# A Second Course in Algebra, Book 2

Allyn and Bacon, 1924 - Algebra - 461 pages

### Contents

 I 1 III 26 PRODUCTS AND FACTORS WITH APPLICATIONS 52 FRACTIONS AND FRACTIONAL EQUATIONS 89 POWERS AND ROOTS 131 VI 148 RADICALS 163 VIII 196
 GRAPHS 289 RATIO PROPORTION AND VARIATION 321 SERIES OR PROGRESSIONS 337 THE BINOMIAL THEOREM 355 XVI 362 XVII 391 XVIII 411 INDEX 457

### Popular passages

Page 378 - My lord, I have undertaken this long journey purposely to see your person, and to know by what engine of wit or ingenuity you came first to think of this most excellent help into astronomy, viz. the logarithms ; but, my lord, being by you found out, I wonder nobody else found it out before, when now known it is so easy.
Page 27 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 91 - To Reduce a Fraction to its Lowest Terms. A fraction is said to be in its lowest terms when its numerator and denominator are prime to each other (§ 111).
Page 371 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 376 - ... log. 2=— 1-^3 log. 2 =2.0969100 (2.) Calculate the common logarithm of 17. Ans. 1.2304489. (3.) Given the logs, of 2 and 3 to find the logarithm of 12.5. Ans. 1+2 log. 3— 2 log. 2. (4.) Having given the logs, of 3 and .21, to find the logarithm of 83349. Ans. 6+2 log. 3+3 log. .21. ON EXPONENTIAL EQUATIONS. An exponential equation is an equation in which the unknown...
Page 332 - The weight of a body above the earth's surface varies inversely as the square of its distance from the earth's center.
Page 366 - If the given number is greater than 1, make the characteristic of its logarithm one less than the number of figures to the left of the decimal point in the number.
Page 374 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 148 - They call one-fourth part of the circumference the girth, which is by them reckoned the side of a square, whose area is equal to the area of the section of the tree; therefore they square the girth, and then multiply by the length of the tree.
Page 324 - In any proportion, the product of the means is equal to the product of the extremes.