15. When a tangent is drawn from a given point, how many points of a circle can it touch ?
16. What is the proportion between the radius of a Circle and one side of a hexagon inscribed in it ?
17. What is meant by unequal circles ? (p. 20.)
18. What is meant by a regular Polygon ? (p. 21.)
19. What is a regular hexagon ?
20. What is a regular pentagon ?
21. What is a regular octagon?
22. How will you circumscribe a triangle with a circle ?
23. How will you find the Centre of a circle to be in- scribed in a triangle ?
24. Where is the centre of an Arc which passes through two given points ?
25. When you wish to draw several arcs through two given points, as in drawing the meridians on a map of the globe, how do you proceed ?
26. When the base and other sides of a triangle are given, how will you find the point where the other two sides will touch ?
27. If the sides cannot touch, how is the problem said to be ?
FOURTH CLASS.
1. In drawing a right line, tangent to two circles, how must the two circles be placed t (p. 25.)
2. When are two circles said to intersect each other ?
3. How many tangents may be drawn to two circles ?
4. How many will be interior, and how many ex- terior ?
5. Where will the interior tangents cross each other ?
