Elements of AlgebraMacmillan, 1918 |
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Página v
... any binomial 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 ...
... any binomial 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 ...
Página ix
... in Division Horner's Method of Synthetic Division VI . Removal and Insertion of Brackets Miscellaneous Examples II . 37 38 39 40 44 46 48 · 53 VII . Simple Equations 55 CHAPTER PAGE VIII . Symbolical Expression IX . Problems Leading ix.
... in Division Horner's Method of Synthetic Division VI . Removal and Insertion of Brackets Miscellaneous Examples II . 37 38 39 40 44 46 48 · 53 VII . Simple Equations 55 CHAPTER PAGE VIII . Symbolical Expression IX . Problems Leading ix.
Página x
... Equations X. Resolution into Factors Trinomial Expressions . Difference of Two Squares Important Cases Sum or ... Equations . 136 XVI . Problems 141 Miscellaneous Examples III . 144 XVII . Simultaneous Equations 147 • Elimination by ...
... Equations X. Resolution into Factors Trinomial Expressions . Difference of Two Squares Important Cases Sum or ... Equations . 136 XVI . Problems 141 Miscellaneous Examples III . 144 XVII . Simultaneous Equations 147 • Elimination by ...
Página xi
... Equations 236 Affected Quadratic Equations 237 Solution by Formula 239 Solution by Factoring 241 Formation of Equations with Given Roots 242 Values found for the Unknown Quantity which do not satisfy the Original Equation 243 • CHAPTER ...
... Equations 236 Affected Quadratic Equations 237 Solution by Formula 239 Solution by Factoring 241 Formation of Equations with Given Roots 242 Values found for the Unknown Quantity which do not satisfy the Original Equation 243 • CHAPTER ...
Página xii
Henry Sinclair Hall. CHAPTER XXVII . Equations in Quadratic Form XXVIII . Simultaneous Equations involving Quadratics . PAGE 245 249 Homogeneous Equations of the Same Degree 253 • Symmetrical Equations Miscellaneous Cases . XXIX ...
Henry Sinclair Hall. CHAPTER XXVII . Equations in Quadratic Form XXVIII . Simultaneous Equations involving Quadratics . PAGE 245 249 Homogeneous Equations of the Same Degree 253 • Symmetrical Equations Miscellaneous Cases . XXIX ...
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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
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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.