Guyanese Online

  Photo: Lyndon O. Barton

For background, the historical significance of this paper lies in the fact that besides being rooted in antiquity (around 250 B.C.), it was, until now, one of the three unsolvable problems of Geometry -the other two being the doubling of a cube and the squaring of a circle. Now that Lyndon has solved the trisection problem, it is no longer one of the unsolvable problems of Geometry.

Guyana-born Lyndon O. Barton, author of Mechanism Analysis–Simplified Graphical and Analytical Techniques 1st and 2nd Editions (a textbook written for mechanical engineers and students of mechanical engineering) has recently published a research paper entitled, “A Procedure for Trisecting an Acute Angle.”  The procedure sets forth the construction of an angle that is exactly one-third of any acute angle (less than 90-degrees) in a finite number of steps, using only an unmarked straightedge and a compass.

The paper is accessible at:

https://www.scirp.org/journal/paperinformation.aspx?paperid=115160

See also, Vol.12 No.2, February 14, 2022, of Advances in Pure Mathematics (APM).

MORE ABOUT THE AUTHOR

Lyndon is a retired Senior Engineer of the E. I. DuPont De Nemours Company, and resident of Delaware. He graduated cum laude from Howard University with a Bachelor of Science degree in mechanical engineering.  Lyndon is also a graduate of the University of Delaware with a Master of Science degree in mechanical and aerospace engineering.

Apart from his primary career as an engineer, Lyndon has been engaged in a variety of pursuits over the years. For example:

As a writer, in addition to his textbook on Mechanism Analysis mentioned above, Lyndon is the author of dozens of technical papers in engineering and mathematics, as well as booklets entitled, “Search and Find with Guyana in Mind.” and “FUN Multiplication Puzzles.”

AMAZON – https://www.amazon.com/Education-Teaching-Lyndon-O-Barton-Books/s?rh=n%3A8975347011%2Cp_27%3ALyndon+O.+Barton

As an adjunct instructor, Lyndon has lectured in the mechanical engineering and mathematics disciplines at various universities and colleges, mainly in the Delaware area.

As an artist, Lyndon has held one-man exhibitions in the Wilmington and Newark areas, featuring Landmarks of Buxton, Guyana and Landmarks of Newark, Delaware, pictorial essays of historical places of his birthplace and present residence, and Scenes of a Study Hall, based on his classroom observations as a part-time high school art and math teacher. These collections of artwork are accessible at HYPERLINK “” https://www.bartoncreations.com/.

As an inventor, Lyndon is the holder of six U.S patents, including four on board game accessories, and a math puzzle:

Among the awards and recognitions Lyndon has received are:

• A listing among Who’s Who in Science and Engineering In America, Marquis Publication
• Award for Contribution to Art in Buxton, his native village, by CIMBUX, a U.S.-based Committee for Improvement of Buxton
• Cultural and Creativity Award, by The Buxton/Friendship Heritage Fund, a U.S.-based Committee
• Founder’s Special Award by Buxton/Friendship Museum & Archives Committee

Lyndon attributes his multi-faceted career to the following:

• His love for art and mathematics
• Being fortunate to have good role models, and
• His creative approach to problem-solving

Lyndon and his wife Olive are proud parents of four children, and proud grandparents of three children.

———————-

Editor’s Note:

Earlier, there had been problems with the links in this article. The links have now been corrected. Please pardon the inconvenience.