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An Investigation of Historical Geometric Constructions - Conclusion and References

Suzanne Harper and Shannon Driskell

Although the three famous geometric construction problems are closely linked, we choose to deeply examine the trisection of an angle and the quadrature of the square with the use of dynamic geometry software. The dynamic capabilities of Sketchpad allow a user to analyze endless representations of trisecting an angle and calculating the area of a lune. Having opportunities to dynamically investigate these constructions may be extremely beneficial for students to visualize the construction beyond one static example to multiple dynamic examples. 




Burton, D.A. (2003). The history of mathematics: An introduction (5th ed.). New York: McGraw-Hill.

Cajori, F. (1924). A history of elementary mathematics with hints on methods of teaching. Rev. and enl. Ed. New York: MacMillan.

Heath, T.L. (1921). A History of Greek Mathematics (vol. 1). New York: Oxford University Press.

Heath, T.L. (1963). Greek mathematics. New York: Dover.


Suzanne Harper and Shannon Driskell, "An Investigation of Historical Geometric Constructions - Conclusion and References," Loci (August 2010)