A High School Algebra, Part 2

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D. Appleton and Company, 1914
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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 166 - The time of oscillation of a pendulum varies directly as the square root of its length. What is the length of a pendulum which makes an oscillation in 5 sec., a 2-second pendulum being 156.8 in.
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, 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...
Page 164 - Given that the area of a circle varies as the square of its radius...

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