Complete Secondary AlgebraMacmillan Company, 1901 |
Contents
1 | |
24 | |
42 | |
79 | |
88 | |
99 | |
106 | |
115 | |
348 | |
360 | |
373 | |
392 | |
405 | |
412 | |
420 | |
427 | |
118 | |
127 | |
129 | |
159 | |
167 | |
204 | |
210 | |
218 | |
226 | |
228 | |
235 | |
251 | |
257 | |
265 | |
277 | |
300 | |
311 | |
324 | |
434 | |
443 | |
451 | |
457 | |
483 | |
496 | |
511 | |
518 | |
524 | |
534 | |
540 | |
567 | |
Other editions - View all
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.