Elements of AlgebraMacmillan, 1918 |
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Página v
... surd follows the treatment of binomial quad- ratic surds ; Chapter XLII . has been re - written in part , and appears as a chapter on equations in quadratic form ; and the chapter on logarithms has been enlarged by the addition.
... surd follows the treatment of binomial quad- ratic surds ; Chapter XLII . has been re - written in part , and appears as a chapter on equations in quadratic form ; and the chapter on logarithms has been enlarged by the addition.
Página xi
... Surd 217 Square Root of a Binomial Surd by Inspection 218 Equations involving Surds 220 XXIV . Imaginary Quantities 222 Imaginary Unit 223 Fundamental Algebraic Operations 225 XXV . Problems 227 . Miscellaneous Examples IV .. 232 XXVI ...
... Surd 217 Square Root of a Binomial Surd by Inspection 218 Equations involving Surds 220 XXIV . Imaginary Quantities 222 Imaginary Unit 223 Fundamental Algebraic Operations 225 XXV . Problems 227 . Miscellaneous Examples IV .. 232 XXVI ...
Página 202
... * ) . a - 8 ab 29 . a3 + 2√ab + 4b3 30 . x - 7x x - 5√x - 14 · ÷ ( 1+ + ( 1 + 2 ) ? ! ? -1 x3 - 43 / x - 2 х 31 . 3 / x2 + 4 + 4x = 3 3 a2 + ab 32 . Va ab b3 - a - b CHAPTER XXIII . SURDS ( RADICALS ) . 227. A 202 ALGEBRA .
... * ) . a - 8 ab 29 . a3 + 2√ab + 4b3 30 . x - 7x x - 5√x - 14 · ÷ ( 1+ + ( 1 + 2 ) ? ! ? -1 x3 - 43 / x - 2 х 31 . 3 / x2 + 4 + 4x = 3 3 a2 + ab 32 . Va ab b3 - a - b CHAPTER XXIII . SURDS ( RADICALS ) . 227. A 202 ALGEBRA .
Página 203
... surds may always be expressed as quantities with fractional indices they are subject to the same laws of combination as other algebraic symbols . 228. A surd is sometimes called an irrational quantity ; and quantities which are not surds ...
... surds may always be expressed as quantities with fractional indices they are subject to the same laws of combination as other algebraic symbols . 228. A surd is sometimes called an irrational quantity ; and quantities which are not surds ...
Página 204
... surd is unity , it is said to be entire . 233. When the irrational factor is integral , and all rational factors have been removed , the surd is in its simplest form . 234. When surds of the same order contain the same irrational factor ...
... surd is unity , it is said to be entire . 233. When the irrational factor is integral , and all rational factors have been removed , the surd is in its simplest form . 234. When surds of the same order contain the same irrational factor ...
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Elements of Algebra: Being the First Thirty-Eight Chapters of Hall and ... Henry Sinclair Hall Sin vista previa disponible - 2017 |
Términos y frases comunes
a²b a²b² a²x a²x² a³b ab² ab³ Arithmetic arithmetic means arranged ax² ax³ binomial Binomial Theorem bx² cents CHAPTER coefficient complete quotient compound expressions contains cube root denote digits dimes Divide dividend division divisor equal equation Find the highest find the number Find the square Find the sum find the value following expressions fraction harmonic means Hence highest common factor letters logarithm lowest common multiple means Multiply negative number of terms numerator and denominator obtain prefix 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 x³y² x³y³ xy² xy³ yards zero
Pasajes populares
Página 321 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Página 300 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Página 169 - 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. INVOLUTION OF MONOMIALS. 187. From definition -we have, by the rules of multiplication, (a2)* = a1 . a
Página 330 - Simoom, so that vowels and consonants occur alternately in each word ? 4. 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 353 - The logarithm of a product is the sum of the logarithms of its factors.
Página 185 - 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 354 - DEFINITION. The integral part of a logarithm is called the characteristic, and the decimal part, when it is so written that it is positive, is called the mantissa.
Página 102 - DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L.
Página 324 - 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 ? (1...
Página 291 - 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.