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Approximate with Technology: Trisecting


trisecting an angle It is a well-known fact that trisecting an angle with Greek construction rules is impossible. But this does not mean that one can not provide a construction, which approximates the trisection. Use a dynamic geometry software and a spreadsheet determine how well is the construction described below. Construction: Given an angle AOB, construct the bisection AOC, with OA = OC = OB. Then construct a trisection of BC such that BD = 2CD. Then the angle DOB is approximately the trisection of the angle AOB. Is it? Explain why or why not.

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spreadsheet file iconClick Here to get a spreadsheet file


 Extensions

Try to find and analyze another construction for approximating the trisecting an angle.



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