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Loci: Convergence

The Quadrature of the Circle and Hippocrates' Lunes

by Daniel E. Otero

References

Allman, George Johnston. Greek Geometry from Thales to Euclid. Arno Press, New York, 1975.

Artmann, Benno. Euclid -- The Creation of Mathematics. Springer, New York, 1999.

Castellanos, Dario. "The Ubiquitous pi, I." Mathematics Magazine 61, no. 2 (1988), 67-98.

---------. "The Ubiquitous pi, II." Mathematics Magazine 61, no. 3 (1988), 148-163.

Heath, Sir Thomas Little. The Thirteen Books of Euclid's Elements.  Dover, New York, 1956.

---------, A Manual of Greek Mathematics. Clarendon, Oxford, 1931.

Katz, Victor. A History of Mathematics: an Introduction. 2nd ed. Addison Wesley Longman, Reading, MA, 1998.

Knorr, Wilbur. The Evolution of the Euclidean Elements: a Study of the Theory of Incommensurable Magnitudes. Reidel, Boston, 1975.

Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid's Elements. MIT, Cambridge, MA, 1981.   


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