## Related Articles

- Testing The Utility Of The Pythagorean Expectation Formula On Division One College Football: An Examination And Comparison To The Morey Model. Caro, Cary A.; Machtmes, Ryan // Journal of Business & Economics Research;Dec2013, Vol. 11 Issue 12, p537
The Pythagorean Expectation Formula was the impetus for the statistical revolution of Major League Baseball. The formula, introduced by Bill James, has been used by baseball statisticians to forecast the number of wins a team should have given the total number of runs scored versus those...

- Pythagorean Triples - and More. POLLAK, H. O. // Consortium;Fall/Winter2012, Issue 103, p39
The article discusses the formula for generating Pythagorean triples, which are a combination of algebra, geometry, and number theory. It presents several solutions to bring Pythagorean triples, which are in its lowest terms and algebra. It explores the use of Pythagorean triples for homogenous...

- How to Compute the Volume in a Cylinder. Glynn, Tom // R&D Magazine;Jun2001, Vol. 43 Issue 6, p61
Presents a computation to determine the volume of media in a horizontal cylinder tank using the Pythagorean theorem. Solution for media volume; Formula for the area of the triangle.

- Pythagorean Triad Octagon. Rose, Mike // Mathematics in School;Sep2006, Vol. 35 Issue 4, p16
The article discusses explaining Pythagorean triad octagons in the classroom. It displays a quadrilateral diagram with orthogonal diagonals in which the Pythagorean theorem can be used. It also mentions using Ptolemy's theorem for cyclic quadrilaterals in the diagram. The final challenge is...

- Associative Binary Operations and the Pythagorean Theorem. Bell, Denis // Mathematical Intelligencer;Mar2011, Vol. 33 Issue 1, p92
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...

- Auto workers, plants run at full throttle. Heil, Jennifer // Automotive News;7/11/1994, Vol. 68 Issue 5560, p3
Reports on the excessive overtime hours logged in the American automobile industry for the fiscal 1994. Average work week; Salary for the average hourly worker; Average hours of overtime for auto workers; Analysts' prediction of continued overtime; Alternatives for overtime.

- Functions Satisfying Two Trigonometric Identities. BELL, DENIS // Mathematical Spectrum;2011/2012, Vol. 44 Issue 1, p12
In this note we study two familiar identities in trigonometry, the addition formula for the sine function and the Pythagorean identity. We characterize the set of functions satisfying these identities. This leads to a surprising conclusion.

- Letters to the Editors. // American Scientist;Jul/Aug80, Vol. 68 Issue 4, p362
Presents several letters to the editor on mathematical models of space and vacuum models. Analysis of the Pythagorean theorem; Evaluation of the distance formula for special relativity; Analysis of the models of the original Dirac and modern physicist models.

- On a Diophantine Equation That Generates All Integral Apollonian Gaskets. Kocik, Jerzy // ISRN Geometry;2012, p1
A remarkably simple Diophantine quadratic equation is known to generate all, Apollonian integral gaskets (disk packings). A new derivation of this formula is presented here based on inversive geometry. Also, occurrence of Pythagorean triples in such gaskets is discussed.

- TRIANGLES WITH INTEGER SIDE LENGTHS AND RATIONAL INTERNAL RADIUS P AND EXTERNAL RADIUS R. Zelator, Konstantine // Mathematics & Computer Education;Spring2005, Vol. 39 Issue 2, p152
Focuses on the integration of material from geometry, trigonometry, and number theory. Definition of a Pythagorean triangle; Derivation of a formula for an internal radius and external radius in terms of sidelengths; Facts about squarefree numbers and rational numbers.