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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...