(20)
H (21)
After having marked two points, trace an arc of a circle which shall pass through both of them. The centre must be somewhere on a perpendicular to the middle of a cord which would join these two points.
35. Make several arcs pass through two given points•
Draw one arc as in problem 34, then a cord from point to point, then a perpendicular to the cord, and then you may make any number of arcs pass through the two points, all of whose centres must be on the per- pendicular.
This problem will assist the pupil in drawing the me- ridians on a map of the globe.
36. Describe a circle, and circumscribe it with a hexagon. (fig. 22.)
Cut the circumference into six equal arcs, as if you wished to inscribe the hexagon. Then draw a radius to each point, and six tangents perpendicular to the
- radii will form the regular hexagon required. Or, the
tangents may be drawn as in fig. 22, where they meet and form an angle on the prolonged radii.
(fig. 21.)
(22)
