“The diagonal ofa parallelepiped.”
“Do youknow anyproblem with the same unknown?”
“No. We have nothad anyproblemyetaboutthe diagonal ofa parallelepiped.” “Do youknow anyproblem with a similar unknown?”
. . . . .
“You see, the diagonal is a segment, the segment of a straight line. Did you never solve a problem whose unknown as the lengthofa line?”
“Of course, we have solved such problems. For instance, to find a side of a right triangle.” “Good! Here is a problem related to yours and solved before. Could you use it?”
. . . . .
“You were lucky enough to remember a problem which is related to your present one and which you solved before. Would you like to use it? Could you introduce some auxiliary element in order to make its use possible?”
FIG. 1
. . . . .
“Look here, the problem you remembered is about a triangle. Have you any triangle in your figure?”
Let us hope that the last hint was explicit enough to provoke the idea of the solution which is to introduce a right triangle, (emphasized in Fig. 1)
“The diagonal ofa parallelepiped.”“Do youknow anyproblem with the same unknown?”“No. We have nothad anyproblemyetaboutthe diagonal ofa parallelepiped.” “Do youknow anyproblem with a similar unknown?”. . . . .“You see, the diagonal is a segment, the segment of a straight line. Did you never solve a problem whose unknown as the lengthofa line?”“Of course, we have solved such problems. For instance, to find a side of a right triangle.” “Good! Here is a problem related to yours and solved before. Could you use it?”. . . . .“You were lucky enough to remember a problem which is related to your present one and which you solved before. Would you like to use it? Could you introduce some auxiliary element in order to make its use possible?”FIG. 1. . . . .“Look here, the problem you remembered is about a triangle. Have you any triangle in your figure?”Let us hope that the last hint was explicit enough to provoke the idea of the solution which is to introduce a right triangle, (emphasized in Fig. 1)
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