Elements of Algebra

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Ginn, Heath, 1883 - Algebra - 350 pages
 

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Page 295 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 158 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit c cents.
Page 460 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 144 - How far may he ride in a coach that travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 432 - Д. 16. The volume of a sphere varies as the cube of its diameter. Compare the volume of a sphere 6 inches In diameter with the sum of the volumes of three spheres whose diameters are 3, 4, 5 inches respectively.
Page 205 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 446 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200; and the sum of the squares of the means is 136. What are the numbers 1 Prob.
Page 156 - В contains 9 gallons of wine and 3 gallons of water; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water t 33.
Page 140 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Page 298 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines.

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