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8th term a²b² a²x ab² algebraic angle arithmetical means arithmetical progression ax² binomial cents coefficient complex number cost cube root decimal Determine diagonal difference distance Divide division divisor dollars equal Exercises Solve exponents expression Extract the square factors Find the number Find the sum Find the value following equations fraction geometrical progression given Hence Hint hypotenuse Illustrative example imaginary inches length logarithm mantissa mathematical induction means miles an hour Multiply nearest hundredth nearest tenth numerator and denominator obtain Oral Exercises polynomial pounds quadratic equation quotient radical radicand ratio rectangle remainder represent result right triangle Simplify Solution Solve and check Solve formula square feet square root substituting subtracted surd Theorem trinomial unknown quantity width Write x²y x²y² x³y yards
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 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.