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### Contents

 44 79 Simultaneous Equations involving Quadratics 83 Converse Use of Factors 85 Fractions 92 Lowest Common Multiple 102 Reduction to Lowest Terms 108 Addition and Subtraction 114
 Surds Radicals 203 Imaginary Quantities 222 Formation of Equations with Given Roots 242 CHAPTER PAGE 345 Logarithms 352 165 357 Copyright

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Page 319 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Page 298 - 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.
Page 167 - 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
Page 328 - 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.
Page 351 - The logarithm of a product is the sum of the logarithms of its factors.
Page 183 - 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.
Page 352 - 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.
Page 100 - 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.
Page 322 - 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...
Page 289 - 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.