# Associative Binary Operations and the Pythagorean Theorem

## 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...

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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.

- PyÂ·thagÂ·oÂ·reÂ·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 cÂ² = aÂ²...

- 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.