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Conway’s Nonperpendiculars as a Tool: The Case of the Law of Cosines

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References

  • Cain, A. (2010). Deus ex Machina and the Aesthetics of Proofs. The Mathematical Intelligencer 32(3), 7–11.

  • Conway, J. (2014). On Morley’s Trisector Theorem. The Mathematical Intelligencer 36(3), 3.

  • Coxeter, H. S. M., and Greitzer, S. L. (1967). Geometry Revisited. Washington, D.C.: The Mathematical Association of America.

  • Karamzadeh, O. A. S. (2014). Is John Conway’s Proof of Morley’s Theorem the Simplest and Free of A Deus Ex Machina? The Mathematical Intelligencer 36(3), 4–7.

  • Loomis, E. S. (1940/1968). The Pythagorean Proposition: Its Demonstrations Analyzed and Classified and Bibliography of Sources for Data of the Four Kinds of “Proofs.” Ann Arbor, MI: Elisha S. Loomis (1940) and reprint: Washington, D.C.: The National Council of Teachers of Mathematics (1968). (see also: http://files.eric.ed.gov/fulltext/ED037335.pdf).

  • Wertheimer, M. (orig: 1945/1982). Productive Thinking (enlarged edition by Michael Wertheimer). Chicago: The University of Chicago Press.

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Correspondence to Michael Neubrand.

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The Viewpoint column offers readers of The Mathematical Intelligencer the opportunity to write about any issue of interest to the international mathematical community. Disagreement and controversy are welcome. The views and opinions expressed here, however, are exclusively those of the author, The publisher and editor-in-chief do not endorse them or accept responsibility for them. Articles for Viewpoint should be submitted to the Editor-in-Chief, Marjorie Senechal.

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Neubrand, M. Conway’s Nonperpendiculars as a Tool: The Case of the Law of Cosines. Math Intelligencer 38, 1–3 (2016). https://doi.org/10.1007/s00283-015-9578-1

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