Hint for Exercise 2.2. The Compass Equivalence Theorem
It has been said that figures rule the world.
Maybe. But I am sure that figures show us whether it is being ruled well or
badly.
—Johann
Wolfgang von Goethe (1749–1832)
Select and drag the points A,
B, and
r to explore the
construction.
Hint 1. Drag A close to B.
Hint 2. Drag r to make circles centered at A with radius
AP and centered at B with radius r different sizes.
Hint 3. Drag B or r so that they are on opposite sides of
A.
You should find that the proof is not valid in at least two ways.
Timothy Peil, 29 January 2013, Created with GeoGebra
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