Complete Secondary AlgebraMacmillan Company, 1901 |
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Σελίδα iii
... , to understand the use of letters to represent general and unknown numbers . Negative numbers are naturally intro- duced in connection with the extension of subtraction of arithmetical numbers . The meaning and use of positive and iii.
... , to understand the use of letters to represent general and unknown numbers . Negative numbers are naturally intro- duced in connection with the extension of subtraction of arithmetical numbers . The meaning and use of positive and iii.
Σελίδα iv
George Egbert Fisher. arithmetical numbers . The meaning and use of positive and negative numbers , in the fundamental operations , are properly emphasized . " Equations and problems are distributed throughout the book . The importance ...
George Egbert Fisher. arithmetical numbers . The meaning and use of positive and negative numbers , in the fundamental operations , are properly emphasized . " Equations and problems are distributed throughout the book . The importance ...
Σελίδα vii
... Arithmetical Numbers . PAGE 204 210 213 215 · • · 217 · • • 218 221 · 222 226 228 CHAPTER XV . SURDS • 235 Reduction of Surds • 236 • Addition and Subtraction of Surds • 239 Reduction of Surds of Different Orders to Equivalent Surds of ...
... Arithmetical Numbers . PAGE 204 210 213 215 · • · 217 · • • 218 221 · 222 226 228 CHAPTER XV . SURDS • 235 Reduction of Surds • 236 • Addition and Subtraction of Surds • 239 Reduction of Surds of Different Orders to Equivalent Surds of ...
Σελίδα viii
... PROGRESSIONS · CHAPTER XXI . Arithmetical Progression Geometrical Progression Harmonical Progression 311 311 313 • 320 324 324 · 331 • • 339 CHAPTER XXII . BINOMIAL THEOREM FOR POSITIVE INTEGRAL EXPONENTS PAGE viii CONTENTS .
... PROGRESSIONS · CHAPTER XXI . Arithmetical Progression Geometrical Progression Harmonical Progression 311 311 313 • 320 324 324 · 331 • • 339 CHAPTER XXII . BINOMIAL THEOREM FOR POSITIVE INTEGRAL EXPONENTS PAGE viii CONTENTS .
Σελίδα ix
... Series CHAPTER XXVII . 396 401 403 THE BINOMIAL THEOREM FOR ANY RATIONAL EXPONENT Properties of Binomial Coefficients Roots of Arithmetical Numbers . 405 406 411 LOGARITHMS CHAPTER XXVIII . Principles of Logarithms PAGE 412 • CONTENTS . ix.
... Series CHAPTER XXVII . 396 401 403 THE BINOMIAL THEOREM FOR ANY RATIONAL EXPONENT Properties of Binomial Coefficients Roots of Arithmetical Numbers . 405 406 411 LOGARITHMS CHAPTER XXVIII . Principles of Logarithms PAGE 412 • CONTENTS . ix.
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ a²b a²b² ab² algebraic arithmetical arithmetical means arithmetical progression balls binomial coefficient column continued fraction corresponding cube root d₁ d₂ decimal places denominator determinant difference digits divided division divisor equal equation whose roots examples illustrate EXERCISES exponent factors Find the value finite number following expressions geometrical progression given equation given expression given series graph harmonical mean imaginary integer integral last term less logarithms mantissa miles monomial multinomial multiplied negative number nth term obtained partial fractions partial quotient positive number preceding article principle quadratic equation r₁ radicand ratio real roots remainder result second term solution Solve the equation square root Sturm's Theorem Substituting subtracted surd third unknown number variations of sign whence wherein x²y x²y² yards
Δημοφιλή αποσπάσματα
Σελίδα 74 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Σελίδα 316 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Σελίδα 349 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Σελίδα 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Σελίδα 216 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Σελίδα 221 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 216 - ... the terms of the binomial is negative. Observe, as a check : (vii.) The sum of the exponents of a and b in any term is equal to the binomial exponent.
Σελίδα 416 - We therefore have : (i.) The characteristic of the, logarithm of a number greater than unity is positive, and is one less than the number of digits in its integral part.
Σελίδα 352 - That is, the number of combinations of n dissimilar things r at a time is equal to the number of combinations of the n things n — r at a time.
Σελίδα 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.