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Various

"Scientific American Supplement, No. 561, October 2, 1886"


6. How many feet, board measure, in the flooring of a room 20 feet by
30 feet and 21/2 inches thick?
7. Find value of x and y in the following equations:
2 x + 3 y = 33
4 x - y = 17.
8. Find value of x in equation x squared - x - 40 = 170.
9. Find value of x in equation
--------
a / a squared - x squared x
- + / ------- = -
b \/ x squared b
10. Explain the meaning of the expression a1/2 x b3/4.
11. What is a logarithm?
12. What is the base of the common system?
13. In making what calculations are logarithms useful?
14. How do you find the logarithm of a number in a table of
logarithms?
15. What are similar triangles?
16. How are similar triangles proportioned to each other?
17. The sides of a polygon being prolonged, what is the sum of all the
exterior angles equal to?
18. How do you pass the circumference of a circle through three given
points not in the same straight line?
19. How do you describe a square in a circle?
[Illustration]
20. In the triangle, b being a right angle, what proportion does d b
bear to a d and d c?
21. How do you inscribe a regular hexagon in a circle?
22. What proportion do circumference and areas of circles bear to
their radii?
23. How do you find the area of a regular polygon?
24.


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