Required the number rods SIGHT EXERCISE Solution Solve square root Subtract surd tity Transpose trial divisor trinomial twice unknown quantities x² y¹ x² y² x² y³ x³ y² x³ y³
Pasajes populares
Página 40 - AXIOM is a self-evident truth ; such as, — 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. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, or of equal things, are equal to each other.
Página 160 - ... term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.
Página 74 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Página 278 - ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms.
Página 174 - At the left of the dividend write three times the square of the root already found, for a trial divisor ; divide the first term of the dividend by this divisor, and write the quotient for the next term of the root.
Página 260 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 169 - Tlie result will be the complete divisor. Multiply the complete divisor by the last term of the root found, and subtract this product from the dividend.
Página 153 - A and B can do a piece of work in 4 days, A and C in 6 days...
Página 271 - ... the sum of the terms. The first term and last term are called the extremes, and all the terms between the extremes are called arithmetical means.
Página 300 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the other two terms into the common term, and the product of the unlike terms.