Open Science Repository Mathematics

doi: 10.7392/openaccess.23050415


A mathematical formula obtained by Evans triangle


Zhou Ya Nan

East China Institute of Technology


Abstract

R. J. Evans in 1977 in the American Mathematical Monthly asked such a question: Find all the integer side of the triangle, make it a high and the bottom edge of the ratio is an integer this triangle is only d = 3. At the same time, Evans has given such a triangle, the length of 3, 8, 53. In 2009 the side Hin constructs a kind of the triangle, and that such a triangle has infinite. In this paper, a formula are obtained by Evans, the definition of the triangle, by this formula obtained Evans triangle

Keywords: integers, rational numbers.



Citation: Nan, Z. Y. (2013). A mathematical formula obtained by Evans triangle. Open Science Repository Mathematics, Online(open-access), 23050415. doi:10.7392/openaccess.23050415

Received: August 27, 2013

Published: September 16, 2013

Copyright: © 2013 Nan, Z. Y. Creative Commons Attribution 3.0 Unported License.

Contact: research@open-science-repository.com



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Cite this paper

APA

Nan, Z. Y. (2013). A mathematical formula obtained by Evans triangle. Open Science Repository Mathematics, Online(open-access), 23050415. doi:10.7392/openaccess.23050415

MLA

Nan, Zhou Ya. “A Mathematical Formula Obtained by Evans Triangle.” Open Science Repository Mathematics Online.open-access (2013): 23050415.

Chicago

Nan, Zhou Ya. “A Mathematical Formula Obtained by Evans Triangle.” Open Science Repository Mathematics Online, no. open-access (September 16, 2013): 23050415. doi:10.7392/openaccess.23050415.

Harvard

Nan, Z.Y., 2013. A mathematical formula obtained by Evans triangle. Open Science Repository Mathematics, Online(open-access), p.23050415.

Science

1. Z. Y. Nan, A mathematical formula obtained by Evans triangle, Open Science Repository Mathematics Online, 23050415 (2013).

Nature

1. Nan, Z. Y. A mathematical formula obtained by Evans triangle. Open Science Repository Mathematics Online, 23050415 (2013).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.23050415.




Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.