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THE POPULAR SCIENCE MONTHLY.
solutions upon the blackboard. The problems admit of such graphical representation on the board, and there are always so many different forms of solution, that pupils delight in this bold
Fig. 8.
drawing of what they have wrought out at their desks. Explanation follows the drawing, in which the pupil accounts for each step and every point he has used in constructing. At the start
Fig. 9.
he does not see what points he may take, nor what are given. For instance, the simple problem, "Can you place two circles to touch each other at a particular point?" will likely be drawn as shown
