Associative Binary Operations and the Pythagorean Theorem

Bell, Denis
March 2011
Mathematical Intelligencer;Mar2011, Vol. 33 Issue 1, p92
Academic Journal
The article focuses on binary operations and the Pythagorean theorem (PT). It mentions the new approach in the Pythagorean theorem, in which it aims to deduce the geometric theorem from its analytical and algebraic properties with the use of functional equations. The author provides mathematical proofs, formulas and theorems on the PT, along with its explanations.


Related Articles

  • What Do Pythagorean Triples Have To Do With It? Kuchey, Debora; Flick, T. Michael // Ohio Journal of School Mathematics;Spring2007, Issue 55, p50 

    The article presents the application of pythagorean triples to manipulate the mathematical problem with an integer solution. A pythagorean triple is accompany with the right triangle relationship of positive integers to complete the process. The authors give an example of ten non-trivial triples...

  • GEOMETRIC CONSTRUCTION OF PYTHAGOREAN TRIANGLES. Chandupatla, Tirupathi R.; Osler, Thomas J. // Mathematics & Computer Education;Winter2004, Vol. 38 Issue 1, p90 

    Illustrates how Pythagorean triangles can be constructed from the geometric parameters of m and n. Construction of primitive Pythagorean triangle from parameters m and n; Calculation of triangle lengths.

  • Py·thag·o·re·an theorem.  // American Heritage Student Science Dictionary;2009, p281 

    The article presents a reference entry for Pythagorean theorem. It refers to a theorem stating that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c² = a²...

  • One Pythagoras for All Dimensions. Kalajdzievski, Sasho // Mathematical Intelligencer;Feb2014, Vol. 36 Issue 1, p53 

    The article presents a proof for the Pythagorean theorem which states that the sum of the squares over the sides of a rectangle is equal to the sum of the squares over the diagonals.

  • PYTHAGOREAN TRIPLES FROM INFINITE SERIES. Glaister, P. // Mathematics & Computer Education;Fall2004, Vol. 38 Issue 3, p267 

    Explains how Pythagorean triples can be generated naturally from a class of infinite series whose sums are zero, making connections between different areas mathematics. Applications in mathematics education; Equation to find the sum of two trigonometric series;...

  • Mesopotamian mathematics.  // History of Science & Technology;2004, p33 

    The article deals with Mesopotamian mathematics. It explains the Mesopotamian numeration system which was based on 60 as well as 10. The benefits of its place-value system is cited. An overview about mathematicians in Mesopotamia is given. It is noted that Mesopotamians are good in algebra but...

  • LINKING ALL PYTHAGOREAN TRIPLES. Ecker, Michael W. // Mathematics & Computer Education;Fall2008, Vol. 42 Issue 3, p238 

    The article provides enrichment of precalculus teaching, connecting Pythagorean triples to various offshoots of the theorem of that name such as the sine and cosine of a sum and difference. It notes that all analyzed equations presented with this articl will maintain any negative signs for...

  • Pythagorean Theorem. Rose, Steve // T & P: Tooling & Production;Mar2005, Vol. 71 Issue 3, p12 

    Discusses the practical application of the mathematical formula called the Pythagoren Theorem. Mathematical formula; Design of the equation to solve the unknown lengths of any side of a right triangle; Application of the formula to a part of a machine component; Difference between the...

  • SCHOLASTIC MATH TEACHER'S EDITION Vol. 24, No. 12, May 3, 2004. Silbert, Jack; Boswell, Laurie // Scholastic Math (Teacher's Edition);5/3/2004, Vol. 24 Issue 12, p1 

    Presents the teacher's edition of the May 3, 2004 issue of "Scholastic Math." Mathematical skills which students can learn; Math lessons in the Lewis & Clark's journey; Lesson in Pythagorean theorem; Math lesson in second chances.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics