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added addition algebraic arithmetical arranged binomial called cents changed CHAPTER coefficient common contains definition denominator digits dividing division divisor equal example exceeds EXERCISE exponent expression Extract factors feet Find the number four fraction geometrical given graph greater Hence hour increased indicated inequality integral laws less letters logarithm means method miles monomial multiplying negative obtained operation points polynomial positive preceding progression proportion quadratic equation quantity quotient radical ratio Reduce remainder represent respectively resulting Rule shown simple simplifying solutions Solve square root substituting subtracted surds taken things third tion transposing and uniting unknown VERIFICATION Write written x²y x²y² xy²
Page 333 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 131 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 383 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 43 - 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 382 - We therefore have : (ii.) The characteristic of the logarithm of a number less than 1 is negative, and is numerically one greater than the number of ciphers immediately following the decimal point.
Page 343 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Page 40 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c.
Page 328 - The first and fourth terms of a proportion are called the extremes, and the second and third the means.
Page 342 - The volume of a sphere varies as the cube of the radius, and the surface area of a, sphere as the square of the radius.
Page 275 - Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259.