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absolute integers added algebra altitude angle applied approximately arithmetical mean arithmetical progression arithmetical series base binomial expansion called Chapter coefficients Commutative Law complex number cube root cubic equation decimal degree denominator denotes digits distance divided division divisor equal expression figure Find the logarithm Find the number Find the sum fixed number following questions summarize formula fractional exponents geometric mean geometric progression geometric series graph Hence laws of exponents linear equations logarithm mantissa method multiply negative exponents negative number notation number system ORAL EXERCISES polynomial proportion quadratic equation quotient radius rectangle relative numbers represented graphically result satisfy side of length Similarly simultaneous equations solution square root Substituting subtract summarize the definitions symbol Test tion triangle trinomial unknown volume Write WRITTEN EXERCISES Find WRITTEN EXERCISES Solve zero
Page 164 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 165 - It has been found by experiment that the weight of a body varies inversely as the square of its distance from the center of the earth. If...
Page 44 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Page 212 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Page 179 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term.
Page 157 - In any proportion, the product of the means equals the product of the extremes.
Page 97 - The logarithm of a number with an exponent is the product of the exponent and the logarithm of the number.
Page 137 - Therefore, since a, ß are the roots of x2 + bx /a + c /a = 0, we have the theorem : In any quadratic of the form x2 + px + q = 0 the coefficient of x with its sign changed is equal to the sum of the roots, and the constant term is equal to the product of the roots. Thus, in the quadratic 6x2...