Eritrea’s Theorem

Future AIM's student? An award winning math prodigy from Eritrea. Tesfa news reports:
Image courtesy of ECSS
The International Journal of Mathematics Research (IJMR) has recognized and published three new mathematical theorems developed by an Eritrean high school student as new to Mathematics.

Saied Mohammed Ali, who was a student at the Warsay – Yekealo Senior Secondary School in Sawa back in 2010, was inspired to explore any possible means of converting the double and triple angle formulas that were used in trigonometry, a subject that mainly deals with angles, into side relationships. That led him to discover two new possible ways of conversion.

Named after him, the two theorems are now published at the International Journal of Pure and Applied Science vol. 3 of 2010 as ‘Double Angle Triangle’ and ‘Triple Angle Triangle’ theorems. With the help of these new formulas, one can convert any double angle formula into double angle theorem and a triple angle formula into triple angle triangle theorem. Saied said he was initially inspired by the Pythagoras theorem that later drive the famous formula C2 = A2 + B2 for calculating one side of a right angle triangle through side relationships.

Saied's two theorems could now solve different mathematical problems in geometry, survey, physics, mathematics, astronomy and navigation.

Saied again made some extra efforts to create his third theorem. The International Journal of Mathematics Research again published it as new found discovery on its Vol. 4, No.4 2012 edition [pp. 455-461] of the journal by introducing it to the world as ‘Eritrea’s Theorem’.
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